To simplify 63 to 28 as a fraction, divide both 63 and 28 by their greatest common factor, resulting in 9/4.
63 to 28 as a fraction can be written as 63/28. To simplify this fraction, you can divide both the numerator and the denominator by their greatest common factor, which is 7. Therefore, 63/28 simplifies to 9/4.
The product of 2 consecutive odd integers is 1 less than 4 times their sum. A quadratic function models this situation. What is the domain of the situation?
A) all integers
B) all odd integers
C) all odd numbers less than zero
D) all odd integers greater than zero
Answer:
b; all odd integers
Step-by-step explanation:
since the problem is built around any odd integer than the domain would be the set of all odd integers--both positive and negative.
Each time Allison goes to the recycling center , she takes 10 bags of cans . She will go twice this month 3 times next month ,and once the following month . How many bags of cans will Allison take to the recycling center in these three months ?
The required number of bags that Allison takes to the recycling center is 60 bags.
Given that,
Each time Allison goes to the recycling center, she takes 10 bags of cans. She will go twice this month 3 times next month, and once the following month .
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Total number of times Allison went to the recycling center in three months,
= 2 + 3 + 1 = 6
Each time takes 10 bags of can,
So, total number of bags of can = 10 × 6 = 60
Thus, the required number of bags that Allison takes to the recycling center is 60 bags.
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Which answer correctly estimates the quotient of 8.39 ÷ 1.22? A. about 70 B. about 7 C. about 0.7 D. about 0.07
Solve the equation. -5x + 2 = 67
The dimensions of a rectangular floor in a floor plan are 4 cm by 6 cm. In actuality, the shorter side of the floor is 5m. Find the length of the longer side.
Answer:
7.5
Step-by-step explanation:
Randy ' s garden has 3 rows of carrots with 3 plants in each row. Next year, he plans to plant 4 times the number of rows. How many plants will he have next year?
What is the value of x in 6/15 = x/9
Someone came into my shop and stole $100 out of the register without my knowledge. The person came with the same $100 5 minutes later and he bought $70 in Items and I gave him back $30 change. How much money did I loose!!!!!!
Use the Distributive Property to find the product mentally. Show the steps you used
5 x 47
To find the product of 5 x 47 using the Distributive Property, we can break down the second number into its tens and ones digits, distribute the first number to both parts, and simplify the expression.
Explanation:To find the product of 5 x 47 using the Distributive Property, we can break down the second number, 47, into its tens and ones digits.
47 can be written as 40 + 7.
Then, we can distribute the 5 to both parts: 5 x 40 + 5 x 7.
This simplifies to 200 + 35, which equals 235.
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You are considering applying for a job as sales representative for a company that makes tanker trucks. You see this graph displayed in some company literature. In which way(s), if any, is this graph misleading?
It is misleading because of both A and B.
It is not misleading.
The vertical scale does not begin at zero.
The vertical scale has unequal intervals.
what is z^(3)+5z+3z^(2)+1 - 4 - 2z^(2) simplified
Distributive property 6(11+x)
Describe and correct the error in solving the equation
34=y - 12
- 12 +12
-------------------
22 = y
round 432 to the nearest hundred
if 2.54 centimeters = 1 inch, what would be the length of a ribbon that is 52 centimeters long in inches? ( round to the nearest tenths)
Determine the slope and the y-intercept. y = -5/2x - 2
The slope of the line y = -5/2x - 2 is -5/2, and the y-intercept is -2. This is determined using the slope-intercept form y = mx + b.
To determine the slope and the y-intercept of the linear equation y = -5/2x - 2, we use the slope-intercept form y = mx + b.
In this form:
m represents the slope of the line, andb represents the y-intercept.From the given equation y = -5/2x - 2:The slope (m) is -5/2.The y-intercept (b) is -2.Therefore, the slope of the line is -5/2, and the y-intercept is -2.
During the day, Sam spent $4.85 on lunch. He also bought 2 books for $7.95 each. At the end of the day, he had $8.20 left. How much money did he start with?
An investor owns shares of Stock A and Stock B. The investor owns a total of 200 shares with a total value of $4000. How many shares of each stock does the investor own?
stock price
a $9.50
b $27.00
The investor owns___shares of Stock A. The investor owns___shares of Stock B.
Answer:
a = 80 shares of stock A
b =120 shares of stock B
Final answer:
The investor owns 80 shares of Stock A and 120 shares of Stock B, calculated using a system of linear equations based on the total number of shares and their combined value.
