Answer:
x = -3
Step-by-step explanation:
4(2 - 4x) - 3x = 65
Distribute the 4.
8 - 16x - 3x = 65
Combine like terms.
8 - 19x = 65
-19x = 57
Divide by -19 to isolate x.
x = 57/-19
x = -3
Check.
4(2 - 4(-3)) - 3(-3) = 65
4(2 - (-12) + 9 = 65
4(14) + 9 = 65
56 + 9 = 65
65 = 65
The solution of the given linear equation 4(2 - 4x) - 3x = 65 is -3.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:
4(2 - 4x) - 3x = 65
Multiply the expressions inside the brackets,
8 - 16x -3x = 65
8 - 19x = 65
Subtract 8 from both the sides,
-19x = 65- 8
-19x = 53
Divide both side by -19
[tex]x = \dfrac{-53}{19}[/tex]
Thus, the value of x is -3.
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Write a division number story with an answer of 3/5
Answer:
Tom had 5 friends with him at the beach.
John came by with out his shirt on, showing his muscles.
2 of Tom's friends left with John
What fraction of Tom's friends were left with Tom?
Step-by-step explanation:
Expression: Jacob shared 3 pizzas with four of the friends. And each of them get 3/5 pizzas.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Expression is 3/5.
To write a division number story with an answer of 3/5:
Jacob and his 4 friends went to pizza house.
That means, the total number of people = 5.
Jacob bought 3 pizzas and share with his friends.
So, each of them get 3/5 pizzas.
Therefore, required expression is, Jacob shared 3 pizzas with his 4 friends.
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Mikayla downloaded 64
pictures from the cloud to her laptop.
These pictures took up 192 megabytes
of space on her laptop. Each picture
took up the same amount of space.
How many megabytes do 25
of these pictures take up?
Answer:
25 pictures will take up 75 Megabytes of space.
Step-by-step explanation:
Given that:
Number of pictures downloaded = 64
Space taken by pictures = 192 MBs
Unit rate = [tex]\frac{192}{64}[/tex]
Unit rate = 3 Megabytes per picture
Now,
The space 25 pictures would take,
25 pictures = 3*25
25 pictures = 75 Megabytes
Hence,
25 pictures will take up 75 Megabytes of space.
Help please due now!
Answer:
90
Step-by-step explanation:
x•y-z²
x=9,y=14,z=6
9 • 14 - 6²
126-36=90
PLEASE HELP I WILL GIVE BRAINLIEST!! I NEED HELP FAST
Answer:
B=12/13
Step-by-step explanation:
Not positive, but i believe you are trying to find the angle measure using inverse sin or whatever its called and then reducing the fraction. SOHCAHTOA
Choose Yes or No to tell if each statement is true.
A rhombus is a trapezoid.
Choose yes or no
A parallelogram has exactly 1 pair of parallel sides.
Choose yes or no
A rectangle is also a rhombus.
Choose yes or no
A rectangle is also a parallelogram.
Choose yes or no
Please say yes or no for every answer.
Answer: No, No, No, Yes
How many people work in the factory? When- 800 people live in the town. 15 out of every 50 adults work in the factory. The town has 200 children aged 17 or younger. 18 is considered the age for being called an adult. Children under 18 may not work in the factory.
Answer: 180 people
Step-by-step explanation:
Number if people living in the town = 800
Children aged 17 or younger = 200
Adults of 18 and above = 800 - 200 = 600
Since 15 out of every 50 adults work in the factory, the number of people that work in the factory will be:
= 15/50 × 600
= 180 people
Could someone good at geometry help me please. I will mark brainliest!! :)
One week, Paige earned $165.75 at her job when she worked for 13 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $318.75?
Answer: 25 hours
Step-by-step explanation:
From the question, we are informed that Paige earned $165.75 at her job when she worked for 13 hours. This means that her hourly rate will be:
= $165.75 / 13
= $12.75.
The number of hours that she would have to work the next week to earn $318.75 will be:
= $318.75 / $12.75
= 25 hours
What is the minimum, First Quartile (Q1), Median, Third Quartile, Maximum for 5,6,8,8,9,10,13,14,16,16,16,18,19, 21,22,23,25 of the data set?
What's the answers to Part A and Part B?
Answer:
there's nothing there
Step-by-step explanation:
PLS HELPPPPP THANK UUU
y = -x + 2
y = 3x - 4
a. x = 1/2, y = 3/2
b. x = 5/2, y = 1/2
c. x = 3/2, y = 1/2
d. x = 1/2, y = 5/2
+ graph
C. x=3/2 y=1/2
Hope this helps!
What is 11.242/22 eqaul?
I need ASAP
Answer:
11.242÷22=0.511
Plzzzzz give me Brainliest!!!!!
1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?
Answer:
$378
Step-by-step explanation:
(9000 x 0.70%) * 6 = 378
-9m - 4 = -7m + 6 solve for m
Answer:
m = -5
Step-by-step explanation:
Help please due now!
Answer:
8
Step-by-step explanation:
3(2)-2(1-2) / 3-2
6-2(-1) / 1
6 + 2 / 1
8 / 1
= 8
solve each equation. 7(x+4)-6(x+3)=x+5
Answer:
7(x+4)-6(x+3)=x+5
or , 7x + 28 - ( 6x + 18 ) = x + 5
or , 7x + 28 - 6x - 18 = x + 5
or , x + 10 = x + 5
The equation is incorrect !!
the base of a parallelogram is 2
more than the height
The area of the parallelogram is 120yd^2, find the base and the height
Answer22:22
Step-by-step explanation:
HELP PLz it is hard answer both of them
Answer:
6. 162
7. c
Step-by-step explanation:
Answer:
6. 162
7. C
Step-by-step explanation:
6. Replace the values of a and b into the expression:
8a + 6b = 8(12) + 6(11)
= 96 + 66
= 162
7. The distributive property states that whatever is outside a bracket must be multiplied to ALL terms in the brackets:
5(2f+4) = (5 × 2f) + (5 × 4)
= 10f + 20
Use your choice of equal values, substitution, or elimination to solve the
following System of Equations, and show your work.
i are running a concession stand at a basketball game. You are selling hot
dogs and sodas. Each hot dog costs $3.00 and each soda costs $2.00. At the
end of the night you made a total of $213.00. You sold a total of 87 hot dogs
and sodas combined. You must report the number of hot dogs sold and the
number of sodas sold. How many hot dogs were sold and how many sodas
were sold?
