Caroline drives 37.5 miles in 30 minutes. If she drove three hours in total at the same rate, how far did she go?

Answer: 5+10=15

Step-by-step explanation:

Answer:

10+5=15

Step-by-step explanation:

there is a nother way to get 15. 5+5=10+5=15

Answer: Option A.

Step-by-step explanation:

The first step is to place the point of the compass in the vertex of the angle and draw an arc that connects both rays.

Then you put the compass in the points where the arc intersected the rays and draw two new arcs (with the radius of the compass constant)

The point where the two new arcs intersect will be the interior point.

Then the first step is: place the compass in the vertex of the angle.

The vertex is the common point to the two rays, in this case, we can see that the vertex is the point A.

Then you should place the compass in the point A, the correct option is option A.

Answer:

x=-7

Step-by-step explanation:

hope this helps

Answer:

DIS WILL  help

Step-by-step explanation:

Answer:

The value of k is 24

Step-by-step explanation:

y = 24x

The equation for a direct variation is

y = kx

The constant of proportionality is k

y = 24x

The value of k is 24

Answer:

Hi there!

An equation to represent how he got $460.65 as take home pay is:

15x - (.17× (15x) ) = 460.65

15x tells us how much money he earned in total. We also multiply that by .17 to determine how much goes to taxes. Then, we subtract taxes from total, and put that equal to our take home pay

Hope this helps

Answer:

X=-7

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

Finding the answer to this expression is very simple.

You can work backwards to find it. First off you need to subtract 5 from both sides :

x + 5 - 5 = -2 -5, in which that will give you,

5 - 5 = 0 and -2 - 5 = -7 so,

x = -7 as simple as that!

Hope this helps!!

Answering its B

Step-by-step explanation:

Just took the test edge 2020

Melissa made 5 three-point baskets in her basketball game.

Cramer's Rule is a system of linear equation solving technique.

Let's say we're given a system of linear equations.

ax+by=c

dx+ey=f

then, the solution of the equation with the Cramer's rule is given by

[tex]x= \frac{\begin{vmatrix}c&b\\f&e\end{vmatrix}}{\begin{vmatrix}a&b\\d&e\end{vmatrix}}[/tex]

[tex]y= \frac{\begin{vmatrix}a&c\\d&f\end{vmatrix}}{\begin{vmatrix}a&b\\d&e\end{vmatrix}}[/tex]

Let Melissa make 'x' 2-point baskets and 'y' 3-point baskets.
So, as she made a total of 14 baskets we have that

x+y=14

and, as she made a total of 33 points we have that

2x+3y=33

We end up with the system of linear equations.

x+y=14

2x+3y=33

This gives us the matrix equation

[tex]\left[\begin{array}{ccc}1&1\\2&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}14\\33\end{array}\right][/tex]

Using Cramer's rule we get

[tex]x= \frac{\begin{vmatrix}14&1\\33&3\end{vmatrix}}{\begin{vmatrix}1&1\\2&3\end{vmatrix}}=\frac{14 \times 3 - 1 \times 33}{1 \times 3 - 1 \times 2} = \frac{42 - 33}{3-2}=\frac{9}{1} =9[/tex]

[tex]y= \frac{\begin{vmatrix}1&14\\2&33\end{vmatrix}}{\begin{vmatrix}1&1\\2&3\end{vmatrix}}=\frac{1 \times 33 - 14 \times 2}{1 \times 3 - 1 \times 2} =\frac{33-28}{3-2}= \frac{5}{1} =5\\[/tex]

Hence, Melissa made (y=)5 three-point baskets in her basketball game.

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Answer:

Calculating the Actual Distance using the Scale

If the scale is 1 : x, then multiply the map distance by x to calculate the actual distance.

Step-by-step explanation:

f(a + 2) for f(x) = (3 + x) / (x - 3)

Substitute a + 2 for x in our equation

f(a + 2) = (3 + (a + 2)) / ((a + 2) - 3)

Combine like terms

f(a + 2) = (5 + a) / (a - 1).

This is as far as you can go.

C is the correct answer choice

Answer:

2.50$

Step-by-step explanation:

you would divide 35 and 14

35/14=2.5

2.5=$2.50

Answer:

^(3)+7x^(2)+4x-12

Step-by-step explanation:

Answer:

p(x) = (x-1)(x+2)(x+6)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When rounding, you look at the number to the right of what you are rounding to. If the number the right of the hundreth's place is 5 or more, you round the hundreth up. If the number next to the hundreth is 4 or less, the hundreth stays the same. So, you round up in answer choise A and get the right answer.

I hope this helps you :)

The number when rounded to its nearest hundredth gives 37.623 is

37.618.

Option A is the correct answer.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 = thousandths place value

We have,

Rounding to the nearest hundredth.

A.

37.618

1 is in the hundredth place value.

= 37.62

B.

37.627

2 is in the hundredth place value.

= 37.63

C.37.626

2 is in the hundredth place value.

= 37.63

D.

37.612​

1 is in the hundredth place value.

= 37.61

Thus,

When rounded to the nearest hundredth 37.618 gives 37.62.

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In problems that involve the perimeter of a rectangle, I would draw a picture

of the rectangle and label its dimensions to help you set up your equation.

Since the width of the rectangle is 4 inches less than the length,

we can call the length of the rectangle x and the width x - 4.

Now draw a picture, I have done this below.

The rets of my work is shown below.

Answer:

Step-by-step explanation:

Answer:

81, 243, 729, 2187, 6561

Step-by-step explanation:

Note that the

third term 9 = 3²

fourth term 27 = 3³

Thus to obtain a particular term in the sequence we require the exponent to be one less than the terms position n in the sequence, that is

[tex]a_{n}[/tex] = [tex]3^{n-1}[/tex] , thus

first term 1 → [tex]3^{1-1}[/tex] = [tex]3^{0}[/tex] = 1

The next 5 terms in the sequence are

[tex]a_{5}[/tex] = [tex]3^{5-1}[/tex] = [tex]3^{4}[/tex] = 81

[tex]a_{6}[/tex] = [tex]3^{6-1}[/tex] = [tex]3^{5}[/tex] = 243

[tex]a_{7}[/tex] = [tex]3^{7-1}[/tex] = [tex]3^{6}[/tex] = 729

[tex]a_{8}[/tex] = [tex]3^{8-1}[/tex] = [tex]3^{7}[/tex] = 2187

[tex]a_{9}[/tex] = [tex]3^{9-1}[/tex] = [tex]3^{8}[/tex] = 6561

Answer:

=−21x+12y+4

Step-by-step explanation:

Distribute:

=(−3)(5x)+(−3)(−4y)+(−3)(2)+−6x+10

=−15x+12y+−6+−6x+10

Combine Like Terms:

=−15x+12y+−6+−6x+10

=(−15x+−6x)+(12y)+(−6+10)

=−21x+12y+4

Answer:

1: Angles in a triangle add up to 180°. The square represents a right angle (90°)

[tex]x=180-90-60=30[/tex]

2:

[tex]y=180-100-45=35[/tex]

3:

Angles on a straight line add up to 180°.

[tex]x=180-70=110[/tex]

4:

[tex]y=180-120=60[/tex]

Answer:

[tex] 4 {x}^{7}[/tex]

Step-by-step explanation:

[tex] \bigg(16 {x}^{4} \bigg)^{ \frac{1}{4} } \ast2 {x}^{6} \\ = \bigg( {2}^{4} {x}^{4} \bigg)^{ \frac{1}{4} } \ast2 {x}^{6} \\ = {2}^{4 \times ^{ \frac{1}{4} }} {x}^{4 \times ^{ \frac{1}{4} }} \ast2 {x}^{6} \\ =2x \ast \: 2 {x}^{6} \\ = 2 \times 2 \times x \times {x}^{6} \\ {2}^{1 + 1} \times {x}^{1 + 6} \\ = {2}^{2} \times {x}^{7} \\ = 4 {x}^{7} \\ [/tex]

Answer:

B.  9

Step-by-step explanation:

18 per two hours. 18 divided by 2= 9.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{15y + 6}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{(8y + {y}^{2} + 7y + 9) - ( {y}^{2} + 3)}[/tex]

When there is a ( - ) in front of an expression in parentheses, change the sign of each term

[tex] \dashrightarrow \sf{8y + {y}^{2} + 7y + 9 - {y}^{2} - 3}[/tex]

Since two opposites add up to zero, remove them from the expression

[tex] \dashrightarrow{ \sf{8y + 7y + 9 - 3}}[/tex]

Add the like terms : 8y and 7y

[tex] \dashrightarrow{ \sf{15y + 9 - 3}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer

[tex] \longrightarrow{ \sf{15y + 6}}[/tex]

Hope I helped!

Best regards! :D

Answer:

-47.8 feet

Step-by-step explanation:

Answer:

47.8 feet below

Step-by-step explanation:

Answer:

36.2

Step-by-step explanation:

144.8/4 = 36.2

The answer is 36.2 when 144.8 divided by 4.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 12 + 2 = 14

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 12 -2 = 10

* Multiplication operation: Multiplies values on either side of the operator

For example 12*2 = 24

/ Division operation: Divides left-hand operand by right-hand operand

For example 12/2 = 6

Given that digit as :

If the denominator is 144.8, the numerator can be taken as 4, so the fraction would become as:

⇒ 144.8/4

⇒ 36.2

Hence, the answer is 36.2 when 144.8 divided by 4.

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Answer:

3 3/8 cups of flour

Step-by-step explanation:

So, we know that 2 1/4 is the normal amount of flour you would use in the recipe. but you don't want to do normal. You want to make 1 1/2 times more than you usually do.

To do this, first figure out what half of 2 1/4 is.

(2 1/4) /2 = 1 1/8

Then, because you are looking to use 1 1/2 times more flour, simply add the 1 1/8 to the 2 1/4

You end up using 3 3/8 cups of flour.

Answer:

x=-9

Step-by-step explanation:

-2x-13=-x-4

+x         +x

-x-13=-4

  +13  +13

-x=9

x=-9

Answer:

i need more intel like numbers

Step-by-step explanation:

Complementary angles are two angles that add up to 90 degrees

So, 2x + 3x = 90 we have to solve for x

5x = 90

Divide each side by 5

x = 18

Plug 18 into x for 3x and 2x

3x = 3(18) = 54

2x= 2(18) = 36

Answer:

f(x) = 9x - 1,200

Step-by-step explanation:

Let x represent the number of movie tickets sold.

9x will represent the profit made from selling movie tickets that day, since each ticket is 9 dollars.

To determine the profit, subtract 1,200 from 9x.

9x - 1,200 will represent the profit. Turn this into a function:

f(x) = 9x - 1,200 where x is the number of movie tickets sold and f(x) is the profit

Answer:

10x=15•2

10x=30

30÷10=3

x=3

ML = 15

MN=30