Answer:
(6,-7)
Step-by-step explanation:
subtract them:
-8x - 5y = -13
-4x - 5y = 11
you get
-4x = -24
so x = 6
plug x into the second equation:
-24 - 5y = 11
-5y = 35
y = -7
so your solution is (6,-7).
Answer:
Your solution is (6, -7).
Step-by-step explanation:
Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.
-8x - 5y = -13
-4x - 5y = 11
Let's change the second equation into one with one variable on each side.
-5y = 4x + 11
y = -4/5x - 11/5
Now, plug this into your first equation.
-8x - 5(-4/5x - 11/5) = -13
Distribute the -5 sign.
-8x + 4x + 11 = -13
Combine the like terms.
-4x + 11 = -13
-4x = -24
Isolate x by dividing both sides by -4.
x = -24/-4
x = 6
Now plug this back into either equation.
y = -4/5(6) - 11/5
Multiply.
y = -24/5 - 11/5
Subtract.
y = -35/5
Simplify.
y = -7
Your solution is (6, -7).
Check this by plugging in these values into the equation you have not checked yet.
-8(6) - 5(-7) = -13
-48 + 35 = -13
-13 = -13
Your solution is correct.
Hope this helps!
What is problem number 2??
Answer:
QR
Step-by-step explanation:
The question is just trying to see if you can read the order of the lines.
PQ is the first 2 letters of PQR so XY has to be the first 2 letters of XYZ
Answer
YZ is the second and third letters of xyz.
QR are the 2nd and 3rd letters of PQR
Select all of the trips that would take 2 hours.
1. Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart.
2. Walk 3 miles per hour to school, which is 1.5 miles away.
3.Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.
Answer:
1 and 3
Step-by-step explanation:
80 (mph) × 2 (hours) = 160 (miles)
60 (mph) × 2 (hours) = 120 (miles)
The product of 84.12 and which number will have three decimal places?
4.22
10.51
14.163
19.3
Answer:
14.163
Step-by-step explanation:
i do not now if that right but
Please help explain how to do this I will give brainliest!!
Answer:
30 feet for each sloped beam
Step-by-step explanation: if you tak
the 8 away from the bord that is holding up the sloped beams it leaves you with 60 feet all together for both beams added up
Scott took out a 72 month loan for $35,000 to purchase a new boat. If Scott paid $8,925 in simple interest, what was the interest rate?
Answer:
Option 4.7% = 3,500 x 4.7% =$164.50 simple annual interest.
82.25 this is what Scott will pay in 6 months at simple interest.
Option 4.2% =3,500 x (1 +0.042/12)^6 =3,500 x 1.0035^6=$3,574.15.
3,500 =$74.15 this is what Scott will pay in 6 months at compounded interest.
The compound option is cheaper by: 74.15 =$8.10.
Answer: 4.75
Step-by-step explanation:
Factor the following using GCF and show work. 4x^5-28x
Answer:
4x(x^4-7)
Step-by-step explanation:
closest value of 19.7dived 0.0485
2x(x - 1) + 3x – 3 = 0
Answer:
x = -3/2 or x = 1
Step-by-step explanation:
Explain the steps
3(2y + 5) = -21
Answer:
-6
Step-by-step explanation:
3(2y+5)=-21
2y+5=-21/3
2y+5=-7
2y=-7-5
2y=-12
y=-12/2
y=-6
11) Elsa took out a $2,200 loan with a 2-year term to buy a car at a 6% simple interest rate. How much will she have to pay IN INTEREST? *
Answer:
$264
Step-by-step explanation:
A 6% interest means that you have to pay 6% of the loan every period (which in this case is a year because it isn't stated anywhere). 6% of $2.200 is equal to $132, so for a loan of 2 years Elsa has to pay [tex]\$132 \cdot 2 = \$264[/tex], which is exactly what the question was asking for.
Work out the fraction that is halfway between 1/2 and 1 1/4
Answer:
The fraction that is halfway between 1/2 and 1 1/4 is: 5/8
Step-by-step explanation:
Given the fractions
1/2 and 1 1/4
In order to determine the fraction that is halfway between 1/2 and 1 1/4 first, we need to add the fractions and then divide the result by 2.
1)
Add the numbers
[tex]\frac{1}{2}\:+\:1\frac{1}{4}[/tex]
as 1 1/4 = 3/4, so
[tex]\frac{1}{2}\:+\:1\frac{1}{4}=\frac{1}{2}+\frac{3}{4}[/tex]
Apply fraction rule: [tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]
[tex]=\frac{2+3}{4}[/tex]
[tex]=\frac{5}{4}[/tex]
2)
Divide by 2
[tex]\frac{5}{4}\div \:2[/tex]
Convert element to fraction: [tex]2=\frac{2}{1}[/tex]
[tex]\frac{5}{4}\div 2=\frac{5}{4}\div \:\frac{2}{1}[/tex]
Apply fraction rule: [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]
[tex]=\frac{5}{4}\times \frac{1}{2}[/tex]
Multiply fractions: [tex]\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}[/tex]
[tex]=\frac{5\times \:1}{4\times \:2}[/tex]
[tex]=\frac{5}{8}[/tex]
Conclusion:
Therefore, the fraction that is halfway between 1/2 and 1 1/4 is: 5/8
3(3x – 3) = 27
Solve!
Ans
Step-by-step explanation:
x=4 should be the answer
Mr. Gonzalez is designing a planter box shaped like a rectangular prism. The width of the box is 6 feet, and the length is 4 feet. Find the height of the box if the volume is 150 cubic feet.
Answer: 6.25
Step-by-step explanation:
6•4•(6.25)= 150
20 customers are eating dinner at a local restaurant. The restaurant accepts cash or credit as forms of payment.
Of the 20 customers, 4 have enough cash to pay for their meal, 16 have a credit card, and 3 have enough cash
and a credit card. Using this information, answer each of the following questions.
Let A be the event that a randomly selected customer has enough cash and B be the event that a randomly
selected customer has a credit card.
What is P(A), the probability that a customer has enough cash?
What is P(B), the probability that a customer has a credit card?
What is P(A and B), the probability that a customer has enough cash and a credit card?
What is P(A or B), the probability that a customer has enough cash or a credit card?
A bracelet that regularly sells for $44 is on sale for 15% off. Find the sale price of the bracelet. Use dollar signs with your answer. *
Answer:
The answer would be $37.40
Step-by-step explanation:
The sale price would be the current price which is 44 - 15% of itself.
It is 15 percent off, so 44 x 0.85 would be the equation, since the now price is 85 percent of the original price.
44 x 0.85 = 37.40
dollar signs ;)
Answer:
$33.00
And here's a link to the quiz i think your taking. (Its a answer key)
https://quizizz.com/admin/quiz/5c90d54dd7b2aa001fb8e8b8/-applications
help me pleaseeee :)
Answer:
6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
You deposit $8500 in an account that pays 1.78% annual interest. Find the balance after 10 years when the interest is compounded
monthly
The balance after 10 years is $
Step-by-step explanation:
step 1. let's call the balance A, the initial amount P, the yearly rate r, the number of compounds yearly n, and the time t.
step 2. A = P(1 + r/n)^(nt) (compounding equation)
step 3. A = 8500(1 + .0178/12)^((12)(10))
step 4. A = 8500(1.00148334)^120
step 5. A = $10,154.68.
A parallelogram that is not a rectangle is graphed in a coordinate plane. The endpoints of a diagonal of the parallelogram
are (1, -3) and (9,2).
• What could be the coordinates of the endpoints for the other diagonal ?
Explain your reasoning. Be sure to include any geometric theorems you used in your reasoning.
Answer:
The other diagonal can be anywhere so long as the slope is 5/8 and the endpoints are sqrt(89) distance apart.
I don't know the geometric theorems :( but I hope this first part is helpful
using the properties of the special parallelogram, solve for x and y
Answer:
y = 4
x= 27
Step-by-step explanation:
boom roasted.
