The sum of the ages of Mr and Mrs Smith and their children is 100. in 5 years time it's 130. how many children do they have
Find the mean of the integers 5, -15, 7, -13, 1
A mean is an arithmetic average of a set of observations. The mean of the integers 5, -15, 7, -13, 1 is -3.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The mean of the given integers can be written as,
Mean = Sum of observations/Number of observations
= [5 + (-15) + 7 + (-13) + 1]/5
= (5 - 15 + 7 - 13 + 1) / 5
= -15/5
= -3
Hence, the mean of the integers 5, -15, 7, -13, 1 is -3.
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Samantha says that (64)–3 = 6. Is she correct? Why or why not?
Whats the answer to this?
What is the perfect cubes between 1000 and 3000 that are even numbers
The even perfect cubes between 1000 and 3000 are 1000 and 1728, which are the cubes of 10 and 12 respectively.
Explanation:The perfect cubes between 1000 and 3000 that are even numbers can be found by determining the cubes of integers that fall within this range. We start by taking the cube root of 1000, which gives us approximately 10. Then we take the cube root of 3000, which gives us approximately 14. So, we have to find the cubes of numbers from 10 to 14.
Here is how we find them:
10^3 = 100011^3 = 133112^3 = 172813^3 = 219714^3 = 2744
Among these, the even cubes are 1000 and 1728, which are cubes of 10 and 12 respectively. Thus, 1000 and 1728 are the perfect cubes that are even numbers within the specified range.
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115 students are going on a field trip. How many buses do they need if each bus holds 30?
Question 2 options:
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To find a baseball pitcher's earned run average (ERA), you can use the formula Ei = 9r, in which E represents ERA, i represents the number of innings pitched, and r represents the number of earned runs allowed. Solve the equation for E. What is a pitcher's ERA if he allows 25 earned runs in 54 innings pitched? If necessary, round your answer to the nearest hundredth. The equation for E is E = . If a pitcher allows 25 earned runs in 54 innings, then the ERA = .
Answer: ERA = 4.17
Step-by-step explanation:
1. First, you need to identify the data you get from the sentence.
Earned runs: 25 (r)
Innings pitched: 54 (i)
Earned runs average: ? (ERA/E)
2. Replace your data in the formula.
Ei = 9r
E(54) = 9(25)
3. Solve the operations.
E(54) = 225
4. Now we use the transposing method to find E (ERA). 54 is
multiplying E, so it's going to move to the other side of the
equation dividing like this.
E(54) = 225 ⇒ E = 225/54
5. Calculate the result for E.
E = 4.1666666667
6. Finally, we round our answer.
E = 4.17
So, the earned runs average (ERA) is 4.17.
Which diagram shows ∠1 and ∠2 as vertical angles?
Use the partial quotient strategy to solve 74 ➗ 3
To solve 74 ÷ 3 using the partial quotient strategy, you repeatedly subtract multiples of 3 from 74 until you reach a number less than 3. The final quotient is 24 with a remainder of 2.
Explanation:To solve 74 ÷ 3 using the partial quotient strategy, you repeatedly subtract multiples of 3 from 74 until you reach a number less than 3. Here are the steps:
Start with 74 and divide it by 3. The quotient is 0.Multiply 0 by 3 to get 0, and subtract it from 74 to get 74.Add 1 to the quotient, which becomes 1.Multiply 1 by 3 to get 3, and subtract it from 74 to get 71.Add 1 to the quotient, which becomes 2.Multiply 2 by 3 to get 6, and subtract it from 71 to get 65.Continue this process until you reach a number less than 3. The final quotient is 24 with a remainder of 2.Learn more about Partial Quotient Strategy here:https://brainly.com/question/13802018
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How to set up the problem
An eight-month used stereo system was sold for $255.75. This was one third (1/3) the amount of what this system originally cost. What was the original cost of this set?
Given x is less than y compare the following expressions and determine which is greater 2 x - y or 2y - x explain your answer
one table sale has 75 cookies. Another table has 60 cupcakes. which table allows for more rectangular arrangements when all the cookies and cupcakes are displayed?
26=8+v show your work in one step
6.54 x 10 to the 7th power in standard notation
could negative 2 be used as a base to rewrite 32 and 64 why or why not
Which is bigger 1/3 or 0.33
The rectangle below has an area of x^2-144 square meters and a length of x+12 meters. What expression represents the width of the rectangle?
The expression for the width of the rectangle is W = ( x - 12 )
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
We can use the formula for the area of a rectangle to find an expression for its width:
Area = length × width
The length of the rectangle is given as x + 12 meters, and the area is given as x² - 144 square meters.
We can substitute these values into the formula and solve for the width:
x² - 144 = (x + 12) × width
To solve for the width, we can divide both sides of the equation by x + 12:
width , W = (x² - 144) / (x + 12)
W = ( x + 12 ) ( x - 12 ) / ( x + 12 )
W = ( x - 12 )
Hence , the expression that represents the width of the rectangle is given by W = (x² - 144) / (x + 12) = ( x - 12 )
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After two plays the wildcats gained a total of 16 yards. If X represents the number of yards for play one, and Y represents the number of yards for play two make a table for possible values of X and Y. Graph the ordered pairs and describe the graph
Adam is scuba diving he descends 5 feet below sea level he descends the same distance 4 more times what is Adams final elevation
Apply the distributive property to factor out the greatest common factor.
56+32=
The seventh grade class contributed $60 toward refreshments and the sixth grade contributed $50. How much money did the seventh grade class contribute for each dollar contributed by the sixth grade class
I NEED HELP WILL GIVE BRAINLIEST PLZZZ DON'T GET ME WRONG!
Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?
S. −(2.1−5.9)+(−3.7)
T. (2.1+5.9+3.7)
F. −2.1−(5.9+3.7)
U. (2.1+5.9)+(−3.7)
P = W/t solve for W?
3(2b+4)=6(5b+2)
please step by step
What is the simplified form of the following expression? Square root 1/169
1/338
1/13
13
2/69
Answer:
The answer is [tex]\frac{1}{13}[/tex]
Step-by-step explanation:
In order to determine the simplified form, we have to change the number inside of square root. We need to find a number with an exponent that represents the same number that is inside of the root.
Then, we have to use the rules of the powers and the rules of the roots.
[tex]\sqrt{\frac{1}{169} } \\\sqrt{\frac{1}{(13)^2} }\\\sqrt{(\frac{1}{(13)})^2 }\\\frac{1}{13}[/tex]
Finally, the answer is [tex]\frac{1}{13}[/tex]
The procedure to extract a number from a root is finding an expression of a number with a power, and that power has to be a multiple of the grade of the root.
what is f(0)+ g(0)??
please someone help me
asher recently bought the poster shown at the right. What is its area? Explain your reasoning to a classmate.
6+(w−10)=5 please show work!!!!!!!!!!!!!
6.51−9.32+h=1.02
2/3+y−1/9=7/9
2 1/2x−3/4(2x+5)=3/8
0.9(x+1.4)−2.3+0.1x=1.6
i dont know the others but i know the second one is 3.83
6.51−9.32+h=1.02
6.51-9.32+h+9.32=1.02+9.32
6.51+h-6.51=10.34-6.51
h=3.83
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used. At this rate, how many cups of sugar should be used if 2 cups of bananas are used
Answer:
4 cups of sugar will be added with 2 cups of banana in the banana recipe.
Step-by-step explanation:
A recipe for banana bread requires 3 cups of banana and [tex]1\frac{1}{2}[/tex] cups of sugar.
To calculate the cups of sugar used with 2 cups of bananas we will use unitary method.
∵ [tex]\frac{3}{2}[/tex] cups of sugar is used with amount of banana = 3 cups
∴ 1 cup of sugar will be used with banana = [tex]\frac{3}{\frac{3}{2}}[/tex]
∴ 2 cups of sugar will be used with banana = [tex]\frac{2\times 3}{\frac{3}{2} }[/tex] = [tex]6\times \frac{2}{3}[/tex]
= 4 cups
Therefore, 4 cups of sugar will be added with 2 cups of banana in the banana recipe.