Solve the system of equations.
y = 6x + 13
y = 2x + 1
Answer:
x=-3. y=-5
Step-by-step explanation:
Equating both equations,
6x + 13 = 2x + 1
6x - 2x = 1 - 13
4x = -12
x = -3
Plug in the value of x in the given first equation,
y = 6* (-3) + 13 = -18 + 13 = -5
Answer:
{y,x} = {-5,-3}
Step-by-step explanation:
System of Linear Equations entered
y - 6x = 13
y - 2x = 1
Graphic Representation of the Equations
-6x + y = 13 -2x + y = 1 (attached)
Solve by Substitution
y = 2x + 1
(2x+1) - 6x = 13
- 4x = 12
4x = - 12
x = - 3
y = 2x+1
x = -3
y = 2(-3)+1 = -5 (final answer)
hope it helps you!
Maggie has been exercising by climbing steps. Her climbing rate at the end of week 1 was 25 steps per minute. At the end of week 4, Maggie's rate was 60 steps per minute. What is the percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4?
Answer: 60%
Step-by-step explanation:
Given: Climbing rate at the end of week 1 = 25 steps per minute.
Climbing rate at the end of week 4 = 60 steps per minute
The percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 will be :
[tex]\dfrac{\text{Climbing rate after week 4 - Climbing rate after of week 1}}{\text{Climbing rate after week 1}}\times100[/tex]
[tex]=\dfrac{40-25}{25}\times100\\\\=\dfrac{15}{25}\times100=15\times4=60\%[/tex]
Hence, the percent increase in Maggie's rate of climbing steps from the end of week 1 to the end of week 4 = 60%
Find the slope of a line that passes through the points (3, -5) and (-7,5)
Answer:
Slope = -1
Step-by-step explanation:
[tex](3, -5 ) = (x_1,y_1) \\ (-7,5)=(x_2,y_2)[/tex]
[tex]Slope = \frac{y_2-y_1}{x_2-x_1} [/tex]
Substitute values into the given equation
[tex]slope \: = \frac{5 - ( - 5)}{ - 7 - 3} \\ \\ slope \: = \frac{5 + 5}{ - 7 - 3} \\ \\ [/tex]
[tex]slope \: = \frac{10}{ - 10} \\ slope \: = - 1[/tex]
What is the value of x. What is the measure of angle ABC and what is the value of angle CBD
Answer:
15
Step-by-step explanation:
Woke out the following giving your answers in their simplest form 3/11÷3/11
Answer:
mr
Step-by-step explanation:
rm x 3/11 ÷ 3/11
24
-4?
can you help me with this
Answer:
-6
Step-by-step explanation:
24/-4=-6
Answer:
-6
Step-by-step explanation:
Have a good day <3
there are 18 pencils for $2.36 how much would it be for one
Answer:
13 cents
Step-by-step explanation:
2.36/18= 0.13
For each value of u, determine whether it is a solution to -40 = 8(u-4).
8(u-4)=-40
8u-32= -40
8u= -40 + 32
8u= -8
u= -8/8
u= -1
Let's check
8(-1 -4)
-8-32
=-40
So yes u is -1
Can someone help me? Please Thank you.
Answer:
He can fit 2 more DVD's on the shelf.
And he'll have about 12 mm of extra space left.
Step-by-step explanation:
40×1.4 = 56cm This is the length of space the 40 DVD's will take up.
60-56 = 4cm This is the amount of space left.
4/1.4 = 2.857 the number of DVD's that will fit.
Of course, the decimal represents a partial DVD which is worthless.
Just to be sure, 2×1.4 = 2.8cm OK. But 3×1.4= 4.2cm which is 2mm too much
Between which two whole number square root 44 must show work
Answer: 6 and 7
Step-by-step explanation:Consider square numbers either side of 44, that is
36 < 44 < 49, then
< < , that is
6 < < 7
Please help fast
If you drew lines to model the verbal statement, the equation, and the table that you created in the three parts of question 1, would you get the
same line for all three? Explain
Answer:
The resulting line will be the same for all three because the verbal statement, the equation, and the table all represent the same situation. They just do it in different ways.
Answer:
The resulting line will be the same for all three because the verbal statement, the equation, and the table all represent the same situation. They just do it in different ways.
Step-by-step explanation:
HELP ASAPPPPP mL ABC=117 -> Find mL CBD
Answer:
The answer is 77 degrees
Please help me to solve this!
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Since there are two white bars (which equals 4 each) it equals 8.
There are 2 shaded blocks (which equals -2 each) and that amounts to -2.
8 - 2 = 6
Hope I helped :)
Please consider Brainliest :)
please help meeeee :(
Answer:
b=80
Step-by-step explanation:
-2x - y = -13
2x + 2y = 8
Answer:
the first one is (6.5,13)
the second one is (4,4)
Step-by-step explanation:
-2x-0=-13
-2x=-13 divide -2 by -13
x=6.5
-2(0)-1y=-13
0-1y=-13
-1y=-13
13
so that gives you (6.5,13)
2x+2(0)=8
2x+0=8
2x=8 divide two by eight
x=4
2(0)+2y=8
0+2y=8
2y=8 divide two by eight
y=8
Point Q' is the image of Q(-7.2) under a translation by 8 units to the right and 2 units up
Answer:
what is the question??
Step-by-step explanation:
What is the value of -(-6) - 4
Answer:
2
Step-by-step explanation:
Two negatives makes a positive, - (-6) can be rewritten as +6 or simply just 6.
Proceed to do simple calculations, 6 - 4 = 2.
Answer:
2
Step-by-step explanation:
Multiply the -6 by -, and it equals a positive 6 (When you multiply a negative number by a negative number it becomes a positive).
