How many solutions are there to
the following system of
equations?
2y = 6 - x
x + 2y = 6
A = none
B= 1
C = infinitely many
D = 2
Answers
Answer:
C
Step-by-step explanation:
there are infinitely many solutions since different values of x and y will work for this simultaneous equation
Related Questions
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
-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
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.solve using substitution
y = 3x - 4
3x + y = -4
Answers
y= 3x –4
3x + y = –4
3x + (3x –4) = –4
3x+3x – 4 = – 4
6x = – 4 +4
6x=0 —> x= 0/6 —> x=0
x = 0y = 3x – 4 —> y = 3(0) – 4 = – 4
y = – 4So; (x , y) —> (0 , – 4 )I hope I helped you^_^
Answer:
(0,-4)
Step-by-step explanation:
3x + y = -4
3x + (3x - 4) = -4
3x + 3x - 4 = -4
6x = 0
x = 0
y = 3(0) - 4
y = -4
Given f(x) = 3x – 1, solve for x when f(x) = -7.
Answers
Answer:
x = -2
Step-by-step explanation:
Given f(x) = 3x – 1
f(x) = -7
3x-1 = -7
3x = -7+1
3x = -6
x = -2
Answer:
x = -22
Step-by-step explanation:
given:
[tex]f(x) = 3x - 1[/tex]
solve for x, when:
[tex]f(x) = -7[/tex]
replace x with -7
~~~~~~~~~~~~
➡️ [tex] x = 3(-7) - 1 [/tex]
➡️ [tex] x = -21 - 1 [/tex]
➡️ [tex]x = -22 [/tex]
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:
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
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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
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
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
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.
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.
Is -1 1/6 rational? HURRY
Answers
Answer:
yes
Step-by-step explanation:
since it can be expressed as a fraction, it is rational
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)
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.
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
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
-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
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:
-5^2(3)-4(-6)
ILL GIVE YOU POINTS JUST SOLVE
Answers
the answer to this is -51
Answer:
The answer foe the problem is -51
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:
-8-4x>1
please help
Answers
I hope this help you
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.
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
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
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
The Rivera family bought a new tent for camping. Their old tent had equal sides of 10 feet and a floor width of 15 feet, as shown in the accompanying diagram. If the new tent is similar in shape to the old tent and has equal sides of 16 feet, how wide is the floor of the new tent?
Answers
Answer:
25.6 feet
Brainliest, please!
Step-by-step explanation:
10/16 = 16/x
5/8 = 16/x
5 = 128/x
x = 128/5
x = 25.6
The floor of the new tent is 24 feet wide.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b.
Given that,
Side of old tent = 10 feet,
And width of floor = 15 feet.
Let width of new tent is x feet.
To find the width of a tent whose side is 16 feet,
Use ratio and proportion property,
10/15 = 16/x
x = (16 × 15)/10
x = 240/10
x = 24 feet
The width of the floor of the new tent is 24 feet.
To learn more about Ratio on :
https://brainly.com/question/13419413
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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
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
