Answer:
Solve the equation for x.
The simplified system is the arbitrary solution of the original system of equations.
Y=x+14
y=18−x2
Reorder 18
and −x2.
y=−x2+18
Y=x+14
Solve the equation for Y.
Y=−2y+50
x=36−2y
Reorder 36
and −2y.
x=−2y+36
Y=−2y+50
Step-by-step explanation:
Step-by-step explanation:
given
[tex]y = x + 14 \\ y - x = 14 \\ - x + y = 14[/tex]
as equation 1
and
[tex]x + 2y = 36[/tex]
as equation 2.
We will now use elimination method to solve simultaneous equations.
We will use equation 1 + equation 2 to eliminate x and solve for y.
[tex] - x + x + y + 2y = 14 + 36 \\ 0 + 3y = 50 \\ 3y = 50 \\ y = 50 \div 3 \\ = \frac{50}{3} \: or \: 16 \frac{2}{3} [/tex]
Now substitute y into equation 1.
[tex]y = x + 14 \\ x + 14 = y \\ x = y - 14 \\ x = 16\frac{2}{3} - 14 \\ = 2 \frac{2}{3} [/tex]
Hello Brainly pls help me factorise x² - 1
Answer:
Step-by-step explanation:
( − 1 ) ( + 1 )
What’s is the answer to this?!
Answer:
Step-by-step explanation:
The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
a²+b²=c²
30²+72²=c²
900+5184=c²
[tex]\sqrt{6084} =c^{2}[/tex]
c=[tex]\sqrt{6084} =78[/tex]
Hope this helped!!
Answer:
78
Step-by-step explanation:
What is the lateral area of the can below that has a diameter of 8 and a height that is three times the radius? Round to the nearest tenth. [Hint: Find the radius first]
Answer:
402.1
hope it helps
please mark Brainliest
HELP PLEASE DUE SOON!!!
Answer:
37+23
Step-by-step explanation:
I searched it up. someone else asked the exact same question. I hope it's correct though.
Answer:
The larger number is 37 and the smaller number is 14.
Step-by-step explanation:
Let's solve this problem in terms of x and y:
x+y=60
x-y=14
x will be the larger number while y will be the smaller number.
When we add both those equations together, we get 2x=74 since y-y=0. Now we do 74÷2 which equals 37 so x=37. Finally we know that x=37 so our y must be the remaining part since x+y=60. We simply subtract 37 from 60 and get our smaller number, 23.
I hope this helps :)
find to the nearest degree the size of each angle of a regular heptagon
plsss i need answers nowwww
Answer:
That's the question
Step-by-step explanation:
3. Find mZP and mzQ.
0
P.
1290 R
T
910
S
Answer:
∠ P = 51°, ∠ Q = 89°
Step-by-step explanation:
The opposite angles in a cyclic quadrilateral aresupplementary , then
∠ P = 180° - 129° = 51°
∠ Q = 180° - 91° = 89°
Please answer this is the last question :(
Answer:
A & C
Step-by-step explanation:
7.
If cos θ= 0.866, find θ, writing your answer to the nearest degree.
See attachment for reply and answer.
Can someone help me pls
all of them because it is not a straight line
1. Explain the most common types of sampling methods. If you needed to survey a city about a new road project, which sampling method would you choose and explain the sample method.
Answer:
. check in cu.mu.com for the answer
correct this for brainiest:):):):):):)
Answer:
56.........................
hey can you help me fast!!
Answer:
should be the 2nd.............
Determine the dot product ⟨4,−5⟩⋅⟨3,−2⟩
Answer: 22 the answer is 22 but id.k if thats what ur looking for
Step-by-step explanation:
the formula s= (n-2) * 180 can be used to find the sum of the interior angles of a polygon with n sides. Which formula can be used to find the number of sides a polygon has?
Answer:
sum of interior angle of a polygon/180=n-2
somebody please help it has been half an hour and no one has answerd my quesion :(
Step-by-step explanation:
incorrect question I think as x got eliminated while the question is solved
What are the values of x and y, in the given figure?
I'll give brailiest to the first response
Answer:
y = 52
x = 5
Step-by-step explanation:
Side BC and Side BA are congruent sides ( indicated by the two dashed lines. )
This meaning that their opposite angles are also congruent
Side BC's opposite angle is ∠A and side BA's opposite angle is ∠C
Hence ∠A ≅ ∠C
And because ∠A = 52°, ∠C also equals 52°
Hence y = 52°
Now we want to find x
We can do this by creating an equation using the triangle angle rule which states that the angles in a triangle add up to equal 180
so...
180 = 14x + 6 + 52 + 52
now we solve for x
step 1 combine like terms
52 + 52 + 6 = 110
now we have 180 = 110 + 14x
step 2 subtract 110 from each side
180 - 110 = 70
110 - 110 cancels out
now we have 70 = 14x
step 3 divide each side by 14
14x/14 = x
70 / 14 = 5
we're left with x = 5
Help me please :( I will give u 10 points :)
Answer:
See below & graph.
Step-by-step explanation:
Domain: All real numbers.
Range: y <= 7
Axis of symmetry: x = -b/2a = 1
Vertex: (1, 7), label it on the graph.
A small school bus holds 26 students. A larger school bus holds 150% as many students as the small school bus. How many students does the larger school bus hold?
Please help :/
Answer:
39
Step-by-step explanation:
To solve this problem we can use a proportion:
150 : 100 = x : 26
x = (26*150)/100 = 39
Answer:
39
Step-by-step explanation:
150% of 26 is 39
on a calculator do 26 times 150% and it equally 39
another way to do it is do 26 divided by 2 which equals 13, then add 13 to 26 and you get 39
Liam plays guitar in a band called Cool. The
band is paid $421.74 for every performance. If
Cool averages 3.5 shows per month, how much
money will the band earn in 3 months?
Answer: $4,428.27
Step-by-step explanation:
First you have to find out how many shows are in three months. If there is 3.5 shows in one month, multiply this by three to get the amount in 3 months.
3.5 x 3 = 10.5 shows
Now multiply the amount the band makes in one show by the number of shows.
$421.74 x 10.5 shows = $4,428.27 over the course of three months.
Hope this helps!
NO LINKS PLEASE!!
Solve the system of equations by substitution.
-5x + y = 3
7.5x - 1.5y = 3
Answer:
the answer is no solutions
Step-by-step explanation:
please help- how to find volume of a cilinder the diameter is 4cm and the height is 3cm
Answer:
V=π(d
2)2h=π·(4
2)2·3≈37.69911cm³
Step-by-step explanation:
PLS! PLSS! PLSSS! HELP ME!
Alright, so first we should add up all of the teachers to get the gist of how many there are in each school.
I got 50 in both North MS and West MS.
F. Half of the teachers would be 25. music+cooking=25 teachers. Correct.
But now, we need to find percentages.
Convert the problem to an equation using the percentage formula: P% * X = Y.
30%x50= 15. Does 9+6 equal 15? Yes, F is Correct.
G. A quarter of 50 is 12.5. (There can't be decimals of teachers though.) At West MS 11 teachers enjoy reading and 14 enjoy outdoor recreation. 11 is less than 12.5 and 14 is more. Incorrect.
H. A majority means more than half in simple terms. Do more than half of the teachers at North MS enjoy rec and cooking? (6+19) It's tricky as there's 25 teachers. However, it is not greater than 25 so it is not a majority. Incorrect.
J. Less than half of 50 teachers at West MS enjoy rec and music. (14+15=29)
Incorrect.
Hope this helped! Khan Academy is a fantastic resource.
Answer:
F.) Half of the teachers at West MS enjoy cooking and music, while only 30% of the teachers at North MS enjoy cooking and music.
Step-by-step explanation:
NORTH MS → TOTAL: 50 TEACHERS
R:16 C:6 OR:19 M:9 → R:32% C:12% OR:38% M:18%
WEST MS → TOTAL: 50 TEACHERS
R:11 C:10 OR:14 M:15 → R:22% C:20% OR:28% M:30%
F.)
Half of the teachers at West MS enjoy cooking and music ✓
30% of North MS enjoy cooking and music ✓
This statement is TRUE.
G.)
Over a quarter of West MS teachers enjoy reading
Less than a quarter of West MS teachers enjoy outdoor recreation
This statement is FALSE.
H.)
The majority of teachers at North MS enjoy outdoor recreation and cooking
This statement is FALSE.
J.)
Less than half of West MS teachers enjoy outdoor recreation and music
This statement is FALSE.
Which number line represents the solutions to |x + 4| = 2?
Answer:
x=-2, -6 > pick the first answer choice !!!!!
Step-by-step explanation:
Let's solve your equation step-by-step.
|x+4|=2
Solve Absolute Value.
|x+4|=2
We know either x+4=2or x+4=−2
x+4=2 (Possibility 1)
x+4−4=2−4 (Subtract 4 from both sides)
x=−2
x+4=−2 (Possibility 2)
x+4−4=−2−4 (Subtract 4 from both sides)
x=−6
Answer:
x=−2 or x=−6
Answered by the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!! BAHAHAHAHAHA
A water tank holds 24,000 gallons. How many ours will it take for 2/3 of water to be used if the water if the water is used at an average rate of 650 gallons per day
Answer: 591 hours
Step-by-step explanation:
First find out what 2/3 of the water is:
= 2/3 * 24,000
= 16,000 gallons
650 gallons are used per day so the time it takes in days to use the above is:
= 16,000 / 650
= 24.62 days
There are 24 hours in a day. The amount of time it will take to use this amount of water in hours is:
= 24.62 * 24
= 590.88
= 591 hours
Jamie got 4 out of 10 questions correct on his test. What percent of his
test did he get correct? *
Your answer
Answer:
40%
Step-by-step explanation:
Answer:
Jamie got 40% of his test correct.
Step-by-step explanation:
4 out of 10 = [tex]\frac{4}{10}[/tex]
= [tex]\frac{40}{100}[/tex]
= 40%
hope this helps :)
The table shows the number of students who had a job during the summer. Which statement is true?
Grade Level
Students who had a
summer job
Freshman
22
Sophomore
10
Junior
20
Senior
22N
ОООО
The probability of a working sophomore is greater than any other student.
The probability of a working junior is greater than any other student.
The probability of a working senior is as likely as a working sophomore.
The probability of a working freshman is as likely as a working senior.
Answer: d
Step-by-step explanation:
Please help asap. No links for a answer or I will report you
8th Grade
Answer:
S
Step-by-step explanation:
An emergency fund is defined as a savings account that has a balance equal to at least two months' living
expenses. An article in a financial magazine claims that 80% of American adults do not have an emergency fund.
To investigate this claim, a financial advisor selects a random sample of 150 American adults and finds that 112 do
not have an emergency fund. The financial advisor would like to know if the data provide convincing evidence that
the true proportion of Americans who do not have an emergency fund is less than 80%. What are the appropriate
hypotheses for this test?
Answer:
a H I o p=0.80 vs. Ha less than 0.80, where P equals the true proportion of All American adults who do not have an emergency fund
The appropriate hypotheses for this test are:
H0: p ≥ 0.80
Ha: p < 0.80
We have,
The appropriate hypotheses for this test are:
Null Hypothesis (H0):
The true proportion of Americans who do not have an emergency fund is equal to or greater than 80%.
Alternative Hypothesis (Ha):
The true proportion of Americans who do not have an emergency fund is less than 80%.
Symbolically, the hypotheses can be represented as:
H0: p ≥ 0.80
Ha: p < 0.80
Where p is the true proportion of American adults who do not have an emergency fund.
To determine whether the data provide convincing evidence against the null hypothesis,
We can conduct a hypothesis test using a significance level (alpha) of 0.05.
If the p-value is less than alpha, we can reject the null hypothesis and conclude that the true proportion of Americans who do not have an emergency fund is less than 80%.
Thus,
H0: p ≥ 0.80
Ha: p < 0.80 are the appropriate hypotheses for this test.
Learn more about hypotheses here:
https://brainly.com/question/28331914
#SPJ2
The diagram shows a field ABC.
AC = 240 m
Use the sine rule to calculate AB.
Answer:
AB ≈ 312.1 m
Step-by-step explanation:
Using the Sine rule in the triangle, then
[tex]\frac{AB}{sin85}[/tex] = [tex]\frac{240}{sin50}[/tex] ( cross- multiply )
AB × sin50° = 240 × sin85° ( divide both sides by sin50° )
AB = [tex]\frac{240sin85}{sin50}[/tex] ≈ 312.1 m ( to 1 dec. place )
Find the surface area of the cone. Round your answer to the nearest tenth!!
GIVING BRAINLIEST
Formula:
Shape = Cone
Radius (R) = 1
Height (H) = 4
Formula of surface area (cone) = A=πr(r+h2+r2)
How to find a surface area of a cone?
Using the formula of the cone (A=πrl+πr2) We add the formula so the radius and the height (l=r2+h2). Since we are solving for a our formula will end up looking like (A=πr(r+h2+r2)=π·1·(1+42+12)≈16.09471). Which will equal our answer which is 16.09471. Round to the nearest tenth will be 16.09.
Answer: 16.09
Hope this helps.
Answer:
16.09
Step-by-step explanation:
16.09