Answer:
If she drives the car 150 miles, option A costs more. It'll cost $30 more.
The options cost the same if she drives 75 miles. If she drives less than 75 miles, option A costs less.
The required answer for (a) if Milan drives car 150 miles then Option A costs more $30 than Option B
Also the answer for (b) is the two Options costs same at 150 miles
Cartesian System:
The horizontal line called x-axis and vertical line called y-axis represent the position of any moving object.
How to find position on cartesian coordinate?Here we have assigns x-axis as miles driven by rental car
and y-axis is assigned as costs
Also we have given
Option (1) : The red line in the given graph
Option (2) : constant parallel line to the x-axis with costs $50
By observing the graph
(a)
At 150 miles at x-axis we found Option B costs $50 while Option A costs $80 which is 80 - 50 = $30 more than Option B
(b)
If we observe the intersecting point of these line then it is (75, 50)
This shows the equal costs $50 will be gain at 75 miles driven
If Milan drives less than this 75 miles then Option B is less costs.
This is the conclusion to the answer.
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which must be true in order for the relationship triangle ZYX to be congruent to triangle WVU to be correct
Answer:
last option
Step-by-step explanation:
at least two respective angle have same measure
Answer:
It is the last one
Step-by-step explanation:
edg 2021
True or False
(x - 3)(x + 3) = (x + 3)(x – 8)
Answer:
False
Step-by-step explanation:
If you divide both sides of the equation by (x+3), you get (x-3)=(x-8)
That makes 3 = 8.
The only way this is possible is if x = -3
Answer:
False
See picture for steps
What is the value of n in the equation 7n+32=54+6
a rubber ball is dropped on a hard surface takes a sequence of bounces, each one 3/5 as high as the preceeding one. If this ball is dropped at 10 feet, what is the total vertical distance it has traveled at the time when it hits the surface for the fifth time?
Answer:
StepThe answer is 36 14/125 feet
-by-step explanation:
Final answer:
The total vertical distance the ball has traveled when it hits the surface for the fifth time is 38 feet.
Explanation:
To find the total vertical distance the ball has traveled when it hits the surface for the fifth time, we need to analyze the sequence of bounces. Each bounce is 3/5 as high as the preceding one, meaning the height decreases by a factor of 3/5 each time.
If the starting height is 10 feet, the first bounce will reach a height of 10 * (3/5) = 6 feet. The second bounce will reach a height of 6 * (3/5) = 3.6 feet, and so on.
To find the total distance, we need to sum up the heights of all the bounces. This can be calculated using the formula for the sum of a geometric series:
Sum = a * (1 - r^n) / (1 - r), where a is the initial term, r is the common ratio, and n is the number of terms.
In this case, a = 10, r = 3/5, and n = 5. Plugging in the values into the formula, we get:
Sum = 10 * (1 - (3/5)^5) / (1 - 3/5) = 10 * (1 - 243/625) / (2/5) = 10 * (382/625) / (2/5) = 10 * (382/625) * (5/2) = 191 * 5 / 25 = 38 feet.
Which dimensions can create only one unique triangle?
Answer:
The dimensions must all add up to 180°.Step-by-step explanation:
For example;
Your triangles' angles are: 56, 77, and 47.
56 + 77 + 47 = 180
*You did not give me any values to solve for, but just since you didn't- I'v provided an example to assist you in doing it yourself. If you want me to solve your full equation please add the angles or 3 dimensions of the triangle.
I hope this helped!Answer:
a
Step-by-step explanation:
Sue wants to increase 160 by 4%
She writes down
160 x 1.4 = 224
Sue's method is wrong.
a) Instead of multiplying by 1.4, write down
what she should have multiplied by
Bill wants to decrease 160 by 6%
b) Complete the statement below to show how Bill can decrease 160 by 6%
Instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
So, firstly, Sue wanted to increase 160 by 4%
Increased value = 160 + 4% of 160
Now, 4% of 160 is calculated as:
[tex]\dfrac{160}{100} \times 4 = 160 \times 0.04[/tex]
Thus, we get:
[tex]\text{Increased value} = 160 + 160 \times 0.04 = 160(1 + 0.04) = 160 \times 1.04[/tex]
Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04
Now, Bill wants to decrease 160 by 6%
Decreased value = 160 - 6% of 160
Now, 6% of 160 is calculated as:
[tex]\dfrac{160}{100} \times 6 = 160 \times 0.06[/tex]
Thus, we get:
[tex]\text{Decreased value} = 160 - 160 \times 0.06 = 160(1 - 0.06) = 160 \times 0.94[/tex]
Thus, Bill can decrease 160 by 6% by multiplying 160 by 0.94
Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94
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The correct multiplier Sue should have used is 1.04 to increase 160 by 4%. To decrease 160 by 6%, Bill should use the multiplier 0.94.
