Mathematics Middle School

An equation is shown below:

5(2x − 3) = 5

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work.

Answers

Answer 1
10x -15 = 5
10x = 20
x = 2

This equation has one solution.

The solution would be x = 2
Answer 2

A) This equation has only one solution. B) The solution would be x = 2.

How to find the solution to the given system of equation?

For that ,we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

Given equation is 5(2x − 3) = 5

By solving further,

10x -15 = 5

10x = 20

x = 2

A) This equation has only one solution.

B) The solution would be x = 2

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Related Questions

Which ratio is not equivalent to the other three? A. 2/5 B. 12/25 C. 6/15 D. 18/45.

Answers

b. 
because 2/5=.4
12/25=.48
6/15=.4
18/45=.4
The answer would be answer choice B

Kali wants to build this birdhouse.she bought a24 inch by 48 inch sheet of plywood does kali have enough wood to make the bird house Explain Next Question: kali Decides to paint the bird house.she a a pint of paint that covers 32.5ft^2 of surface how can you tell that kali has enough paint without calculating?? 14 Points

Answers

1. First, we are going to find the area of the sheet of plywood. The sheet of plywood is a rectangle, so to find its area, we can use the formula for the area of a rectangle: [tex]A=wl[/tex]
where
[tex]A[/tex] is the area
[tex]w[/tex] is the width 
[tex]l[/tex] is the length 
We can infer from our problem that the width of the plywood's sheet is 24 inch and the length is 48 inch, so [tex]w=24[/tex] and [tex]l=48[/tex]. Lets replace those values in our formula:
[tex]A=wl[/tex]
[tex]A=(24)(48)[/tex]
[tex]A=1152[/tex] square inches

Next, we are going to find the surface area birdhouse. The birdhouse is a rectangular prism with 5 inches width, 5 inches length, and 8 inches height, so we can use the formula for the surface area of a prism: [tex]A=2(wl+hl+hw)[/tex]
where
[tex]A[/tex] is the surface area 
[tex]w[/tex] is the width 
[tex]l[/tex] is the length 
[tex]h[/tex] is the height 
We already know those values, so lets replace them:
[tex]A=2(5*5+8*5+8*5)[/tex]
[tex]A=210[/tex] square inches 

Since 210 square inches is less than 1152 square inches, we can conclude that Kali has enough plywood to build the birdhouse.

2. We know that there are 144 in^2 in 1 ft^2; those are a lot of square inches! We also know that the surface area of Kali's birdhouse is 210 in^2. Since there are a lot more than 210 square inches in 32.5 square feet, we can conclude that he has more than enough painting to paint his bird house.


Can someone help me find the area

Answers

To find the volume of a container, you simply multiply: L(ength) x B(ase) x H(eight).

In total, you should get a volume of 1078in^3 (the bigger container) plus 175in^3 (the smaller container on top of the bigger one). The answer is 1,253in^3.

Hope this helped! :)

janis and susan went to a clearance sale at a clothing store all blouses were selling for the same price and all skirts were selling for the same price janis bought 4 blouses and skirts in total of $68 what was the cost of each blouse?

Answers

Final answer:

If all 4 items were blouses, each blouse would cost $17. Without knowing how many skirts were bought, we can't definitively determine the exact price of each blouse.

Explanation:

In order to find the cost of each blouse we need to follow the step-by-step solution. Imagine that all items Janis purchased were blouses. As we don't know the exact number of skirts she bought, assume she bought 4 blouses for $68, so the price of one blouse would be $68 divided by 4, which equals $17. However, if Janis also purchased skirts which are not necessarily the same price as blouses, the price of a blouse could actually be less than $17. Without further information on the number and price of skirts, we can't definitively say what the price of each blouse would be.

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calculate the area of a rectangle with an altitude of 30 cm and a diagonal of 50 cm

Answers

Final answer:

Given the diagonal and altitude of a rectangle, we can use the Pythagorean theorem to find the base. From there, multiply the base and altitude to find the area of the rectangle. In this case, the area is 1200 cm².

Explanation:

The question is asking to calculate the area of a rectangle given the altitude (height) and the diagonal. We have two parameters, the altitude which is 30 cm and the diagonal which is 50 cm. From this, we can infer that the rectangle forms a right triangle with the altitude and the base being the two perpendicular sides and the diagonal being the hypotenuse. In this case, we can apply the Pythagorean theorem: base² = diagonal² - altitude².

Absolving, we find the value of the base of the rectangle: base = sqrt(50² - 30²) = 40 cm. The area of the rectangle can be calculated using the formula: Area = base x altitude = 40 cm * 30 cm = 1200 cm². Therefore, the area of the rectangle is 1200 cm².

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Beth drew four quadrilaterals which of the four quadrilaterals that she Drew is a regular polygon

Answers

D would be a regular polygon since regular polygons are defined as shapes that consist of the same sized angles and sides. 

Find M angle P
The diagram is not a scale

Answers

106 + m∠p = 180

Subtract 106 from both sides. 

m∠p = 74°, the second option. 

Find the volume of this triangular prism. Dimensions are in inches

Answers

This prism is the half of rectangular prism, so first find the volume of rectangular prism then divide it by 2 and you'll get the volume of this triangular prism: (12x16x10)/2=960in^3
Volume=l×w×h

12×16=192 (l×w)

192×10=1,920in=volume

Annie is making square shaped flags to cheer on the swim team. The length of the side of the square is given by the expression 2x + 4. Which of the following gives an expression for the perimeter of the square? 4x + 8 2x + 16 8x +16 4x + 16 If x has a value of 5, what is the perimeter of the square? The perimeter is units. If x has a value of 3, what is the area of the square? Show all of your steps. Previous

Answers

If the side of the square is 2x+4, then the perimeter is [tex]P=4(2x+4)=8x+16[/tex].

If x=5, then the perimeter is P=8*5+16=56

If x=3, then the side of the square is 2*3+4=10 and the area is [tex]A=10*10=100[/tex]

The expression for the perimeter of Annie's square-shaped flag is 8x + 16 units. When x is 5, the perimeter of the flag is 56 units. If x is 3, the area of the flag is 100 square inches.

Annie is making a square-shaped flag with the side length given by the expression 2x + 4. To find the expression for the perimeter of the square, we recall that the perimeter of a square is the sum of all its sides. Since all sides of a square are equal, the perimeter is 4 times the length of one side. Therefore, the expression for the perimeter is 4(2x + 4), which simplifies to 8x + 16.

If x has a value of 5, we substitute 5 into our expression for the perimeter, giving us 8(5) + 16, which equals 40 + 16, so the perimeter is 56 units.

If x has a value of 3, the side of the square would be 2(3) + 4, which is 6 + 4, thus the side is 10 inches. The area of a square is the side length squared, so the area would be 10²or 100 square inches.

What is the value of x in the triangle ?

Answers

142.33 should be correct.

The length and width of the screen of the TV set are in the ratio 16:9. If the perimeter of the screen is 180cm find its length and width

Answers

let
x--------> the length of the screen of the TV
y--------> the width of the screen of the TV

we know that
perimeter of the screen=2*[x+y]
perimeter=180 cm
180=2*[x+y]-----> 90=x+y--------> equation 1

x/y=16/9------>x=(16/9)*y-----> equation 2

substitute the equation 2 in equation 1
90=[(16/9)*y]+y----------> (25/9)*y=90------> y=32.4 cm
x=(16/9)*32.4-----> x=57.6

the answer is
the length of the screen of the TV is 57.6 cm
the width of the screen of the TV is 32.4 cm


Please Help!! Will pick brainliest!

Answers

small circle 2/4 = 1/2 and the big circle is 3/5 i hope this is correct. im truly sorry if this was wrong

Use the graph of f (x) to find the solutions to the equation f (x) = 0.

A. two solutions: x = 6, -2
B. two solutions: x = -6, 2
C. one solution: x = -12
D. no solutions

Answers

The graph intersects y = 0 at x = 2 and x = -6, so the answer is B.

The graph of f(x) have two solution: x= -6, 2.

What is Solution of function?

To graphically solve a system of linear equations, we graph both equations in the same coordinate system. The system's solution will be found where the two lines intersect.

For instance, The intersection of the two lines is (-3, -4), which is the solution to this system of equations.

To find the solution of f(x) at f(x) = 0.

we need to focus on the the points where the graph cuts the x axis.

This is because when f(x)= 0 then it means that y= 0 such that the points will lies on the x axis.

Now, from seeing the function have two solutions.

Thus, the solution of the f(x) is -6 and 2.

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If the radius of the compass is 14 millimeters, what is the
 approximate area of the compass? 
A. 87.92 mm2
B. 615.44 mm2
C. 1,230.88 mm2
D. 43.96 mm2

Answers

we know that
area of a circle=pi*r²
for r=14 mm
area=pi*14²----> 615.44 mm²

the answer is
615.44 mm²

Find the value of x on this triangle

Answers

Look at the picture.

ΔABD and ΔBCD are similar, therefore:

[tex]\dfrac{y}{5}=\dfrac{11}{y}\ \ \ |\cross\ multiply\\\\y^2=55\to y=\sqrt{55}[/tex]

Use Pythagorean theorem:

[tex]x^2=5^2+(\sqrt{55})^2\\\\x^2=25+55\\\\x^2=80\to x=\sqrt{80}\\\\x=\sqrt{16\cdot5}\\\\x=\sqrt{16}\cdot\sqrt5\\\\\boxed{x=4\sqrt5}[/tex]

Jewelers building a pen for her baby turtles. She wants the pain to be 30 in long and 45 in wide. What piece of wood will Jill need to purchase to buildTurtle pin?

Answers

135 I think just multiple 45x30

The circle has a radius of 3 cm. What is the area of the circle?
A. 9.42 cm2
B. 56.52 cm2
C. 18.84 cm2
D. 28.26 cm2

Answers

you would do 
3.14*r^2 
which is 3
r=3
what you do is 
3.14*3*3 which is 28.26cm^2 which is D

Answer:

D: 28.26

Step-by-step explanation:

HEEEEEELLLLLLPPPPPP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Heather is planning a dessert display. She needs 4 ounces of strawberries for each dessert.

Part A: Heather is not sure how many desserts she will make. Write an expression with a variable that represents the amount of strawberries Heather needs for the desserts. Identify what the variable represents.

Part B: If Heather has 24 ounces of strawberries, how many desserts can she make? Create an equation and show all work to solve it.

Answers

Part A. 4d- the d is how many desserts will be made
part B. 6- 
24 / 4 is 6

Answer:

4x=24

Step-by-step explanation:

Using the continuously compounding formula, what would the be the balance if you invest $5500 at a rate of 8% compounded continuously for 6 years? PLEASE SHOW ALL OF YOUR WORK in the space provided.

Answers

Continuously compounding formula is given by:
A=Pe^(rn)
where:
A=future value
P=principle
r=rate
n=number of terms
From the information given:
P=$5500, r=8%, n=6 years
thus
A=5500e^(0.08×6)
A=5500e^(0.48)
A=$8888.41
The balance would be $8888.41

Write and solve an inequality that represents the followinh: You want to read at least 12 books over the next 3 months. Let X represent the number of books read each month.

A. 3x>12;x>4
B.4x>12;x>3
C.3x>12;x<4
D.4x>12;x<3
(The signs are Greater than or equal to AND Less than or equal to signs but I couldn't put a line under them to signify that)

Answers

The answer would be A.

