D.

This can be solved using the Pythagorean theorem. If the diagonal line between the points is the hypotenuse, we must first determine the side lengths using subtraction. Then insert these values into the Pythagorean theorem and solve for the hypotenuse.

See details:

This can be solved using the Pythagorean theorem. If the diagonal line between the points is the hypotenuse, we must first determine the side lengths using subtraction. Then insert these values into the Pythagorean theorem and solve for the hypotenuse.

See details:

Lilly has a bag only containing blue beads and purple beads.

3/8 of the beads are blue.

If there are 9 blue beads in the bag, how many beads are purple?

**Answer:**

15 purple beads

**Step-by-step explanation:**

Calculate total beads

[tex]\frac{9}{\frac{3}{8} } =\frac{72}{3} =24[/tex]

Calculate how many beads are purple

[tex]24-9=15[/tex]

Hope this helps

There are **total **15 **purple beads**.

A branch of mathematics known as **algebra deals **with **symbols **and the mathematical **operations** performed on them.

Variables are the name given to these symbols because they lack set values.

These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables.

In order to **determine **the **values**, these **symbols **are also **subjected **to various addition, subtraction, multiplication, and division **arithmetic operations**.

given:

**Fraction** of **blue **beads = 3/8

Total **blue beads **= 9

let the **total number **of **beads **be x.

So, 3/8x = 9

x= 9. 8/3

x= 72/3

x= 24

So, **number** of **purple **beads = 24 -9= 15 beads

Hence, there **total** 15 **purple beads**.

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A committee of 3 members is selected from a club made up of junior members and senior members. What is the expected number of juniors in the committee?.

The **expected** number of **juniors** in the **committee** is 1.3

The question is incomplete, the complete question is given below:

A committee of 3 members is selected from a club made up of 13 juniors members and 17 senior members. What is the expected number of juniors in the committee?

The expected number of juniors in the committee is computed here as:

Juniors in the committee=13

**Seniors** in the committee=17

**Total number** of members=(13+17)=30

Fraction of juniors in total members=13/30

So expected number of juniors in the committee:

=Fraction of juniors in total members*Total number of members to be selected

=(13/30)*3

=1.3

Therefore 1.30 is the expected number of juniors in the committee

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RUNNING Stella ran her first half marathon in 2.7 hours. By how many hours must Stella reduce her time to run her next half marathon in fewer than 2.3 hours? Enter an inequality to represent the situation.

**Answer:**

2.7 - h < 2.3

**Step-by-step explanation:**

You want an **inequality** to **represent** the relationship described by "Stella wants to know the **number of hours** (h) by which she must **reduce** her 2.7 hour **half-marathon time** to run in **under 2.3 hours**."

If h is the number of hours by which the time is reduced, Stella wants ...

** 2.7 -h < 2.3 **. . . . . . . . . representative inequality

__

*Additional comment*

The solution would be h > 0.4. Stella must reduce her time by more than 0.4 hours.

<95141404393>

John and Nelly are cleaning their house, Nelly takes 3 hours longer than John if she cleans alone, If they can do the cleaning together in 2 hours, how long can John clean all b yh himself

Answer: **3 hours**

Let john take **x hours **to finish the work

Let nelly take y hours to finish the work

given, y =x+3

Portion of work done by john alone in one hour = **1/x**

Portion of work done by Nelly alone in one hour = 1/y

∴Portion of work done by both john and nelly in one hour = 1/x + 1/y

[tex]= \frac{1}{x} + \frac{1}{x+3}\\=\frac{x+3+x}{x*(x+3)}\\=\frac{2x+3}{x^2+3x}[/tex]

Total time taken by John and nelly to finish the work = 2 hours

[tex]\therefore [2(2x+3)]/[x^2 + 3x] = 1\\= > 4x + 6 = x^2 + 3x\\= > x^2 -x -6 =0\\= > x^2 - 3x + 2x -6 =0\\= > x(x-3) + 2(x-3)=0\\= > (x+2)(x-3)=0[/tex]

Hence either x = -2 or x = 3

Since x is time taken, it cannot be negative, hence **x = 3 **

∴Time taken by john to finish the work = **3 hours**

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Mr. Giordano's drove 4.5 miles in 5 minutes. Mr. Baras drove 6.3 miles in 8 minutes. Who drove faster? Explain using unit rates for both teachers.

