The height of the prism that's depicted in the water tank will be 8m.
How to calculate the height of the prism?The area of the base of the triangular prism will be calculated thus:
= 1/2 × 4 × 9
= 18m²
The volume of water removed from the rectangular tank will be:
= (6 × 6) × 4
= 144m³
Therefore, the height will be calculated thus:
18 × h = 144
18h = 144
h = 144/18
h = 8m
Therefore, the height is 8m.
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1. The cost of a notebook is twice the cost of a pen. Write a linear equation in two variables to represent this statement.
(Take the cost of a notebook to be ₹ x and that of a pen to be ₹ y)
Answer:
x = 2y
Taking the cost of a notebook to be ₹ x and that of a pen to be ₹ y
hope that helps...
Help me please!!!!!!
Answer:
72
Step-by-step explanation:
Just add up 45.3+26.7
45.3 + 26.7 = 72
Answer:
y= 72°
Step-by-step explanation:
If you add the two degrees you get 72.
45.3+26.7=y
45+26=71
.3+.7=1
71+1=72
Hope this helped.
A brainliest is always appreciated.
Answer the following questions Question one Are the following rational, irrational or neither? Please HELP ASAP
Answer:
1.1) Rational
1.2) Rational
1.3) Irrational
1.4) Rational
1.5) Rational
1.6) Irrational
Step-by-step explanation:
Rational means it can be represented as a fraction where the numerator and denominator are whole numbers and vice versa for irrationals.
Answer:
-4 is not
√9 is a rational number.
Pi is an irrational number.
Can someone please help me with this? I just need to know how it works and what the answer is.
Answer:
3
Step-by-step explanation:
Since you need to find the y value when x = -1, go to -1 on the x axis, and find where the green line crosses. The green line goes through the point (-1,3), or one box to the left and three boxes up, so the y value is 3.
Hopefully this helps- let me know if you have any questions!
Answer:Find the point in which the x = 1, and the y point meets.
When x = 1, y = 2
2 is your answer for y
hope this helps
Step-by-step explanation:
ASAP!!! GOD BLESS!! MUCH lOVE
Answer:
6 meters
Step-by-step explanation:
24 ÷ 4 = 6 metersI hope this helps!
Part A
Colin uses 2/3 cup of vegetable oil in each cake that he makes for his father’s bakery. If Colin makes 8 cakes, how much oil did Colin use in all?
5 1/3 cups
7 1/3 cups
8 2/3 cups
16 1/3 cups
Part B
Colin makes an additional 2 cakes. How much oil did Colin use in all?
6 2/3 cups
6 1/3 cups
5 2/3 cups
6 cups
Answer:
Part A: 5 1/3
Part B: 6 2/3
Step-by-step explanation:
Part A:
8 x 2/3 = 16/3
16/3 = 5 1/3
Part B:
10 x 2/3 = 20/3
20/3 = 6 2/3
Help me pleaseeeeeeee
Answer:
72°
Step-by-step explanation:
just add the two smaller angles to get the whole angle
45.3 + 26.7 = 72.0
Answer:
y= 72°
Step-by-step explanation:
If you add the two degrees you get 72.
45.3+26.7=y
45+26=71
.3+.7=1
71+1=72
Hope this helped.
A brainliest is always appreciated.
Dolbear's law states the relationship between the rate at which Snowy Tree Crickets chirp and the air temperature of their environment. The formula is T=50+n-40/4, where T is a temperature in degrees Fahrenheit and N is a number of chirps per minute. If T=57°F, find the number of chirps per minute.
Answer:
Number of chirps per minute = 68
Step-by-step explanation:
Given:
T = 50+ (N - 40)/4
where,
T is a temperature in degrees Fahrenheit
N is a number of chirps per minute
Find n when T = 57°F
T = 50 + (N - 40)/4
57 = 50 + (N - 40)/4
57 - 50 = (N - 40)/4
7 = (N - 40)/4
Multiply both sides by 4
7 × 4 = (N - 40)/4 × 4
28 = N - 40
28 + 40 = N
68 = N
N = 68
Number of chirps per minute = 68
A rectangle has a side length of 3 feet and an area of 24 square feet. A larger similar rectangle has a corresponding side length of 9 feet. Determine the area of the larger rectangle.
