Answer:
(32×15)/(17 -9)
Step-by-step explanation:
The term "quotient" refers to the result of division. The term "product" refers to the result of multiplication. The term "difference" refers to the result of subtraction.
__
Here, we want the quotient of a product and a difference. This means the product will be divided by the difference. The product is the product of 32 and 15, so its value is (32×15). The difference is the difference of 17 and 9, so its value is (17 -9).
Then the desired numerical expression is ...
[tex]\boxed{\dfrac{32\times15}{17-9}}[/tex]
______
Additional comment
The result of evaluating this expression is ...
(32×15)/(17 -9) = 480/8 = 60
__
For quotients and differences, the order of the operands matters. Our convention is that "the quotient of A and B" means "A/B", and "the difference of A and B" means "A-B".
In general English usage (not specific to a formal math problem), the term "difference" often is used to mean "the positive difference." That is, the wording "the difference between 3 and 4" would generally refer to the value 1 (not -1).
Lisa, Kim and Bridget flew total of 7800 miles on Southwest airlines last year. Lisa flew 1500 miles. Kim flew 2200 miles. How many miles did Bridget fly?
Answer:
Bridget flew 4100 miles.
Step-by-step explanation:
L + K + B = 7800
1500+2200+B=7800
3700 + B = 7800
Subtract 3700.
B = 4100
Bridget flew 4100 miles.
what is the formula for the volume of a sphere with radius r = 5?
Answer:
V = (4/3)π·5³ = 500π/3
Step-by-step explanation:
The formula for the volume of any sphere as a function of its radius is ...
V = (4/3)π·r³
When the sphere has a radius of 5, we replace r in the formula with 5. The formula for the volume of a sphere with radius 5 is ...
V = (4/3)π·5³
__
When that is evaluated, the volume is found to be ...
V = 500π/3 ≈ 523.599 . . . cubic units
the volume of this is cone 923.16 cm what is the radius of this cone
Hey there!
[tex] \rightarrow \sf{ r = \sqrt{3 \frac{v}{\pi \ h} }} \: \rm{or} \: \sf{v = \frac{1}{3} \pi \: {r}^{2} \times h}[/tex]
[tex] \rightarrow \sf{923.16 = \frac{1}{3} (3.14) {r}^{2} \times h}[/tex]
[tex] \rightarrow \sf{\: 1.046667 {hr}^{2} =923.16}[/tex]
[tex] \rightarrow \sf{ \frac{1.046667 {hr}^{2} }{1.046667} = \frac{923.16}{1.046667} }[/tex]
[tex] \rightarrow \: \sf{ {r}^{2} = \frac{923.16}{1.046667h}}[/tex]
[tex] \rightarrow \: \sf{ r = \sqrt{ \frac{923.16}{1.046667h}}}[/tex]
There are 12 girls and 16 boys . What is the largest number in each group?
Answer:
Step-by-step explanation:
The largest number of groups they can be split into and have the same number of boys and girls on each team is 6 groups
Given:
Number of girls = 12
Number of boys = 16
Find the highest common factor of 12 and 16
12 = 1, 2, 4
18 = 1, 2,4
The highest common factor of 12 and 16 is 4
Number of girls in each group = 12/4
= 3 girls
Number of boy in each group = 18/4
= 4.5 boys=5
Therefore, the group can be split into 4 groups to have 3 girls and 5 boys in each group
B. Solve the following. Write your solutions and final answers in your notebook.
1. To relieve her stress from work. Tina would always watch the fishes moves around her 90 cm wide, 70 cm high, and 45 cm long aquarium. If the aquarium is filled halfway through its height; how much volume of water is in it?
2. Elisha has a swimming pool in their house that measures 10 m long, 5 m wide and 1 m high. Approximately, how much will she be paying for the water supply of her swimming pool, if the water costs P27.25 per cubic liter?
3. Myla bought a jar shaped like a rectangular prism having a length of 130 cm, a width of 70 cm, and a height of 110 cm. How much water is needed to fill the jar?
4. A truck with dimensions 9 feet long, 7 feet wide, and 5 feet high is delivering sand for a sand sculpture competition. How many trips must the truck make to deliver 945 cubic feet of sand?
5. Create a problem on volume and prepare a solution to your problem based on the figure below:
I need best answer please
The volume of water contained in this aquarium that is filled halfway through its height is equal to 141,750 cm³.
The volume of a right prism.Mathematically, the volume of a right prism is calculated by using this formula:
Volume = length × width × height
Given the following data:
Length = 45 cm.Width = 90 cm.Height = 70 cm.Based on the information, the aquarium is filled halfway through its height. Thus, the height of water is given by:
H = 70 × 0.5
H = 35 cm.
Substituting the parameters into the formula, we have;
Volume = 45 × 90 × 35
Volume = 141,750 cm³.
How to calculate the volume?Mathematically, the volume of Elisha's swimming pool is given by:
Volume = length × width × height
Volume = 10 × 5 × 1
Volume = 50 m³.
Now, we can calculate the cost of water supply:
Cost = 27.25 × 50 × 10³
Cost = P1,362,500.
How to calculate the volume of water.Mathematically, the volume of a rectangular prism is given by this formula:
Volume = length × width × height
Volume = 130 × 70 × 110
Volume = 1,001,000 cm³.
How to calculate the number of trips.Firs of all, we would determine the volume of this truck:
Volume = length × width × height
Volume = 9 × 7 × 5
Volume = 315 ft³.
Now, we can calculate the number of trips:
Number of trips = 945/315
Number of trips = 3 trips.
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Which rectangles have the same areas but greater perimeters than the one shown below? Choose all that apply.
A rectangle is shown with a length and height of 6 ft.
A.
12 feet long and 3 feet wide
B.
9 feet long and 4 feet wide
C.
8 feet long and 3 feet wide
D.
7 feet long and 4 feet wide
E.
18 feet long and 2 feet wide
The rectangles have the same areas but greater perimeters are 12 ft by 3 ft, 9 ft by 4 ft and 18 ft by 2 ft.
What is area?Area is the amount of space occupied by a two dimensional shape or object.
A rectangle is shown with a length and height of 6 ft. Hence:
Area = (6 * 6) = 36 ft²
Perimeter = 2(6 + 6) = 24 ft
For 12 ft by 3 ft:
Area = (12 * 3) = 36 ft²
Perimeter = 2(12 + 3) = 30 ft
For 9 ft by 4 ft:
Area = (9 * 4) = 36 ft²
Perimeter = 2(9 + 4) = 26 ft
For 8 ft by 3 ft:
Area = (8 * 3) = 24 ft²
Perimeter = 2(8 + 3) = 24 ft
For 7 ft by 4 ft:
Area = (7 * 4) = 28 ft²
Perimeter = 2(7 + 4) = 26 ft
For 18 ft by 2 ft:
Area = (18 * 2) = 36 ft²
Perimeter = 2(18 + 2) = 40 ft
The rectangles have the same areas but greater perimeters are 12 ft by 3 ft, 9 ft by 4 ft and 18 ft by 2 ft.
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How many 12 hours periods (half days) will pass after 25 hours? Enter only the whole number of period that have passed?
Answer:
2
Step-by-step explanation:
12 + 12 = 24
calvin and susie baked some cookies in the ratio of 3 : 7. calvin baked 60 fewer cookies than susie. how many cookies did they bake altogether?
Answer:
Step-by-step explanation:
Ratio of cakes baked by Calvin and Susie = 3 : 7
Cakes baked by Calvin = 3x
Cakes baked by Susie = 7x
Cakes baked by Calvin = Cakes baked by Susie - 60
3x = 7x - 60
7x - 60 = 3x
7x = 3x + 60
7x - 3x = 60
4x = 60
x = 60/4
x = 15
Cakes baked by Calvin = 3*15 = 45
Cakes baked by Susie = 7 *15 = 105
Total cakes baked = 45 + 105 = 150
They both baked 150 cakes altogether.
evaluate the expression 2b^3+5 (BTW I did the first part it's 3 but I need the second part)
To find the exact answer based on the last step, "[tex]2(3)^3+5[/tex]", you must use PEMDAS (attached image below)
[tex]2(3)^3+5=2*27+5=54+5=59[/tex]
Thus the answer is 59.
Hope that helps!
Answer:
2b³ + 5 = 59
Step-by-step explanation:
Given information,
→ 2b³ + 5
→ b = 3
Let's solve the expression,
→ 2b³ + 5
→ 2(3)³ + 5
→ 2(27) + 5
→ 54 + 5 = 59
Hence, the answer is 59.
Melanie goes to a shelter to buy a dog. She has settled on two dogs, an Alsatian and a bulldog. To decide between them, she plans to flip a coin. Before she does, she flips the coin 50 times to check for fairness of the model. Her results are shown in the table.
Coin Toss Result Times Result Occurred
heads 24
tails 26
The relative frequency of landing on heads is ____. The relative frequency of landing on tails is
____.
Using it's concept, it is found that the relative frequency of landing on heads is 0.48 and of landing on tails is 0.52.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 50 flips, 24 landed on heads and 26 on tails, hence:
Fh = 24/50 = 0.48.
Ft = 26/50 = 0.52.
The relative frequency of landing on heads is 0.48. The relative frequency of landing on tails is 0.52.
More can be learned about relative frequency at https://brainly.com/question/23359601
2 pounds of zucchini for 4 servings
Answer:
One pound of zucchini equals about 4 cups grated zucchini;
Step-by-step explanation:
2 cups of salted and squeezed zucchini; about 1 cup mashed zucchini; and 3 cups chunked zucchini.
What is the value of e?
1190
c
a
O A. 22°
OB. 48°
0 C. 61°
O D. 180°
Answer:
C. 61 degrees
Step-by-step explanation:
a line is 180 degrees
so e and 119 degrees makes a line
so you subtract 180-119= 61 degrees
Felix is dividing 322 by 12. He says the answer is going to be smaller than 322.
Do you agree with him and why?
Answer: Because dividing means to split into smaller groups
Ben made a down payment of $4,000
Answer:
Step-by-step explanation:
Do you know the rest of the question, I can hopefully answer it!
rest of the question??!
5/8 5/4 common denominator
Answer:
The common denominator of 5/8 and 5/4 is 8.
4×2 is 8 and 5/8 already has a denominator of 8
The common denominator of two fractions 5/8 and 5/4 is 8.
What is Number system?A number system is defined as a system of writing to express numbers.
To find a common denominator for 5/8 and 5/4, we need to find the least common multiple (LCM) of the denominators 8 and 4.
The multiples of 8 are: 8, 16, 24, 32, 40, 48, ...
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, ...
We can see that the least common multiple of 8 and 4 is 8, since 8 is the smallest number that appears in both lists.
To convert 5/8 to an equivalent fraction with denominator 8, we can multiply both the numerator and the denominator by 1, which is equivalent to multiplying by 8/8
Hence, the common denominator of two fractions 5/8 and 5/4 is 8.
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Use the diagram at the right to find the trigonometric ratio
Answer:
sin C=20/25=4/5
cos C=15/25=3/5
tan C=20/15=4/3
Step-by-step explanation:
sine is opposite/hypotenuse
cosine is adjacent/hypotenuse
tangent is opposite/adjacent
Use the graph or table to find the equation that represents the relationship.
Using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
What is the Equation that Represents a Linear Graph?If we have a graph or table that represents a linear relationship between x and y, we can use a linear equation to represent the graph or table as, y = mx + b.
The graph or table is missing, however, here's how to find the linear equation that represnts the table or graph.
