Answer:
5 1/4
Step-by-step explanation:
Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
To find out how many projects Mrs. Kenny can complete with 7/8 pound of clay, we need to divide 7/8 by 1/6:
= (7/8) ÷ (1/6)
To divide fractions, we need to invert the second fraction and multiply:
= (7/8) × (6/1)
Simplifying the fractions, we get:
(7 × 6)/(8 × 1) = 42/8 = 5 1/4
Thus,
Mrs. Kenny can complete 5 projects with 1/4 of a pound of clay left over.
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Given f(x)=-3x+5f(x)=−3x+5, find f(-6)f(−6).
Answer:
36
Step-by-step explanation:
When you multiply -6 x -6 you get 36.
Hope this helps:)
Please Help me with the questions in the picture
Answer:
Dave and Anna:
1. Income highlight:
combined take home pay of $900/week
Total income: 4(900) - because 4 weeks in most months = $3600
-----------------------------
2. Expense highlights:
bi-weekly mortgage of $675
property taxes of $1800
Car expenses $160
Car insurance: $128
House insurance: $35
Saving for kids: $200
-------------
Expense calculations:
Mortgage bi-weekly = 675 x 2 = $1350/month
Property taxes = 1800/12 months/year = 150/month
everything else is already monthly
1350 + 150 + 160 + 128 + 35 + 200 = 2,023
---------------------------------------
income - expenses
$3600 - 2023 = $1,577 surplus
-----------------------------------------------------------------------------
Jacob:
Income highlights:
Canada Pension Plan $848/month
Old Age Security: $484/month
Total income: $1332
--------------------------
Expense highlights:
property tax: $3000/yr = $250/month
burial expenses: $100/month (for 6 more months)
golfing: $500/year = $41.67/month
bowling: $100/year = $8.33/month
Total expenses: 250 + 100 + 41.67 + 8.33 = 400
-----------------------------
Income - expenses:
1332 - 400 = $932 surplus
This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide
1.What is the area of one of the semicircles at either end of the track?
2.The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle?
3.What is the distance around one of the semicircles at either end of the soccer field?
4.What is the distance around the inner lane of the track (i.e., the lane closest to the soccer field)? PLEASE HELP <3
Answer:
Step-by-step explanation:
1. 1923.25
2.about 3846.5 yards
3.219.91
4.639.82
Answer: See below
Step-by-step explanation:
1) 1/2 x 3.14 x 35^2
1/2 x 3.14 x 1225
1/2 x 3846.5
A = 1923.25 yd^2
2) (3.14)r^2
(3.14) (35)^2
3846.50 yd^2
3) P = d + (3.14)r^2
P = 70 + (3.14) (35)
P = 70 + 109.90
P = 179.90 yd
4) P = 2( l + w)
P = 2 (70 + 100)
P = 2 (170)
P = 340
Perimeter of the square minus the perimeter of the circle.
340 - 179.90 = 160.10 yd
Two fair, six-sided dice are rolled. What is the probability that the resulting total is even or greater than 10?
Answer:
Step-by-step explanation:
Since there are a total of 6 x 6 = 36 outcomes, then the probability that the sum will be greater than 10 is 3/36 = 1/12.
The probability that the resulting total is even or greater than 10 is 7/12.
Given that, two fair, six-sided dice are rolled.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Here, sample space of two dice is
S={(1,1),(1,2),(1,3),(1,4),(1,5),(1,6), (2,1),(2,2),(2,3),(2,4),(2,5),(2,6), (3,1),(3,2),(3,3),(3,4),(3,5),(3,6), (4,1),(4,2),(4,3),(4,4),(4,5),(4,6), (5,1),(5,2),(5,3),(5,4),(5,5),(5,6), (6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Number of favorable outcomes = 18
Total number of outcomes = 36
Probability of getting the total is even = 18/36
= 1/2
Number of favorable outcomes = 3
Probability of getting the total is greater than 10 = 3/36
= 1/12
So, probability is 1/2 + 1/12
= 6/12 + 1/12
= 7/12
Therefore, the probability that the resulting total is even or greater than 10 is 7/12.
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Solve for x.
B
37.
11
C
A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?
Answer:
Step-by-step explanation:
39²=1521
80²=6400
39²+80²=1521+6400=7921
87²=7569
7921≠7569
so it is not aright angled triangle.
Answer:
si
Step-by-ste
I need math help fast plzzz
10. The figure is a rectangle. What is x?
28
Answer:
152
Step-by-step explanation:
180 minus 28 is 152 degrees
The lengths, in minutes, of the movies currently showing at a movie theater are shown in the data set. Create a histogram that represents the data. Drag the top of each bar to the correct height.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the required lengths are not given.
I will use the following data set to answer the question.
