The system of equations that satisfies the solution (3, -4) is:
4x + 1y = 8
2x - 3y = -17
How to Create a system where the solution is (3,-4)To create a system of equations where the solution is (3, -4), we can assign arbitrary values to the coefficients of the equations. Let's use the following values:
Equation 1: 4x + 1y = 8
Equation 2: 2x - 3y = -17
By plugging in the values (3, -4) into these equations, we can find the missing coefficients:
Equation 1: 4(3) + 1(-4) = 12 - 4 = 8
Equation 2: 2(3) - 3(-4) = 6 + 12 = 18 - 17 = -17
Therefore, the system of equations that satisfies the solution (3, -4) is:
4x + 1y = 8
2x - 3y = -17
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Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of $2150. What was the rate charged per hour by each mechanic if the sum of the two rates was $145 per hour?
Answer:
Step-by-step explanation: 20x+15(160-x)=2625
20x+2400-15x=2625
5x=225
x=45
160-x=115
rate of first mechanic= $45/hr
rate of second mechanic=$115/hr
1. Noah had $ 5.25 and Lin had $ 8.95. How much did they have altogether?
2. Diego had $ 21.32 and gave $ 9.50 to Elena. How much did he have left?
3. Andre deposited $ 24.50 into his bank account each week for 5 weeks. What was the total amount Andre deposited?
4. Four friends did a job together that paid $ 85.20. How much should each get if they all get an equal amount?
1. 5.25 + 8.95 = 14.20
2. 21.32 - 9.50 = 11.82
3. 24.50 × 5 = 122.5
4. 85.20 ÷ 4 = 21.3
Hope this helped! Please comment if you have any questions regarding how I got my answers. Stay safe.
Find the solution set of the inequality
8x - 8 ≤ -72
Answer:
x ≤ -8
Step-by-step explanation:
8x-8 ≤ -72
+8 +8
8x ≤ -64
divide by 8
8x/8 ≤ -64/8
x ≤ -8
is 10\3 a improper fraction? Explain
Answer: Yes
Step-by-step explanation:
An improper fraction is any fraction that has a numerator that is greater than the denominator
Solve for x.
7x - 3 = 6x -
x = 1/4
x=1
x=-1
x = -1/4
Someone help me please I can’t figure this answer out whatsoever
Answer:
Hello! :) have a good day!
The answer is x = -1/4
On a map ,the distance between two towns is 2.6 cm .The scale of the map is 1 cm :50 km. What is the actual distance between the two towns ?
A-100km
B-70km
C-130km
D-150km
And how
Answer:
C-130km
Step-by-step explanation:
50 km = 5 000 000 cm
=> Actual distance between 2 towns = 2.6 x 5 000 000 = 13 000 000 cm = 130 km
=> C-130 km will be the correct ans.
Answer:
C - 130
Step-by-step explanation:
We have two towns that have a distance of 2.6cm, at the same time we know the scale of the map is 1cm : 50km and the question being asked is the actual distance between the two towns.
What we have to do to find the answer is multiply 2.6 by 50, since we know that one centimeter is equal to 50 kilometers on the scale, this is what we must do.
50 * 2.6
Therefore, the distance between the two towns is 130 kilometers.
Please help me out thank you.
Answer:
A
Step-by-step explanation:
n>= -6 and n<= 3
hope this helps
Answer:
_____________
Jeff purchased 5 items at the same price and 1 item for $2.95. What was the individual price of the 5 items if Jeff’s total was 18.90 before tax?
Answer:
the answer is 3.19
Step-by-step explanation:
multiply 3.19x5 then add the 2.95
If 12 blueberries weigh 7.2 grams, find the weight of 32 blueberries.
Answer:
The weight of 32 blueberries is 19.2
Step-by-step explanation:
We need to find what one blueberry weigh:
7.2 divided by 12 = 0.6
0.6 x 32 = 19.2
Jasmine buys a toy horse for $36 the store increases their purchase by 10% what is the sales price of her toy horse
Answer:
39.6
Step-by-step explanation:
36*0.10 = 3.6
36+3.6=39.6
does this make sense more food less active less weight
Answer:
no
Step-by-step explanation:
because more food less active
so if you eat more food, and you are less active you don't exercise off the weight
So you would gain weight not lose weight
CAN YALL HELP PLSSSSSSSS!!! 8TH GRADE MATH!!!
where the picture???????????????