Answer: The answer would be 214
If 1% of a number equals 4, find 2% of that number.
If 7x+5=2x+9,then x=?
Answer:
5/4
Step-by-step explanation:
7x+5=2x+9
minus the 2x from the 7
5x+5=9
minue the 5 from the 9
5x=4
divide the 4 from the 5x
4/5=x
Which of the following most closely rounds to the number 1
Answer:
1.1???????
Step-by-step explanation:
Answer:Its most likely to be D
Step-by-step explanation:
Simplify the expression. Write your answer as a power (-5)^7/(-5)^3
(-5)₇ / (-5)³ = (-5)⁷⁻³ = (-5)⁴
Help ASAP. This is my 6th time making this question with nobody helping.
Answer:
m = 2.4 and b = 14.8
Step-by-step explanation:
In slope-intercept form, all equations follow the formula y = mx + b, in which equations are parallel as long as they have the same slope, represented by the variable m. All that the b variable does is change the y-intercept. Knowing this, in order to find a parallel equation to y = 2.4x + 5.2 that intercepts the point (-2, 10), the only variable that can change is the b variable. The first step is to plus -2 into the x variable. This will grant you y = 2.4(-2) or y = -4.8, which will then allow you to find what the b variable should be by subtracting -4.8 from 10. This will grant you b = 14.8, and since you know the slope must stay the same, the final answers are m = 2.4 and b = 14.8.
An office supply store purchased a case of binders for $600. The profit (P) to be made on the binders is defined by the function
P(b) - 8.50b - 600, where b is the number of binders sold.
Part A What is the range of the function if the domain is {10, 45, 72, 100)?
Part B What do the domain and range represent in this situation?
Part C What is the minimum number of binders that the store needs to sell in order to make a profit (P >0)? Show or explain your work.
Part D What is the minimum profit the store can make on the sale of these binders? Show or explain your work.
Answer:
Part A
Domain = input values
Range = output values
Therefore, if the domain is {10, 45, 72, 100} then input those values into the function:
P(10) = 8.50(10) - 600 = -515
P(45) = 8.50(45) - 600 = -217.5
P(72) = 8.50(72) - 600 = 12
P(100) = 8.50(100) - 600 = 250
So the range is {-515, -217.5, 12, 250}
Part B
The domain is the number of binders sold
The range is the profit in dollars
Part C
Set the function to >0:
⇒ P(b) > 0
⇒ 8.50b - 600 > 0
add 600 to both sides:
⇒ 8.50b > 600
divide both sides by 8.50:
⇒ b > 70.58823529...
Therefore, the minimum number of binders the store needs to sell in order to make a profit is 71.
Part D
If the store sells a minimum of 71 binders, then substitute b = 71 into the function and solve to find the minimum profit:
⇒ P(71) = 8.50(71) - 600
⇒ P(71) = 603.5 - 600
⇒ P(71) = 3.5
Therefore, the store will make a minimum of $3.50 profit if it sells at least 71 binders.
However, if the store sells less than 71 binders, it will make a loss.
What is 30% expressed as a decimal? Fraction?
Answer:
0.3
Step-by-step explanation:
Fraction: 30/100 or 3/10
Decimal: 0.3
how do you write the year two-thousand-fourteen as a Roman numeral?
Answer:
MMXIV
Step-by-step explanation:
The two-thousand-fourteen is written in a roman numeral is MMXIV.
The following information regarding roman numerals is:
It is the symbols that are applied in the system in order of numerical notation that depend upon the ancient Roman system.The symbols that are I,V,X,L,C,D,M denotes 1, 5, 10, 50, 100, 500, and 1,000.So we can conclude that the two-thousand-fourteen is written in a roman numeral is MMXIV.
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A. 2
B. -2
C. 0
D. -2
Answer:
d. -2 <= y <= infinity
Step-by-step explanation:
The graph starts at -2 with a solid (colored in) point on the -2. So there are no y's less than -2 on the graph.
The graph continues to go up. Yes, it goes to the right, but we are looking at the y's. There is an arrow at the right end of the graph which means it continues to go up forever.
-2 <= y <= infinity
A train leaves Boston at 10:20 AM and arrives in Stamford at 1:00 PM. Find the distance between the stations if the average speed of the train is 60 mph.
