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Answer:

the second one or b. :)

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{10}x + 6[/tex]

500 cups cost $56

Step-by-step explanation:

Given

[tex]x = cups[/tex]

[tex]y = cost[/tex]

[tex](x_1,y_1) = (150,21)[/tex]

[tex](x_2,y_2) = (300,36)[/tex]

Solving (a): Linear Equation

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute right values

[tex]m = \frac{36 - 21}{300- 150}[/tex]

[tex]m = \frac{15}{150}[/tex]

[tex]m = \frac{1}{10}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where

[tex](x_1,y_1) = (150,21)[/tex]

[tex]m = \frac{1}{10}[/tex]

This gives:

[tex]y = \frac{1}{10}(x - 150) + 21[/tex]

Open bracket

[tex]y = \frac{1}{10}x - \frac{1}{10}*150 + 21[/tex]

[tex]y = \frac{1}{10}x - 15 + 21[/tex]

[tex]y = \frac{1}{10}x + 6[/tex]

Solving (b): Cups of coffees for $56

Substitute 56 for y in [tex]y = \frac{1}{10}x + 6[/tex]

[tex]56 = \frac{1}{10}x + 6[/tex]

Subtract 6 from both sides

[tex]-6+56 = \frac{1}{10}x + 6-6[/tex]

[tex]50 = \frac{1}{10}x[/tex]

Multiply both sides by 10

[tex]10 * 50 = \frac{1}{10}x * 10[/tex]

[tex]10 * 50 = x[/tex]

[tex]500 = x[/tex]

[tex]x = 500[/tex]

Hence: 500 cups cost $56

Answer:

Prime number: A prime number has factor of only 1 and itself.

Ex: 3: 1 and 3 are the only ways to compose 3.

A whole number that has factors other than 1 and itself is called a composite number.

Ex: 8: the factors of 8 include 1,2,4,8

Circle 5,7,2,19,3,11

Box 18,20,22,16,15,30,26,38,45,10,21,6,14

To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)

Continute until all of the factors are (im not sure)

Prime factorization is written exponential form (im not quite sure)

30= 2x3x5

30= 2^1 3^1 5^1

24=2 × 2 × 2 × 3

24= 2^3 x 3

sorry idrk if they are all right

The value of {x} is equivalent to 7.

Given are two triangles ΔJTU and ΔJLK.

The triangles ΔJTU and ΔJLK are similar.

We can write the proportional relation as -

{JU/JK} = {JT/JL}

{- 4 + 4x/64} = {27/72}

{- 4 + 4x/64} = 3/8

- 4 + 4x = 24

4x = 28

x = 7

Therefore, the value of {x} is equivalent to 7.

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The value of x is 7.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔJKL and ΔJUT

If T and U are midpoints on JL and JK, then TU is parallel to LK.

Then ∠T=∠L (Corresponding angles)

∠U=∠K (Corresponding angles)

Hence, ΔJKL is similar to ΔJUT

Now, JT/JL = JU/JK = TU/LK

27/72 = -4+4x/64 = 36/96

9/24 = -4+4x/64 = 12/32

3/8 = -4+4x/64 = 3/8

-4+4x/64 = 3/8

-4+4x=24

4x=28

x=7

Therefore, the value of x is 7.

To learn more about the similar triangles visit:

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Answer:

The answer is 35:10

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Add the parts of the ratio to get the whole (7 + 2). Divide the total number of beads and the sum of the ratio to find out how many times you'll multiply (45 ÷ 9). Use the ratio to multiply by 5 (5 • 7) and (5 • 2).

There are 35 black beads and 10 white beads.

So, there are 25 more black beads than white beads.

Answer: 80

Step-by-step explanation:

8 times more than ten is 80

Answer:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Step-by-step explanation:

Answer:

There were 72 kids there.

Step-by-step explanation:

This question can be solved using proportions, by a rule of three.

The number of kids and time are inversely proportional, that is, if we increase the number of kids to build the castle, the time it takes will decrease. This means that to solve the rule of three, instead of applying cross multiplication, we apply line multiplication.

We have that:

30 kids - 6 hours

x kids - 2.5 hours.

Applying line multiplication

[tex]2.5x = 30*6[/tex]

[tex]x = \frac{180}{2.5}[/tex]

[tex]x = 72[/tex]

There were 72 kids there.

Answer:

System A is A System B is B

Step-by-step explanation:

Answer:

puede hacer 26 pisos y le sobran 4 galletas

Answer

TRUE

MARK AS BRAINLIEST

Answer:

Step-by-step explanation:

Again, parentheses would help with clarity. f(x) = (x^2-2x-3)/(x-3)

The denominator is x-3. Division by 0 is undefined, so x ≠ 3.

Answer:

B is not equal to the others

Step-by-step explanation:

Answer:

Step-by-step explanation:

the average rate of change is the same as

the slope of a line m = (y2-y1)/(x2-x1)

to find if is positive of negative look at the line between the years given (for example between 1930 and 1940)

if from left to right the line goes downward the rate of change is negative

if from left to right the line goes upward the rate of change is positive

Answer:

-9

Step-by-step explanation:

-6 Divided By 2/3 = -9

2/3 multiplied by -9 = -6

Your  answer will be z = -6/3 or -9

If its wrong I tried-

Answer:

Step-by-step explanation:

35percent was yonger

Answer:

A

E

F

Step-by-step explanation:

These fractions divided equal repeating decimals.

Hope it helps and is correct!

Answer:

14.333 yards

516 inches

Answer:

3) 43 ft = 14.33 yards and 516 inches.

Step-by-step explanation:

43 ft = ? yards

Divide 43 by 3: 43 ÷ 3 = 14.33 yards

43 ft = ? inches

Multiply 43 by 12: 43 × 12 = 516 inches

Answer:

C. -17, 9

Step-by-step explanation:

u = -9, 4

v = 8, -5

u - v

= (-9, 4) - (8, -5)

= (-9 - 8), (4 - (-5))

= -17, 9

Answer:

Step-by-step explanation:

Answer:

1.0.87

2.87/100

3.25%

4.0.25

5.35%

6.7/20

Step-by-step explanation:

Answer:

800 feet i think but is this the full question

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

But don't believe me this is wrong

Answer:

t = ±10

Step-by-step explanation:

after using the FOIL method you have the following:

490 + 49t - 49t - 4.9t²

middle two terms zero out

h(t)= -4.9t² + 490

if you multiply by -10 you can get perfect squares

h(t) = 49t² - 4900 which has two factors:  (7t + 70)(7t - 70)

now set each factor equal to zero and solve:

7t + 70 = 0                      

7t = -70

t = -10

7t - 70 = 0                      

7t = 70

t = 10

Answer:

Step-by-step explanation:

The null and the alternative hypothesis is:

[tex]H_o: \mu_c \ge \mu_{us}[/tex]

[tex]H_a : \mu_c < \mu_{us}[/tex]

The t- student test statistics can be computed as:

[tex]t = \dfrac{x_c- x_{us}}{\sqrt{\dfrac{\sigma_c^2}{n_c} + \dfrac{\sigma_{us}^2}{n_{us}} }}[/tex]

[tex]t = \dfrac{19- 21}{\sqrt{\dfrac{7^2}{100} + \dfrac{8^2}{130} }}[/tex]

t = -2.017  

degree of freedom = (n₁ - 1) + (n₂ - 1)  

= (100 - 1) + (130 - 1)

= 228

Using the data of t-value and degree of freedom;  

The P-value = -0.224

Decision rule: Do not reject the null hypothesis if the p-value is greater than ∝(0.01)

Conclusion: We reject the null hypothesis since the p-value is less than ∝.

Therefore, there is enough evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United States.

Answer:

24 glasses

Step-by-step explanation:

We are given that

Estelle has juice=6 liters

She pours juice in one glass=0.25 L

We have to find the number of glasses of juice made by her.

Using unitary method

0.25 L juice pour in 1 glass

1 L juice pour in 1/0.25 glasses

6 liters  juice pour in glasses=[tex]\frac{1}{0.25}\times 6[/tex]

6 liters  juice pour in 24 glasses

Hence, she will make 24 glasses of juice.