Explanation:
The investor needs to determine how many shares of Stock A and Stock B they own. Let's call the number of shares of Stock A as x and the number of shares of Stock B as y. We know that the combined number of shares owned is 200, which gives us our first equation:
Equation 1: x + y = 200
Next, we have the combined value of the stocks, which is $4000. Stock A is priced at $9.50 per share and Stock B at $27.00 per share. This information allows us to construct our second equation:
Equation 2: 9.50x + 27y = 4000
Now we have a system of two equations with two unknowns, which we can solve via substitution or elimination. If we rearrange the first equation (Equation 1) to solve for y, we get:
y = 200 - x
Substitute y in the second equation (Equation 2):
9.50x + 27(200 - x) = 4000
That simplifies to:
9.50x + 5400 - 27x = 4000
-17.50x = -1400
x = 80
Now that we have x, we can substitute it back into Equation 1 to find y:
y = 200 - 80
y = 120
Therefore, the investor owns 80 shares of Stock A and 120 shares of Stock B.
Sharon has 64 fluid ounces of juice. She is going to use the juice to fill as many 6 ounce glasses as possible. She will drink the leftover juice. How much juice will Sharon drink?
The leftover juice taken by Sharon is 4 ounce.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The given problem can be solved by arithmetic operation as follows,
The leftover juice can be obtained by taking the remainder of 64 ÷ 6 as follows,
64 ÷ 6 = 6 × 10 + 4
Here remainder is 4 which means that after filling juice in 10 glasses 4 ounce juice is left.
Hence, the amount of juice taken by Sharon is 4 ounce.
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How do I choose a method to find the product
Winnie the Pooh goes to the honey store to buy a case of honey for the winter. The case of 24 jars of honey cost $27.60. What is the cost of each jar?
A) $0.87
B) $1.00
C) $1.15
D) $62.40
I just need a simple explanation on how to do the problem.
What is (6c-4)-(c-3), if c= -7?
use number sense Duane and Mick are saving their money to build a tree house.Duane adds $5. ti their piggy bank every other week Mick adds $2.every week.So far they have saved $45.How many weeks have they been saving money?
A water pump moves 2 gallons of water per second. How many gallons of water are pumped per minute? I need work to go with it
How many variable terms are in the expression 3x³y + 5xz − 4y + x − z + 9
Answer: 6
Step-by-step explanation:
In any algebraic expression a term could be a variable(a,b,c,...), or a constant (numerical value) or a product of variables and a constant.
For example : In expression [tex]5x^2-7xy+4c-4[/tex] , there are 4 terms : [tex]5x^2,\ -7xy,\ 4c\ ,\ -4[/tex]
Let's take one more example : [tex]3y+2x-7xy^2[/tex]
In this expression there are only 3 terms , that are [tex]3y,\ 2x,\ -7xy^2[/tex]
The given expression : [tex]3x^3y + 5xz -4y + x -z + 9[/tex]
There are total 6 variable terms , that are :
[tex]3x^3y ,\ 5xz,\ -4y ,\ x,\ -z ,\ 9[/tex]
Hence, the correct answer is : 6
itney sells mattresses at a furniture store. She makes a 9.75% commission on each mattress she sells. Last week, Britney sold four mattresses. The sale price of each mattress is shown in the table.
Mattress 1 $2400
Mattress 2 $3200
Mattress 3 $1900
Mattress 4 $800
How much did Britney earn last week?
Enter your answer in the box.
Answer:
Britney earn last week $809.25 .
Step-by-step explanation:
As given
itney sells mattresses at a furniture store.
She makes a 9.75% commission on each mattress she sells.
Britney sold four mattresses.
9.75% is written in the decimal form.
[tex]= \frac{9.75}{100}[/tex]
= 0.0975
Now find out the commission of first mattresses.
Mattresses cost = $2400
Commission on first mattresses = 0.0975 × 2400
=$234
Now find out the commission of second mattresses.
Mattresses cost = $3200
Commission on second mattresses = 0.0975 × 3200
=$312
Now find out the commission of third mattresses.
Mattresses cost = $1900
Commission on third mattresses = 0.0975 × 1900
=$185.25
Now find out the commission of fourth mattresses.
Mattresses cost = $800
Commission on fourth mattresses = 0.0975 × 800
=$78
Thus
Total Commission = Commission on first mattresses + Commission on second mattresses + Commission on third mattresses + Commission on fourth mattresses
Put value in the above
Total Commission = $234 +$312 + $185.25 + $78
=$809.25
Therefore the Britney earn last week $809.25 .
Mr. Josiah brought 5 1/2 pounds of chocolate for his store. He wants to separate the chocolate into 1/2 pound bags. How many 1/2 pound bags can he make?
A) 3
B) 5
C) 6
D) 11
what is the sum of -2/3 and -4/6
You know that 15% of a number n is 12. How can you use this to find 30% of n? 45% of n? Explain.
You jog 2 kilometers in 12 minutes. At this rate, how long will it take you to complete a 5 kilometer race?