Students plan to pay back half the debt now though fundraising, and the rest after the harvest. Write an equation to represent the debt they will repay through fundraising. Use a negative integer to show debt. Use "D" to represent the debt that will be repaid by through fundraising.
Answer:
D = [tex]\frac{-d}{-2}[/tex]
Step-by-step explanation:
The students in this question are trying to pay back only half of the current debt (d) with the fundraiser (D). Since debt is money that is owed it would therefore be represented as a negative but in this case the fundraiser needs to be positive since it is money gained. So since we have a negative we would need to divide by -2 in order for the total to be positive.
D = [tex]\frac{-d}{-2}[/tex]
Finally, we are left with this equation which shows the debt that will be repaid through the fundraiser
A real estate agency sells a house for $315000. The real estate agent earns a commission of 5 3/4%. The real estate agency keeps 10 1/8% of the sale. Taxes take 4 1/8%, and the rest goes to the seller. How much does the seller get from the sale of the house?
Answer:
$252000
Step-by-step explanation:
Amount of real estate without commission = $315000
Total percentage commission on sale = 5 3/4 + 10 1/8 + 4 1/8
5 3/4 + 10 1/8 + 4 1/8 = 23/4 + 81/8 + 33/8
23/4 + 81/8 + 33/8 = 46+81+33/8
23/4 + 81/8 + 33/8 = 160/8
23/4 + 81/8 + 33/8 = 20%
Hence the total percent commission is 20%
Commission amount = 20% of $315000
Commission amount = 20/100 * 315000
Commission amount = 0.2*315000
Commission amount = $63000
The amount the seller get = $315000 = $63000
The amount the seller get= $252000
What value of x will make this equation true?
8 (3x + 3) = 3 (9x -9)
Answer:
17
Step-by-step explanation:
24x+24=27x-27
51=3x
x=17
I will give Brainlyest to the first person
A family gathered 12 seashells from the beach bringing the total number of seashells in their collection to 86
Which equation can be used to find, x, the number of seashells in the collection before the 12 were added?
Answer:
The first selection is the answer.
Step-by-step explanation:
x+12=86
The equation that can be used to find x is x + 12 = 86
A linear equation is of the form:
y = mx + b;
where y, x are variables, m is the slope of the line and b is the y intercept.
Let x represent the number of seashells in the collection before the 12 were added. Hence to find x, we use the equation:
x + 12 = 86
The equation that can be used to find x is x + 12 = 86
Find out more at: https://brainly.com/question/13911928
Using rational coefficients, find the factors of a polynomial function that has the following roots. ****Select all that apply**** 3 8i and 7 - square root of 5
the choices are
(x+3)
(x-3)
(x^2-9)
(x-8i)
(x^2+64)
(x-7-square root of 5)
(x^2-14x+44)
and (x^2-14x+54
Answer:
Options 2, 3, 4, 5, 7Step-by-step explanation:
Given roots:
3, 8i and 7 - √5Polynomial with same roots will have factors of:
(x - 3), (x - 8i) and (x - (7-√5))So correct choices are:
(x - 3)(x^2-9), has a factor of (x - 3)(x - 8i)(x^2+64), has a factor of (x - 8i)(x^2-14x+44), has a factor of (x - 7 + √5)can someone please help me with this :( asap
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A bag contains 6 blue marbles, 8 green marbles, 9 red marbles, and 17 yellow marbles. What is the ratio of blue marbles to total marbles?
Answer: 3:20
Step-by-step explanation: There are 6 blue marbles. Altogether, there are 40 marbles. So it would be 6:40, which simplifies to 3:20.
write in the simplest form 5.73 - ( -3.56)
Answer:
9.28
Step-by-step explanation:
5 AB is the diameter of a circle whose center is the point (4,-3). If the coordinates of A are (-1,5), Find AB>
Given:
AB is the diameter of a circle whose center is the point (4,-3).
Coordinates of A are (-1,5).
To find:
The measure of AB.
Solution:
Let point O(4,-3) be the center of the circle.
Then, OA is the radius of the circle.
We know that, diameter of a circle is twice of its radius.
So, [tex]AB=2(OA)[/tex] ...(i)
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between O and A is
[tex]OA=\sqrt{(-1-4)^2+(5-(-3))^2}[/tex]
[tex]OA=\sqrt{(-5)^2+(5+3)^2}[/tex]
[tex]OA=\sqrt{25+(8)^2}[/tex]
[tex]OA=\sqrt{25+64}[/tex]
[tex]OA=\sqrt{89}[/tex]
Now, using (i), we get
[tex]AB=2(OA)[/tex]
[tex]AB=2(\sqrt{89})[/tex]
[tex]AB=2\sqrt{89}[/tex]
Therefore, the measure of AB is [tex]2\sqrt{89}[/tex] units.
The mid segment of the triangle is 5x-1. Find the value of x.
