The mystery number is really 32.
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
The mystery number = M
The sum of the number and 8 = M + 8
Half of that sum = (1/2)(M + 8)
10 added to that sum = (1/2)(M + 8) + 10
Thus (1/2) (M + 8) + 10 = 30
Now, subtract 10 from each side:
(1/2) (M + 8) = 20
Multiply each side by 2 :
M + 8 = 40
Subtract 8 from each side:
M = 32 .
So the mystery number is really 32.
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what is 4.4 tons rounded to the nearest ton
I have 13.75 gallons of paint. I want to use 2/5 of paint to paint the living room. How many gallons of paint will I use.
The student will use 5.5 gallons of paint to paint the living room by multiplying 13.75 gallons by 2/5.
The student has 13.75 gallons of paint and wishes to use 2/5 of it to paint the living room. To calculate the amount of paint used, we multiply the total amount of paint by the fraction representing the portion they wish to use.
The calculation is as follows:
Amount of paint used = Total paint × Fraction of paint used
Amount of paint used = 13.75 gallons × 2/5
Amount of paint used = 5.5 gallons
Therefore, the student will use 5.5 gallons of paint to paint the living room.
James's garden has a length of 12 1/4 feet and a width of 9 2/3 feet. What length of fencing will he need to surround his garden? Please show how you got the answer.
James will need 43 5/6 feet of fencing to surround his garden.
What is the length of fencing needed to surround the garden?Given the parameter:
Length of the garden = 12 1/4 feet
Width of the garden = 9 2/3 feet
Perimeter =?
To determine the length of fencing James will need to surround his garden, we can use the formula for the perimeter of a rectangle:
Perimeter = 2( length + width )
Plug in the values and solve for the perimeter:
Perimeter = 2( 12 1/4 + 9 2/3)
Perimeter = 2( 49/4 + 29/3)
Perimeter = 2( 263/12 )
Perimeter = 263/6
Perimeter = 43 5/6 feet
Therefore, the needed length of fencing is 43 5/6 feet.
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what is three hundred thousand, five thousand sixty-three written in standard form
The number three hundred thousand, five thousand sixty-three written in standard form is; 3.00563 × 10⁵.
According to the question;
We are required to write three hundred thousand, five thousand sixty-three in standard form.The number three hundred thousand, five thousand sixty-three written in digits is; 300,563.
When written in standard form as follows is; 3.00563 × 10⁵
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The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
If the area of the rectangle is 22 square inches, what is the value of the unknown number?
_____ inches
Answer:
a=14 hope this helps
what is 304 divided by 2 minus 26 plus 17 times 16
Final answer:
The order of operations is followed to solve the expression 304 divided by 2 minus 26 plus 17 times 16, resulting in a final answer of 398.
Explanation:
The student is asking to solve the mathematical expression 304 divided by 2 minus 26 plus 17 times 16.
To solve this, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
We first divide 304 by 2, then subtract 26, and finally add the result of multiplying 17 by 16.
Divide 304 by 2 to get 152.Subtract 26 from 152 to get 126.Multiply 17 by 16 to get 272.Add 126 and 272 to get the final result of 398.Calculation:
(304 / 2) - 26 + (17 * 16)
= (152 -26) + 272
= 126 + 272
= 398
3x+2y=-4
I need help solving this. Pease help
Keith plans on eating 1 1/4 cups of tuna per day for five days. How much tuna does he need? Is 4 cans enough? Canned tuna/meat: 4 cans = 5 & 3/5 cups.
Start at 5 create a pattern that multiplies each number by 3 and subtract 2 stop when you have 5 numbers
can someone please help!
any large backyard there are 4 times as many shrubs trees altogether there are 40 trees and shrubs how many trees are in the yard how many shrubs
The length of one side of a square city block is 462 meters what is the perimeter
The perimeter of square is 1848 m.
What is Perimeter of Square?All sides add up to the perimeter.
Square perimeter equals the sum of its four sides' lengths.
= side +side +side +side.
= 4 x sides.
Square's perimeter is therefore equal to 4s units.
Given:
Side of Square = 462 m
Now, Perimeter of Square = 4 x side
Perimeter of Square = 4 x 462
Perimeter of Square = 1848 m
Hence, the perimeter of square is 1848 m.
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What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −23 ?
A. y−7=2/3(x−1)
B. y+7=2/3(x+1)
C. y+7=−2/3(x−1)
D. y−7=−2/3(x+1)
Answer:
y + 7 = -2/3(x-1)
Step-by-step explanation:
i took the test :)
" Find the percent of change. Round to nearest whole percent if necessary. State whether the percent of change is an increase or decrease".
