Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Here, we want to set up equations
There are 29 problems, so adding up the number of individual problem types will give 29
x + y = 29 ••••••(i)
Let us work with points now;
x is worth 5 points, y is worth 2 points
Thus, mathematically;
5x + 2y = 100 ••••••••••(ii)
Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points
Megan budgeted $300 for her shopping trip. She spent $61.50 on jewelry at Revin Jewelry. What percent of her budget did she spend on jewelry? (write the exact percentage)
Answer:
20.5%
Step-by-step explanation:
Here, we want to calculate the % spent on Jewelry
To get that, we divide the amount spent on Jewelry by the total budget and multiply by 100
That will be;
61.5/300 * 100% = 20.5%
6x-2y=156.......(1)
X - y=18.........(2)
(1)-2×(2 )
How will you go about it
Answer:
Step-by-step explanation:
(1) 6x-2y=156
2×(2) ; 2(x-y=18)
;2x-2y=36
from (1)-2×(2)
is 6x-2y=156 -
2x-2y=36
4x=120
x=30
from (2)
x-y=18
x-18=y
y=30-18
y=12
what is 1/5x +8 < -4
Answer:
The answer is x< -60
please let me know if I am incorrect.
Explanation:Solve for x by simplifying both sides of the inequality, then isolating the variable.
can I get help with this
Answer:
$3,600
Step-by-step explanation:
To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.
Doing so, we get: $270 over 0.075 = $3,600
What fraction goes in the box to make it correct?
4/11×_=1
Step-by-step explanation:
[tex] \frac{11}{4} [/tex]
[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]
if it's helpful ❤❤❤
THANK YOU.
3h+5 when h =4 23 points
Answer:
3*4= 12 12+5=17
Step-by-step explanation:
hav a great day :P
Answer:
17
Step-by-step explanation:
3h + 5 h=4
plug in 4 for h
3(4) + 5
12 + 5
17
Hope this Helps!!!
I need help again with this last problem.
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] |12| + | - 15| = [/tex]
[tex]12 - ( - 15) = [/tex]
[tex]12 + 15 = [/tex]
[tex]27[/tex]
Thus the correct answer is the last option .
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
[tex] \boxed {27}[/tex]
Step-by-step explanation:
All negative numbers in the absolute sign will become positive.
[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]
Therefore we evaluate | - 15 | = 15
[tex]12 + 15 = \red {27}[/tex]
BRAINLIEST!URGENT! Please help if you can. If you know the answer, please leave an explanation and I will mark you brainliest!
need to know soon! please help
Answer:
59
Step-by-step explanation:
62+59= 121
180-121= 59
Answer:
m<1 = 121
Step-by-step explanation:
59 + 62 = 121
180 - 121 = 59
180 - 59 = 121
Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?
Answer:
36 ft
Step-by-step explanation:
Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?
Hence, this is calculated as:
5ft/15ft = 12 ft/Daniela's height
Cross Multiply
5ft × Daniela's height = 15ft × 12ft
Daniela's height = 15ft × 12 ft/5ft
= 36ft
Therefore, Daniela's height = 36 ft
For the graph on the right, find the Average Rate of Change from 7 to 60 minutes?
Answer:
The average rate of change from 7 to 60 minutes is 0.36 miles per minute.
Step-by-step explanation:
at x₁ = 7, f(x₁) = 8
at x₂ = 60, f(x₂) = 27
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [27 - 8] / [60-7]
= 19 / 53
= 0.36
Therefore, the average rate of change from 7 to 60 minutes is 0.36 miles per minute.
For the equation 2x + 7 =30, x = 3
O True
O False
Answer: False
=============================================================
Explanation:
To see if the x value is a solution or not, we plug it into the equation given
2x+7 = 30 .... original equation
2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3
6 + 7 = 30 .... multiply 2 and 3 to get 6
13 = 30 ...... add 6 and 7 to get 13
We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.
That's why the overall claim is false.
solve for y
equation : y=mx+b
Answer:
? i need numbers
Step-by-step explanation:
 tell me how to answer this please I WILL MARK BRAINLIEST
Answer:
It equals 3
Step-by-step explanation:
To solve this it is basically like a normal problem you would just take out the X in it and divide 7 by 21 which leaves you with 3.
