Answer:
10
Step-by-step explanation:
so x=true/false questions
y=multiple-choice questions
2x+4y=100
2x=y
plug in 2x for y in the first equation
2x+4(2x)=100
10x=100
x=10
y=20
The total questions would include 10 true/false questions and 20 multiple-choice questions.
We have Mr. Dudley who is writing a test for his mathematics class. The test will have true/false questions worth 2 points each and multiple-choice questions worth 4 points each for a total of 100 points. He wants to have twice as many multiple-choice questions as true/false questions.
We have to determine how many true/false questions and multiple-choice questions will be on the test.
What do understand by Modelling of a Equation ?The modelling of equation is done to derive a mathematical relation among the terms defined in a mathematical statement.
According to the question -
Assume that the number of true/false questions be x.
Assume that the number of multiple-choice questions be y.
Then -
y = 2x
Points for each true/false questions - 2 points
Points for each multiple-choice questions - 4 points
Total points of test = 100 points
Now,
Model the equation on the basis of above information -
2x + 4y = 100
2x + 4 (2x) = 100
2x + 8x = 100
10x = 100
x = 10
Therefore -
y = 2x = 2 x 10 = 20
Hence, the total questions would include 10 true/false questions and 20 multiple-choice questions.
To solve more questions on Equation modelling, visit the link below -
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Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?
Answer:
y = ⅓(x - 1425)
Step-by-step explanation:
Given
Budget = x
Mortgage = 1425
Required
Determine the amount spent on recreational activities.
First, we need to get the balance after she pays her mortgage.
Balance = Budget - Mortgage
Balance = x - 1425
From the question, we understand that she spends ⅓ of the balance on recreational activities.
Represent this with y.
y is calculated as thus:
y = ⅓ of Balance
y = ⅓ * (x - 1425)
y = ⅓(x - 1425)
Hence, the above equation y = ⅓(x - 1425) can be used to calculate the amount spent on recreational activities
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
X=4 6 x 4=24. so when y turns 16, what time four gets 16? 4x4=16
Step-by-step explanation:
hope this helps
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each graph to the equation of its line.
Answer:
If you're doing edmentum, maybe this will help. See Screenshot below. VVVVV
Step-by-step explanation:
The equation of the lines in the graphs given are:
Graph 1: y = -2x - 4
Graph 2: y = -x + 2
Graph 3: y = 4x - 4
Graph 4: y = x + 2
What is the Equation of a Line?Equation of a line is given as, y = mx + b
m = slope = rise/runb = y-intercept.Equation of the Line in Graph 1:
Slope = rise/run = -4/2 = -2
b = -4
Equation is: y = -2x - 4
Equation of the Line in Graph 2:
Slope = rise/run = -2/2 = -1
b = 2
Equation is: y = -x + 2
Equation of the Line in Graph 3:
Slope = rise/run = 4/1 = 4
b = -4
Equation is: y = 4x - 4
Equation of the Line in Graph 4:
Slope = rise/run = 2/2 = 1
b = 2
Equation is: y = x + 2
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A 3 m - 3 B 3 m + -5 C m + 1 D 3 m + 13
Answer:
It's A
Step-by-step explanation:
George buys 1.5 pounds of apples, 2.7 pounds of
oranges, and 1.9 pounds of grapes. How much
change does he get from a $10 bill?
Answer:
aaaaaaaaaaaaaa2rdfdggggdfgdgv
Step-by-step explanation:
Ezra has 21 chickens in a pen. He plans on adding 3 chickens every month to the pen. Based on this information, which representation shows this relationship between the number of chickens in the pen, y, and the number of months that have passed, x?
Answer:
Linear graph
y = 3x + 21
Step-by-step explanation:
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the .
The variable y represents the .
The deli charges $ .
Answer:x=cost per pound of meat
Y=Cost per pound of cheese
The deli charges 4.50 for a pound of meat
Step-by-step explanation:
Answer:
The variable x represents the
✔ cost per pound of meat
.
The variable y represents the
✔ cost per pound of cheese
.
The deli charges $
✔ 4.50 for a pound of meat
.
Step-by-step explanation:
The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter engine.
(a) compute the z-score corresponding to the individual who obtained 37.8 miles per gallon. interpret this result.
