4. Next week your math teacher is giving a chapter test worth 100 points. The test will consist of 35
problems. Some problems are worth 2 points and some problems are worth 4 points. How many
problems of each value will be on the test?
Answers
Answer:
Step-by-step explanation:
Let T stand for the number of 2 point questions and F for the number of 4 point questions.
We are told that:
2T + 4F = 100 {The total score is the sum of 2 and 4 point questions times their point values]
and that
T + F = 35 [the total number of questions is 35]
Rearrange the last equation to solve for either T or F, and substitute that into the first equation:
T = 35 - F
--
2T + 4F = 100
2(35-F) + 4F = 100
70 - 2F +4F = 100
2F = 30
F = 15
Since T + F = 35, T = 20
Check:
2-Point Questions: 20*2 = 40
4-Point Questions: 15*4 = 60
Total test is 100 points
Related Questions
Biologists estimate deer populations by sampling a small area and using that information to estimate the entire
population of a large area. They use the equation p= na to estimate p, the population of deer in a acres of land, where
n is the number of deer per acre determined from the sampling. A biologist determines that 1,800 deer populate an area
of 150 acres. What value of n did the biologist find in the initial sampling of the population?
12
B 83
1,650
270,000
Answers
please help me with this step by step
Answers
A candy store uses 10. 3 grams of sugar each hour. How many grams of sugar will the store use in 10 hours?
Answers
The candy store will use 103 grams of sugar in 10 hours.
To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).
To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.
We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.
So the calculation would be:
10.3 grams/hour x 10 hours = 103 grams
Therefore, the candy store will use 103 grams of sugar in 10 hours.
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Hurricane Andrew swept through southern Florida causing billions of dollars of damage. Because of the severity of the storm and the type of residential construction used in the semitropical area, there was some concern that the average claim size would be greater than the historical average hurricane claims of $24,000. Several insurance companies collaborated in a data gathering experiment. They randomly selected 84 homes and sent adjusters to settle the claims. In the sample of 84 homes, the average claim was $27,5000 with a population standard deviation of $2400. Is there sufficient evidence at a 0.02 significance level to support the claim that the home damage is greater than the historical average? Assume the population of insurance claims is approximately normally distributec. Compute the value of the test statistic.
Answers
The value of the t test is 13.36, we have to conclude that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.
The hypothesis formulationH0: u = 24000
H1: u > 24000
This test is a right tailed testwe have n = 84 homes
bar x = 27500
s = 2400
Next we have to find the test statistic
The formula for this is given as
\(t = \frac{x-u}{s/\sqrt{n} }\)
When we out in the values we would have
\(t = \frac{27500-24000}{2400/\sqrt{84} }\)
This would give us the answeer of the t test as
t test = 13. 3658
We have alpha = 0.02
the degree of freedom = 84 - 1 = 83
we have to find tα/2, df
= ±2.0865
Given that the value of the test statistic is greater than critical value we would have to then reject the null hypothesis.
Hence the conclusion that we can make is that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.
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Pastels weekly salary includes base pay plus commission of his sales. the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars. find pastels salary in dollars for a week when his sales were 0$
Answers
the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars. pastels salary in dollars for a week when his sales were 0$ is $700.
Pastels weekly salary includes base pay plus commission of his sales.
the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars.
find pastels salary in dollars for a week when his sales were 0$
the model is given as
s=700+0.07c
let us solve for c, the sales made
s =700 +0.07c given sales is 0$
then s=700
Hence , the equation s=700+0.07c models between his weekly sales in dollars and the amount of his sales in dollars. pastels salary in dollars for a week when his sales were 0$ is $700.
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Find y"" by implicit differentiation. Simply where possible. X^2+7y^2=7
Answers
The given equation is X² + 7y² = 7, and dy/dx by implicit differentiation of the given equation gives dy/dx = -2x/14y or, dy/dx = -x/7y.
We have been given the equation X² + 7y² = 7, and we have to find the value of dy/dx using implicit differentiation. To do that, we need to differentiate both sides of the equation with respect to x. Differentiating X² + 7y² = 7 with respect to x, we get:
d/dx(X² + 7y²) = d/dx(7)
2x + 14y(dy/dx) = 0
Now, we can simplify this equation further by solving it for (dy/dx).
14y(dy/dx) = -2x
dy/dx = -2x/14y
dy/dx = -x/7y
Hence, we have found the value of dy/dx using implicit differentiation. We can simplify this result further if we know the values of x and y. But since we have not been given any specific values, we can leave the answer in this form.
The value of dy/dx for the given equation X² + 7y² = 7 has been found using implicit differentiation. We can use this method to find the derivative of any equation that is difficult to differentiate explicitly.
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A copy machine produces 40 copies in 5 minutes. How many copies can the machine make in 3 minutes? Solve and explain your solution.
Answers
Answer:
24
Step-by-step explanation:
40 divided by 5 = 8
8 x 3 = 24
Plz mark me brainsliesttttt
What is the measure of ZC?
B
70
?
40
A. 70°
B. 40°
C. 110°
D. 30°
Answers
Answer:
The answer is 70
Step-by-step explanation: Am just smart ;)
Option A is correct, the measure of ∠C is 70 degrees
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The measure of ∠A is 40 degrees
measure of ∠B is 70 degrees
We have to find measure of ∠C
By angle sum property the sum of three angles in a triangle must be 180 degrees
∠A +∠B+∠C=180
40 + 70 +∠C=180
110 + ∠C=180
Subtract 110 from both sides
∠C=70 degrees
Hence, option A is correct, the measure of ∠C is 70 degrees
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The area of the rectangle below is 44m2
Answers
So
44 = x * 3.6667
X = 44/3.66666667
X = 12
Math check!
Does 12 * 3.6666 = 44?
Answer? Yes!
jeremy has 18 marbles he loses 6 of them what fraction of the marbles dose he have left
Answers
6/9
2/3
Make sure you simplify fractions
Ok so we first have 18/18 when he doesn't loose any.
Lets take off 6 from the numerator which is.. 12/18
So.. your answer is 12/18 marbles left.
BUT!! if it were to be simplified... it would be. 2/3
ONLY USE 2/3 IF IT ASKS FOR SIMPLIFIED!!
Hope this helps. :)
ANSWER FAST PLEASE WHORVER IS FIRST GETS BRAINLIEST
Answers
Answer:-3/5
Step-by-step explanation:
rise/run
A car service charges $3.50 for the first ½ mile, and additional mileage is charged at the rate of $0.50 for each additional 0.1 mile. You plan to give the driver a $4 tip. How many miles can you ride for $25
Answers
Answer:
4 miles
Step-by-step explanation:
Given that:
Charges for the first \(\frac{1}2\) mile = $3.50
Tip given to driver = $4
Charges for additional 0.1 mile = $0.50
Total money available = $25
To find:
Total number of miles that a person can ride?
Solution:
Let us have a look at the money left after charges for the first \(\frac{1}{2}\) mile and tip.
\(\Rightarrow \$3.50 + \$4 = \$7.50\)
Money left = $25 - $7.50 = $17.50
$0.50 is required for the distance = 0.1 mile
$1 is required for the distance = 0.2 miles
$17.50 is required for the distance = 0.2 \(\times\) $17.50 = 3.5 miles
Total distance traveled = First half mile + Distance traveled with the amount of money remaining as calculated above. = 0.5 + 3.5 = 4 miles
Asap?
Robert wrote two patterns. Pattern 1 started at 2 and followed the rule "add 4." Pattern 2 started at 1 and followed the rule "add 3." Pattern 1 is represented by x-coordinates, and Pattern 2 is represented by y-coordinates. Which table shows the ordered pairs for these two patterns?
X Y
1 2
4 6
8 10
12 14
X Y
2 1
6 4
10 7
14 10
X Y
1 2
2 6
3 10
4 14
X Y
2 1
4 4
6 7
8 10
Answers
Answer:
the 2nd one lol
Step-by-step explanation:
Answer:
number 2ᕙ(＠°▽°＠)ᕗStep-by-step explanation:
Determine the work done in moving a particle along the straight path from (1,1) to (1,-1) to (3,-1) to (3,1) to (1,1) if the force field is F(x,y)=−(x+2y2)j N
Answers
The work done in moving the particle along the given path is -20/3 units of work.
To determine the work done in moving a particle along a path in a force field, we can use the line integral formula:
Work = ∫ F · dr
where F is the force vector field, dr is the differential displacement vector along the path, and the integral is taken over the path.
