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ELEN [110]
3 years ago
15

Which values are solutions to the inequality below? Check all that apply. √x<12 a.-144 b. 32 c. 100 d. 148 e.144 f. 4

Mathematics
1 answer:
kozerog [31]3 years ago
5 0
The correct answer is e

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An expression 20x + 35y What is the greatest common factor
jekas [21]

Answer:

5

Step-by-step explanation:

20x   = 2  \times 2 \times 5 \times x\\ 35y = 5 \times 7 \times y

<em>G</em><em>CF</em><em> </em><em>=</em><em> </em><em>5</em>

8 0
3 years ago
Solve the inequality r 4-2(r-14)&gt;0
klasskru [66]
R^4-2(r-14)>0
r^4-2r+28>0
r^4-2r+28=0
There is no real solution but there is all real numbers
:)
4 0
3 years ago
Evaluate 5j +12 foreach listed<br> value ofn.<br> j= 4<br> j = 6
Bezzdna [24]

Answer: 32 and 42

Step-by-step explanation:

5j +12

j= 4

j = 6

5(4) + 12

5 times 4 = 20

20 + 12 = 32

5(6) + 12

5 times 6 = 30

30 + 12 = 42

6 0
2 years ago
Read 2 more answers
Math help!! This is really difficult​
Reptile [31]

Answer:

y = -3/2 x +13

Step-by-step explanation:

We want our line to be perpendicular to

y = 2/3 x -1

The slope of this line is 2/3   (since it is written in the form y = mx+b and m is the slope)

Perpendicular lines have negative reciprocal slopes

m = -(3/2)

The slope of our new line is -3/2

We can use point slope form of the equation

y-y1 - m (x-x1)

y - 7 = -3/2 (x-4)

Distribute

y-7 = -3/2x +6

Add 7 to each side

y-7+7 = -3/2 x +6+7

y = -3/2 x +13

4 0
3 years ago
A recommendation for wheelchair ramps is that the rise-to-run ratio be no greater than 1:12. This ensures that the ramps are nav
patriot [66]

Answer:

a. 12 feet b. 12 feet 0.5 inches c. 8.33 %

Step-by-step explanation:

a. How far out horizontally on the ground will it protrude from the building?

Since the rise to run ratio is 1:12 and the building is 12 inches off the ground, let x be the horizontal distance the ramp protrudes.

So, by ratios rise/run = 1/12 = 12/x

1/12 = 12/x

x = 12 × 12

x = 144 inches

Since 12 inches = 1 foot, 144 inches = 144 × 1 inch = 144 × 1 foot/12 inches = 12 feet

b. How long should the ramp be?

The length of the ramp, L is gotten from Pythagoras' theorem since the ramp is a right-angled triangle with sides 12 inches and 144 inches respectively.

So, L = √(12² + 144²)

= √[12² + (12² × 12²)]

= 12√(1 + 144)

= 12√145

= 12 × 12.042

= 144.5 inches

Since 12 inches = 1 foot, 144.5 inches = 144 × 1 inch + 0.5 inches = 144 × 1 foot/12 inches + 0.5 inches = 12 feet 0.5 inches

c. What percent grade is the ramp?

The percentage grade of the ramp = rise/run × 100 %

= 12 inches/144 inches × 100 %

= 1/12 × 100 %

= 0.0833 × 100 %

= 8.33 %

6 0
2 years ago
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