Solve the following:
a) 2(5x – 3) = 24
b) 5(2x + 1) = 50​

Answers

Answer 1

Answer:

x = 3 and x = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = [tex]\frac{9}{2}[/tex]


Related Questions

What is the sum of the measures of the interior angles of a 7-gon?

Answers

Answer:

900°

Step-by-step explanation:

What is the sum of the measures of the interior angles of a 7-gon?

The formula to measure the interior angles of a polygon

= (n- 2) × 180 °

Where,

n = number of sides

We are given 7 - gon

This means it has 7 sides = Heptagon

Hence,

The measure of the interior angle is given as:

(7 - 2) × 180°

= 5 × 180°

= 900°

The sum of the interior angles of a 7-gon is 900°

2÷2=????? Hurry
ppls help hurryy6yyyyyyyyyyyy6yyyyyyyy6yyyyy​

Answers

Answer:

2÷2=1

Step-by-step explanation:

That's the answer

Answer:

2÷2=1

Step-by-step explanation:

2 divides by 2 = 1

that's the answer

Which of the following shapes are rectangles? Choose two answers!!!! Please helpppp !!!!!!!!!!!!!!

Answers

Answer:

A&D

Step-by-step explanation:

Answer:

A. and C.

Step-by-step explanation:

because 2, 2 sides are equal of four line boxes

please I BEG YOU! Find the ordered pair (x,y) if x+y=(5-x)+(5-y), x-y=(x-1)+(y-1).

Answers

Answer:

x=4, y=1

I think its that

Step-by-step explanation:

I need number 7 and 9 please show work if you can​

Answers

Answer:. sum of interior angles:

Heptagon: 900°

14gon 2160°

Step-by-step explanation: Divide 360 by the number of sides to get the measure of the average or regular central angle (same as an exterior angle)

360/7 = 51.43 360/14 = 25.7.

Subtract from 180 to find the interior angle.

180 - 51.43 = 128.57

180 - 25.7 = 154.3

Multiply the measure of the interior angle by the number of sides to find the sum of the interior angles.

128.57× 7 = 900

154.3 × 14 = 2160

Solve the following quadratic equation by rearranging and then factorising x^2 + 3x - 15 = 2x - 13

Answers

Step-by-step explanation:

x² + 3x - 15 = 2x - 13

x² + x - 2 = 0

(x + 2)(x - 1) = 0

By zero product rule, (x + 2) = 0 or (x - 1) = 0.

Hence x = -2 or x = 1.

Answer:

x = -2   & x = 1

Step-by-step explanation:

x^2 + 3x - 15 = 2x - 13 so you takeaway 2x and add 13 to the other side to get x^2 + x - 2 = 0

(x+2)(x-1) = 0 find factors of -2 that get you x

(x+2) = 0 so x = -2       (x-1) = 0  so x = 1

Which triangles are similar?
123
13
112
670
0
5
Triangle A
36
139
15
28
B
17
670
15
Triangle c
Triangle B

Answers

Answer:

Triangle A and C

Step-by-step explanation:

Because sum of the angles in triangle A=179 and also sum of angles in triangle C=179

To factor the expression 3x2 – 9x, Caleb found the GCF as shown. List the factors: 3x2 = 3 • x • x 9x = 3 • 3 • x GCF = 3 • 3 • x • x = 9x2 What is Caleb’s error? Caleb factored 3x2 incorrectly. Caleb factored 9x incorrectly. Caleb found the product of all factors, not just the ones common to each term. Caleb did not make an error.

Answers

Answer:

Caleb found the product of all factors, not just the ones common to each term.

Step-by-step explanation:

answer

Caleb found the product of all factors, not just the ones common to each term. Then the correct option is C.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ 3x² – 9x

The factor of 3x² will be 3 · x · x.

The factor of 9x will be 3 · 3 · x.

GCF = 3 • 3 • x • x = 9x²

Caleb found the product of all factors, not just the ones common to each term.

Then the correct option is C.

More about the factorization link is given below.

https://brainly.com/question/6810544

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A milk truck delivers 457 dozen gallons of milk to stores in 1 day. Write and solve an equation to find ​g, the number of gallons of milk the milk truck delivers in 1 day I don't get it help!