Answer:
The value of x = 6
Step-by-step explanation:
The Midsegment of a triangle theorem states that the midsegment of a triangle is parallel to the third side of the triangle and it’s always equal to the one half or 1/2 of the length of the third side.
Now we can conclude that from the given triangle, the length of midsegment is 5x-1 which is parallel to the side of length 58, and will always equal to 1/2 of the length of the side of length 58.
Mathematically it means:
[tex]5x-1\:=\:\frac{58}{2}[/tex]
solving to find the length of x
[tex]5x-1=29[/tex]
Add 1 to both sides
[tex]5x-1+1=29+1[/tex]
[tex]5x=30[/tex]
Divide both sides by 5
[tex]\frac{5x}{5}=\frac{30}{5}[/tex]
[tex]x=6[/tex]
Therefore, the value of x = 6
Megan bought 2 1/4 pounds of bananas for 0.80 per pound and 1 1/2 pounds of strawberries for 1.10 per pound how much more did Megan spend on bananas than on strawberries
Answer:Megan spent 0.15 pounds more on bananas than strawberries
Step-by-step explanation:
Step 1
Cost of bananas = 2 1/4 pounds of bananas for 0.80 per pound
2 1/4 x 0.80 = 1.8 pounds
Cost of strawberry= 1 1/2 pounds of strawberries for 1.10 per pounds
1 1/2 x 1.10 = 1.65.
Step 2 how much more means the difference between the cost of bananas and strawberry .
Therefore, we have Cost of bananas - cost of strawberries
1.80 pounds - 1.65 pounds=0.15
Megan spent 0.15 pounds more on bananas than strawberries
How do you make a word problem out of an equation? (ex:Create a word problem that defines the following equation: 129+3x=1,000)
Answer:
I think of a number and multiply it by three, when I add it with 129 my answer will be equal to 1000. what is the number
Evaluate each expression if a = 3.45 and b = 15.356.
6. b-a.
7. a + b + 5
Answer:
11.906
23.806
Step-by-step explanation:
here you go also can you check my account for some lyrics i posted :)
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Answer:
$250
Step-by-step explanation:
Solve for X
[tex] \frac{x - 6}{2} = \frac{2 - x}{x} [/tex]
Answer:
[tex]\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
Step-by-step explanation:
[tex]\dfrac{x-6}{2}=\dfrac{2-x}{x}\\\\\text{Domain:}\ x\neq0\\\\\dfrac{x-6}{2}=\dfrac{2-x}{x}\qquad|\text{cross multiply}\\\\(x-6)(x)=2(2-x)\qquad|\text{use the distributive property}\\\\(x)(x)+(-6)(x)=(2)(2)+(2)(-x)\\\\x^2-6x=4-2x\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x^2-6x+2x=4-2x+2x\\\\x^2-4x=4\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot2+2^2=4+2^2\qquad|\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-2)^2=4+4\\\\(x-2)^2=8\iff x-2=\pm\sqrt8\\\\x-2=\pm\sqrt{4\cdot2}[/tex]
[tex]x-2=\pm\sqrt4\cdot\sqrt2\\\\x-2=\pm2\sqrt2\qquad|\text{add 2 to both sides}\\\\x-2+2=-2\sqrt2+2\ \vee\ x-2+2=2\sqrt2+2\\\\\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
A crew of highway workers paved 1/3 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?
Answer:
1 and 1/3 of a mile
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Select the correct answer.
Which pair of statements correctly compares the two data sets?
А.The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set.
B.The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set.
C. The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set.
D. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.
Answer: B?
Step-by-step explanation:
Answer:
Go for B
Step-by-step explanation:
Sally spent a long time searching for the perfect tree. She could look in 6 stores in 45 minutes. If she shopped for 2 hours, how many stores did she visit?
Answer:
24
Step-by-step explanation:
Sally visited 16 stores when shopping for 2 hours.
Since Sally could look in 6 stores in 45 minutes. Hence:
Time spent in each store = 45 minutes/6 stores = 7.5 minutes per store.
Given a time of 2 hours = 2 hours * 60 minutes per hour = 120 minutes
Number of stores visited in 2 hours = 120 minute / 7.5 minute per store = 16 stores
Therefore Sally visited 16 stores in 2 hours.
Find out more at: https://brainly.com/question/24169758
If you can, answer this please! Thank u!!!
Answer:
G
Step-by-step explanation:
LS and TD are in the same positions in the equation. S is the first letter and D is so they are equal to each other and the same for L and T
Robert says he needs 250 plastic sleevs for his basball card collection.He has 3084 baseball cards.Each sleev holds 12 cards do you agree whith robert
Answer:
No
Step-by-step explanation:
Given that:
Plastic sleeves needed = 250
Number of baseball cards = 3084
Sleeves held per card = 12
To determine the number of sleeves needed ;
Number of baseball cards / number of sleeves per card
= 3084 / 12
= 257
No, I do not agree with Roberts, from the calculation above, the number of plastic sleeves needed is 257
Joseph has 1/2 of a sub left after lunch. He eats 1/4 of this amount for snack. what fraction of a whole sub did Joseph eat for snack
Answer:
Step-by-step explanation:
I believe the answer would be 1/4 of the sub. Because they asked about the whole sub. And it says he ate 1/4 of the amount of that half of the sub for snack. So out of the whole sandwich it would be 1/4!
