Answer: (x, y)=(0, -6）
Step-by-step explanation:
To solve a system of equations there are usually 3 general ways.
- Elimination
- Substitution
- Augmented Matrix
Since the question is asked to use elimination, we are going to use it.
--------------------------------------------------------------------------------------
-5x+4y=30
2x+3y=-12
-10x+8y=60
10x+15y=-60
23y=0
y=0
------------------------------------------------------------------------------------------
Substitute the y value into any one of the equations
2x+3y=-12
2x+3(0)=-12
2x+0=-12
x=-6
Hope this helps!! :)
Please let me know if you have any questions
Two identical number cubes are shown in the picture. The edge length of these number cubes is 3 centimeters. What is the combined volume of the two number cubes in cubic centimeters? 27 cm3 9 cm3 18 cm3 54 cm3
Answer:
They are both identical cubes which makes it much easier.
Work out the volume for just one first.
The formula for volume is:
l x w x h
However, since it is a cube, all lengths are the same.
3 x 3 x 3 = 27
Now multiply it by 2 to get the volume of both combined:
27 x 2 = 54.
In short, your answer is 54cm 3
Hope This Helps You!
Good Luck :)
Step-by-step explanation:
Can you guys give a Ratio problem for my class?
Answer:
no
Step-by-step explanation:
Which expression is equivalent to ^3 square root of 54x + 3^3 square root of 2x, if x ≠ 0
Answer:
A
Step-by-step explanation:
[tex] \sqrt[3]{54x} + 3 \sqrt[3]{2x} = \\ = \sqrt[3]{2x \times 27} + 3 \times \sqrt[3]{2x} \\ = 3 \sqrt[3]{2x} + 3 \sqrt[3]{2x} = 6 \sqrt[3]{2x} [/tex]
2y = -x-18
x-intercept:
y-intercept:
Answer:
Step-by-step explanation:
3. By rounding each number to the nearest ten find the value of
19 x 31
59
Answer:
20 X 30
Step-by-step explanation:
i dont know what is 59 anyways 59 will be 60
represent 35 in many ways
Answer:
............
Step-by-step explanation:
Thirty five
30+5
Find two fractions, when multiplied together make 3/4
Step-by-step explanation:
9/12 if we divided by 3
6/8 if we divided by 2
hope it helps u
The two fractions when multiplied together make 3/4 are, 1/2 and 3/2.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
The first fraction can be 1/2 when multiplied by the second fraction 3/2.
Therefore,
The two fractions, when multiplied together make 3/4 is (1/2)×(3/2).
= 3/4.
learn more about fractions here :
https://brainly.com/question/10354322
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HELP WITH THIS ITS URGET
For a walk-a-thon a sponsor committed to give you a flat free of $5 plus $2 for every mile m you walk
Answer:
$45
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW;
For a walk-a-thon a sponsor committed to give you a flat fee of $5 plus $2 for every mile you walk. If you walk for 20 miles, what is the total amount you will collect from your sponsor at the end of the walk-a-thon?
$5 was given for participants of the walk-a-thon.
$2 was given for every miles won
Then, for "y" number of miles, the the amount that can be won is ( 2×y)= 2y
The Total amount that can be given
= (5 + 2y)
Where "y" is the miles value
Then, if you walk for 20 miles, The Total amount that can be given
= 5 + 2(20)
= 5+ 40
= $45
The length of a basketball court is twice its width. The perimeter is 150 feet. Find the length and width of the basketball court. On your worksheet, solve the question and write your answer below. What is length of the basketball court? What is the width of the basketball court?
Answer: W=25 and L=50
Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.
Answer:
The width of the basketball court is 25 feet and the length is 50 feet
Step-by-step explanation:
Equations:
Let's make:
x = width of the basketball court
2x = length of the basketball court
The perimeter of the court is twice the width plus twice the length:
P = 2x + 2(2x)
P = 2x + 4x = 6x
It's known to be 150 feet, thus:
6x = 150
Dividing by 6:
x = 150/6
x = 25 feet
2x = 50 feet
The width of the basketball court is 25 feet and the length is 50 feet
how do I find the area of the composite figure?
A = 119.4in^2
hope it's helpful ❤❤❤❤
THANK YOU.
How to do!!!
please help
Step-by-step explanation:
Supplementary angle adds up yo 180°
So angle 2 is supplementary to angle 3
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a negative number the inequality symbol.
Answer:
9898
Step-by-step explanation:
- 2x – 3y+ | y
-2x-3y+ |y|
Answer:
Step-by-step explanation:
How many ounces of a 19% alcohol solution and a 37% alcohol solution must be combined to obtain 90 ounces of a 24% solution
Answer:
19% alcohol solution = 65 ounces
37% alcohol solution = 25 ounces
Step-by-step explanation:
Let
19% alcohol solution = x
37% alcohol solution = y
x + y = 90 (1)
0.19x + 0.37y = 90*0.24
0.19x + 0.37y = 21.60 (2)
from (1)
x = 90 - y
Substitute into (2)
0.19x + 0.37y = 21.60
0.19(90-y) + 0.37y = 21.60
17.1 - 0.19y + 0.37y = 21.60
- 0.19y + 0.37y = 21.60 - 17.1
0.18y = 4.5
y = 4.5/0.18
y = 25 ounces
x + y = 90 (1)
x + 25 = 90
x = 90 - 25
x = 65 ounces
A multiple-choice test with 50 questions has five possible choices for each question. There are 4 marks for each correct answer, -1 mark for each incorrect answer, and 0 marks for each unanswered question. What is the total score of a student with 35 correct answers, 10 incorrect answers and 5 unanswered questions?
