Answer:
................................
Answer:
23
Solving steps
We know x= -10-15y, so we can subtract it to the equation above
x = -10-15y
2x+5y=35
2(-10-15y) + 5y = 35
(Refer to the 1st image to solve for y)
Y = -11/5
We now know y= -11/5, so we can subtract it to the equation for x.
Y = -11/5
x = -10-15y
x = -10-15(-11/5)
(Refer to the 2nd and 3rd image to solve for x) (Make sure to look at both images first before writing something down)
x = 33 - 10
x = 23
Hopefully, everything was clear and concise. Please comment if you have any questions.
What was the total amount of water in the tank before it was drained
450 gallons
510 gallons
560 gallons
570 gallons
Total amount of water before it was drained will be 510 gallons.
What is rate?"It is a ratio in which the two terms being compared have different units."
For given question,
We have been given a table for the number of gallons of water left in the tank after being drained for two amounts of time.
First we find the rate at which the water was drained from the tank.
[tex]r=\frac{450-330}{30-10}\\\\ r=\frac{120}{20}\\\\ r=6~gallons~per~minutes[/tex]
Let the amount of water in the tank before it was drained = 'x' gallons
And the initial time = 0
Using the rate formula,
[tex]r=\frac{x-450}{10-0}\\\\ 6=\frac{x-450}{10}\\\\ 60=x-450\\\\x=450+60\\\\x=510~gallons[/tex]
Therefore, total amount of water before it was drained will be 510 gallons.
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The equation
5
w
+
16
=
61
models how many weeks,
w
, it takes a puppy to reach a weight of
61
ounces after being born. If the puppy gains the same amount of weight each week, how many weeks does it take the puppy to reach
61
ounces?
Answer:
9 weeks
Step-by-step explanation:
5w+16=61
Subtract 16 from both sides of the above equation.
5w+16-16=61-16
5w = 45
w = 9
Plsss help plssssssss
Answer:
x = 2
y = 6
Step-by-step explanation:
We have a system of equations and are asked to solve for x and y.
y = -2x + 10
y = 3x
Since both equations start with y, we can subtitute.
3x = -2x + 10
Solve for x :
Add 2x to both sides :
5x = 10
Divide 5 from both sides :
x = 2
Now substitute x in the second equation because it's more easier :
y = 3(2)
3(2)
6
y = 6
6
Divide 2m in the ratio 9-1
Answer:
Step-by-step explanation:
First, add up the two numbers in the ratio to get 8. Next divide the total amount by 8, i.e. divide £40 by 8 to get £5. £5 is the amount of each 'unit' in the ratio.
To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3.
Find x
16 ft
х
12 ft
Answer:
x = 20
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
x = [tex]\sqrt{400}[/tex] = 20
The aspect ratio, the ratio of the width to the height, of various computer monitors is listed in the table below.
Answer: Monitor C is the different one.
Step-by-step explanation:
The aspect ratio is the relationship between width and height.
So we only need to see the quotients between width and height for each monitor and see which quotient is different.
Monitor A:
Quotient = 1152/864 = 1.333....
Monitor B:
Quotient = 800/600 = 1.333...
Monitor C:
Quotient = 1920/1080 = 1.777...
Monitor D:
Quotient = 1600/1200 = 1.333...
We can see that the one with a different aspect ratio is monitor C.
HEEEEEEEEEEELLLLLLLLPPPPPPPPPPP. PPPPPPLLLLLLEEEEEEAAAAASSSSSEE When Laura started her career at the age of 24, she deposited $800 into a savings account that earns 8.75% interest compounded semiannually. If she makes no other deposits or withdrawals, find the total amount in the account when she retires at the age of 65.
Answer:
she mad 52,000
Step-by-step explanation:
she made 52,000 by working by her job
Subtract 17x2y2z−14xyz from −18x2y2z+4xyz
Answer:
The correct answer should be 130xyz.
(if correct, please mark brainliest. :))
Step-by-step explanation:
the algebraic expression for 24a+27
Answer:
3(8a+9) correct me if i'm wrong.
