Answers
Answer:
(-4, -8)
Step-by-step explanation:
x - 5y = 36; 2x + y = -16
first, rearrange the first equation by adding 5y to both sides to isolate x
x = 5y + 36
then plug that in for x in the second equation and solve for y:
2(5y +36) + y = -16 distribute 2 to (5y + 36)
10y + 72 + y = -16 combine like terms by adding 10y and y
11y + 72 = -16 subtract 72 from both sides
11y = -88 divide both sides by 11
y = -8
next, plug y in and solve for x
x - 5(-8) = 36
x + 40 = 36 subtract 40 from both sides
x = -4
finally, check the solution by plugging x and y into both equations to see if they equal the expected value
(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓
2(-4) + (-8) = -8 -8 = -16 = -16 ✓
Related Questions
Given: f(1) = 3x– 7, 9(x) = 2x^2 – 3x +1, h(x) = 4x + 1, k(x) = –x^2+3
Find: (h o g) (x)
Answers
Answer:
(h o g) (x) = h(g(x))
Step-by-step explanation:
(h o g) (x) = h(g(x)) = 4(g(x))+1 = 4(2x^2 -3x + 1 ) + 1
= 4*2x^2 - 4*3x + 4*1 + 1
= 8x^2 - 12x + 4 + 1
= 8x^2 - 12x + 5
What is the slope of y= -4x-3
Answers
The clock shows the time that Ron left his home in the morning. He came home 7
hours and 35 minutes later. What time did Ron come home?
Answers
Answer: 14:35 hrs
Step-by-step explanation:
Missing time that Ron left was 07:00 hrs
Ron left the house at 07:00 hrs. If he arrived back to the house 7 hours and 35 minutes later, you can find out what time he arrived by simply adding the time he left to the time he stayed outside:
= 7 + 7hrs 35 minutes
= 14 hrs 35 minutes
= 14:35 hrs
what is the correct equation for a line with a slope of 5 and y-intercept of 2
Answers
5 is the constant rate of change, while 2 just adds on to 5 aka the y-intercept
What is the sum of 3/15 + 2/5 as a fraction
Answers
hope this helps :)
Answer: 3/5
Step-by-step explanation:
(3/15)+(2/5)= (3+6)/15= 9/15= 3/5
You must substitute the (x, y) and check that the POI makes both equations ___.
TRUE because they both check out.
FALSE because they cannot work.
Answers
A boat starts in Wilmington and sails 5 miles due east and then 3 miles due south. What is the approximate shortest distance back to Wilmington?
Answers
Answer:
I would say approximately 5.8 miles
Step-by-step explanation:
(This answer may be wrong)
Write the polynomial you created in factored form.
Answers
Answer:
Mr.poop was a very wise man he poop in the toilet and in the carpet he didn't know who he was but he was a very very wise man.
A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches a width of 3 inches and a height of 3 1/2
Answers
Answer:
94.5
Step-by-step explanation:
3x3.5x9=94.5
Hope this helps :)
Also please mark as branliest
does someone know tha answer??
Answers
Answer:
either 5 or 6 months
Step-by-step explanation:
Tom M Jerry
500 1 125
475 2 175
450 3 225
425 4 275
400 5 325
375 6 375
What is the distance between (-4,1) and (1, -3)?
Answers
Answer:
[tex]\sqrt{41}[/tex]
Step-by-step explanation:
if x:y=3:5 find the ratio 3×+4y:8x +5y
Answers
Answer:
29: 49
Step-by-step explanation:
Since x:y= 3:5,
[tex] \frac{x}{y} = \frac{3}{5}[/tex]
Cross multiply:
[tex]5x = 3y[/tex]
Divide by 5 on both sides:
[tex]x = \frac{3}{5} y[/tex]
[tex] \frac{3x + 4y}{8x + 5y} \\ = \frac{3( \frac{3}{5}y) + 4y }{8( \frac{3}{5}y) + 5y } \\ = \frac{ \frac{9}{5}y + 4y }{ \frac{24}{5}y + 5y } \\ = \frac{9y + 5(4y)}{24y + 5(5y)} \\ = \frac{9y + 20y}{24y + 25y} \\ = \frac{29y}{49y} \\ = \frac{29}{49} [/tex]
Thus, 3x+4y: 8x+5y= 29: 49.
express each of the following percentages as a fraction.28% 158%
Answers
Answer:
28% = 7/25 and 158% = 79/50
Step-by-step explanation:
To convert a percent into a fraction, you have to put the value of the percent over 100.