If it’s not the answer your looking for you can take it off...
But...
Hope it helps
The 7th grade students at Palm Coast Middle School made some apple pies for a bake sale. The school cafeteria also donated 9 pies toward the effort. All the pies at the sale were cut into 8 pieces. If at least 224 pieces of pie were sold in all, how many pies did the students bake? (shown on number lines)
Answer: at least 19
Step-by-step explanation:
Since there were at least 224 pieces of pie sold. We would divide the amount of slices of pie sold (224) by the amount of slices in each pie (8). Which would be (28) pies sold and then we would subtract the (9) pies that the school gave us, and we would end up with (19) pies.
I hope that can help you
What is the simplified form of the expression V-64?
Answer:
v32
Step-by-step explanation:
i think not sure tho
All 40 turkeys are in a pen. 1/4 are sleeping. 1/8 are eating, and 5/8 of them are hiding from the butcher. How many are sleeping How many are eating How many are hiding
Answer:
[tex]Sleeping = 10[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding =25[/tex]
Step-by-step explanation:
Given
[tex]Turkey = 40[/tex]
[tex]Sleeping = \frac{1}{4}[/tex]
[tex]Eating = \frac{1}{8}[/tex]
[tex]Hiding = \frac{5}{8}[/tex]
Required
Determine the number in each category
To solve this, we simply multiply each fraction by the total number of turkey:
[tex]Sleeping = \frac{1}{4} * 40[/tex]
[tex]Sleeping = \frac{40}{4}[/tex]
[tex]Sleeping = 10[/tex]
[tex]Eating = \frac{1}{8} * 40[/tex]
[tex]Eating = \frac{40}{8}[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding = \frac{5}{8} * 40[/tex]
[tex]Hiding = \frac{200}{8}[/tex]
[tex]Hiding =25[/tex]
can someone help me with this asap.
Answer:
fourth option
Step-by-step explanation:
Given
3x < - 9 ( divide both sides by 3 )
x < - 3
solution set is { x | x < - 3 }
ana buys a sweater for $25.60, and it is on sale for 35% off. what is the amount of the discount?
Answer:
16.64
Step-by-step explanation:
First times 25.60 by 35
Which is 896 then divide by 100
You should get 8.96
And then subtract it from 25.60
You get 16.64
therefore 25.60, 35% off is 16.64
HELPPP :(
Max is mountain hiking at a constant rate.
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.
Which statement best describes Max's elevation, given this equation?
Max started at a height of 10 meters and is ascending at 30 meters per hour.
Max started at a height of 10 meters and is descending at 30 meters per hour.
Max started at a height of 30 meters and is ascending at 10 meters per hour.
Max started at a height of 30 meters and is descending at 10 meters per hour.
(If you don’t know the answer, please don’t spam :<)
Answer:
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
The statement that best describes Max's elevation, given this equation is
D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.
Given that,
This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking.Explanation regarding the statement:The max should begins at the height of 30 meters. And, the ascending at 10 meters per hour.Learn more about the height here: https://brainly.com/question/5281804
which value is equivalent to 3^2+5x2-8
20 POINTS!!
(Also explain the reasoning you used to find the expression)
ILL MARK BRAINLIEST
Answer: your answer is 400 yd's and please pick me for brainliest
Step-by-step explanation:
40 × 10 = 400
9514 1404 393
Answer:
6x^2 +64x yd²
Step-by-step explanation:
The total horizontal width is ...
w = (x -2) +(3x) = 4x -2 . . . yards
So, the width of the downward-extending leg at right is ...
(4x -2) -(2x -2) = 2x
The total vertical height is ...
10 yds + 40 yds = 50 yds
So, the height of the downward-extending leg at right is ...
50 -3x . . . yards
__
Then the empty rectangle at upper right has an area of ...
A = LW = (3x yds)(10 yds) = 30x yd²
and the empty rectangle at lower left has an area of ...
A = LW = (2x -2 yds)(50 -3x yds) = -6x^2 +106x -100 yd²
__
The total area is the product of overall width and overall height, less the areas of the two empty rectangles:
A = (4x -2 yds)(50 yds) -30x yd² -(-6x^2 +106x -100) yd²
A = 6x^2 +64x yd² . . . . . area of the proposed parking lot
A student builds a model of her bathroom. The scale is 1:25. In the scale model, the students bed is 3 inches long.
HOW LONG IS THE STUDENTS ACTUAL BED?
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
75
Step-by-step explanation:
The answer is 75 because you have to cross mutiply:
1 3
25 x
3 x 25 is 75