5
x
:
9
=
7
:
3

Calculate the value of
x
.

Given:

Consider the expression is

[tex]144x^2-100[/tex]

Jeremy factored the given expression and his steps are given.

To find:

The error in his solution.

Solution:

We have,

[tex]144x^2-100[/tex]

It can be written as

[tex]=12^2x^2-10^2[/tex]

[tex]=(12x)^2-10^2[/tex]

[tex]=(12x+10)(12x-10)[/tex]             [tex][\because a^2-b^2=(a+b)(a-b)][/tex]

Taking out common factors from each parenthesis.

[tex]=2(6x+5)2(6x-5)[/tex]

[tex]=4(6x+5)(6x-5)[/tex]

So, Jeremy was incorrect because the common factor is [tex]2\times 2=4[/tex] instead of 2.

Therefore, Jeremy made his mistake in his last step.

Answer:

11/2 x 7/4 = 77/8 = 9 5/8

Step-by-step explanation:

Answer:

Its 0.4 meters!

Step-by-step explanation:

Answer:

angle G = angle I

HGI=HIJ by RHS fact

HGI=HIJ corresponding angles are alwyas congurrent

Answer:

65/7

=9.28..lies btwn 9 and 10

Step-by-step explanation:

9514 1404 393

Answer:

  $1571

Step-by-step explanation:

If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...

  ymax = $1571

The maximum profit the company can make is $1571 at a selling price of $45 each.

_____

The function can be written in vertex form as ...

  y = -(x^2 -90x) -454

  y = -(x^2 -90x +45^2) -454 +45^2

  y = -(x -45)^2 +1571

Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.

Answer:

y = 5/4x + 1

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

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

Step-by-step explanation:

EZ

Answer:

Softballs = (48/b)

Step-by-step explanation:

Given that,

Total number of softballs = 48

She wants to divide them evenly among b softball bags.

We need to find an expression that represents how many softballs she should put into each bag.

As it is dividing among b softball, it means we divide 48 and b. So,

[tex]s=\dfrac{48}{b}[/tex]

Hence, the required expression is (48/b).

Answer:

x = 10

Step-by-step explanation:

( 6x - 6 ) + ( 7x + 1 ) + 55 = 180

6x + 7x = 180 + 6 - 1 - 55

13x = 130

x = 10

Check:

6(10) - 6 = 56

7(10) - 1 = 69

55 + 56 + 69 = 180 ✔️

Answer:

=> (5200 X 9)/5.5=8509

Step-by-step explanation:

Answer:

#1: -6

#2:5

#3: -1

#4: 8

#5: -5

Step-by-step explanation:

I found what could go into each for example 2(-6) +10= -2.

2 x -6 is -12 and then you add to ten to that and get -2.

Answer: Answer:

1. -6

2. 5

3. -5

4. 8

5. 5

Hope this helps!

Answer: What is the distance from 0 on a number line called?

The distance between a number's place on the number line and 0 is called the number's [absolute value]. To write the absolute value of a number, use short vertical lines (|) on either side of the number.

Step-by-step explanation:

Here's a hint. I hope this helps.

Answer: 3/8q^3 + 9

Step-by-step explanation:

1. combine like terms 5/8q^3 - 1/4q^3, need to make denominator the same to subtract so multiply 2/2 by 1/4q^3, 5/8q^3 - 2/8q^3 = 3/8q^3

2. final answer is : 3/8q^3 + 9

Answer: 32.5

Step-by-step explanation:

This is the answer on Khan Acadamy

Answer: 32.5

Step-by-step explanation: Khan Academy

Answer:

The bananas will cost $1.38.

Step-by-step explanation:

Explanation:

Multiply the number of pounds by the price per pound.

2.51lb×$0.55lb=$1.38

the first would be A and hopes this helps

Answer:

The system of equations 3x + 7y = 80 and 6x + 3y = 63.75 can be used to determine the cost of one CD and one DVD.

Step-by-step explanation:

Given that:

Cost of 3 CDs and 7 DVDs = $80

Cost of 6 CDs and 3 DVDs = $63.75

Let,

x be the cost of one CD

y be the cost of one DVD

According to given statement;

3x + 7y = 80

6x + 3y = 63.75

Hence,

The system of equations 3x + 7y = 80 and 6x + 3y = 63.75 can be used to determine the cost of one CD and one DVD.

Answer:

Since the corresponding sides of similar triangles are proportional,

[tex]\frac{a}{b}= \frac{2.1}{1.4} =\frac{3}{2}[/tex]

Answer:

y=3x+2 to B

y=-x+5 to D

y=2x-1 to C

y=-4x to A

The length of lace would be the circumference of the circle.

Circumference = diameter x Pi

Circumference = 16pi cm

Circumference = 50.24 cm ( approximately)

Answer:

The circumference of the circle.

Step-by-step explanation:

Answer:

D. 2 inches.

Step-by-step explanation:

Given the following data;

Volume of golf (sphere) = 4 in³

A golf ball is spherical in shape. Thus, to find its volume we would use the formula for the volume of a sphere.

[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]

Substituting into the equation, we have;

[tex] 4 = \frac {4}{3} * 3.142* r^{3} [/tex]

Cross-multiplying, we have;

[tex] 12 = 4 * 3.142* r^{3} [/tex]

[tex] 12 = 12.568 * r^{3} [/tex]

[tex] r^{3} = \frac {12.568}{12} [/tex]

[tex] r^{3} = 1.0473 [/tex]

Taking the cube root of both sides, we have;

Radius, r = 1.016 inches.

To find the diameter;

Diameter = radius * 2

Diameter = 1.016 * 2

Diameter = 2.03 ≈ 2 inches.

Answer:

the answer is 2.

Step-by-step explanation:

i just did this question on the exam

Answer:

18 mm²

Step-by-step explanation:

Firstly, I do not think the person above me has the correct answer.

Okay, so I am not very good at explaining things but I will try. When finding the area of a composite figure, you add Area A + Area B.

So for this equation, figure one has a length of 4mm and a width of 3mm. Remember when we are finding the area of a shape, we multiply Length times Width. So, figure one has an area of twelve. The Same applies to figure two. Figure two has a length of 1mm and a width of 6mm, we multiply one by six and get six. Now we add the area of the twelve and six and we get 18mm²

I understand that my explaining skills suck, so I will show it in an easier way

Area A = 4mm x 3mm

Area A = 12mm

Area B = 1mm x 6mm

Area B = 6mm

Area A + Area B = Total Area

12mm + 6mm = 18mm²

So, 18mm² will be your answer.

I hope this helps.

Sorry if it isn't helpful or correct.

The total area of the composed figure with right triangle and two rectangles is 24 square millimeters.

The area of Rectangle is length times of width.

Composite figure has a right triangle and two rectangles.

right triangle with a base of 3 mm and a height of 4 mm

Area of triangle = 1/2×4×3

=6 square millimeter

Area of first rectangle with side lengths of 3mm and 4mm

Area of first rectangle = 3 × 4

= 12 square millimeter

Area of second rectangle with side lengths of 1mm and 6 mm

Area of second rectangle =1×6

=6 square millimeter

Total area is 6+12+6 which 24 square millimeters.

Hence, the total area of the composed figure with right triangle and two rectangles is 24 square millimeters.

To learn more on Rectangles click:

https://brainly.com/question/20693059

#SPJ3

Answer:

A

Step-by-step explanation:

Answer:

[tex]y= 1.25(2)^{x}[/tex]

Step-by-step explanation:

[tex]y= 1.25(2)^{x}[/tex]

For x=0

[tex]y= 1.25(2)^{0} = 1.25[/tex]

For x=1

[tex]y= 1.25(2)^{1} = 1.25(2)=2.5[/tex]

For x=2

[tex]y= 1.25(2)^{2} = 1.25(4)=5[/tex]

For x=3

[tex]y= 1.25(2)^{3} = 1.25(8)=10[/tex]

Answer:

275=27x+5

Step-by-step explanation:

10 people can go to the park

27(10)+5=275