Answer:
For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.
3x+2y=213
x + y =87
We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.
3x+2y=213
3(x+y=87) --> 3x+3y=261
Now we can eliminate x.
3x+2y=213
- 3x+3y=261
----------------------
-y=-48
Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.
y = –2x2 + 8x - 3
help :c
Answer:
8x-7
Step-by-step explanation:
-4+8x-3
8x-4-3
8x-7
The ratio of kids to adults at a school festival is 11 : 7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?
Answer:
315
Step-by-step explanation:
So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.
Since you want to find the number of adults, just multiply.
7/18 x 810
You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying
7 x 45
=315
So, 315 is your answer
Answer: 315 Adults.
Step-by-step explanation:
Let the number of adults is x.
Then the number of kids is (810-x).
The ratio of kids to adults is
810 - x/x = 11/7
It is your basic equation, which you get from the condition.
To solve it, cross multiply; then simplify
7*(810-x) = 11x
7*810 - 7x = 11x
7*810 = 11x + 7x
7*810 = 18x
x = 7 x 810/18 = 315.
please help im crying
Answer:
length=91
width=2
Step-by-step explanation:
182/2=91
91*2=182
If James measures 5 feet 4 inches tall, how tall is James in inches? Answer without units. plss help
Answer:
64
Step-by-step explanation:
he's 64 inches tall
- multiply 12 by 5, which is 60
- then add four, 60 + 4 = 64
Will the given side lengths form a right triangle?
1, 2, 5
Step-by-step explanation:
For 3 side lengths of a triangle to form a right triangle, the sum of the squares of the 2 smaller side lengths must be equal to the square of the largest side. (a² + b² = c²)
Since 1² + 2² =/= 5², (5 =/= 25)
it will not form a right triangle.
Another Explanation:
Since 5 > 1 + 2, the sum of the 2 smaller side lengths is less than the largest side. Hence it will not form a triangle => not form a right triangle.
George collects 25 baseball cards each month. How many cards will he have at the end of one year? Complete the equation to help you solve the problem. 25 × = n
Answer:300
Step-by-step explanation:
25 times 12
Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t tt, in years, since Bozena started studying the population, and the number of tigers, N ( t ) N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=537⋅(0.35)t2 Complete the following sentence about the rate of change in the tiger population. The population of tigers loses 65 % 65%65, percent of its size every years.
Answer:
every 2 years
Step-by-step explanation:
since it is t/2 for the exponent - thas the answer on khan
The rate of change in the population of the Siberian tigers loses 65% every two years.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Bozena started studying the population, and the number of tigers, N(t), is modeled by the following function:
[tex]\rm N(t)=537\times (0.35)^{t/2}[/tex]
Then it is clear that the population of the Siberian tigers loses 65% of its size every two years.
More about the exponent link is given below.
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There are 40 animals in Mang Roman's farm.The ratio of cows to carabaos to goats to horses is 4:2:3:1. How many animals of each kind are there in Mang Roman's farm.
Answer:
there are
16, 8, 12 and 4 different animals
Step-by-step explanation:
Step-by-step explanation:
Step one:
given data
Number of Animals = 40
The given ratio is = 4:2:3:1
The total ratio is = 4+2+3+1= 810
Step two;
Applying the part to all method
The first animal
4/10=x/40
cross multiply
10x= 40*4
divide both sides by 10
x= 160/10
x= 16
for second we have
2/10=x/40
cross multiply
10x= 40*2
divide both sides by 10
x= 80/10
x= 8
for the third we have
3/10=x/40
cross multiply
10x= 40*3
divide both sides by 10
x= 120/10
x= 12
for the fourth we have
1/10=x/40
cross multiply
10x= 40*1
divide both sides by 10
x= 40/10
x= 4
In the oak forest, 60 kids are playing capture the flag.That is 40 percent of all kids in the park.How many kids are in the park?
Answer:
150 kids
Step-by-step explanation:
If 60 kids is 40% of the total kids, we can add another 60 to get 80% and then half of 60 (30) to bring the total up to 100% of the kids.
1. Q1) Which number is missing from this prime factor
tree?
Answer:
2
Step-by-step explanation:
16
2x8
2x4
2x2
write an equation of the line and interpret the slope
Answer:
Step-by-step explanation:
Slope of this line will be= m= (600-200)/(1-5)
m = 400/-4 = -100
Eq of line will be:
(y-y1)=m(x-x1)
y-200=-100(x-5)
y-200+100x-500=0
100x+y-700 = 0
To write equation in slope-intercept form
y=mx+c
just seperate "y"
y=-100x+700
Hey there!
The answer to your question is [tex]y = -100x + 500[/tex]
To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:
[tex]\frac{200-600}{5-1}[/tex]
[tex]\frac{-400}{4}[/tex]
[tex]-100[/tex]
Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:
[tex]600 = -100(1) + b[/tex]
[tex]600 = -100 + b[/tex]
[tex]500 = b[/tex]
Now, we have our equation:[tex]y = -100x + 500[/tex]
Hope it helps and have an amazing day!