If Mr. Giordano's **drove **4.5 miles in 5 minutes and Mr. Baras drove 6.3 miles in 8 minutes, then the Mr. Giordano drove fast because** speed **of Mr. Giordano is greater than Mr. Baras

**The distance** traveled by Mr. Giordano = 4.5 miles

The time taken = 5 minutes

Speed = Distance / Time

Substitute the values in the **equation**

Speed = 4.5/5

= 0.9 miles per minutes

The distance traveled by Mr. Baras = 6.3 miles

**The time taken** = 8 minutes

Speed = Distance / Time

Substitute the values in the equation

Speed = 6.3/8

= 0.78 miles per minutes

Hence, if Mr. Giordano's drove 4.5 miles in 5 minutes and Mr. Baras drove 6.3 miles in 8 minutes, then the Mr. Giordano drove fast because speed of Mr. Giordano is greater than Mr. Baras

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Find the values of the ratios

(red to blue) of the

perimeters and areas of the

similar figures. Write the

ratios as fractions in

simplest form.

5

8

The ratio of the perimeters is

The ratio of the areas is

**Answer:**

**Step-by-step explanation:**

You want the **ratios (red to blue)**, of **perimeter** and **area**, given that corresponding sides have the ratio red to blue = **5 to 8**.

The ratio of perimeters is the ratio of corresponding side lengths:

red to blue =** 5 / 8**

The ratio of areas is the square of the ratio of corresponding side lengths:

red to blue = (5 to 8)² = **25 / 64**

__

*Additional comment*

Ratios are customarily expressed in any of three equivalent forms:

5 to 85:85/8 "fraction" formTammy’s take-home pay is $800 a month. She spends 7% on her take-home pay on her cell phone bill. How much is Tammy’s monthly cell phone bill?

**Answer:744**

**Step-by-step explanation:**

800-7%=744

**Answer:**

$56

**Step-by-step explanation:**

As the x-value increases by 20, the y-value increases by 10. Which of the following equations represents the relationship between the x and y-values

An **equation** which represents the **proportional** relationship between the x and y-values is: C. y = 2x.

A **direct **variation represents two variables that are **directly** **proportional** to each other, which simply means as one variable increases, the other variable also increases and vice-versa.

Mathematically, a **proportional** relationship can be represented by the following equation:

y = kx

Where:

k is the constant ofNext, we would determine the constant of **proportionality **(k) based on the data points given:

k = y/x

k = 20/10

k = 2

Therefore, the required **equation **is as follows:

y = 2x

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Complete Question:

As the x-value increases by 20, the y-value increases by 10. Which of the following equations represents the relationship between the x and y-values?

A. y = 2 + x

B. y = 2 - x

C. y = 2x

Which ratios have the unit rate less than 1?choose all the apply

**2 feet** : 12/5 minutes

**1/8 foot**: 1 2/3 minutes

**3 feet **: 4 2/3 minutes

**1 5/8 feet** :2 minutes

A **ratio **displays the **multiplicity** of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, whereas the ratio of** lemons to oranges** is 6:8. Ratios contrast two figures by typically **dividing** them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are **multiplying** information A by** information** B. For instance, your ratio will be 5/10 if A is 5 and B is 10.

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A right cylinder has a radius of 5 and a height of 9. What is its surface area? O A. 72 units O B. 90 units O c. 45rt units O D. 108r units

Explanation

The formula to find the surface area of a cylinder is:

[tex]\begin{gathered} SA=2\pi r^2+2\pi rh\text{ } \\ \text{ Where} \\ SA\text{ is the surface area} \\ r\text{ is the radius} \\ h\text{ is the height} \end{gathered}[/tex]In this case, we have:

[tex]\begin{gathered} r=5 \\ h=9 \end{gathered}[/tex][tex]\begin{gathered} SA=2\pi r^2+2\pi rh \\ SA=2\pi(5^2)+2\pi(5)(9) \\ SA=2\pi(25)+90\pi \\ SA=50\pi+90\pi \\ SA=140\pi \end{gathered}[/tex]Answer**B. 140π units²**

Sally invests £8000 in a savings account.

The account pays 2.8% compound interest per year.

Work out the value of her investment after 4 years.

Give your answer to the nearest penny.

After four years, the **investment **is worth **£8934.34.**

The interest you earn on interest is known as **compound interest. **For instance, if you start with $100 and it generates 5% interest annually, you will conclude the first year with **$105 **in your account. You'll have $110.25 after the **second year **is over.

We employ the formula approach to determine the **entire amount,**

**A = P(1+r)^n**

The amount invested, or **principal(P), is £8,000.**

Interest rate r is** 2.8%, or 0.028.**

**n = 4 **years have passed.

Now, **immediately **enter these values into the formula, **A = P(1+r)n.**

**A = 8000 * (1 + 0.028) ^ 4**

= 8000 * 1.028 ^ 4

**= 8934.34**

Consequently, the **investment's value **after four years is** £8934.34.**

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URGENT!!! PLEASE HELP ME!!!

98x1/2x4x5=63

Answer is 63

Answer is 63

The amount of gas that a helicopter uses is directly

proportional to the number of hours spent flying. The

helicopter flies for 2 hours and Uses 26 gallons of fuel.

Find the number of gallons of fuel that the helicopter uses

to fly for 5 hours.

**Answer:**

65

**Step-by-step explanation:**

2:26

1:x

26/2 = x = 13

The heli uses 13 gallons per hour.

5:y

13x5 = y = 65

Hope that helps

a rectangular plot of ground is 30 meters longer than it is wide. Its area is 20,000 square meters. which equation will help you find the detentions?

The equation of the **dimensions** of the **rectangular plot** is W² + 30W - 20,000 = 0

Let

L = length ofSince the **rectangular** **plot **of ground is 30 meters longer than it is wide, we have that

L = W + 30

Since the area of the **rectangular plot** is A = LW where

Since A = 20,000 m², we have that

LW = 20,000

(W + 30)W = 20,000

W² + 30W = 20,000

W² + 30W - 20,000 = 0

Using the quadratic formula, we have that

[tex]W = \frac{-30 +/- \sqrt{30^{2} - 4 X (-20000)} }{2 X 1} \\W = \frac{-30 +/- \sqrt{900 + 80000} }{2} \\W = \frac{-30 +/- \sqrt{80900} }{2} \\W = \frac{-30 +/- 284.43}{2} \\W = \frac{-30 +/- 284.43}{2}\\W = \frac{-30 - 284.43}{2} or \frac{-30 + 284.43}{2}\\W = \frac{-314.43}{2} or \frac{254.43}{2}\\W = -157.22 or 127.23\\[/tex]

Since W cannot be negative, we have W = 127.23

Since L = W + 30

L = 127.23 + 30

L = 157.23

So, the dimensions are

Length = 157.23 mWidth = 127.23 mSo, the equation of the **dimensions** of the **rectangular plot** is W² + 30W - 20,000 = 0

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ms. Torres has a box of scraps of wood. She measures the length of each scrap of wood to the nearest half inch results are represented on the line plot below.

The length of the **scraps of wood **when placed side by side is 53 inches.

A **line plot **is a graph that is made up of a **number line** and** check marks **above the numbers on th**e number line.** The check marks above the number line represents the frequency of the data. For example, there are two **checkmarks **above 7. This means that there are two **scraps **of **woods **that measure 7 inches.

In order to determine the approximate length of the **scraps of wood **if they are placed side by side,** add **the **length **of each **scrap **of wood together.

**Addition **is a mathematical operation that is used to determine the sum of two or more numbers. The sign that is used to denote **addition **is +.

[tex]5\frac{1}{2} + 6 + (6\frac{1}{2}. 3) + (7. 2) + 8[/tex] =

[tex]5\frac{1}{2} + 6 + 19\frac{1}{2} + 14 + 8[/tex] = 53 inches

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Toby’s Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys.

Toby’s has a variable expense of $12.50 a piece for each toy they produce, and they

sell their toys for $16.50 a piece. How many tiny toys do they have to sell to reach

their breakeven point?

The number of tiny toys that Toby's Tiny Toys need to sell to reach its **break-even point** is 13,475.

The **break-even point **is the production and sales units that will ensure that Toby's Tiny Toys does not incur a **loss** or generate a **profit**.

At the **break-even point,** the total revenues are equal to the total costs (fixed and variable).

Selling price per unit = $16.50

Variable expenses per unit = $12.50

Contribution margin per unit = $4 ($16.50 - $12.50)

Fixed expenses = $53,900

**Break-even point** in units = Fixed costs/Contribution margin per unit

= 13,475 ($53,900/$4)

Thus, we can conclude that Toby’s Tiny Toys needs to sell 13,475 to **break even**.

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The **number **of Toby's tiny toys is 13,475 which needs to **sell **to reach its **break**-**even point**.