Step-by-step explanation:
A triangle has one angle that measure 75% and one that measure 19% what is the measure of the third angle
Answer:
86%
Step-by-step explanation:
angles in the triangle add up to 180
so we add 75% and 19%
to get 94%
then we subtract 180 by 94%
to get 86%
A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds after it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?
Answer:
9.099 seconds
Step-by-step explanation:
The rock hits the surface of the moon when is t is 0.
[tex]-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0[/tex]
Use the quadratic formula
t = -1.099 and 9.099
Since time can't be negative, the answer is t = 9.099
The distance Jane jogs in 20 minutes is 8 miles. At this rate, how many miles will he run in 60 minutes?
Answer: the answer is 24 miles
Step-by-step explanation:
Answer:
24 miles
Step-by-step explanation:
the ratio is 20:8
If we wanna find the ratio for 60 mins, you have to multiply both sides by three.
Then, we get 20/8 = 60/24
So, Jane jogged 24 miles in sixty minutes
Find the greatest common factor of 28 and 44.
Answer:
The GCF is 4
Step-by-step explanation:
Answer: 4
Step-by-step explanation:
look at a Multiplication chart find all factors and find the highest number for 28 and 44
HELP ILL GIVE 80 AND BRAINLIEST
Answer:
288 sq feet is my best guess
Step-by-step explanation:
20 POINTS / I need this ASAP Solve the Problem
Answer:
n= 7.5
Step-by-step explanation:
So to get the answer to this equation, we have to create different equivalent equations, in the base equation so that in the end all bases are equivalent to solve for n.
Exact Form:
7/2
Decimal Form:
3.5
Mixed Number Form:
3 1/2
Hope this was helpful! Have a great day! :)
Answer:
n = 4
Step-by-step explanation:
Properties of Exponents
We are required to solve the following equation:
[tex]\displaystyle 7^7\cdot 7^5=\frac{(7^n)^4}{7^4}[/tex]
Operating:
[tex]\displaystyle 7^{7+5}=\frac{7^{4n}}{7^4}[/tex]
[tex]\displaystyle 7^{12}=7^{4n-4}[/tex]
Equating the exponents:
4n - 4 = 12
Adding 4:
4n = 16
Dividing by 4:
n = 4
1). What must you do in order to solve the equation?
15 = m - 5
Answer:
20
Step-by-step explanation:
15 + 5= 20
Answer:
carry across the-5
minus turns into a +
looks like this
+5+15=m
Lori bought 6,000 grams of cayenne pepper and 2 kilograms of black pepper. How many grams of pepper did she buy all together?
Answer:
2000
Step-by-step explanation:
1 kilogram = 1000 grams
2*1000=2000
Directions: Identify the slope and y intercept. Then write an equation in y = mx + b form. 9) 4 3 2 1 0 -3 -2 0 1 2 -1 -1 -2 -3 -4 Slope = y - intercept = Equation = Type here to search i a
Answer:
dbjsbysdtsagkpadh2igdgdsdHAHAHAHAHAHAHAHAHAHAHAHAHAHAHHAHA
Answer:
Step-by-step explanation:
write each number using words 6,240,018,000 and 900,019
Answer:
This will help you
Step-by-step explanation:
The school store has 2400 pencils in stock and sells an average of 20 pencils per day. The manager reorders when the the number of pencils in stock is 600.
Answer:
90 days until the next restock
Step-by-step explanation:
2400 - 600 = 1800
1800/20 = 90 days
The area of a parallelogram is 8x^2+2x-6 and it's height is 2x+2. What is the base of the parallelogram?
Answer:
4x - 6
Step-by-step explanation:
Remember the formula for finding the area of a parallelogram;[tex](base)*(height)=(area)[/tex]
Manipulate the equation such that it is solved for the base;
[tex](base)=\frac{(area)}{(height)}[/tex]
So the equation that needs to be solved is;
[tex]\frac{(8x^{2} + 2x - 6 )}{(2x + 2)}[/tex]
Set up the division problem and solve;
_____4x - 6___
[tex]2x + 2[/tex] | [tex]8x^{2} + 2x - 6[/tex]
[tex]-(8x^{2}+8x)[/tex]
________
-6x - 6
[tex]+ (6x + 6 )[/tex]
________
0
Triangle LMN has L at (1, -1) and M at (2, 3). Triangle L'M'N' has L' at (-1, -1), M' at (3, -2), and N' is at (-3, 0). What are the coordinates of vertex N?
