Mathematics College

## Answers

**Answer 1**

**Answer:**

Option B

**Step-by-step explanation:**

**Given Equation :**

[tex] \qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2[/tex]

**Using distribute property:**

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2[/tex]

**Adding the like terms we get :**

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x + 5x - 15 + 2[/tex]

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 7x - 13[/tex]

**Transposing the variables on the right side and constant terms on the left side :**

[tex]\qquad \sf \dashrightarrow \: 12x - 7x = - 13 - 9[/tex]

[tex]\qquad \sf \dashrightarrow \: 5x = - 22[/tex]

**Dividing both sides by 5 :**

[tex]\qquad \sf \dashrightarrow \: \dfrac{5x}{5} = \dfrac{ - 22}{5} [/tex]

[tex]\qquad \bf \dashrightarrow \: x = \dfrac{ - 22}{5} [/tex]

## Related Questions

What is the anwser I need to get this done!!

### Answers

**Answer:**

1. none of these

2. vertical angles

**Step-by-step explanation:**

itz cuz im that bi/tch

Solve this Question. 25 points + Brainelist

### Answers

**Answer:**

[tex]\log_{10}2=0.3010[/tex]

**Step-by-step explanation:**

[tex]a^c=b \implies \log_ab=c[/tex]

Given: [tex]2=10^{0.3010}[/tex]

Therefore,

a = 10b = 2c = 0.3010

[tex]10^{0.3010}=2 \implies \log_{10}2=0.3010[/tex]

Crystal earns $5.50 per hour mowing lawns.how much does crystal earn if she works 3 hours and 45 minutes

### Answers

Your question does not make sense unless you can estimate but the answer would be 20.625

Work:

You have to multiply 5.50 to 3.75 because 45 is 75 percent of 60

The value of a share of stock decreases in value at a rate of $2.70 per hour during the first 6.5 hours of

trading. Enter and solve an equation to find the decrease in the value of the share of stock during that

time. Let x represent the decrease in value of the share of stock during 6.5 hours.

### Answers

**Answer: the awnser will be 17.55$**

**Step-by-step explanation: cause you multiply 6.5 x 2.70**

Find the perimeter and the area of the figure. A right-angled trapezoid has a shorter base of 7 centimeters, longer base of 9.5 centimeters, and height of 6 centimeters. The trapezoid is divided into a rectangle and a right triangle. The height of the triangle is aligned with the width of the rectangle and it has a hypotenuse of 6.5 centimeters.

### Answers

The given dimensions of **9.5**, **6**, **7**, and **6.5 cm** gives the following

**perimeter **and area of the trapezium.

Perimeter: 29 cmArea: 49.5 cm²

How can the area and perimeter of the trapezium be found?

The **perimeter** of a **trapezoid **is **given **as follows;

Perimeter = The sum of the lengths of the sides

Which gives;

Perimeter = 6 + 7 + 6.5 + 9.5 =** 29**

The perimeter of the trapezoid = 29 cm

Perimeter: 29 cm

The **area **of the **trapezoid **is **given **as follows;

[tex]Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}[/tex]

Which gives;

[tex]Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5[/tex]

The area of the trapezoid = 49.5 cm²

Area: 49.5 cm²

Learn more about the **area **and **perimeter **of **geometric **shapes here:

https://brainly.com/question/359059

https://brainly.com/question/11461461

A prism is completely filled with 64 cubes that have edge lengths of 1/2

In

What is the volume of the prism?

Enter your answer in the box.

in3

### Answers

**Answer:**

9in³

**Step-by-step explanation:**

Hope this answers helps you

There are 5 subjects each school day. Each subject is 45 minutes long. Lunch and recess are 35 minutes long. How long is the school day?

### Answers

**Answer:**

4 hours and 33 minutes

**Step-by-step explanation:**

Before I answer, I was confused if recess and lunch are 35 minutes in total or 35 minutes each. My answer is if they are 35 minutes combined. If that's wrong, you can just add 35 minutes to my answer.

5*45 = 225

225+35 = 260 minutes or 4 hours and 33 minutes

If I have 53 shirts and have to get 100 shirts in 37 days, how many shirts do I have to get in less 37 day?

### Answers

**Answer:**

if you have 53 shirts and have to get 100 shirts in 37 day's you will need to get 47 shirts

A cuboid with a breadth of 4 cm and length of 6 cm has a volume of 350 cm3. Find the height of the cuboid, giving you answer to one decimal place.