a)She incorrectly multiplied 160 by 1.4. The correct multiplier should be 1.04.
To increase a number by a percentage, you first find the decimal equivalent of the percentage.
For 4%, it is 0.04.
Add this decimal to 1.
(1 + 0.04 = 1.04).
Now, multiply the original number (160) by 1.04.
Therefore, 160 x 1.04
= 166.4.
b) Bill wants to decrease 160 by 6%. To find the correct multiplier,
First, find the decimal equivalent of 6%, which is 0.06.
To decrease a number by this percentage, subtract the decimal from 1.
(1 - 0.06 = 0.94).
Now, multiply the original number (160) by 0.94.
Therefore, 160 x 0.94
= 150.4.
Vanessa measured 1 2/3 quarts of cherries and 1/3 quart of peaches. How many pints of fruit did Vanessa measure altogether?
Answer:
4 pints
Step-by-step explanation:
All we need to do is convert the amount of each fruit from quarts to pints and then add them up.
For Cherries:
She measured [tex]1\frac{2}{3}[/tex] quarts.
1 quart = 2 pints
=> [tex]1\frac{2}{3}[/tex] quarts = [tex]1 \frac{2}{3} * 2 = \frac{5}{3} * 2 = \frac{10}{3}[/tex] pints
For Peaches:
She measured [tex]\frac{1}{3}[/tex] quarts.
=> [tex]\frac{1}{3}[/tex] quarts = [tex]\frac{1}{3} * 2 = \frac{2}{3}[/tex] pints
Hence, the amount of fruits she measures altogether, in pints, is:
[tex]\frac{10}{3} + \frac{2}{3} = \frac{12}{3} = 4[/tex]
She measured 4 pints of fruit altogether.
Please answer, i will give brainiest
Answer:
52
Step-by-step explanation:
52
Match its group with its percentage or mean using the table below.
Answer:
1) [tex]\bar x = 6.2[/tex], 2) [tex]\bar x = 8.75[/tex], 3) [tex]\bar x = 4.5[/tex], 4) [tex]p = 40\,\%[/tex], 5) [tex]p = 60\,\%[/tex], 6) [tex]p = 10\,\%[/tex]
Step-by-step explanation:
1) Mean length of all fish in the sample:
[tex]\bar x = \frac{12+5+3+5+8+2+10+9+4+4}{10}[/tex]
[tex]\bar x = 6.2[/tex]
2) Mean length of adult fish in the sample:
[tex]\bar x = \frac{12+5+8+10}{4}[/tex]
[tex]\bar x = 8.75[/tex]
3) Mean length of juvenile fish in the sample:
[tex]\bar x = \frac{5+3+2+9+4+4}{6}[/tex]
[tex]\bar x = 4.5[/tex]
4) Percentage of sample that were adult fish:
[tex]p = \frac{4}{10}\times 100\,\%[/tex]
[tex]p = 40\,\%[/tex]
5) Percentage of sample that were juvenile fish:
[tex]p = 100\,\% - 40\,\%[/tex]
[tex]p = 60\,\%[/tex]
6) Percentage of sample that were juveniles over 8 inches long:
[tex]p = \frac{1}{10}\times 100\,\%[/tex]
[tex]p = 10\,\%[/tex]
Sandra wants to give a party for 60 people. She has a punch recipe that makes 2 gallons of punch and serves 15 people. How many gallons of punch should she make for her party? *
Answer:8
Step-by-step explanation:
Sandra wants to give a party for 60 people. Given that her punch recipe, which yields 2 gallons, serves 15 people, she can use a proportional relationship to determine she will need 8 gallons of punch.
