5a+2 =2 (4+a)
Simplifying
5a + 2 = 2(4 + a)
Reorder the terms:
2 + 5a = 2(4 + a)
2 + 5a = (4 * 2 + a * 2)
2 + 5a = (8 + 2a)
Solving
2 + 5a = 8 + 2a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2a' to each side of the equation.
2 + 5a + -2a = 8 + 2a + -2a
Combine like terms: 5a + -2a = 3a
2 + 3a = 8 + 2a + -2a
Combine like terms: 2a + -2a = 0
2 + 3a = 8 + 0
2 + 3a = 8
Add '-2' to each side of the equation.
2 + -2 + 3a = 8 + -2
Combine like terms: 2 + -2 = 0
0 + 3a = 8 + -2
3a = 8 + -2
Combine like terms: 8 + -2 = 6
3a = 6
Divide each side by '3'.
a = 2
Simplifying
a = 2
The distance between San Antonio and Houston is 190 miles. Nicholas and Rose each drove
2
5
of the total distance. If Charlie drove the rest of the distance, how many miles did Charlie drive?
The distance droved by Charlie is about 38 miles
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
The distance between San Antonio and Houston is 190 miles. Nicholas and Rose each drove 2/5 of the total distance.
Distance droved by Nicholas = Distance droved by rose = (2/5) * 190 = 76 miles
Distance droved by Charlie = 190 - 76 - 76 = 38 miles
The distance droved by Charlie is about 38 miles
Find out more on equation at: https://brainly.com/question/2972832
you got a bunch of apples. one third is rotten, one fourth is ripe. How much is left?
Answer:5/12
Step-by-step explanation:
1/3=4/12
1/4=3/12
=7/12
12/12-7/12=5/12
what is addition property of equality
Answer:
Additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
There were approximately 3 x 10^5 firefighters in the United States in 2012. The average salary of a firefighter was $45,000. About how much did all firefighters in the United States earn from their salary altogether in 2012? Express your answer using scientific notation
Given the number of firefighters and the average salary, the total salary altogehter is about $1.35 x 10^10
What is scientific notation?Scientific notation is used simplify large numbers into smaller numbers. In order to transform a number into a scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.
3 x 10^5 x 4.5^4 = 13.5 x 10^9
= 1.35 x 10^10
To learn more about scientific notation, please check: brainly.com/question/25334755
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made. (5 points) −5x − 25 = 78 Step 1: −5x − 25 − 25 = 78 − 25 Step 2: −5x = 53 Step 3:negative five times x over negative five = fifty-three over negative five Step 4: x = negative fifty-three over five Group of answer choices Step 1: She should have added 25 to each side. Step 1: She should have divided both sides by −5. Step 3: She should have divided both sides by −5. Step 3: She should have multiplied both sides by −5.
Answer:
x = -20.6
Step-by-step explanation:
Step 1: −5x − 25 − 25 = 78 − 25
Should be
Step 1: -5x-25+25=78+25
Step 2: -5x=103
Step 3: Divide both sides by -5: x = -20.6
Answer:
Option A. Step 1: She should have added 25 to each side
Step-by-step explanation:
I got it right on my quiz :)
PLZZZZ HELP! write the equation in standard form y=3/4x - 4
Answer:
3x-4y = 16
Step-by-step explanation:
2+4+2+ 6+4+5+4+6+3+2+2+1
Answer:
41
Step-by-step explanation:
2+4+2+ 6+4+5+4+6+3+2+2+1= 41
plz mark brainleist
[tex]\huge\boxed{41.}[/tex]
Given...
[tex]2+4+2+ 6+4+5+4+6+3+2+2+1=\boxed{?}[/tex]
Solution...[tex]\left[\begin{array}{ccc}2+4=6\\6+2=8\\8+6=14\\14+4=18\\18+5=23\\23+4=27\\27+6=33\\33+3=36\\36+2=38\\38+2=40\\40+1=40\end{array}\right][/tex]
Final answer...[tex]\huge\boxed{41.}[/tex]
[tex]\boxed{-----------------------------------}[/tex]
[tex]\boxed{Hope\;i\;helped!}\\\\\\\\\huge\boxed{Thanks,Plip.}[/tex]
Need help? Contact me in the future! I am an expert verified Brainly user!Proof of expert verified... See below!brainly.com/question/18189573
brainly.com/question/18187934
brainly.com/question/18130122
brainly.com/question/15993626
brainly.com/question/949861
brainly.com/question/18169685
brainly.com/question/18409039
brainly.com/question/18407068
brainly.com/question/18681048
Which inequality represents this sentence? Seven times four is greater than or equal to eight times three.
A. 7 • 4 ≥ 8 • 3
B. 7 • 4 ≤ 8 • 3
C. 7 • 4 < 8 • 3
D. 7 • 4 > 8 • 3
Step-by-step explanation:
Answer B
7 × 4=28
8×3=24
Thank me later
Part B
Describe two different ways you could find measure of ZCFD. What is the measure of
this angle? There are three parts to this question.
Answer:
b
Step-by-step explanation:
you aint got enough information
The sales tax in a major city is 6%. Find the total cost, including the tax charged on a purchase of 500$
Answer:
$530
Step-by-step explanation:
6% of 500 is 30. Add 500 and 30.
can i have some help
Answer:
£ 45.6
Step-by-step explanation:
Number of adults ⇒ 12
Number of children ⇒ 26
Total cost of tickets ⇒ £ 1804.80
Cost of an adult's ticket ⇒ £ 51.60
Cost of a ticket for child ⇒ ?
Let the cost of a ticket for child be x.
Therefore,
Total cost = cost of tickets for adults + cost of tickets for children
Total cost = (No. children × Cost of a ticket) + (No.adults × Cost of a ticket)
£ 1804.80 = 26x + 12 × £51.60
1804.80 = 26x + 619.2
1804.80 - 619.2 = 26x
1185.6 = 26x
Divide both sides by 26.
45.6 = x
So,
Cost of a ticket for child is £45.6
Step-by-step explanation:
12 x 51.60 you get the total cost for the adult tickets and all thats left is the total cost - adult ticket cost and then you get the child ticket wirth now all thats left is childs ticket cost % 26
I bought a sweater for 25% off and paid $30. What was the *original* price? Please explain.
well, the original price was "x", which oddly enough is the 100%, we also know that 25% off that is 30 bucks, so namely 100% - 25% = 75%, is 30 bucks, so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 30&75 \end{array}\implies \cfrac{x}{30}=\cfrac{100}{75}\implies \cfrac{x}{30}=\cfrac{4}{3} \\\\\\ 3x=120\implies x=\cfrac{120}{3}\implies x=40[/tex]
the image shows this famous mondrian painting. the rectangle in the top left is red, the one in the bottom left is blue and the one in the bottom right is yellow. the remaining ones are white. how many rectangles are the altogether in the painting?
The number of rectangles in the paintings shown is: 7 rectangles.
What is a Rectangle?A rectangle is a quadrilateral shape with four sides and four angles.
A rectangle has two opposite sides that are equal to each other and are parallel as well. Also, the interior angles formed by the sides are right angles.
Thus, from the paintings there are:
1 red rectangle4 white rectangles1 blue rectangle1 yellow rectangleTherefore, the number of rectangles in the paintings shown is: 7 rectangles.
Learn more about rectangles on:
https://brainly.com/question/166401
Which of the following expressions are equivalent to a x + y + z?
Answer:
A
Step-by-step explanation:
Addition Property of Equality
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
Proportional Relationships
Solve for X
Answer:
x=9/6
Step-by-step explanation:
[tex] \frac{20}{16 } = \frac{12}{x} [/tex]
12×16=192
192÷20=9.6
The value of a baseball card can be represented by the equation y = 3 x + 39, where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39
Answer:
the answer should be $39
Answer:
d) 39
Step-by-step explanation:
100 POINTS IF YOU CAN ANSWER THIS QUESTION WITH STEPS:
30% of the final exam
30% of 363/10(36)108/1010.870% of final exam:-
70% of 367/10(36)258/1025.8Mangojuicecosts$8.50perquartandbananajuicecosts$6.20perquart.Tyler wants to make a mixture of mange and banana juice that sells for $5.50 per quart. How many quarts "q" of mango juice should he mix with 4 quarts of banana juice to make mango-banana juice at that price? Which equation below represents the situation?
Answer:
There is no possible combination that will result in mango-banana juice that costs $5.50 per quart if its two ingredients cost $8.50 and $6.20 per quart.
Step-by-step explanation:
the equation you need to solve is:
let M = quantity of mango juice
$8.50M + (4 x $6.20) = (4 x $5.50) + $5.50M
$8.50M + $24.80 = $22 + $5.50M
$24.80 - $22 = $5.50M - $8.50M
$2.80 = -$3M
M = $2.80 / -$3 = -0.933 ⇒ the quantity of mango juice cannot be negative
The height h (in feet) of an object dropped from a ledge after x seconds can be modeled by h(x)=−16x2+4. The object is dropped again from a different starting height so that it hits the ground 2 seconds later. Write a function g that models the path of the object the second time it is dropped.
Answer:
g(x) = - 16x² + 100
Step-by-step explanation:
Given the model:
First drop:
h(x) = - 16x² + 4
Second drop hits the ground 2 seconds later
Function g(x) to model the second drop:
-16t² + V0t + h0
h(x) = - 16x² + 4
0 = - 16x² + 4
16x² = 4
x² = 4/16
x² = 1/4
x = 1/2
2 seconds later :
X = 1/2 + 2
x = 2.5
0 = - 16(2.5)² + 0 + h0
0 = - 100 + h0
h0 = 100
Hence,
g(x) = - 16x² + 100
Find the values of < and y.
(8x + 7)
5yº
(7y -- 34)
= (2x - 4)^
Answer:
x = 11
y = 17
Step-by-step explanation:
We know that opposite angles (or vertical angles) are equal.
