Final answer:
Mr. Young has 60 pencils, and the whole school has 400 pencils, calculated by multiplying Jack's 2 pencils by 30 and 200 respectively.
Explanation:
Mr. Young has 30 times as many pencils as Jack. If Jack has 2 pencils, then to find out how many pencils Mr. Young has, we simply multiply Jack's number of pencils by 30:
Mr. Young's pencils = Jack's pencils × 30
Mr. Young's pencils = 2 × 30 = 60 pencils.
Similarly, the whole school has 200 times as many pencils as Jack. To find out how many pencils the whole school has, we multiply Jack's number of pencils by 200:
The whole school's pencils = Jack's pencils × 200
The whole school's pencils = 2 × 200 = 400 pencils.
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
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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Can someone help me wit this please
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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negative 50 plus 300 minus 50 minus 100
Prove that ax+by+c=0 represent the eqn of straight line
Factor the expression.
4d + 12
Estimate each product 33.6 x 82.1
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 .
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.
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
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
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?
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
Solve the inequality 2 ways
Which is easier?
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]
Every 3 seconds , 4 cubic feet of water pass under the bridge. what is the unit rate?
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
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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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
what is the answer to
3(4x+6)+7x
The simplified value of the given expression 3(4x+6)+7x, is 19x+18
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Mathematical expressions have only numbers and operators, while algebraic expressions have both numbers and variables in terms, separated by operators in between.
For example, 4m + 5 is an expression where 4m and 5 are the terms and m is the variable of the given expression separated by the arithmetic sign +.
Given that, is an expression 3(4x+6)+7x, we need to simplify it,
3(4x+6)+7x
By the Distributive property, multiplying by 3,
3(4x+6)+7x
= 12x+18+7x
Rearranging the terms,
= 12x+7x+18
Adding the like terms,
= 19x+18
Hence, the simplified value of the given expression 3(4x+6)+7x, is 19x+18
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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
A driveway is 40 yards long. About how many meters long is it?
What is 60% out of 20
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.
A pump can move 42 gallons of water in 7 minutes. Find the unit rate
Ebert used to make a $22 an hour, but got a 10% raise. how much more will he make in a 40 hour work week with the raise?
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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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.
Estimate each sum or difference 27.89-12.64