Explanation:This question can be solved by setting up a proportional relationship. In the given case, we know that the punch recipe produces 2 gallons of punch and serves 15 people. Hence, the ratio is 2 gallons per 15 people or 2/15.
Now, let's use this ratio to calculate how many gallons of punch she will need for 60 people. Form a proportion as follows:
2/15 = x/60
Where 'x' represents the number of gallons needed for 60 people. To find 'x', cross-multiply:
2 * 60 = 15 * x
120 = 15x
Then, divide both sides by 15 to solve for 'x':
x = 120/15
So, 'x' equals 8. That means Sandra needs to make 8 gallons of punch for her party.
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What is the y-intercept of the line given by the equation y = 8x + 75?
А. (0, -8)
В. (0, 75)
с. (0, -75)
D. (0, 8)
Answer: (0, 75)
Step-by-step explanation: This equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier or the coefficient of the x term represents the slope of the line and the b or the constant term represents the y-intercept of the line.
In this equation, we can see that the y-intercept is 75 but it's important to understand that the y-intercept is a coordinate point so I like to always write it as a coordinate point where the x value is going to be 0 and your b value is going to be your value on the y-axis. So we can write this as (0, 75).
How many solutions does this system have? 2x+8y=16,-3x+6y=30
Final answer:
To determine the number of solutions for the system of equations 2x+8y=16 and -3x+6y=30, the elimination method can be used. After multiplying and combining the equations, it is found that the system has a unique solution at (-4, 3). This means the two lines intersect at exactly one point.
Explanation:
The student is asking about the number of solutions for the system of equations 2x+8y=16 and -3x+6y=30. To find out how many solutions the system has, we can use either substitution, elimination, or graphing methods. Substitution involves solving one equation for one variable and then substituting that into the other equation. Elimination involves adding or subtracting equations to cancel out one of the variables, which can be followed by solving for the remaining variable. Graphing would involve plotting both equations and observing their intersection points.
For this specific problem:
Equation 1: 2x+8y=16
Equation 2: -3x+6y=30
If we try to use the elimination method, multiplying Equation 1 by 3 and Equation 2 by 2 would allow us to cancel out the x's:
Multiplying Equation 1 by 3: 6x+24y=48
Multiplying Equation 2 by 2: -6x+12y=60
Adding these equations together gives us:
36y=108, which simplifies to y=3. Substituting y=3 into Equation 1, we can solve for x:
2x+8(3)=16
2x+24=16
2x=-8
x=-4
Thus, the system has a unique solution (x, y)=(-4, 3), indicating that the two lines intersect at exactly one point.
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed. A sphere with height h and radius r. A cylinder with height h and radius r. Which equation gives the volume of the sphere? V = two-thirds (27 pi) V = four-thirds (27) V = two-thirds (27) V = four-third (27 pi) PLEASE HELLLLP
Answer:
C
Step-by-step explanation:
its not A for sure B and D dont make sense
Answer:
C
Step-by-step explanation:
What is bigger 2/8 or 4/16
Answer:
los dos son lo mismo solo que se multiplican por dos espero me entiendas
Step-by-step explanation:
Answer: They equal the same thing
Step-by-step explanation: Notice that the fractions that we're comparing in this problem have different denominators. When fractions have different denominators they're called unlike fractions.
To compare unlike fractions, we must first get a common denominator.
The common denominator of 8 and 16 will be the least common multiple of 8 and 16 or 16. To get a 16 in the denominator of 2/8, we multiply the numerator and the denominator by 2 which gives us 4/16.
Now notice that 4/16 is equal to 4/16 since we changed 2/8.
Since 4/8 equals 4/8, these fractions are the same
How to solve the problem 11 1/5 - 10 4/15 =
Answer:
is 5
Step-by-step explanation:
bc you know you know
so the answer is 14/15.
Hope this will help u...
After a 10% discount, the price of a T-shirt is $27. What did as the original price?
Answer:
The original price was $30
Step-by-step explanation:
Answer:
According to my calculations, the original price was $30.
Factor: −22d³+33d²+33
Answer:
-2d^3 +3d^2 +3
Step-by-step explanation:
The biggest number you can take out of each term would be 11, so you divide each term individually by 11.
-22/11= -2
33/11=3
33/11=3
Then you keep the variables the same because you don't have a d in every term, therefore you cannot remove a d.