[tex]Dataset: 35, 51, 39, 42, 68, 62, 32, 59[/tex]
First, is to determine the range of the dataset
[tex]Range = Highest - Least[/tex]
[tex]Range = 68 - 32[/tex]
[tex]Range = 36[/tex]
Next, we will make use of 4 classes. So, we divide range by 10 to get the number of class. 10 represents the interval
[tex]Class= Range/10[/tex]
[tex]Class = 36/10[/tex]
[tex]Class = 3.6[/tex]
[tex]Class \approx 4[/tex]
So, we use 4 classes
Plot the frequency distribution table as follows:
[tex]\begin{array}{ccc}{Intervals} & {Observations} & {Frequency} & {31-40} & {32,35,39} & {3} & {41-50} & {42} & {1} & {51-60} & {51,59} & {2} & {61-70} & {62,68} & {2}\ \end{array}[/tex]
See attachment for histogram
Shiva has 1.95 pounds of meat. She uses 0.13 pound of meat to make one hamburger. How many hamburgers can Shiva make with the meat she has?
Answer:
Shiva can make 15 hamburgers
Step-by-step explanation:
1.95 /0.13= 15
1 hamburger 0.13
Check
0.13 x 15 = 1.95
Answer:
[tex] \bf \huge \: 15[/tex]
Step-by-step explanation:
Given that :Shiva has 1.95 pounds of meat.She uses 0.13 pound of meat to make one hamburger.to find :How many hamburgers can Shiva make with the meat she has ?explanation :⟼ total meat = 1•95 pounds
⟼ use meat to make a hamburger = 0•13 pounds
⟼ how many hamburgers shiva make with the total meat = total meat / use meat to make a hamburger
⟼ how many hamburgers shiva make with the total meat = 1•95 / 0•13
⟼ how many hamburgers shiva make with the total meat = 15 hamburgers .
∴ shiva make 15 hamburgers with 1•95 pounds meat.
verification :let take shiva make 15 hamburgers with 1•95 pounds meat.
⟼ 0•13 × 15 = 1•95
⟼ 1•95 = 1•95
hence verified ☑️A house is worth $156,000
in 2015. In 2017, it is
worth $192,000. What is
the rate of change?
Answer:
$18,000
Step-by-step explanation:
Difference in the years is 192000-156000= 36000
To find rate of change, divide the difference by amount of years in difference.
36000/2017-2015
36000/2
Hence, $18000 per year
Hope it helps!
You are in your backyard with your pets. In one area, you count 108 legs. You count 41
animals. You have a combination of bunnies and chickens. How many of each type of animal do
you have?
Write a system of equations (make sure to define your variables first!), and then solve
this problem. Then, solve in a different way.
Answer:
Bunnies= 13 Chickens=28
Step-by-step explanation:
Let's put
x = bunnies------4 legs
y = chickens-----2 legs
x + y = 41----------------x= 41-y
4x+ 2y = 108
replace in 2nd equation
4(41 - y) + 2y = 108
164 - 4y + 2y = 108
2y = 56
y = 56/2= 28
x = 41 - 28= 13
Plz 50 points im desperate
A show pony weighs at least 900 pounds. After a recent weigh in, the owner of a show pony amended the diet of his pony, increasing the animal's caloric intake, with the hope that the pony would gain weight to be shown in a few months. The data shown in the table and scatter plot below represents the pony's additional daily caloric intake and recorded weight gain (in pounds) of the show pony over the last ten weeks.
Additional Daily Calories Consumed Weight Gained
(in pounds)
1,500 3
1,575 7
1,650 3
1,725 4
1,800 8
1,875 9
1,950 13
2,025 7
2,100 17
2,175 15
Part A: Use the data shown in the table and scatter plot to create an approximate equation for the line of best fit.
Part B: In complete sentences, describe the show pony's weight gain in terms of the units used in the data.
Part C: According to the equation for the best fit line for the data, approximately how much weight would you expect the pony to gain in a week if its additional daily caloric intake for that week is 2,300 calories?
An approximate equation for the line of best fit is y-hat = 0.018x - 24.5111.
How to explain the equation?A linear regression equation for the line of best fit would be y-hat = 0.018x - 24.5111 where
y-hat is the predicted value for the recorded weight gain (in pounds)
x is the additional daily caloric intake.
b) The pony's additional calorie intake increases, the weight gain also increases in pounds
c) Set x equal to 2300 and solve for y-hat:
y-hat = 0.018x - 24.5111
y-hat = 0.018(2300) - 24.5111
y-hat = 41.4 - 24.5111
y-hat = 16.8889
Therefore, the predicted value for the weight gain based on an additional 2300 calorie intake is 16.9 pounds.
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Jason has saved 41% of what he needs to buy a 73$ skateboard . Jason found out 50% of 70 is the same things as 70 divided by .50= 140. So he has more than enough to purchase the skateboard. Did he solve correctly
Answer:
No, Jason did not solve correctly
Step-by-step explanation:
Jason has saved 41% of what he needs to buy a 73$ skateboard.
Jason found out 50% of 70 is the same things as 70 divided by .50= 140. So he has more than enough to purchase the skateboard. Did he solve correctly
Let compare both statements
50% of 70 = 70 ÷ 0.5 (140)
50% × 70 = 140
50/100 × 70 = 140
35 ≠ 140
JASON DID NOT SOLVE CORRECTLY
This is because the left-hand side used the operation of multiplication while the right-hand side used the operation of division.
Answer:
its actually 1.4 ...
2 4/8 - 1 3/4 pls help i got 1 min
Answer:
1 1/8
Step-by-step explanation:
I can’t explain look at picture
Answer:
x = 12.48
y = 13.22
Step-by-step explanation
Im not sure if its correct
10^2 + b^2 = 16^2
100 + b^2 = 256
b^2 = √156
b = 12.48
b= 12 ( If needed to round to the nearest whole number)
a^2 + 15^2 = 20^2
a^2 + 225 = 400
a^2 = √175
a = 13.22
a = 13 ( If needed to round to nearest whole number)
What is the volume of this rectangular prism?
Answer:
2/4 (simplified: 1/2)
Step-by-step explanation:
The formula for volume of rectangular prism is length · width ·
height.
In other words, multiply all of the sides together.
2 · 1 · 1/4 = 2/4.
Therefore, the volume of this rectangular prism is 2/4.
Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by
5, and then divides by -10. He then subtracts 2. What number does he find at the end of
the game?
A. -7
B. -3.6
C. -4.6
D. -5
find the circumference of the pizza nearest to to the nearest whole number if the radius is 7 in
Answer:
69
Step-by-step explanation:
420+911÷360 no scope=69
hurry pleaseeeeeeeeeeeeeeeeeeeeeee
Answer:
option 1
Step-by-step explanation:
Solve for x:
4x/5=20
HELP PLEASEEE How can you break up the figure into familiar shapes to determine the area?
A figure is broken into a triangle and rectangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.
Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by 5 ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by One-third ft triangle and a 5 ft by One-third ft rectangle.
Break up the figure into a 2 ft by 1One-third ft triangle and a 5 ft by One-third ft rectangle.
Answer:
A) Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.
Step-by-step explanation:
hope it helps...
have a great day!!
Answer:
Your answer would be A: Break up the figure into a 2 ft by 3 and two-thirds ft triangle and a 5 ft by One-third ft rectangle.
Step-by-step explanation:
hii please help i’ll give brainliest
Answer:
(-5,-3)
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
find two rational numbers between 3 and 5
Answer:
4 is a rational number
Step-by-step explanation:
rational numbers are numbers that can be divided by 2 and itself
Answer:4, 3.6
Step-by-step explanation: there are multiple answers to this questions.
BRAINLIEST NO LINKS OR YOU WILL BE REPORTED!!!!!
Answer:
180
Step-by-step explanation:
Answer:
117 ft³
Step-by-step explanation:
The tent is composed of a cuboid and a triangular prism
V ( cuboid) = 6 × 8 × 2 = 96 ft³
V(prism) = Ah ( A is the area of triangle and h is length )
= [tex]\frac{1}{2}[/tex] × 6 × (5.5 - 2) × 2
= 3 × 3.5 × 2
= 21 ft³
Total volume = 96 + 21 = 117 ft³
For the equation y=-6/5x+3 enter the equation of a perpendicular line
Answer:
y = 5/6x + 3
Step-by-step explanation:
perpendicular line= have negative reciprocal slope
the slope of y = - 6/5x + 3 is - 6/5, and the negative reciprocal slope of - 6/5 is 5/6.
Determine the domain and range:
Answer:
Option B is correct.
Step-by-step explanation:
Recall that the domain is the set of (unique) inputs and the range is the set of outputs (which do not have to be unique).
The set of inputs of the given relation is {-1, 9, -10, 1}, and this set is also found in Option B. The set out outputs is {7, 2, 6, -6|, which is in Option B.
Find the distance between the points.
(5.10),(5,4)
The distance is
Answer: 6??
Step-by-step explanation: Cause they are right next to each other and if u want me to be more specific its 6 units down :)
Answer:
The distance will be √(x2-x1)^2+(y2-y1)^2
=√(5-5)^2+(10-4)^2
=√(0)^2+(6)^2
=√(6)^2
=6 units
I need the answer to these parts. The last is correct or incorrect
Answer:
Step-by-step explanation:
40% of the regular price
subtracting it from
10% off each
(not sure of the last one)
Kaley bought 5 boxes of pencils that contained 14 pencils each. She sharpened 20 of those pencils. How many pencils did Kaley buy? How many pencils are unsharpened?