Susan took two math tests. Her score onthe first one was 15 points more than thesecond one. The combined score for thetwo tests is 131. Find the scores for eachtest.
Answers
Start by calling each score
\(\begin{gathered} \text{first score } \\ x+15 \\ \text{second score } \\ x \end{gathered}\)then, write the equation for the sum
\(x+x+15=131\)simplify the equation
\(2x+15=131\)solve for x
\(\begin{gathered} 2x=131-15 \\ 2x=116 \\ x=58 \end{gathered}\)the score for the first test is
\(58+15=73\)the score for the second test is
\(58\)Related Questions
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
Answers
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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A car is traveling at a rate of 30 meters per second. What is the car's rate in kilometers per hour? How many kilometers will the car travel in 5 hours? Do not
round your answers.
Answers
The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.
What is the speed of the car in kilometers per hour and distance covered after 5 hours?Speed is simply referred to as distance traveled per unit time.
It is expressed as;
Speed = Distance ÷ time.
Given that the car is traveling at a rate of 30 meters per second.
First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.
1 kilometer = 1000 meters
1 hour = 3600 seconds
Hence;
Speed = 30m/s = ( 30 × 3600/1000 )kmh
Speed = 108 kmh
Next, the distance covered in 5 hours will be:
Speed = Distance / time
Distance = speed × time
Distance = 108 kmh × 5 h
Distance = 540 km
Therefore, the disatnce covered is 540 kilometers.
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Solve for x.
(2x + 43)°
(2x - 3)
Answers
4x+40=180
4x=140
x=35
Angles within the transversal of parallel lines add up to 180, so, the value of x is 35.
Given
\(\angle 1 = 2x + 43\)
\(\angle 2 = 2x -3\)
Both angles are interior angles of a transversal.
So:
\(\angle 1 + \angle 2 =180\)
This gives
\(2x + 43 + 2x - 3 = 180\)
Collect like terms
\(2x + 2x = 180 +3 - 43\)
\(4x = 140\)
Divide both sides by 4
\(x = 35\)
Hence, the value of x is 35.
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Nina's garden 4 1/5 meters long and 3/10 meter wide. What is the area of Nina's garden?
Answers
Answer:
63/50 as an improper fraction.
1 13/50 as a mixed number
Step-by-step explanation:
The square below represents one whole.
Answers
Answer:
6 percent
Step-by-step explanation:
6/100 is shaded. This is the same thing as 0.06. Once I move the decimal two places to the right, I get 6. (I move the decimal place because percents are out of 100, so two decimal places.) This means 6 percent.
once the tent is set up how many cubic feet will there be inside?
Answers
Let's start by defining that the area of a triangle is calculated using the equation
\(A=\frac{1}{2}b\times h\)In the given figure, we have a triangular prism with its face as an isosceles triangle. If we look at the front view of the triangular prism, we have the following dimensions
Whereas it is composed of two right triangles. Hence, the area of the face of the triangular prism is just the area of one of the right triangles multiplied by 2. The length of the base of each right triangle is given but the height is not given. This can be computed using the Pythagorean theorem. The hypotenuse of each right triangle is equal to 26 ft. Hence, to compute for height, we have
\(\begin{gathered} h^2=c^2-b^2 \\ h=\sqrt[]{26^2-10^2}=24 \end{gathered}\)The height of both right triangles is 24 ft. Hence, the total area of the face of the triangular prism is
\(A=2(\frac{1}{2}b\times h)=10ft\times24ft=240ft^2\)Finally, to compute the volume of the triangular prism, we just multiply the calculated area of the face of the triangular prism by the length of the triangular prism, which is equal to 40 ft. The volume of the triangular prism is
\(V=(240ft^2)(40ft)=9600ft^3\)
27. What is the reflection image of (5, –3) across the y-axis? (–5, 3) (–5, –3) (–3, 5) (5, 3)
Answers
The search results are unrelated to the question of finding the reflection image of (5, -3) across the y-axis. To find the reflection image of a point across the y-axis, we need to change the sign of the x-coordinate of the point. Therefore, the reflection image of (5, -3) across the y-axis is (-5, -3).
D&S Cafeteria in Cary, NC recently served 2461 customers on a Saturday
and 3184 customers on the following Sunday. How many more customers
were served on Sunday?
Answers
Please tell me answer not by directly step by step please don't write answer only please please please
Answers
y + z + r + x = 360
2x + 3x + 4x + x = 360
10x = 360
x = 360/10
x = 36
Now
x = 36
y = 72
z = 108
r = 144
Answered by Gauthmath must click thanks and mark brainliest
If the Federal Reserve decreases the reserve rate from 6% to 4%, how does this affect the amount of money that would result because of fractional-reserve banking from an initial deposit into a bank of $15,000?
A.
It increases the amount by $250,000.
B.
It increases the amount by $125,000.
C.
It decreases the amount by $125,000.
D.
It decreases the amount by $250,000.
Answers
The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.
When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.
In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.
When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.
The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.
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What is the equation of the line that passes through the point (2,3) and has a slope that is undefined
Answers
Answer:
x=2
Step-by-step explanation:
For there to be an undefined slope, there has to be no y-intercept. Therefore, the line looks vertical. So, the equation of a line with an undefined slope would be x=?. In this case, where we know a point (2,3), the equation would then be x=2.
If triangle ABC was reflected over the x-axis, what would be the coordinates of B’?
a(-3, 4)
b(3, -4)
c(4, -3)
d(-4, 3)
Answers
The coordinates of B’ is given by D. A'(2, -5)
Since point A is at (2, 5), and you are reflecting it across the x-axis, you take a look at the y-coordinate.
What is the reflecting axis?A reflection of a point, a line, or a figure in the X-axis involved reflecting the image over the x-axis to create a mirror image. In this case, the x-axis would be called the axis of reflection.
Since it is five above the x-axis, you go five below the x-axis, or just give the opposite of 5, which is -5.
So, A' is at (2, -5).
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Answer:
c (4, -3)
Step-by-step explanation:
took the quiz
Pls help yall thanks ... right answer gets the brainliest
Answers
There is 2 solutions
Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $5,000, annual interest: 9%, interest periods: 4, number of years: 18
After 18 years, the investment compounded periodically will be worth $? more than the investment compounded annually.
(Round to two decimal places as needed.)
Answers
After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.
What is compounded interest?Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.
The period of compounding in a year determines the worth of the future value.
The future value can be ascertained using an online finance calculator as follows:
Interest periods: = 4 times yearly (Quarterly)
Principal = $5,000
Annual interest rate = 9%
Number of years: 18
N (# of periods) = 72 quarters (18 years x 4)
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $24,815.83
Total Interest = $19,815.83
Interest periods: = Annually
N (# of periods) = 18 years
I/Y (Interest per year) = 9%
PV (Present Value) = $5,000
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $23,585.60
Total Interest = $18,585.60
Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)
Thus, an investment compounded periodically earns more than an investment compounded annually.
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Solve for x - y = -3
Answers
Answer:
0-3=-3
Step-by-step explanation:
1. X-y= -3
2. Add y to both sides
3. X= -3+y
What is y:
1. X-y= -3
2. Subtract x from both sides
3. -y=-3-x
4. Divide both sides by negative 1
5. y=3+x
Solution;
-3+y, 3+x
Hope this helps!!
Trisha knit a total of 8 centimeters of scarf over 4 nights. How many nights will Trisha have to spend knitting in order to knit a total of 48 centimeters of scarf? Assume the relationship is directly proportional.
Answers
Answer: 6
Step-by-step explanation:
You would divide the number by the other number to get the awnser
Answer: 24 nights in total
Step-by-step explanation: 48 divided by 8=6 and so six sets in total and to get the number of days you times 6x4 and you get 24 days in total. Also to check the answer 4 is half of 8 and 24 is half of 48
Which
graph shows the solution to the
system of linear inequalities?
y > 2/3x + 3
y < - 1/3x + 2
-
Answers
Answer:there is no graphs
Step-by-step explanation:
poop
Half a number plus 5 is
11. What is the number?
Answers
Answer:
x = 12
Step-by-step explanation:
Let the number be x
Condition:
=> \(\frac{1}{2} x+5 = 11\)
=> \(\frac{x}{2} = 11-5\)
=> \(\frac{x}{2} = 6\)
Multiplying both sides by 2
=> x = 6* 2
=> x = 12
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
Answers
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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Which lines are parallel?
M: y + 1 = -3 (x-1)
K: y =3(x+2)
P: y + 4 = 3x
Answers
The most appropriate choice for equation of line in slope intercept form will be given by-
line K is parallel to line P
line M is not parallel to both line K and line P.