In the diagram, the radius of the outer circle is 2x em and the radius of the inside circle is 6 cm. The area of the shaded region is 220 cm? What is the value of x2
Answer:
Answer: 8 (second choice)
Step-by-step explanation:
Area of a Circle
Given a circle of radius r, the area is calculated by the formula:
[tex]A=\pi\ r^2[/tex]
There are two circles in the diagram. The outer circle has a radius of r1=2x, thus its area is:
[tex]A_1=\pi\ (2x)^2[/tex]
The interior circle has a radius of r2=6 cm, thus its area is:
[tex]A_2=\pi\ 6^2=36\pi[/tex]
The shaded area is obtained by subtracting A1-A2:
[tex]A=\pi\ (2x)^2-36\pi[/tex]
The value of the shaded area is given as 220π cm2. Equating:
[tex]\pi\ (2x)^2-36\pi=220\pi[/tex]
Dividing by π:
[tex](2x)^2-36=220[/tex]
Adding 36:
[tex](2x)^2=220+36=256[/tex]
Taking square root:
[tex]2x=\sqrt{256}=16[/tex]
Dividing by 2:
x = 8 cm
Answer: 8 (second choice)
What is the distance between (5, -1) and (5,-4)
1 unit
3 unit
4 unit
5 unit
Answer:
3 units
Step-by-step explanation:
If an airplane travels a distance of 500 km in 5 hours heading north, what is its velocity?
PLEASE SHOW WORK!
Answer:
12
Step-by-step explanation:
Given a set of data with the Regression Line: y = 3.5x + 18.5
What is the residual value for the ordered pair (100, 370)?
Answer:
1.5
Step-by-step explanation:
[tex]y=3.5*100+18.5=368.5\\rv=370-368.5=1.5[/tex]
HELP ASAP I WILL GIVW YOU BRAINLIEST!!!!!!
Answer:
Their beliefs over who should have succeeded the Prophet Muhammad is the key theological difference between the two. Sunnis also have a less elaborate religious hierarchy than Shiites have, and the two sects' interpretation of Islam's schools of law is different
Step-by-step explanation:
hope this helps :)
Answer:
Shia people think that imam ali is the 1st khalifa or should be the first, because the profet Muhammed said that " I leave in you the two heavens, the Book of God, and my family" and after that the prophet rasied Imam Ali hand and said: " Whoever believe that i was the prophet should believe that Ali is the person in charge after I go meet Allah.
and so shia thinks that he is the person in charge after the prophet Muhammed.
Sunni people say that omar and abo baker are the people in charge. wich is so disrespecful to the prophet, because he said that Ali is incharge of the muslims by-step explanation:
the difference are shia believes that Imam Ali is the first khalifa and the sons of ali are the once incharge after him.
5k - 9 - 2k + 3 = 3k - 6
help me with this pls
Answer:
I'm not sure I'm too lazy to do it lol
Step-by-step explanation:
Can someone explain me?:(
If possible step by step explanation. thank you!
Answer:
A
Step-by-step explanation:
[tex]\frac{(3x^{2} )^\frac{1}{2} }{3^\frac{1}{2} } =3[/tex]
[tex](3x^2)^\frac{1}{2} = 3^\frac{1}{2} x[/tex]
Remember that [tex]\frac{x^b}{x^c} =[/tex]x^(b-c)
Using that [tex]\frac{3^\frac{1}{2}x }{3^\frac{1}{2} }[/tex]=3^(1/2x-1/2)=3^((x-1)/2)
[tex]3^\frac{x-1}{2} =3^1[/tex]
So we can say: [tex]\frac{x-1}{2} =1[/tex], because the bases are the same
We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.
In the expression, 2y2 + 4x – y + x2 +8, what is the coefficient
of x2 ?
A- 8
B- 2
C- 1
D- 4
Answer:
C. 1
Step-by-step explanation:
There is no number before the [tex]x^2[/tex] term and the term is positive, so the coefficient is [tex]1[/tex] (which is the only number we can refrain from writing as a coefficient, hence the reasoning).
If an investment's value can be modeled with A= 325 (1+.027/12)^12t
then which of the following describes the investment?
Answer:
Step-by-step explanation:
It's an investment that has a nominal interest rate of 2.7% compounded monthly
3. The investment has a nominal rate of 27% compounded 12 times per year
Given that,
The investment value should be [tex]A= 325 (1+.027\div 12)^12t[/tex].Based on the above information, the information is as follows:
The above formula represent that the investment should have the nomibal rate of 27% that compounded 12 times per year.
Learn more: brainly.com/question/17429689