How many solutions over the complex number system does this polynomial have
3x^6-x^3-4x^2+3x+52=0

Answers

For this case we have the following polynomial.
 We note that the polynomial graph cuts only the vertical axis at one point.
 The graph has no other cut points on the x axis
 Therefore, the polynomial has:
 6 complex solutions
 0 real solution
 Answer:
 6 complex solutions
 See attached image

Answer:

6 complex solutions

Step-by-step explanation:

how to solve 2x squared -6x-+=0
[tex] {2x}^{2} - 6x - 1 = 0[/tex]

Answers

[tex]2x^2-6x-1=0\ \ \ |:2\\\\x^2-3x-\dfrac{1}{2}=0\\\\x^2-2\cdot x\cdot\dfrac{3}{2}+\left(\dfrac{3}{2}\right)^2-\left(\dfrac{3}{2}\right)^2-\dfrac{1}{2}\\\\=\left(x-\dfrac{3}{2}\right)^2-\dfrac{9}{4}-\dfrac{2}{4}=0\\\\\left(x-\dfrac{3}{2}\right)^2-\dfrac{11}{4}=0\ \ \ \ |+\dfrac{11}{4}\\\\\left(x-\dfrac{3}{2}\right)^2=\dfrac{11}{4}\iff x-\dfrac{3}{2}=\pm\sqrt{\dfrac{11}{4}}\\\\x-\dfrac{3}{2}=-\dfrac{\sqrt{11}}{2}\ \vee\ x-\dfrac{3}{2}=\dfrac{\sqrt{11}}{2}\ \  \ \ |+\dfrac{3}{2}\\\\x=\dfrac{3-\sqrt{11}}{2}\ \vee\ \dfrac{3+\sqrt{11}}{2}[/tex]


[tex]Used:\ (a-b)^2=a^2-2ab+b^2[/tex]

I have a formula of 10 ounces of powder to 1 gallon of water, I need to know how much powder to use to a pint.

Answers

the answer is 1.25 ounces

gene bakes 10 loaves of bre for the party. He needs 4 cups of milk for each loaf. How many quarts of milk does he need to make all of the loaves?

Answers

She needs 40cups to make 10 loaves

The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity. Unit rate is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has.

13(1/3) can be written as,

= 13(1/3)

= 40/3

Each loaf requires 3 and four-fifths cups of flour.

This can be written as,

3(4/5) cups of flour = 1 loaf

19/5 cups of flour = 1 loaf

Multiply 5/19 on both sides.

1 cup of flour = 5/19 loaf

Multiply 40/3 on both sides.

40/3 cups of flour = 40/3 x 5/19 loaf

40/3 cups of flour = 3.5 loaf

This means we can make 4 loaves.

Thus,

The number of loaves Josh can bake with 13 and one-third cups of flour is 4 loaves.

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complete quesrtion:

Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake? 3 loaves of bread 4 loaves of bread 50 loaves of bread 51 loaves of bread

This is an EXPLAIN YOUR THOUGHTS QUESTION, be sure to answer ALL parts of the questions and show all your work.

Task: Find the surface area of a square pyramid with each side of the base measuring 6 cm and the slant height is 12 cm.

Part a) Identify the known values

Part b) Set up the equation that you will use to solve (be sure to include the known values and the variable that you are trying to solve for)

Part c) Solve the equation. (Be sure to include units!)

Answers

a) The known values are ...
• the edge length of the square pyramid base is 6 cm
• the slant height of the square pyramid faces is 12 cm

b) The surface area is the sum of the area of the base and the area of the four triangular sides. The area of a triangle is half the product of base length and height (slant height, in this case).
  A = b² +4*(1/2)*bh = b(b +2h)
Substituting known values, we have ...
  A = (6 cm)*(6 cm +2*12 cm)

c) A = (6 cm)*(6 cm +24 cm) . . . . order of operations: multiplication inside parens
  A = (6 cm)*(30 cm) . . . . . addition inside parens
  A = 180 cm² . . . . . . . . . . multiplication
The area of the pyramid is 180 cm².

Which of the following statements is NOT true?

1) Similar quadrilaterals have all corresponding angles.

2) Similar quadrilaterals have corresponding sides in the same proportion.

3) Similar quadrilaterals are always reflections of one another.

4) Similar rectangles have corresponding angles & sides that are in proportions

Answers

Final answer:

The incorrect statement about similar quadrilaterals is that they are always reflections of one another. Similarity requires equal angles and proportional sides, but does not require figures to be reflections.