For 28%: 28/100
28 and 100 are both divisible by 4, so the fraction reduces to 7/25.
For 158%: 158/100
158 and 100 are both divisible by 2, so the fraction reduces to 79/50. If you teacher doesn't want you do use improper fractions, then 79/50 can further be reduced and becomes [tex]1\frac{29}{50}[/tex].
Hope this helped!
"whats the area of a circle with a circumference of 50.24 units"
pls help:)
Answers
Answer:
200.96 units^2
Step-by-step explanation:
50.24/Pi = 16 (diameter)
16/2=8 (radius)
area = Pi(r^2)
area = 3.14(8^2) = 200.96 units^2
If the circumference is pi times the diameter then you divide 50.24 by 3.14 and get 16. So the if the diameter is 16 the radius is 8. 8 squared is 64 times pi is 200.96. Hope that helps
WILL MARK BRAINLIEST 15 POINTS
What is the probability that you would land on red for the first spin and then land on purple for the second spin?
1/5
1/10
1/25
0
Answers
Answer:
Step-by-step explanation:
Z. 1/25 it’s just a guess theough
please help with this I will give the crown
4−a−a−a? solve this, please
Answers
Answer:
4-3a
Step-by-step explanation:
combine like terms
hope this helps :)
Olivia is making scarves. Each scarf will have 3 rectangles, and of the rectangles will be purple. How many purple rectangles does she need for 3 scarves?
Answers
Answer:
She needs 3 purple rectangles.
Step-by-step explanation:
If Olivia is making 3 scarves and each scarf will be a combination of 3 rectangles, out of the three rectangles, there will be purple meaning a scarf will have at least a purple rectangle.
If a scarf has a purple rectangle then 3 scarves will have;
1 x 3 = 3
3 rectangles.
On a Saturday, Saul can cut 4 lawns in 6 hours. If Mitch can mow lawns at the same rate, how long will it take him to mow 9 lawns?
12 hours
12 3/4 hours
6 hours
13 1/2 hours
Answers
Answer:
13 1/2 is your answer.
Step-by-step explanation:
With the same ratio the time taken Mitch to mow 9 lawns will be 13 + 1/2 thus option (D) is correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
Saul can cut 4 lawns in 6 hours.
The ratio of hours to lawns will be as,
6/4
Suppose the time taken to mow 9 lawns to Mitch is x hours.
The ratio of hours to lawns will be as
x/9
Since the rate is the same thus ratio must be the same.
x/9 = 6/4
x = 6/4 x 9
x = 13.5 = 13 + 1/2
Hence"With the same ratio, the time taken Mitch to mow 9 lawns will be 13 + 1/2".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
Explain the meaning of F(30) = 8,950 in this situation
Answers
Answer:
when you have something like f(x)=... that means
f means function
and every time you see an x or the variable in the parenthesis you plug in for that so it's f(x) =3x+1 then f(2)= 3x+1 every time you see x you plug in 2
CDEF is kite and m
A. 14
B. 56
C. 28
D. 62
Answers
Answer:
Step-by-step explanation:
56
A student answered 86 problems on a test correctly and received a grade 98%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number)
Answers
Answer:
88 total questions
Step-by-step explanation:
Answer:
88 problems
Step-by-step explanation:
86/0.98 = 87.76 ≈ 88
A car travels 55 miles per hour
1. The unit rate speed for this car is ___ miles per hour
2. if the car has driven 1/2 (0.5) hours, it traveled ___ miles
3. if the car has driven 1 1/2 (1.5) hours, it has traveled ___ miles
4 If the car has traveled 110 miles, it will take ___ hours
!! No explanation needed please! :) correct answer gets brainlesst !!
