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
"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
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
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.
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
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
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
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:
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
CDEF is kite and m
A. 14
B. 56
C. 28
D. 62
Answers
Answer:
Step-by-step explanation:
56
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)
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.
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!
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
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 :)
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.
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
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!
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
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
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
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
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:
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.
What is the slope of y= -4x-3
Answers
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
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.
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)
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:
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