Mathematics High School

solve 3(b-5) = 27
solve 2x/3 = 6
solve 2(n + 5) = 15
solve a + a + a + a = 24
solve 4c + 6 = 18

please answer with an explanation
50 points given with explanation

Answers

Answer 1

Step-by-step explanation:

♤ 3(b-5) = 27

=> 3b - 15 = 27

=> 3b = 27 + 15 = 42

=> b = 42/3

=> b = 14 (Ans)

♤ 2x/3 = 6

=> 2x = 6 × 3 = 18

=> x = 18/2

=> x = 9 (Ans)

♤ 2(n + 5) = 15

=> 2n + 10 = 15

=> 2n = 15 - 10 = 5

=> n = 5/2

=> n = 2.5 (Ans)

♤ a + a + a + a = 24

=> 4a = 24

=> a = 24/4

=> a = 6 (Ans)

♤ 4c + 6 = 18

=> 4c = 18 - 6 = 12

=> c = 12/4

=> c = 3 (Ans)

Related Questions

michael and his brother allen played basketball basketball each basket was worth 5 points michale scored 35 points allen scored 20 points what is the total number of baskets made during this game

Answers

11 baskets. 35+20=55. 55/5= 11

Lines k and n intersect on the y-axis
a. What is the equation of line k?
(-2,6) 6-
(4,5)
b. What is the equation of line j?
710
m
(5.2)
2-
109
(-3,-1)
a. The equation of line k in slope-intercept form is
(Use integers or fractions for any numbers in the equation. Simplify your answer.)

Answers

a) The equation of line k is:

[tex]y = -\frac{202}{167}x + \frac{598}{167}[/tex]

b) The equation of line j is:

[tex]y = \frac{167}{202}x + \frac{1546}{202}[/tex]

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change.b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

[tex]\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}[/tex]

In which [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of k and m.

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

[tex]m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}[/tex]

The tangent of 109 degrees is [tex]\tan{109^{\circ}} = -\frac{29}{10}[/tex]Thus, the slope of line m is found solving the following equation:

[tex]\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}[/tex]

[tex]-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}[/tex]

[tex]m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2[/tex]

[tex]m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}[/tex]

[tex]\frac{167m_2}{80} = \frac{-202}{80}[/tex]

[tex]m_2 = -\frac{202}{167}[/tex]

Thus:

[tex]y = -\frac{202}{167}x + b[/tex]

It goes through point (-2,6), that is, when [tex]x = -2, y = 6[/tex], and this is used to find b.

[tex]y = -\frac{202}{167}x + b[/tex]

[tex]6 = -\frac{202}{167}(-2) + b[/tex]

[tex]b = 6 - \frac{404}{167}[/tex]

[tex]b = \frac{6(167)-404}{167}[/tex]

[tex]b = \frac{598}{167}[/tex]

Thus. the equation of line k, in slope-intercept formula, is:

[tex]y = -\frac{202}{167}x + \frac{598}{167}[/tex]

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

[tex]-\frac{202}{167}m = -1[/tex]

[tex]m = \frac{167}{202}[/tex]

Then

[tex]y = \frac{167}{202}x + b[/tex]

Also goes through point (-2,6), thus:

[tex]6 = \frac{167}{202}(-2) + b[/tex]

[tex]b = \frac{(2)167 + 202(6)}{202}[/tex]

[tex]b = \frac{1546}{202}[/tex]

The equation of line j is:

[tex]y = \frac{167}{202}x + \frac{1546}{202}[/tex]

A similar problem is given at https://brainly.com/question/16302622

Please help me because I tried to solve it but it wasn’t correct

Answers

Answer:

irdk

Step-by-step explanation:

hi, please what's 4/5 - (-1/3) quick! I dont have that much time PLEASE

Answers

Answer:

17/15

Step-by-step explanation:

Solution:

[tex] \frac{4}{5} - ( - \frac{1}{3}) \\ = \frac{4}{5} + \frac{1}{3} \\ = \frac{12 + 5}{15} \\ = \frac{17}{15} \\ = 1 \frac{2}{15} [/tex]

What is the value of 4C9 ?