(b) determine the quartiles.
(c) compute and interpret the interquartile range, iqr.
(d) determine the lower and upper fences. are there anyoutliers?
31.5 36.0 37.8 38.5 40.1 42.2
34.2 36.2 38.1 38.7 40.6 42.5
34.7 37.3 38.2 39.5 41.4 43.4
35.6 37.6 38.4 39.6 41.7 49.3
the z-score corresponding to the individual is
and indicates that the data value is
standard deviation(s) the
the table is for the entire problem.
Answer:
A.) - 0.2992
B.) Q1 = 36.75
Q2 = 38.45
Q3 = 41
C.) IQR = 4.25
D.) LOWER FENCE = 30.375
UPPER FENCE = 47.375
Yes, 49.3
Step-by-step explanation:
Given the data:
Arranged data in ascending order :
31.5, 34.2, 34.7, 35.6, 36.0, 36.2, 37.3, 37.6, 37.8, 38.1, 38.2, 38.4, 38.5, 38.7, 39.5, 39.6, 40.1, 40.6, 41.4, 41.7, 42.2, 42.5, 43.4, 49.3
Using calculator to save computation time :
Population mean (μ) = 38.88
Standard deviation (s) = 3.61
A.) The zscore for individual who obtained 37.8 miles per gallon :
Standardized score formula :
Z = (Score(x) - mean) / standard deviation
Z = (37.8 - 38.88) / 3.61
Z = - 1.08 / 3.61
Z = - 0.29916
Z = - 0.2992
B) The quartile ;
Lower quartile (Q1) :
1/4(n +1)th term
n = sample size = 24
1/4(24 + 1)
= 1/4(25) = 6.25th term
(6th + 7th) =(36.2 + 37.3) = 73.5/2 = 36.75
Upper quartile (Q3) :
3/4(24 +1) = 3/4(25) = 18.75th term
(18th + 19th) = (40.6 + 41.4) = 82/2 = 41
Median (Q2) :
1/2(24 +1) = 1/2(25) = 12.50th term
(12th + 13th) = (38.4 + 38.5) = 76.9/2 = 38.45
C.) interquartile range :
Q3 - Q1 = (41 - 36.75) = 4.25
D.) OUTLIER
LOWER : Q1 - 1.5(IQR) = 36.75 - 1.5(4.25) = 30.375 ; values less than 30.375
UPPER : Q3 + 1.5(IQR) = 41 + 1.5(4.25) = 47.375 ; values greater than. 47.375
Jessica found a coupon in the Sunday paper for $0.50 off each jar of
Ragu spaghetti sauce if you purchase 3 or more jars. Krogers is
selling the sauce for $4.75 a jar and Jessica purchased 4 jars. What
was the final price?
What sample size is needed to give a margin of error within +-6 in estimating a population mean with 95% confidence, assuming a previous sample had s=20.
Round your answer up to the nearest integer. sample size = _______.
Answer:
43
Step-by-step explanation:
The formula for Margin of Error =
Margin of Error = z × standard deviation/√n
Margin of Error= ± 6
z = z score of 95% Confidence Interval is 1.96
s = 20
n = sample size
±6 = 1.96 × 20/√n
Cross Multiply
±6 × √n = 1.96 × 20
±6 × √n = 39.2
Divide both sides by ±7
√n = 39.2/±6
√n = 6.5333333333
Square both sides
n = 6.5333333333²
n= 42.684444444
Rounding up to the nearest integer = 43
In circle K with \text{m} \angle JKL= 138^{\circ}m∠JKL=138
∘
, find the angle measure of minor arc \stackrel{\Large \frown}{JL}.
JL
⌢
.
what is 3+5 divided by 6/7?
Answer:
8 divided by 6/7. I will give you the answer in fraction form and in decimal form. 56/6 can be simplified to 28/3. 28/3 is an improper fraction and should be written as 9 1/3.
Step-by-step explanation:
You add 3+5 together and then divide. After that you simplify your answer
Hope this helped, Have a Great Day!!
If 4321 - 4322 = 10
Then what's 3321 - 3322 = ?
Answer:
10 sorry if i'm wrong
Step-by-step explanation:
Someone please help thanks
Answer:
P=8T/V
Step-by-step explanation:
V=8T/P
PV=8T
P=8T/V
1000 ft to 1950 ft in 4 miles what is slope
Answer:
0.05
Step-by-step explanation:
Slope is the vertical drop or rise to the horizontal distance;
Slope = [tex]\frac{vertical interval}{horizontal distance}[/tex]
Let us convert 4 miles to feet;
1 mile = 5280ft
4 miles = 4 x 5280 = 21120ft
Slope = [tex]\frac{1950 - 1000}{21120}[/tex] = 0.05
The slope is 0.05
Which shapes have parallel sides? Choose ALL the correct answers.
Answer:
the green one for sure..
Step-by-step explanation:
Which two angles are congruent in the figure below? Be sure to use three letters to name each angle.
Answer:
< BAD and < CAD
Step-by-step explanation: line AD bisects <BAC. When a bisector bisects an angle, it splits it into 2 equal halves
The regular price of an item is $109.99. It is marked 25% off. Find the discount and the sale price to the nearest cent.
Answer:
The discount price is $27.50
The sale price of item is $82.49
Step-by-step explanation:
Regular price of item = $109.99
Discount = 25%
We need to find discount and the sale price to the nearest cent.
Finding Discount Price
First we need to find 25% of 109.99 which is the discount price
[tex]25\% \ of \ 109.99\\=\frac{25}{100}*109.99\\=27.50[/tex]
The discount price is $27.50
Now, finding Sale price
Sale Price= Regular Price - Discount Price
Sale Price= 109.99 - 27.50
Sale Price = 82.49
The sale price of item is $82.49
last question of the day lol:
Find the Slope and Y-intercept of each lines
Answer:
“Be strong and courageous. Do not fear or be in dread of them, for it is the LORD your God who goes with you. He will not leave you or forsake you.” [Deuteronomy 31:6]
Step-by-step explanation:
Answer:
The first one would be -4 and the second one would be 0
Step-by-step explanation:
look at where they cross the y line
Enter an equation in standard form for the line.
Slope is -5, and (-6, -10) is on the line.
please help me out 5x + 2 +3x + 5
Answer:
8x + 7
Step-by-step explanation:
combine the like terms
Answer:
8x+7
Step-by-step explanation:
5x+3x=8x
2+5=7
ihope answer helps u
A landlord owns 3 condominiums, a 1-bedroom condo, a 2-bedroom condo, and a 3-bedroom condo. The total rent she receives is $1240. She needs to make repairs on the condos, and it costs 10% of the 1-bedroom condo’s rent for its repairs, 20% of the 2-bedroom for its repairs, and 30% of the 3-bedroom condo’s rent for its repairs. The total repair bill was $276. The 3-bedroom condo’s rent is twice the 1-bedroom condo’s rent. How much is the rent for all three condos?
Total spent percentage=30+10=40%
Now
[tex]\\ \sf\longmapsto 40\%\:of 1240[/tex]
[tex]\\ \sf\longmapsto 0.40(1240)[/tex]
[tex]\\ \sf\longmapsto 472[/tex]
Total rent for three condos
[tex]\\ \sf\longmapsto 472+276=752[/tex]
Twelve large bottles of water cost $9. a. How many bottles can you buy for $3?
Answer:
4 bottles
Step-by-step
3 is 1/3 of 9 and 12/3 is 4 bottles
Estimate the:
length of a pen
length of a swimming pool
length of a marathon race
5.2 inches 13.12 cm
length of a swimming pool:50m
length of a marathon race:42.195 kilometers
hope this answers your question!To encourage people to vote John calls his family and friends every week. If he Dedicates three hours to making calls and has a goal of making one car every 1/5 hour, how many people will he reach out to?
Answer:
15 people
Step-by-step explanation:
Find m angle KLJ
Answer choices:
22.5 degrees
75 degrees
15 degrees
73 degrees
what is 12/$0.89 because i need help like now. So please give me the right answer this time cause last time i failed because i asked brainly.
Answer:
$13.4 is the answer
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Jason family donated 12 cases of soup for the schools food drive. Each case had four rows with six cans of soup in each row. how many cans of soup did Jason's family donate in all?
