Cans of soup are stocked in 1,250 sq. ft. of warehouse space. If each can requires 2 1/2 sq. ft. of space, how many cans of soup can be stored in this space?

The Equivalent expressions of the given expression is a 27x -3.

According to the statement

We have to find that the equivalent expression.

So, For this purpose, we know that the

Equivalent expressions are expressions that work the same even though they look different.

In other words, Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

From the given information:

The given expression is a

3(5x + 7)-6(4- 2x)

To find the equivalent expression we have to solve it

Then

3(5x + 7)-6(4- 2x)

15x + 21 -24 +12x

Now combine the similar terms by applying mathematical operations

Then the equation become

27x -3.

So, The Equivalent expressions of the given expression is a 27x -3.

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The y-intercept of the given line is -1/2

Y-Intercept means the line making an intercept on the y-axis where the value of x will be 0.

In simple terms, the Y-intercept of any line can be found by making x = 0

The equation of the line given is

20x + 20y = -10

So to find the y-intercept, let us keep x = 0

Thus, the equation becomes

20(0) + 20y = -10

0 + 20y = - 10

20y = -10

y = -10/20

y = -1/2

y = -0.5

The answer need to be in proper fraction as said in the question,

Thus y = -1/2

So, The y-intercept of the given line is -1/2

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Answer:

Well on average if you leave the water running that's about 4 gallons the first time you brush your teeth. So brushing your teeth twice a day would be on averge 8 gallons a day.

Step-by-step explanation:

Hope this helps......if not sorry for wasting your time and may God bless you<3

Answer:

648, 108 , 18, 3

divide all with 3

216,36,6,1

which means 6³,6²,6¹,6⁰....can be written as

[tex] {6}^{4 - 1} \: \: {6}^{4 - 2} ...so \: on \\ [/tex]

[tex]so \: \: pattern = \\ n = {6}^{4 - n} \times 3[/tex]

Answer:

7 ounces

Step-by-step explanation:

You divide 28 by 4 which would equal to 7 ounces per batch.

Elizabeth used 7 ounces of vinegar to make 1 batch of salad dressing.

Given that Elizabeth uses 28 ounces of vinegar to make 4 batches of salad dressing.

We need to determine the rate of change for this situation.

To find the number of ounces of vinegar Elizabeth used to make 1 batch of salad dressing, we need to divide the total amount of vinegar (28 ounces) by the number of batches (4).

The rate of change for this situation is the amount of vinegar used per batch.

Let's calculate it:

Vinegar used per batch = Total vinegar used / Number of batches

Vinegar used per batch = 28 ounces / 4 batches

Vinegar used per batch = 7 ounces

So, Elizabeth used 7 ounces of vinegar to make 1 batch of salad dressing.

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Answer:

if there is lettuce, carrots, and broccoli... those are three ingredients.

Step-by-step explanation:

3, because of the amount of ingredients

Answer: 59

Step-by-step explanation:

Answer:

[tex]\displaystyle{h = \dfrac{3V}{\pi r^2}}[/tex]

Step-by-step explanation:

Given the equation of:

[tex]\displaystyle{V=\dfrac{1}{3}\pi r^2 h}[/tex]

The equation is also reference to volume of a cone. To solve an equation for h-term, we’ll multiply both sides by 3 first to clear all denominator:

[tex]\displaystyle{V \cdot 3 = \dfrac{1}{3}\pi r^2 h \cdot 3}\\\\\displaystyle{3V = \pi r^2 h}[/tex]

Then divide both sides by [tex]\displaystyle{\pi r^2}[/tex]:

[tex]\displaystyle{\dfrac{3V}{\pi r^2}=\dfrac{\pi r^2 h}{\pi r^2}}\\\\\displaystyle{h = \dfrac{3V}{\pi r^2}}[/tex]

The expression in terms of i  is  mathematically given as

x=√6*i

A complex number is a component of a number system that extends the real numbers by adding a specific element denoted I also known as the imaginary unit, and satisfying the equation i2 = 1;

Every complex number can be expressed in the format a + bi, where a and b are real numbers. In other words, a complex number is a number that contains both real and imaginary components.

Generally, the equation for the expression is  mathematically given as

x=√-6

Where

i=√-1

Therefore

x= √6 *√-1

x=√6*i

In conclusion, The expression in terms of i is

x=√6*i

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Answer:

it's true because

Answer:

10742527

Step-by-step explanation:

Answer:

I think it's -62.3 feet

Step-by-step explanation:

So if a scuba diver is 75 feel below sea level that will be -75 feet and if they go up by 12.7 feet that will be -62.3 feet.

Im not quite sure but I hope this helps

Answer:

10 days

Step-by-step explanation:

20-0.4x=16

-20          -20

-0.4x=-4x

/0.4  /0.4

x=10

so after 10 days she'll need to purchase another bag of rice  

the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.

We know that, if the lines are parallel, then their slopes are equal.

