Mathematics High School

Suppose that y varies directly as the square root of
x, and that y = 16 when x = 4. Find x when
y = 24.

Answers

Answer 1

Answer:

x is 6

Step-by-step explanation:

x is 1/4 of y. so divide 24 by 4 and get 6

Related Questions

what is the factored form of -4/5(30x - 40) + (42x + 4)? ​

Answers

Answer:

18(x + 2)

Step-by-step explanation:

-4/5 ( 30x -  40) + (42x + 4) = -24x + 32 + 42x + 4 = 18x + 36 = 18(x + 2)

Answer:

18x+36

Step-by-step explanation:

1. Simplify  \frac{4}{5}(30x-40)54(30x−40)  to  \frac{4(30x-40)}{5}54(30x−40).

-\frac{4(30x-40)}{5}+42x+4−54(30x−40)+42x+4

2. Factor out the common term 1010.

-\frac{4\times 10(3x-4)}{5}+42x+4−54×10(3x−4)+42x+4

3. Simplify  4\times 10(3x-4)4×10(3x−4)  to  40(3x-4)40(3x−4).

-\frac{40(3x-4)}{5}+42x+4−540(3x−4)+42x+4

4. Simplify  \frac{40(3x-4)}{5}540(3x−4)  to  8(3x-4)8(3x−4).

-8(3x-4)+42x+4−8(3x−4)+42x+4

5. Expand by distributing terms.

-(24x-32)+42x+4−(24x−32)+42x+4

6. Remove parentheses.

-24x+32+42x+4−24x+32+42x+4

7. Collect like terms.

(-24x+42x)+(32+4)(−24x+42x)+(32+4)

8. Simplify.

18x+3618x+36

hope this helps

Triangle ΔGHI with m∠G = 5°, m∠H = 75° and m∠I = 100°, is reflected across the y-axis to obtain ΔKLM. What is the measure, in degrees, of ∠L?

Answers

Answer:

[tex]\angle L = 100^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle G = 5^{\circ}[/tex]

[tex]\angle H = 75^{\circ}[/tex]

[tex]\angle L = 100^{\circ}[/tex]

Required

Determine the measure of L after reflection across x-axis

When a shape is reflected across an axis, only the coordinates of the shapes is affected; the angles remain unaltered.

In other words, the measures of the angle will not change.

Hence:

[tex]\angle L = 100^{\circ}[/tex]

Can someone help please?

Answers

Answer:

Corresponding Angles Theorem

Step-by-step explanation:

Since, the angles are on the same side of the transversal, one interior angle and exterior angle.

Hence, these are corresponding angles .

Write a linear function given the table below. Use function notation.
A. y = 4x + 1
B. y = -4x + 1
C. y = 5x - 1
D. y = 5x + 1

Answers

The answers would be B
The answer would be B

Which system of inequalities has no solution?

Answers

Answer:

i think c

Step-by-step explanation:

The ple chart shows the favourite sports of a group of students,
For each statement below, decide if it is
True (A), False (B) or Impossible to say (C)
Other
Tennis
a) None of the students chose Netball
10
Football
b) More students opted for Football than Tennis,
Rugby
c) Hall of the students did not choose Rugby
(1)

Answers

Answer: the answer would be C

a) c
b) a
c) b

It makes sense... seems like a kindergarten problem

1.-18(12)
2. -352 + -225

Answers

Answer:

1.-204.5 2.-557

Step-by-step explanation:

Select the equivalent expression.
43
5-2
5
=?
Choose 1 answer:
415.510
415
510
Do 5 problems OOOO

Answers

Answer:

45448

Step-by-step explanation:

(4X + 7) X [5(X - 40)]

Answers

Answer:

4X + 7) =[5(X - 4)]{vertically opposite angle}

4x+7=5x-20

5x-4x=7+20

x=27

click the photo and help me please

Answers

Answer:

5^10

Step-by-step explanation:

Hope I helped!

A b and c are positive integers A:B = 3:8 and B:C = is 6:11 What is the smallest possible value of a + b + c

Answers

The smallest possible value of a+b+c is 77

Mark plans to save 2.50 each week until he saves 75.00.He uses this equation to represent the number of weeks

Answers

Answer:

2.5x = 75

Step-by-step explanation:

The middle one. Pls answer I need it for homework

Answers

I did that ima go fine the papers

Write the equation of the line.

Answers

Answer:

y=2x+4

Step-by-step explanation:

First find out the slope, pick out 2 points. For ex. (-2,0) & (0,4)

Slope=4-0/0-(-2)

=4/2

=2

Y-intercept is 4.

Slope-Intercept form: y=mx+b

m is slope & b is y-intercept

y=2x+4

HOPE I helped!

Four friends share 3 bags of trail mix equally.

What fraction of a bag of trail mix does each friend get?

