which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?
A. -39/5x - 11/2
B. 67/10x + 9
C. 3/10x + 5/2
D. 15 + 76/10x
Answers
Answer:
B. [tex]\frac{67}{10} x + 9[/tex]
Step-by-step explanation:
Simplify the expression. Remember to go by the order of operations, or PEMDAS.
1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.
[tex]3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)[/tex]
[tex]\frac{21}{5}x + 12 - \frac{6}{2} + \frac{10}{4} x[/tex]
[tex]\frac{21}{5} x + 12 - 3 + \frac{10}{4} x[/tex]
2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.
[tex]\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9[/tex]
Thus, the answer is [tex]\frac{67}{10} x + 9[/tex].
Answer:
B. 67/10x + 9
Step-by-step explanation:
Related Questions
Find the area of the shape below, giving your answer to 1 decimal place.
10 cm
15 cm
Answers
Answer:
≈ 189.3 cm²
Step-by-step explanation:
The shape is composed of a rectangle and a semicircle, then
area of rectangle = 15 × 10 = 150 cm²
The semicircle has a diameter of 10 cm , so radius = 10 ÷ 2 = 5 cm
area of semicircle = [tex]\frac{1}{2}[/tex] πr² = 0.5 × π × 5² = 12.5π cm²
area of shape = 150 + 12.5π ≈ 189.3 cm² ( to 1 dec. place )
A student is 1.75m tall and is trying out for the football team. He kicks the football straight up
in the air from his outstretched arms at a height of 1 m. If the ball hits him on the head on the
way back down 3 seconds later, what was the football's initial velocity?
Answers
Answer: see below
Step-by-step explanation: Initial velocity = terminal velocity. At the top of travel, the velocity is 0 as the ball is motionless. Then it travels 3 seconds (due to gravity). Grav is 9.8m/sec squared. So 1st second = 9.8m. 2nd second is 2x9.8m. 3rd second is 3x9.8m = 29.4 m/sec.
Plz help me plzzzzzzzzz
Answers
D. (-4, -1)
May Nilbin be with you
Answer:
c
Step-by-step explanation:
x axis comes first so it's -1 then the y Axis witch is -4 so it's (-1,-4) C
What is the area of this parallelogram???? HELPP PLSS
Answers
Answer:
the area of the parallelogram is 30 cm
Identify the initial amount a and the rate of growthr (as a percent) of the exponential function y = 25(1.2). Evaluate the function when t = 5. Round your answer to the nearest
tenth
a=
T=%
When t = 5, y =
Answers
T=20%
can you write the complete function so i can get y ? is it power t or what ?
write an equation of the given line that passes through the given point and has the given slope m
(5,1);m=2
Answers
Answer:
y = 2x - 9
Step-by-step explanation:
Use slope intercept form, y = mx + b
Plug in the slope, x, and y, then solve for b:
y = mx + b
1 = 2(5) + b
1 = 10 + b
-9 = b
Then, plug in b and the slope into y = mx + b
y = mx + b
y = 2x - 9
So, the equation of the line is y = 2x - 9
Answer:
Step-by-step explanation:
y=mx+b, m=2
y=2x+b, using point (5,1)
1=2(5)+b
b=-9
y=2x-9
Find the slope (grade) of the treadmill if the rise is 0.7ft and the length is 2ft
Answers
Answer:
0.7/2 but i think you should write it as 7/20
Step-by-step explanation:
Factorise fully
2x+14
Answers
Answer:
2 (x + 7)
Step-by-step explanation:
2x + 14
2 (x+7)
I hope this helps
Answer:
[tex]2(x+7)[/tex]
Step-by-step explanation:
Factoring is when takes out the GCF (greatest common factor) between two numbers. Between the numbers [tex]( 2x + 14 )[/tex] The GCF is ([tex]2[/tex]). Hence one divides both numbers by ([tex]2[/tex]), groups the numbers and then writes ([tex]2[/tex]) on the outside.
([tex]2x + 14[/tex])
[tex]2(x+7)[/tex]
The equation x^2=1 has two solutions of the equation is changed to 4x^2=1 which operation
Answers
Answer:
for the x^2 =1 the first solution is 1x1 the other solution is -1x-1
4x^2=1 the "x" equals to 1/2
Step-by-step explanation:
Because the answer is "1" it is positive. Negative and negative equals to positive. Positive and positive equals to positive.
My sister is 18 years old. My brother says that his age minus eighteen is equal to my sister's age. How old
is my brother?
Enter an equation, using b as your variable, to find how old my brother is.
The equation is
My brother is
years old.
Answers
Answer:
The brother is 36 years old.
Step-by-step explanation:
b = brothers age
b - 18 = 18 | Given
b = 36 | Add 18 to both sides to cancel out -18 and get his age.
Answer:
36 years old or b-18 = 18
Step-by-step explanation:
Since there is an 18 year difference between the brother and the sister, all you have to do is subtract 18 from how hold the brother is. Since we know that the age of the sister is 18, the equation needs to be equal to 18. Using this, we know the equation is b - 18 = 18. When we add 18 to both sides we get that b=36.
The product of 2 and a number, increased by 5, is 15.
Answers
Answer:
2x+5=15
Step-by-step explanation:
If u need one I'll be happy to explain
please help me solve this
Answers
Determine the surface area of this
cylinder. With radius of 4 and height of 12 Use 3.14 for pi.
Answers
Answer:
602.88Step-by-step explanation:
[tex]V=\pi R^2\cdot H\\R=3\\H=12\\\\V=??\\\\V=\pi\cdot4^2\cdot 12\\\\V=162\pi\approx 602.88[/tex]
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
x = 39º; y = 45º
Step-by-step explanation:
97 + 44 + x = 180
141 + x = 180
x = 39º
y + 52 = 97
y = 45º
take pi to be 3.142 and write down all tge digitd given by your calculator. 21
Answers
Answer:
3.3.14259265359 re-uccering
Step-by-step explanation:
Savannah is deciding between two parking garages. Garage A chargers an initial fee of $9 to park plus $1.50 per hour
Answers
Answer: 4 hours
Step-by-step explanation:
Assume x is the number of hours taken.
Garage A would therefore charge a total of:
= $9 + $1.50 * x
= 9 + 1.50x
Garage B would charge:
= $5 + $2.50 * x
= 5 + 2.50x
To find the number of hours it would take for them to be the same, equate both equations:
9 + 1.50x = 5 + 2.50x
9 - 5 = 2.50x - 1.50x
4 = 1x
x = 4 hours
That cost would be:
= 9 + 1.50 * 4
= 9 + 6
= $15
How many solutions does this
system have?
2x + y = -1
1-4x – 2y = -5
Answers
Answer:
none
Step-by-step explanation:
I just did this question and got it right.
Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x2 + 180x. The cost, in dollars, of producing the televisions can be modeled by 3x2 – 160x + 300. The variable x is the number of televisions sold.
If 150 televisions are sold, what is the profit?
$2,700
$6,000
$50,700
$51,300
Answers
Answer: $50,700 is the profit
If 150 televisions are sold, the profit is $50,700.
What is profit?
Profit is the total revenue less the total cost.
Profit = total revenue - total cost
What is profit?Profit = (3x^2 + 180x) - (3x2 – 160x + 300)
Profit = (3 x 150^2 + 180 x 150) - (3 x 150^2 - 160x 150 + 300)
27,000 + 24,000 - 300
Profit = $50,700
To learn more about profit, please check: https://brainly.com/question/26181966
What is 8 4/9 as a decimal?
Answers
The decimal is 8.44444
What is decimal?Decimals are a set of numbers lying between integers on a number line. They are just another way to represent fractions in mathematics. With the help of decimals, we can write more precise values of measurable quantities like length, weight, distance, money, etc. The numbers to the left of the decimal point are the integers or whole numbers and the numbers to the right of the decimal point are decimal fractions. If we go right from ones place, the next place will be (1/10) times smaller, which will be (1/10)th or tenth place value.
Given:
8 4/9
Change the mixed fraction in normal fraction
=9*8+4/9
=72+4/9
=76/9
=8.4444444
Learn more about decimal here:
https://brainly.com/question/548650
#SPJ2
what is 2(3x – 4) = 3x+1
Answers
Answer:
x = 3
Step-by-step explanation:
Answer:
I love math anyways
X=3 how i got the ans is in the picture and the steps
(hope it helps can i plz have brainlist it will make my day :D hehe)
Step-by-step explanation:
Find the perimeter of the triangle below.
pls help!!!
Answers
Answer:
180
--
40*9 / 2
Hope this helps!!!
A national park has two types of bears: Grizzly bears and black bears. A sciantist has reported 9 out of 12 bears she tagged are black bears. Show a model that compares the number of black bears tagged to the number of grizzly bear?
Answers
Answer:
Z = 0.75x + 0.25y
Step-by-step explanation:
Two bear types are identified :
Black bears and Grizzly bears
9 out of 12 = black bears ; Hence, 3 are grizzled
For the model:
For a bear population of Number x
Total bear population = black bear, x + grizzled bear, y
Proportion of black bear = 9/ 12 = 0.75
Grizzled bear = 1 - 0.75 = 0.25
Total bear population , Z= 0.75x + 0.25y
Hence,
Z = 0.75x + 0.25y
O.
(a) The function f is increasing over which intervals? Choose all that apply
(-4,-8)
O (-8,-5) O (-1,3) O (-1,7) O (7,9)
(9,)
X
(b) The function f has local maxima at which X-values? If there is more than one value,
separate them with commas,
(c) What is the sign of the leading coefficient of 1?
Select One
(d) Which of the following is a possibility for the degree of f? Choose all that apply,
06
07
09
Answers
x-7=7-x find solution
Answers
Answer:
7
Step-by-step explanation:
x-7=7-x
2x-7=7
2x=14
x=7
Answer:
x = 7
(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)
please help! im stuck on this question
Answers
Answer:
6
Step-by-step explanation:
id say the answer is 6 or 9 :)
7 times a number increased by 3 is the
same as 13 more than 5 times the number.
Find the number.
Answers
2x = 10
x = 5
B is the midpoint of segment AC. D is the midpoint of segment CE and AE =27. Find BD
Answers
Answer:
Dude sorry I’d undo
Step-by-step explanation:
Please forgive me
Devin bought a new car
for $19,024 and it was
20% off. Determine the
original price of the car.
Answers
Answer:
$23780
Step-by-step explanation:
Given data
Let the original price be x
discount= 20%
price= $19,024
so that
20/100*x=x-19,024
0.2x= x-19,024
19,024=x-0.2x
19,024=0.8x
x= 19,024/0.8
x=23780
Hence the original price is $23780
Which equation below illustrates the distributive property? A. 4 x + 5 = 5 + 4 x B. 5 ( x − 3 ) = 5 x − 15 C. 3 ( x + 2 ) + 3 ( 2 + x ) D. ( 5 x + 2 y ) + 3 = 5 x + ( 2 y + 3 )
Answers
This graph shows how the amount of tape Kurt has used is related to the number of presents he has wrapped.
Answers
Answer:
C 3 cm per present
Step-by-step explanation:
1 = 3cm
2 = 6cm
3 = 9cm