### Answers

**Answer:**

14.58 m3

**Step-by-step explanation:**

here, breadth (b) = 4cm

length (l) = 6cm

volume (v) = 350cm3

height (h) = ??

we know, volume of cuboid=

length × breath× height

or, v = L× B × H

or, 350 = 6 × 4 × H

or, 350 = 24 × H

or, 350/25 = H

or 14.58 = H

therefore, H = 14.58cm3

The diameter of a circle is 4 yards.

What is the circle's circumference

d = 4yd

use 3.14 for Pi

### Answers

**Answer:**

**1****2****.****5****6**** ****yards**

**Step-by-step explanation:**

circumference = π x diameter

4 x 3.14 = **1****2****.****5****6**

**Answer:**

12.56

**Step-by-step explanation:**

If x = 9, is AE parallel to BD ? why or why not?

### Answers

**Answer:**

To find : The error in the solution and what additional step needs to be completed?

Solution : The mistake is the step 3 and additional step need to be added after it.

Step 1 - \log x -\log_5 3 = 2\log_5 3logx−log

5

3=2log

5

3

Step 2 - \log x = 3\log_5 3logx=3log

5

3

Step 3 - \log x =\log_5 3^3logx=log

5

3

3

Step 4 - \log x=\log_5 27logx=log

5

27

Applying change base rule of logarithmic, \log_b a=\frac{\log a}{\log b}log

b

a=

logb

loga

Step 5 - \log x=\frac{\log 27}{\log 5}logx=

log5

log27

Step 6 - \log x=\frac{1.431}{0.698}logx=

0.698

1.431

Step 7 - \log x=2.050logx=2.050

Step 8 - x=10^{2.050}x=10

2.050

Step 9 - x=112.20x=112.20

From step 4 to 9 is the required steps.

About how much flooring is needed for a room that is 10 feet wide and 20 feet long?

### Answers

**Answer:**

200ft²

**Step-by-step explanation:**

1x2=2

10x20=200

**So hence, you need 200ft² of flooring for a rom that is 10 feet wide and 20 feet long.**

**Thanks!**

the whale swims down 150 more feet more. what is the whales elevation now

### Answers

**Answer:**

i think it's 22500 deep down to the ocean

Raul added 1.72x10^4 to 8x10^4 and got the sum 9.72x10^10. do you agree with his answer? explain why you agree or disagree

### Answers

the answer is : 9.72×10^4 or 972×10^2

**Step-by-step explanation:**

l didn't agree with the answer because

(1.72×10^4 + 8×10^4)

form above take common i.e., 10^4 so we get,

10^4 (1.72+8.00)

10^4(9.72)

so we get the answer is : 9.72×10^4 or

(972÷100)10^4

972 × 10^-2 ×10^4

972× 10^(-2+4)

972× 10^2

What is the unit price of 12 gallons of gasoline that costs $39.48?

### Answers

**Answer:**

$39.48 per gallon yea the one u have clicked is right

**Step-by-step explanation:**

Diego paid $47 for 3 tickets to a concert. Andre paid $141 for 9 tickets to a concert.

Did they pay at the same rate? Explain your reasoning.

### Answers

**Answer:**

Yes, they paid the same price per each ticket.

**Step-by-step explanation:**

You will have to find each of their individual prices per ticket. For Diego it would be 47/3 or $15.67 per ticket. For Andre it would be 141/9 or $15.67 per ticket. This means that they paid the same price per ticket so they are paying at the same rate for their tickets.

What is the diameter of a sphere with a volume of 18174 ft 3 , 18174 ft 3 , to the nearest tenth of a foot?

### Answers

Answer

The diameter of the sphere is 32.6ft.

Step-by-step explanation:

mark me brainliest!!

Aliya has 125 stickers. Amari has twice

as many stickers as Aliya. How many

stickers does Amari have?

### Answers

**Answer:**

250 stickers

**Step-by-step explanation:**

125 plus 125 is 250

**Answer:**

250 stickers because 125x2=250

Find the slope and the y-intercept of the graph of the linear equation.

y = 4x-7

The slope is (Answer here)

and the y-intercept is (Answer here)

### Answers

**Answer:**

The slope is 8.000/2.000 = 4.000

The y-intercept is -7/1 = -7.00000

**Step-by-step explanation:**

^^

divide the sum of £7890 between charlotte and ali. given that the shares of charlotte at the end of 6 years may be equal to the shares of ali at the end of 8 years. compound interest being 5% ?

### Answers

Based on the sum and the share value after the relevant number of years, **Charlotte's share** is** $4,137.46** and** Ali's share **is **$3,752.54.**

What are Ali and Charlotte's shares?

This can be solved using the** substitution method**:

Alice share + Charlotte's share = 7,890

As + Cs = 7,890

**As = Cs**

(As x Future value factor, 5%, 8 years) = (Cs x Future value factor, 5%, 6 years)

(As x 1.47745) = (Cs x 1.3400)

Cs = (As x 1.47745) / 1.3400

**Cs = As x 1.1025746**

Slotting these back in the **original formula **gives:

As + (As x 1.1025746) = 7,890

2.1025746As = 7,890

,As = 7,890 / 2.1025746

**= $3,752.54**

**Charlotte's share** will be:

= 7,890 - 3,752.54

**= $4,137.46**

Find out more on the **substitution method **at https://brainly.com/question/190818.

Factor completely.

5x^2 +2x + 3

### Answers

5x^2+2x+3 Are you sure this is correct?

Because there are no 0s of this equation. Basically no x intercept, so it would be pointless to factor.

Mulberry Elementary has a playground in the shape of a rectangle.

The length is 5.5 meters

The width is 3.2 meters

Over the summer, the school will increase both the length and the width of the playground by 40% each.

Part A:

What will be the perimeter, in meters, of the enlarged playground? Enter your answer as a decimal with a hundredths place value.

Part B:

By how many square meters will the area of the playground increase? Enter your answer as a decimal with a thousandths place value.

### Answers

The **perimeter** of the enlarged playground is **24.36 meters, **and the increase in area is **16.9 m²**

What is an **area**?

An area is the** amount of space **occupied by a **two dimensional s**hape or object. The area of a rectangle is:

**Area = length * width**

Given that length = 5.5 m, width = 3.2 m

Hence:

**Area **= 5.5 * 3.2 =** 17.6 m²**

**Perimeter** = 2(length + width) = 2(5.5 + 3.2) = **17.4 m**

There is an increase in both the length and the width of the playground by 40% each. Hence:

New length = 1.4 * 5.5 = 7.7 m, new width = 1.4 * 3.2 = 4.48 m

**Area **= 7.7 * 4.48 =** 34.5 m²**

**Perimeter** = 2(length + width) = 2(7.7 + 4.48) = **24.36 m**

Increase in area = **34.5 m² - 17.6 m² = 16.9 m²**

The **perimeter** of the enlarged playground is **24.36 meters, **and the increase in area is **16.9 m²**

Find out more on **area **at: https://brainly.com/question/25292087

Which solid has a triangle as its side view and a triangle as a cross section perpendicular to its base?

A. cone

B. cylinder

C. triangular prism

D. pentagonal prism

### Answers

**Answer:**

A

**Step-by-step explanation:**

No explaintion sorry.

Hope this helps!

Please help me! 15 points for answering

### Answers

**Answer:**

This statement is not true. (Alternate Interior Angles Theorem)

**Step-by-step explanation:**

<6 and <3 are both interior angles, meaning that they are on the interior of two transversals. They are also alternating the transversal, so they are alternate interior angles. The Alternate Interior Angles Theorem states that if a transversal crosses the set of parallel lines, the alternate interior angles are congruent. This means that <6 and <3 would be congruent to one another, so they would have to measure the exact same degree. Hope this helps! :)

Find the point-slope equation for the line

that passes through the points (5, 19) and

(-5, -1). Use the first point in your

equation.

### Answers

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ =\frac{-1-19}{-5-5} \\=\frac{-20}{-10} =2\\y-y_{1} =m(x-x_1)\\\\m=2\\(x_1, y_1)=(5, 19)\\y - 19 = 2(x - 5)\\y = 2x+9[/tex]

NO LINKS!!! Part 7: Please help me with this problem

### Answers

Apply law of cosines

[tex]\\ \rm\longmapsto c^2=a^2+b^2-2abcos\gamma[/tex]

[tex]\\ \rm\longmapsto c^2=150^2+35^2-2(150)(35)cos110[/tex]

[tex]\\ \rm\longmapsto c^2=22500+1225-10500(-0.34)[/tex]

[tex]\\ \rm\longmapsto c^2=23725+3570[/tex]

[tex]\\ \rm\longmapsto c^2=27295[/tex]

[tex]\\ \rm\longmapsto c=165.2yd[/tex]

**Answer:**

165 yd (nearest yard)

**Step-by-step explanation:**

To calculate the distance from the ball to the center of the green, we need to use the cosine rule:

[tex]c^2=a^2+b^2-2ab \cos (C)[/tex]

where:

C is the anglea and b are the sides adjacent to the angle Cc is the side opposite the angle C

Therefore, for this triangle:

a = 35 ydb = 150 ydC = 110°

Substituting these values into the cosine rule formula:

