Solve for x using
cross multiplication.

Answer:

25

Step-by-step explanation:

Answer:

22 fourth graders

Step-by-step explanation:

Set up an equation, with the total amount on one side and the amount per cone on the other. Let x represent the unknown number of students:

[tex]1.47x=32.34[/tex]

Now we need to solve for x. Do this by isolating it:

Undo the multiplication on the left side by dividing both sides by 1.47:[tex]\frac{1.47x}{1.47} =\frac{32.34}{1.47}[/tex]

The 1.47 on the left now cancels each other out. Simplify:

[tex]x=22[/tex]

x equals 22, so there are 22 fourth graders in the class.

:Done

Answer:

you can make 8 vest

Step-by-step explanation:

2 of them are green and 3 are blue

Answer:

Step-by-step explanation: 36-9 equals 27. You can only fit 4 evenly so thats the answer

The maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that the height of the space in which boxes are needed to be stored is 36 inches high. Also, the height of the box is 6 inches.

But a space of 9 inches must be left at the top. Therefore, the space left to keep the boxes is,

Space left to keep the boxes = 36 inches - 9 inches

                                                 = 27 inches

Now, the number of boxes that can be put in the leftover space is,

Number of boxes = 27 inches / 6 inches

                             = 4.5

Since a half box can be placed in the space, therefore, the number of boxes that can be in the space is 4.

Hence, the maximum number of boxes that can be stacked in the space of 36 inches keeping 9 inches on the top empty is 4.

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Answer:

d 9 years, 11 months

Step-by-step explanation:

Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year.

P = $5,960.32

Rate = 4.2%

Number of years = x

Final amount=$9000

Number of times compounded= x/2

A= p(1+r/n)^(nt)

9000= 5960.32(1+(0.042*2)/x)^(x/2 *x)

9000= 5960.32(1+0.084/x)^x²/2

2(9000/5960.32)=(1+0.084/x)^x²

3.019972=((x+0.084)/x)^x²

On trial an error

The value of x is found to be approximately 9 year, 11 months

Answer:

D 6 units

Step-by-step explanation:

the answer is d since the height times the side is the area and 6 times 4 is 24

Step-by-step explanation:

4(x-6)=2

4x-24=2

4x=2+24

4x=28

x=7

Answer:

2

Step-by-step explanation:

Answer:

For the graph see attached image.

The y-intercept is 2

Step-by-step explanation:

The requested graph of the function is included in the attached image.

The y-intercept can be seen from the image, but also from finding the y-value when x= 0 (zero):

[tex]y=2\,\,\,3^x\\y=2\,\,\,3^0\\y = 2 \,\,\,(1)\\y = 2[/tex]

Answer:

To graph the function y = 2 • 3^x, we can start by identifying the y-intercept. The y-intercept is the point where the graph intersects the y-axis, which occurs when x = 0.

To find the y-intercept, we substitute x = 0 into the equation y = 2 • 3^x:

y = 2 • 3^0 = 2 • 1 = 2

Therefore, the y-intercept is 2, which corresponds to option (B).

Answer:

a. Coplanar

Step-by-step explanation:

To be coplanar means to be on the same plane. Since C, D, E, and G are on the same plane, they can be called coplanar. Back and Hidden are not math terms. Collinear means points lay on the same line

Answer: A. Coplanar

Step-by-step explanation:

Answer:

43.3

Step-by-step explanation:

Area = Base * Height

Area = 7 * 6.2

Area = 43.3

Answer:

each peice will be 1/15 m long.

Step-by-step explanation:

Answer:

you got this

Step-by-step explanation:your smart try to figure it out by yourself

Answer:

A is yes, and B is no

Step-by-step explanation:

Yes is a key word of A which means it is infact 48 and B is in fact no or 18 because of the discrete maths of espanol you can deprecate george washingtons face. And yes yes, it is gerla no yes maybe

Answer:

8a+2

Step-by-step explanation:

[tex]6a + 8 + 2a – 6\\\\\mathrm{Group\:like\:terms}\\=6a+2a+8-6\\\\\mathrm{Add\:similar\:elements:}\:6a+2a=8a\\=8a+8-6\\\\\mathrm{Add/Subtract\:the\:numbers:}\:8-6=2\\=8a+2[/tex]

Answer:

6a + 8 + 2a – 6

we calculate the unknowns of the same type alone (x with x, a with a, y with y ...) and the digits / numbers alone .

6a+2a=8a

8-6=+2

So 8a+2

Answer:

Weight varies with location depending upon the acceleration due to gravity eg. for a mass m = 10kg on Earth it`s weight is W = mg = 10 x 10 = 100N.

Step-by-step explanation:

Answer:

Hey there!

q-17=23

+17=+17

q=40

Let me know if this helps :)

Answer:

 the midpoint of the class with the greatest frequency 1500

Step-by-step explanation:

The illustration of the dataset given can be well represented in a table format as shown below.

Class                      Frequency                     Relative Frequency

$600 - $800                   3                              [tex]\mathbf{ \dfrac{3}{120} = 0.025}[/tex]

$800 - $1000                  7                              [tex]\mathbf{ \dfrac{7}{120} = 0.059}[/tex]

$1000 - $1200                11                              [tex]\mathbf{ \dfrac{11}{120} = 0.092}[/tex]

$1200 - $1400                22                             [tex]\mathbf{ \dfrac{22}{120} = 0.183}[/tex]

$1400 - $1600                40                            [tex]\mathbf{ \dfrac{40}{120} = 0.333}[/tex]

$1600 - $1800                 24                            [tex]\mathbf{ \dfrac{24}{120} = 0.2}[/tex]

$1800 - $2000                 9                            [tex]\mathbf{ \dfrac{9}{120} = 0.075}[/tex]

$2000 - $2200                4                             [tex]\mathbf{ \dfrac{4}{120} = 0.033}[/tex]

Total                               120                                           1

Therefore, the midpoint of the class with the greatest frequency is between  $1400 - $1600  since the frequency 40 happens to be the greatest frequency

The midpoint =[tex]\dfrac{upper \ limit + \ lower \ limit}{2}[/tex]

The midpoint =[tex]\dfrac{1400+1600}{2}[/tex]

= 1500

Answer:

the answer is 12

Step-by-step explanation:

Simplify both sides of the equation.

12(b−10)+2b=25

(12)(b)+(12)(−10)+2b=25(Distribute)

12b+−5+2b=25

(12b+2b)+(−5)=25 (Combine Like Terms)

52b+−5=25

52b−5=25

add 5 to both sides.

52b−5+5=25+5

52b=30

multiply both sides by 2/5.

(25)*(52b)=(25)*(30)

b=12

Answer:

b=12

Step-by-step explanation:

1/2 (b - 10) + 2b = 25

Multiply each side by 2 to get rid of the fractions

2*1/2 (b - 10) +2* 2b = 25*2

b-10 +4b = 50

Combine like terms

5b -10 = 50

Add 10 to each side

5b -10+10 = 50+10

5b = 60

Divide by 5

5b/5 = 60/5

b = 12

Answer:

He needs to sell approximately 4331 books to break even

Step-by-step explanation:

Let the number of books to be produced be = y

Total cost of production ($)

= 55000+2.3(x)

Price of the book sold($)= 15

Total money from sales= 15(x)

For the publisher to break even, the cost must be equal to the total money from sales.

55000+2.3(x)= 15x

55000= 15x-2.3x

55000= 12.7x

55000/12.7= x

4330.71= x

He needs to sell approximately 4331 books to break even

Answer:

157 degrees

Step-by-step explanation:

the two angles should add up to 180 degrees, so 180 - 23 = 157

answer

smallest 72 and the largest 108

Answer: 108336

Step-by-step explanation:

given data:

cards on deck = 52

Since  2 queens are supposed to be in the  5 card hand. Therefore, 2 queens are choosen since we have a total of  4.

Since  2 Queens have been chosen already choosen. we are left with 3cards out of the hand of 5. This cards are to be choosen from the 48 remaining cards. Similarly same process would be used for other combination of playing cards.

(42∗483)+(43∗482)+(44∗481).

= (6 * 17296) + (4 * 1128 ) + (1 * 48)

= 103776 + 4512 + 48

=108336

Answer:

Step-by-step explanation:

The formula for the circumference is of a circle is: C = 2πr. ___________________________________________________________

Answer:

the third one: -15 <= 4x-3 < 5

Pick any of the two sides and set them equal to one another. So we'll have three different equations

4(x-1) = x+8

or

x+8 = 2x+4

or

4(x-1) = 2x+4

This works because in any equilateral triangle, the three sides are the same length.

--------------------------

If you're curious about the value of x, then we could do the following steps.

x+8 = 2x+4

2x+4 = x+8

2x-x = 8-4

x = 4

If x = 4, then

Each side is 12 units long

Answer:

5-x=40+29 (x=69)

Step-by-step explanation:

Answer:

List Price = $ 20.30

Discount Amount = $ 1.22

Answer:

15-9=6 So the answer is B. 6

Answer:

Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.

Answer:

w = -6

Step-by-step explanation:

Adding 4 to both sides (we do this to get rid of the -4) gives us:

-4 + w + 4 = -10 + 4

w = -6

Answer:

[tex]\Huge \boxed{w=-6}[/tex]

Step-by-step explanation:

[tex]-4+w=-10[/tex]

To solve for [tex]w[/tex], we need to isolate the variable on one side of the equation.

Adding 4 to both sides.

[tex]-4+w+4=-10+4[/tex]

Simplifying the equation.

[tex]w=-6[/tex]

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x-2)^2+(10-10)^2} =\sqrt{(x-2)^2}=x-2[/tex]

The required expression is [tex]x^2-4x+4[/tex]

The given coordinates are (2,10) and (x,10)

The formula for finding the distance between two points is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Now, substituting the given points into the above formula we get,

[tex]\sqrt{(x-2)^2+(10-10)^2}\\=(x-2)^2\\=x^2-4x+4[/tex]

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Answer:

Step-by-step explanation:

The sign of r depends on the sign of the estimated slope coefficient b1:

If b1 is negative, then r takes a negative sign.

If b1 is positive, then r takes a positive sign.

That is, the estimated slope and the correlation coefficient r always share the same sign. Furthermore, because r2 is always a number between 0 and 1, the correlation coefficient r is always a number between -1 and 1.

One advantage of r is that it is unitless, allowing researchers to make sense of correlation coefficients calculated on different data sets with different units. The "unitless-ness" of the measure can be seen from an alternative formula for r, namely:

r=∑ni=1(xi−x¯)(yi−y¯)∑ni=1(xi−x¯)2∑ni=1(yi−y¯)2−−−−−−−−−−−−−−−−−−−−−−−√

If x is the height of an individual measured in inches and y is the weight of the individual measured in pounds, then the units for the numerator is inches × pounds. Similarly, the units for the denominator is inches × pounds. Because they are the same, the units in the numerator and denominator cancel each other out, yielding a "unitless" measure.

Another formula for r that you might see in the regression literature is one that illustrates how the correlation coefficient r is a function of the estimated slope coefficient b1:

r=∑ni=1(xi−x¯)2−−−−−−−−−−−−√∑ni=1(yi−y¯)2−−−−−−−−−−−√×b1