Answers

Answer:

5484 gallons

Step-by-step explanation:

Given that:

Delivery in 1 day = 457 dozen gallons

g = number of gallons delivered on that day

Recall :

1 dozen = 12

Therefore, the number of gallons delivered in 1 day :

457 gallons * 12 = 5484 gallons

What is the equation of the line that passes through the point (-6, 6) and has an
undefined slope?

Answers

X= -6
A vertical line has an undefined slope

Answer:

x = -6

Step-by-step explanation:

undefined slope is always an x = line

so just do x = whatever x is

hope this helps <3

Which 3 cards on the bottom are the reasons?

Answers

Answer:

Attachment

Step-by-step explanation:

please help me with this

Answers

Answer:

(48,15), (63,39), (13,25), (71,52), (28,52)

Step-by-step explanation:

an ordered pair is pretty much an x that goes with a y

(48,15)
(63,39)
(13,25)
(71,52)
(28,52)

what's the answer please​

Answers

THIS IS NOT THE ANSWER, IT'S AN EXAMPLE!!

(You didn't show the numbers that were given for me to answer this. BUT in the example, it shows you how to solve it. Just replace the numbers I put with the ones you were given. If you want me to solve it still, please comment the numbers on this for the answer)

Example; First, write the formula.

A=bh

Next, substitute in the values you have been given.

A=6×2

Then, do the multiplication.

A=12

The answer is 12 sq. cm.

what is 9.76 with 8% tax

Answers

Its $10.54 yeshgegstegegeysysgs i wrote that because it needs "20 characters or something"

An angle measures 3.8° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer: 41.2 degrees

Step-by-step explanation:

Complementary angles are angles that add to 90 degrees, so if they were equal, they would be 45 and 45, but since one is 3.8 more, it is 45+3.8 = 48.8 and the other, to add to 90 degrees is 90-48.8 = 41.2

35 - 21 + 6m write a equivalent expression for this

Answers

Answer:

6m+14

Step-by-step explanation:

[tex]35 - 21 + 6m[/tex]

Simplify : Subtract

[tex]35 - 21 = 14 \\ 14 + 6m \\ 6m + 14[/tex]

please help me plss


Which expression is equivalent to five ninths?


( A ) 5 ÷ 9


( B ) 9 ÷ 5


( C ) 5 − 9


( D ) 9 − 5

Answers

Answer:

A) 5÷9

Step-by-step explanation:

As, 5 is a whole number

And when the number ends with "ths" it is always the denominator

So here it is ninths so 9 will be in the denominator

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WILL GIVE BRAINLIEST:)PLSSS PLSSSSS PLZ HELPPP PLZZZ PLS HELP ME!!! WILL GIVE BRAINLIESTT
HELP WITH BOTHHH PLZZZ

Answers

Answer:

I think The White one is 3.61 and the purple is 10....

Step-by-step explanation:

we just divide the shapes into separate and find the area of each separate shape

Translate the following into an algebraic expression: "five less than the product of 7 and
the square root of a number" can be written as:
05-713
o 5 - 70
O TX-15
073-5

Answers

Answer:

7√x - 5

Step-by-step explanation:

Let the number be x

The product of 7 and  the square root of a number is expressed as;

7 * √x

= 7√x

five less than the product of 7 and  the square root of a number will be expressed as;

7√x - 5

Hence the required expression is 7√x - 5

There is a rope running from the top of a flagpole to a hook in the ground. The flagpole is 21
feet high, and the hook is 20 feet from its base. How long is the rope?

Answers

i’m confused because you’re saying the hook is in the ground but it’s 20 feet from the base?

Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willie spent $116 on 12 daylilies and 4 pots of ivy. Anjali spent $60 on 6 daylilies and 3 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy

Answers

Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2

Step-by-step explanation:

Step 1

let day lilies be rep as d

and ivy be represented as i

So that The expression for what Willie spent on  12 day lilies and 4 pots of ivy = $116 be