Answer:
288
Step-by-step explanation:
4*7=24
24*12=288
how Is this not 20 characters
Assume the table gives data on field goal shooting for two members of the Benedict College 2014-2020 men's basketball team. Seth Fitzgerald Roberto Mantovani Made Missed Made Missed Two-pointers 123 118 87 84 Three-pointers 31 6 2 17 NOTE: The numerical values in this problem have been modified for testing purposes. (a) What percent of all field goal attempts did Seth Fiqzgerald make? (Enter your answers rounded to two decimal places.) Seth Fitzgerald's overall field goal percentage:_______ What percent of all field goal attempts did Roberto Mantovani make? (Enter your answers rounded to two decimal places.) What percent of all field goal attempts did Roberto Mantovani make? (Enter your answers rounded to two decimal places.) Roberto Mantovani's overall field goal percentage:______________. (b) Find the percent of all two-point field goals and all three-point field goals that both Seth and Roberto made. (Enter your answers rounded to two decimal places.) Seth Fitzgerald's two-pointers: ______________% Roberto Mantovani's two-pointers:___________ % Seth Fitzgerald's three-pointers:____________ Roberto Mantovani's three-pointers:__________ (c) Roberto had a lower percent than Seth for both types of field goals, but had a better overall percent. That sounds impossible, select the correct statement concerning the situation. i) This is an example of Simpson's paradox. The comparison that holds for both field goal groups is reversed when the groups are combined into one group. ii) The sample size is too small and this explains why the results seem contradictory. iii) You should never compare percentages for two different groups. iv) This is an example of correlation. The comparison that holds for both field goal groups is reversed when the groups are combined into one group.
Answer:
(a) What percent of all field goal attempts did Seth Fitzgerald make? (Enter your answers rounded to two decimal places.)
Seth Fitzgerald's overall field goal percentage:__59.69%_____
What percent of all field goal attempts did Roberto Mantovani make? (Enter your answers rounded to two decimal places.)
Roberto Mantovani's overall field goal percentage: ______40.31%________.
(b) Find the percent of all two-point field goals and all three-point field goals that both Seth and Roberto made. (Enter your answers rounded to two decimal places.)
Seth Fitzgerald's two-pointers: _____58.57%_________%
Roberto Mantovani's two-pointers:_____41.43%______ %
Seth Fitzgerald's three-pointers:_____64.58%_______
Roberto Mantovani's three-pointers:_____35.42%_____
(c) Roberto had a lower percent than Seth for both types of field goals, but had a better overall percent. That sounds impossible, select the correct statement concerning the situation.
i) This is an example of Simpson's paradox. The comparison that holds for both field goal groups is reversed when the groups are combined into one group
Step-by-step explanation:
a) Data and Calculations:
Benedict College 2014-2020 men's basketball team:
Seth Fitzgerald Roberto Mantovani Total
Made Missed Made Missed Made Missed
Two-pointers 123 118 87 84 210 205
Three-pointers 31 6 17 2 48 8
Total 154 124 104 86 258 210
a) All field goal attempts = 258 (154 + 104)
Field goal attempts by Seth Fitzgerald = 154/258 * 100 = 59.69%
Goal 154 - 124 = 30/258 * 100 = 11.63%
Roberto Mantovani = 104/258*100 = 40.31%
Goal 104 - 86 = 18/258 *100 = 6.98%
Percent of all two-point field goals and all three-point field goals that both Seth and Roberto made:
Goals by both = 48 (30 + 18) = 48/258*100 = 18.61 (11.63 + 6.98)
Seth Fitzgerald's two-pointers = 123/210*100 = 58.57%
Roberto Mantovani's two-pointers = 87/210*100 = 41.43%
Seth Fitzgerald's three-pointers = 31/48*100 = 64.58%
Roberto Mantovani's three-pointers = 17/48*100 = 35.42%
b) Simpson's paradox, also called Yule-Simpson effect, says that when we combine all of the groups together (e.g. two-pointer and three-pointer games played by Seth and Roberto respectively) and look at the data in total form, the correlation that we noticed before may reverse itself. The cause of this reversion is lurking variables or numerical values of the data.
What is the equation for trying to solve slope ?
Answer:
slope =
Step-by-step explanation: