Given that y varies directly with x in the table below, what is the value of y if the value of x is 7?
х
2
4
6
10
60
y
12.
24
36
V
37
42
0 0 0 0
48
54

Answers

Answer 1

Answer:

y = 42

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 an ordered pair from the table.

Using x = 2 when y = 12, then

12 = 2k ( divide both sides by 2 )

6 = k

y = 6x ← equation of variation

When x = 7, then

y = 6 × 7 = 42

Answer 2

Answer:

42

Step-by-step explanation:

just took the quiz and got it right


Related Questions

The algebraic expression 6x - 4 can
be written as which of the
following?
The product of six and a number x
decreased by four
x to the sixth power decreased by four
Six times a number x less than four
four less than six

Answers

Answer:

Six times a number x less than four less than six

The product of six and a number x  decreased by four.

Given that,

The algebraic expression 6x - 4.

Based on the above information, the information is as follows:

Here 6x - 4 should be written like the product of x and the number x should be decreased by four.

Learn more: brainly.com/question/17429689

which of these can be rewritten as an exact answer without the square root symbol? √4 √125 √0.6 √12.35 Thank you :)

Answers

Answer:

[tex]\sqrt{4}[/tex]

Step-by-step explanation:

Because

→ [tex]\sqrt{4}[/tex]  is equal to 2

→ [tex]\sqrt{125}[/tex]  is equal to  [tex]5\sqrt{5}[/tex] or 11.18033989

→ [tex]\sqrt{0.6}[/tex]  is equal to  [tex]\frac{\sqrt{15} }{5}[/tex]  or  0.7745966692

→ [tex]\sqrt{12.35}[/tex]  is equal to 3.514256678

Answer:

√4

Step-by-step explanation:

√4 = 2

The other ones can only be approximated:

√125 = 5√5 ≈ 11.18033

√0.6 ≈ 0.774597

√12.35 ≈ 3.51426

Solve for x.

−6≥10−8x

Enter your answer as an inequality.

Answers

Answer:

x≥2

Step-by-step explanation:

-6≥10-8x

+6      +6

= 0≥16-8x

+8x    +8x

= 8x≥16

/8       /8

= x≥2

Answer:

2≤x

Step-by-step explanation:

−6≥10−8x

Subtract 10 from each side

−6-10≥10-10−8x

−16≥−8x

Divide each side by -8, remembering to flip the inequality

-16/-8 ≤-8x/-8

2 ≤x

PLZ HELP ASAP WILL GUVE BRAINLIEST: Three times the sum of a number and four is 10 less than the same number. What is the number?

Answers

Answer:

6

Step-by-step explanation:

Which function has zeros at x = 3 and x = 7?

Answers

Answer:

f(x)= (x-3)(x-7)

Step-by-step explanation:

f(x) = x2 - 10x + 21

Please help! Read question 5.

Answers


1 centimeter =10 millimeters
10x3=30millimeters
30+47=77 millimeters
Hope that helps :).

What is the following sum in simplest form?
√8 + 3 √2+ √ 32

A. 3 √8+ 3 √2
B. 5 √42
C. 9 √2
D. 5 √2 + √32

Answers

Answer:

C.  9√2.

Step-by-step explanation:

√8 + 3 √2+ √ 32

= √4 *√2 + 3√2 +  √16*√2

= 2√2 + 3√2 + 4√2

= 9√2.

When you give an exact answer for the volume of a cylinder, you will always have ____ in the answer.

Answers

Answer:

Step-by-step explanation:

height

Solve the following system:
y = x + 3
3x + y = 19
O (7,4)
O(-4,7)
O (4,7)
O (4.-7)

Answers

Answer:

(4, 7) (third answer choice)

Step-by-step explanation:

In the system

y = x + 3

3x + y = 19

the first equation already gives y in terms of x.  Thus we can substitute x + 3 for y in the second equation:

3x + (x + 3) = 19, which simplifies to:

4x = 16, yielding x = 4.  Substituting 4 for x in the first equation, we get:

y = (4) + 3 = 7.

Thus, the solution is (4, 7) (third answer choice).

Solve for y: 3y + 6 = -45

Answers

Answer:

Step-by-step explanation:

solution :

       y = -17

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*y+6-(-45)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  3y + 51  =   3 • (y + 17)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    y+17 = 0

Subtract  17  from both sides of the equation :

                     y = -17

    solution was found :

                  y = -17

There are 42 citizens called for jury duty. Eleven are randomly chosen to for the interview phase. How many different ways can the group of interviewees be made?

Answers

The quick way to get the answer is just type "42 choose 11" into Google.

Or if you want to figure it out yourself, you have 42 choices for the first potential juror, 41 choices for the second potential juror, etc.

Now before you stop there, you only care about the combination of the 11 people chosen, not what order they are selected, so you need to divide by the ways to arrange 11 people.

Final expression:

C(42,11) = (42 * 41 * 40 * 39 * 38 * 37 * 36 * 35 * 34 * 33 * 32) / (11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)

Answers:

4,280,561,376 ways

Answer:

42,11

Step-by-step explanation:

A. 5pi/6
B. 8pi/6
C. 3pi/6
D. 13pi/6

Answers

Answer:

Step-by-step explanation:

Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the x-intercept.

State the Domain and Range for this equation in the context of the problem scenario?

Answers

Answer:

x-intercept:   x=24

DOMAIN: (0,24) where x∈Natural Numbers

RANGE: (0,12) where y∈Natural Numbers

Step-by-step explanation:

Remain money = y

Number of games = x

Given function:

[tex]y=12-0.5x\\[/tex]

x-intercept:

x-intecept is the value of x where y becomes zero.

Substitute y=0 in the given equation:

[tex]0=12-0.5x\\0.5x=12\\x=\frac{12}{0.5}\\x=24[/tex]

Domain:

Domain is a set of all possible values of x.

x= No. of games (So x cannot be negative)

y= Remain Amount (So y cannot be negative)

So the minimum value of x is 0 because x cannot be negative.

Maximum value of x is the value for which y doesn't become negative. For any value of x>24, y <0 which is not possible.

So maximum value of x is 24

DOMAIN: (0,24) where x∈Natural Numbers

Range:

Range is a set of all outcomes of y for all possible values of x.

For x=0 , y =12

for x=24 , y = 0

So

RANGE: (0,12) where y∈Natural Numbers


Use Cavalieri’s principle to compare the volume of the cone and triangular pyramid.

A) cone has a larger volume
B) triangular prism has a larger volume
C) triangular prism has one-third the volume
D) cone and triangular prism have equal volumes

Answers

Answer:

D

Step-by-step explanation:

What angle measure is complementary to a 65 angle?

Answers

Answer:

x = 25

Step-by-step explanation:

Complementary angles add to 90 degrees

x+65 = 90

Subtract 65 from each side

x = 90-65

x = 25

The Definition of Complementary Angles states that if two angles are

complementary, then the sum of their measures is 90°.

To find the complement of an angle, we take 90 degrees minus the

measure of the angle which in this case 90° - 65° or 25°.

So the complement of the 65° angle measures 25°.

Pls solve for x hurry !

Answers

Answer:

7

Step-by-step explanation:

7x + 68 = 2x + 103

Subtract 2x from each side

5x + 68 = 103

Subtract 68 from each side

5x = 35

divide 5 from 35 and you get X = 7

The interior angles of triangle ABC measure 34°, 63°, and xº. The Interior angles of
triangle DEF measure yº, 63°, and 83º.
Which statement is true?
The triangles are similar because y=34 and there are three pairs of congruent
angles.
The triangles are similar because they each have an interior angles that
measures 63º.
The triangles are not similar because x does not equal y.
The triangles are not similar because y does not equal 34º.

Answers

Answer:

the triangles are similar because y=34 and there are three pairs of congruent angles

Step-by-step explanation:

this is correct because all of the angles in a triangle add up to 180, so if y = 34 then 34 + 63 + 83 = 180

this also means x is equal to 83  which means both triangles share all of the same angle measures

Lines a and b are parallel. If the slope of line a is 3 , what is the slope of line b?

A. -3
B. -1/3
C. 1/3
D. 3

Answers

Answer:

D.

Step-by-step explanation:

They are parallel and therefore has the same slope.

a because if they are parallel one is negative one is positive

For f(x)=4x+1 and g(x)=x^2-5 , find (fg) (x) .

A.4x^3+x^2-20x-5
B.4x^3+x^2-5x-5
C.4x^3+x^2-4x-6
D.4x^2-19

Answers

Answer:

the answer is B.

4x^3+x^2-5x-5

Step-by-step explanation:

the answer is B. 4x^3+x^2-5x-5

find the answer to the following

k(−1)= ?

Answers

Your answer would be 1 because you add the two then Divid

pls help show ALL work

Answers

Answer:

B. 5.81

Step-by-step explanation:

So to get this answer, you'd first find how much square inches are on the cheese. We know its 9/10 of the pizza and the pizza is 215 square inches. To find out what is 9/10 of the pizza you'd multiply 215 by 9 then divide by 10. That'd leave you with 193.5 then you multiply that by the cost $0.03 then get 5.805 which rounds up to 5.81.

Find the measurement of y

A-129°
B-130°
C-145°
D-134°

Answers

Answer:  C

Step-by-step explanation: Since the angle measures of a heptagon measure up to 900, add all known angle measures. they equal to 755. 900 - 755 is 145.

help please i did a problem like this and got it wrong i honestly think im confusing the closed and open dots. can some one just please help​

Answers

Answer:

It should be a "closed" dot facing the left side (towards the negative numbers)

Step-by-step explanation:

The graph will be a line segment with endpoints -1 and 1. Both endpoints are closed dots. This is to indicate we include the endpoints as part of the solution set. Everything between the endpoints is shaded in.  

The answer in interval notation is [-1, 1]. The square brackets tell the reader to include the endpoints. This describes the interval from -1 to 1, inclusive of the endpoints.

How do we know to include the endpoints or not? By looking at the "or equal to" portion. If that is present, then we include the endpoint; otherwise, we exclude.

The original inequality [tex]|x| \le 1[/tex] is the same as [tex]-1 \le x \le 1[/tex]

The general rule is [tex]|x| \le k[/tex] turns into [tex]-k \le x \le k[/tex] for some positive number k.

plz help ASAP will give brainliest!!!

Answers

Answer:

Step-by-step explanation:

5.25x +6 =74.25

5.25x = 74.25 -6

5.25x =68.25

x = 68.25÷5.25

x = 13

Answer:

x=13

Step-by-step explanation:

1) Subtract 6 from both sides.

2) Divide by 5.25 on both sides to get x on its own.

[tex]5.25x+6=74.25\\5.25x+6-6=74.25-6\\5.25x=68.25\\\frac{5.25x}{5.25} = \frac{68.25}{5.25} \\x=13[/tex]

What is the value of y?

Answers

Answer: ∠JKM = 106\textdegree and

∠JKM = 74\textdegree

Step-By-Step-Explanation

Since we have given that

∠JKM=10y+6

∠MKL=8y-6

Since they are linear pairs ,

So,

∠JKM =

and

∠MKL =

Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?

Answers

Answer: y=1/2x-4

Step-by-step explanation:

Since we are given the slope, we can use the slope-intercept form to find the y-intercept.

y=1/2x+b

-3=1/2(2)+b

-3=1+b

b=-4

Now that we know our y-intercept, we can fill in our slope-intercept equation.

y=1/2x-4

Answer:

a

Step-by-step explanation:


Convert 36 inches to feet. There are 12 inches in a foot.

Answers

Answer:

3 feet

Step-by-step explanation:

3 feet

Step by Step Explanation:
Since there are 12 inches in a foot you would divide 36 by 12 to get 3ft

Evaluate 6 - 2(-1) + | -5 |

Answers

Answer:

13

Step-by-step explanation:

6 - 2(-1) + | -5 |

The absolute value means take the non-negative value

6 - 2(-1) + 5

Multiply

6 +2 + 5

Add

8+5

13

In the diagram below of circle o, chords AB and CD intersect at E.
If CE = 10, ED = 6, and AE = 4, what is the length of EB?


AWARDING MAX POINTS

Answers

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding)

We can see in the diagram the chord AB and chord CD intersect each other at point E.

Each of the chord is divided into two segments.

According to the Intersecting Chords Theorem:

Products of the lengths of line segments on each chord are equal

Which means that

(AE)(EB) = (CE)(ED)

Substitute the given values;

(4)(EB) = (10)(6)

4(EB) = 60

EB = 15

Answer:

The length of EB is found 15

Step-by-step explanation:

As the diagram of the circle is not given in the question, I've found the diagram of the same question from internet and attached below. So that we can have a better understanding) We can see in the diagram the chord AB and chord CD intersect each other at point E. Each of the chord is divided into two segments. According to the Intersecting Chords Theorem: Products of the lengths of line segments on each chord are equal Which means that (AE)(EB) = (CE)(ED) Substitute the given values; (4)(EB) = (10)(6) 4(EB) = 60 EB = 15

Kevin practices kicks for soccer he kicks 13 times at recess .he kicks 14 times after school. Then ke kicks 16 times before bes.how many practice kicks did kevin take in all

Answers

Answer:

43

Step-by-step explanation:

13+14+16=43

Answer:

43

Step-by-step explanation:

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