Answer: 130 marks
Step-by-step explanation:
There are 4 marks for every correct answer and there are 4 marks for each correct answer:
= 35 * 4
= 140 correct marks
There are -1 marks for every incorrect answer and there are 10 incorrect answers:
= 10 * -1
= -10 marks
Total score = 140 - 10
= 130 marks
Answer:
130 marks
Step-by-step explanation:
Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes?
PLease help the question is in the photo
A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level.
x + (2x + 40) + (3x – 50) = 15,002
The upper level has seats.
Answer:
The correct answer is 2,502 seats
Step-by-step explanation:
The following graphs are transformations of f(x) = x^2.
Complete the boxes below to describe the transformations.
A(x) = f (x + _) + _
B(x) = f (x + _) + _
C(x) = f (x + _) + _
D(x) = f (x + _) + _
Step-by-step explanation:
Let's look at A(x) and see how it is different from f(x)
it is shifted downwards by 8 unitsit is not shifted to the left or the rightTherefore A(x) = f(x) - 8
Let's look at B(x) and see how it is different from f(x)
it is not shifted downwards or upwardsit is shifted to the left 7 unitsTherefore B(x) = f(x + 7)
Let's look at C(x) and see how it is different from f(x)
it is shifted upwards by 4 unitsit is shifted to right by 5 unitsTherefore C(x) = f(x - 5) + 4
Let's look at D(x) and see how it is different from f(x)
it is not shifted downwards or upwardsit is not shifted to right by 12 unitsTherefore D(x) = f(x - 12)
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the outlier of 78, equals 84, which statement is always true about the new data when the outlier is removed?
The mean would increase.
The mean would decrease.
The median would increase.
The median would decrease.
Answer:
Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.
We can find sum of all 16 test scores = 84(16) = 1344
Outlier found = 78
If outlier is removed new sum = 1344-78 = 1266
Number of entries without outlier = 15
New average = 1266/12 =84.4
We find that average of new data increases.
Also whenever we remove outlier std deviation also would be reduced.
Step-by-step explanation:
Answer:
The mean would decrease.
Step-by-step explanation:
Without the outlier, the mean decreases. The median stays the same with or without the outlier.
I need help on slope. Anything concerning slope. Any advice you have would be worth a whole lot.
the perimeter of the floor of a room is 18 metre and its height is 3 cm what is the area of 4 walls of the room
Note: The height of the room must be 3 m instead of 3 cm because 3 cm is too small and it cannot be the height of a room.
Given:
Perimeter of the floor of a room = 18 metre
Height of the room = 3 metre
To find:
The area of 4 walls of the room.
Solution:
We know that, the area of 4 walls of the room is the curved surface area of the cuboid room.
The curved surface area of the cuboid is
[tex]C.S.A.=2h(l+b)[/tex]
Where, h is height, l is length and b is breadth.
Perimeter of the rectangular base is 2(l+b). So,
[tex]C.S.A.=\text{Perimeter of the base} \times h[/tex]
Putting the given values, we get
[tex]C.S.A.=18\times 3[/tex]
[tex]C.S.A.=54[/tex]
Therefore, the area of 4 walls of the room is 54 sq. metres.
Can anyone help me with this please
I’ll mark you as a brainliest.
Determine the period
Answer:
20
Step-by-step explanation:
A period is how long a wavelength takes.
By picking the maximum y point, you look for the X difference between the first maximum and the second one.
NOTE: I may not be reading your graph correctly as the resolution is quite low, but I got it.
Annie was earning $12.50 per hour at her job. She recently received a 10% raise. She has also decided she will put 1/5 of her new salary in savings. If Annie worked 40 hours in one week, how much is she putting into savings each week?
Answer:
$110
Step-by-step explanation:
Earl runs 25 meters in 10 seconds. How many meters does Earl run per second?
Earl runs
meters per second.
Answer:
2.5 meters a second
Step-by-step explanation:
Because I said so
how many square feet of outdoor carpet will we need for this hole
Answer:
42 ft²
Step-by-step explanation:
First of all, who makes a hole in this shape?
Anyways,
You're going to want to split the figure into multiple different shapes. We already have a triangle, so I would split the remaining shape into a rectangle and trapezoid.
We can find the area of the triangle easily with the equation 1/2(bh)
So
1/2(2 · 3)
1/2(6)
3
So the triangle is 3 ft²
Now we can find the area of the rectangle.
The measurements will be 3 and 7. It's just base x height so it'll be 21 ft²
Finally the trapezoid.
Base 1: 6
Base 2: 3
Height: 4 (11-7)
Formula: 1/2h (b1 + b2)
1/2 · 4 (6+3)
2(9)
18 ft²
Now just add them together:
3+21+18=42
Hence, your answer is 42 ft²
what is the gfc of 10 and 5
Step-by-step explanation:
i believe the awnser is 5 holp this helps
2.
Here is a recipe for Scones
Scones
Serves 8 people
Butter 60g
Flour 270g
Baking Powder 2 teaspoons
Buttermilk 180ml
How much of each ingredient would be needed to make scones for 2 people?