[tex]\implies c^2=35^2+150^2-2(35)(150) \cos (110\textdegree)[/tex]

[tex]\implies c^2=23725-10500\cos(110\textdegree)[/tex]

[tex]\implies c=\sqrt{23725-10500 \cos(110\textdegree)}[/tex]

[tex]\implies c=165.2761674...[/tex]

[tex]\implies c = 165 \textsf{ yd (nearest yard)}[/tex]

[tex] \rm \orange{ \mathbb Challenge}[/tex] Solve the given question to be a genius. [tex]\blue{ \rule{18mm}{3.5pt}} \red{ \rule18mm3.5pt} \gray{ \rule18mm3.5pt} [/tex] Answer only if u know the answer [tex]\blue{ \rule{18mm}{3.5pt}} \red{ \rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex] [tex]\large{\frak{ \pink{Que}{sti} \purple{on - 1 }}}[/tex] [tex] \rm \large \pink{\textit{ \sf{Find \: the \: sum - } }} \\ \large \red{\sf{ \mapsto100 + 200 + 300.... + 10000 }}[/tex] [tex]\blue{ \rule{18mm}{3.5pt}} \red{ \rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex] [tex]\large{\frak{ \pink{Que}{sti} \purple{on - 2}}}[/tex] [tex]\rm\pink{\large{\sf{ \mapsto Sum \: of \: 2 \: consecutive }}} \\ {\large{\sf{square \: numbers \: is \: 21.}} }\\ \large \red{\sf{Find \: the \: smallest \: number.}}[/tex] [tex]\blue{ \rule{18mm}{3.5pt}} \red{ \rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex] [tex]\large \orange{\bf{No \: Spam }}[/tex] [tex]\blue{ \rule{18mm}{3.5pt}} \red{ \rule18mm3.5pt} \gray{ \rule18mm3.5pt}[/tex] [tex]\large \fcolorbox{green}{gray}{\tt{ s}}[/tex] [tex]\blue{ \rule{18mm}{3.5pt}} \red{ \rule18mm3.5pt} \gray{ \rule18mm3.5pt} [/tex]

### Answers

#1

100+200+300..10000

a=100l=10000n=10000/100=100

Now

[tex]\\ \rm\Rrightarrow S_{100}=\dfrac{100}{2}(100+10000)=50(10100)=505000[/tex]

#2

Numbers be x and x+1

[tex]\\ \rm\Rrightarrow x^2+(x+1)^2=21[/tex]

[tex]\\ \rm\Rrightarrow x^2+x^2+2x+1=21[/tex]

[tex]\\ \rm\Rrightarrow 2x^2+2x=20[/tex]

[tex]\\ \rm\Rrightarrow x^2+x-10=0[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{-1\pm\sqrt{1-40}}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{-1\pm\sqrt{-39}}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{-1\pm \sqrt{39}i}{2}[/tex]

No real solutions

There is R240000 in your company bank account at the beginning of the month.Two-fifths of this money is immediately used to pay for various operating expenses.The remaining money is to be used to cover daily expenses over a period of twenty working days .if 13/20ths of this remaining money is used within the first 10 working days of the month,how much is left per day for the remaining 10 working days?

### Answers

**Answer:**

$50400

**Step-by-step explanation:**

2/5 of 240000 is 96000.

So the remaining money is 240,000-96000, which is 144000.

If 13/20 is used in the first ten days, that leaves 7/20 to be used in the next 10 days.

7/20 of 144000 is 50400.

There's the answer!

The area of a rectangular school yard is 3,195 square meters. The perimeter is 232 meters. What are the dimensions of the school yard?

### Answers

**Answer:**

71 m x 45 m

**Step-by-step explanation:**

Length = x, Width = y

x * y = 3,195

2(x + y) = 232, so

x + y = 232/2 = 116, they y = 116 - x

x * (116 - x) = 3,195

116x - x² = 3,195

x² - 116x +[tex]x = \frac{116\pm\sqrt{116^2-4*3195}}{2}[/tex] = 71, 45

so x = 71, y = 45

Wah value of c makes the equation 15-8+c=11

### Answers

[tex]\mathbb{FINAL\;ANSWER:}[/tex]

[tex]\huge\boxed{\sf{c=4}}[/tex]

[tex]\mathbb{SOLUTION:}[/tex]

Hi! Hope you are having a nice day!

Let's solve the equation for c.

First, subtract 15 and 8:

15-8+c=11

7+c=11

We can actually solve this equation using mental maths.

7+4=11, right? :)

Hope you could comprehend everything.

#CarryOnLearning