We have the line:

- x + 2 y = 7

Slope = - 1

Now, we have the point ( 4, 3)

So, the equation of the line will be:

y - y₁ = m ( x - x₁ )

Substituting the values, we get that:

y - 3 = - 1 ( x - 4 )

y - 3 = - x + 4

x + y - 3 - 4 = 0

x + y - 7 = 0

- x - y + 7 = 0

Therefore, the equation of the line that is parallel to the line - x + 2 y = 7 is - x - y + 7 = 0.

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Answer:

-9.5, -7, 5

Step-by-step explanation:

We need to make this a readable function. We will change it to slope-intercept form, y = mx + b. to do this, we must isolate the variable y.

-5x + 2y = -19
-5x + 2y + 19 = -19 + 19
-5x + 2y + 19 = 0
-5x + 2y - 2y + 19 = -2y
-5x + 19 = -2y
We are solving for positive y, so we will flip all signs in the equation.
5x + - 19 = 2y
5x/2 - 19/2 = 2y/2
2.5x - 9.5 = y
y = 2.5x - 9.5

There's our y = mx + b. We now need to solve for each ordered pair.

y = 2.5(0) - 9.5
y = -9.5
(0, -9.5)

y = 2.5(1) - 9.5
y = 2.5 - 9.5
y = -7
(1, -7)

2.5x - 9.5 = 3
2.5x - 9.5 + 9.5 = 3 + 9.5
2.5x = 12.5
2.5x/2.5 = 12.5/2.5
x = 5
(5, 3)

Points of the triangle ABC after rotating counter-clockwise 90° and translation of [(x+2),(y-5)] will be a triangle XYZ which has points of XYZ, X(6,-7), Y(2,-4), and Z(-5,-8).

Translations are of 4 types they are rotation, dilation, translation and reflection.

We know when the rotation of 90° counter-clockwise takes place we switch the coordinates (x,y) to (y,x) and make x negative which is (y,-x).

Given a triangle ABC with points A(2, 4), B(-1, 0), and C(3, -7) rotated 90° to form another triangle XYZ.

∴ Points of triangle XYZ will be X(4,-2), Y(0,1), and C(-7,-3).

Now we translate these points by [(x+2),(y-5)].

∴ Points of triangle XYZ will be X(6,-7), Y(2,-4), and Z(-5,-8).

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Answer:

$1.62

Step-by-step explanation:

If you divide $2.43 by 3 it's 0.81 and that's the cost of one loaf of bread so multiply that by 2 and you get the cost of two loaves of bread which is $1.62

Answer:

im assuming D equals miles so id have to say 35

Step-by-step explanation:

Answer:

(a) 9a + 2

(b)  a = 5

Step-by-step explanation:

Perimeter of a triangle = sum of sides

=

2a + 1     +
3a + 2    +
4a  - 1
----------

9a + 2   Answer (a)

If perimeter = 47 , then 9a + 2  =47

Subtract 2 from both sides

==> 9a = 47 -2

9a = 45

a = 45/9

a = 5

Answer:

square root of 29

Step-by-step explanation:

1. Find the hypotenuse for the right triangles

2. There’s your answer

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Answer:

- 14x +3

Step-by-step explanation:

hope this helps u. : )

Answer:

86-30=56

86-4=82

86-34=52

Step-by-step explanation:

The statement as an inequality expression is 739214 < x < 740000

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

The statement is given as

"The number on Riben's ticket has a value between the values 739214 and 740000”

Let the value on the ticket be x

So, the statement can be represented as

"x has a value between the values 739214 and 740000”

"Between" means the values are exclusive

So, the statement can be represented as

739214 < x < 740000

Hence, the statement as an inequality expression is 739214 < x < 740000

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Possible question

Represent the following statement as an inequality

"The number on Riben's ticket has a value between the values 739214 and 740000”

Answer:

x=-3y+12

Step-by-step explanation:

[tex]4-\frac{x}{3}=y[/tex]

You can subtract y from both sides and add (x/3) to both sides to isolate the variable that you're trying to solve.

[tex]-y+4=\frac{x}{3}[/tex]

Multiply both sides by 3

[tex]-3y+12=x[/tex]

Answer:

I cant see the picture that clearly but it looks like it'll be about $6.50

it's kinda blurry

Step-by-step explanation:

Using probability we can say that the event that Gavin rolls an even number on a number cube is as likely as not.

Probability is the study of chance. The likely chance that an event can occur in a random experiment written as a fraction is called probability.

Probability of a event is calculated as the ratio of the favorable outcomes of an event to all the possible outcomes of the event.

Given as experiment: A number cube is rolled by Gavin.

Event : An even number comes up on the face of the cube.

Favorable outcomes : {2,4,6} = 3 outcomes

Total outcomes or sample space: {1,2,3,4,5,6} = 6 outcomes

Probability that an even number comes up:3/6=1/2

Probability that an even number does not come up=1-1/2=1/2

From the above probabilities we see that :

P(even)=P(not even)=1/2

Hence the Gavin rolls an even number is as likely as not likely.

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28

Step-by-step explanation:

Given,

No. of cameras that Gretta has : 103

No. of Cameras she misplaced : 75

1 full box contains 1 camera each

No. of full boxes that she can ship:

= No. of Cameras she has - no. of cameras she misplaced.

= 103-75

= 28

Therefore, the no. of full boxes that Gretta can ship is 28.