Solve the following:
a) 2(3x - 1) = 40
b) 4(2x + 13) = 80

Answer:

Danny

Step-by-step explanation:

danny offers $10 for 1 hour whereas martin offers $12 for 1 hour

Answer: Danny offered a better deal than Martin.

Step-by-step explanation:  Danny offers $10 per hour. While, Martin charges $12 per hour.

It's simple math:  [tex]\frac{30}{3}[/tex]= $10 per hour for Danny

                              [tex]\frac{24}{2}[/tex] = $12 per hour for Martin

Answer:

c: 17

Step-by-step explanation:

Answer:17

Step-by-step explanation:did the practice and got it right

9514 1404 393

Answer:

  20 ounces

Step-by-step explanation:

We can multiply the given ratio by 5 to see the answer:

  4 oz : 10 gal = 5·4 oz : 5·10 gal = 20 oz : 50 gal

20 ounces of fertilizer are required.

Answer:c

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

a= 12, b= 24, c = 12, d= 12root3

Step-by-step explanation:

Because the triangle to the left is a right triangle with a 45 degree angle, we can deduce that it is a 45-45-90 special triangle where a =c. Furthermore, a and c = the hypotenuse divided by root 2.

12 root 2 / root 2 = 12

a=12, c=12

The triangle to the right is a right triangle with a 30 degree angle, so it is a 30-60-90 special right triangle.

If a = 12, b is 2 times a

b= 2*12 = 24

If a =12, d = a * root 3

d= 12root3

I hope this helped! :)

Answer: Knock Knock!

Step-by-step explanation: (Who's there?)

Answer:

A; y- 4 = -2(x + 1)

Step-by-step explanation:

Here, we want to find the equation of the given line

The general form

is ;

y = mx + c

c is the y-intercept which is 2

So we have

y = mx + 2

The x-intercept where y = 0 is 1

Thus;

0 = m(1) + 2

0 = m + 2

m = -2

So the equation of the line is

y = -2x + 2

We can rewrite this in the point-slope form as:

y - 4 = -2(x + 1)

Answer:

Please check the explanation.

Step-by-step explanation:

We know that when y varies directly with x, we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the 'constant of direct variation'.

We are given that x = -2 and y = -2

Thus,

The equation is:

y = kx

substituting x = -2 and y = -2

-2 = k(-2)

-2 = -2k

We can further simplify the equation to determine the value of 'k'

so

dividing the equation by -2

-2/-2 = -2k/-2

1 = k

Therefore, the value of k = 1

Thus, the equation becomes

y = kx

substituting k = 1 in the equation

y = (1)x

y = x

Therefore, an equation that relates x and y is:

y = x

Answer:

The cheetah needs 9 seconds to run 270 meters

Step-by-step explanation:

Proportions

Given the rate of change of the distance traveled by a cheetah is constant, we can predict the time taken to travel any distance.

The cheetah runs 120 for 4 seconds. The rate of change is:

[tex]\frac{120\ m}{4\ s}=30\ m/s[/tex]

This is the cheetah's speed.

To run 270 meters, we divide the distance by the speed to find the time:

[tex]t=\frac{270}{30}=9[/tex]

The cheetah needs 9 seconds to run 270 meters

Answer:

180a-100b= 100c *  50

Step-by-step explanation:

was apart of my unit test goodluck!

Answer:

It is 9√3 and in decimal form it's 15.58845726

Step-by-step explanation:

Answer:

D) No solution

Answer:

the original price is $7.89

the price on sale is $6.44

i hope this helps

Step-by-step explanation:

divide $12.88 by 2 to get the price of one of those comic books on sale which gives you $6.44

if you want the original price you just add $1.45 to $6.44 and then thats the price before the sale.

Answer:

44/48 and 11/120

Step-by-step explanation:

Answer:

they are acute triangles and right triangles

Step-by-step explanation:

Answer:

258 km

Step-by-step explanation:

To find how much he traveled:

(70 hm/hour) * ( 3 hours) = 210 km

so he traveled 210 km but still 48 km away from his home, then we need to add the values.