So
8x + 7 = 9x - 4
Subtract 8x from both sides of the equation
8x - 8x + 7 = 9x - 8x - 4
7 = x - 4
Add 4 to both sides of the equation
7 + 4 = x - 4 + 4
11 = x
Looking at the other 2 angles,
5y = 7y - 34
Subtract 7 y from both sides of the equation
5y - 7y = 7y - 7y - 34
-2y = -34
Divide both sides by -2
-2y/-2 = -34/-2
y = 17
Answer:
Step-by-step explanation:
Vertically opposite angles are equal.
8x + 7 = 9x - 4 {Add 4 to both sides}
8x + 7 + 4 = 9x
8x + 11 = 9x {Subtract 8x from both sides}
11 = 9x - 8x
x = 11
7y - 34 = 5y {Add 34 to both sides}
7y = 5y + 34 {Subtract 5y form both sides}
7y - 5y = 34
2y = 34 {Divide both sides by 2
y = 34/2
y =17
4. An integer between -5 and -6
Answer:
The integers are the whole numbers, both positive and negative. The next integer after 5 is 6, so there is no integer between them. Since 5 and 6 are consecutive numbers, it is not possible to squeeze another integer between them. So, the answer is none.
Step-by-step explanation:
please mark me brainliest
Hey there!
-5 between (-6)
= -5 - (-6)
= -5 + 6
= 1
Therefore, your answer is: 1
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the value of x ?
5.5
9
11.5
13
Answer:
itz 5.5
Step-by-step explanation:
i just got it right
What is y = x 2 + 10 x + 28 in vertex form?
Answer:
=12x+28
Step-by-step explanation:
Write the point-slope form of the equation of the line that passes through the point (-1,5) and has a slope of -1. Include
your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y= - x + 4
Step-by-step explanation:
The point-slope form of the equation of a line is:
y= m ( x - h )+ k
Where m is the slope and (h,k) is a point through which the line passes.
The slope of the line is m=-1 and it passes through (-1,5), thus the equation of the line is:
y=(-1) ( x - (-1) ) + 5
Operating:
y= - ( x + 1 ) + 5
y= - x - 1 + 5
Simplifying:
y= - x + 4
julia’s dad bought a car for $15,000. the purchase price was seven-eighths of its retail price.
what is the decimal value of the discount given to julia’s father by the car dealership?
Answer: 0.125
Step-by-step explanation: Trust me
Snap ~ daddy_shadet
I need help lollllllllll
Answer:
the points: T(-6,-8) U(-1,-4) V(0,7) W(5,5) X(-7,3) Y(2,5) Z(6,0)
Hope this helps!
What is the percent of decrease from 84 to 21
Answer:
84 decreased to 21 is 25%
60 points! Please answer fast and show your work... Thank you!
You would like to purchase the car in 2 years. How much money will you need to invest at a 3.3% interest rate compounded annually in order to have $9500 in 2 years? Use the compound interest formula A = P (1 + i)n. (Round final answer to the nearest cent, but otherwise don’t round any intermediate values)
Answer:
$ 8902.72
Step-by-step explanation:
We would like to calculate the money which we need to invest at 3.3% rate compounded annually for two years . We know that ,
[tex]\longrightarrow \boldsymbol{ A = P \bigg(1+\dfrac{R}{100}\bigg)^n } [/tex]
where the symbols have their usual meaning . So here ,
Amount = $ 9500 time = 2 years Rate = 3.3% P = The money we need to invest (?)[tex]\longrightarrow \$ 9500 = P \bigg( 1+\dfrac{3.3}{100}\bigg)^2\\ [/tex]
Simplify RHS ,
[tex]\longrightarrow \$ 9500 = P \bigg(\dfrac{100+3.3}{100}\bigg)^2\\[/tex]
Simplify Nr . in RHS ,
[tex]\longrightarrow \$ 9500 =P\bigg(\dfrac{103.3}{100}\bigg)^2\\ [/tex]
Isolate P ,
[tex]\longrightarrow P = \dfrac{ \$9500\times 100\times 100}{103.3\times 103.3}\\[/tex]
Simplify ,
[tex]\longrightarrow \underline{\underline{\boldsymbol{ P = \$ 8902.72 }}}{} [/tex]
And we are done !
[tex]\bold{Formula: A = P(1 + \frac{r}{100})^{(n)}}[/tex]
Where
A = AmountP = PrincipalR = RateN = time compounded[tex] \bold{Solution : } \\ \\ \: \: \: \: \tt \: A = 9,500(1+\frac{3.3\%}{100})^{(2)} \\ \: \: \: \: \: \: \tt \: A = 9,500(1+ 0.033)^{(2)} \\ \tt \: A = 9,500(1.033)^{(2)} \: \: \\ \tt \: A = 10,137.34 \qquad \: \: \: [/tex]
therefore,I need $10,137.34 if would like to purchase the car.
Which inequality is shown on the number line below
Answer:
the first one
Step-by-step explanation:
tttt
TRIGONOMETRY QUESTION
Can someone please explain to me on how to find out the angle using trigonometry. I also think you have to use SOH but I’m unsure. Can someone tell me how to find a)