Answer:
[tex]V=400\ mm^3[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BL[/tex]
where
B is the area of the triangular base
L is the length of the triangular prism (also is called the height of the prism) is the perpendicular distance between the triangular bases
we have
[tex]B=25\ mm^2[/tex]
[tex]L=16\ mm[/tex]
substitute
[tex]V=25(16)[/tex]
[tex]V=400\ mm^3[/tex]
Answer:
The volume of the triangular prism is [tex]400mm^3[/tex]
Explanation :
Area of the triangle = 25 sqmm
Height of the triangle prism = 16mm
Suppose height of the prism is h and breadth is b and length is l
Area= A
Since the formula of volume of prism is
Volume= Area ×height of the prism
= A × h
Substituting the values
= 25×16
=400mm3
The volume of the triangular prism is [tex]400mm^3[/tex]
What information can be used to compare linear
relationships? Explain why.
Answer:
Step-by-step explanation:
The slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).
Answer:
Information from dependent and independent variables.
Step-by-step explanation:
Information from dependent and independent variables and how they are related to each other. A relationship is linear only is every ordered pair is related by the same number, which is represented by the slope.
11,12,15 please I am confuuuuused
Answer:
11.x>50
12.y is greater than or equal to 8
15. z<8
Step-by-step explanation:
Determine the value of y in proportion 6 y - 10 / 5 + 7 y equals 1/2
Answer:
The value of y is [tex]\frac{5}{26}[/tex] .
Step-by-step explanation:
Given expression as :
6 y - [tex]\frac{10}{5}[/tex] + 7 y = [tex]\frac{1}{2}[/tex]
or, 6 y - 2 + 7 y = [tex]\frac{1}{2}[/tex]
Or, 13 y = [tex]\frac{1}{2}[/tex] + 2
Or, 13 y = [tex]\frac{5}{2}[/tex]
So, y = [tex]\frac{5}{2\times 13}[/tex]
Or, y = [tex]\frac{5}{26}[/tex]
Hence the value of y is [tex]\frac{5}{26}[/tex] . Answer
The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is the width of the rectangle. Can the perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units?
No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.
No. If the length is 24 units and the width is 11 units, the perimeter would be P = 24 + 22 = 66 units, not 60.
Yes. If the perimeter is 60 units and the width is 11 units, then P + W is greater than 48.
Yes. If the length is 24 units and the width is 11 units, then P = 2L + 2W = 60.
Answer:
No. if the length is 24 units and the width is 11 units, the perimeter would be p=48+22=70
Step-by-step explanation:
w=11 and l=24
P=2l+2w
P=2(24)+2(11)
P=48+22
P=70
The perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units; No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.
What is perimeter?Its the sum of length of the sides used to made the given figure.
Given that the perimeter of a rectangle can be found using the equation P = 2L + 2W.
where P is the perimeter, L is the length, and W is the width of the rectangle.
Thus, w=11 and l=24
P=2l+2w
P=2(24)+2(11)
P=48+22
P=70
Hence, The perimeter of the rectangle be 60 units when its width is 11 units and its length is 24 units;
No. If the length is 24 units and the width is 11 units, the perimeter would be P = 48 + 22 = 70 units, not 60.
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Select the correct answer.
What is the product of 3
-
2
0
0
Answer:
I think it's supposed to be 200-3=? from what it looks like... the answer would be 197 if that is the case.
Step-by-step explanation:
Answer:
3-200= -197
Step-by-step explanation:
you can use a calculator, but you can also subtract 200 by 3 which equals 197. then add a negative sign to the left of the number :
-197Betty has $15 to buy plants for her greenhouse. Each plant costs $6. How
many plants can she buy? Do not include units in your answer.
Answer:
2
Step-by-step explanation:
If 15 dollars is what she has. you take 6 for one plant away from that 15 to become 9. Then she can buy one more. 2 plants now for 12 dollars. since she only has 3 left, she can't buy another.
Answer:
the answer to your qestoin is 2
Simplify this expression.
m13 × m6 =
Answer: 78m^2
Step-by-step explanation:
multiply coefficients and variables
m13 x m6 = 78m^2
Answer:
78m
Step-by-step explanation:
Since the variables are alike, you would just multiply them as you would do a normal multiplication problem! I used to have so much trouble with this omg. Anyway, 13x6=78 so the answer would be 78m
Select all of the ratios that are equivalent to 4 to 7
Answer:
4/7= 12/21- mutiply the fraction by 3
(4)(3)/(7/(3)= 12/21
4/7= 16/28 - mutiply by 4
4/7= 20/35- mutiply by 5
Equivalent ratios are those that when reduced yield the same value. Any ratios that when reduced become 4/7 are equivalent to the ratio 4 to 7. An example is 8 to 14.
Explanation:In mathematics, two ratios are equivalent if the fractions they represent are equal. For your question, you are asked to find all ratios that are equivalent to the ratio 4 to 7. Essentially, you need to find ratios where when reduced will become 4/7 or we can upscale the values while maintaining proportions. For instance, if we multiply both numbers in the ratio 4 to 7 by 2, we get the ratio 8 to 14. These two ratios are equivalent because 4/7 = 8/14.
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the ratio to staff to guests at the gala was 3 to 5 . there was a total of576 oeople in the ball room .how many guests were at the gala
lauren planted 20 flowers, but her neighbors dog ate 7 of them. what percent of the flowers did the dog eat
In the lab, Teresa has two solutions that contain alcohol and is mixing them with each other. She uses 4 times as much
Solution A as Solution B. Solution A is 17% alcohol and Solution B is 12% alcohol. How many milliliters of Solution B does
she use, if the resulting
mixture has 560 milliliters of pure alcohol?
Number of milliliters of Solution B:
Help
By setting up a system of equations to represent the mixing of solutions and the amount of alcohol present, we find that Teresa uses approximately 80 milliliters of Solution B.
Explanation:In the lab, Teresa is mixing two solutions, A and B, with Solution A used 4 times as much as Solution B. Solution A consists of 17% alcohol and Solution B consists of 12% alcohol. In the question, we know that the resulting mixture contains 560 milliliters of pure alcohol. To find out how many milliliters of Solution B we need, we can set up a system of equations based on the given situation:
The total volume of Solution A and B is x + 4x = 5x The amount of alcohol comes from: 0.17*4x (from Solution A) + 0.12*x (from Solution B) = 560ml
From these two equations, we can solve for x, which represents the amount of Solution B. This gives us x ~= 80 milliliters. This means Teresa uses approximately 80 milliliters of Solution B.
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Final answer:
To find the volume of Solution B that Teresa uses, we set up an equation using the given alcohol percentages and the total alcohol volume in the mixture. Solving the equation, we find that Teresa uses 700 milliliters of Solution B.
Explanation:
To solve this problem, we can use the concept of proportions and weighted averages to determine the quantity of Solution B. Let's denote the volume of Solution B as VB and therefore, the volume of Solution A is 4VB because we are given that Teresa uses 4 times as much Solution A as Solution B.
According to the alcohol percentages, we can write the following equations:
Solution A (17% alcohol): 0.17 × 4VB
Solution B (12% alcohol): 0.12 × VB
The total volume of alcohol in the resulting mixture is 560 milliliters, which is the sum of alcohol from both solutions:
0.17 × 4VB + 0.12 × VB = 560
Combining like terms, we obtain a single equation:
0.68VB + 0.12VB = 560
This simplifies to:
0.80VB = 560
Now, solving for VB:
VB = 560 / 0.80
After calculating, we get:
VB = 700 milliliters
Hence, Teresa uses 700 milliliters of Solution B.
Select the correct answer.
Which of the following correctly matches the banking term with the appropriate definition?
A. A deposit is the total amount of money you have in the bank.
B. A withdrawal is an amount of money you take out of the bank.
C.
Your balance is the money you put into the bank.
D.
All of the above
Reset
Next
Answer:
B. A withdrawal is an amount of money you take out of the bank.
Mr. Rivona bought 5 pounds of
bananas for $0.45 per pound
How much did she spend in all
Answer:
2.25
Step-by-step explanation:
5*.45=2.25
twice the difference of a number and 4 is less than the sum of the number and five. Solve please
Answer:
[tex] - 2x + 4 < x + 5 \\ - 2x - x < 5 + 4 \\ - 3x < 9 \\ x = - 3[/tex]
hope this helps you
After solving the inequality, the value obtained will be equal to x < 9.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the given information in the question,
The given statement is,
Twice, the difference between a number and 4 is less than the sum of the number and five.
In mathematical form, it can be written as:
Let the unknown number be x.
2x - 4 < x + 5
Let's solve the equation for x.
2x - x < 5 + 4
x < 9
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945 divided by 6.6
[tex]945 \div 6.6[/tex]
Answer:
143.1818
Step-by-step explanation:
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The table shows the number of desks in each classroom
at three different schools. Which expressions represent the total number of desks? Select all that apply.
Thanks**!
Answer:
Hahahahahaha how we Answer without any options
Answer: a, c, and d
Step-by-step explanation:
for anybody that needs it now ^^
it says the total number of all the desks from all classrooms and schools
a. 2 x (12 x 35) + 15 x 20) -- correct
b. 2 x (12 + 12 + 15) -- incorrect
c. (2 x 12) x 25 + 15 x 20 -- correct
d. 15 x 20 + (2 x 12) x 25 -- incorrect
why is b incorrect?
b says 2 times 12 + 12 + 15 --- 2 x (12 + 12 + 15) only shows two times the number of classrooms -- not the total number of desks from each classroom in each school (i cant english im sorry)
What is the median of $9.84, $11.75, $12.50, $12.98, $13.88
Answer: $12.50
Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.
To find the median of these numbers, let's start by writing our data set from least to greatest.
$9.84, $11.75, $12.50, $12.98, $13.88
So the median will be the middle number or $12.50.
The median is the middle number of a data set.
$9.84, $11.75, $12.50, $12.98, $13.88
If their isn't a perfect middle number then you take 2 middle numbers and find the number that is between them.
________
Best Regards,
Wolfyy :)
(30 POINTS) see image and evaluate
Answer:
1/400
Step-by-step explanation:
i put it in the calculator and got 1/400
Answer:
I believe it's 1/400 or 0.0025
Factor the expression X2+4X +4
Answer:
2(3+2x)
Step-by-step explanation:
Answer:
(X + 2)^2
Step-by-step explanation:
Factor using the perfect square rule
Hope this helps.
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The expression 4x^2-px-7 leaves a remainder of -2 when divided by (x-3) find the value of p
The expression 4x^2-px-7 leaves a remainder of -2 when divided by (x-3). Then the value of p is 10.33
Solution:Given the expression is [tex]4x^2 - px - 7[/tex] leaves a remainder of -2 when divided by (x-3)
To find: value of p
x - 3 = 0
x = 3
Let [tex]g(x) = 4x^2 - px - 7[/tex]
Hence we can say,
g(3) = -2
Substitute x = 3 in g(x) we get,
[tex]g(3) = 4(3)^2 - p(3) - 7\\\\-2 = 4(3)^2 - p(3) - 7[/tex]
On solving we get,
-2 = 4(9) - 3p - 7
-2 = 36 - 3p - 7
3p = 36 - 7 + 2
3p = 31
[tex]p = \frac{31}{3} = 10.33[/tex]
Thus the value of p is 10.33
The circumference of a circle is 44 inches. What is the area? (Use 22 for pie.)
please help wit all the questions!! leave explanation below thanks!
Answer:
4. The relationship is proportional because, for every 12 students, there is one chaperone and when you multiply 12 by the number of chaperones you get the same numbers that the table shows.
1. the relationship is proportional.
45/1= 45
45/2 = 90
45/3 = 135
45/3 = 180
2. the constant of 2 is 10. the constant of 3 is 2.
the relationship between x and y is that x divided by y equals the constant.
4. x divided by y equals the constant, or
x÷y=c(constant)
hope that helps and sorry for taking so long
describe the location of the point having the following coordinates
Answer:
Step-by-step explanation:
What are the coordinates????
HOBBIES Tawa wants to increase her rock collection by a power of three this year and
then increase it again by a power of two next year. If she has 2 rocks now, how many
rocks will she have after the second year?
Answer:
64
Step-by-step explanation:
Multiply 2 by itself three times, which gives you 8. Multiply 8 by itself twice, which gives you 64.
Tawa will multiply her initial 2 rocks by 3 in the first year, giving her 6 rocks.
In the second year, she multiplies the 6 rocks by 2, which results in a total of 12 rocks after two years.
Explanation:To solve how many rocks Tawa will have after two years, we follow two steps of exponential growth.
Initially, she has 2 rocks.
After the first year, her collection will increase by a power of three, which means we will multiply 2 by 3 to find the new total:
2 rocks × 3 = 6 rocks.
After the second year, the number of rocks is going to increase by a power of two.
We then take the new total from the first year and multiply it by 2:
6 rocks × 2 = 12 rocks.
So after increasing her collection by a power of three in the first year, and then by a power of two in the second year, Tawa will have a total of 12 rocks
realize the following operations in order for the response to be in a+bi:
[tex] \frac{4 + 2i}{1 - 3i} [/tex]
Answer:
(7i-1)/5
Step-by-step explanation:
(4+2i)/(1-3i)
the opposite of 1-3i is 1+3i
multiply that
[(4+2i)(1+3i)]/[(1-3i)(1+3i)]
=[(4+2i+12i+6i^2)]/[(1-3i+3i-9i^2)]
=[(4+14i+6(-1))]/[(1-9(-1))]
=(4+14i-6)/(1+9)
=(-2+14i)/10
factor out the 2,
[-2(1-7i)]/10
-(1-7i)/5
(-1+7i)/5
(7i-1)/5
Remember that i^2=-1, because sqrt(-1)*sqrt(-1)=-1.
