how to solve using Substitution or Elimination?
y=3x-1
y=2x+2
By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
So, the solution is x = 1 and y = 4 {or: (1, 4)}5. Which graph shows a line with the same y-intercept as the graph of 10x-16y=-40?
Answer: B
Step-by-step explanation:
Option A is correct by observation we can see when (x,y) = (0,5/2) it satisfies the given equation 10x - 16y = -40
What is a linear equation in two variables ?A linear equation in two variable is an alzebraic equation which has highest degree of 1 and contains two variables.
A linear equation in two variables infinite number of solution for each value of x there is a corresponding y value.
In the given question when value of x is 0 the corresponding value of y is 2 and half.The equation of the graph 10x - 16y = -40 satisfies the given values.
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Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches. Enter the amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube
Answer:
The answer is below
Step-by-step explanation:
Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:
Number of times = volume of cube / volume of pyramid
The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in
Volume of square pyramid = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³
Volume of cube = 125 in³
Number of times = 125 in³ / 65.1 in³ = 1.92
The amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube is 1.92.
What is volume?The capacity of a container of any shape is called the volume.
Natalee transferred water from a square pyramid to a cube. Then,
Given is the perimeter of the pyramid base = 25 in
So, the length of one side of the base b= 25 / 4 = 6.25 in
Volume of square pyramid = b² × (h/ 3) = (6.25 in)² * (5 in / 3) = 65.1 in³
Volume of cube = 125 in³
Number of times = volume of cube / volume of pyramid
Number of times = 125 in³ / 65.1 in³ = 1.92
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The sum of two numbers is 59 and the difference is 21. What are the numbers?
Larger number:
Smaller number: 0
2.
Answer: The larger number is 40.
The smaller number is 19
Step-by-step explanation:
x + (x-21) = 59 This is the number and the number difference add to 59.
x + x = 59 + 21 Add 21 to both sides. Combine like terms.
2x = 80 divide both sides by 2
x= 40 This is the first number. Subtract 21 to get the second number
40 - 21 = 19
The difference between 40 and 19 is 21.
19 + 40 = 59
______________________
Not sure why this is in the question "Smaller number: 0
2.
Which of the following shows the lengths of the sides of a right triangle?
A. 2, 3, 4
B. 5, 7, 11
C. 6, 8, 10
D. 8, 12, 15
Answer:
C
Step-by-step explanation:
use the formula a²+b²=c²
Claire buys an item with a normal price of $24 but save six dollars by using a coupon what percentage off is this coupon
Answer:
[tex]\huge\boxed{\sf 25 \% \ off}[/tex]
Step-by-step explanation:
Normal Price = $ 24
Saved = $ 6
Discount %age:
[tex]\sf \frac{6}{24} * 100 \%\\\\\frac{1}{4} * 100\%\\\\= 25 \%[/tex]
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807megan solved the following exponential equation for x. what did she do wrong
Answer:
take a better photo this is blurry
Step-by-step explanation:
Figure ABCD has vertice A (5,9) B (7,5) C (5,1) D (3,5)
Which names describe ABCD?
the area of a rectangular concrete patio is 70 square meters the perimeter is 34 meters what are the dimensions of the patio
Answer:
7 and 10
I hope this is correct and helps.
Answer:
7 and 10 because
perimeter you add all sides together like :
7 +7 +10 +10
14+20
34 (which checks out)
and then for area you multiply length and width and 7 x 10= 70 which checks out
Step-by-step explanation:
help please asap!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is 3.
Step-by-step explanation:
Plug in, combine, solve.
[tex]m = - 3 \\ {m}^{2} + 5m + 9\\ ( - 3)^{2} + 5( - 3) + 9 \\ 9 + 5( - 3) + 9 \\ 9 - 15 + 9 \\ - 6 + 9 \\ 3[/tex]
Not sure how to do this one? It's geometry.
Answer:
x = 20
Step-by-step explanation:
These two angles are corresponding angles which means that they sum to 180. You can formulate an equation by writing it as, 3x - 10 + 5x + 30 = 180. Once you simplify it, you end up with 8x = 160 which equals 20. Hope this helps.
Layla emptied out her change jar to buy a new binder for school. She found 147 coins consisting of dimes and nickels that totaled $11.65. Write a system of equations that could be used to determine how many dimes, d, and how many nickels, n, Layla had in her change jar.