What is the slope of a line parallel to the line whose equation is x+2y=2
Step-by-step explanation:
Parallel lines have the same slope.
[tex]x + 2y = 2 \\ 2y = x - 2 \\ y = 0.5x - 1[/tex]
[tex]y = mx + b \\ m \: is \: the \: slope \: so \: te \: slope \: is \: \frac{1}{2} [/tex]
Ramon owed $850.00 on his car loan. Two months later, he owed $510.00
on the loan. By which percent did Ramon's car loan amount decrease?
Answer:
40%
Step-by-step explanation:
(850-510)/850 = 340/850 = 2/5 = 40%
Answer: 40% I looked it up
Step-by-step explanation:
What is the value of x in the solution to this system of equations ?
Y+2x=-1
Y=(1/2)x+4
Answer:
2×+y=-1
Do you think I'm right???
Please help!
And explain the answers too!
An equiangular triangle has one angle of measure 2x+8. What is x?
Answer:
[tex]x=26\\[/tex]
Step-by-step explanation:
The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:
[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].
Answer: x=10
Step-by-step explanation:
i bet nobody will anser this =P. Solve 52.425 divided by 0.5
Answer:
104.85
Step-by-step explanation:
c:
Answer:
104.85
Step-by-step explanation:
52.425/0.5=104.85
Hi Mariceo, when you submit this form, the owner will be able to see your name and email address.
*
Required
1. Transform the following equation if necessary, and then solve to find the value of x that makes
the equation true: *
(10 Points)
5(3x + 9) – 2x = 151 - 2(x - 5)
10
45
Infinitely many solutions
No solution
Mindy needs to rake a rectangular part of her yard that is 9 feet by 8 feet. It takes her 10 minutes to rake an area that is 12 feet square. How long will it take Mindy to rake the rectangular part of her yard?
Answer:
60 minutes
Step-by-step explanation:
Time taken to rake 12ft² = 10 minutes
Area of Mindy's rectangular path :
Area of rectangle = Length * Width
Dimension of Mindy's rectangular path = 9ft by 8ft
Area = 9ft * 8ft
Area = 72ft²
Hence, it will take Mindy;
(Area of Mindy's path / 12 ft) * time taken
(72ft² / 12ft²) * 10 minutes
6 * 10 = 60 minutes
Which of the following best describes the equation below?
y = 8x + 15
A.
neither linear nor nonlinear
B.
both linear and nonlinear
C.
nonlinear
D.
linear
find the values of z and y plssss
Answer:
z is 23 and i dont see a y
Step-by-step explanation:
Aiden cuts a ball of string into 14 equal pieces. The length of each piece of string is 2 1/4 yards. What is the original length of the ball of string?
Answer:
31 1/2 yards
Step-by-step explanation:
In order to calculate the original length of the ball of string we simply need to multiply the length of each piece of string by the total number of strings that were produced from the original ball of string. First, we can turn the 2 1/4 into a single decimal number. Since 1/4 is equal to 0.25 we just add this to 2 to get 2.25, now we can go ahead and multiply this by the 14 total pieces.
2.25 * 14 = 31.5 or 31 1/2 yards
Choose the definition for the function.
Answer: C
Step-by-step explanation:
I need the answer plz so I dont fail
Answer:
Whats the problem? it wont show for me...
Step-by-step explanation:
i will awnser, just gotta give me the problem
Give the domain and range of the relation th
1. {(-3, 3), (1, 1), (0, -2), (1, -4), (5, -1)}
Domain:
Range:
Function?
What is it
Answer: the domain is -3. 1, 0, 1, and 5 and range is, 3. 1, -2, -4, and-1 I dont know the function but I hope this helped
Step-by-step explanation:
Becca had of a yard of ribbon to use for her crafts projects. She used of a yard to make a bow. How much ribbon, r, does Becca have left?
Set up an equation and solve.
answers:46/105, 91/45, 3r/7, 3/7 - r , 136/105
only two space for two answers
Answer:
a y a r d = a 2 y r d a y a r d = a 2 y r d
Step-by-step explanation: