5(a+3)=8a
How can I solve this?

Answers

Answer 1
Step 1: Simplify both sides of the equation.

5(a+3)=8a

(5)(a)+(5)(3)=8a(Distribute)

5a+15=8a

Step 2: Subtract 8a from both sides.

5a+15−8a=8a−8a

−3a+15=0

Step 3: Subtract 15 from both sides.

−3a+15−15=0−15

−3a=−15

Step 4: Divide both sides by -3.

−3a−3=−15−3

a=5

Answer 2

Step-by-step explanation:

Simplify the left side of the equation using the distributive property.

5(a+3) = 5*a + 5*3 = 5a + 15


Now the equation looks like this: 5a + 15 = 8a

Next we want to put all the variables on the same side.

In this case, the easiest way to do this is subtract 5a from both sides.

5a + 15 - 5a = 8a - 5a

15 = 3a

In order to isolate a, divide both sides by 3

15/3 = 3a/3

5 = a

Answer: a = 5

Related Questions

PROVE THE base angles of an isosceles triangle are congruent

Answers

you could use the isosceles triangle theorems. if two sides of a triangle are congruent, then then angles opposite those sides are congruent. so if the two sides of the triangle are congruent (which they should be if it’s an isosceles triangle) then the isosceles triangle theorem proves that the base angles are congruent

a mental alloy weighing 4mg and containing 20% iron is melted and mixed with 12mg of a different alloy which contains 40% iron. What percent of the resulting alloy is iron?

Answers

Answer:

60%

Step-by-step explanation:

Add both of the results

Can some one help me with is question?
You want to determine your speed running across the room. What is one piece of data you need?

A) The distance you run
B) When you start your stopwatch
C) How big each step is
D) How fast you are moving
I know its not C)

Answers

Answer:

D) How fast you are moving

While all the others are useful information (except C), you are trying to solve for your speed, or mph. How fast you are moving is also solved using mph (or something like it).

speed = mph = how fast you are moving ∴ speed = how fast you are moving

~

Answer:

Choice A

Step-by-step explanation:

You need the distance and the time, which are D and T respectively. The speed or rate is R = D/T. You divide the distance over the time. Example: if run 10 miles in 2 hours, then your speed is R = D/T = 10/2 = 5 mph.

Choice A is correct because we need the distance.

Choice B is close to knowing the time T, but we would need to know the duration and not when the stopwatch was clicked on. In other words, we need to know the difference in when it was started and stopped. Simply knowing the starting point isn't enough. We can cross this off the list.

Choice C is close to what choice A is saying, but choice A is more accurate. We can cross this off the list.

Choice D is what we want to know. If we know how fast we're moving, then there's no need to calculate the speed. So we can cross choice D off the list as well.

there are 46 second graders who play softball. there are 35 second graders who play soccer.how many more second graders play softball than play soccer

Answers

Answer:11 more students


Step-by-step explanation:we do 46 minus 35 and we get 11



Answer: There are 11 more second graders who play softball


Step-by-step explanation:

1)make a equation

46-35

2)solve

11

3)answer

There are 11 more second graders


using laws of exponents , i^3=(i^2)i

Answers

Answer:

its -i

Step-by-step explanation: just did the assignment

In the given case we can conclude that Using the laws of exponents, we can simplify i³ as 1

The laws of exponents, also known as the rules of exponents, are a set of fundamental mathematical principles that govern the manipulation and simplification of expressions involving exponents. These rules are essential for working with exponential functions and equations. Here are the basic laws of exponents.

Using the laws of exponents, we can simplify i³ as follows:

i³ = i * i * i

Since we know that i² = -1, we can substitute -1 for i² in the expression:

i³ = -1 * i * i

Next, we can use the associative property of multiplication to rearrange the expression:

i³ = -1 * (i * i)

Finally, we recognize that (i * i) is equal to i² = -1, so the expression simplifies to:

i³ = -1 * -1

Therefore, i³ = 1.

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drinking 6 fluid ounces of milk provides 202.5 mg of calcium how many fluid ounces of milk are required to provide 52.5 mg of calcium round to the nearest tenth

Answers

Answer:

2 fluid ounces.

Step-by-step explanation:

202.5 divided by 6 = 33.75 (1 fluid ounce)


33.75 x 2 = 67.5.  (68)  







Can someone tell me if my answer is right and if not what the answer is?

Answers

You're really close. lol.

the slope of the line isn't negative though.

when the line is moving up to the right, it's positive.

the y-intercept is also positive. the y-intercept is where the line intercepts with the y-axis. if you look at the graph, you'll see that the line intercepts with the y-axis at +8 instead of -8

The answer is:

C. y = 1/4x + 8

Answer:

No that's wrong it is the third one.

Step-by-step explanation:

The line is on a positive slope so it has to be a positive x-value. Also, the y intersect is at positive 8.