In this case, the force vector field is given as F(x, y) = -(x + 2y²)j N, where j is the unit vector in the y-direction.
Let's calculate the work done step by step along the given path.
From (1, 1) to (1, -1): We move along a vertical line from y = 1 to y = -1 while x remains constant at x = 1. dr = 0i - dyj dr = -dyj
Work = ∫ F · dr = ∫ -(1 + 2y²)j · (-dyj) = ∫ (1 + 2y²) dy
Work = [y + (2/3)y³] evaluated from y = 1 to y = -1
Work = [(-1) + (2/3)(-1)³] - [1 + (2/3)(1)³]
Work = [-1 - (2/3)] - [1 + (2/3)]
Work = -5/3
From (1, -1) to (3, -1): We move along a horizontal line from x = 1 to x = 3 while y remains constant at y = -1. dr = dxi + 0j dr = dxi
Work = ∫ F · dr = ∫ -(x + 2(-1)²)j · dxi = ∫ -(x + 2) dx
Work = [-x²/2 - 2x] evaluated from x = 1 to x = 3
Work = [-(3²)/2 - 2(3)] - [-(1²)/2 - 2(1)]
Work = [-9/2 - 6] - [-1/2 - 2]
Work = -9/2 - 6 + 1/2 + 2
Work = -20
From (3, -1) to (3, 1): We move along a vertical line from y = -1 to y = 1 while x remains constant at x = 3. dr = 0i + dyj dr = dyj
Work = ∫ F · dr = ∫ -(3 + 2y²)j · (dyj) = ∫ -(3 + 2y²) dy
Work = [-3y - (2/3)y³] evaluated from y = -1 to y = 1
Work = [-3(1) - (2/3)(1)³] - [-3(-1) - (2/3)(-1)³]
Work = [-3 - 2/3] - [3 + 2/3]
Work = -8/3
From (3, 1) to (1, 1): We move along a horizontal line from x = 3 to x = 1 while y remains constant at y = 1. dr = -dxi + 0j dr = -dxi
Work = ∫ F · dr = ∫ -(x + 2(1)²)j · (-dxi) = ∫ -(x + 2) dx
Work = [-x²/2 - 2x]
evaluated from x = 3 to x = 1
Work = [-(1²)/2 - 2(1)] - [-(3²)/2 - 2(3)]
Work = [-1/2 - 2] - [-9/2 - 6]
Work = -1/2 - 2 + 9/2 + 6
Work = 11/2
Now, we can calculate the total work done by summing up the work done in each segment:
Total Work = Work segment 1 + Work segment 2 + Work segment 3 + Work segment 4
Total Work = -5/3 + (-20) + (-8/3) + 11/2
Total Work = -5/3 - 60/3 - 8/3 + 33/6
Total Work = (-5 - 60 - 8 + 33)/6
Total Work = -40/6
Total Work = -20/3
Therefore, the work done in moving the particle along the given path is -20/3 units of work.
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The figure below is a square. Find the length of side
x
x in simplest radical form with a rational denominator.
Answers
Parallelogram ABCD is rotated to create image A'B'C'D'.
Answers
The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:
Point A (2, 5) becomes A' (-5, 2).
Point B (5, 4) becomes B' (-4, 5).
Point C (5, 2) becomes C' (-2, 5).
Point D (2, 3) becomes D' (-3, 2).
By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.
This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.
Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.
Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).
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let x be the total amount saved in dollars at the cash register. the pdf of x is given by: value of x 0 8 20 28 40 50 58 70 probability 0.36 0.21 0.24 0.1225 0.0175 0.03 .0175 0.0025 according to the table, what is the chance i save between $14 and $50, exclusive? p( 14 < x < 50 )
Answers
There is a 38% probability of saving between $14 and $50,
To find the probability of saving between $14 and $50, exclusive, we need to sum the probabilities of all the values in the given range.
From the table, we can see that the values in the range $14 to $50, exclusive, are: 20, 28, 40.
To calculate the probability, we sum the probabilities associated with these values:
P(14 < x < 50) = P(x = 20) + P(x = 28) + P(x = 40)
Given the probabilities in the table, we have:
P(x = 20) = 0.24
P(x = 28) = 0.1225
P(x = 40) = 0.0175
Therefore, the probability of saving between $14 and $50, exclusive, is:
P(14 < x < 50) = 0.24 + 0.1225 + 0.0175 = 0.38
So, there is a 38% chance of saving between $14 and $50, exclusive.
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please help with the question below asap !! thank you in advance !!
Answers
have a lovely rest of your day!
16.-Write an algebraic model for the statement. the difference of a number and -8 is 7
Answers
Let x be the number that we are interested in, then the statement written in algebraic form is:
\(x-(-8)=7.\)Simplifying the above equation we get:
\(x+8=7.\)Subtracting 8 from the above equation we get:
\(\begin{gathered} x+8-8=7-8, \\ x=-1. \end{gathered}\)Therefore, the number we are looking for is -1.
Answer:
\(x-(-8)=7.\)And x=-1.
what is the missing number 54 : ? = 9 : 1
Answers
Answer:
The missing number is 6.
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
Distributive property quick check. Simplify: 1/2 (6z+10). Simplify: 10(5+2x). Simplify: 3(5y+6)-4. Simplify: (3a+2)(4).
Answers
Answer:
1: 3z+5
2: 50+20x
3: (15y+18)-4
4: 12a+8
11. Given the four points, A(-3, 5), B(1, 13), C(4, 2), and D(10, 5) are AB and CD parallel? Use
mathematical evidence to justify your answer.
Answers
AB and CD are not parallel lines.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
If the slope of AB and CD are equal then the lines are parallel.
A(-3, 5), B(1, 13), C(4, 2), and D(10, 5)
AB=13-5/1+3
=8/4=2
CD=5-2/10-4
=3/6=1/2
As the slope of lines are different, the lines are not parallel.
Hence, AB and CD are not parallel lines.
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true or false? measures of association such as odds ratios and rate ratios are usually accompanied by 95% confidence intervals.
Answers
The statement, "measures of association such as "odds-ratios" and "rate-ratios" are accompanied by 95% confidence intervals" is True because these measure-of-associations are accompanied by 95% confidence interval.
The Measures of association such as odds ratios and rate ratios are usually accompanied by 95% confidence intervals. Confidence intervals provide a range of values within which the true population parameter is likely to fall, with a certain degree of certainty (usually 95%).
The width of the confidence interval reflects the amount of uncertainty in the estimate, with wider intervals indicating greater uncertainty. Confidence intervals are important because they provide a measure of the precision of the estimate and allow researchers to assess the significance of their findings.
Therefore, the statement is True.
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question 19in this list of numbers, what is the median? 97, 96, 95, 93, 93, 90, 87, 86, 84, 78, 75, 74, 70, 68, 65.9383.48680
Answers
The median of the given list of numbers is 87.
To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.
If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
First, let's arrange the numbers in ascending order:
65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680
There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.
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10. A soccer team is having a fundraiser by selling raffle tickets. Each ticket costs $2. For every 3 tickets
purchased, there is a $1. Discount. Which table displays the total price for the number of tickets
purchased?
Answers
Answer:
B
Step-by-step explanation:
2 over 3 tickets subtract the 1 dollar discount
The answer is B.
I hope this helped! And I might be wrong, just saying lol
I don't think I am though...
600+400-40+8=?
first to anwser gets brainliest!
Answers
Answer:
Step-by-step explanation:
600+400=1000-40=960+8=968
\(\\ \rm\Rrightarrow 600+400-40+8\)
\(\\ \rm\Rrightarrow 1000-40+8\)
\(\\ \rm\Rrightarrow 940+8\)
\(\\ \rm\Rrightarrow 948\)
a can contains 24 fluid onces of fruit juice . how many pints of fruit juice does the can contain
A. 3 pt
B. 1 1/2 pt
C. 12 pt
D. 1/3 pt
Answers
Answer:
B 1 1/2 pts
4 fluid ounces = 0.25 pints
24 fluid ounces = 6 pt
5. An investment doubles in value every 9 years. What was the starting value of the investment if
it is worth $4,800 after 27 years?
Answers
Answer:
16,00
Step-by-step explanation:
9 years is the (time)
divide the 27 years by 9 to see how many times it doubles
the ans is 3
now simply divide the value which is $4,800 by the 3
this gives you 1,600
What are the increasing and decreasing intervals?
Answers
pleasee help asapp .
Answers
Answer: probably a
Step-by-step explanation: