7(x-3)=28
What is the value of x?
O 7
09
0 42
0 56

Answer:

32

Step-by-step explanation:

3+4 = 7, 56/7 = 8, 8 * 4 = 32

Answer:

[tex]\huge\boxed{\sf 32\ m\&ms}[/tex]

Step-by-step explanation:

Red m&ms = 3x

Blue m&ms = 4x

Condition given:

3x + 4x = 56 (x being the unknown)

7x = 56

Divide 7 to both sides

x = 56 / 7

x = 8

So,

Blue m&ms = 4 (8) = 32 m&ms

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

No

Step-by-step explanation:

This is because the definition of absolute value is the number of units or points from zero on a number line. The regular answer of 3-7 would be -4. But the absolute value of -4 is 4 because it is just regularly 4 digits away from zero on a number line. Make sense?

There - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

As per the given question,

There - 4 is not the absolute value of 3 - 7,

This is because the definition of absolute value is the number of units or points from zero on a number line. The standard response of 3-7 would be -4. However, the absolute value of -4 is 4 since it is 4 digits away from zero on a number line.

Thus, there - 4 is not the absolute value of 3 - 7 because it is 4 units away from 0.

Learn more about the absolute value here:

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Answer:

Step-by-step explanation:

cost price x .60 = 80

80/.60 = 133.33 was the cost price

Answer:

P,R,Q i think

Step-by-step explanation:

Answer:

8.795

Step-by-step explanation:

Answer:

LFGA is a rectangle

B) yes they are

Since lf=ag

LFE=AGT

AT=LE

SO THEY ARE CONGRUENT HAVING 2 EQUAL SIDES AND ONE RIGHT ANGLE

C) ef =gt

(U have to prove them before)

D) LF is equal to AG

Since in a rectangle the h times base

Answer:

Approximately 38 cube inches of wax.

Step-by-step explanation:

The candle can be assumed to have the shape of a cylinder, so that;

volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

where: r is the radius and h the height of the cylinder.

Thus,

volume of each candle =  [tex]\pi[/tex][tex]r^{2}[/tex]h

But radius is 1 inch and height is 4 inches, then;

volume of each candle = [tex]\frac{22}{7}[/tex] x [tex]1^{2}[/tex] x 4

                                      = [tex]\frac{22}{7}[/tex] x 1 x 4

                                      = 12.5714

volume of each candle = 12.6 cube inches.

Therefore, for the three candles;

volume of the three candles = 3 x 12.5714

                                                = 37.7142

volume of the three candles = 37.7142 cube inches

The amount of wax required for the three candles is approximately 38 cube inches.

Answer:

What is it?

Step-by-step explanation:

Answer:

6 to 4

Step-by-step explanation:

The amount of water is 6 and the amount of flour is 4 therefor there is 6 to 4 cups of water.

Answer:

$71, 250

Step-by-step explanation:

Given that:

Fixed salary of Lenny = $40,000

Commission on the cars sold by Lenny = 1.25%

Cost of each Lexus car = $50,000

Total worth of which cars are sold by Lenny = $2,500,000

To find:

Lenny's total income after a year?

Solution:

Lenny's salary consists of two parts i.e. Fixed salary and the variable part as per the commission depending upon the sales done by Lenny.

Fixed salary = $40,000

Commission earned = 1.25% of $2,500,000

[tex]\Rightarrow \dfrac{1.25}{100}\times 2500000\\\Rightarrow \$31,250[/tex]

Therefore, Lenny's total salary after a year = $40,000 + $31,250 = $71, 250

Answer:

80 miles in 4 hours

Step-by-step explanation:

fx = 20x-80

20x=80

20x/20=80/20

x = 4

Answer:

f^-1(x) =x^3/2-3/2

Step-by-step explanation:

to find the inverse, interchange the variables and slove for y

3rd choice is answer

Step-by-step explanation:

Answer:

y= 7/2-5x/2

Step-by-step explanation:

5x+2y=7

2y=7-5x

y= 7/2-5x/2

Answer:

I think it's 7r-14

Step-by-step explanation:

It says "eliminate redundant parentheses"

Then "subtract the numbers"

And then the solution should be what I put as the answer

Answer:

5(7r - 2) - 12 = 35r - 22

Step-by-step explanation:

First you want to do the mailman (it's what I called it in school) so take 5*7r which is 35r and do 5*(-)2 which is -10. So far the equation looks like this:

35r - 10 - 12

So now you subtract -10 from -12 and since they are both negative numbers it will be -22. So it's 35r - 22

5(7r - 2) - 12

35r - 10 - 12

35r - 22

I hope this helped!!

Answer: 20 L = 16£

Step-by-step explanation:

12£ : 15 = 0.8p per L

0.8p x 20 L = 16£

Answer:

A

Step-by-step explanation:

[tex]\frac{2 \frac{1}{2} }{\frac{2}{5} } = \frac{2\frac{1}{2} }{2} times 5[/tex]

1 1/4 × 5 = 6 1/4

Answer:

This graph is an exponential graph, and can model the spread of CO V ID-19

Step-by-step explanation:

This graph increases exponentially, and can be used to model the spread of COVI D 1 9. Co vid  started slowly, but ramped up. Another mathematical equation it can describe is y=x^3

Answer:

C. 6

Step-by-step explanation:

7n = 42

n = 6

hope this helps

Answer:

Step-by-step explanation:

Given

Solving for n

Correct option is C. 6

Answer:

24 grams are not water 100 - 76 = 24

Answer:

1/25

Step-by-step explanation:

1/25 is simplified, as 1 and 25 have no common factors.

(Unless you're saying 1/5 * 1/5?)

Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04

To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).

Do the factorization of numerator and denominator

1 can be written as [tex]1\times1[/tex]

And 25 can be written as [tex]1\times5\times 5[/tex].

After factorization, we see that 1 is the greatest factor, which is common in both.

Divide the numerator and denominator by their greatest common divisor (1).

[tex]\dfrac{1 \div 1}{25\div1}[/tex]

[tex]=\dfrac{1}{25}[/tex]

Hence, 1/25 can not be further simplified.

Learn more about fractions here:

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Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.[tex]\overline 6[/tex]

Given that 6.[tex]\overline 6[/tex] > 0, we have;

At the maximum volume, the width of the block, w = 6.[tex]\overline 6[/tex] cm ≈ 6.7 cm

The maximum volume, [tex]V_{max}[/tex], is therefore given when w = 6.[tex]\overline 6[/tex] cm = 20/3 cm  as follows;

V = 10·w² - w³

[tex]V_{max}[/tex] = 10·(20/3)² - (20/3)³ = 4000/27 = 148.[tex]\overline {148}[/tex]

The maximum volume, [tex]V_{max}[/tex] = 148.[tex]\overline {148}[/tex] cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

Answer:

i think its 3x-8 not sure

Answer:

−3.632 > −3.792

|−3.632| < |−3.792|

Step-by-step explanation:

Given :

−3.632 −3.792 |−3.632| |−3.792|

First comparison :

−3.632 −3.792

Using the knowledge of number line :

- 3.792 occurs farther to the left of a number line than - 3.632, and numbers which occurs farther to the left are lesser. Therefore,

−3.632 > −3.792

2.)

|−3.632| |−3.792|

The presence of the absolute value symbol annuls the negative sign in the digit given. Hence, we can view both numbers as being positive values as ; 3.632 3.792

Numbers further to the right of a number line are greater and 3.792 occurs farther to the right than 3.632.

Hence,

|−3.632| < |−3.792|

Answer:

ok? what am i supposed to do

Step-by-step explanation:

Answer:

The answers are 2, 6, 10, 2.

Step-by-step explanation:

Answer:

the part of math sentence whose value is always the same, represented by a numeral. Coefficient: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression.