round 432 to the nearest hundred
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
Tom and Sam shared equally one third of a chocolate bar. What fraction of the chocolate bar did each child get?
The capacity of joses vase is 2,419 milliliters of water. He poured 1 liter 299 milliliters of water into the empty vase. Then, he added 398 milliliters. How much more water will the vase hold?
The vase can hold 722 milliliters more water.
Explanation:To find out how much more water the vase will hold, we need to subtract the initial amount of water from the capacity of the vase. First, we convert 1 liter 299 milliliters into milliliters by multiplying 1 liter by 1,000 and adding 299 milliliters. So, 1 liter 299 milliliters is equal to 1,299 milliliters. Next, we add 398 milliliters to 1,299 milliliters to get the total amount of water poured into the vase, which is 1,697 milliliters. Finally, we subtract 1,697 milliliters from the capacity of the vase, which is 2,419 milliliters.
Therefore, the vase can hold 722 milliliters more water.
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:
What is the value of x in 6/15 = x/9
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 .
Lana needs X more dollars to buy a new scrapbook that sells for $8.35 she has $4.88 so far. Solve the equation $4.88 plus tax equals $8.35 to find out how much more money she needs.
Lana needs an additional $3.47 to buy the scrapbook, which is found by subtracting the amount she has ($4.88) from the total cost of the scrapbook ($8.35). The provided question's mention of tax is not included in the calculation as no tax rate is given, and it's assumed that the $8.35 is the final price after tax.
Explanation:The student asked how much more money Lana needs to buy a scrapbook priced at $8.35 if she already has $4.88. To find out the additional amount Lana needs, we subtract the money she already has from the total cost of the scrapbook.
Subtracting the amounts:
$8.35 (total cost) - $4.88 (amount Lana has) = $3.47
Therefore, Lana needs an additional $3.47 to purchase the scrapbook.
Note that the mention of 'plus tax' in the question may be confusing because taxes are typically added on top of the listed price, but here we are not given a tax rate. Hence, in our calculation, we assume the $8.35 already includes any tax.
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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.
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!!!!!!
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.
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
What is (6c-4)-(c-3), if c= -7?
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?
Distributive property 6(11+x)
the mad hatter buys his tea in bulk from the local store. a case of 100 tea bags cost 15 gold coins
John paid $150 for renting a boat for 5 hours. Which graph shows the relationship between the cost of renting a boat for different hours?
lol yeah where's the graph sorry lol
How do I choose a method to find the product
You jog 2 kilometers in 12 minutes. At this rate, how long will it take you to complete a 5 kilometer race?
Kristen is making lanyards for a convention. She needs to make 1,000 lanyards and knows that 1 lanyards uses 1.75 feet of cord. How much cord will Kristen need?
How many times does 50 go into 186 when dividing
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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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
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.
What equation do you get when you solve the equation the equation gh-gt+g=t for g?
To solve the equation gh - gt + g = t for g, factor g out from the left-hand terms and then divide both sides by (h - t + 1) to isolate g.
Explanation:To solve the given equation gh - gt + g = t for g, we need to isolate g on one side of the equation. Starting with the original equation, factor out g from the terms on the left-hand side:
g(h - t + 1) = t
Next, divide both sides of the equation by (h - t + 1) to solve for g:
g = t / (h - t + 1)
This gives us the value of g in terms of t, h, and g as constants, which may be aligned with concepts from physics such as the acceleration due to gravity and gravitational potential energy (G.P.E.).
Final answer:
To solve the equation gh - gt + g = t for g, you can factor out g, isolate the g term, and then divide both sides of the equation by (h - t).
Explanation:
To solve the equation gh - gt + g = t for g, we can start by combining like terms on the left side of the equation. This gives us gh - gt + g = t. Then, we can factor out g from the first two terms, which gives us g(h - t) + g = t. Next, we can subtract g from both sides of the equation to isolate the g term. This gives us g(h - t) = t - g. Finally, we can divide both sides of the equation by (h - t) to solve for g. This gives us g = (t - g) / (h - t).
Describe and correct the error in solving the equation
34=y - 12
- 12 +12
-------------------
22 = y
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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what is z^(3)+5z+3z^(2)+1 - 4 - 2z^(2) simplified
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.
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.