Answers

Answer:3/4

Step-by-step explanation:

3 is the amount of bags that need to be divided and four is the number of friends sharing them

Answer:

3 and remainder 1 (I'm sorry I dont know if your doing remainders

Lena has two coupons for shoes.
Coupon A: 30% off of $63 shoes
Coupon B: S22 rebate on $63 shoes
Choose the coupon that gives the lower price,
Then fill in the blank with the correct value.

Answers

Your answer is A because 30 percent off of $63 is 18 converse to 22 rebate coupons

Helllllpppp meeeee I neeedddd hellllpppp nowwww pleaseeee

Answers

Answer:

C

Step-by-step explanation:

They are all integers so they are rational numbers, they are whole numbers as well except there are negative numbers so they are not all natural.

4/8 is closest to which benchmark fraction

Answers

Answer:

It is closest to 1/2

Step-by-step explanation:

First you need to see if the fraction can be simplified or not. Thankfully this can, and we get 1/2.

When solving the equation, which is the best first step to begin to simplify the equation?
-2(x+3) = -10
02-2)(x+2) = -106-2)
$(-2)(x+ 3) --10-31
o-(x+3) = -10

Answers

Answer:

the answer is (x+3)

Step-by-step explanation:

-_-

WILL GIVE BRAINLIEST!!!
What is the y=mx+b of the equation 5x−4y=12?

Answers

Answer:

y = 5/4x - 3

Step-by-step explanation:

Please help, im confused

Answers

There are 4 bees and 12 ladybugs. So the ratio is

4 : 12

Reduce to lowest term, we get :

1 : 3

16:25 simplified (ratio maths)

Answers

Answer:

its simplifed as much as it can.

Step-by-step explanation:

Answer:

its already simplified the most but as a decimal its 0.64

Step-by-step explanation:

What is the range of possible sizes for side x in triangle side lengths of 8.0 and 4.0?

Answers

Answer:

4<x<12

Step-by-step explanation:

8.0+4.0=12.0

8.0-4.0=4.0 or 4

The rules of triangles is that it must be less than the sum you had when you first added 8.0and 4.0 which was 12

So therefore , 4< x < 12

and I also got it right on khan academy lol

A rectangular garden is 5m longer
than it is wide.
The area of the garden is 600m2
Calculate the width and length of the garden.​

Answers

Answer:

The width of the garden is 22.12 m and its length is 27.12 m

Step-by-step explanation:

Equations

Let x = width of the garden

The length is 5 m longer than the wide, thus:

x + 5 = length of the garden

The area of the rectangular garden is

A=x(x+5)=600

Operating:

[tex]x^2+5x-600=0[/tex]

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Where a=1 b=5 c=-600:

[tex]\displaystyle x=\frac{-5\pm \sqrt{5^2-4(1)(-600)}}{2(1)}[/tex]

Operating:

[tex]\displaystyle x=\frac{-5\pm \sqrt{25+2400}}{2}[/tex]

[tex]\displaystyle x=\frac{-5\pm \sqrt{2425}}{2}[/tex]

There are two solutions:

x = 22.12

x = -27.12

The negative solution is not valid because x is the width of the garden, thus

x = 22.12 m

And

y = 22.12 + 5 = 27.12 m

The width of the garden is 22.12 m and its length is 27.12 m


The population of a city is 150,000 and the annual growth rate is 6.9%. Write an equation to model
the population y after x year

Answers

Answer:

Step-by-step explanation:

[tex]y=150000(1.069)^x[/tex]


Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.

2x-4=3^x+1


A.
x ≈ 3.25
B.
x ≈ 1
C.
x ≈ 2
D.
x ≈ 2.5

Answers

Answer: D. x ≈ 2.5

Step-by-step explanation: I circled the intersection in green in this attachment I provided.

As you can see, it's near 2.5 which is correct.

I really hope this is correct. I answered this one with confidence. Good luck on your test btw.

Answer:

D. x ≈ 2.5

Step-by-step explanation:

Help me with this please

Answers

Answer:

6 hours

Explanation:

Ratio: 1:10

1:10

2:20

3:30

4:40

5:50

?:60

? = 6

Hope this helps!! ♥︎~

A farmer planted corn in a square field. One side of the field measures 31 yards. What is the area of the cornfield?

Answers

Answer:

961 yards²

Step-by-step explanation:

A square has all its sides equal

Thus the area of the square is = length ² = 31² = 961

7. If 2 planes have the same velocity, do they have the same speed? EXPLAIN

Answers

Answer:

Yes.

Step-by-step explanation:

Velocity is the direction and how fast something is going. The two planes having the same velocity means that they are going the same speed and direction.

HELP MEEEEE!
Simplify it- don't like solve it please. And ExPlAiN hOw YoU dId It!

Answers

Answer:

216g³

Step-by-step explanation:

[tex](xy)^n=x^ny^n\\(6g)^3=6^3g^3[/tex]

[tex]6^3=216[/tex]

216g3 is the answer ==}
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