Please help what is the answer
5. Which of the following ways would NOT be a correct way to name this angle?
A. СВА
B. CAB
C. ABC
E. B
Answer:
B
Step-by-step explanation:
Please help, Find the perimeter
Place the circles in order from the circle with the largest area to the circle with the smallest area.
Answer:
explain how like uh 0Oo. done
Step-by-step explanation:
This circle graph shows how Jimmy spent his time during the last 24 hours.
How much more time did he spending watching T.V. and Talking on the Phone than he did Going to School?
8 hours
5 hours
1.92 hours
1.2 hours
Answer:
Excess time = 1.2 hour
Step-by-step explanation:
Given:
Total time = 24 hours
Talking on phone = 17 %
Sleeping = 33%
Going to school = 25%
Studying = 4%
Eating = 8%
Computation:
Watching TV percent = 100% - Talking on phone - Sleeping - Going to school - Studying - Studying - Eating
Watching TV percent = 100% - 17% - 33% - 25% - 4% - 8%
Watching TV percent = 13%
Time taken by school = 24 x 25%
Time taken by school = 6 hour
Time taken by watching T.V. and Talking on the Phone = 24 x (13% + 17%)
Time taken by watching T.V. and Talking on the Phone = 7.2 hour
Excess time = 7.2 - 6
Excess time = 1.2 hour
T Identity
Identify the terms,
and
Coeffectants
0.3+0.6ab+0.5b
Given:
The expression is
[tex]0.3+0.6ab+0.5b[/tex]
To find:
The terms and the coefficients.
Solution:
In an expression, the variables, constants and product of variable and constant separated by positive sign "+" are called terms.
We have,
[tex]0.3+0.6ab+0.5b[/tex]
Here, the terms are 0.3, 0.6ab and 0.5b. The coefficients of variables are 0.6 and 0.5 respectively and 0.3 is a constant.
A brace is needed at the corner of a table, as shown in the diagram.
9 in
6 in.
What is the approximate length of the brace? A. 130 inches
B. V45 inches
C. 117 inches. D.12 inches
E. 15 inches
Answer: it’s 30
Step-by-step explanation: I got it right on my exam
Can you please help me on this it says fully simplify using only positive exponents 5x8y7/25x4y
Answer:
1/5x^12 * y^8.
Step-by-step explanation:
((5x^8*y^7/25)x^4)(y)
=1/5x^12 * y^8.
Help please !!!! thnk you!!!!
x = 2
The line of symmetry is the line at which the parabola is the same on each side. With the line x = 2 , each side of the parabola is the same.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
I NEED HELP ASAP!!! I'LL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!!
Answer:
y=2 and x=3
Step-by-step explanation:
Answer:
y=2 and x=3 I think
Step-by-step explanation:
yes yes - drop the answer or ill drop ur ip
PLEASE ANSWER QUICK I WILL GIVE BRAINLISEST
The relative humidity is 100%, and the temperature is hot. In a few sentences, explain how the weather would change if the temperature drops and becomes cool.
Answer:
ohhh no typon hope it helps
Answer:
When the temperature drops the molecules form closer together causing the weather to feel cool. When the temperature drops the humidity drops as well causing there to be less chance of rain and why snow occurs instead of rain when humidity and temperature drops.
Step-by-step explanation:
If this helped you please rate this comment, give it a like, and maybe mark it as branliest!
GRADE 7 MATHEMATICS (QUARTER 2)
SUBJECT TEACHER:
GENERAL INSTRUCTION
SCORE:
Read and analyze carefully the given questions.
IL You may refer to your module pages 22 - 27.
Directions: Choose the letter of the best answer and write in the space provided before the number,
1. In the expression x2, 2 is what we call
A Base
B. Exponent
C. Multiply
D. Divide
2. Find the product of (x) (**)
A x?
B. 22
Сх
D. X
3. What is the product if 2x is multiplied by 5x?
A 10x
B. 7x2
C. 10x
D. 3x
4. Divide 32a9bc2 by 4a-0%
A. 8a+b+c2
B. 8ac2 C. 8a 0042
D. Sa+bc
5. Multiply 2x by 13xy
A. 26xy
B. 26x3y2
C. 26x
D. 26xy
6. What is the product of 2x3 +3x2 + 4x and x + 1?
A 2 + 2x + 3x2 + 4x B. 2X* + 5x + 7x2 + 4x C. 5x + 7x3 + 4x + 2x D. 7* *4x3 + 2x + 5x