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx +c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = \(tan\theta\)
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line
For M
y + 1 = -3(x - 1)
y + 1 = -3x + 3
y = -3x + 3-1
y = -3x + 2
Slope of M = -3
For K
y = 3(x+2)
y = 3x + 6
Slope of K = 3
For P
y + 4 = 3x
y = 3x - 4
slope of P = 3
Since Slope of K = Slope of P,
line K is parallel to line P
Since slope of M is different from slope of both K and P,
line M is not parallel to both line K and line P.
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Which words or phrases define a ray [Geometry]
It consists of two end points
It goes in one direction and indefinitely
It’s an undefined term
It consist one endpoint
You used to points to name it
It consist of all points in between the two points
Answers
Answer:
It goes in one direction and indefinitely.
It consist one endpoint.
Step-by-step explanation:
A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.
Find the slope from the table.
Answers
Answer:
m=0
Step-by-step explanation:
the slope is calculated using two points on the line and the formula
m = (y2 - y1) ÷ (x2 - x1)
where
x1 and y1 are the coordinates of point 1
x2 and y2 are the coordinates of point 2
for example, you can take
point 1 = (x1;y1) = (-2;3)
point 2 = (x2;y2) = (-1;3)
then your slope is
m = (3 - 3) ÷ (-1 - (-2)) = 0
notice that x1 is always at the left of x2 on the x axis
and it makes sense that your slope is 0 because for each x your y is the same
Please help me, this is due in 2 hours and I need this done plz.
Answers
Answer:
It's probably it
Step-by-step explanation:
A = (-4, -2)
B = (1, 6)
Imagine a new point (C) where they intersect (1, -2)
Now we can form a triangle, the distance between A and B will be the hypotenuse.
h² = 5² + 8²
h² = 25 + 64
h² = 89
h = \(\sqrt{89}\)
h = ~9.43...
h = 9
Which expression uses numbers and symbols to represent the statement subtract 6 from 11 ,double the difference, and then add three- fourths?
Answers
Answer:
sorry if I knew I would have told you but follow me
What is the cos A?Will give 15 points.
Answers
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
A pizza place has 15 different toppings listed for its customers to choose from. How many different pizzas can be made with 5 toppings each, without repeating the toppings?
Answers
Answer:
3 pizzas
Step-by-step explanation:
15 divided by 5 is 3.
Find the indicated unit rate.
A machine can fill 6021 boxes of cereal in 0.9 hour. What is the unit rate in boxes per hour?
6690 boxes
per
hour
6021 boxes per hour
0 5419 boxes per hour
6022 boxes per hour
Answers
Answer:
6,690 boxes per hour
Step-by-step explanation:
Given:
Number of boxes fill = 6,021
Time is taken = 0.9 hour
Find:
Number of boxes fill per hour
Computation:
Number of boxes fill per hour = Number of boxes fill (1 hour / Time taken)
Number of boxes fill per hour = 6,021 (1 hour / 0.9 hour)
Number of boxes fill per hour = 6,690
Which numbers will round to 3.75 when rounded to the nearest hundredth and will round to 3.7 when rounded to the nearest tenth
Answers
Answer:
3.646
3.648
3.647Step-by-step explanation:
for 3.7 - 3.69
hope it helps
haley halloween
miguel is posting photos on school website hi has 48 photos and he followed 12 pages he whant to put the same number put of photos ,p, on each page
Answers
Answer:
4
Step-by-step explanation:
48/12=4
Answer:
12p = 48
Step-by-step explanation:
We already know Miguel has 48 photos already selected, with 12 pages to chose from. Since we want to figure out an equation for the number of photos Miguel is going to put on each page, you would have to do this: we do know the number of pages Miguel has but we don't know how many photos per page. So, you would write 12p for the unknown number of photos per page. Since he already has 48 photos and the 48 will not be affected during this equation, the answer to the equation would equal 48. So, the final answer would be 12p = 48
Tamar surveyed six friends, asking each how many times he or she had ridden in a helicopter. The numbers of times she recorded were 0, 0, 0, 1, 3, and 8.
What is the mean absolute deviation of the number of times?
Round to the nearest tenth, if needed.
a. 0
b. 2
c. 2.3
d. 2.5
Answers
well, to do this we first need to find the mean of all values.
we need to find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)
Then find the mean of those distances.
so, after we do all of that with the given numbers, our final result would be 2.333333333..... (It goes on) we round it up to 2.3, and viola! the answer is C.
Answer: the answer is c
Step-by-step explanation: i took the test