Andrew walked 24 laps during a walkathon to raise money for his school's art department. Each lap was 1 4 of a mile, and Andrew's dad donated $5.25 for every mile that Andrew walked. How much money did Andrew's dad donate? $

Answer:

Option A

Step-by-step explanation:

According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,

[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]

NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.

According to the question ,

Coordinate of C = (2 , -1)

Coordinate of D = (5 , 3)

Using distance formula ,

[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]

[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

Answer:

For the polygons to be similar, both these ratios must be equal which is the required scale factor. So, the given polygons are not similar.

Step-by-step explanation:

Answer:

a. not similar

b. similar, ABCDE ~ SRVUT, scale factor: 2

Step-by-step explanation:

Answer:

88 feet

Step-by-step explanation:

2x (6x4+6x2+4x2)=88

Answer:

55%

Step-by-step explanation:

One whole box is shaded plus that one line, if you separate both into 2 100%, the one line will equal to 10% but then divide the 10% in half and the 100% which will equal to 55%

Answer: See explanation

Step-by-step explanation:

Since forty-five basketball players participated in the tournament and a 3-person team wants to be formed, the equation to find the number x of 3-person teams that they can form will be:

3x = 45

x = 45/3

x = 15

Therefore, 15 3-person team can be formed.

Answer:

3(5x-6)

Step-by-step explanation:

I hope this helps you out, let me know if you need to know how it's solved.

Answer:

15x-18

Step-by-step explanation:

[tex]6(4x-3)-9x\\24x-18-9x\\15x-18[/tex]

Answer:

b+24

Step-by-step explanation:

Addition is one of the four fundamental mathematical operations. The given phrase can be written in the form of an expression as b+24.

Addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

An expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context. Therefore, The given phrase can be written in the form of an expression as,

Sum of a number b and 24 → b+24

Hence, The given phrase can be written in the form of an expression as b+24.

Learn more about Addition here:

https://brainly.com/question/14092461

#SPJ2

Answer:

4cm

Step-by-step explanation:

The volume of the cylinder is the product of the area of the base and the height. In mathematical equation, this can be written as,

                                     V = πr²h

where V is volume, r is the radius, and h is the height.

Substituting the known values from the given,

                                 176π cm³ = πr²(11 cm)

Answer: x = 4

Step-by-step explanation:

   x/2=10/5

Multiply both sides of the equation by 2.

2⋅  x/2 = 10 /5 ⋅ 2

Simplify both sides of the equation.

Cancel the common factor of 2.

Rewrite the expression.

x= 2 ⋅ 10/5

Divide 10 by 5.

x= 2 ⋅ 10/5

Multiply 2 by 2.

x = 2 ⋅ 2

x = 4

please give brainiest :)

Answer:

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]

The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758

Answer:

6.  162

7. c

Step-by-step explanation:

Answer:

6. 162

7. C

Step-by-step explanation:

6. Replace the values of a and b into the expression:

8a + 6b = 8(12) + 6(11)

             = 96 + 66

             = 162

7. The distributive property states that whatever is outside a bracket must be multiplied to ALL terms in the brackets:

5(2f+4) = (5 × 2f) + (5 × 4)

            = 10f + 20

Answer:

x is corresponding with the angle that equals 130 so it equals 130 too

Step-by-step explanation:

Answer:

I'm pretty sure it's the 1 or tha last one

Answer:

[tex]y=\frac{1}{4}x-1[/tex]

Step-by-step explanation:

Parallel lines always have equal slopes. Therefore, this eliminates two options and we just need to find the y-intercept. Since the line passes through [tex](-4,-2)[/tex], we have:

[tex]-2=\frac{1}{4}(-4)+b,\\b=-1[/tex].

Therefore, the equation of the line is:

[tex]y=\frac{1}{4}x-1[/tex]

Answer:

1.94 + 24x = 43.22 ;

1.72

Step-by-step explanation:

Given :

Cost of orange = 1.94

Pack of juice = 24

Total amount spent = 43.22

Cost of orange + (number of juice * cost per bottle) = total amount spent

Let cost per bottle = x

1.94 + (24 * x) = 43.22

1.94 + 24x = 43.22

24x = 43.22 - 1.94

24x = 41.28

x = 41. 28 / 24

x = 1.72

Answer:

The answer is b and helping for higer points

Step-by-step explanation:

Answer: D

Step-by-step explanation:

y intercept is at 2 and the slope is 1/5

Answer:

Step-by-step explanation:

if 60% of the workers are women, and we have 1920 total of people

1920x 60/100=1152 women

768 are men

Answer:

Both are correct

Step-by-step explanation:

Rico got 6/8

Nita got 3/4

Equivalent fraction

2/2 x Nita point

2/2 x 3/4

6 / 8

So,

Nita point = Rico point

6/8 = 6/8

Answer:

Both are corre

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

Answer: 96 cubic centimeters

Step-by-step explanation:

For a cubic prism with length L, width W and height H, the volume is:

V = L*W*H

For this case, we know that the measures of the prism are:

2cm, 8cm, and 6cm, then we can take:

Length = 2cm

Width = 8cm

Height = 6cm

Then the volume of this prism will be:

V = 2cm*8cm*6cm = 96 cm^3

Then the correct option is 96 cubic centimeters

Answer:

Step-by-step explanation:

Here you go mate

Step 1

mp-(m+2)

Step 2

(-6)(3)-((-6)+2)  Substitute m for -6 and p for 3

Step 3

(-6)(3)-((-6)+2)  Simplify

answer

-14

Hope this helps

Answer:

Jay has $72

Step-by-step explanation:

$87-$15=$72

Answer: Jay has $72.

Step-by-step explanation: It's basically a subtraction problem. You are subtracting 87-15 and getting 72.

Answer:

7√2

Step-by-step explanation:

i don't feel like explaining

Answer:

We conclude that:

g(f(x)) = -3x+3

Step-by-step explanation:

Given

To determine

In order to determine g(f(x)), first we need to substiute f(x) = 3x-3 in g(f(x)).

g(f(x)) = g(3x-3)

now substitute x = 3x-3 in g(x)

         = -(3x-3)

         = -3x+3

Therefore, we conclude that:

g(f(x)) = -3x+3

Answer:

5

Step-by-step explanation:

Pemdas you do the 3x6 first then add the twelve. you would be at 30 1/3 of that is 10 then you subtract the 5

Answer:

Step-by-step explanation:

we will multiply first

-4x+16=12

-4x=12-16

-4x=-4

x=1

Step-by-step explanation:

Here is your answer

Hope it helps you

Answer:

The left side of the equation is ignored

i is treated as -1, which it is not, it is instead the square root of negative 1.

To solve it properly we get:

(2 - 5i)(5 + 2i)

= 10 + 4i - 25i - 10i²

= 10 + 21i + 10

= 20 - 21i

Answer:

The error is that, the student replaced i with -1 which is wrong as i = √-1

And he has replaced i^2 with 1 while i^2 = -1

Step-by-step explanation:

Given two numbers that are being multiplied are:

(2-5i)(5+2i)

We will solve the question to get the right result so that the error can be detected.

So, multiplying both

[tex]= 2(5+2i)-5i(5+2i)\\=10+4i-25i-10i^2\\=10-21i-10(-1)\ \ \ as\ i^2 = -1\\=10-21i+10[/tex]

The error is that, the student replaced i with -1 which is wrong as i = √-1

And he has replaced i^2 with 1 while i^2 = -1

Answer:

package with 2.09 pounds

Step-by-step explanation:

When rounding to the nearest whole number, if the first number after the decimal point is equal or greater than 5, add 1 to the number before the decimal. If this is not the case, add 0 to the number before the decimal point.

to round 2.56 to the nearest whole number equals 3.

While to round 2.09 to the nearest whole number equals 2.

Because Emma needs 2 pounds, she would go with 2.09 pounds