Marilyn grade on her math test teacher was 24/60. What was her percentage?

Answer:

x = 6 cm

Step-by-step explanation:

Volume of a rectangular prism = length × width × height

Length = 5 cm

Width = (x + 12) cm

Height = (x + 6) cm

Volume of a rectangular prism = 1,080 cubic centimeter

Volume of a rectangular prism = length × width × height

1080 = 5 * (x+12) * (x+6)

1080 = 5 (x^2 + 6x + 12x + 72

1080 = 5 (x^2 + 18x + 72)

1080 = 5x^2 + 90x + 360

Divide through by 5

216 = x^2 + 18x + 72

Subtract 216 from both sides

x^2 + 18x + 72 - 216= 0

x^2 + 18x - 144 = 0

Using factorization method to solve the quadratic equation

x^2 + 24x - 6x - 144 = 0

x( x+ 24) - 6 ( x + 24) = 0

(x + 24) (x - 6) = 0

x + 24 = 0

x = -24

x - 6 = 0

x = 6

x = -24 or 6

x can not be a negative value , so, x = 6 cm

Answer:

120

Step-by-step explanation:

An equilateral triangle has 3 sides. The exterior angle = 360 / 3 = 120

A square has 4 sides. Each exterior angle = 360 / 4 = 90

A regular n gon has n sides. The exterior angles will be 360/n

Answer: 56lb

Step-by-step explanation:

Wilma has:

5 small containers that hold 8 lb each: Here we have a total of 5*8lb = 40 lb

6 large containers that hold 12 lb each: Here we have a total of 6*12lb = 72 lb

There is a total of 40lb + 72lb = 112 lb.

Now we know that she uses 4 lb, so now she has:

112lb - 4lb = 108lb.

Now she wants to fill 26 bird feeders, that can hold 2 lb each.

So she needs 26*2lb = 52lb

The amount of bird seeds that she has left is:

108lb - 52lb = 56lb

Answer:

15. 60% of 25 is 15.

The value of the given expression will be  [tex]\rm (f\ Log_6\ e)[/tex]

It is given in the question that

log subscript 6 baseline e superscript f

When we convert it into the mathematical form we get

[tex]\rm=Log_6\ e^f[/tex]

Now from logarithmic property

[tex]\rm Log_a\ u^n=n\ Log_a\ u[/tex]

By using this property the expression will become

[tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]

Thus the value of the given expression will be [tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]

To know more about Logarithmic functions follow

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Answer:

flog6e

Step-by-step explanation:

promise it's correct

Answer:

See below.

Step-by-step explanation:

-10.75(20x+15.2)

-215x-163.4

-hope it helps

The equivalent expression is,

⇒ - 215x - 163.4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 10.75 (20x + 15.2)

Now, We can simplify as;

⇒ - 10.75 (20x + 15.2)

⇒ - 10.75 × 20x - 10.75 × 15.2

⇒ - 215x - 163.4

Thus, The expression is equivalent to - 215x - 163.4.

Learn more about the mathematical expression visit:

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First, do the prime factorization.

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The GCF is the product of their shared factors.

They share 2, 2, 2, and 3.

2 x 2 x 2 x 3 = 24.

Their GCF is 24.

The greatest common factor of the given numbers 96 and 72 will be equal to 24.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given number for GCF in the question,

Firstly, factorize the given numbers,

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The result of their shared factors is the GCF.

2 x 2 x 2 x 3 = 24.

Therefore, the GCF is 24.

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Answer:

A≈1.77

Step-by-step explanation:

Answer:

9 hours

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

The sum of 3 and 7 is 10

then what number to you multiply 10 by to get 45

45 ÷ 10 = 4.5

so the answer is 4.5

Answer:

4

Step-by-step explanation:

I know this because if you try multiply each number there by 45 you would need to get the total of 180, but if you multiply 45 times 4 you may get 180. The answer you chose is wrong because it doesn't get to 180 with any number you try multiplying with that number you chose.  

P = 2 * (6x - 5) + 2 * (1/4x + 2)

  = 12x - 10 + 1/2x + 4

  = 12 1/2x - 6   => A

Answer:

final cost of 3 pounds:  8 dollars  

final cost of p pounds:   3.75p - 3.25  dollars  

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

esla  de f                     b

Step-by-step explanation:

Answer:

17=w

Step-by-step explanation:

decompose the brackets

24-2w=2w-34-10

collect like terms

24+34+10=2w+2w

68=4w

divide by 4

17=w

Answer:

3 cups of sugar.

Step-by-step explanation:

Divide 4.5 by 0.75(cups of flour) which gives you 6. Multiply 6 by 1/2.

Let x be the number

[tex]\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}[/tex]

[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}[/tex]

[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}[/tex]

[tex]\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }[/tex]

[tex]\small\bold\red{→}\small\bold{x = 12}[/tex]

Hello.

First, "half a number" means we divide that number by 2.

Let's say the number is z.

Divide z by 2:

[tex]\displaystyle\frac{z}{2}[/tex]

Add 5 to it:

[tex]\displaystyle\frac{z}{2} +5[/tex]

Now, this expression equals 11:

[tex]\displaystyle\frac{z}{2} +5=11[/tex]

Subtract 5 from both sides:

[tex]\displaystyle\frac{z}{2} =11-5[/tex]

[tex]\displaystyle\frac{z}{2} =6[/tex]

Now, in order to get rid of the fraction, we should multiply the entire equation by 2:

[tex]\displaystyle\frac{z}{2} *2=6*2[/tex]

[tex]z=6*2[/tex]

[tex]\Large\boxed{z=12}[/tex]

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

Answer:

$2,000

Step-by-step explanation:

Since B sold the article to C at a gain of 20%, 2,640 must be 120% or 1.2 times the price that B paid.

To find the price that B paid, we just need to divide 2,640 by 1.2, as the original price multiplied by 1.2 = a 20% increase.

2,640/1.2= 2,200

The price B paid for it must have been 2,200.

Now we know that 2,200 was the price sold by A to gain 10%, therefore it is 110% or 1.1 times the original price A paid for it. Therefore, once again to find the original price, we just need to divide it by 1.1:

2,200/1.1 = 2,000

The original price it cost A was $2,000.

Hope this helped!

Hey there!

Let's solve all these equations.

The first equation:

x+7=12

subtract 7 from both sides:

x=5

not 15 ;)

The second equation:

15+x=10

subtract 15 from both sides:

x=-5

not 15 ;)

13+x=38

subtract 13 from both sides:

x=38-13

x=25

not 15 ;)

let's try the last option (it has to work)

x+24=39

subtract 24 from both sides:

x=15

Yep!

Hence,

[tex]\boxed{\boxed{\bold{Option~D~is~correct.}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

1.675 lb

Step-by-step explanation:

Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.

So, after mixing, the total amount of mixture is

6.83 lb + 3.57 lb = 10.40 lb.

After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.

So,he total amount of mixture in 6 bags = 10.40 lb - 0.35 lb=10.05 lb, which is the weight of 6 bags.

The weight of one bag =\frac {10.05}{6} lb

=1.675 lb

As all the bags are of the same size, so the weight of all the bags are same,

Hence, the weight of each bag is 1.675 lb.

Answer:

D (-1,3)

E (2,2)

F (2,1)

G (-1,0)

Step-by-step explanation:

Multiply each point by 1/5.

Or think of it as dividing each point by 5

D (-5,15) divide -5 by 5 get -1, divide 15 by 5 get 3

so, (-1,3)

The coordinate of the new trapezoid will be D'(-1, 3), E'(2, 2), F'(2, 1), and G'(-1, 0).

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0).

The scale factor will be 1/5. Then the coordinate of the new trapezoid will be given as,

D' = (-5/5, 15/5) = (-1, 3)

E' = (10/5, 10/5) = (2, 2)

F' = (10/5, 5/5) = (2, 1)

G' = (-5/5, 0/5) = (-1, 0)

The direction of the new trapezoid will be D'(- 1, 3), E'(2, 2), F'(2, 1), and G'(- 1, 0).

The diagram is given below.

More about the dilation link is given below.

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Answer:

6.

1 table seats 5 students

2 tables seat 8 students

3 tables seat 11 students

4 tables seat 14 students

5 tables seat 17 student

Each new tables allows 3 more students to have a seat.

7.

Each additional table does not have seats for 5 students because the side of it is pressed against another table, so a student cannot sit there.

Answer:

-4

Step-by-step explanation:

you just plug in. so, 2(6)-16

so, 2*6 is 12

12-16=-4

Answer:

g(6)= -4

Step-by-step explanation:

g(6) means x is equal to 6

g(6)= 2(6)-16

          12-16

g(6)= -4

Hope this helps!

Answer:

30000

Step-by-step explanation:

Currently there are 5 significant figures.  Since there is a 5 after the 2, it would round it up to a 3.  Zeros aren't considered significant figures unless there is a period.  Therefore, 30000 is the answer.  3 is the 1 significant figure with four insignificant zeros.

Answer:

30000

Step-by-step explanation:

Remember non-zero numbers are significant.

Zero between non zero numbers are significant.

So 25637 to 1 significant figure is rounding it off to the nearest ten thousand in a simple way.

So 25637 to 1 significant figure simply becomes 30000.

HOPE IT HELPED.

ENJOY THE REST OF YOUR DAY OR NIGHT

Answer:

For every 4 cars, there were 7 trucks.

Step-by-step explanation:

We go in the order it's given, if there are cars to trucks, we can assume the numerator in the ratio will be cars, and the denominator in the same ratio will be trucks.

Answer:

4, and 7

Step-by-step explanation:

if the ratio of cars to trucks is 4:7, that means there are 4 cars to every 7 trucks

Answer:  y= -1/2x + 5  

Step-by-step explanation:

We will write the equation in slope-intercept form meaning that we will need to find the slope and the y-intercept.

The slope-intercept for is y=mx +b   where m is the slope and b is the y-intercept.

Find the slope by find the difference in the y coordinates and divide it by the difference in the x-coordinates.

The y-coordinates are 3 and 1  

The x coordinates are 4 and 8.

3-1 = 2  

4-8 = -4  

2/-4=   -1/2  

The slope is -1/2  

We will now use one of the points and the slope to find the y-intercept by plotting their values into the formula .

3= -1/2(4) + b

3= -2 +  b

+2  +2

b= 5

The equation will be y= -1/2x + 5