We would find the following:
Slope (m) = chnage in y/change in x = unit rate.y-intercept (b) = the initial value or the vaue of y when the value of x is 0.Therefore, using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
Learn more about linear equation on:
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Answer:
Here you go
Step-by-step explanation:
Just use a slope calculator
J=(7x+13) K=(83-2x) and the sum of the measures of the angles is 141. What is the measure of each angle
Answer:
j=76 and k=65
Step-by-step explanation:
[tex]j + k = 141 \\ 7x + 13 + 83 + - 2x = 141 \\ 96 + 5x = 141 \\ 5x = 141 - 96 \\ 5x = 45 \\ x = \frac{45}{5} \\ x = 9 \\ j = (7 \times 9 + 13) \\ j =76 \\ k = 83 - 2(9) \\ = 83 - 18 \\ = 65[/tex]
PLEASE HELP PLEASE HELP I WILL BRAINLIEST
Answer:
65°
Step-by-step explanation:
<JKL=90°
<KJM+<JKL+<JML=360°
77°+90°+128°+<JML=360°
<JML=65°
Please help me just a and d
C = 2 x pi x r
if r = 5 cm
C = 2 x pi x 5 = 10 x pi
≈ 10 x 3,14 ≈ 31,4 cm
C = 2 x pi x r = pi x d
if d = 2 m
C = pi x 2
≈ 3,14 x 2 ≈ 6,28 m
Hello!
a)
C = 2πr C= 2*π *5 31,4cm
= 2*3,14* 5
d)
r =2/2 => 1m
C= 2πr C= 2*π*1 6,28m
= 2 *3,14*1
HELP ME OUT PLS!!!!!
Solve for x.
A) -30
B) -6
C) 6
D) 30
Step-by-step explanation:
-3x + 6 = 2x - 24
6 = 5x - 24
30 = 5x
x = 6
sophia has 8 spend on lunch .Does she have enough money for a sandwich a drink and a bag of chips
Answer:
depends on how much each thing costs
Step-by-step explanation:
The circumference of a circle is 18.84 yards. What is the circle's diameter?
Sam watched 10 cars drive past
him. 6 of those cars were white.
Write a fraction to describe the
fraction of white cars.
Answer:
3/5
Step-by-step explanation:
6 white cars out of 10 cars would be written as 6/10.
You then would simplify this fraction to 3/5.
So your answer is 6/10 or 3/5.
To the nearest hundredth, what is the value of x? 45 53° O 59.72 O 56.35 35.94 O 27.08
Answer:
Step-by-step explanation:
[tex]\frac{x}{45} =sin~53\\x=45 ~sin~53 ~\approx ~35.94[/tex]
i need help
Simplify the expression 63 + 5(4 − 2).
28
36
226
234
Answer:
226
Step-by-step explanation:
Given:
Simplify 6^3+5(4-2)
Note:
I think you meant 6^3 because if you solve 63+5(4-2):
63+5(4-2)
63+5 * 2
63 + 10
73
Solve:
6^3 + 5(4 - 2 )
6^3 + 5 x 2
6 x 6 x 6 = 216
226 + 5 x 2
5 x 2 = 10
216 + 10 = 226
~Lenvy~
How do you graph y=3x-2
Answer:
The graph should look almost exactly like this. I used a virtual graphing chart to assist, since it is capable of showing more than paper alone.
Answer:
Here is your answer.
Step-by-step explanation:
If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000, find the revenue and cost per month
Step-by-step explanation:
200,000 X 50,000 = 100000000
If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000 then the revenue per month is 2083 and the cost per month is 25000
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
If the total profit per month is Rs 200,000
Revenue per month can be obtained twice the cost per month minus 50,000
2x-50000
2x=50000
x=25000
So cost per month is 25000
The revenue per month is 25000/12
2083
Hence, the revenue per month is 2083 and the cost per month is 25000
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x is more than 15 by 3. Find x.
Answer:
18
Step-by-step explanation:
x-15=3
x=15+3
x=18
What is the value of the expression (–5) -3?
1. Apply the negative exponents rule:
1
(−5)3
2. Expand the power:
1
(−5)(−5)(−5)
3. Simplify:
1
x
What is the value of x?
x =
Answer:
15 :)
Step-by-step explanation:
brainliest please
Answer:
The answer is -125
Proof: