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4 years ago

Which expression is equal to 7(1+3)

Mathematics

2 answers:

Mice21 [21]4 years ago

8 0

I would say D. 7+4 because it is the only one that makes since to me

True [87]4 years ago

5 0

The answer is actually a.) 7+21 because when you distribute the 7 to 1+3, that's what it equals

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A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0). What is the equation of the directrix? x=−4 y=−

rewona [7]

Answer:

Step-by-step explanation:

The vertex and focus are horizon aligned, so the parabola is horizontal and the directrix is a vertical line.

The vertex is halfway between focus and directrix. Directrix: x = -4

7 0

3 years ago

Read 2 more answers

A man invest 5,200,part at 4% and the balance at 3%. If his total income for the two investments is $194,how much money did he i

Fed [463]

Let the amount invested at 4% be = x

Let the amount invested at 3% be = y

Given is:

$x+y=5200$ or $x=5200-y$ .... (1)

As, total income for the two investments is $194, so equation is:

$0.04x+0.03y=194$ ....(2)

Putting value of x from (1) in (2)

$0.04(5200-y)+0.03y=194$

$208-0.04y+0.03y=194$

$0.01y=14$

$y=1400$

And x=5200-y

$x=5200-1400=3800$

Hence, money invested at 4% is $3800 and money invested at 3% is $1400

6 0

3 years ago

Helllppp porfavor:,)

tatuchka [14]

Answer:

1. x = 67.5

2. x = 2.5

3. x = 35.2

4. x = 2.0

5. x = 17.0

Step-by-step explanation:

Question 1

The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:

2x/9 = 15

2x = 9(15)

Next solve for x:

2x = 135

x = 67.5

Question 2

The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:

20x/8.7 = 5.8

20x = 8.7(5.8)

Next, solve for x:

20x = 50.46

x = 2.523

Round to the nearest tenth:

x = 2.5

Question 3

The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:

5x/16 = 11

5x = 11(16)

Next, solve for x:

5x = 176

x = 35.2

Question 4

The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:

0.5x/0.06 = 17

0.5x = 17(0.06)

Next, solve for x:

0.5x = 1.02

x = 2.04

Round to the nearest tenth:

x = 2.0

Question 5

The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:

29(44)/x = 75

29(44) = 75x

Next, solve for x:

1276 = 75x

x = 17.0133

Round to the nearest tenth:

x = 17.0

7 0

3 years ago

A stone is thrown vertically upward from a platform that is 20 feet height at a rate of 160 ft/sec. Use the quadratic function h

Nutka1998 [239]

Check the picture below.

$\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-16}x^2\stackrel{\stackrel{b}{\downarrow }}{+160}x\stackrel{\stackrel{c}{\downarrow }}{+20} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\left(-\cfrac{ 160}{2(-16)}~~~~ ,~~~~ 20-\cfrac{ (160)^2}{4(-16)}\right) \implies \left( - \cfrac{ 160 }{ -32 }~~,~~20 - \cfrac{ 25600 }{ -64 } \right) \\\\\\ \left( 5 ~~~~ ,~~~~ 20 +400 \right)\implies (\stackrel{seconds}{5}~~,~~\stackrel{feet}{420})$

6 0

1 year ago

Lauren drove her car 20 miles on 10 gallons and gasolin. At this rate, how many gallons qill she use on a 1,200 mile trip?

ser-zykov [4K]

Answer:

600 gallons

Step-by-step explanation:

10÷20=0.5

0.5 x 1,200=600 gallons

3 0

2 years ago