Answers
Answer:
1: 55
2: 27.5
3: 82.5
4: 6,050
Step-by-step explanation:
Find the value of the expression below when x=10x2 - 2(x +5)
Answers
Answer:
x=10.2-2(×+5)........ given
×=20-2×-10............... avoid the bracket
x=10-2×..............collect the like terms
x+2x=10-2×+2×...... add 2x from both side
3x=10................simplify
3x/3=10/3..........divide both side by 3
x= 3.333.............x is solved
Step-by-step explanation:
i hope it is help full
Evaluate the expression when a=10, b=9, and c=4: 2a +3
Answers
Answer:
23
Step-by-step explanation:
2(10) + 3
20 +3
23
HOPE IT HELPS YOU!
You are making lemonade. The recipe calls for 1 cup of lemon juice for 3 cups of water. Fill in the blanks to correctly complete the lemon juice to cups of water ratio to make the lemonade.
Answers
Answer:
3 cups of lemon= 9 cups of water
5 cups of lemon= 15 cups of water
8 cups of lemon = 24 cups of water
Step-by-step explanation:
all you have to do is multiply the cups of water by the cups of lemon.
What is the value of 1/2[-8+16-(-2 1/2)]
Answers
Answer:
21/4
Step-by-step explanation:
1/2[-8 +16 - ( -2 1/2)] = 1/2 ( - 8 + 16 + 2 1/2) = 1/2 ( 8 + 2 1/2) = 1/2 * [tex]10 \frac{1}{2}[/tex] = 1/2 * 21/2 = 21/4
480/X - 8 - 480/x = 3
Answers
Answer:
i don't know its ans thank you
Answer:
x є ø
Step-by-step explanation:
480/X - 8 - 480/x = 3, x є ø
-8=3 (+480/x -480/x cancels because +smth -the same number)
whats 2+2-1+17-9+29-9=
Hows your day
Answers
Answer:
31 is the answer of this question
Answer:
31 and my day was good how was yours?
Step-by-step explanation:
A jacket usually sells for $66.00. If the jacket is 40% off, and sales tax is 6%, what is the total price of the jacket, including tax?
Answers
Answer:
44.22
Step-by-step explanation:
100%-> 66
60%->39.60=
7%->4.62
4.62+39.60=44.22
Two systems of equations are shown. The first equation in system B is the original equation in system A. The second equation in system B is the sum of that equation and a multiple of the second equation in system A.
Answers
Answer:
[tex]x = 3.875[/tex]
[tex]y = 2.375[/tex]
Step-by-step explanation:
See comment for complete question.
Given
A.
[tex]x + 3y = 11 => x + 3y = 11[/tex]
[tex]5x - y = 17 => 15x - 3y = 51[/tex]
[tex]16x = 62[/tex]
B.
[tex]x + 3y = 11[/tex]
[tex]16x = 62[/tex]
Required
Determine the values of x and y
The first equation in B is:
[tex]x + 3y = 11[/tex]
In (a): 5x - y = 17 is multiplied by 3, then added to x + 3y = 11.
So, the second equation is:
[tex]5x - y = 17[/tex]
Solving (a) & (b):
[tex]x + 3y = 11[/tex] --- (1)
[tex]5x - y = 17[/tex] ---- (2)
Make x the subject in (1)
[tex]x + 3y = 11[/tex]
[tex]x = 11 - 3y[/tex]
Substitute [tex]11 - 3y[/tex] for x in [tex]5x - y = 17[/tex]
[tex]5(11 - 3y) - y = 17[/tex]
Open bracket
[tex]55 - 15y - y = 17[/tex]
[tex]55 - 16y = 17[/tex]
Collect Like Terms
[tex]- 16y = 17-55[/tex]
[tex]- 16y = -38[/tex]
Solve for y
[tex]y = \frac{-38}{-16}[/tex]
[tex]y = \frac{38}{16}[/tex]
[tex]y = 2.375[/tex]
Substitute 2.375 for y in [tex]x = 11 - 3y[/tex]
[tex]x = 11 - 3 * 2.375[/tex]
[tex]x = 11 - 7.125[/tex]
[tex]x = 3.875[/tex]
Answer:
(4,3)
Step-by-step explanation:
I took the test.