Finish the equation by subtracting 6 - 4 = 2
I know it might not make sense but trust me, I had to do problems like this.
Hope this helps!
-Jerc
3 5/12 + 1 3/8
I am to lazy i am needed for answer cause my eyes fell off
Answer:
4 19/24
......................................
◑﹏◐
Pls, help!
Will give brainly for the correct answer
Due tonight!
7) 2
8) -3
9) -5/11
10) 2/5
11) -0.5
12) -2
LITERAL EQUATIONS: A literal equation is one consisting of all letters (or at least mostly letters). The Latin word literalis means "of or belonging to letters or writing," giving the term literal equations its meaning. We can solve literal equations the same way we solve any other equation. We just need to be told which variable (letter) we are solving for. To solve a - 2 = 5 for a, we would add two to each side of the equation. To solve b - r = z for b, we would add r to each side of the equation. What would the resulting solution be ? b = z - r z = b - r r = b - z b = r + z
Answer:
D. b = r+z
Step-by-step explanation:
Given the expression b-r = z, we are to solve for b. To do this, we will add 'r' to both sides of the equation as shown;
b-r+r = z+r
Since -r+r = 0, substitute:
b+0 = z+r
b = z+r
Hence the resulting equation when r is added to both sides of the equation is b = z+r
Hence option D is correct
Are triangles ABC and ADC congruent?
B
с .
A
Yes, by SSS
Yes, by ASA
Yes, by SAS
Not enough information
Answer:
i need a graph to answer this
Step-by-step explanation:
what is
t ÷ -5 = -7 help
Answer:
4 +5 _7
Step-by-step explanation:
A builder bought 47 1/2 acres of land and divided it into lots of 2 1/2 acres each. How many lots were
there?
Answer:
19 lots
Step-by-step explanation:
i took my exam and it was right
Help Please Due Soon! Find m
Answer:
{the question is asking to find the value of x not m}
The value of x is 9°
Step-by-step explanation:
8x-2°+47° = 12x+9°{an exterior angle formed by producing the side of triangle is equal to two non adjacent angle}
or, 8x+45° = 12x+9°
or, 8x-12x = 9°-45°
or, -4x = -36°
or, x = -36°/-4
or, x = 9°
HELP ME ASAP PLEASE AHHHH
Answer:
A
Step-by-step explanation:
Answer:
-7.5
Step-by-step explanation:
Whole numbers are natural numbers from 0 to infinity. This does not include decimals or fractions. For example, these numbers are 0, 1, 2, 3, 4...
Integers are whole numbers, but they include negative numbers. So, from negative infinity to positive infinity. This does not include decimals or fractions. For example, these numbers are ... -3, -2, -1, 0, 1, 2, 3 ...
A rational number is any number that can be expressed as a fraction. So, this includes -7.5, as -7.5 can be expressed as -[tex]\frac{15}{2}[/tex].
Therefore the answer is -7.5.
Marco earns $16 an hour plus $21 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the week.
Part A: Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime. (3 points)
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 35 hours. (3 points)
Part C: Marco earned $602 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)
(10 points)
NEED HELP ASAP
Part A: Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime. (3 points)
x hours in a week and there is no overtime and x <= 35 so equation:
E(x) = 16x
Part B: Create an equation that shows the amount of wages earned, T, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 35 hours. (3 points)
Regular hours = E(x) = $16 x 35 = $560
T(y) = 21y + 560
Part C: Marco earned $602 in 1 week. How many hours (regular plus overtime) did he work? Show your work. (4 points)
21y + 560 = 602
21y = 42
y = 2
Marco worked 37 hours (35 regular plus 2 hours overtime)
Professor Burger orders flowers to be delivered to his mother. The flowers cost $59.95, not including tax. A bouquet of flowers is shown. Its price tag reads fifty-nine dollars and ninety-five cents. If there is a 6% sales tax, what is the total cost of the flowers to the nearest cent? Enter the correct answer in the box.
Answer:
$63.55
Step-by-step explanation:
Taxes are charges paid by individuals and enforced by the government in other to fund government spending and various public expenditures.
The flowers cost $59.95 and tax is 6%.
Tax = 6% of flower cost = 0.06 × $59.95 = $3.6
The total cost of the flowers is the sum of tax and the cost of flowers, hence:
Total cost of the flowers = $59.95 + $3.6
Total cost of the flowers = $63.55
how do I solve 2c-5=c+4 I don't get these kind of questions.
Answer:
c = 9
Step-by-step explanation:
2c - 5 = c + 4
Subtract c from both sides
c - 5 = 4
add 5 to both sides
c = 9
Hope this helps:)
Write the equation of a line in slope intercept form that has a slope of 7/4 and a point at (0,-3)
Answer:
y=7x/4-3
Step-by-step explanation:
We can use the formula y=mx+b. m=slope so y=7/4x+b. We know that the line intersects the point (0,-3) so we plug it in, x=0 and y=-3. -3=(7/4)*0+b. b=-3. Therefore, the equation is y=7x/4-3.
Quinn earned $24.50 dog-sitting and $12.70 for recycling cans. Find thetotal amount he earned.
Answer: $37.20
Step-by-step explanation:
24.50+12.70=37.20
Quinn earned a total amount of $37.20 which is the addition of the earnings from dog-sitting and the recycling cans.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
We have been given that Quinn earned $24.50 for dog-sitting and $12.70 for recycling cans.
We have to determine the total amount he earned.
The total amount is the addition of the earnings from dog-sitting and the recycling cans.
The total amount = earnings from dog-sitting + earnings from the recycling cans.
The total amount = $24.50 + $12.70
The total amount = $37.20
Therefore, he earned a total amount of $37.20.
Learn more about Arithmetic operations here:
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