An expression is shown below if this expression is equivalent to 60, what must be the value of a? A.) 3 B.) 4 C.) 9 D.)16

An Expression Is Shown Below If This Expression Is Equivalent To 60, What Must Be The Value Of A? A.)

Answers

Answer 1

Answer:

Option (A)

Step-by-step explanation:

Given expression is,

[tex]5\sqrt{48a}=60[/tex]

Squaring on both the sides of the equation,

[tex](5\sqrt{48a})^2=(60)^2[/tex]

25(48a) = 3600

1200a = 3600

By dividing the equation by 1200,

a = [tex]\frac{3600}{1200}[/tex]

a = 3

Therefore, Option (A) will be the answer.


Related Questions

A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint

Answers

Answer:

A certain shade of pink us created by adding 3 cups of red paint to 7 cups of white paint

Step-by-step explanation:

Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.

To make color pink,

for every 3 cups of red , we need 7 cups of white.

Let 'r' be the cups of red required

let 'w' be the cups of white required

so , as per the question

for 3 r we need = 7 w

r = 7/3 w

so, 7/3 is constant of proportionality

Based on the graph, which set shows the solution to log(2x+7)>-2/3x+2?

Answers

Answer:

D or [1.5, ∞)

Step-by-step explanation:

Got it right on edgenuity

Can you help me solve this

Answers

       

Step-by-step explanation:

Circle YES or NO The terms -5x and 5x are like terms. PLEASE I NEED IT REALLY QUICK

Answers

Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Because -5x and 5x both have the same things in it (a full base number and variable), they are like terms. It doesn't matter that one is a negative and the other is not. It's just matters that everything else is the same.

I hope this helps!

Circle YES or NO The terms 15and 9are like terms.

Circle YES or NO The terms -10xy and 9x are like terms.

Answers

Answer:

yes, and no

Step-by-step explanation:

Answer:

YES

NO

Step-by-step explanation:

15 and 9 are like terms because they can be simplified together. 15+9, 15-9, 15*9 can all be simplified further.

-10xy and 9x are not like terms because they cannot be simplified without the variables first being defined.

I need help and it due today someone help meee

Answers

Alright so 1 cup feeds 3 people each, since the pattern is multiplying by 3 to get to the second number.

For a, multiply 10 by 3, which gives you 30. This will serve 30 people.

For b, divide 45 by 3, which gives you 15, meaning 15 cups of rice will feed 45 people.

Hope this helps!!

If f(x) = 4x +4, g(x) = – 2x2 - 4x + 5, and h(x)= - 8x2 + 7, find g(1).

Answers

Answer:

-1

Step-by-step explanation:

g(1) = -2*1^2 - 4*1 + 5


Find the difference of 6/7 minus 1/14

Answers

Answer:

11/14

Step-by-step explanation:

Answer:

11/14

Step-by-step explanation:

Convert to common denominator then subtract the numerator


What is an equation of the line that passes through the points (1, 2) and (2, -1)?

Answers

Answer: m = -3

............................

Help quick
(7u2+21u)÷(u+3)

Answers

Answer: it should be 11.infinite 6

Step-by-step explanation:7x2=14+21=35

35/3 = 11.infinite 6

So basically 11.6

Find Sin x and Tan x if Cos x=2/3 and Cot x >0. Evaluate without using calculator.​

Answers

[tex]\sqrt5[/tex]Answer:

Sin^2 x + Cos^2 x = 1

Sin^2 x = 1 - 4 / 9 = 5 / 9

Sin x = [tex]\sqrt5[/tex]  / 3

Tan x = Sin x / Cos x = ([tex]\sqrt5[/tex]  / 3) /  (2 / 3) =  [tex]\sqrt5[/tex]  / 2

Someone please help!! Solve for X, Y, and Z!

Answers

Answer:

Y= 43, x=137, z=137 total is 360

what is the rule for that​

Answers

Answer:

The constant rule being followed is that the sum of x and y in every case is 5

Since the sum of x and y is 5, we can say that the value of y is 5-x

So we can define a function for this rule:

f(x) = 5 - x

Answer:

y = -x + 5

Step-by-step explanation:

From the table we see that:

1. It is linear relationship as the difference in values change in linear increment2. Rate of change is - 1 as y-values drop by 1 unit3. y-intercept is 5 as per the first row (0, 5)

Considering the above observations we can put equation:

y = - x + 5

Compare 167.4 and 167.462.

Answers

Answer: <

Step-by-step explanation:

167.4=167.40 so 167.462 is greater. It’s correct. Trust me.

Image attached below. Please help.

Answers

Answer:

T,F,T,F,T

Step-by-step explanation:

1. It crosses it there becuase 4(0)-15=-15 for y

2: both top and middle answers are -23, so continuous

3: it increases over that period because the exponent keeps getting bigger

4: No, its not decreasing because -12 plugged in is far less than -23 when -2 is plugged in, meaning its increasing

5: There is no number that would cause an imaginary number or make you divide by zero, meaning all real numbers are fine.

The ratio of the number of men to the number of women in a sports club is 5:2.
After 63 men and 12 women quit the club, the ratio of the number of men to the number of women became 7:4.
How many members did the club have in the beginning?

Answers

Let the number of men and the number of women in the beginning be x and y

Now,[tex]\sf \frac{x} {y} =\frac{5}{2} \\\\\sf

=2x=5y \\\\\sf

=x=\frac{5y}{2}[/tex]

Now, In 2nd case,

No. Of men=x-63 and no. Of women =y-12

Now,the ratio becomes[tex] \frac{x-63}{y-12}=\frac{7}{4} \\\\\sf

=4(x-63)=7(y-12) \\\\\sf

=4x-252=7y-84 \\\\\sf

Putting,\:x=\frac{5y}{2}\:in\: 4x-252=7y-84\:we\: get, \\\\\sf

10y-252=7y-84 \\\\\sf

=10y-7y=252-84 \\\\\sf

=3y=168 \\\\\sf

=y=56 \\\\\sf

=\boxed{Y=56}

[/tex]

Now,we have, 2x=5y

Putting the value of Y=56 in 2x=5y,we get,

[tex]\sf 2x=5\:x\:56 \\\\\sf

x=\frac{5\:x\:56}{2} \\\\\sf

x=\frac{5\:x\: \cancel{56}\:\:28}{ \cancel{2}} \\\\\sf

=x=5\: x\: 28 \\\\\sf

x=140 \\\\\sf

\boxed{x=140}

[/tex]

Hence, the number of men was 140 and the no. of women was 56

Hi...I am from India.. Where are you from?

−6.5(n−5)=18.2 what is the value of n?

Answers

Answer: The value of n is 2.2

Step-by-step explanation:

The difference between the areas of the figures is less than 4.

An absolute value inequality that represents this situation is ___

The solution of the inequality is ___

Answers

Answer:

1. |40 – 4x| < 4

2. 9 < x < 11

Step-by-step explanation:

We'll begin by calculating the area of each figure. This can be obtained as follow:

For triangle:

Area = ½ × base × height

Base = 8

Height = 6

Area =?

Area = ½ × 8 × 6

Area = 4 × 6

Area = 24

For Rectangle:

Area = length × breadth

Length = x – 4

Breadth = 4

Area =?

Area = (x – 4) × 4

Area = 4x – 16

Summary:

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

1. Writing an absolute value for the inequality.

From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:

Aₜ – Aᵣ < 4

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

24 – (4x – 16) < 4

Simplify

24 – (4x – 16) < 4

Clear bracket

24 – 4x + 16 < 4

24 + 16 – 4x < 4

40 – 4x < 4

Thus, we can write the absolute value for the above inequality as:

|40 – 4x| < 4

2. Determination of the solution of the inequality.

This is illustrated below:

|40 – 4x| < 4

Thus the above equation can be written as

– 4 < 40 – 4x < 4

Subtract 40 from both side

– 4 – 40 < 40 – 4x – 40 < 4 –40

– 44 < – 4x < – 36

Divide through by –4

– 44/–4 < x < – 36/–4

11 > x > 9

Note: the inequality sign changed because we divided by a negative number

Thus, 11 > x > 9 becomes 9 < x < 11

Therefore, the solution to the inequality is 9 < x < 11

Is Triangle B a rotation of Triangle A?

Explain How u know

Answers

Answer:

No, triangle B is a reflection of triangle A.

Step-by-step explanation:

The points of triangle A are reflected across the dotted line. So as a result triangle B is a reflection of triangle A.

Answer:

No

Step-by-step explanation:

Its a reflection because even if you did rotate it it would never be in that orientation.

Please help with is !!!!!!!!

Answers

Answer is X=16. Y=16

The gift box is 10 cm x 12 cm x 3 cm what is the volume of the box

Answers

Answer:

volume  = L*B*H

Step-by-step explanation:

SO,

Volume of the box = L*B*H

OR, Volume of the box = 10*12*3

thus, Volume of the box =360

PLEASE HELP, WILL GIVE BRAINLIEST! Which descriptions can describe more than one triangle? Select two options.
side lengths of 6 ft, 8 ft, and 10 ft
angle measurements of 35 degrees, 35 degrees, and 110 degrees
angle measurements of 30 degrees, 40 degrees, and 50 degrees
angle measurements of 40 degrees, 60 degrees, and 80 degrees
side lengths of 4 cm, 6 cm, and 9 cm

Answers

Answer:

B and D

Step-by-step explanation:

i got it right :D

4617 divided by 23 as a mixed number

Answers

Answer: 200 17/23


Explanation: I hope this helps!!!!

Answer:

200 17/23

Step-by-step explanation:

Mathxway.....

for the inequality Y

Answers

Step-by-step explanation:

Ur qsn is so confusing can you plz rewrite it

Simplify the algebraic expression by combining like (or similar) terms.
-7x - 8y- 5x - 6y

Answers

Answer:

-12x - 14y

Step-by-step explanation:

First I would move them side by side so I can see it better so:

-7x - 5x - 8y - 6y

now combine the x values together and the y values together:

-12x - 14y

-7x-8x-5x-6y
= -20x-6y
Is your answer
Plz make it a brainliest answer

The opposite of an integer is always negative.

Answers

Answer:

False

Step-by-step explanation:

To find the opposite of an integer, we just change its sign. If it is negative, change to positive. If it is positive change to negative. Opposite integers are the pairs of integers that have the same absolute value, or the same distance from zero. The sum of two opposites is always zero.

Hope this helps :)

True or False: 0/2=2/0

Answers

Answer:

it's true 0 divided by 2 is 0 and 2 divided by 0 is still 0

Your answer would be true
Have a good day !

Rewrite 38/7 as a mixed number. 5 3/7 3 8/7 3 7/8 5 4/7

Answers

Answer:

5 3/7

Step-by-step explanation:

Answer:

let's see what to do

Step-by-step explanation:

[tex] \frac{38}{7} = \frac{35 + 3}{7} = \frac{35}{7} + \frac{3}{7} = 5 + \frac{3}{7} \\ [/tex]

End....

thanks for watching ♥️♥️♥️♥️♥️.


At the beginning of July, Kim had a mass of 63 kg.
At the end of July, his mass was 61 kg.
Calculate the percentage loss in Kim's mass.​

Answers

Answer:

2%

Step-by-step explanation:

Jessica, Kareem, and Lamar served a total of 64 orders Monday at the school cafeteria. Jessica served 8 fewer orders than Lamar. Kareem served 2 times as
many orders as Lamar. How many orders did they each serve?

Answers

Answer:

Jessica: 10 orders

Lamar: 18 orders

Kareem: 36 orders

Step-by-step explanation:

Let's first designate each person with a letter.

The number of orders served by Jessica can be designated as [tex]J[/tex]

The number of orders served by Kareem can be designated as [tex]K[/tex]

The number of orders served by Lamar can be designated as [tex]L[/tex]

We know that they all served a total of 64 orders. This can be expressed as the sum of their orders equaling 64.

[tex]J+K+L=64[/tex]

We also know that Jessica served 8 fewer orders than Lamar. This can be expressed as the number of orders served by Jessica, [tex]J[/tex], being equal to Lamar's orders [tex]L[/tex] minus 8.

[tex]J = L-8[/tex]

Fianlly, we know that Kareem served twice as many orders as Lamar. This can be expressed as the number of order's served by Kareem, [tex]K[/tex], being 2 times Lamar's orders [tex]L[/tex].

[tex]K = 2L[/tex]

With these 2 equalities, we can substitute [tex]J[/tex] and [tex]K[/tex] in our original equation,

[tex]J+K+L=64[/tex]

with their values expressed as a subtraction or multiplication of [tex]L[/tex].

[tex]J[/tex] will be substituted with [tex]L-8[/tex], and [tex]K[/tex] will be substituted with [tex]2L[/tex].

[tex]J+K+L=64[/tex]

With substitutions:

[tex](L-8) + 2L + L = 64[/tex]

We can simplify this by combining the L-terms:

[tex]L + 2L + L -8 = 64\\4L - 8 = 64[/tex]

Next, we'll add 8 to both sides.

[tex]4L = 72[/tex]

Divide both sides by 4:

[tex]L = 18[/tex]

Thus, Lamar served 18 orders.

Using our expressions, we can find how many orders the others served.

Jessica:

[tex]J = L-8\\J = 18 -8\\J = 10[/tex]

Jessica served 10 orders.

Kareem:

[tex]K = 2L\\K = 2*18\\K = 36[/tex]

Kareem served 36 orders.

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