Answer:
d + n = 147
0.10d + 0.05n = 11.65
d = 86, n = 61
Step-by-step explanation:
Let
Number of dimes = d
Number of nickels = n
Total coins = 147
Total value = $11.65
d + n = 147 (1)
0.10d + 0.05n = 11.65 (2)
From (1)
d = 147 - n
Substitute d = 147 - n into
0.10d + 0.05n = 11.65
0.10(147 - n) + 0.05n = 11.65
14.7 - 0.10n + 0.05n = 11.65
- 0.10n + 0.05n = 11.65 - 14.7
-0.05n = -3.05
n = -3.05 / -0.05
= 61
n = 61
Substitute n = 61 into
d + n = 147
d + 61 = 147
d = 147 - 61
d = 86
I don't understand this either what's this
Answer:
It's called a transversal lol
Step-by-step explanation:
I know that you were thinking that there should be a letter somewhere but you can't figure out the name of a line unless the name is shown lol
Pls mark Brainliest.
please answer and fast
Answer:
D
Step-by-step explanation:
Which of the following tables represents a function
Enter the value of arccos(0.21) as a decimal to the nearest hundredth of a degree in the box.
Answer:
77.88
Step-by-step explanation:
just did the test!
The solution is 77.88°
The value of arc cos ( 0.21 ) is 77.88°
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the angle be represented as A
Now , the value of A is
A = arc cos ( 0.21 )
The value of arc cos ( 0.21 ) = 1.35922137 rad
The value of 1 rad = ( 180°/π ) degrees
So , 1.35922137 rad = 1.35922137 ( 180°/π ) degrees
On simplifying the equation , we get
The value of arc cos ( 0.21 ) = 77.8776478 degrees
Rounding to the nearest hundredth , we get
The value of arc cos ( 0.21 ) = 77.88 degrees
Hence , the measure of arc cos ( 0.21 ) is 77.88°
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A line of the equation has a slope of a/b, where a and b are integers.
What is the slope of the line that is perpendicular to this line?
Answer:
-b/a
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.
slope of line = a/b
slope of perpendicular = -b/a
I need help on this please
Answer:
25/3
Step-by-step explanation:
Set the equations equal to each other since the lines are parallel.
(x+20)=(4x-5)
-x +5 -x +5
25/3 = 3x/3
x = 25/3
PLEASEE answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4 boys and 5 girls ratio (4:5)
4:5 ratio
hope this helps
Pls help
A.
B.
C.
D.
Answer:
The answer is A so put it
PLS HELP WILL GIVE BRANLIEST
Please help me solve these 3 problems. Solve for x state the properties used and check your answer. I’ll mark as brainliest.
a) 5(x - 2) - 6 = 24
b) 22 = (3x+5) - 18
c) -48 = -4(2x+5)+ 5x - 1
Answer:
a) 5x=8 use a calculator and use distributive property
b) 22=3x+5 -18
22=3x-13
9=3x
x=3
distributive property
c)-48= -8x-20+5x-1
-48= -3x-21
-27= -3x
x=7
distributive property
Step-by-step explanation:
Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
Answer:
7.8
Step-by-step explanation:
a class of 40 students elected a class president there were 12 votes for candidate a and 18 votes for candidate b the remaining students in the class did not vote which expression gives the percent of Voters who voted for candidate a
Answer:
10
Step-by-step explanation:
18 + 12 = 30 so it 40 student so it is 10 .
Answer:
12/12 + 18 = 100
Step-by-step explanation:
Use calculator
If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3
Answer:
y=-f(x)-3
Step-by-step explanation:
when f is negative it is reflected over the x-axis and -3 means to translate 3 units down
y = -f(x) – 3 describes the graphed function.
When f is negative it is reflected over the x-axis.
-3 means to translate 3 units down.
How do you identify a function?By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.
What are examples of graph functions?Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.Learn more about graph functions here: https://brainly.com/question/4025726
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need help asap
please
What is the slope of the line y= -121x + 200 ??
Answer:
Slope = - 121
Step-by-step explanation:
Step 1:
y = mx + b Slope Intercept Form
Step 2:
m = Slope
Step 3:
y = - 121x + 200 Equation
Answer:
Slope = - 121
Hope This Helps :)
Answer:
-121X
Step-by-step explanation:
In an equation, x= the slope, and the number that comes after is the y intercept. So 200 would be where the line starts, and would have a negative slope of -121x
I hope this helps! :)
Which part of this graph shows a nonlinear relationship?
A. 4
B. 2
C. 3
D. 1
Answer:
D.1
Step-by-step explanation:
It's the only line with a curve.
Which matrix equation represents this linear system?
2x-5y=-7
4x+3y=-1
Answer: C
Step-by-step explanation: I just took the exam
Find the circumference of a circle with a diameter of 20 centimeters. Round your answer to the nearest centimeter.
6 centimeters
126 centimeters
31 centimeters
0 63 centimeters
Answer:
63 centimeters
Step-by-step explanation:
What we know:
A cricle has a diameter of 20 cm.
To find circumference, use πd or 2πr.
3.14(10 * 2)
3.14(20)
62.8 cm, which rounds to 63 cm.