A rectangle has a height of 5y^3 and a width of 3y^3-8y^2+2y. Express the area of the entire rectangle. Your answer should be a polynomial in standard form.
Solution:
Given that, A rectangle has:
[tex]height = 5y^3 \\\\width = 3y^3 - 8y^2 + 2y[/tex]
Express the area of the entire rectangle
[tex]\text{Area of rectangle } = 5y^3 \times (3y^3 - 8y^2 + 2y)[/tex]
[tex]Area = 5y^3\times \:3y^3+5y^3\left(-8y^2\right)+5y^3\times \:2y\\\\Area = 15y^6 -40y^5 + 10y^4 \\\\[/tex]
Standard form means that the terms are ordered from greatest exponent to lowest exponent
Thus area of entire rectangle in standard form is: [tex]15y^6 -40y^5 + 10y^4[/tex]
what is the correct method to label a line with point U and W on it
Answer:
The answer is B.
Step-by-step explanation:
How much would $200 invested at 4% interest compounded continuously be worth after 8 years
Answer: 264
Step-by-step explanation:
25% = degrees of 360
Answer:
[tex]90^o[/tex]
Step-by-step explanation:
Step 1: Multiply
[tex]0.25 * 360^o[/tex]
[tex]90^o[/tex]
Answer: [tex]90^o[/tex]
Sue has 18 sweets .Tony also has 18 sweets.Sue gives x sweets to Tony.Sue then eats 5 of her sweets.Tony then eats half of his sweets.Write expressions for the number of sweets Sue and Tony now have.
Answer:
SUE: (18-x)-5
TONY: (18+x) / [tex]\frac{1}{2}[/tex]
Sue has 18 sweets
Tony also has 18 sweets
Sue gives x sweets to Tony
Sue then eats 5 of her sweets
Tony then eats half of his sweets
(18-x)-5=(18+x)/ 1/2
x= -7.6
Which is an equation of the line that passes through the
point (5,-2) and has a slope of -3?
Slope intercept form: y = mx + b
We know the slope, so we need to use the given point in the generic slope intercept form and solve for b.
y = -3x + b
-2 = -3(5) + b
-2 = -15 + b
b = 13
y = -3x + 13
Hope this helps!! :)
Examine the diagram. It is not drawn to scale. A triangle has angles A, B, 80 degrees. The exterior angle to angle A is 150 degrees. Choose the statements that are true based on the diagram. ∠A is supplementary to the exterior angle. ∠A and the 80° angle are remote interior angles. 80° + m∠B + 150° = 360°. ∠B measures 70°. ∠A measures 40°.
Answer:
∠A is supplementary to the exterior angle and ∠B measures 70°
Step-by-step explanation:I just answered this question and got it right.
The answer is A and D.
- got it right on edge
- have a good day :)
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?
It cannot be a fraction or decimal because the depth of the well is a whole number.
It must be a positive number since it represents a number of hours.
It must be a negative number because the depth is below sea level.
It cannot be greater than –72 because that is the depth of the well.
Answer:
Option B is correct
It must be a positive number since it represents a number of hours.
Step-by-step explanation:
As per the statement:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
__________________________________________________________
Given the equation as:
Using distributive property,
Combine like terms;
Subtract 40 from both sides we have;
Divide both sides by -8 we have;
h = 14 hours
__________________________________________________________
Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.
The statement true about Pieter's solution is that b. It must be a positive number since it represents a number of hours.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given is an equation,
7h – 5(3h – 8) = –72
where h is the number of hours taken to dig a well to a level of 72 feet below sea level.
The solution of the given equation will give the value f h, which is the number of hours taken to dig the well to a depth of 72 feet.
We know that, time can never be a negative number. So the value of h must be positive.
So the correct option is It must be a positive number since it represents a number of hours.
Solution is,
7h – 5(3h – 8) = –72
7h - 15h + 40 = -72
-8h = -112
h = 14 hours
Hence the correct option is b.
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Lucy needs to hire a host. Host A is offering his services for an initial $45 in addition to $16.25 per hour.
Hostess B is offering her services for an initial $51 in addition to $13.50 per hour. When will the two hosts
charge the same amount of money? If necessary, round your answer to the nearest tenth.
At approximately
hours, both hosts will charge about the same amount.
Alright!
To start this problem, we need to come up with equations that represent both of the Hosts' services
Key equation:
y = mx + b
x = the # of hours
Host A:
An initial $45 means this will be our constant
$16.25 per hour means it needs the variable x
Host A equation: y = 16.25x + 45
Host B:
An initial $51 means this will be our constant
$13.50 per hourmeans it needs the varible x
Host B equation : y = 13.50x + 51
To find the approximate number of hours (x) when both hosts charge the same amout, we must set their equations equal to each other.
16.25x + 45 = 13.50x + 51
Now, Solve!
16.25x = 13.50x + 51 - 45
16.25x = 13.50x + 6
16.25x - 13.50x = 6
2..75x = 6
now divide to find x!
x = 6 ÷ 2.75
x = 2.18
but we must round to the nearest tenth, so your final answer is
x = 2.2 hours!
Hope I helped! Comment if you have any questions about my solution :)
Gordon is going to buy fruit
for a smoothie. He wants
raspberries, R, that are $4 a
carton and strawberries, S,
that are $2 a carton. Write an
equation to represent all the
combinations of fruit if Tony
has $24 to spend.
Answer:
4R+2S=24
Step-by-step explanation:
Let the raspberry be represented as R
Let the strawberry be represented as S
Since a carton of raspberry is$4=4R
Since a carton of strawberry is $2=2S
And the sum of the two is 24
4R+2S=24
Since a specific value is not given
So the final answer is
4R+2S=24
Sierra simplified an expression as shown below: Given: x + 8 + 5(x - 4) Step 1: x + 8 + 5x - 20 Step 2: 5x + 8 - 20 Step 3: 5x - 12 In which step did Sierra make a mistake? What should she have done instead?
Answer:
In which step did Sierra make a mistake? Step 2.
What should she have done instead? add the x and the 5x
Step-by-step explanation:
she had the expression:
[tex]x + 8 + 5(x - 4)[/tex]
and then she multiplied the 5 by the parentheses (step 1):
[tex]x + 8 + 5x - 20[/tex]
no mistakes so far
then she has: [tex]5x + 8 - 20[/tex] (step 2) Here is the mistake, she forgot about the 'x' that she has at the beginning of the expression.
What you should have done is add the x and the 5x, so she must a 6x in the following step (correcting the mistake):
[tex]6x+8-20[/tex]
which gives us:
[tex]6x-12[/tex]
A cylinder has a base with a diameter of 6 cm, and a height of 12 cm. What is its volume?
Answer:
V≈339.29cm³
Step-by-step explanation:
Answer:
The volume of the cylinder is approximately [tex]\( 339.292 \)[/tex] cubic centimeters.
Explanation:
To find the volume [tex]\(V\)[/tex] of a cylinder, you can use the formula:
[tex]\[ V = \pi r^2 h \][/tex]
Where:
- [tex]\( \pi \)[/tex] (pi) is a mathematical constant approximately equal to 3.14159
- [tex]\( r \)[/tex] is the radius of the base of the cylinder
- [tex]\( h \)[/tex] is the height of the cylinder
Given that the diameter of the base is 6 cm, the radius [tex](\( r \))[/tex] is half of that, so [tex]\( r = \frac{6}{2} = 3 \)[/tex] cm.
The height [tex](\( h \))[/tex] of the cylinder is given as 12 cm.
Now, plug the values into the formula:
[tex]\[ V = \pi (3)^2 \times 12 \][/tex]
[tex]\[ V = 9\pi \times 12 \][/tex]
[tex]\[ V = 108\pi \][/tex]
Now, if you need a numerical approximation, you can multiply 108 by the value of [tex]\( \pi \)[/tex]:
[tex]\[ V \approx 108 \times 3.14159 \][/tex]
[tex]\[ V \approx 339.292 \][/tex]
What is the circumference of this circle, in centimeters? Use StartFraction 22 over 7 EndFraction for Pi.
A circle with diameter 21 centimeters.
Answer:
66 cm
Step-by-step explanation:
Diameter (d) = 21 cm
[tex]C = \pi \: d = \frac{22}{7} \times 21 = 22 \times 3 = 66 \: cm[/tex]
Answer:
66 cm
Step-by-step explanation: