15 divided by 3.15 what is the unit rate

Answer:

The height of the prism is 16 yards

Step-by-step explanation:

To get the height of the prism, we simply divide the volume of the prism by its base area

Mathematically, we have this as;

128/8 = 16 yards

Answer:

4

Step-by-step explanation:

Answer:

x=22/5

Step-by-step explanation:

multiply by 3 on both sides

7+x=6x-15

x=6x-22

-5x=-22

*-1 on both sides

5x=22

x=22/5

Answer: (-1, -2)

Step-by-step explanation:

so at first you have (1, 2)

then you were asked to reflect about y=x which is (x, y) = (y, -x)

(1, 2) = (2, -1)

then followed by y=-x which is (x, y) = (-y, -x)

(2, -1) = (-1, -2)

Answer: ya any pair of angles opposite of each other.

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

50% of Fundraising goal= 0.5 x $40

                                        = $20

Answer:

( x , y ) = ( -1,1/2)

Step-by-step explanation:

Solve the equation for X

[tex]\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.[/tex]

Substitute the given value of x into the equation 5x + 8y = -1

5(-5/3+4/3y)+8y=-1

Solve the equation for Y

y=-1/2

Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y

x=-5/3+4/3×1/2

Solve the equation for X

x=-1

The system solution is the computer pair

(x,y)=(-1,1/2)

Check if the ordered pair given to the solution of the system of equations

[tex]\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.[/tex]

Simplify the equations

[tex]\left \{ {{-5=-5} \atop {-1=-1}} \right.[/tex]

The ordered pair is the solution of the system of equations, since both equations are true

(x,y)=(-1,1/2)

Answer: there is no expression

Step-by-step explanation:

Answer: 19.615

Step-by-step explanation:

510 ÷ 26 = 19.615

One serving of jelly will be 19.62 grams.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a jar of jelly that contains 510 grams of jelly. There are about 26 servings in one jar.

26 servings weight 510 grams

1 serving will weight (510/26) = 19.62 grams

Therefore, one serving of jelly will be 19.62 grams.

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Answer:

108 candles would be sold in 9 hours

Step-by-step explanation:

First add 48 + 48 = 96

then 48 divided by 4 = 12

12 + 96 = 108

Answer:

15

Step-by-step explanation:

The number of yellow balls will be 15.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A bag contains some red, blue and yellow balls. 30% of the balls are blue and 40% are red.

And, Total number of balls = 50

Now,

Since, A bag contains some red, blue and yellow balls. 30% of the balls are blue and 40% are red.

Hence, Number of yellow balls = 100% - (30% + 40%)

                                                = 100% - 70%

                                               = 30%

Thus, Number of yellow balls = 30% of 50

                                             = 30 x 50 / 100

                                             = 15

Therefore, The number of yellow balls will be 15.

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Answer:

2.72 hours

Step-by-step explanation:

Ryan digs 1/5 hole per hour

Castel digs 1/6 hole per hour

together they dig 1/5+1/6=11/30 holes per hour

11/30/hr divide by 11 to find out 1/30 of a hole per hour

1/30 and multiply by 30 to get a complete hole

1 hole=30/11=2.72 hours

Sorry, I can't move the boxes around

Answer:

when the equations do not intersect they have NO solutions and are parallel

When they intersect at one point, they have ONE solution

When they intersect at all points, they have infinite solutions and are the same line/equation.

Step-by-step explanation:

A system of linear equation has no solution, only one solution, and infinite solutions when the graph of the equation do not intersect, intersect in exactly one point and intersect at all points respectively.

A system of linear equations is a collection of one or more linear equations involving the same variables. A system of linear  equation has

Therefore,

From the graph we can see that " the system of linear equations has no solution, only one solution, and infinite solutions when they do not intersect, intersect in one point, and intersect at all point".

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Answer:

Step-by-step explanation:

a right angle contains 90° (always)

according to the question

x+3+x-1+x+1=90

3x3=90

x=87

x=29

Answer:

Step-by-step explanation:

Given lines:

To determine the answer we need to compare slopes of the lines.

Parallel lines have same slopes, perpendicular lines have negative-reciprocal slopes.

Let's put them in slope-intercept form:

As we see the slopes are 2 and -3, so the lines are neither parallel nor perpendicular

Answer:

16-6=10

Step-by-step explanation:

Francesca used 12 cups of flour for a recipe she is making.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Francesca had 32 cups of flowers she used 3/8 of the flour for a recipe.

So, To obtain the number of cups of flour she used we have to multiply the total number of cups of flour by the fraction of the amount she used which is,

= 32×(3/8) cups.

= 4×3 cups.

= 12 cups.

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Answer:

1. 110°

2. 139°

Step-by-step explanation:

1. 180° in a triangle

180 - 40 - 30 = 110°

2. 180° in a triangle

angles on a straight line add up to 180°

180 - 64 - 75 = 41°

180 - 41 = 139°

Answer:

3/9 + 3/9 ; 2 * (3/9)

2/ 9 + 2/9 + 2/9 ; 3 * (2/9)

Step-by-step explanation:

Rewriting 6/9 as a sum of 2 or 3 equal fractional part :

Rewriting as a sum of 2 equal fractional parts :

6/9 ÷ 2 = (6/9 * 1/2) = 6/ 18 = 3 / 9

Rewriting as a sum :

6 / 9 = 3/9 + 3/9

As multiplication :

2 * (3/9) = 6/9

As a sum of 3 equal fractional parts :

6 / 9 ÷ 3 = (6/9 * 1/3) = 6 / 27 = 2/9

Rewriting as a sum :

6/9 = 2/ 9 + 2/9 + 2/9

Multiplication :

3 * (2/9) = 6/ 9

Answer:

[tex]c(8) =29[/tex]

Step-by-step explanation:

[tex]c(n) = -6 + 5(n - 1)[/tex]

For 8th term (n=8)

[tex]c(8) = -6 + 5(8 - 1)[/tex]

[tex]c(8) = -6 + 35[/tex]

[tex]c(8) =29[/tex]

Answer:

each bottle was 1.25

Step-by-step explanation:

subtract 3.25 from 9.50 and then divide that answer by 5 for the 5 bottles of lemonade

Answer:

The slope of line is [tex]-\frac{8}{7}[/tex].

Step-by-step explanation:

Given points are:

(1, 14) and (8, 6)

x1 = 1 and y1 = 14

x2 = 8 and y2 = 6

Slope of a line is given by formula;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{6-14}{8-1}\\\\m=\frac{-8}{7}[/tex]

Therefore,

The slope of line is [tex]-\frac{8}{7}[/tex].

Answer:

What is the question?

Step-by-step explanation:

Answer:

x-45

Step-by-step explanation:

Given:

The equations of system of equations are

[tex]y=-4x-6[/tex]

[tex]-4x-y-6=0[/tex]

To find:

The solution of given system of equations.

Solution:

We have,

[tex]y=-4x-6[/tex]         ...(i)

[tex]-4x-y-6=0[/tex]         ...(ii)

Adding y on both sides in (ii), we get

[tex]-4x-6=y[/tex]

[tex]y=-4x-6[/tex]

It is same as equation (i). So, we can say that equation (i) and (ii) represent the same line or they are coincident.

Thus, the system of equations has infinitely many solutions.

Therefore, the correct option is C.

Answer:

(x+1)(x+2)

Step-by-step explanation:

x^2 + 3x + 2

find what multiples to 2 and adds to 3

Factors of 2 are 1 and 2, 2 + 1 = 3.

so the binomial would be (x+1)(x+2)

and then you would need to do FOIL to check

First: x * x = x^2

Outer: x * 2 = 2x

Inner: x * 1 = x

Last: 1 * 2 = 2

Then simplify: x^2 + 2x + x + 2

                          x^2 + 3x + 2

Answer:

[tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

[tex]1-\dfrac{1}{3} =\dfrac{3}{3} -\dfrac{1}{3} =\dfrac{2}{3} \: - it \: is \: of \: the \: pie \: was \: left \: after \: Jeremy \: had \: his \: share.[/tex]

[tex]\dfrac{2}{3} \times \dfrac{1}{4} =\dfrac{2}{12}=\dfrac{1}{6} - Sara \: ate.[/tex]

So, Sara ate 2/3 × 1/4 = 1/6

2/3 of the pie was left after Jeremy had his share.

So, Sara ate 2/3 × 1/4 = 1/6.

Given that, Jeremy ate 1/3 of the apple pie,

so, she left = 1 - 1/3 = 3-1/3 = 2/3

i.e. Jeremy ate leaving 2/3 of the pie remaining.

now, we have, Sara ate 1/4 of the remainder (2/3).

To find out how much Sara ate, we multiply 1/4 by 2/3:

(1/4) * (2/3) = 2/12 = 1/6

So, Sara ate 1/6 of the pie.

Now, let's find out what fraction of the pie was left after Jeremy had his share:

Original pie = 1 whole pie = 1/1

Jeremy ate 1/3 of the pie,

so, she left = 1 - 1/3 = 3-1/3 = 2/3

i.e. Jeremy ate leaving 2/3 remaining.

Now, after Sara ate 1/6 of the pie, the fraction left is:

Remaining fraction = (2/3) - (1/6) = (4/6) - (1/6) = 3/6 = 1/2

So, after Sara had her share, 1/2 of the pie was left.

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Answer:

The equation of the line is [tex]y = - \frac{1}{2} x + 1[/tex]

Step-by-step explanation:

☆Remember: [tex]slope = \frac{rise}{run} [/tex]

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