Answer:
160 miles away
Step-by-step explanation:
I am BIG brain
Answer:
160
Step-by-step explantion
The train leaves at 10:20 AM and arrives at 1:00 PM.
It takes 2 hours and 40 for the train to arrive at Stamford.
1 hour = 60 miles
SO
60+60+60*2/3=160
I need help this due in soon!
Answer:
x=132
Step-by-step explanation:
Z=39° (alternate angles)
X=39+93(exterior angle of a triangle=2 interior opposite angles)
x=132
Which expression means “y more than seven”?
A
7y
B
7 - y
C
y - 7
D
y + 7
(PLEASE HELP!)
Answer:
D
Step-by-step explanation:
y more than seven = 7 + y, using associative property, 7 + y = y + 7
The correct expression is,
⇒ y + 7
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The algebraic expression is,
⇒ “y more than seven”
Now, We can formulate;
The mathematical expression is,
⇒ y + 7
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Robbie was attempting to calculate the solution to the problem below. Are his steps of the solution correct?
A car of the same type and make it 3 1/2 years old.
C. Estimate the value of the car
hi could somebody help me without guessing please...
Answer:
120.
Step-by-step explanation:
hope this helps
In a certain town there were 247 robberies last year. This year the number of robberies has gone down 30%. How many robberies were there this year, to the nearest whole number?
Answer:
173
Step-by-step explanation:
10%x247=24.7
24.7x3=74.1
247-74=173
Jada surveyed all the 7th and 8th graders at her school abouth whether they had pets. Complete the missing entries in this two way table :)
Based on the information provided, the missing entries are 48, 107, 209, 116, and 325.
What information is missing?The missing information includes:
Number of 7th graders without a pet.Number of 8th graders with a pet.Total students with a pet.Total students without a pet.Total of students surveyed.Number of 7th graders without a pet:
This can be found by subtracting the total of students with a pet from the total 7th graders.
150 - 102 = 48
Number of 8th graders with a pet:
Subtract the total of students without a pet from the total 8th graders.
175 - 68 = 107
Total of students with a pet:
Add students with a pet:
102 + 107 = 209
Total of students without a pet:
Add students without a pet:
48 + 68 = 116
Total of students surveyed:
Add the total of students:
209 + 116 = 325
Note: This question is incomplete because the chart is missing; below I attach it.
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Given y=f(x), when f(x) = -3 on the graph of y=√f(x)
a. is undefined
b. intersects y=f(x) on the x-axis
c. is above the graph of y=f(x)
d. intersects the graph of y=f(x)
e. is below the graph of y=f(x)
Question in picture.
Answer:
4
Step-by-step explanation:
dividing 48 by 12, gives you 4.
dividing 16 by 4, gives you 4
HOPE THIS HELPS
Answer:
x=4
Step-by-step explanation:
Solve for x
by simplifying both sides of the equation, then isolating the variable.
what is 10÷ 6.8 and when you get the answer what is the answer when you round the answer to the nearest tenth
Answer:
Step-by-step explanation:
10/6.8 = 1.47
To the nearest tenth it would be 1.5
Kala bought two types of cheese at a deli. She bought 0. 50 pound of American cheese and 1. 25 pounds of Swiss cheese. The bar diagram and equation below represent Kala’s purchase, where p represents the total number of pounds of cheese she bought. A bar diagram. The top bar contains p. The bottom bars contain 0. 50 and 1. 25. P = 0. 50 1. 25 What is the total number of pounds of cheese Kala bought? 0. 75 1. 20 1. 30 1. 75.
The total number of pounds of cheese Kala bought is 1.75.
What is the Bar diagram?Bar graph (bar chart) is a graph that represents the categorical data using rectangular bars.
The bar graph shows the comparison between discrete categories.
Given
Kala bought two types of cheese at a deli.
She bought 0.50 pound of American cheese and 1.25 pounds of Swiss cheese.
The bar diagram and equation below represent Kala’s purchase, where p represents the total number of pounds of cheese she bought.
A bar diagram. The top bar contains p.
The bottom bars contain 0.50 and 1.25.
p = 0.50 + 1.25
The total number of pounds of cheese Kala bought is;
= 0.50 + 1.25
= 1.75
Hence, the total number of pounds of cheese Kala bought is 1.75.
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