Answers

Answer:

the value is 126

Step-by-step explanation:

have a good day

Can someone help me do this

Answers

Answer:

71 degrees

Step-by-step explanation:

It is quite hard to see the question but I believe we are looking for the unknown angle E (correct me if I am wrong and I will revise my answer!)


Solve the simultaneous equations
5x - 4y = 19
x + 2y = 8

Answers

Answer:

x= 5 and y = 1.5

Step-by-step explanation:

5x -4y = 19

x + 2y = 8

let x = 8 - 2y...

5x - 4y = 19.......x = 8 -2y

5(8-2y) - 4y = 19

40 - 10y -4y= 19

40-14y = 19

-14y = 19-40

-14y = -21

y = 1.5

x = 8 - 2(1.5)

x = 8 - 3

x = 5

Thus, x is 5 and y is 1.5

Hope this helps!!!!

Please mark brainliest . PLEASE!!!!!!!!

20/48=40/48 which proportions is true?

Answers

Answer:

is it multiple choice what are the options??

There are many possible answers to this question, there is not enough information.

But I can figure this much.

20/48 = 40/48

[FALSE]

Mr. Wolfe wants to divide a 6th grade class of 40 students into equal groups. He wants the number of students in each group to be a prime number.

a. In how many different ways can Mr. Tindell divide the class?

b. How many students will be in each group?

Explain and Show your Work

Answers

Answer:

B

Step-by-step explanation:

there will be 10 students in 4 groups

Identify the range of the function shown in the graph.

Answers

Answer:

The answer is y ≥ 0

click on file! thank youuu!! <3​

Answers

Answer:

[tex]2(x+11y)[/tex]

Step-by-step explanation:

Rearrange:

[tex]10x-7x-x+13y+9y[/tex]

Subtract and Add:

[tex]2x+22y[/tex]

Simplify:

[tex]2(x+11y)[/tex]

Answer:

x + 11y

Step-by-step explanation:

Working in parts starting with x...

10x-7x = 3x

3x - x = 2x

Moving on to y...

13y + 9y = 22y

Put it together

2x + 22y

Simplify by dividing both by a common number ( in this case 2)

x + 11y

What is the GCF of 10890 and 15400?

Answers

Answer:

The Greates Common Factor (GCF) is:   2 x 5 x 11 = 110

10890:   2  335  111115400:   222  55711 GCF:   2    5  11 

110 is the GCF of 10890 and 15400.

What are Factors?

A number or algebraic expression that divides another number or expression evenly i.e., with no remainder.

GCF or Greatest Common factors is the set of numbers is the largest factor that all the numbers share.

Factors of 10890 = 1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,121,165....

Factors of 15400 = 1,2,4,5,7,8,10,11,14,20,22,25,28,35,40,44,50,55,56,70,77,88,100,110,140,154,175....

By observing the factors of both numbers 10890 and 15400.

110 is the greatest common factor of 10890 and 15400.

Therefore 110 is the GCF of 10890 and 15400.

To learn more on Factors click:

https://brainly.com/question/11444998

#SPJ2

I'll give you BRAINEST please help please plz​

Answers

The 2nd option does not represent a function.

A function is a relation in which no two ordered pairs have the same first component and different second components.

We need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)? 

In this case, the answer is no.  The input value of 1 goes with two output values, -1 and -5.   The same goes with the input value of 2, which also goes with two output values: -2 and -4.

It only takes one input value to associate with more than one output value to be invalid as a function.

I also did the Vertical Line Test to show why Option 2 is not a function. The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

However, the graph shows that the two vertical lines crossed the graphed twice (there are 2 points in each line). The graphed points failed the vertical line test. Therefore, Option 2 is NOT a function.

Please mark my answers as the Brainliest if you find my explanations helpful :)

Which of these is a line segment? PLS HELP

Answers

B is a line segment hope this helps

solve the following eqation: -8.2 + t/-2 = 1.7

Answers

Answer:

t = -19.8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

[tex]-8.2 + \frac{t}{-2} = 1.7[/tex] [tex]-8.2 - \frac{1}{2}t = 1.7[/tex] [tex]-\frac{1}{2}t - 8.2 = 1.7[/tex]

Step 2: Add 8.2 to both sides.

[tex]-\frac{1}{2}t - 8.2 + 8.2 = 1.7 + 8.2[/tex] [tex]-\frac{1}{2}t = 9.9[/tex]

Step 3: Multiply both sides by -2.

[tex]-\frac{1}{2}t * (-2)= 9.9 * (-2)[/tex] [tex]t = -19.8[/tex]

Please help me with this question is 8 grade question​

Answers

Answer:

a, -4.5

Step-by-step explanation: I should now I am in 10th grade math

help me pls brainliest shall be reward :( ​

Answers

The correct answer is D

Answer:

B

Step-by-step explanation:

A: Also could be written as 0-5: its a division.

B: Also could be written as -1(5+5). The final answer is -10 and its an addition of 5 and 5.

C: Its a multiplication

D: Similar to B, it could be written as 5-5=0. Its a division of 5 and 5.

Hope this helps! If you still have a question feel free to ask it in the comment section below!

Cheers!

AHH HELPPPP !!!!
-In the following diagram, two parallel lines are cut by a transversal. The measure of which angle is equal to the measure of angle 1 ?
a - angle 2
b - angle 3
c - angle 4
d - angle 6

Answers

Answer:

angle 4

Step-by-step explanation:

1 and 4 are vertical angles

∠1 = ∠4

This according to the vertical angle theorem

Hope this helps!!

SHOW ALL WORK : A metal bar has a length of 5.0 cm, a width of 3.0 cm, and a height of 1.0 cm. What volume of water, measured in deciliters, would this bar displace?

Answers

9514 1404 393

Answer:

  0.15 dL

Step-by-step explanation:

The volume of the bar is ...

  V = LWH

  V = (5 cm)(3 cm)(1 cm) = 15 cm³

1 dL = 100 cm³, so this volume is ...

  (15 cm³)(1 dL)/(100 cm³) = 0.15 dL

The bar will displace 0.15 deciliters.

Can someone please solve this

Answers

Answer:

20

Step-by-step explanation:

- Combine multiplied terms into a single fraction

- Eliminate redundant parentheses

- Multiply all terms by the same value to eliminate fraction denominators

Find the value of each expression. Then write an expression that has the same value, using addition 7 – (-3) 7 – 3 59 – (-1) -17 – (-6) of related numbers.

Answers

Answer:

7-(-3)=10

7-3=4

59-(-1)=60

-17-(-6)=(-11)

Step-by-step explanation:

In the photo !

Find the next two terms in the sequence 42,37,32,27

Answers

Answer:

22-17

Step-by-step explanation: the sequence is going by -5

you have 120 cows and 90% of them are female how many female cows do you have​

Answers

Answer: 108

Step-by-step explanation:

If 90% are female, that means that female = 90% of 120, or 90/100 x 120

90/100 x 120 = 108, meaning that there are 108 female cows.

please help me

no random links pls

Answers

0 is the answer zero

20 is 4/7 of what number?

Answers

Answer:

35

Step-by-step explanation:

Kristie needs 2.5 yards of fabric for bridesmaid dresses.
If she purchased 28.5 yards of fabric, how many complete
dresses would she make?

Answers

So it’s

The yards of fabric / how much fabric is needed to make a dress
So
28.5/2.5
=11.4
So 11 complete dresses

Help pls
Only number one
UWU

Answers

1)
First dot: mixed: 1 5/8 improper: 13/8 3 Second dot: mixed: 3/8 improper 27/8

2)
First dot: mixed: 1 5/6 improper: 11/6
Second: mixed: 2 1/6 improper: 13/6

*IS MY ANSWER CORRECT?!? IF NOT PLEASE TELL ME THE CORRECT ONE.*

[[ READ ATTACHMENTS ]]

Answers

Answer:

As I analysed it for me yes it is

does anyone know the answer to the question??? 5x+2=7x-4​

Answers

Hopefully this helps your math. You can copy it like this if you want, or can do “x-3”
The answer is:
I hope this helps you

I need help with this one please

Answers

Answer:

84 degrees

Step-by-step explanation:

i think so because if thats 48 then lki would also be 48 so subtract both 48s from 180 and u get 84 if im wrong im srry :)

The answer is 132. This is because angles JKN and LKN added together =180 so you would do 180-48=132
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