Which is the slope of the line that passes through the points (2,10) and (5,8)?
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Lorraine writes the equation shown.
x^2 + y - 15 = 0
She wants to describe the equation using the term relation and the term function.
The equation represents:
A relation and a function
A relation but not a function
A function but not a relation
Neither a function or a relation
A function is a special relation whose every input corresponds with a single output. To be a function, each input is allowed to pair with only one output element.
[tex] x^2+y-15=0\\ Adding \; 15 \; subtracting \; x^2\; on\; both\; sides\\ \\ y=-x^2+15 [/tex]
For a parabola equation like above, there is no restriction in the domain. For every x value there is a unique y value.
Conclusion:
The equation [tex] x^2+y-15=0 [/tex] is BOTH a function and a relation!
Sandra make a pizza she puts mushrooms on 2/8 of the pizza she adds green peppers to 5/8 of the pizza which topping cover more of the pizza
Formulate a system of equations to represent this situation, with f = the amount of money that Frank spent and r = the amount of money that Rachel spent. Frank and Rachel spent a total of $15.75. If Rachel spends twice as much money as Frank, how much money did they each spend?
A)
B)
C)
D)
Rachel and Frank spends $10.5 and $5.25 respectively.
It is given to us that
f is the amount of money that Frank spent and
r is the amount of money that Rachel spent.
Frank and Rachel together spent a total of $15.75.
Rachel spends twice as compare to Frank
The equation that represents this situation:
1. f + r = $15.75
2. r = 2f
Substituting r = 2f in equation 1.
f + r = 15.75
f + 2f = 15.75
3f = 15.75
f = 5.25
Substituting f = 5.25 in equation 2.
r = 2f
r = 2(5.25)
r = 10.5
Thus, Rachel spends $10.5 and Frank spends $5.25.
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What is the average weight of the kittens in the shelter?
Average weight of the kitten in the shelter = Total weight of the kittens / Number of kittens.
What is Average?
An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.
Here,
Average weight of the kittens in the shelter = Total weight of all kitten/ Number of kittens.
Hence, the average weight of the kitten in the shelter = Total weight of all kitten/ Number of kittens.
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Write an expression that represents the difference of 32 and n, multiplied by 10
A recipe calls for quarter of a cup of sugar to make a chocolate mug brownie.how many mugs of brownies can be made with 1 3/4 cups of sugar
Answer:
7
Step-by-step explanation:
1 chocolate mug brownie can be made with quarter (0.25) cup of sugar.
In total we have [tex]1\frac{3}{4}=1.75[/tex] cups of sugar. So, divide 1.75 by 0.25 to get the number of mugs of brownies we can make:
[tex]\frac{1.75}{0.25}=7[/tex]
Hence, we can make 7 mugs of brownies with [tex]1\frac{3}{4}[/tex] cups of sugar.
What is the interquartile range of the data set? Enter the answer in the box. Key: 1|5 means 15
The interquartile range(IQR) of the data set is:
10
Step-by-step explanation:The data points according to the stem and leaf plot are as follows:
28 40 43 43 45 50 50
We know that the median of the data is the central tendency of the data and always lie in the middle of the data.
Here looking at the data we have:
Median= 43
Similarly the lower set of data is:
28 40 43
Hence, the first quartile or the lower quartile i.e. [tex]Q_1[/tex] is the median of the lower set of data.
Hence,
[tex]Q_1=40[/tex]
Similarly, the upper set of data is:
45 50 50
Hence, the upper quartile or the third quartile i.e. [tex]Q_3[/tex] is the median of the upper set of data.
Hence,
[tex]Q_3=50[/tex]
The interquartile range(IQR) is calculated as:
[tex]IQR=Q_3-Q_1\\\\IQR=50-40\\\\IQR=10[/tex]
A family charges a trip to the zoo on a credit card. The simple interest rate is 12%. The charges are paid after 3 months. What is the total amount paid for the trip? Round your answer to the nearest hundredth. tickets are 67.7, gas is 45.5, and food is 62.34
(15 points) Which fraction below represents a terminating decimal? A.3/8 B.2/3 C4/6. D.7/9
From the given fractions 3/8 is a terminating decimal.
What is a terminating decimal?
A decimal with an end digit is referred to as a terminating decimal. It is a decimal, which means that its digits are limited.
To solve the question,
Use options,
(A)
3/8
Divide 3 by 8, by mathematical property,
3.75
3.75 has an end digit which is 5,
Therefore, the given decimal is terminating decimal
In other option 2/3 and 4/6 gives repeating decimals 0.66666, similarly 7/9 is a repetitive decimal.
Hence, 3/8 is a terminating decimal.
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a rectangular room is 1.7 times as long as it is wide and it's perimeter is 31 meters. find the dimension of the room
The contents of Reggie’s backpack weigh 20ib. Eight tenths of the weight is from his textbooks. How much do his textbooks weigh?
The three tools the Federal Reserve uses to enact monetary policy are:
A.) Determine whom banks loan money to
B.)setting the reserve rare
C.)setting the interest rate changed to commercial banks on loans from federal reserve
D.)The buying and selling of treasury bonds and other goverment-backed securities
Answer:
Option:
B , C and D are the correct options.
Step-by-step explanation:
The goals of monetary policy are:
To promote maximum employment, stable price and moderate long term interest rate.
The three tools the Federal Reserve uses to enact monetary policy are:
B.)setting the reserve rate.
C.)setting the interest rate changed to commercial banks on loans from federal reserve.
D.)The buying and selling of treasury bonds and other government-backed securities.
A club raised 96% pf its goal for a charity. The club raised $1056. What was the goal?
help with homework. show work
The first pentagon is dilated to form the second pentagon. Drag and drop the answer to correctly complete the statement. The scale factor is . A pentagon with a side length of 4. An arrow points to a larger pentagon with a side length of 5
Final answer:
To find the scale factor for the dilation of a pentagon from a side length of 4 to a side length of 5, divide the new dimension by the original dimension, resulting in a scale factor of 1.25.
Explanation:
The question asks about finding the scale factor used to dilate a pentagon from a side length of 4 to a side length of 5. To find the scale factor, we compare the new dimension to the original dimension. In this case, the side length of the second pentagon is 5, and the side length of the first pentagon is 4. To find the scale factor, we divide the new dimension by the original dimension, which is 5/4. Hence, the scale factor is 1.25.
To clarify, the scale factor is determined by dividing the new dimension (5) by the original dimension (4), yielding 5/4. Therefore, the scale factor is indeed 1.25. This indicates that each side of the pentagon has been multiplied by 1.25 to achieve the dilation from a side length of 4 to a side length of 5.
Louise is walking 12 miles to raise funds for a local cause. If she has completed
3/4 of the distance, how many miles has she walked?
A. 6
B. 9
C. 8
D. 7
12 x 3/4 = 36/4 = 9
she has walked 9 miles
Final answer:
Louise has walked 9 miles after completing 3/4 of her 12-mile fundraising walk. Thus, option b is correct.
Explanation:
The student's question asks how many miles Louise has walked if she has completed 3/4 of her 12-mile fundraising walk. To find the distance walked, multiply the total distance by the fraction completed. So, Louise has walked 3/4 of 12 miles, which is calculated as follows:
Multiply 3/4 by 12.
3/4 * 12 = 9.
Thus, Louise has walked 9 miles.
Solve the system of equations
Can a remainder in a division problem equal the divisor
Hannah keeps her marbles in bags with four marbles in each bag she writes 3/4 to show the number of red marbles in each bag find another fraction to name the number of red marbles and two bags
Use the rule to write the first five terms of the pattern rule add 10 subtract 5 first term 11
Your class built a tepee to use in the school play. The tepee has a diameter of 16 feet and a height of 13.5 feet. What is the volume? Use 3.14 for pi. Round your answer to the nearest whole number. please help thank you:)
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Tracy is making blueberry muffins.she is using 4/4 cup of honey and 4/2 of floyr.Does Tracy use more honey or more flour?
The true statement is that Trace use more flour
How to determine the true statement ?The given parameters are:
Honey = 4/4 cupFlour = 4/2 cupsEvaluate the quotients
Honey = 1 cup
Flour = 2 cups
2 is greater than 1
Hence, the true statement is that Trace use more flour
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What is meant by the expression b1/3?
Juliette made the jewelry box shown below.The jewelry bow was shaped like a right rectangular prism
The price of bananas at a farm is $0.97 per pound. Which equation can be used to determine c, the total price of n pounds of bananas?
c = 0.97 − n
c = 0.97 + n
c = 0.97n
c equals 0.97 over n
Answer:
The correct answer is C
Step-by-step explanation:
what is 8.6E-10 in standard form
what is the value of the 9 in the number 60.394
A flower shop normally orders 35 2/7 pounds of roses each week. The shop is planing on ordering five times as many pound of roses the week of Valentine’s Day. How many pounds of roses should the order be?
176 3/7 pounds
174 pounds
175 5/7 pounds
174 5/7 pounds
Answer:
176 3/7
Step-by-step explanation: