Problems 1 - 6, evaluate each expression for the given values of the variables.
1 5a + 4b - 3a - 7b+ 4a; a = -3 and b = 4
2. c6-1)-cm; b=5 and c= -2
3. 5x – 2xy + 3y: x=-5 and y=-2
4. -K -(7k - 4m); k=-2 and m = 4
5. 3(6x + 5y) - 2y: x = 3 and y=-3
6. 5(3m – n) – 4(2m- n); m=-8 and n=-11
Problems 7 - 14, combine like terms and simplify completely
Answers
Step-by-step explanation:
1) 5a+4b-3a-7b+4a
Add terms having 'a' and 'b' separately
=6a-3b
Now subtitute values of a and b :
=6(-3)-3(4)
=-18-12
=-30
2)c(6-b)-c²
=6c-bc-c²
Subtitute values of b and c:
= 6(-2)-(5)(-2)-(-2)²
=-12+10-4
=-6
3)5x²-2xy+3y
Subtitute values of x and y:
=5(-5)²-2(-5)(-2)+3(-2)
=5(25)-20-6
=125-20-6
=99
4)-k²-(7k-4m)
Subtitute values of m and k:
=-(-2)²-{7(-2)-4(4)}
=-4-(-14-16)
=-4-(-30)
=-4+30
=26
5)3(6x+5y)-2y
Subtitute values of x and y:
=3{6(3)+5(-3)}-2(-2)
=3(18-15)+4
=3(3)+4
=9+4
=13
6)5(3m-n)-4(2m-n)
Subtitue values of m and n:
=5{5(-8)-(-11)}-4{2(-8)-(-11)}
=5(-40+11)-4(-16+11)
=5(-29)-4(-5)
=-145+20
=-125
Note:If you have any question about it you can friendly ask.Thanks
Related Questions
Write -0.450 as a fraction in simplest form.
Answers
Answer:
-0.450 as a fraction is -9/20
Step-by-step explanation:
Since there 3 decimal places, divide it by 1000
-450/1000 and simplify it
YO I NEED HELP PLEASE!!
1. The sum of 6 times a number n and 4 times a number n is -30.
What is the number?
2. Four less than the product of 6 and a number n is -30.
What is the number? _____
3. Four less than the product of 6 and a number n is -30.
What is the number? _____
Answers
Answer:
1. n = -3
6n + 4n = -30
10n = -30
n = -3
-8=x+ll/-2 solve for x step by step and answer
Answers
Answer:
x=(-5)/2
Step-by-step explanation:
-8×(-2)=-2x+11
16-11=(-2x)
x=(-5)/2
An artist mixes 1.6 ounces of green paint with 1.85 ounces of white paint. She then divides the paint into 6 equal parts.
How much paint is in each part?
Answers
Answer:
0.575 ounce
Step-by-step explanation:
Total paint
= Green paint + white paint
= 1.6 ounces + 1.85 ounces
= 3.45 ounces
Paint in each part if divided into 6 parts equally
= 3.45 ounces/6
= 345 ounces/600
= 23/40
= 0.575 ounce
The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
Amount of green paint = 1.6 ounces
Amount of white paint = 1.85 ounces
Total paint = 1.6 + 1.85 = 3.45
The ratio of green paint to total paint = 1.6/3.45 = 0.46
Now, this ratio must be maintained in each part after dividing it into 6 equal parts.
Total paint in each section after dividing = (1.6 + 1.85)/6 = 0.58
With the same ratio,
Green paint / Total paint = 0.46
Green paint / 0.58 = 0.46
Green paint = 0.27 ounces
White paint = total paint - green paint
White paint = 0.58 - 0.27 = 0.31 ounces
Hence "The amount of green and white paint in each part is 0.27 ounces and 0.31 ounces respectively".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ5
Please help.Please show the formula,thanks.
Answers
Answer:
DE=6.3
Step-by-step explanation:
triangles are similar so, its sides and angles are comgruent.
side BC=side DE
side BC=6.3
side DE=6.3
Note:if you need to ask any question please let me know.Y'ALL PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!
Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.
Show how you got your answers I can see if it makes sense!!!
Answers
Apologies that the photo of the actual notebook is a little small, trying to handle this app’s photo-taking capabilities is a little weird for me.
A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.
Answers
Answer:
Step-by-step explanation:
Let the greater part = x
Smaller part = 105 - x
2*(greater part) = (3*smaller part) - 15
2*x = 3*(105 -x) - 15
Use distributive property
2x = 3*105 - 3*x - 15
2x = 315 - 3x - 15
2x = 300 - 3x
Add 3x to both sides
2x +3x = 300
5x = 300
Divide both sides by 5
x = 300/5
x =60
Smaller part = 105 - 60 = 45
Greater part = Rs. 60
Smaller part = Rs. 45
Write a proof. Given x - 2 = 3(x - 4) Prove x = 5
Answers
x=5
Step-by-step explanation:
x-2=3(x-4)
x-2=3x-12
12-2=3x-x
10=2x
x=10/2
x=5
Answer:
x = 5
Step-by-step explanation:
x - 2 = 3(x - 4)
x - 2 = 3x - 12
-2x - 2 = -12
-2x = -10
x = 5
My question is in the picture attached below, thank you.
Ps: I need full explanations of the answers as said by the instructions. Thanks
Answers
The volume of a rectangular prism is the product of the prism's dimension (i.e. length, width and height). The dimension of the rectangular prism are:
[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]
Given that:
[tex]Volume = (18x^4 + 15x^3 - 12x^2)[/tex]
First, we factor out [tex]3x^2[/tex]
[tex]Volume = 3x^2 \times (6x^2 + 5x - 4)[/tex]
Expand
[tex]Volume = 3x^2 \times (6x^2 + 8x-3x - 4)[/tex]
Factorize
[tex]Volume = 3x^2 \times (2x(3x + 4) -1(3x + 4))[/tex]
Factor out [tex]3x + 4[/tex]
[tex]Volume = 3x^2 \times ((2x -1) (3x + 4))[/tex]
Rewrite as:
[tex]Volume = 3x^2 \times (2x -1) \times (3x + 4)[/tex]
The volume of a rectangular prism is:
[tex]Volume = Length \times Width \times Height[/tex]
So; by comparison:
[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]
Read more about polynomials and volumes at:
https://brainly.com/question/2141804
Is -1 1/6 rational? HURRY
Answers
Answer:
yes
Step-by-step explanation:
since it can be expressed as a fraction, it is rational
Evaluate the function.
f(x) = –22 +2
Find f(-1)
Answers
Answer:
Cant do this problem since there is no x variable. So the answer would be :
f(x) = -22+2
Step-by-step explanation:
The line graph shows the cost of inflation in some country. What cost $10,000 in 1975 would cost the amount shown by the graph in subsequent years. Below are two mathematical models for the
lata shown in the graph. In each formula, C represents the cost x years after 1980 of what cost $10,000 in 1975.
Model 1 C = 840x +15,538
Model 2 C= -222 +900x + 14,204
Answers
Answer:
não sei nam mano foi mal ai
vei kskksksksk
Step-by-step explanation:
How to solve 3х/2+5/2= 7
Answers
Answer:
x = 3
Step-by-step explanation:
3х/2+5/2= 7
(3x+5)/2 = 7
3x+5 = 14
3x = 9
x = 3
Which figure shows an example of symmetry?
A.
B.
C.
D.
Answers
Both halves created by the line of symmetry are equal in diagram A.
In which quadrant would the point
(9.-10) be located?
a) Quadrant 1
b) Quadrant 2
c) Quadrant 3
d) Quadrant 4
Answers
Answer:
D
Step-by-step explanation:
Start with the 9. It goes to your right. It is on the plus x axis.
You are either in quad 1 or quad 4
We need the - 10 to decide which.
+ 10 would go up and that would mean quad 1
- 10 mean going down so you are in Quad 4
Show that the statement is true. If JK has endpoints J(−2, 1) and K(4, 3), and LN has endpoints L(0, 3) and N(2, 1) then JK and LN have the same midpoint.
Answers
yes they both have the same midpoint of (1,2)
Step-by-step explanation:For the midpoint of JK
[tex](\frac{-2+4}{2}, \frac{1+3}{2} )[/tex]
[tex](\frac{2}{2}, \frac{4}{2} )[/tex]
(1,2)
then for LN
[tex](\frac{0+2}{2}, \frac{3+1}{2} )[/tex]
[tex](\frac{2}{2}, \frac{4}{2} )[/tex]
(1,2)
Sawyer has -$15.34 in his bank account. He does his chores at home and makes
$5.75. He deposits the money into his banking account. How much money does
Sawyer have now?
Answers
Answer Hi! you would do 15.34- 5.75
so do 75-34 = 41 and then 15- 5 = 10 so your anwser is -10.41 MAKE SURE ITS NEGTIVE
Step-by-step explanation:
Katie is sending flowers to her friend for her birthday. The florist is selling lilies for $0.60 each and the delivery fee is $7.50. She has $16.50 to spend on the flowers. Write the equation to solve this.
Answers
Answer
16.50=0.6l+7.50
Step-by-step explanation:
L is for the amount of lillies
Jonathon can jog 2 2/7 miles in 2/8 hour. Find his average speed of miles per hour.
Answers
Answer:
9.14 miles an hour
Step-by-step explanation:
The table below shows primary school enrollment for a certain country. Here, x represents the number of years after 1820, and y represents the enrollment percentage. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places.
Answers
Answer:
I don't know if you can solve it without the table since we have to do the calculations with the table. If you put up the table that should help alot.
A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle
Answers
Answer:
3x - 13
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.
(x-6) + (x+2) + (x-9)
Group:
x + x + x - 6 + 2 - 9
3x - 13
Find the Value of X
(please don't just give me a fake answer)
Answers
10/6=(2x+1)/(x+1)
10(x+1)=6(2x+1)
10x+10=12x+6
10-6=12x-10x
2x=4 /2
X=2
Compare and order the numbers below from least to greatest.
4.6, 2.8, V7, V17,
Answers
Answer:
2.8, 4.6, V7, V17
i hope it help n im sorry i can't explain
Riley needs to make fruit punch for the family reunion. One batch of punch has the ingredients shown. if the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same?
Answers
Answer:
6 cups
hopes this help you
what is 2x-9=5x+12 with the step by step
Answers
Answer:
x = -7
Step-by-step explanation:
Please view the detailed answer in the image attached
Answer:
[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]
Step-by-step explanation:
x = -7
1. Dividing thirty by one more than an integer is the same as dividing twenty-four by one less
than the integer. Find the integer algebraically using rational expressions.
Answers
Answer:
9
Step-by-step explanation:
Let the integer be n
According to the text
30 / (n + 1) = 24 / (n-1)
Cross multiply we have
30 (n -1) = 24 (n + 1)
30 n - 30 = 24 n +24
30n -24n = 30 + 24
6n = 54
n = 9.
So the integer is 9.
-6, 20, 4.3, 159/-9
Order from least to greatest
Answers
Write a proportion for the situation, and then solve.
1. A test is worth 36 total points, and you want to get an 87% on it. How many
points do you need to score?
Answers
Robert wants to buy a digital piano at a yard sale. He makes a scale drawing of his living room. He uses a scale of 1cm in the drawing to 6 inches in the actual room. The width of the digital piano is 54 inches will it fit along the wal. Next to the bookshelf ?
Answers
Answer:
It’s 48 just do 8*6=48 I don’t know how I got that answer but Ik it’s right lol
Find the mode, median, and mean of each data set ( ASAP pls can someone help me )
Answers
Answer:
mean = 10.818181...
median = 10
mode = 5
Step-by-step explanation:
first put the numbers in order, smallest to largest
5 5 6 8 9 10 11 13 15 18 19
mean = 5+5+6+8+9+10+11+13+15+18+19 = 119 119÷11= 10.818181818... (round it)
median = 10
mode = 5
