Every 3 seconds , 4 cubic feet of water pass under the bridge. what is the unit rate?
Greg builds a new pond which has a volume of 7.35 m3. It is 4.2 m long and 50 cm deep. What is the width of the pond?
volume = length x width x depth
50cm = 0.5 m
7.35 = 4.2 x 0.5 x X
7.35 = 2.1 x X
x = 7.35 / 2.1
x = 3.5
width = 3.5 meters
Answer: 3.5 meters
Step-by-step explanation:
Given : The volume of a new pond = [tex]7.35\ m^3[/tex]
The length of a new pond = 4.2 m
The depth of the pond = 50 cm =0.5 m
Let the width of the pond be 'w'.
The volume of cuboid is given by :_
[tex]V=l\times h\times w\\\\\Rightarrow\ 7.35=4.2\times0.5\times w\\\\\Rightarrow\ w=\dfrac{7.35}{0.5\times4.2}\Rightarrow\ w=3.5[/tex]
Hence, the width of the pond = 3.5 meters
Tommy the Terrapin crawls 3 inches every 2 seconds.Sammy the snail crawls 5 inches every 3vseconds. The two pals have a race to see how long it will take to reach a fence 30 inches away .
Estimate each sum or difference 27.89-12.64
Which is the best estimate of 28 × 0 . 64 28×0.64?
A. 10
B. 15
C. 21
D. 28
Answer:
It is 15.
Step-by-step explanation:
Because the actual answer between 28 x 0.64 is 17.92.
The closest estimate for the multiplication of 28 by 0.64, is approximately 19 and given the options, 15 would be the best choice.
Explanation:The question is asking for the closest estimate for a multiplication problem, 28 times 0.64. We can convert the decimal 0.64 to a fraction which is approximately 2/3 (as 0.67 is closer to 0.64 than 0.5 - which would be 1/2). Hence, when multiplying 28 by 2/3, we get approximately 19.
Looking at the options given, 19 is not there. So, we select the nearest option to 19 which, in this case, it would be option B. 15.
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48 oz 1/2 gallon 3 1/2 pints 10 3/4 cups 2 1/4 quarts sort from least to greatest
1/2 gallon = 64 ounces
3 1/2 pints = 56 ounces
10 3/4 cups = 28.4 ounces
2 1/4 quarts = 72 ounces
so least to greatest:
10 3/4 cups, 48 oz., 3 1/2 pints, 1/2 gallon, 2 1/4 quarts
How many solutions does the following equation have ?
In the equation 4(y - 30) =4y + 12, the correct option is no solution. Therefore, option A is correct.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. It is clear that a statement is not even an equation if there is no "equal to" sign in it.
Let's solve the equation,
4(y - 30) =4y + 12
4y - 120 = 4y + 12
The value of 4y is got cancelled from both the sides, then the equation has no solution.
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A driveway is 40 yards long. About how many meters long is it?
A pump can move 42 gallons of water in 7 minutes. Find the unit rate
what is 10/4 as a mixed number
The fraction 10/4 written as a mixed number is 2 1/2
Given the improper fraction :
10/4To convert to a mixed number ; divide Numerator by denominator and express the remainder as a fraction
10/4 = 2 2/4
Express in its simplest form:
2 2/4 = 2 1/2Hence, the mixed number value is 2 1/2
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sales tax is calculated as a percentage of sales price. if sales tax is 6%, what is
the sales tax on clothing that cost $180?
The sales tax on clothing that costs $180 with a sales tax rate of 6% would be $10.80.
We have,
To calculate the sales tax on clothing that costs $180 with a sales tax rate of 6%, you can use the following formula:
Sales Tax = (Sales Price) x (Tax Rate)
Substituting the given values:
6% = 6/100 = 0,06
So,
Sales Tax = $180 x 0.06
Calculating the result:
Sales Tax = $10.80
Therefore,
The sales tax on clothing that costs $180 with a sales tax rate of 6% would be $10.80.
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What is the probability of guessing 3 questions correctly in a row (on a five-choice test)? A) .005 B) .16 C) .008 D) .2
Jason draws a line in the sand at the beach. The line is 7/8 ft long. He wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?
Answer: 7 sections.
Step-by-step explanation:
Given : Jason draws a line in the sand at the beach.
The line is [tex]\dfrac{7}{8}[/tex] ft long.
He wants to divide the line into sections that are each [tex]\dfrac{1}{8}[/tex] ft long.
Then, the number of section will the line be divided into is given by using division operation:-
[tex]\dfrac{7}{8}\div\dfrac{1}{8}[/tex]
[tex]\dfrac{7}{8}\times8=7[/tex] [Change [tex]\dfrac{1}{8}[/tex] by its reciproval (8) to convert division operation into multiplication]
Hence, the line will divided into 7 sections.
What is the product of −2 1/2 and −3 1/2 ? Enter your answer as a mixed number, in simplified form, in the box.
In 8 months, 55.6 gallons were used. Find the unit rate.
Answer:
6.95 gallons/month
Step-by-step explanation:
We are given that In 8 months, 55.6 gallons were used
Amount used in 8 months = 55.6 gallons
We are supposed to find amount used per month i.e. unit rate
So, Amount used in 8 months = 55.6 gallons
Amount used in 1 month = [tex]\frac{55.6}{8}[/tex] gallons
Amount used in 1 month = [tex]6.95[/tex] gallons
So, 6.95 gallons were used in 1 month
Hence the unit rate is 6.95 gallons/month
Light travels at 3.0 x 105 km/s. The sun is 1.5 x 108 km from Earth. How long does it take for the sun's light to reach Earth?
Answer:
It takes 8 minutes and 20 seconds for the light to travel this distance
Step-by-step explanation:
Velocity is calculated as:
V= d/t (1)
Where d is distance and t is time. As we want to find time t we must simplify (1) for t
t= d/V (2)
We replacethe values given:
t=d/V=1.5*10^8/3.0*10^5=5*10^3 = 500 seconds
As there are 60 seconds in a minute we find
minutes = 500/60 = 50/6 = 25/3 = 8 2/3 or 8 minutes 20 seconds
the table shows the prices for different party toy packages from the Tomtown Toy Company.Which item costs the least per toy? Explain your reasoning
Answer:
Dominoes costs the least per toy.
Step-by-step explanation:
From the given table it is clear that
Cost of 6-pack of Dominoes = $3.98
Cost of 1-pack of Dominoes = [tex]\frac{\$3.98}{6}\approx \$0.663[/tex]
The cost of 1-pack of Dominoes is $0.663.
Cost of 12-pack of Peg Games = $9.99
Cost of 1-pack of Peg Games = [tex]\frac{\$9.99}{12}=\$0.8325[/tex]
The cost of 1-pack of Peg Games is $0.8325.
Cost of 24-pack of Mini Footballs = $17.98
Cost of 1-pack of Mini Footballs = [tex]\frac{\$17.98}{24}\approx $0.75[/tex]
The cost of 1-pack of Mini Footballs is $0.75.
$0.663 is less than $0.8325 and $0.75. It means dominoes costs the least per toy.
Question for the people out there hungry for brainliest and points.
What's the absolute value of negative 3?
Solve the inequality 2 ways
Which is easier?
PLEASE HELP WITH THIS!
In "Brer Rabbit Goes Back to Mr. Man's Garden," how does Brer Rabbit end up in the box?
A.
Brer Rabbit jumps into the box because he thinks it contains lamb.
B.
Brer Fox traps Brer Rabbit in the box to help Mr. Man.
C.
Janey asks Brer Rabbit to get into the box before giving him any peanuts.
D.
Mr. Man sets a trap for Brer Rabbit in the peanut patch, and it works.
Factor the expression.
4d + 12
To which real number sets does the number −1.7 belong? Choose all answers that are correct. A. natural numbers B. whole numbers C. integers D. rational numbers
If g(x)= 2x-1, and h(x)= square root of x, find (goh)(9)
Answer:
The [tex](goh)(9)=5[/tex]
Step-by-step explanation:
We need to find out the [tex](goh)(9)[/tex]
Given:- [tex]g(x)=2x-1[/tex] and [tex]h(x)=\sqrt{x}[/tex]
First we need to find out the composition of (gof)(x)
Replace x in function g(x) with h(x) as;
[tex](goh)(x)=2(h(x))-1[/tex]
[tex](goh)(x)=2(\sqrt{x})-1[/tex]
Now put x=9 , in above to get the [tex](goh)(9)[/tex]
[tex](goh)(9)=2(\sqrt{9})-1[/tex]
[tex](goh)(9)=2(3)-1[/tex]
[tex](goh)(9)=6-1[/tex]
[tex](goh)(9)=5[/tex]
Therefore, [tex](goh)(9)=5[/tex]
negative 50 plus 300 minus 50 minus 100
What are the laws of exponents
Answer:
One rule to remember that everyone forgets is, multiply the base number as many times as what the exponent is. So for example, 3² is not 3 x 2 = 6, it's 3 x 3 = 9. Hope that makes sense! :)
Step-by-step explanation:
Prove that ax+by+c=0 represent the eqn of straight line
Can someone help me wit this please
after driving 117 km 3/5 of a trip is completed how long is the total trip how many more kilometers must be driven to complete the trip simplify your answer
What is 60% out of 20
Please help
An animal shelter spends $5.50 per day to care for each cat and $8.00 per day to care for each dog. Angel noticed that the shelter spent $54.00 caring for cats and dogs on Monday. Angel found a record showing that there were a total of 8 cats and dogs on Monday. How many cats were at the shelter on Monday?