solve the equation 2 b + 32 equal 8

Answers

Answer 1
2b + 32 = 8

1. Subtract 32 from 8 which is -24
2b = -24
2. Divide both sides by 2, to make b by itself
b = -12

Related Questions

the instructions are on the image please help me and please hurry!

Answers

The elements in matrix X is attached below

What is Matrix

Matrix is a mathematical construct consisting of an array of numbers, symbols, or expressions, arranged in rows and columns. It is most often used to represent linear relationships between two or more variables. Matrices are commonly used in science and engineering to represent systems of equations and in computer programming for representing data and performing operations on it.

In this problem, we can easily find x by reversing the variables and solve.

A - X = B

X = A - B

The elements in the matrix can be solved easily using an online calculator.

The value of x is attached below

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8. Each day, Amy walks to school. She leaves her home
and walks south 7 blocks to her friend's house. They then
turn to the west and walk 12 blocks to the school. At the
end of the day, Amy walks directly from the school to
her home.
a) To the nearest tenth (one decimal place), how many
blocks does Amy walk on her way home?
<+
-10
-10
Home s
-5
Friend's house
-5
-10
5
10
School
S
b) How many blocks does Amy walk in one day for her round trip to the school and back
home? Round to the nearest tenth.

Answers

13.9 blocks for a
32. 9 blocks for b
Explanation below

Answer:

(a)  13.9 blocks (nearest tenth)

(b)  32.9 blocks (nearest tenth)

Step-by-step explanation:

The given scenario can be modeled as a right triangle.

If Amy walks south 7 blocks, one leg of the triangle is 7.

If Amy then walks west 12 blocks, the other leg of the triangle is 12.

Part (a)

To calculate the number of blocks Amy walks on her way home if she walks directly from school to her home, find the length of the hypotenuse of the right triangle.

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

Substitute a = 7 and b = 12 into Pythagoras Theorem and solve for c (hypotenuse):

[tex]\implies 7^2+12^2=c^2[/tex]

[tex]\implies 49+144=c^2[/tex]

[tex]\implies 193=c^2[/tex]

[tex]\implies c=\sqrt{193}[/tex]

[tex]\implies c=13.8924439894...[/tex]

Therefore, Amy walks 13.9 blocks (nearest tenth) on her way home.

Part (b)

To calculate the number of blocks Amy walks in one day for her round trip to school and back home, sum the side lengths of the right triangle:

[tex]\implies 7 + 12 + 13.9 = 32.9[/tex]

Therefore, Amy walks 32.9 blocks (nearest tenth) in one day for her round trip to school and back home.

A sector of a circle of 7cm has an area of 44cm².calculate the angle of the sector,correct to the nearest degree π =22\7​

Answers

Answer:

[tex]\theta=102.85^{\circ}[/tex]

Step-by-step explanation:

Given that,

The radius of circle, r = 7 cm

The area of sector, A = 44cm²

We need to find the angle of the sector. The formula for the area of sector is given by :

[tex]A=\dfrac{\theta}{360}\pi r^2[/tex]

Solve for [tex]\theta[/tex].

[tex]\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}[/tex]

So, the angle of the sector is equal to [tex]102.85^{\circ}[/tex].

Only answer question 2

Answers

b. $30

to find out how much $ she earned per day, all you have to do is divide $2,100 by 70, which is $30.

i hope this helps!!
B
70x=$2100
70 days and “x” being the amount of money made for each of those 70 days.
7x3 is 21 so 70x30 equals 2100
Answer is B $30

Match each expression on the left with an equivalent expression on the right. Not all of the options on the right will be used.
361,000
1,400
100 x 14
14(10)
361 - 1000
100(361)
36, 100
14,000
3,610
140

Answers

On solving the provided question, we can say that  on matching the expressions are 100X 14 = 1400 and 14(10) = 140 and 361 . 100 = 36100 and 100(361) = 36100

what is expression ?

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

so, on matching the expressions are

100X 14 = 1400

14(10) = 140

361 . 100 = 36100

100(361) = 36100

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What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?


Enter your answers in the boxes.


y−

=

(x−9)

Answers

The line that passes through these two points is y=x-2

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here function whose graph contains the points (9, 7) and (4, −8)

Thus using the two point formula for a line we get the equation as

y-7=(x-9)

y=x-2

Hence, The line that passes through these two points is y=x-2

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round to the nearest ten

Answers

The answer is A I hope this helps

Answer:

A

Step-by-step explanation:

The given dimensions:

Height = 12 in

Radius = 9 in

Recall the cylinder volume formula: [tex]V=\pi r^2h[/tex]

where r = radius and h = height

Using the dimensions stated above, plug in the values into the formula

[tex]V=\pi 9^212\\9^2=81\\81\pi =254.4690049\\254.4690049*12=3053.628059\\V=3053.628059[/tex]

Finally, round answer to the nearest tenth

Your answer would be A.3053.6

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

75

Step-by-step explanation:

Answer:

75 km

Step-by-step explanation:

Use the Pythagorean Theorem

c² = a² + b²

c² =  = 72² + 21²

c² = 5,184 + 441

c² = 5,625

Take the square root of both sides

c = 75 km

please help with geometry proof

Answers

Answer:

a and c are both congruent to each other i just learned about rhombuses the other day so if a and c are congruent then b and d are congruent too

Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67

Answers

Orange marble selection has a 0.33 experimental probability.12 over 60 is the experimental probability of landing on a number smaller than 2

what is probability ?

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

In each of the three studies, Sandy's experimental probability matched the theoretical probability to the letter.

The theoretical likelihood of landing on orange is one-fourth, but the actual likelihood is 20%.

Orange marble selection has a 0.33 experimental probability.

12 over 60 is the experimental probability of landing on a number smaller than 2.

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Write the ratio for Tan M.

Answers

Answer:

Step-by-step explanation:

PLEASE help test due !!!!
Use the two-way frequency table to answer questions #14-19

Answers

Answer:

14. 1/13

15. 14/15

16. 1/13

17. 15/30=1/2

18. 12/13

19. 12/15

If you are happy with my answers, please give brainliest :)

The vertex form of the equation of a parabola is y = 7(x-3)2 + 4. What is the standard form of the equation?
A. y = 7x2 - 42x+67
B. y = 7x2 - 6x + 22
C. y = 14x2 - 6x + 22
D. y = 14x2 - 12x + 44​

Answers

Answer:

the standard form of the equation is: a. y=7x^2-42x+67

What is the first step in evaluating the expression shown below?

12 ÷ (7.4 – 3.6) + 8 – 2


Subtract 7.4 – 3.6.


Divide 12 ÷ 7.4.


Add 3.6 + 8.


Subtract 8 – 2.

Answers

Answer:

Subtract 7.4 – 3.6

Answer:

Subtract 7.4-3.6

Step-by-step explanation:

Pemdas

jakie pole ma prostokąt o wymiarach 50cm x 16dm?

Answers

Solution

 16 dm=160 cm

50 cm* 160 cm= 8000 cm²= 0,8 m²

odp C

Sara can finish 5 laps around the track in 6 minutes. What is her average speed in miles per hour, if it takes 12 laps around the track to run a mile?

Answers

9514 1404 393

Answer:

  4 1/6 miles per hour

Step-by-step explanation:

6 minutes is 1/10 hour, so Sara's speed is ...

  speed = distance/time

  speed = (5/12 mi)/(1/10 h) = 50/12 mi/h

  speed = 4 1/6 mi/h

Sara's speed is 4 1/6 miles per hour.

Can anyone help me fill in the other blanks

Answers

On solving the problem we got that, 17yds and 11yds are its length and width​

What does perimeter mean?

The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.

length =L

width = W

length is 6 yd longer than its width,

L  =  6 + W

perimeter is 56yds:    

[tex]56= 2(L + W) \\ = > 68 = 2(6 + W) + 2W\\= > 12+ 2W + 2W = 56\\= > 4W = 44\\= > W = 11 yds\\= > L = 11+6 = 17 yds[/tex]

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Show instructions
Question 1 (1 point)
The base of the rectangular prism is shaded in the sketch below. What is the lateral surface area of
the rectangular prism?
15 cm
28 cm
34 cm
A 1,904 cm
B 1,860 cm?
C 3,764 cm?
D 14,280 cm?

Answers

shdudbdhxbdhxbsbdyshs

Answer:

C 3674cm²

Step-by-step explanation:

1) (34×15)×2= 510×2= 1020cm²

2) (28×15)×2= 420×2= 840cm²

3) (34×28)×2= 952×2= 1904cm²

4) Total of all areas (surface area): 1020+840+1904= 3764cm²

pleaaaseeee help faassttttt i lost my calculator also my brain stopped working[tex]\sqrt{25} =?[/tex]

Answers

Answer:

The [tex]\sqrt{25}[/tex]= 5

Step-by-step explanation:

Find Y
Special right triangles
Please last question of the day!! Due very soon please help!!!

