Need help what is the answer and what is the equation
A pyramid is placed inside a prism the pyramid has the same base area b as the prism but half the height of the prism the height of the prism is 30 ft which expression gives the volume of the pyramid ?
15b
10b
5b
30b
Answer:
5b
Step-by-step explanation:
Given,
The base area of the prism = base area of the pyramid = b,
Also, the height of the prism = 30 ft,
While, the height of the pyramid = [tex]\frac{\text{height of prism}}{2}[/tex]
[tex]=\frac{30}{2}=15\text{ ft}[/tex]
Now, the volume of the pyramid = [tex]\frac{1}{3}[/tex] × base area × height
[tex]=\frac{1}{3}\times b\times 15[/tex]
[tex]=\frac{15b}{3}[/tex]
= 5b ft²
Hence, THIRD option is correct.
Buying a new car is usually the second most expensive purchase many consumers make, after the purchase of their home. True or False
T-1
—— = 12. What is t
2
7+a
-4= ——. What is a
5
Kayla has $500 in her account, and she spends $40 a week on food. If she falls below $30 in her account, she must pay a penalty. What is an inequality that can represent this situation?
Final answer:
The inequality that represents this situation is: 500 - 40w < 30, where w represents the number of weeks that have passed.
Explanation:
The situation can be represented by the inequality:
500 - 40w < 30
where w represents the number of weeks that have passed.
This inequality states that the amount of money remaining in Kayla's account (500 - 40w) must be less than $30 for her to have to pay a penalty. If Kayla's account falls below $30, she would have to pay a penalty because she does not have enough money to cover her regular expenses.
For example, if we substitute w = 10 into the inequality, we get 500 - (40 × 10) < 30, which simplifies to 100 < 30. Since 100 is not less than 30, Kayla would not have to pay a penalty.
8 1/10 as a decimal
What is the definition of when each input has exactly one output in a relation
write a related subtraction fact for 7 + 3 = 10
Jacob is using this rule.
''Start with a number, divide it by 2 and then add 3. Write down the result.''
a) What is the result when Jacob starts with 8?
b) What number did Jacob start with when the result is 5?
graph the following linear equation using slope-intercept form. y=2x+1
If 772 is divided by 9, what is the remainder? A) 4 B) 6 C) 7 D) 8
Write the number equal to 2 tens 15 ones
The number that will be equal to 2 tens 15 ones is 35.
How to identify the place value of a digit in a number?The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so on. The tens mean multiplied by 10. The tenth means the tenth part of that digit which is that digit divided by 10
We are given multiple number names and asked to add them.
We will call d as ones digit, c as tens digit (it get multiplied by 10), b as hundreds digit etc.
We call e as digit at 10th place (division by 10), f as digit at hundredth place and so on.
To find this problem, it will be easier to split the sentences into multiple parts like this;
1. "2 tens" mean 2 x 10 =20
2. "15 ones" mean 15 x 1= 15
Then, if we add them up it will be;
20+15= 35
The answer to this problem would be 35
Therefore, the number that will be equal to 2 tens 15 ones is 35.
Learn more about place value here:
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A toy company makes wooden blocks. A carton holds 85 blocks. How many blocks can hold 19 cartons hold
a box of chalk contains 10 pieces. how many pieces of chalk are in 40 boxes
Find the difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712
Final answer:
The difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712 is 47.2208.
Explanation:
The difference between the product and the sum can be found by first calculating the product of 26.22 and 3.09 and then calculating the sum of 3.507, 2.08, 11.5, and 16.712. Once both of these values are calculated, subtract the sum from the product to find the difference.
To calculate the product of 26.22 and 3.09, you would multiply these two numbers:
26.22 × 3.09 = 81.0198
To calculate the sum of 3.507, 2.08, 11.5, and 16.712, you would add these numbers together:
3.507 + 2.08 + 11.5 + 16.712 = 33.799
Finally, to find the difference, subtract the sum from the product:
81.0198 - 33.799 = 47.2208
The difference between the product of 26.22 and 3.09 and the sum of 3.507, 2.08, 11.5, and 16.712 is 47.2208.
A band to played 3 concerts and earned about a total of $321.00.the band earned about the same amount for each concert estimate how much the band and each night.
Which expression is equivalent to the following?
21x – 15
A. 3(2x)
B. 3x(7x – 5)
C. 3(7x – 5)
D. 3(7x – 15)
On a cross-country vacation, Maria filled her 14-gallon gas tank eleven times. Which is the best estimate of how many gallons of gas she put into the tank altogether. ;-;
The answer choices : 75 gallons, 150 gallons, 200 gallons, and 225 gallons.
Plz help XD
Change 3 radians to degree measures
π radians =180∘
1 radian = tex] \frac{180°}{ \pi} [/tex]π
3 radians = [tex] \frac{540°}{ \pi} [/tex]
What is the smallest positive integer N such that the value 70 + 30(N) is not a prime number?
Part 1:
The length of a rectangle is 4/3 its width, w.
Which expression represents the perimeter of the rectangle?
Answer Choices:
a. 4/3w+2w
b. 4(4/3w+w)
c. 4×4/3w
d. 2(4/3w+w)
Part 2:
The perimeter of the rectangle from Part 1 is 28 inches.
What is the area of the rectangle, in square inches?
perimeter = 2 times the length plus 2 times the width
which can also be written as 2(4/3w+w) so the answer is D
part 2
28 = 2(4/3w+w) when you do the calculation w = 6
length = 4/3 *6 = 8
area = 6 * 8 =48 square inches
Please Help!!!!!
Is the square root of 2 over 8 rational or irrational?
80 girls and boys have planned for a movie. They are in a ratio of 6 girls to 2 boys . How many girls are there?
A cold wave hit Chicago when the temperature hits 62°F during the cold wave the temperature dropped 2° every hour how many hours was it before the temperature was below 40°F
For this problem, an important thing to note is how the question says that 'the temperature dropped', meaning that it went down.
This means that the 2 degrees is actually negative.
Then you multiply the change in degrees by hours past:
(−2)×6=−12
Final Answer:
−12∘F
Jan began with 5/6 pound of modeling clay she used 1/5 of the clay to make decorative magnets. She divided the remaining clay into 8 equal portions what is weight of the clay in each portion?
an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle at the rate of 2 seats in 11 minutes. Write a proportion relating the number of seats s to the number of minutes m. At this rate, how long will it take to add 16 seats? 19 seats?
Susan and terry run a day care center Since they use susans house it was agreed that her share is twice as Terrys if they earn 225 how much is susans share?
To determine Susan's share of the daycare earnings, the simple equation T + 2T = 225 was solved to give Terry's share as $75. Susan's share, being double Terry's, is therefore $150.
The total earnings of Susan and Terry together: 2x (Terry's share) + Terry's share = 225
Given that the total earnings are 225:
2x (Terry's share) + Terry's share = 225
3x (Terry's share) = 225
Terry's share = 225/3 = 75
Susan's share = 2 x 75 = 150
Therefore, Susan's share is 150.
1/8, 0.35,0.2 in order from least to greatest
Write an expression with four terms. Include at least one term with an exponent, one term with a coefficient of 5, one term with three factors, and one constant. Make two of the terms like terms.
An expression satisfying all the conditions specified is [tex]5x^2 + 5xy + 3xy + 7[/tex]
Here's an expression with four terms that meets all the requirements :
[tex]5x^2 + 5xy + 3xy + 7[/tex]
1. Term with an exponent: [tex]\( 5x^2 \)[/tex] (The exponent is 2)
2. Term with a coefficient of 5: [tex]\( 5xy \)[/tex]
3. Term with three factors: [tex]5xy[/tex] (The factors are 5, x, and y)
4. Constant term: 7
Like terms:[tex]\( 5xy \)\ and\ \( 3xy \)[/tex]
So the expression [tex]\( 5x^2 + 5xy + 3xy + 7 \)[/tex] includes all the specified requirements.
1/2and 1 two fractions with a sum