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cestrela7 [59]
3 years ago
10

If y varies directly as x and y=32 when x=4. find the constant of variation​

Mathematics
2 answers:
ziro4ka [17]3 years ago
8 0
The answer to the equation is 128
Llana [10]3 years ago
7 0

Answer:

k = 8

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 32 when x = 4, then

32 = 4k ( divide both sides by 4 )

8 = k

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What is the image point of (4,−7) after a translation right 4 units and up 5 units?
Liono4ka [1.6K]

Answer:

(8, - 2 )

Step-by-step explanation:

A translation of 4 units right means add 4 to the x- coordinate

A translation of 5 units up means add 5 to the y- coordinate

(x, y ) → (x + 4, y + 5 ) ← translation rule, then

(4, - 7 ) → A'(4 + 4, - 7 + 5 ) → A'(8, - 2 )

5 0
3 years ago
13 is equal to 5 less than the quotient of a number and 10 written as a variable expression.
Bingel [31]
The answer:
13=5-(x÷10)
6 0
3 years ago
Jimmy wants a burger. It is $30 but he has a coupon for 10% off. How much does he spend?
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He spends $27.00 because you multiply the 10% by 30 and subtract the two
4 0
3 years ago
Solve the following liner system.
blondinia [14]
Answer: (6,13)

Work:
- set them equal to each other
2x + 1 = 1/2x + 10

- multiply both sides by 2 to get rid of fraction
4x + 2 = x + 20

- solve for x and you get x = 6

- plug in to solve for y
2(6) + 1 = y
13 = y
3 0
3 years ago
Jessica is on a website that lets her build her own pizza for delivery. She has a budget of $14 (Not including tax or tip) to sp
nexus9112 [7]

Answer:

d. Jessica can have up to 7 toppings on her pizza

Step-by-step explanation:

We know that the inequality that gives us the number of toppings Jessica can put on her pizza is 0.75(t-1)+9.50\leq 14 where t\geq 1, so, to find the number of topics we just need to solve the inequality.

Let's do it step-by-step

Step 1. Subtract 9.50 from both sides of the inequality

0.75(t-1)+9.50-9.50\leq 14-9.50

0.75(t-1)\leq 4.50

Step 2. Distribute 0.75 to the two terms inside the parenthesis

0.75t-0.75\leq 4.50

Step 3. Add 0.75 to both sides of the inequality

0.75t-0.75+0.75\leq 4.50+0.75

0.75t\leq 5.25

Step 4. Divide both sides of the inequality bu 0.75

\frac{0.75t}{0.75} \leq \frac{5.25}{0.75}

t\leq 7

Jessica can put up to 7 topping on her pizza.

We can conclude that the correct answer is d. Jessica can have up to 7 toppings on her pizza

6 0
3 years ago
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