Johnny has an average of an 88% on all his algebra exams

The equations which have exactly one solution are:

Choice A: [tex]-78x+52=-52x-78[/tex]

Choice C: [tex]58x+52=78x-78[/tex]

Choice D: [tex]58x+52=-78x-78[/tex]

Explanation:

Choice A: [tex]-78x+52=-52x-78[/tex]

Adding both sides by 52x, we have,

[tex]-26x+52=-78[/tex]

Subtracting both sides by 52,

[tex]-26x=-130[/tex]

Dividing both sides by -26,

[tex]x=5[/tex]

Hence, the equation [tex]-78x+52=-52x-78[/tex] has exactly one solution.

Thus, Choice A is the correct answer.

Choice B: [tex]52 x+52=52 x-78[/tex]

Subtracting both sides by 52x,

[tex]52=-78[/tex]

Since, both sides are not equal.

It has no solution.

Thus, Option B is not the correct answer.

Choice C: [tex]58x+52=78x-78[/tex]

Subtracting both sides by 78x,

[tex]-20x+52=-78[/tex]

Subtracting both sides by 52,

[tex]-20 x=-130[/tex]

Dividing both sides by -20,

[tex]x=6.5[/tex]

Hence, the equation [tex]58x+52=78x-78[/tex] has exactly one solution.

Thus, Choice C is the correct answer.

Option D: [tex]58x+52=-78x-78[/tex]

Adding both sides by 78x,

[tex]136x+52=-78[/tex]

Subtracting both sides by 52,

[tex]136x=-130[/tex]

Dividing both sides by 136,

[tex]x=-\frac{65}{68}\\x=-0.956[/tex]

Hence, the equation [tex]58x+52=-78x-78[/tex] has exactly one solution.

Thus, Choice D is the correct answer.

Answer

a

Step-by-step explanation:

it must =180

Answer:

5 postcards in each stack. 15 divded by 3 equals 5.

Answer:

[tex]6(70 + 8) = 468[/tex]

answer is b

Answer: The answer is B. hope it could help

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

We know that the sum of angles in a quadrilateral must be 360.

As such, we can sum up all given values for all 4 angles and set it equal to 360

[tex]360=108+88+2x+(3x-6)\\360=190+5x\\170=5x\\x=34\\\\[/tex]

Answer:

x=59

Step-by-step explanation:

the sum is 360 degrees.. Therefor

x + x + 2x + 3 + 2x + 3 = 360

combine alike terms

6x + 6 = 360

6x = 354

x = 59

Answer:

712.5

Step-by-step explanation:

The length of the rectangle is 87.1 feet

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that a rectangular yard has a width that is 1/2 times its length and an area of 3800 square feet.

Length = L

Width = W

Given that

W = 1/2 L

Area =  3800 square feet

The area of the rectangle = length × Width

3800 = L x 1/2 L

L² = 7600

L = 87.1 feet

Thus, the length of the rectangle is 87.1 feet

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Answer: 14 feet

Step-by-step explanation:

The formula for finding the area of a triangle is given as :

Area = [tex]\frac{1}{2}[/tex] x base x height

Let the height be h , then the base is 5 times the height , that is the base is 5h.

Substituting into the formula , we have

490 = [tex]\frac{1}{2}[/tex] x h x 5h

490 = [tex]\frac{1}{2}[/tex] x [tex]5h^{2}[/tex]

multiply through by 2

980 = [tex]5h^{2}[/tex]

divide through by 5

196 = [tex]h^{2}[/tex]

Therefore :

h = 14

Therefore : the height is 14 feet

Answer:

y axis over x axis is the right answer

Answer:

Rise is 2 run is -1.  Slope is [tex]-\frac{2}{1}[/tex].

Answer:

0.0111 grams with the one repeating

Step-by-step explanation:

There are 0.011 grams silicone is used in each pair of headphones.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

1/8 gram of copper and 1/3 of silicone is used to manufacture 30 headphones.

Now,

Since, 1/8 gram of copper and 1/3 of silicone is used to manufacture 30 headphones.

Hence, The amount of silicone is used in each pair of headphones is,

⇒ 1/3 ÷ 30

⇒ 1/3 × 30

⇒ 1/90

⇒ 0.0111 gram

Thus, The amount of silicone is used in each pair of headphones = 0.011 g

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Answer:

Expression = 25

Step-by-step explanation:

2xy+2x^2 = ?

2(-2.5)(-7.5)+2(-2.5)^2 = ?

37.5 + (-12.5) = ?

= 25

Final answer:

The value of the expression 2xy + 2x² for x=-2.5 and y=-7.5 is 50.

Explanation:

To find the value of the expression 2xy + 2x² for x=-2.5 and y=-7.5, we substitute these values into the expression:

2(-2.5)(-7.5) + 2(-2.5)²

Simplifying this expression, we get:

(7.5) + 2(6.25)

= 37.5 + 12.5

= 50

Therefore, the value of the expression 2xy + 2x² for x=-2.5 and y=-7.5 is 50.

Answer:

i got 11%

Step-by-step explanation:

The percentage complaint about parking and location is 58%. The correct option is B

From the histogram ;

Sum of complaints : (200 + 250) = 450

The total number of complaints :

Percentage about parking and location :

Hence, the percentage complaint about parking and location is 58%

Complete Question:

Customer Complaints Estimate the total percentage of complaints about parking difficulties and the location of the store. (nearest whole percent)

A 47%

B 58%

C 75%

D 68%

Answer:

Enough water has been poured .

Step-by-step explanation:

The garden needed water in a week = 5 liters

Jacob poured water on Monday = 326 ml = ( 326/ 1000) liters = 0.326 liters.

SEAN poured water on Tuesday = 1.5 liters

Gavin poured water on Wednesday = 2312 ml = ( 2312/ 1000) = 2.312 liters.

Stephen poured water on Thursday = 894 ml = ( 894/ 1000)  = 0.894 liters

The total amount of water poured by all these people = 0.326 + 1.5 +2.312 +0. 894 = 5.032 liters

Here we can see that water has been poured is more than the water required  in a week.

After converting all the water measurements to milliliters and summing them up, the garden received 5.032 liters of water over four days, which is slightly above the required 5 liters per week. Thus, the garden received enough water.

The question asks if the garden outside Ms. Mertz's class received enough water over a week. To determine this, we need to add up the amounts of water poured each day and compare it to the required 5 liters per week.

First, we convert all measurements to the same unit (milliliters). Then we sum up all the amounts:

326 ml (Monday) + 1500 ml (Tuesday) + 2312 ml (Wednesday) + 894 ml (Thursday) = 5032 ml

Since 1 liter = 1000 milliliters, we divide 5032 ml by 1000 to convert to liters:

5032 ml = 5.032 liters

The garden received 5.032 liters over the four days, which is just above the required 5 liters of water per week.

Therefore, the garden has received enough water for the week, with a small excess of 32 ml.

Answer:

Around the 12x3

Step-by-step explanation:

(12x3)^2+36

Answer:

2a+7

Step-by-step explanation:

Answer:

2a+7

Step-by-step explanation:

2a+6+1=2a+7

Why? Because adding any number and its opposite is always going to be zero.

Consider adding the number 5 to its opposite -5

5 + (-5) = 5-5 = 0

The same applies to fractions as well. All we do is change the sign from negative to positive, or vice versa, to get the opposite number. The opposites cancel out more or less.

You can think of it as going up 5 floors (positive 5), then going back down 5 floors (negative 5). So overall you didn't change floors at all (represented by 0)

Answer:3x6x5

Step-by-step explanation:

Answer:

(4, 12)

Step-by-step explanation:

When the two lines intersect on a graph, it is when you can put the same value for "x" into both equations, and the same value for "y" into both equations.

Because they both equal "y", and y = y, you can equate the expressions together.

y = y

2x + 4 = 2.50x + 2

Now the goal is to move all the numbers with "x" to the left. Move the the numbers to the right side. (This is called isolating "x" because it will be alone).

2x + 4 - 4 = 2.50x + 2 - 4            Subtract 4 from both sides

2x = 2.50x - 2            

2x - 2.50x = 2.50x - 2.50x - 2            Subtract 2.50x from both sides

-0.50x = -2            

-0.50x/-0.50 = -2/-0.50            Divide both sides by -0.50

x = 4            Found "x" coordinate

Choose one of the original equations. Change "x" to 4 (called substitution).

y = 2x + 4

y = 2(4) + 4            Multiply first

y = 8 + 4            Add

y = 12            Found "y" coordinate

Now write the coordinates like an ordered pair (x, y).

The lines intersect at (4, 12).

Answer:

slope 1

Step-by-step explanation:

change in y over cahnge in x

The slope of the line that passes through the points -10,9 and -12,7 is 1.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is defined as the ratio of the rise to the run.

Given that the line passes through the points -10,9 and -12,7. The slope of the line will be calculated as,

The slope of the line is calculated by the formula given below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 7 - 9 ) / ( -12 + 10)

Slope = ( -2 / -2 )

Slope  = 1

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Answer:

C. 40%

Step-by-step explanation:

Since 2 of the 5 sections are shaded in, 2/5 of the circle is shaded in.

Simply divide 2 by 5 to get 0.4 and multiply by 100 to get 40%.

Answer:

425/2

Step-by-step explanation:

Answer:

The new area of the triangle is (1 / 9) th of the original area.

That is to say the original area of the triangle is decreased to (1/9) th of its value.

Step-by-step explanation:

The area of a triangle is given by, Area = 1/2 [tex]\times[/tex] base  [tex]\times[/tex]  height

If each side of a triangle is cut to 1/3 of its original size then the base will also become one third and the height will also become one third.

Therefore the new area  will be given by  = 1/2  [tex]\times[/tex] (1/3 [tex]\times[/tex] base)  [tex]\times[/tex]  (1/3  [tex]\times[/tex] height)

   = 1/9  [tex]\times[/tex] 1/2  [tex]\times[/tex] base  [tex]\times[/tex] height

   = 1/9  [tex]\times[/tex] Area.

The new area of the triangle is 1 / 9 th of the original area.

When the sides of a triangle are reduced to 1/3 of their original size, the area of the triangle becomes 1/9 of its original area.

When the length of each side of a triangle is cut to 1/3 of its original size, the area of the triangle is affected by the square of the scale factor applied to the sides.

Let's use some mathematics to understand why this happens. The area of a triangle is given by the formula:

A = 1/2 * base * height, where 'base' represents the base of the triangle and 'height' represents the height of the triangle.

If each side of the triangle is reduced to 1/3 of its original size, both the base and the height will become 1/3 of their respective original sizes.

The new area (A') can be calculated as follows:

Simplifying this:

A' = 1/2 * (base * height) * (1/3 * 1/3)

A' = 1/2 * base * height * 1/9

A' = (1/2 * base * height) * 1/9

A' = A * 1/9

Therefore, the area of the triangle becomes 1/9 of its original area.

Answer:

the answer is 10,10and 20

Step-by-step explanation:

becoz 2 sides are equal n the other is not

Answer:

your answer is D.) 10,10 and 20

Step-by-step explanation:

Answer: 879

Step-by-step explanation:

The order of operations calls for Parenthesis, Multiply, Divide, Add, Subtract. From left to right.

So we do the parenthesis first (102 - 4)

-3 + 9 (98)

Next we multiply 9 and 98

-3 + 882

Lastly we add -3 and 882

879

Answer:

i wrote this as a decimal so um i hope this at least helps :). 1.75

Step-by-step explanation:

Answer:

6 14/15

Step-by-step explanation:

I would say simplifie the paratensies.

First:

3 2/3+ 17 1/5 =

Common factor of 3 and 5 is 15

3 10/15 + 17 3/15 = 20 13/15

Second:

11 3/5 + 2 1/3 =

Common factor of 3 and 5 is 15

11 9/15 + 2 5/15 = 13 14/15

20 13/15 - 13 14/15 = 7 13/15 - 14/15 = 7 - 1/15 = 6 14/15

Answer: 191,000

Step-by-step explanation:

Answer:

the answer is 2 (x-3)2

Step-by-step explanation:

Answer:

(2x + 6)(x + 3)

Step-by-step explanation:

2x^2 + 12x + 18

The above equation can be factorize as follows.

First multipy the first term(2x^2) and the last term (18) together as shown below

2x^2 x 18 = 36x^2

Next we will find the factor of 36x^2 such that the sum of the two factors will result to the second term in the equation (ie 12x). This factors are 6x and 6x. Now, let us put these factors in the equation, we have:

2x^2 +12x + 18

2x^2 + 6x + 6x + 18

Now we can factorize as follows

2x(x + 3) + 6(x + 3)

Now we have same entity in the two brackets., we'll pick one

(2x + 6)(x + 3)

Answer:

89.4 inches

Step-by-step explanation:

The slant height of the square pyramid, the height of the square pyramid and half the base side of the square pyramid altogether form a right triangle.

In this right triangle, the slant height is the hypotenuse.

By the Pythagorean theorem,

[tex]91.5^2=19.4^2+h^2\\ \\h^2=91.5^2-19.4^2\\ \\h^2=8,372.25-376.36\\ \\h^2=7,995.89\\ \\h=\sqrt{7,995.89}\ in\\ \\h\approx 89.4\ in[/tex]