Mark bought a notebook for $1.45 and some pencils for $0.42 each. If the total cost was $6.91, how many pencils did he buy?
A.12
B.13
C.14
D.15
Alisha asked 120 students what kind of pet they like the most. Exactly 45% of the students said they liked dogs best. What was the total number of students who said they liked dogs best?
Victor wants to buy fertilizer for his yard. The yard is 35 feet by 55 feet. The direction on the bag of fertilizer say that one bag will cover 1,250 square feet. How many bags of fertilizer should Victor buy to be sure that he covers the entire yard?
what is the percent change of 150 to 175?
5 1/3• 3/8 please help me with this plzzzzz
a taxi fare y can be determined by the equation y=0.50x+3.50, where x is the number of miles traveled
Final answer:
The taxi fare is calculated with a linear equation that uses the number of miles traveled. The cost per mile is the slope (0.50) and the initial fare is the y-intercept (3.50). By substituting the number of miles into the equation, one can compute the total taxi fare.
Explanation:
The student's question involves understanding the equation of a linear function which describes a taxi fare. Specifically, the taxi fare y can be determined by the equation y=0.50x+3.50, where x is the number of miles traveled. The number 0.50 represents the slope of the line, which is the cost per mile, and the number 3.50 is the y-intercept, which is the initial fare before any miles are traveled.
Applying this knowledge to a practical example, if a person travels 5 miles, their taxi fare would be calculated by substituting x with 5 in the equation: y = 0.50(5) + 3.50, which equals 5.50 as the total fare.
Larry bought 4 lemonades for his friends.Each lemonades cost $1.28.Complete the table to show the prices of 2,3,and 4 lemonades
Use number patterns and powers of ten to complete the chart. Need help
Worth 23 points
How to use the distributive property to factor each polynomial?
Problem:
5z squared + 10z
Mrs Valdez bought 6 boxes of roses. Each box had 24 roses. She divided all the roses into nine equal bunches. How many were in each bunch.
Matthew has 18 sets of baseball cards.Each set has 12 cards. About how many baseball cards does Matthew has in all ?
At Raging River Sports, polyester-fill sleeping bags sell for $79. Down-fill sleeping bags sell for $149. in one week the store sold 14 sleeping bags for $1456. How many of each type of bag were sold
The store sold 9 polyester-fill sleeping bags and 5 down-fill sleeping bags.
We need to find the number of polyester-fill and down-fill sleeping bags sold.
Let's denote the number of polyester-fill sleeping bags as x and the number of down-fill sleeping bags as y. The given equations based on the problem statement are:
x + y = 14 (the total number of sleeping bags sold)
79x + 149y = 1456 (the total sales from sleeping bags)
We can solve this system of equations using either the substitution method or the elimination method. By multiplying the first equation by 79, we have:
79x + 79y = 1106
Subtracting this new equation from the second equation gives us:
149y - 79y = 1456 - 1106
70y = 350
y = 5
Substituting y = 5 into the first equation:
x + 5 = 14
x = 9
A pizza shop uses 7 pieces of pepperoni on a small pizza. How many pieces of pepperoni will they use if they make 1,398 small pizzas?
The first five terms of an arithmetic sequence are shown below: 20, 17, 14, 11, 8, . . . Let n represent the term number and f(n) the term in the sequence.
The rule of an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
[tex]a_1[/tex] - first term
[tex]d[/tex] - a difference [tex]d=a_n-a_{n-1}[/tex]
We have:
[tex]a_1=20;\ a_2=17;\ a_3=14;\ a_4=11;\ a_5=8;\ ...[/tex]
[tex]a_1=20;\ d=a_2-a_1\to d=17-20=-3[/tex]
substitute:
[tex]a_n=20+(n-1)\cdot(-3)=20-3n+3=-3n+23[/tex]
Answer: f(n) = -3n + 23
Answer:
f(n) = -3n + 23
Step-by-step explanation:
The price of an item has increased 15% since last year. However, a person can buy the item for a 25% employee discount. The employee pays $172.50. What was the price last year?
Answer:
The employee pays $172.50 and he got 25% employee discount.
If the cost is $100, he pays $(100 - 25) = $75.
So, employee pays =
100
------
75
.
172.50
= $230.00.
Again, price was increased by 15% last year. So whose cost is $100
is sold by $(100+15) = $115.
When sell price is $115, then cost price is $100. Then,
when sell price is $230, then cost price is
100
------
115
⋅
230
= $200.
Step-by-step explanation:
Three friends each have some ribbon Carol has 42 inches of ribbon title has 2.5 feet of ribbon and Baxter has 1.5 yards of ribbon Express the total length of ribbon the three friends have in inches feet and yards