Explanation:

The statement that is NOT true among the ones provided about similar quadrilaterals is "Similar quadrilaterals are always reflections of one another."While similar quadrilaterals do have corresponding angles and sides that are in proportion, that alone does not necessitate that one is a reflection of the other.

Reflection involves a specific type of isometry where the figure is flipped across a line, creating a mirror image.

Similarity, on the other hand, only requires that all angles are congruent and all sides are in proportion, regardless of any reflection or orientation.

To further illustrate, consider two rectangles that are similar. They may simply have their sides scaled up or down by the same factor, without necessarily being reflections of one another.

On the other hand, two shapes that are reflections of each other would be congruent, implying that they are the same size as well as being mirror images with respect to a line of reflection.

Final answer:

The statement that is NOT true is number 3: Similar quadrilaterals are always reflections of one another.

Explanation:

The statement that is NOT true is number 3) Similar quadrilaterals are always reflections of one another.

Similar quadrilaterals have all corresponding angles (statement 1) and corresponding sides in the same proportion (statement 2). However, not all similar quadrilaterals are reflections of each other. Similarity refers to the relationship between the corresponding angles and sides of two shapes, not their orientation or position in space.

For example, consider two rectangles with different orientations, but the same angle measures and ratio of corresponding sides. These rectangles are similar, but they are not reflections of each other.

In a wooded area, you randomly select 10 trees and find that 3 are tagged. You conclude that there is a 30% probability of randomly selecting a tagged tree.

A. Empirical
B. Theoretical

Answers

It's Empirical, I believe.

A. It's Empirical (APEX)

What is 10and 1/9 +7and5/6

Answers

Hey there!

First, let's add the whole numbers . . .

10 + 7 = 17

-----------------------------------------------------
Finding the LCD ...

1/9 = 2/18

5/6 = 15/18

2 + 15 = 17

(If both denominators are the same, then they stay the same in the total fraction)

= 17/18

17 + 17/18 = 17 17/18 ←

The correct answer is 17 17/18

10 1/9 + 7 5/6 = 17 17/18

I hope this helps you.
Have a great day! :)

(60 Points)


Question 1
Use the net to determine the total surface area.

(Picture 1)


A. 72 in2


B. 192 in2


C. 232 in2


D. 200 in2

Question 2
Use the net to determine the total surface area.

(Picture 2)


A.270 in2


B. 330 in2


C. 350 in2


D. 310 in2

Question 3
Use the net to determine the lateral surface area.

(Picture 3)


A. 134.4 in2


B. 72 in2


C. 103.2 in2


D. 92.8 in2

Question 4
Use the net to determine the total surface area.

(Picture 4)


A. 528 cm2


B. 480 cm2


C. 336 cm2


D. 192 cm2

Question 5
Use the net to determine the total surface area.

(Picture 5)


A. 249.6 cm2


B. 499.2 cm2


C. 108 cm2


D. 278.4 cm2

Answers

A
D
C
B

I believe those are your answers

The total surface area of each of the figure are 232 inches², 310 inches², 103.2 inches², 336 cm² and 249.6 cm².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

1) Total surface area = (10 × 8) + (10 × 2) + (10 × 8) + (10 × 2) + (8 × 2) + (8 ×2)

                                  = 232 inches²

2) Total surface area = 2 [(10 × 7) + (10 × 5) + (7 × 5)]

                                  = 310 inches²

3) Total surface area = (2)(6)(4) + (2)(1/2)(6)(5.2) + (6)(4)

                                   = 103.2 inches²

4) Total surface area = (4)(1/2)(8)(12) + (12)(12)

                                   = 336 cm²

5) Total surface area = (4)(1/2)(12)(10.4)

                                   = 249.6 cm²

Hence the total surface area area found.

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let f(x)=2x^2-3x+8.what is the value of f(-4)?

Answers

 f(x)=2x²- 3x + 8

f(-4) = 2(-4)² - 3(-4) + 8 = 52

Answer: 52
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