Answers

Answer:

[tex] \sin(30) = \frac{y}{2 \sqrt{2} } \\ \\ < = > \frac{1}{2} = \frac{y}{2 \sqrt{2} } \\ < = > y = \frac{2 \sqrt{2} }{2} \\ \\ < = > y = \sqrt{2} [/tex]

Answer:

y= √2

Step-by-step explanation:

sin 30°= y/2√2

1/2= y/2√2

y=√2

Where did Nathan make a mistake?
In Step 1, Nathan did not multiply
both terms in parentheses by-3.
In Step 2, Nathan did not simplify
5x 3x correctly.
In Step 3, Nathan did not divide
by the correct number.
In Step 4, Nathan did not simplify
correctly.
<->) -24
8

Answers

Answer:

The question is not detailed enough

Answer:

In step 2, Nathan did not simplify 5x - 3x correctly.

Step-by-step explanation:

In step 2, Nathan was one number off the correct simplification.

if the radius of the base is 2 cm and the height is 24cm what is the volume?

Answers

V = pi x r^2 x h
V = pi x 2^2 x 24
V = 301.59

19.
A box contains only quarters and dimes. If there were 10% more quarters, the total
value of the money in the box would increase by 7.5%. What is the ratio of the number of quarters to the
number of dimes in the box? Express your answer as a common fraction.

Answers

Answer:

The ratio of the number of quarters to the number of dimes in the box is 9:10

Step-by-step explanation:

I don’t under this pls help thank you

Answers

Answer: 8%

Step-by-step explanation:

100 points please answer

Answers

The best answer is to simplifying each of the identity separately to get the same expression on both sides. Option C

What are trigonometric identities?

Trigonometric identities are described mathematically as equalities consisting of trigonometric functions that proves true for all the value of occurring variables for which both sides of equality are defined.

These involve certain functions of one, two or more angles.

They also are different from triangle identities, which involves angles and side lengths of a triangle.

To verify a trigonometric identity, we take the following steps;

Convert the equalities to terms of sine and cosine.Solve the identities at possible timesThen, simplify the left-hand side of the equation, before simplifying the right-hand side.

Hence, the best option is C

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what does a duck say

Answers

Answer:

theres three possible answers, they either QUACK, HONK, or hum

Step-by-step explanation:

What is the value of sin(7pi/4)? See attached.

Answers

Answer:

-sqrt(2)/2 , the last option of your document.

Step-by-step explanation:

sin(7pi/4) = -sin(7pi/4 - pi)

                = -sin(7pi/4 - 4pi/4)

                 = - sin(3pi/4)

sin(3pi/4) is a special angle , which is sqrt(2)/2

Hence, sin(7pi/4) = -sin(3pi/4)

                             = -sqrt(2)/2

Answer:

-sqrt(2)/2

Step-by-step explanation:

did the test

6) This weekend, Eric makes sandwiches for 5 hours and delivers orders for
4 hours. How much money does he save?
6) Eric saves $
this weekend.

Answers

Answer:

$53

Step-by-step explanation:

You can just substitute the values in the equation

The amount Eric saves this weekend is $53.

What is an expression?

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

Sandwiches= $10

Order delivery= %14

Now,

To find how much money he saves this weekend, you need to substitute s = 5 and d = 4 into the expression and simplify. Here are the steps:

1/2(10s + 14d)

= 1/2(10(5) + 14(4))

= 1/2(50 + 56)

= 1/2(106)

= 53

Therefore, by the expression the answer will be $53.

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What is the greatest common factor of 20 and 65

Answers

Answer:

5

Step-by-step explanation:

Answer:I believe it would be 5

Step-by-step explanation:

because if you do it on a table chart you reach five first as the same number

There are three modes of transporting material from New York to Florida, namely, by land, sea, or air. Also land transportation may be by rail or highway. About half of the materials are transported by land, 30% by sea, and the rest by air. Also, 40% of all land transportation is bay highway and the rest is by rail shipments. The percentage of damaged cargo are, respectively. 10% by highway, 5% by rail, 6% by sea, and 2% by air. (a) What percentage of all cargos may be expected to be damaged

Answers

Answer:

5.7%

Step-by-step explanation:

% Prob (Land) = Half ie 50%  ; % Prob (Sea) = 30%

% Prob (Air) = Remaining ie 100% - 50% - 30% = 20%

Prob (Land highway) = 40% of land = 40% of 50% = 20%

Prob (Land rail) = remaining ie 60% of land = 60% of 50% = 30%

Pr (Damage by Land) = 10% of rail + 5% of rail = 10% of 20% + 5% of 30% = 2% + 1.5% = 3.5%

Prob (Damage by Sea) = 6% of sea = 6% of 30% = 1.8%

Prob (Damage by Air) = 2% of air = 2% of 20% = 0.4%

Total Prob (Damage) =  3.5%  + 1.8% + 0.4%  

= 5.7%

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