210 km + 48 km = 258 km

Don't forget to press that "Thanks" button and rate my answer!!!

Answer:

the E is the same as the circles

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Calculation to Find two positive numbers

First step

Let the first positive number be a

Let the second positive number be b

Second step is to create the Equation

a^2+b= 54....... Equation (1)

b = 54-a^2........ Equation (2)

Third step is to find the product

Product= a(54-a)^2 = 54a-a^3

Fourth step is to differentiate

dP/dx = 54-3a^2

dP/dx = 0

Fifth step is to solve for 54-3a^2 = 0

Hence,

3a^2=54

a^2 = 18

Last step

a= √(18)

b= 54-(√(18))^2

b=54-18

b = 36

Therefore the two positive numbers are 36

Answer:

the one on the top right

Step-by-step explanation:

because the difference is the same between them so it has a fixed slope

Answer:

The volume is [tex]10.648 \times10^{-18}[/tex] cm³

The scientific notation [tex]1.0648 \times10^{-17}[/tex] cm³.

Step-by-step explanation:

Consider the provided information.

The side of a cube measures [tex]2.2\times10^{-6}[/tex] cm.

The volume of cube = [tex]s^3[/tex]

Where, s is the side.

The volume of cube: [tex]V=(2.2\times10^{-6})^3[/tex] .

[tex]V=(2.2)^3 \times(10^{-6})^3[/tex]

[tex]V=10.648 \times10^{-18}[/tex]

Hence, the volume is [tex]10.648 \times10^{-18}[/tex] cm³

The scientific notation [tex]1.0648 \times10^{-17}[/tex] cm³.

Answer:

A;£8£(_("!£(£(£(('?_3!£+"('(3(£("('

Answer:

Step-by-step explanation:

Ray b

Is the answer because is if rhe vedicam

Answer: C; 3 4/2

Step-by-step explanation:  A fraction exponent can be represented using a radical. The base number is the number in the radical. The numerator of the fraction is the exponent inside the radical. The denominator is the type of radical.

An exponential always crosses at (0,1) This function crosses at (0.6) meaning it has shifted up 5 units or +5. These means only answer options A and D are possible solutions. Also, since the graph starts high and ends low and leveling out, this means the base is less than 1. Only 3/4 is less than 1. Answer A is the solution.

hope this helps, thank you! :)

Step-by-step explanation:

Increasing linear functions are equations of the form y = mx + c, where m > 0.

Therefore y = -0.5x + 0.5 is not increasing.

We have the following line slopes:

The slopes in increasing order

are 0.5, 0.75, 4/3, 1.5 and 2.5 respectively.

Hence we have the answers for the boxes starting from the bottom-up:

Answer:

 D, F, E, C, A

Answer:

if you put it backward you get the answer

Step-by-step explanation:

Answer: the answer is -1

Step-by-step explanation:

Hopes this helps !!!

Answer:

5

Step-by-step explanation:

ty, have a good day!

Answer: 48 model cars.

Step-by-step explanation:

1. You know that the ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 4:3.

2. Let's call the number of model cars that Jim owns is , therefore, you can solve the exercise as following:

3. Therefore, Jim's owns 48 model cars.

Step-by-step explanation: .

Answer:

(2x - 5) (x + 4)

Step-by-step explanation:

Answer:

Mr.Walters car can go 15 miles on one gallon of gas.

Step-by-step explanation:

To find this, you first want to put it into a ratio.

480:32

Next, you want to divide.

480/32

After you divide, you get 15. That tells you that you get 15 miles off of one gallon of gas.

Answer:

15 miles

Step-by-step explanation:

Answer:

y = -2

Step-by-step explanation:

You substitute 2 as x, y = 6 - 4 * 2, which is y = 6 - 8 = -2.