Answer:
height is 5 units
Step-by-step explanation:
We are required to determine the height of a triangle that has an area of 30 square units and a base measuring 12 units.
The formula for the area of a triangle is given as;
[tex]Area=\frac{1}{2}*base*height[/tex]
We plug in the given values and solve for the height;
[tex]30=\frac{1}{2}*12*height\\\\30=6*height\\height=5[/tex]
Answer:
5 units^2
Step-by-step explanation:
a restaurant uses 60 cups of mushrooms to make 12 gallons of mushroom soup. jesse wants to make 3 gallons of soup using this recipe. how many cups of mushrooms should he use?
Answer:
15
Step-by-step explanation:
Write a proportion:
60 cups / 12 gallons = x cups / 3 gallons
Cross multiply:
12x = 180
Divide:
x = 15
He should use 15 cups.
Jesse should use 15 cups of mushrooms to make 3 gallons of mushroom soup, based on the restaurant's recipe. Devon will be making 37.5 liters of soup for the party of 100 guests.
Explanation:To solve Jesse's question about how many cups of mushrooms he should use to make 3 gallons of mushroom soup, we need to find the proportion between the amount used in the restaurant's recipe and the desired amount for Jesse's smaller batch.
The restaurant uses 60 cups of mushrooms to make 12 gallons of soup. To find out how many cups are needed for 1 gallon, we divide the number of cups by the number of gallons:
60 cups / 12 gallons = 5 cups per gallon
Jesse wants to make 3 gallons of soup. Multiplying the amount needed for one gallon by 3 gives us the answer:
5 cups/gallon × 3 gallons = 15 cups of mushrooms.
Devon, on the other hand, is preparing soup for a party. Calculating the total amount for 100 guests using 375 milliliters per person, we get:
375 milliliters/guest × 100 guests = 37500 milliliters.
Since 1 liter is equivalent to 1000 milliliters, we can convert the milliliters to liters:
37500 milliliters / 1000 = 37.5 liters of soup for 100 guests.
1. What would be the best graph or display to represent your Home Library Statistics data? Why?
number of pages in 15 books: 96, 155, 160, 160, 184, 192, 197, 208, 208, 213, 226, 240, 256, 272, 309
Answer:
A bar graph
Step-by-step explanation:
A bar chart will give you the visual understanding of your data.It will clearly show the book with most number of pages and compare the books according to the number of pages.You can formart using different colors for each bar.
If 5 bags cost 255.35 how much would 2 bags cost
[tex]255.35 \div 5 = 51.07 [/tex]
[tex]51.07 \times 2 = 102.14[/tex]
Answer:
102.14
Step-by-step explanation:
based on the function F(x)=x^4-3x^2-1 and the graph of G(x) below, which of the following statements is true?
Answer:
Step-by-step explanation:
A function has a root only if cuts the x axis .
If it cuts once it means it has one real root, if twice then two roots and so on .
Here in the graph of G(x) shown ,it never crosses the x axis so we can say that there is no real root of the given function G(x).
It means the option A which states G(x) has zero roots is correct.
SUBSTITUTION HELP just 4.g)
r=-3.2p+q^2
Answer:
r=25.6
Step-by-step explanation:
[tex]p=-4.8\\q=3.2\\\\r=-3.2p+q^2\\r=-3.2(-4.8)+(3.2)^2\\r=15.36+10.24\\r=25.6[/tex]
The area of the triangle below is __sq units ?
The picture is above !
The correct answer is C. you multiply the 16x5
Answer:B) 40 sq units
Step-by-step explanation:
use formula [tex]\frac{1}{2}[/tex] base × height
= (0.50)(16) × (5)
= 40 sq units
Find the area of the figure
Answer:
215 yd²Step-by-step explanation:
It's a parallelogram.
The formula of an area of a parallelogram:
[tex]A=bh[/tex]
b - base
h - height
We have
[tex]b=17\dfrac{1}{5}yd=17\dfrac{1\cdot2}{5\cdot2}yd=17\dfrac{2}{10}yd=17.2yd\\\\h=12\dfrac{1}{2}yd=12.5yd[/tex]
Substitute:
[tex]A=(17.2)(12.5)=215\ yd^2[/tex]
A sequence is defined as t1=1 and
t(n+1)=tn+3. which is the nth term of the
sequence ?
A) 3n-2
B) 4n-3
C) n^2-n+1
D) 5n-4
E) 6n-5
I need this for a test :(( in t1, the 1 is a subscript and in t(n+1) the (n+1) is a subscript.
The recursive rule tells you that
[tex]t_2=t_1+3[/tex]
[tex]t_3=t_2+3=(t_1+3)+3=t_1+2\cdot3[/tex]
[tex]t_4=t_3+3=(t_1+2\cdot3)+3=t_1+3\cdot3[/tex]
and so on, with the general rule
[tex]t_n=t_1+(n-1)\cdot3[/tex]
Then with [tex]t_1=1[/tex], you have
[tex]t_n=1+3(n-1)\implies\boxed{t_n=3n-2}[/tex]
Which of the following statements is TRUE?
*please see diagram
Answer: D. AE and BD intersect at point C.
Answer: A AND B
Step-by-step explanation:
Adult panda weights are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds. The largest pandas weigh over 250 pounds. Using the empirical rule, approximately what percent of the adult pandas weigh over 250 pounds?
16%
32%
47.5%
95%
Answer:
16%
Step-by-step explanation:
THERE
Answer: 16%
Step-by-step explanation:
Given: Mean : [tex]\mu = 200\text{ pounds}[/tex]
Standard deviation : [tex]\sigma=50\text{ pounds}[/tex]
The formula for z score is given by :-
[tex]z=\dfrac{x-\mu}{\sigma}[/tex]
Now, for x=250
[tex]z=\dfrac{250-200}{50}=1[/tex]
The P-value [tex]= P(z>1)=1-P(z<1)[/tex]
[tex]=1-0.8413=0.1587\approx16\%[/tex]
Hence, the percent of the adult pandas weigh over 250 pounds is about 16%.
Choose the correct answers.
Bill Campbell gets a student rate for medical insurance of $25.00 a month. There is a $250 deductible.
He recently received treatment for a covered condition. The bill was $2,350.00
Bill's insurance company provided payment of 80% of the bill less the deductible.
What was the insurance company's payment? $
What was Bill's share of the charge? $
The insurance company's payment is $1,680.00 and Bill's share of the charge is $670.00.
Explanation:To calculate the insurance company's payment, we first need to determine the amount after the deductible is applied. Since the bill was $2,350.00 and the deductible is $250, we subtract the deductible from the bill: $2,350.00 - $250 = $2,100.00. The insurance company covers 80% of this amount, so we multiply $2,100.00 by 80%: $2,100.00 x 80% = $1,680.00. Therefore, the insurance company's payment is $1,680.00.
Bill's share of the charge is calculated by subtracting the insurance company's payment from the total bill: $2,350.00 - $1,680.00 = $670.00. Therefore, Bill's share of the charge is $670.00.
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2. For f(x) = 2(x+3) - 5, name the type of function and describe each of the
three transformations from the parent function f(x) = x
Answer:
The function is a linear function
The function is translated 3 units to the left,then stretched vertically
by factor 2, then translated 5 units down
Step-by-step explanation:
* Lets revise some transformation
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
- If the function f(x) stretched vertically, then g(x) = k · f(x), where
k > 1 (multiplying each of its y-coordinates by k)
- If the function f(x) compressed vertically, then g(x) = k · f(x), where
0 < k < 1 (multiplying each of its y-coordinates by k)
* Now lets solve the problem
∵ f(x) = 2(x + 3) - 5
- The greatest power of the function is 1 (degree of the function)
∴ f(x) is linear function
- The parent function f(x) = x
∵ f(x) changed to f(x + 3)
∴ f(x) translated 3 units to the left
# Each x-coordinate of the points on the function subtracted by 3
∵ f(x + 3) changed to 2f(x + 3)
∵ 2 > 1
∴ f(x + 3) stretched vertically by factor 2 (k = 2)
# Each y-coordinate of the points on the function multiplied by 2
∵ 2f(x + 3) changed to 2f(x + 3) - 5
∴ 2f(x + 3) translated 5 units down
# Each y-coordinate of the points on the function subtracted by 5
FIND THE AREA OF THE RHOMBUS!!!! PLEASE HELP!!!!
A. 80in^2
B. 64 in^2
C. 128 in^2
D. 160 in^2
Answer:
64 in² (Answer B)
Step-by-step explanation:
Note that this rhombus is made up of a large upper triangle and a large lower triangle. Each of these two triangles has base 2(8 in) (or 16 in) and height 4 in.
The area-of-a-triangle formula is
A = (1/2)(base)(height), which here is
A = (1/2)(16 in)(4 in) = 32 in².
Now double that, because we have an upper triangle of area 32 in² and a lower triangle of the same area 32 in². So the total area of the rhombus is 64 in²
a statue on honor Benjamin Franklin will be placed outside the entrance to the Liberty Bell Exhibit Hall in Philadelphia the designers that is the side that is smaller similar version will be placed on a table inside the building the dimensions of the life-size statue will be four times those of the smaller statue. planners expect to need 1.5 pints of paint to coat the small statue they also know that the small statue will weight 14 pounds. how much paint will be needed to paint the life sized statue
Answer:
Part a) The paint needed will be [tex]24\ pints[/tex]
Part b) The weight of the life sized statue is [tex]896\ lb[/tex]
Step-by-step explanation:
step 1
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z----> the scale factor
x----> surface area of the life sized statue
y----> surface area of the smaller statue
[tex]z^{2}=\frac{x}{y}[/tex]
we have
[tex]z=4[/tex]
substitute
[tex]4^{2}=\frac{x}{y}[/tex]
[tex]x=16y[/tex]
The surface area of the life sized statue is 16 times the surface area of the smaller statue
therefore
The paint needed will be
[tex]16(1.5)=24\ pints[/tex]
step 2
Find the weight of the life sized statue
we know that
If two figures are similar, then the ratio of its weights (or volumes) is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x----> weight of the life sized statue
y----> weight of the smaller statue
[tex]z^{3}=\frac{x}{y}[/tex]
we have
[tex]z=4[/tex]
[tex]y=14\ lb[/tex]
substitute
[tex]4^{3}=\frac{x}{14}[/tex]
[tex]x=64(14)=896\ lb[/tex]
The life-size statue will need 96 pints of paint since its volume is 64 times larger than the smaller statue.
Step 1: Determine the volume ratio between the life-size statue and the smaller statue.
Since the dimensions of the life-size statue are four times those of the smaller statue, the volume ratio is [tex]\(4^3 = 64\)[/tex]. This means the life-size statue will have 64 times the volume of the smaller statue.
Step 2: Calculate the amount of paint needed for the life-size statue.
If 1.5 pints of paint are needed for the smaller statue, then the life-size statue will require [tex]\(1.5 \times 64 = 96\)[/tex] pints of paint.
Step 3: Write the final answer.
Therefore, 96 pints of paint will be needed to paint the life-sized statue.
You are doing yardwork with a friend. You can finish mowing the lawn in 57 minutes, while your friend can do the same amount of work in 54 minutes. How long will it take to complete the job if you work together? Round your answer to the nearest whole number.
Answer:
28 minutes
Step-by-step explanation:
Speed = distance / time
Your speed is 1 lawn / 57 minutes. Your friend's speed is 1 lawn / 54 minutes. Working together, your combined speed is:
1/57 + 1/54
So the time it takes working together is:
Speed = distance / time
1/57 + 1/54 = 1 / t
t = 27.7 minutes
Rounded to the nearest whole number, it takes 28 minutes.
If two coins are flipped, what is the probability that both coins will not land on heads?
0%
25%
50%
75%
consider the exponential function f(x)=250(1.03)^x which models Shawnda's savings account where x represents the number of years since the money was invested
part a: is the money in the account growing or decaying?
part b: what is the rate of growth or decay?
part c: what does the value 250 represent?
The answers are:
Part a: The money in the account is growing.
Part b: The rate of growth is 3%
Part c: The value 250 represents the starting amount of money.
Why?To solve the problem, first, we must remember the structure of the exponential growth or decay function:
[tex]P(t)=StartAmount*(rate)^{t}[/tex]
Where,
- Start Amount, is the starting value or amount
- Rate, is the rate of growth or decay, we must consider the following conditions:
If the rate is greater than 1, the rate is a growth rate.
If the rate is lower than 1, the rate is a decay rate.
- t, is the time elapsed.
Therefore, we are given the following function:
[tex]f(x)=250(1.03)^{x}[/tex]
From the function we can see that:
- Since the rate is 1.03 and it's greater than 1, the money in the account is growing.
- From the function we already know that the rate of growth is equal to 1.03
The rate is calculated by the following formula:
[tex]Rate=1+percent(growth)[/tex]
- The value 250 represents the starting amount of money.
Hence, the answers are:
Part a: The money in the account is growing.
Part b: The rate of growth is 3%
Part c: The value 250 represents the starting amount of money.
Have a nice day!
The exponent represents
The x can never be negative so it is growing. The base is 1.03, then the rate will be 1.03. 250 represents the principal value that was invested initially.What is an exponent?An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
Given
The exponential function [tex]\rm f(x)=250(1.03)^x[/tex]
where x is the number of years.
Part A: The money in the account growing or decaying.
If the power increases the value of the function increases.Since the x can never be negative so it is growing.
Part B: The rate of growth or decay.
The rate of growth is the base of the exponent.
Since the base is 1.03, then the rate will be 1.03.
Part C: The value 250 represents.
250 represents the principal value that was invested initially.
A. The x can never be negative so it is growing.
B. The base is 1.03, then the rate will be 1.03.
C. 250 represents the principal value that was invested initially.
More about the exponent link is given below.
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Can someone help me with this?
Answer:
y=0
Step-by-step explanation:
For the x axis, the value of y is zero
y=0
these are many question in one because I only have 31 points.
what is 1/20 as a decimal and a percentage
what 1/10 as a decimal and a percentage
what 12 1/2% as a decimal and a percentage
what is 0.2 as a fraction and a percentage
what is 25% as a decimal and fraction
what is 30% decimal and fraction
what is 1/3 as a decimal and percentage
what's is 0.375 as a fraction and percentage
what is 0.4 as a fraction and percentage
what is 1/2 as a decimal and percentage
what is 0.6 as a fraction and percentage
what is 0.625 as a fraction and percentage
what is 66 1/2% as a decimal and fraction
sorry for the many questions. its my homework so pls leave the work. I will be back in 30 minutes to check up on this. thx to those of you who answered this
Answer:
what is 1/20 as a decimal and a percentage: 0.05 and 5%
what 1/10 as a decimal and a percentage : 0,1 and 10%
what 12 1/2% as a decimal and a percentage: 12.5% it's already as a percentage, as a fraction 1/8
what is 0.2 as a fraction and a percentage: 1/5 and 20%
what is 25% as a decimal and fraction: 0.25 and 1/4
what is 30% decimal and fraction : 0.3 and 3/10
what is 1/3 as a decimal and percentage : 0.33 and 33%
what's is 0.375 as a fraction and percentage : 3/8 and 37.5%
what is 0.4 as a fraction and percentage : 4/10 and 40%
what is 1/2 as a decimal and percentage : 0.5 and 50%
what is 0.6 as a fraction and percentage : 3/5 and 60%
what is 0.625 as a fraction and percentage: 5/8 and 62.5%
what is 66 1/2% as a decimal and fraction: 0.665 and 665/1000, 133/200
Step-by-step explanation:
These are basically 3 problems, so I won't explain two items for every one of your 13 similar questions. Here's the explanation for every 3 cases asked in your questions... and the answers. All you have to do is replace the numbers in the explanations for the ones in each other question asking the same thing.
To express a fraction in percentage, you simply have to put the fraction with a denominator of 100..., for example:
[tex]\frac{1}{20} * \frac{5}{5} = \frac{5}{100}[/tex]
So, 1/20 is 5%.
[tex]\frac{1}{2} * \frac{50}{50} = \frac{50}{100}[/tex]
And 1/2 is 50%
To express a percentage as a fraction, you take that percentage and place it over a denominator of 100 and you simplify, like this:
[tex]\frac{12.5}{100} = \frac{1}{8}[/tex]
[tex]\frac{30}{100} = \frac{3}{10}[/tex]
To convert a decimal number to a fraction, the easiest way is to express this number up to the 2nd decimal... then take that as a %.
Examples:
0.2 you can say 0.2 = 0.20... so it's 20 hundredths, or 20 per 100... so 20%
0.375, it's already expressed in more than hundredths, so you simply move the dot 2 spots right to get 37.5%
what is 1/20 as a decimal and a percentage: 5% (see above)
what 1/10 as a decimal and a percentage : 10% (save as above)
what 12 1/2% as a decimal and a percentage: 12.5%, it's already as a percentage, if you mean as a fraction... 1/8 (see above)
what is 0.2 as a fraction and a percentage: 1/5 and 20% (see above)
what is 25% as a decimal and fraction: 0.25 and 1/4
what is 30% decimal and fraction : 0.3 and 3/10
what is 1/3 as a decimal and percentage : 0.33 and 33%
what's is 0.375 as a fraction and percentage : 3/8 and 37.5%
what is 0.4 as a fraction and percentage : 4/10 and 40%
what is 1/2 as a decimal and percentage : 0.5 and 50%
what is 0.6 as a fraction and percentage : 3/5 and 60%
what is 0.625 as a fraction and percentage: 5/8 and 62.5%
what is 66 1/2% as a decimal and fraction: 0.665 and 665/1000, 133/200
A vending machine sells chips at $0.55 and candy at $0.75. Last month the vending machine yielded $170.00 with the sale of 260 items
Let x be the number of chips sold and y the number of candies. How many packages of chips were purchased last month
Answer:
125 packages of chips.
Step-by-step explanation:
A vending machine sells chips at $0.55
And candy at $0.75
Last month, the vending machine yielded $170.00 with the sale of 260 items.
Let x be the number of chips sold and y be the number of candies sold.
$0.55x + $0.75y = $170.00
x + y = 260
Solving the above simultaneous equations by substitution;
x = 260 - y
Then,
0.55(260 - y) + 0.75y = 170
143 - 0.55y + 0.75y = 170
0.2y = 170 - 143 = 27
y = [tex]\frac{27}{0.2}[/tex] = 135
x = 260 - 135 = 125
So there were 125 packages of chips sold.
What is the length of leg s of the triangle below ?
Answer:
4
Step-by-step explanation:
In a 45-45-90 triangle, the length of the hypotenuse is √2 times the legs.
s√2 = 4√2
s = 4
Each leg is 4 units long.
Each length of the side of the triangle is 4 units long.
We have given that side is s and hypotenuse is 4root2.
and also the angle is 45-45-90degrees.
We have to determine the length of the sides
In a 45-45-90 triangle, the length of the hypotenuse is √2 times the legs.
What is the 45°−45°−90° triangle?45°−45°−90° triangle is a commonly encountered right triangle whose sides are in the proportion 1:1:√2 .
s√2 = 4√2
s = 4
Therefore each length of the side of the triangle is 4 units long.
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For the inverse variation equation p = 8/V, what is the value of V when p = 4?
Answer:
V=2
Step-by-step explanation:
p=8/v
substitute p=4,
4=8/v
multiply both sides by v,
4(v)=8(v)/v
4v=8
divide 8 by 4,
v=2
Answer: choice c. 2 edge 2023
Step-by-step explanation:
Is there an outlier in the data set on the line plot?
An outlier is a value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.
Yes or No
please help fast!
Answer:
yeeeeeeeeeeeeeeeees
i need help on this question
Ryan has a school bag. He has 6 books, of which 2 are math books. What is the probability that a randomly selected book will be a math book?
1/3
2 of the books are math books and there are 6 books. This is 2/6. Now, divide both sides of the fraction by 2 to simplify it. This gives you a final answer of 1/3.
Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
If train B, travels 8/7 as fast as train A. Find the speed of each train
Let [tex]v[/tex] be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are
[tex]\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}[/tex]
where [tex]s_A,\ s_B[/tex] are the positions of trains A and B respectively, and t is the time in hours.
The two trains meet if and only if [tex]s_A=s_B[/tex], and we know that this happens after two hours, i.e. at [tex]t=2[/tex]
[tex]\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450[/tex]
Solving this equation for v we have
[tex]2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105[/tex]
So, train A is travelling at 105 km/h. This implies that train B travels at
[tex]105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}[/tex]
train A travels at 210 km/h and train B travels at 240 km/h.
The student's question involves finding the speeds of two trains moving towards each other when certain conditions are provided. We know that the two trains are 450 km apart and meet after 2 hours. Train B travels at 8/7 the speed of train A.
Let's denote the speed of train A as v km/h. Then, the speed of train B would be 8/7 * v km/h. Since they meet after 2 hours, we can add their distances to equal the total distance between them.
Speed of train A: v km/h
Speed of train B: 8/7 × v km/h
Total distance: 450 km
Time to meet: 2 hours
The total distance both trains cover can be expressed as:
(Speed of train A + Speed of train B) × Time = (v + 8/7 × v) × 2 hours
Since the sum of the two distances covered by the trains is the initial distance between them which is 450 km, we get:
(1 + 8/7)v * 2 = 450 km
We simplify this equation to find the value of v. The equation becomes:
15/7 v × 2 = 450 km
v = (450 × 7) / (15 × 2)
v = 210 km/h
Now, we find the speed of train B by multiplying the speed of train A by 8/7:
Speed of train B = 8/7 × 210 km/h = 240 km/h
Therefore, train A travels at 210 km/h and train B travels at 240 km/h.
What is the domain of the function f(x) = (x + 3)2? A) all integers B) all real numbers C) all integers greater than zero D) all real numbers greater than zero
Answer:
Option B is correct
Step-by-step explanation:
We have function f(x)=(x+3)2
The domain of the function is the set of values for which the function is defined and real.
In our case if x belong to all real numbers the function will be real and defined as given in Option B as function has no undefined points.
All other options are subset of real numbers.
So, option B is correct.
What familiar theorem is Fermat’s Last Theorem an extension of?
progress prior to 1980. if n is an integer greater than two (n > 2)
Final answer:
Fermat's Last Theorem is an extension of the Pythagorean Theorem, with the latter being a special case where n=2 in the general form of equations proposed by Fermat.
Explanation:
The familiar theorem that Fermat's Last Theorem is an extension of is the Pythagorean Theorem. The Pythagorean Theorem, which states that in a right-angled triangle the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²), can be seen as the case n=2 in a series of equations of the form a⁴ + b⁴ ≠ c⁴ for any integer value of n greater than 2, which is what Fermat's Last Theorem addresses. The conviction behind mathematical postulates, as well as the certainty and consistency of mathematical proofs, contribute to the trust we place in mathematical theorems, just as repeated verification confirms theories in physics when the correct postulates are chosen.
Mrs. Karabin wants to paint the inside of her brand new two-car garage. The garage is 20 feet wide, 24 feet long, and 12 feet tall. She wants to paint the walls and the ceiling (not the floor). What’s the surface area of the parts she wants to paint?
Answer:
The surface area is [tex]1,536\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The surface area is equal to
[tex]SA=B+PH[/tex]
where
B is the area of the ceiling
P is the perimeter of the base
H is the height of the walls
substitute the given values
[tex]SA=(20)(24)+2(20+24)(12)[/tex]
[tex]SA=480+1,056=1,536\ ft^{2}[/tex]
Mrs. Karabin will be painting a total of 1536 square feet in her garage. This includes 1056 square feet for the walls and 480 square feet for the ceiling.
Explanation:To solve this, we need to calculate the surface area for the walls and ceiling of the garage. Because all sides of this garage are rectangular, we can find the area by multiplying the length by times width for each side.
For the walls: There are two walls that are 12 feet high and 24 feet long and two walls that are 12 feet high and 20 feet wide. So, we calculate (12x24)x2 + (12x20)x2 = 576 + 480 = 1056 square feet.
For the ceiling: The ceiling is 20 feet wide and 24 feet long, so we calculate 20x24 = 480 square feet.
Adding these together, Mrs. Karabin will be painting 1056 (for the walls) + 480 (for the ceiling) = 1536 square feet in total.
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The table shows the grades that science students earned on the last test. a:17 b:25 c:24 d:12 f:2 What percent of students received an A or a B?
Answer:
0.525 %
Step-by-step explanation:
there is a total of 80 students and 42 received a A or B so 42/80 = 0.525
Hope this helps!