Answer:
x = -6.4 and y = -3.6
Step-by-step explanation:
The given system of equations are :
[tex]y=\dfrac{3}{2}x+6[/tex] ....(1)
and
[tex]y=\dfrac{x}{4}-2[/tex] ....(2)
We need to solve equation (1) and (2).
From equation (1) and (2),
[tex]\dfrac{3}{2}x+6=\dfrac{x}{4}-2[/tex]
Taking like terms together,
[tex]\dfrac{3}{2}x-\dfrac{x}{4}=-2-6\\\\\dfrac{6x-x}{4}=-8\\\\x=-6.4[/tex]
Put the value of x in equation (1).
[tex]y=\dfrac{3}{2}(-6.4)+6\\\\=-3.6[/tex]
So, the values of x and y are x = -6.4 and y = -3.6
What is the quotient of 58,110 and 65?
Answer:
894
Step-by-step explanation:
58,110 divided by 65 is 894
The quotient of the given numbers 58,110 and 65 would be equal to 894.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number.
Dividend ÷ Divisor = Quotients
The quotient of the given numbers is 58,110 and 65.
58,110 divided by 65
58,110 /65
= 894
Thus, the quotient of the given numbers is 894.
Learn more about quotient;
https://brainly.com/question/16472943
let R be the region bounded by the functions f(x)=-x^2 and g(x)=-9 as shown in the diagram below. find the exact area of the region R. write your answer in the simplest form. zoom in photo
») What is the circumference of the rim of a basketball hoop with a radius of 9 inches? First, multiply the radius by__ to get the diameter__ inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of
about__ inches. ») Convince Me! If the diameter is doubled, what happens to the circumference? Explain.
Answer:
First, multiply the radius by 2 to get the diameter 18 inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of about 56.52 inches. If the diameter doubles the circumference doubles.
Step-by-step explanation:
18π = 56.52
36π = 113.04
56.52*2 = 113.04
The longest run way at an airport has the shape of a rectangle and an area of 1,573,000 sq ft. This run way is 130 feet wide. How long is the run way?
Answer:
12,100 feet
Step-by-step explanation:
The longest run way at an airport has the shape of a rectangle and an area of 1,573,000 sq ft. This run way is 130 feet wide. How long is the run way?
The area of a rectangle = Length × Width
Width = 130 feet
Area = 1,573,000 sq ft
The Length = Area/Width
= 1,573,000 sq ft/130 feet
= 12,100 feet
Therefore, the runaway is 12,100 feet long.
simplify the expression.
Answer:
5^2
Step-by-step explanation:
Answer:
[tex]5^{2}[/tex]
Step-by-step explanation:
when dividing exponents with the same base (the number on the bottom) you subtract the exponents.
okay last one . help
If You Have NO EXPLANATION Don't ANSWER
Answer:
C
Step-by-step explanation:
y=5x reads "y equals (5 times x)", which we can rephrase to "the value of y is 5 times the value of x"
y=x+5 reads "y equals (x plus 5)", which we can rephrase to "the value of y is 5 more than the value of x".
Ergo, answer C is what we're looking for.
Answer: C
Step-by-step explanation:
in y=5x, we can see a 5 placed in front of x. If there is no addition, subtraction, or division sign between a number and a variable, it always means it's multiplication.
We know now that this is 5 times x.
In y=x+5, we see that 5 is being added to x. Therefore, y is 5 more than x.
So there you have it.
Decide whether the given expression is a polynomial and tell why or why not.
5. 3x2 – 5x + 2
Answer:
3x² – 5x + 2 is a polynomial because:
Exponents are whole numbers, and the expression has at least 1 term.
Exponents other than whole numbers can take the form of variables in denominators, and roots which we don't want.
If $120.99 is charged for 654 units of electricity used,find the cost of one unit of electricity
Answer:
$5.41
Step-by-step explanation:
654 divided by 120.99=5.405... therefore the answer is $5.41
What does 1/3 represent for the picture below?
Answer:
c the ratio of the measure of arc QR and the circle
Step-by-step explanation:
i just took the quiz
hope this helps (:
Please answer correctly! I will mark you Brainliest!
Answer:
37
Step-by-step explanation:
HELP HELP HELP HELP HEPL HELP
Answer:
The answer would be Y= 1/4X -3
Step-by-step explanation:
Hope it was helpful .
Good luck ^.^
The area of the carpet is 48x^2y+16xy^2, if the width is 8xy inches, what is the length of the carpet?
Answer:
Step-by-step explanation:
(48x^2)(y) + (16x)(y^2).
This is addition, so the distributive property applies. [(48x^2)(y) + (16x)(y^2)]/8xy = (48x^2)(y)/8xy+(16x)(y^2)/8xy = 6x+2y.
Division rules are explained below.
I included the parentheses to emphasize the difference between x^2y, which means x to the 2y, and (x^2)(y), which is x^2 times y.
48/8 = 6x^2 times y divided by 8xy equals x because x^2/x = x^(2-1), because x=x^1, and so, equals x; The same y^2/y. The other 2 y's and 2 x's cancel.
TELL ME IF THIS IS CONFUSING<,BECAUSE I DON'T THINK I EXPLAINED VERY WELL.
Here's a easy one
Not accepting links!
A board game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5.
Spinner
Which number is a reasonable estimate of the number of times the spinner will land on a section labeled 5 over the course of 150 spins?
Answer:
30 times
Step-by-step explanation:
1. find the possibility of the spinner landing on each section
1 / 5 = 0.2
2. multiply # of spins by the possibility
150 * 0.2 = 30 times
find the mean of the day 10.25‚9‚4.75‚8‚2.65‚12‚2.35
Answer:
7!
Step-by-step explanation:
If you add all of those numbers together it would be 49!
Then you divide that number how many numbers there are.
There are 7 numbers and 49/7 =7!
Simplify the following expressions to have fewer terms 5x-3+4(4x-6)+2
Answer:
(21x-25)
Step-by-step explanation:
We need to find an equivalent expression for the following.
5x-3+4(4x-6)+2
We can solve it as follows:
5x-3+4(4x-6)+2 = 5x-3+16x-24+2
= 5x+16x-3-24+2
= 21x-25
So, the equivalent expression is equal to (21x-25).
Please answer correctly! I will mark you as Brainliest!
Answer:
402 in^3
Step-by-step explanation:
We know that the volume of a sphere = 4 /3 πr^3
Variables:
r = 2in
Solve for 1 toy:
4 /3 πr^3
4/3 π (2in)^3
= 33.51 cubic inches for 1 toy
For 12 toys:
33.51 in^3 * 12 toys = 402.12 in^3 of water for all the toys
Round:
402.12 in^3 ≈ 402 in^3 of water
Please mark brainliest if this helped!
Please mark brainliest if this helped!
CAN SOMEBODY HELP ME PLEASE
HELP ME PLEASE! its very hard and i need it for tonight!!
Answer:
288 cm
Step-by-step explanation:
The formula to solve this polygon is: area = 1/2 x perimeter x apothem
To find the perimeter all you have to is find the sum of all sides together: 12+12+6+6+6+6= 48
Then the Apothem is, the "segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side." To find this you find the point from the middle to the edge which is 12cm.
Then you plug in this information into the polygon. 1/2 x 48 x 12= 288!
The polygon is 288 cm!
Hope this helps! :) Please let me know if it does, and mark as brainliest!
Plz help Major grade 6th grade
Answer:
A. 300h = 900
Step-by-step explanation:
V = lwh
900 = (25)(12)h
900 = 300h
300h = 900
Which expression is equivalent to the series
shown?
125
Σ 45η
n=17
Answer:
its c ^u^ and the next to it is b :D
Step-by-step explanation:
edg 21
Answer:
It’s c and the next one is b
Step-by-step explanation:
Just took edge
Rewrite the decimals as
fractions and percents
.08
Answer:
8/10 or 4/5 as a fraction. the percentage is 80%
Step-by-step explanation:
The population of a city is 218720.
The population has been increasing at the rate of 2% per year.
What was the population 3 years ago?
PLEASE HELP ME!!! I REALLY NEED TO KNOW THIS...
So my math teacher hates me and i did this for a answer:
5x³ + x² + 16 , this is a different question, and i got the points.
But for a answer that was right and she mared wrong i did this:
2x²+4
(I know it is right because my sister and me have the same math. and she got a 10/10 on this)
My sister's answer : 2x^2 + 4.
Are they the same or not?!
Answer:
The exact same
Step-by-step explanation:
^ just means put it up like 3^2=3²
Please help me with the three questions on the top ignore the writing
Answer:
1. (1/4 x 5/4 x 5/4) = 25/64
2. (2/4 x 2/4 x 6/4) = 3/8
3. (1/4 x 1/4 x 4/2) 1/8
Step-by-step explanation:
Thank me later.
What is 2.4 as a fraction in simplest for?
Answer:
2 2/5
Step-by-step explanation:
2.4 = 2 4/10 = 2 2/5 (all you had to do is divide by 2)
The answer would be 2 2/5 (could also be 1.2 as a decimal)
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Step-by-step explanation:
The
2
is in the ones place, and the
4
is in the tenths place.
2.4
means two and four tenths. So in fraction form it is 2 4/10
Answer link
Find the minimum or maximum value of the function. (Desmos)
The temperature went down 3 F. Each hour. What was the total temperature change after 5 hours ?
Caitlin ate 20 pieces of candy on Monday and 17 pieces on Tuesday. by what percent did she decrease her candy intake
She decreased her candy intake by 15%