The overall **revenues **and entire **costs **are equal at the break-even point (fixed and variable).

The **production **and **sales **units that will verify that Toby's Tiny Toys does not suffer a **loss **or make a profit are the **break-even point.**

$16.50 is the selling price per unit.

**Variable costs **amount to $12.50 per unit.

The **contribution margin **= $16.50 - $12.50 = $4 per unit equals

Fixed costs is $53,900.

Break-even point = Fixed costs / Contribution margin

Break-even point = $53,900/$4

Apply **division** operation to get

Break-even point = 13,475

Thus, the **number **of Toby's tiny toys is 13,475 which needs to **sell **to reach its **break**-**even point**.

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after cynthia microwaves her bowl of morning porridge, it is either too cold, just right, or too hot. she estimates that there is a 35\55, percent chance that it will be too cold and a 50\pp, percent chance that it will be too hot. what is the probability that cynthia's morning porridge will be just right?

The **probability **that Cynthia's morning porridge will be just right is 15%.

**Probability **is defined as the likeliness of an event to happen. It can be determined by dividing the total number of the desired outcome by the total number of samples.

The sum of the probabilities in a probability distribution is always 1.

If there are three outcomes: too cold, just right, and too hot, then the sum of their probabilities is equal to 1 or 100%.

P(too cold) + P(just right) + P(too hot) = 100%

35% + P(just right) + 50% = 100%

P(just right) = 100 - (35 + 50)

P(just right) = 100 - 85

P(just right) = 15%

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There are 8 batteries in a package of AA batteries, and 12 batteries in

a package of AAA batteries. If you buy 10 packages of AA batteries and

6 packages of AAA batteries, how many batteries would you have?

A- 156 batteries

B- 36 batteries

C- 152 batteries

**Answer:**

C. 152

**Step-by-step explanation:**

8 × 10 + 6 × 12 = 80 + 72 = 152

10 x 8 = 80 6 x 12 = 72 72+80 = 152 therefore the answer is 152

Mr Tan had 2 kg of sugar

He usedkg of sugar to make dessert and kg of sugar to ooke

some cakes.

(a) What was the total mass of sugar used?

(b) How much sugar did he have left?

a) The **total mass** of sugar used is 1.7 kg.

b)The **mass** of **sugar** he has left is 0.3 kg.

A **fraction **is a numerical value that represents a piece of a total in **mathematics**. The total can be any** number**, a specific value, or a single item. **Fractions** are denoted by the symbol p/q.

Given:

Total mass of sugar Mr tan has = 2 kg

Fraction of sugar used to make dessert = 1/4 kg

Fraction of sugar used to bake some cakes = 3/5 kg

The total** **mass of sugar used is determined as,

= Mass of sugar used to make dessert + Mass of sugar used to bake some cakes

Mass of sugar used to make dessert = (1/4 of 2) kg = 1/2 kg

Mass of sugar used to bake some cakes = (3/5 of 2) kg = 6/5 kg

Total mass of sugar used = (1/2 + 6/5) kg = 17/10 = 1.7 kg

Mass of sugar left with him = Total mass of sugar - Total mass of sugar used

= 2 kg - 1.7 kg = 0.3 kg

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The complete question is: "Mr tan had 2 kg of sugar. He used 1/4 kg of sugar to make dessert and 3/5 kg of sugar to bake some cakes.

(a) What was the total mass of sugar used?

(b) How much sugar did he have left?"

AThe formula for the circumference of a circle is C = 2tr. Find the circumference of acircle with a diameter of 4 ft.

Given the formula for the circumference of a circle:

C = 2πr

Let's find the circumference of a circle with a diameter of 4 ft.

Where r is the radius.

To find the radius, we have:

[tex]\text{radius}=\frac{\text{diameter}}{2}=\frac{4}{2}=2ft[/tex]The radius of the circle is 2 ft.

Take π = 3.14

Hence, to find the circumference of the circle, C, substitute 2 for r, 3.14 for π, and evaluate.

Thus, we have:

[tex]\begin{gathered} C=2\pi r \\ \\ C=2\ast3.14\ast2 \\ \\ C=12.56\text{ ft} \end{gathered}[/tex]**Therefore, the circumference of the circle is **** 12.56 ft **

**ANSWER:**

**C. 12.56 ft**

Help me with this please

**Answer:**

first plot the positive 2 on the y axis

plot (0,2)

Then from (0,2) go up 2 and right 2.