[tex]\frac{y}{a} -b=\frac{y}{b} -a[/tex]
If a doesn't equals b
Find a, b, and y

Answers

[tex]Domain:\ a\neq0\ \wedge\ b\neq0\\\\\dfrac{y}{a}-b=\dfrac{y}{b}-a\qquad\text{multiply both sides by ab}\\\\by-ab^2=ay-a^2b\qquad\text{add}\ ab^2\ \text{to both sides}\\\\by=ay+ab^2-a^2b\qquad\text{subtract}\ ay\ \text{from both sides}\\\\by-ay=ab^2-a^2b\\\\(b-a)y=ab(b-a)\qquad\text{divide both sides by}\ (a-b)\neq0\\\\y=ab\\\\Answer:\ a\in\mathbb{R}-\{0\},\ b\in\mathbb{R}-\{0\},\ a\neq b,\ y=ab\\\\Example:\\a=2,\ b=3\to y=(2)(3)=6\\\\substitute\ to\ the\ equation:\\\\L_s=\dfrac{6}{2}-3=3-3=0\\R_s=\dfrac{6}{3}-2=2-2=0\\\\L_s=R_s[/tex]

NEED CORRECT ANSWER NOWWW ASAP PLEASE SOMEONE HELPPP!!!!!

On a number line, what is the distance between -57 and 13?

Answers

Answer: 70 units

One way to find this answer is to get a very large number line (perhaps from -100 to 100; counting by 1s) and count out the number of spaces from -57 to 13. This method is impractical because it would take a long time.

A shorter method is to subtract the values and make the result positive. So we could say -57 - 13 = -70 which has an absolute value of 70. Or we can say 13 - (-57) = 13 + 57 = 70. Either way, the distance between the values on the number line is 70 units.

the area of a circle is 196 pi square inches. what is the exact length of the circle's radius?

Answers

Area of a circle:

[tex]A=\pi r^2[/tex]      "r" is the radius


Since you know [tex]A=196\pi[/tex] in², you can plug (196[tex]\pi[/tex]) for "A" in the equation

[tex]A=\pi r^2[/tex]

[tex]196\pi=\pi r^2[/tex]  Divide pi on both sides

196 = r²     Square root both sides

14 = r

The exact length of the circle's radius is 14 inches.

The formula to calculate the area (A) of a circle is given by:

[tex]A = π * r^2[/tex]

where "r" is the radius of the circle.

In this case, we are given that the area of the circle is 196π square inches. So we can set up the equation:

196π = π * [tex]r^2[/tex]

To find the radius (r), divide both sides of the equation by π:

[tex]r^2[/tex] = 196

Now, solve for the radius:

r = √196

r = 14

Therefore, the exact length of the circle's radius is 14 inches.

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Round 41,003 to the nearest hundred

Answers

Answer:

41000

Step-by-step explanation:

ten thousand thousand hundred tens ones.

4                              1          0            0        3

We are rounding to the nearest hundred  which is 0.  We look at the number to the right.  If it is 5 or above " give it a shove" or round up.  Since it is also a 0, we leave it alone.

41000

Answer:

41000

Step-by-step explanation:

trust me

Complex root of x^2+3x+9=0

Answers

[tex]\text{Quadratic formula}[/tex]

[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}[/tex]

-----------------------------------------------------------------------

[tex]x^2+3x+9=0\\\\a=1;\ b=3;\ c=9\\\\\Delta=3^2-4(1)(9)=9-36=-27\\\\\sqrt\Delta=\sqrt{-27}=\sqrt{(27)(-1)}=\sqrt{27}\cdot\sqrt{-1}=\sqrt{9\cdot3}i=\sqrt9\cdot\sqrt3i=3\sqrt3i[/tex]

[tex]x_1=\dfrac{-3-3\sqrt3i}{2(1)}=-\dfrac{3}{2}-\dfrac{3\sqrt3}{2}i\\\\x_2=\dfrac{-3+3\sqrt3i}{2(1)}=-\dfrac{3}{2}+\dfrac{3\sqrt3}{2}i[/tex]


[tex]i=\sqrt{-1}[/tex]

Write the following expression as a function of a positive acute angle. cos 215

Answers

Answer:

- cos 35°

Step-by-step explanation:

215° is in the third quadrant where cos is negative

cos 215° = - cos( 215 - 180)° = - cos 35°


Answer:

- cos 35°

Step-by-step explanation:

215° is in the third quadrant in which cos is negative

cos 215°

cos(α - 180°) = - cos theta

-cos( 215 - 180)°

- cos 35°

hope it helps:)

mark brainliest!

What is the volume of the cylinder to the nearest whole number?

A.) 1,005 m³

B.) 20,096 m³

C.) 16,077 m³

D.) 4,019 m³

Answers

if the cylinder has a diameter of 8, its radius is half that, or 4.


[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=20 \end{cases}\implies V=\pi (4)^2(20)\implies V=320\pi \\\\\\ V\approx 1005.3096\implies V=\stackrel{rounded}{1005}[/tex]

The formula of a cylinder:

[tex]V=\pi r^2H[/tex]

We have the diameter d = 8m and height H = 20m.

d = 2r therefore r = 8m : 2 = 4m. Substitute:

[tex]V=\pi(4^2)(20)=\pi(16)(20)=320\pi\ m^3\approx 320\cdot3.14\approx1005m^3[/tex]

Answer: A.) 1,005 m³

part 2!!!!!!!!!!!!!!!

Answers

Answer:

Down below,

Step-by-step explanation:

First the 2nd question,

In 3 hours, Jamal hiked 6 miles, while Rubi hiked 7.5 miles. For a ratio, you could do 2.5:2 as Rubi hiked 2.5miles an hour while Jamal hiked 2 miles an hour.

For the 3rd question,

Rubi had a greater speed as he walked .5 miles an hour faster, as shown in the ratio above.

Hope i could help you, i would appreciate if you gave me brainliest, have a good day

What does a credit counselor do? A. Co-signs a loan with you B. Helps you make a plan to resolve financial issues C. Convinces your creditors to reduce your debt D. Collects debts Please select the best answer from the choices provided

Answers

Answer:

B. Helps you make a plan to resolve financial issues.

Step-by-step explanation:

Because a credit counselor 'counsels' you on your credit.

Answer:  B. securities I hope this helps

Step-by-step explanation:

999

Please help and fast thanks

Answers

Answer:

im pretty sure thats B

Step-by-step explanation:


b I think because why nootttttttttttttttttttttttttt

Write the equation 'x-intercept = 4, y-intercept = -1' in slope-intercept form.

Answers

Answer:

y = 1/4x-1

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b

m is the slope and b is the y intercept

but we do not know the slope y know the x intercept

(4,0 )

and  the y intercept

( 0,-1)

We can calculate the slope  using these points

m = (y2-y1)/ (x2-x1)

   = (-1-0)/(0-4)

    = -1/-4

    = 1/4

Now we can put the slope = 1/4 and the y intercept =-1 into the formula

y = 1/4x-1

y=1/4x-1 I think is the answer to that question

find the measures of two complementary angles with measures (20w+15)° and (10w)°

Answers

let's recall, complementary angles add  up to 90°, therefore


[tex]\bf (20w+15)+(10w)=90\implies 30w+15=90\implies 30w=75 \\\\\\ w=\cfrac{75}{30}\implies w=\cfrac{5}{2} \\\\[-0.35em] ~\dotfill\\\\ 20w+15\implies 20\left( \cfrac{5}{2} \right)+15\implies 50+15\implies \blacktriangleright 65 \blacktriangleleft \\\\\\ 10w\implies 10\left( \cfrac{5}{2} \right)\implies \blacktriangleright 25 \blacktriangleleft[/tex]

Five years ago, one share of stock was worth $28.00. Today, one share of the stock is worth $62.00.What was the percent of change?



25 POINTS !!!

Answers

Answer:

44%

Step-by-step explanation:

Here's the equation: Account= principle x time x  interest rate. In this problem, it would be $62 = $28 times 5 times X. $62=140x. 0.44. 44%.

What is the distance between -4 and 6 on a number line

Answers

Answer:

10 you just add them and or count down


The distance between the two variable in the number line is = 10

What is a number line?

A number line is a horizontal line that includes both negative and positive numbers with equally spread increments. The middle of the line is usually zero which marks the starting point of other numbers.

The distance between two numbers in a number line is the sum of their absolute value;

[-4] + [6] = 4 +6 = 10

Therefore, the distance between the two variable in the number line is =10

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Find the 65th term of the arithmetic sequence -30, -41, -52, ...

Answers

a1 + b (n-1)
-30 + -11 (65-1)
-30 + -11 (64)
-30+ -704
= -734

In an arithmetic sequence, the difference between one term and the next is constant.

The 65th term of the arithmetic sequence is -734

Given the following arithmetic sequence:

-30, -41, -52 The standard formula for the nth term of an arithmetic sequence is given as

a(n) = a + (n - 1)d

Where a = first term

            n = number of term

             d = common difference

Let find the common difference

Common difference = second term - first termCommon difference

= -41 - (-30)

Common difference =  -41 + 30

Common difference = -11

Common difference = -52 - (-41)

Common difference = -52 + 41

Common difference = -11

Hence, the common difference

= -11

let:

a = -30n

= 65d = -11a(65)

= -30 + (65 - 1) * -11a(65)

= -30 + (64)*-11a(65)

= -30 + (-704)a(65)

= -30 - 704a(65)

= -734

Hence, the 65th term of the arithmetic sequence is -734

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calculate the slope of the line between the point (-3,2) and (5,0)
PLZ HELP I NEED TO FINISH IN A FEW MINUTES IM REALLY CONFUSED

Answers

Answer:

The slope of the line is -1/4

Step-by-step explanation:

To find the slope, we use the formula

m = (y2-y1)/(x2-x1)


We have the points  (-3,2) and (5,0)

  = (0-2)/(5--3)

  = (-2)/(5+3)

  =-2/8

 = -1/4

The slope of the line is -1/4

BRAINLIEST ANSWER TO FIRST ANSWERER!!!!


In DEF sin D= 24/26 what is cos E
Answers in pic

Answers

Answer:

B) 24/26

Step-by-step explanation:

The ratio of sine is opposite/hypotenuse.  This means the side opposite angle D, EF, has length 24 and the hypotenuse, DE, has length 26.

The ratio of cosine is adjacent/hypotenuse.  For cos E, we want the side adjacent to E (EF) and the hypotenuse (DE).  Using these, we have the ratio 24/26.

In DEF, sin D= 24/26  , then cos E = 24/ 26. Option B) 24/26 is correct.

What are trigonometric ratios ?

Trigonometric ratios are defined as the sides and angles of a right-angled triangle are deal with in Trigonometry.

We have,

In DEF sin D= 24/26

Using Pythagoras Theorem,

[tex]P^2 + B^2 = H^2\\\\EF^2 +FD^2 = EF^2\\\\24^2 + FD^2 = 26^2\\\\FD^2 = 676 - 576\\\\FD^2 = 100\\\\FD = 10[/tex]

But, cos E = EF / ED

cos E = 24/ 26

Hence, we can say that In DEF, sin D= 24/26  , then cos E = 24/ 26.

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how would you do this?

Answers

You can't:)
destroy the paper
(*´・v・)ε/̵͇̿̿/'̿̿ ̿ ̿ ̿ ̿ ̿
Wouldn't it just be 6?

One rectangle measures 2 units by 7 units. A second rectangle measures 11 units by 37 units. Are these two figures scaled versions of each other? If so, find the scale factor. If not, briefly explain why. (No picture involved with this)

Answers

Answer:

see below   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

does 2 by 7 = 11 by 37

11/2 = 5.5

7 x 5.5 = 38.5

No, these two figures are not scaled versions of each other.  11 is 5.5 times larger than 2 which means to be a scaled version we would multiply 7 by 5.5.  

7 x 5.5 = 38.5

In order to be a scaled version the second recangle would need to be 11 by 38.5

The second rectangle is a scaled version of the first rectangle with a scale factor of 1/5.5.

What is a scale image?

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

To determine if two figures are scaled versions of each other, we need to compare their corresponding side lengths.

The ratio of the corresponding side lengths is the same for both figures, then they have scaled versions of each other.

As per the question, the first rectangle has sides with lengths 2 and 7 units, while the second rectangle has sides with lengths 11 and 37 units.

So, the ratio of the corresponding side lengths is 2/11 = 7/37.

The scale factor is the ratio of the corresponding side lengths.

In this case, the scale factor is 2/11 = 1/5.5.

Therefore, the second rectangle is a scaled version of the first rectangle with a scale factor of 1/5.5.

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9x^2-6x+8=0 what is the fifth step in solving this equation

Answers

Answer:

write the equation as a binomial

Step-by-step explanation:


The variables y and x have a proportional relationship and y=7 when x=2 what is the value of x when y=21

Answers

Answer:

x=6

Step-by-step explanation:

Since y=7 when x=2, we can from here simplify and see that y=3.5 when x=1. If y=21, then we multiply 7 by 3 which is 21, and since we must keep a proportion, we must multiply 2 by 3 and get 6 as the answer.


Really easy question and so many points!!!

Answers

Answer:

b.) 60

Step-by-step explanation:

M = 29      N = 32

32+29 = 61

The closest option to 61 is 60

Answer:

b

Step-by-step explanation:

A car dealership buys a car from a factory for $20,000. If the car dealership marks up the price of the car by 50% before selling it, what is the final sale price?

Answers

Answer:

The final sale price is $30,000.

Step-by-step explanation:

50% of $20,000 is $10,000.

$20,000+$10,000=$30,000.

Final answer:

To find the final sale price with a 50% markup on the original $20,000 price, add $10,000 (which is 50% of $20,000) to get a final sale price of $30,000.

Explanation:

To calculate the final sale price of a car after a 50% markup, we take the original purchase price of the car and add half of that price to it. If the car dealership buys a car for $20,000, a 50% markup would be half of $20,000, which is $10,000. So, the final sale price would be:

$20,000 (original price) + $10,000 (50% of $20,000) = $30,000.

Hence, the car dealership would sell the car for $30,000 after a 50% markup.

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