6x − y + z = −3
4x − 3z = −13
2y + 5z = 15
Find the solutions?
Answer:
The solution of the equation are x = - 1 , y = 0 and z = 3
Step-by-step explanation:
Given three linear equation as :
6 x - y + z = - 3 ......A
4 x - 3 z = - 13 ......B
2 y + 5 z = 15 ......C
Solving eq A and C
I.e 2× (6 x - y + z ) = -3 ×2
or, 12 x - 2 y + 2 z = - 6
So, ( 12 x - 2 y + 2 z ) + ( 2 y + 5 z) = - 6 + 15
Or, 12 x + 7 z = 9 ......D
Solving eq B and D
I.e 3 × ( 4 x - 3 z ) = - 13 × 3
or, 12 x - 9 z = - 39
So, ( 12 x + 7 z ) - ( 12 x - 9 z ) = 9 + 39
or, 16 z = 48
∴ z = [tex]\frac{48}{16}[/tex]
i.e z = 3
put the value of z in eq D
So, 12 x + 7×3 = 9
Or, 12 x = 9 - 21
or, 12 x = - 12
∴ x = - [tex]\frac{12}{12}[/tex]
I.e x = - 1
Now, Put The value of z in eq C
or, 2 y + 5 z = 15
or, 2 y + 5 × 3 = 15
Or, 2 y = 15 - 15
or, 2 y = 0
∴ y = 0
Hence The solution of the equation are x = - 1 , y = 0 and z = 3 Answer
Denita has 4 coins. If Denita flips all the coins at once, how many outcomes are in the sample space?
Answer:
16
Step-by-step explanation:
The Roasted Bean charges
$17,00 per pound for Fair Trade Organic Mexican
coffee and $15.00 per pound for Fair Trade Organic
Peruvian coffee. How much of each type should be
used to make a 28-lb blend that sells for $16.00 per
pound?
Answer:
14 pounds of each type should be used to make a 28 pounds blend that sells for $16 per pound.
Step-by-step explanation:
The Roasted Bean charges $17 per pound for Fair Trade Organic Mexican coffee and $15 per pound for Fair Trade Organic Peruvian coffee.
Let x pounds of Mexican coffee and y pounds of Peruvian coffee are mixed to prepare a 28 pounds blend that sells for $16 per pound.
So, x + y = 28 ........... (1)
Again, [tex]\frac{17x + 15y}{x + y} = 16[/tex]
⇒ 17x + 15y = 16x + 16y
⇒ x = y .......... (2)
Now, from equation (1) we have 2x = 28
⇒ x = 14 pounds
And y = 14 pounds. (Answer)
A salesperson earns 4% commission on furnace sales. What is the commission that the salesperson earns on the sale of $33,000 worth have furnaces? Suppose the salesperson doubles his sales of furnaces. What would be true about the commission? Explain without using any calculations.
The commission that the salesperson earns on the sale is $1320
The commission would be double when he doubles his sales of furnaces
Step-by-step explanation:
The given is:
A salesperson earns 4% commission on furnace salesThe furnace sales have worth $33,000We need to find the commission that the salesperson earns
∵ The salesperson earns 4% commission on furnaces sale
∵ The furnaces sale have worth $33,000
- Find the 4% of 33,000
∴ The salesperson earns 4% of 33,000
∵ 4% × 33,000 = [tex]\frac{4}{100}[/tex] × 33,000 = 1320
∴ The salesperson earns $1320
The commission that the salesperson earns on the sale is $1320
∵ The salesperson doubles his sales of furnaces
∴ The commission would be double
That because the commission is a constant percent from his sales of furnaces, so if the amount of his sales of furnaces doubles , then his commission also doubles, it is a direct proportion relationship
Commission = constant (4%) × amount of furnaces sale
The commission would be double when he doubles his sales of furnaces
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Tyler is going on a hiking trip . At the end of the first day he has 5,250 feet left to climb . He plans to climb 500 feet each day
Answer:
12 days
Step-by-step explanation:
At the end of the first day he has the distance left to climb = 5,250 feet
He plans to climb the distance each day = 500 feet
Number of days to complete his trip = [tex]\frac{5,250}{500}[/tex]
= 10.5 ≈ 11 days
He has already climbed for one day, so he will finish his trip in 1 + 11 = 12 days.