Answer:
The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.
These benchmark values are sometimes used when estimating a solution involving percentages.
Real-World Example
If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.
10% of 36, done mentally, is 3.6.
Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:
What are the steps, in order, needed to solve 3x + 4 = 13?
Answer:
3
Step-by-step explanation:
First, subtract 4 from both sides. When you do this, that leaves you with: 3x=9. Then, divide 9 by 3 to get x by itself. x=3
Answer:
Find out what X is (X = 3) , Multiply X times three, add your new number with 4.
3 x 3 + 4 = 13
If Fun Reads Bookstore has a ready club with a $40 fee and charges $5 per book and Cool Covers Bookstores club charges $100 fee and charges $2 per book how many books would you have to buy to make Cool Covers Bookstore club a better buy?
Answer:
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
Step-by-step explanation:
Given that:
Fee charged by Fun Reads Bookstore = $40
Charges per book = $5
Let x be the number of books.
A(x) = 5x+40
Fee charged by Cool Covers Bookstore = $100
Charges per book = $2
B(x) = 2x+100
For making Cool Cover Bookstores club a better deal,
B(x) > A(x)
2x+100 > 5x+40
2x-5x > 40-100
-3x > -60
Dividing both sides by -3
[tex]\frac{-3x}{-3}>\frac{-60}{-3}\\x>20[/tex]
Hence,
You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.
Determine if x=2 is a solution.
Answer:
Do you have a picture for the problem that you want to be solved?
11 is what percent of 300?
Answer: 11 is 3.667% of 300.
Step-by-step explanation: The 3.667% of 300 is 11.001, this is the closest possible to 11.
P.D. Hope this helps!
Which of the following is an equivalent expression for -18x − 6?
A.
-6(3x + 1)
B.
-3(6x − 2)
C.
-3(6x − 3)
D.
-6(3x − 1)
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!
Answer:
its d
Step-by-step explanation:
Can somebody help me? With those three problems please
Answer:
15. [tex] x = 8 [/tex]
16. m<V = 103°
17. [tex] x = 14 [/tex]
Step-by-step explanation:
15. The figure given is quadrilateral. Sum of interior angles of a quadrilateral = 360°
Therefore:
[tex] (10x + 6) + (13x - 2) + (8x - 1) + (180 - 71) = 360 [/tex]
Solve for x
[tex] 10x + 6 + 13x - 2 + 8x - 1 + 109 = 360 [/tex]
Add like terms
[tex] 31x + 112 = 360 [/tex]
Subtract 112 from each side
[tex] 31x = 248 [/tex]
Divide both sides by 31
[tex] x = 8 [/tex]
16. The polygon is a hexagon. Sum of interior angles of a hexagon = 720. Therefore:
[tex] 90 + (7x + 3) + 128 + (5x + 8) + 111 + (9x - 19) = 720 [/tex]
Solve for x
[tex] 90 + 7x + 3 + 128 + 5x + 8 + 111 + 9x - 19 = 720 [/tex]
Add like terms
[tex] 321 + 21x = 720 [/tex]
Subtract 321 from each side
[tex] 21x = 399 [/tex]
Divide both sides by 21
[tex] x = 19 [/tex]
m<V = 5x + 8
Plug in the value of x
m<V = 5(19) + 8 = 95 + 8
m<V = 103
17. The polygon is a regular pentagon. This means each of the angles measures 108°. The sum of the interior angles all together is 540.
Therefore:
[tex] (9x - 18) = 108 [/tex]
Solve for x
[tex] 9x - 18 = 108 [/tex]
Add 18 to both sides
[tex] 9x = 126 [/tex]
Divide both sides by 9
[tex] x = 14 [/tex]
Use the graph below to choose a solution to the system of inequalities,
y
2.0
4
A) (2.1
B 6. 6
5.
6
02.1
Answer:
D
Step-by-step explanation:
fill in the blank to show an example of the symmetric property:
If JK = ST, then _ = __
Find(x^3+8x^2-25x-193) divide (x-5) by using synthetic division.
Answer:
x^2+13x+40 remainder 7. (or 7/(1-5))
Step-by-step explanation:
Answer:
x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]
Step-by-step explanation:
Using Synthetic division
dividing by ( x - 5) , thus use h = 5
5 | 1 8 - 25 - 193
↓ 5 65 200
+ + +
---------------------------------
1 13 40 7 ← remainder
quotient = x² + 13x + 40
Thus
[tex]\frac{x^3+8x^2-25x-193}{x-5}[/tex] = x² + 13x + 40 + [tex]\frac{7}{x-5}[/tex]
Help Please I need to finish my assignments still
Answer:
4.155
Step-by-step explanation:
4.53-0.375=4.155
what is the value of x in the diagram at the right
whats the degree of 5z^3-2z^4-9z^2+z
Ok we can see that [tex]2z^4[/tex] contains the variable with the highest exponent, 4, so the degree is 4.
Help please true or false?
Help this is seventh grade fractions.
Answer:
3/8
2/3
(3/8)(3/2) = 9/16 pages/1 minute
Step-by-step explanation:
3)
AY
-2 -
1341
zero
O negative
O undefined
O positive
Answer:
the answer is zero
hope this helps:)
Answer:
jsjxjxjsjdk d djdjsjjffjKns
please answer this question
Answer:
D. 1,300
Step-by-step explanation:
Find the inverse function of f(x)=−32x+4
(Hint: f(x) is the same thing as y. Swap your x and y then get in slope-intercept form (y= form))
f−1(x)=____x+____=____
can someone please help me on this?
Answer:
6.56
Step-by-step explanation:
ratio:
if 1 : 3.28
then 2 : 5.56
double it
Answer:
6.56 feet
Step-by-step explanation:
2 x 3.28=6.56
HTH :)
Please help its 99 points! I just need to write as an equation to represent a function PLEASE!.
Number of Miles |2|, |4|, |6|, |8|
Total Cost: .60, 1.20, 1.80, 2.50
1. Write an equation to represent the function.
Answer:
Step-by-step explanation:
i think the last number 2.50 is wrong, maybe is 2.4
total cost= 0.30 x number of miles
for the first 0.30*2=0.60
second 0.30*4=1.20
and so on
Answer:
.60 ÷ 2 = 0.3
1.20 ÷ 4 = 0.3
1.80 ÷ 6 = 0.3
2.50 ÷ 8 = 0.3125 so round it, and it equals 0.3
So are equation would be y ÷ x = 0.3
Find the slope of the line through each pair of points.
1. (19, -16), (-7, -15)
2. (-4, 7), (-6, -4)
3. (20, 8), (9, 16)
Step-by-step explanation:
1)
[tex] \frac{ y_{2} - y_{1}}{x_1 - x_2} [/tex]
[tex] \frac{ - 15 - ( - 16)}{ - 7 - ( + 19)} [/tex]
[tex] \frac{ - 15 + 16}{ - 7 - 16} [/tex]
[tex] \frac{ + 1}{ - 23} [/tex]
[tex] - \frac{1}{23} [/tex]
2)
[tex] \frac{ - 4 - 7}{ - 6 - ( - 4)} [/tex]
[tex] \frac{ - 11}{ - 2} [/tex]
[tex] + \frac{11}{2} [/tex]
3)
[tex] \frac{16 - 8}{9 - 20}[/tex]
[tex] \frac{6}{ - 11} [/tex]
[tex] - \frac{6}{11} [/tex]
Use _________ to isolate the variable.
You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?
A: 40
B: 3,360
C: 4,096
D: 32,768
Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:
[tex]First = 8\ marbles[/tex]
[tex]Second = 8\ marbles[/tex]
[tex]Third= 8\ marbles[/tex]
[tex]Fourth = 8\ marbles[/tex]
[tex]Fifth = 8\ marbles[/tex]
Total number of ways is then calculated as:
[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]
[tex]Total = 32768[/tex]
Please help me by answering my question
How many triangles can I make out of this shape?
Answer:I think it is 84
Step-by-step explanation: 9.3 x 9
Answer:
1,302 triangles
Step-by-step explanation:
All triangles are formed by the intersection of three diagonals at three different points. There are five arrangements of three diagonals to consider. We classify them based on the number of distinct diagonal endpoints. We will directly count the number of triangles with 3, 4, and 5 endpoints. We will then count the number of potential triangles with 6 endpoints, then correct for the false triangles.
You can make 84 triangles with 3 diagonal endpoints, 504 triangles with 4 diagonal endpoints, 630 triangles with 5 diagonal endpoints, and 84 triangles with 6 diagonal endpoints. This adds up to be 1,302 triangles altogether.
(x+5)(x-2) Expand and simpliy
Step-by-step explanation:
x(x-2) +5(x-2)
x² -2x + 5x -10
x² + 3x - 10
Answer:
the answer is x^2 + 3x - 10 I guess!
Step-by-step explanation:
This is an algebraic equation so-
please help me with my math
Answer:
22
Step-by-step explanation:
22 - 19 = 3
3 times -6 = -18
Hope this helps!!
need this fast guys .
Answer:
thanks
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
I just used rise/run
Solve -4h - 3 > 4 for h.
will give you brainliest
Answer:
h<-7/4
Step-by-step explanation:
PLZZ HELP ASAAP LIKE I NEED THE ANSWER NOW, WILL MARK BRAINLEST
The coordinates of a point on a coordinate grid are (−2, 6). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are
(2, 6)
(−2, 6)
(−2, −6)
(2, −6)
Answer:
(-2,-6)
Step-by-step explanation:
How much interest would $4000 earn in one year at a rate of 3.2%?