Answer in attached image

difference between a number and its positive square root is 12.find the number

**Answer:16**

**Step-by-step explanation:**

x-[tex]\sqrt{x}[/tex]=12

x=16

A roofer tosses a hammer off the roof of a house that is 12 feet above the surface of the ground. the graph shows the height above the surface of the ground, y, in feet the hammer is x seconds after being thrown from the roof

**Given**

**Solution**

**The final answer**

**Option C**

A car’s velocity increases from 4.2m/s to 14.8 m/s, E, in 2.5 sec. What is its acceleration?

**Answer:**

4.24ms-²

**Step-by-step explanation:**

S: x. write suvat and sub in values

u:4.2

v:14.8

a:?

t:2.5

use correct equation

v=u+at

sub values in

14.8=4.2+2.5a

rearrange to get a

10.6/2.5= a

a=4.24

What is the slope of the line that passes through the points (-4, 2)(−4,2) and (-5, 0)(−5,0)? Write your answer in simplest form.

**Answer:** 2

**Step-by-step explanation:**

We will use the **slope formula **to find the **slope **of the **line **going through these two points.

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]\displaystyle \frac{0-2}{-5--4} =\frac{-2}{-5+4} =\frac{-2}{-1} =2[/tex]

The **slope **of this **line **is 2.

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Question ♀️ 2The function p(t) = 2(3)^t represents the population of a certain type of bacteria after t days. What is the population of the bacteria after 7 days?

**Explanation**

Given the function;

[tex]p(t)=2(3)^t[/tex]**We are asked to find the population of the bacteria after 7 days. **

Given that t represents the number of days, we can find the population by substituting 7 into the formula. This can be seen below.

[tex]\begin{gathered} p(t)=2(3)^7 \\ =2\times2187=4374 \end{gathered}[/tex]**Answer: 4374**

Simplify to a single power of 3:

3^{6}\cdot 3^{5}

3

6

⋅3

5 this isnt an abc choice you have to find the small number????

The **simplified form** of 3^6 . 3^5 to a single power of 3 is 3^11.

Given,

The** exponents;** 3^6 and 3^5.

We have to simplify this into a single power of 3.

In multiplication;

For exponents withThat is,

aᵇ . aⁿ = a^(b + n)

For exponents with different base, multiply the base and add the exponents.a^b . c^d = a x c ^ (b + d) = ac^bd

So,

3⁶ . 3⁵ = 3^(6 + 5) = 3¹¹

That is,

The **simplified form **of 3^6 . 3^5 to a single power of 3 is 3^11.

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Danny measured a house and its lot and made a scale drawing. The scale of the drawing was 1 inch : 5 feet. The houses driveway is 20 feet widein real life. How wide is the driveway in the drawing?

The width of the house driveway in the **scale drawing** is 4 inches.

**Scale drawing** is drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale).

Therefore, he measured a house and its lot and made a **scale drawing**.

The **scale** of the **drawing** was 1 inch : 5 feet.

The houses driveway is 20 feet wide in real life.

Therefore,

5 feet = 1 inch

20 feet = ?

cross multiply

Therefore,

width of the driveway on the **scale drawing** = 20 × 1 / 5

width of the driveway on the **scale drawing** = 20 / 5

width of the driveway on the **scale drawing** = 4 inches.

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Members of a lacrosse team raised $2863.50 to go to a tournament. They rented a

bus for $1087.50 and budgeted $74 per player for meals. Which equation or tape

diagram could be used to represent the context if a represents the number of players

the team can bring to the tournament?

**Linear equations - **The team can bring its 24 players

**What do you mean by linear equations with one variable?**

A** linear equation **with one **variable **is one that can be written as ax+b = 0, where a and b are two integers, and x is a **variable**. This type of problem only has one solution. For instance, the **linear equation** 4x+4=8 only has one **variable**.

We are given that,

the total money raised by the lacrosse team is given to be $2863.50

bus rented at a cost of $1087.50

meal budget per person is calculated to be $74

let us assume the number of players the team can bring to the tournament to be "x".

bus rent + (meal budget * number of players) = total money raised

= 1087.50 + (74*x) = 2863.50

= 1087.50 + 74x = 2863.50

= 74x = 2863.50 - 1087.50

= 74x = 1776

= x = 1776 ÷ 74

= x = 24

Thus the team can bring its 24 players.

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PLS HELP!!!!!

31 POINTS

Here are a few answers

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