7. What polynomial is obtained if 27x*y* + 18x2y3 + 9x^y is divide by 3xy?
A 9xy + 6x2y3 + 3y B. 9xy + 6x3y C 9xy + 18xy + 6x
D. 9x+y + xy + 3x
8. What expression will satisfy the given statement: (a + 3)(_) = a + 6a + 9
A a-3
B. -3-a
C. a + 3
D. -3 + a
9. Find the product of (x-1) and (x + 1).
A x² + 1
B. X?- 1
c. x² + x + 1
D. X2 - x + 1
10. What will be the first term of the product of (2x - 1)?
A 4x2
B. 4x
C. 1
D. 2x
11. Multiply (4y - 5d) (4y + 50)
A. 16y2 + 2502
B. 4y + 50 C. 16y2 - 25d2
D. 4y - 50
12. Evaluate ( x - 3)(x2 + 3x + 9)
A. x2 - 81
B. x - 27
C. X + 9x + 27
D. X - 9x + 27
13. Solve (x-6)
A. x2 + 12x - 36
B. x2 + 36 C. X2 - 36
D. x2 - 12x + 36
14. What is the area of the square whose side is 2x + 5?
A 4x2-20%-25 B. 4x2 - 20x + 25 C. 4x2 + 20x - 25
D. 4x2 + 20x + 25
15. Evaluate (x + 4)'
A x + 12x2 + 48x + 64 B. X- 12x2 - 48x - 64 C. X - 12x2 + 48x - 64 D. x + 12x2 - 48x + 64
GRADE 7 MATHEMATICSQUARTER 2 (WEEK 7-8)
Directions: Choose the letter of the best answer and write in the space provided before the number.
Answer:
1) B? (I think that is meant to be an exponet. if it is, you would write it as x^2)
2) I do not know
3) A (it would actually be 10x^2, but 10x is the closest to it
4) A makes the most sense
5) A
6/7/8) I do not know, sorry
9) A makes the most sense
10-15) I am sorry, I cannot solve it
Step-by-step explanation:
I am sorry you have to go through this in 7th grade
22 foot ladder is placed against a vertical wall of building with the bottom of the ladder standing on level ground 9 feet from the base of the building how high up the wall does the ladder reach
Answer:
20.1 feet
Step-by-step explanation:
We solve the above question using the Pythagoras Theorem
The Pythagoras Theorem =
Opposite² + Adjacent ² = Hypotenuse²
From the above question,
Opposite side = Height of the wall = x
Adjacent side = Distance from the base of the building = 9 feet
Hypotenuse = Length of the ladder = 22 feet
Hence:
x² + 9² = 22²
x² = 22² - 9²
x = √22² - 9²
x = √403
x = 20.0748599 feet
Approximately = 20.1 feet
Therefore, the height of the wall = 20.1 feet
Which quotient is greater than 3?
Question 4 options:
42 ÷ 19
40 ÷ 18
38 ÷ 14
36 ÷ 11
Answer:
36/11
Step-by-step explanation:
Answer:
36/15
Step-by-step explanation:
Your cousin has $90 to spend on video games and movies. The equation 30x+15y=90 represents this situation, where x is the number of video games purchased and y is the number of movies purchased. Graph the equation.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The intercepts can be found by setting one variable to zero and solving for the other.
y-intercept: 30·0 +15y = 90 ⇒ y = 90/15 = 6, point (0, 6)
x-intercept: 30x +15·0 = 90 ⇒ x = 90/30 = 3, point (3, 0)
The graph is easily made by plotting the intercepts and drawing a line through them.
__
I like to let a graphing calculator do the graphing.
find the area of the figure.
Answer:
Step-by-step explanation:
Split the figure into 2. You didn't provide the measurements, so if you have them, just take it the rhombus and make it into a rectangle and find the area of that. find the area of the rectangle. add the two values together. Based off of the image, I'd say that the rhombus would be 15 units and the rectangle would also be 15 units so the answer would be 30 units
Answer:
30
Step-by-step explanation:
area of a rectangle is width times length so 3 squares times 5 squares gives that part an area of 15 squares squared ooh tahts a fun word to say
umm and then area of a trapezoid is a+b/2 times h
so a and b are the top and bottom sides of the trapezoid so 5 squares on top and 5 squares on bottom so that equals 10 divided by 2 is 5 then times the height would be 3 so 5 times 3 equals 15
so 15 the area of the trapezoid plus the area of the rectangle 15 equals a total area of 30 squares squared
The street signs in a subdivision are in the shape of
circles. Each street sign has an area of 452.16 square
inches. What is the approximate circumference of each
sign? Use 3.14 for .
F 38
G 72
H 75
J 144