12 d+ 4i = 116 ---- equation 1

and for Anjali spending  $60 on 6 day lilies and 3 pots of ivy be

6d+ 3i = $60------ equation 2

Step 2 --- Solving

 12 d+ 4i = 116 ---- equation 1

6d+ 3i = $60------ equation 2

Multiply equation 2 by (2) and subtracting equation 1  from it

12d+ 6i= 120

--12 d+ 4i = 116

2 i= 4

i = 4/2 = 2

TO find d, putting the value of i = 2 in equation 1 and solving

12d+ 4(2) = 116

12d= 116-8

12d= 108

d= 108/12= 9

Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2

how does algebra work im not very good at it

Answers

It doesn’t work you simply make assumptions and trust what an old pale man tells you to do due to our failing school system hierarchy taht damages our mental capabilities

PLEASE HELP ITS DUE IN A FEW MINUTES

Answers

1. a+3a+4b=5b
2. a+3a=5b-4b
3. 4a=5b-4b
4. 4a=b
a=1/4b
(I think 1/4b is the answer) hope this helps :)

Answer:

a=5b-3a-4b

Step-by-step explanation:

We first need to move all terms that do not contain a to the right side of the equation. We cancel terms on the left side by adding -4b to both sides of the equation. a+4b-4b=5b-3a-4b

In ΔTUV, the measure of ∠V=90°, VT = 45 feet, and TU = 90 feet. Find the measure of ∠T to the nearest degree.

Answers

Answer:

60 on delta math

Answer:

60

Step-by-step explanation:

delta math answer

PLEASE PLEASE PLEASE HELP I NEED THIS BY 8:00pm!


Billy and Tom are out to dinner. Their bill comes to a total of $100. They have a 15% off coupon but tax and tip must also be included. The tax is 6% and is applied before the 20% tip. If Billy and Tom want to split the bill, how much will they each have to pay?

1. How much is their bill after the coupon has been applied?
2. With the coupon applied, what is their new total (including the tax)?
3. With their new total, Billy and Tom can now determine the tip for their server. What is the final total, including the tip?
4. What will Billy and Tom each have to pay to split the bill evenly?

Please answer labeled with numbers! thankyou!

Answers

Answer:

1. $85

2. $90.10

3.$108.12

4.$54.06

Step-by-step explanation:

100-15=85 (15% of 100 is 15)

6 percent of 85 is 5.10. So 85 + 5.10=90.10

20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12

Now divide by 2 to get how much they each will pay 108.12/2 = 54.06

10 builders can build a house in 20 days. How many builders
will you need build the house in 10 days?

Answers

Answer:

20 builders

Step-by-step explanation:

Answer: 20 builders.

Step-by-step explanation: For 10 builders to build a house in 20 days, the ratio is 1:2. For builders to build a house in 10 days, the ratio is x:10. You then cross multiply 1:2 and x:10. Then x=20 so 20 builders.

Do these pairs of values (x and y) represent two quantities that are
proportional?

A. No, because not all of the pairs represent the same ratio.

B. Yes, because the ratios
2/5 and 6/15 are equal.

C. No, because the y-values are not increasing at a constant rate.

D. Yes, because the ratios are all positive.

Answers

Answer:

A. No, because not all of the pairs represent the same ratio

The graph of the system of equations
x + 2y = 8
3x + 6y = 13
will give:
A. parallel lines
B.
lines that coincide
C.
perpendicular lines
D.
none of these

Answers

Answer:

A. parallel lines

You can also use the app desmos to help you graph equations.

Lines AB, CD, and LK intersect as shown in the diagram . Find M

Answers

the last one is the answer

The measurement of ∠ CSK = 110.2°

What is Parallel line?

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given that Lines AB, CD, and LK intersects at R and S respectively,

m∠LRB = (3x - 2)° and m∠RSC = (2x - 5)

m∠LRB = m∠CSK  → (Alternate exterior angles)

m∠CSK + m∠RSC = 180°  → (Linear pair angles)

Therefore, m∠LRB + m∠RSC = 180°

(3x - 2)° + (2x - 5) =  180°

5x - 7 = 180°

5x = 187°

x = 37.4°

So, m∠CSK =  (3x - 2)°

(3x - 2)° = 3*37.4 - 2

m∠CSK = 110.2°

Hence, The measurement of ∠ CSK = 110.2°

For more references on Parallel lines, click;

https://brainly.com/question/16701300

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ASAP NOW AND YOULL GET 20 and ILL ANSWER ONE OF URS

Answers

Answer:

its the second option.

Step-by-step explanation:

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