N (3, 0)
N (0, 0)
N (0, 3)
N (0, -3)
Answer:
The answer is N(0,-3)
Perform the indicated operation.
40−4
010
001
−8
−1
3
⇒ 40
⇒ 0
010
001
⇒ 4
−1
3
Multiply row 1 by the reciprocal of 4.
400
010
001
4
−1
3
100
010
001
−1
3
Answer:
yeah the answer is in the question just needed the points
Step-by-step explanation:
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
What is matrix?"A set of numbers arranged in rows and columns so as to form a rectangular array."
What is augmented matrix?"A matrix formed by combining the columns of two matrices to form a new matrix."
What are elementary row operations?"The mathematical operations that are performed on rows of a matrix."
For given question,
We have been given an augmented matrix.
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
We need to perform the row operation 4R3 + R1 → R1
To perform above row operation,
- First multiply the third row by 4. ([tex]4R_3[/tex])
- Add the new third row (4[tex]R_3[/tex]) with the first row.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
That is,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Now, we need to perform the row operation [tex]\frac{1}{4}[/tex] R1 → R1 on the above resultant augmented matrix.
To perform above row operation,
- Multiply the Row 1 by the reciprocal of 4.
- Then replace Row 1 with the result.
The resultant augmented matrix would be,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
Therefore,
[tex]\begin{bmatrix}4 & 0 & -4& |& -8 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\text{4R3+R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{4} & \bold{0} & \bold{0}& |& \bold{4} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
and,
[tex]\begin{bmatrix}4 & 0 & -4& |& 4 \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix} \xrightarrow{\frac{1}{4} \text{R1}\rightarrow \text{R1}} \begin{bmatrix}\bold{1} & \bold{0} & \bold{0}& |& \bold{1} \\0 & 1 & 0& |& -1 \\0 & 0 & 1& |& 3\end{bmatrix}[/tex]
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The hypotenuse of a right triangle measures 20 cm and one of its
legs measures 10 cm. Find the measure of the other leg. If
necessary, round to the nearest tenth.
I’m pretty sure 17.3 because of you do a^2+b^2=c^2 you get a^2= 10 square root 3 and that in a decimal is 17.3205
Answer:
8
Step-by-step explanation:
Can someone help me with this question please.
I’ll mark as a brainliest.
Answer:
A
Step-by-step explanation:
a²+ b² = c²
(3 ft)² + (9 ft)² = (H)²
Answer:
A
Step-by-step explanation:
in a right triangle, the longest side (across from the right angle) is the hypotenuse (denoted as 'c')
the legs are denoted as 'a' and 'b'
the Pythagorean Theorem allows you to find the missing side using this formula:
a² + b² = c²
In body paragraph 1, how many times is evidence (‘SAY”) cited? B) Same article? Yes or No
Answer:
Down below hope it helps :)
Step-by-step explanation:
The evidence "SAY" was only written once. It wasn't by the same article, the writer introduces two separate articles.
Kinda confused by this question but I think that's the answer.
Jared bought 14 books at the school book fair. The fair uses this equation, C=2.75b to determine the cost of the books C, for b number of books. How much did Jared pay for his books?
Answer:
$38.50
Step-by-step explanation:
First, multiply 2.75 by the number of books he purchased which was 14. When you do this you get the number 38.50 which is the cost for the books.
For which inequality is .r = 5 a solution?
А х<2
в. х> 9
ОО
) с. х< 18
OD. x> 42
Answer:
The answer is C x<18 indirectly saying 5<18 the other options has no match for it
a new computer comapny has its sales increasing by 3% each week. A second computer company has its sales decreasing by $100 each day. the first company had $500 in sales when the second company had $7000 in sales. after approximately how many weeks will the sales for the two companies be the same?
A. 9
B. 13
C. 49
D. 63
Answer:
49
Step-by-step explanation:
The average length of the dragon used in the performance is 12 feet. The dragon is divided into 9 sections. How long is each sections
Answer:
do it urself sorry i letterely dont know
Step-by-step explanation: