Answer:
$91.07
Step-by-step explanation:
You cannot take off 9.8% from $100 to find the answer, since 9.8% of $100 is more tax than she will pay. The toy has to cost less than $100, so that when you add 9.8% tax the price you end up with exactly $100, and 9.8% of under $100 is less that 9.8% of $100. Maybe this is why you are a few cents off.
This is how you do it.
The price of the toy is unknown, so we'll cal it x.
When you add 9.8% tax to x, you want to end up with exactly $100.
x + 9.8% of x = 100
Write 9.8% as a decimal by dividing the percent by 100.
9.8% = 9.8/100 = 0.098
Now we have:
x + 0.098x = 100
Add like terms on the left side:
1.098x = 100
Divide both sides by 1.098:
x = 100/1.098
x = 91.07
Answer: The most expensive toy she can get costs $91.07 before tax.
Check:
We now add 9.8% tax to $91.07 and make sure the total cost including tax is no more than $100.
$91.07 + 9.8% of $91.07 =
= $91.07 + 0.098 * $91.07
= $91.07 + $8.92
= $99.99
It seems that you could try to spend one more cent, to really get to the $100 limit, so let's try $91.08 as the most expensive toy she can buy.
We now add 9.8% tax to $91.08 and see what the total cost including tax is.
$91.08 + 9.8% of $91.08 =
= $91.08 + 0.098 * $91.08
= $91.08 + $8.93
= $100.01
You see that if Megan gets a $91.08 toy, with tax, the total cost is $100.01, which is over the $100 limit, so the answer is indeed $91.07.
If BC = x − 2, CD = 19, and BD = 3x − 11, what is BD? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you please type the answer in a step by step.
Answer:
UV = 15
BD= 31
Step-by-step explanation:
Since, U is the midpoint of TV.
Therefore,
TU = UV
x + 10 = 3x
x - 3x = - 10
-2x = - 10
x = - 10/-2
x = 5
UV = 3x = 3*5
UV = 15
BD = BC + CD
3x - 11 = x - 2 + 19
3x - 11 = x + 17
3x - x = 11 + 17
2x = 28
x = 28/2
x = 14
BD = 3x - 11 = 3*14-11 = 42 - 11
BD= 31
It is 2.1 km from Mary's house to the nearest mailbox. How far is it in meters?
It is 2.1 km from Mary's house to the nearest mailbox.
To Find:How far is it in metres.
Conversion:1 km = 1,000 m
2 km = 2 × 1,000 = 2,000 m
Solution:2.1 km = ( 2,000 + 100 ) m = 2,100 m
Answer:2,100 m
Therefore, It is 2,100 metre far away from Mary's house.
In Seattle, WA, it is said to rain 66% of the time. Since there are 365 days in a year, approximately how many days is it expected To rain?
In a year with 365 days, it should rain for about 240 of those days for the given condition.
What is the percentage?It is the ratio of two integers expressed as a decimal fraction of a whole number. It is a statistic for contrasting two sets of data, and the % sign is used to describe it as a percentage. Percentages are often and creatively used. For instance, a lot of data is published as percentages in the media, including bank interest rates, retail discounts, and inflation rates.
It is supposed to rain 66% of the time in Seattle, Washington. Considering that there are 365 days in a year,
Suppose the number of days is it expected to rain obtained be x,
x=66% of 365
x=66/100 × 365
x=240,9 ≈ 240
Thus, it should rain for about 240 days.
Learn more about the percentage here:
brainly.com/question/8011401
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Urgent Fast!!!!!!!??????
If he has 484 plants and there are as many rows as there are plants in each row, his field is a square.
The area of a square = (side)^2
In this problem,
Area = 484
side = # of rows
Let's plug our values into the formula above
484 plants = (side)^2
Take the sqrt of both sides.
22 rows = side.
Answer:
This is the answer..........
A carton has a length of fraction 2 and 1 over 6 feet, width of fraction 1 and 1 over 5 feet, and height of fraction 2 and 1 over 2 feet. What is the volume of the carton?
Answer:
6 1/2 cubic feet
Step-by-step explanation:
A carton has a length of 2 1/6 feet
The width is 1 1/5 feet
The height is 2 1/2 feet
Therefore the volume of the carton can be calculated as follows
= length × width × height
= 2 1/6 × 1 1/5 × 2 1/2
= 13/6 × 6/5 × 5/2
= 390/60
= 13/2
= 6 1/2 cubic feet
Hence the volume of the carton is 6 1/2 cubic feet
Please explain how this diagrams works
Answer:
x = 21°
Step-by-step explanation:
opposite angles are equal
therefore, (3x + 1)° = 64°
open the brackets
3x + 1 = 64
3x = 64 - 1
3x = 63
divide both sides by 3
x = 21°
I NEED HELPPPP
Complete the remaining columns in the chart by calculating the missing values for each
category. Round your percentages to the nearest tenth of a percent. (16 points)
Answer:
Step-by-step explanation:
Income tax = 9.8%
Housing = [tex]\frac{11400}{48900}\times 100[/tex]
= 23.3%
Food = [tex]\frac{7800}{48900}\times 100[/tex]
= 16.0%
Clothing = [tex]\frac{900}{48900}\times 100[/tex]
= 1.8%
Transportation = [tex]\frac{6000}{48900}\times 100[/tex]
= 12.3%
Insurance and medical = [tex]\frac{14400}{48900}\times 100[/tex]
= 29.5%
Entertainment = [tex]\frac{1200}{48900}\times 100[/tex]
= 2.5%
Emergency funds = [tex]\frac{600}{48900}\times 100[/tex]
= 1.2%
Savings for college = [tex]\frac{600}{48900}\times 100[/tex]
= 1.2%
Savings for retirement = [tex]\frac{1200}{48900}\times 100[/tex]
= 2.5%
Total = 100%
Answer:
Income tax = 9.8%
Housing =
= 23.3%
Food =
= 16.0%
Clothing =
= 1.8%
Transportation =
= 12.3%
Insurance and medical =
= 29.5%
Entertainment =
= 2.5%
Emergency funds =
= 1.2%
Savings for college =
= 1.2%
Savings for retirement =
= 2.5%
Total = 100%
Step-by-step explanation:
MATCH THE EXPRESSIONS WITH THE VARIABLES IN IT! HELP I APPRECIATE IT
x:
[tex]3x^{2} +x+9[/tex]
y:
[tex]4y+7[/tex]
[tex]6y^{2} +y+3[/tex]
x and y:
[tex]2x-3y^{3} -4[/tex]
[tex]5x+3y+6[/tex]
Solve the equation 1/4 (x+2)+5=-x
Answer:
Exact Form:
x=−225
Decimal Form:
x=−4.4
Mixed Number Form:
x=−4 2/5
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
1/4 (x-2) + 5 = x
1/4 (x-2) = x - 5
x - 2 = 4(x-5)
x-2 = 4*x + 4*-5
x-2 = 4x - 20
x - 4x = 2 - 20
-3x = -18
x = -18/-3
x = 6
Check:
1/4(6-2) + 5 = 6
1/4(4) + 5 = 6
1 + 5 = 6
The price of a sweater was reduced from 20$ to 12$. By what percentage was the price of the sweater reduced?
Answer:
60%
Step-by-step explanation:
To find the reduction percentage, divide 12 by 20, then multiply by 100:
12/20
= 0.6
0.6(100)
= 60
So, the sweater was reduced by 60%
Answer:
60%
Step-by-step explanation:
[tex]\frac{12}{20} * \frac{x}{100}[/tex]
12 * 100 is 1200
1200/20 = 60
So, therefore the sweater was reduced by 60%.
Hope this helps, have a great day:)
Study the graphs of f(x) and g(x). Which statement describes g(x) as a transformation of f(x) and identifies an equation for g(x)?
Answer:
D
Step-by-step explanation:
Are the following ratios equivalent?
$3 for 5 pages of stickers.
$15 for 19 pages of stickers.
Yes or no
Answer:
Answer:
no
Step-by-step explanation:
Can you please help with this question
Answer:
all
Step-by-step explanation:
first we can combine 5x and - 2x
5x + -2x = 3x
now we have 3x + 5 > 11
now we can go through all of the numbers to see which numbers make the inequality true
3 yes
3 * 3 = 9
9 + 5 = 14
so all of the numbers make it true
Answer:
d is the right answer
Step-by-step explanation:
3x+5-2x>11
3(3)+5-2(3)>11
8>11
so a is wrong
3(5)+5-2(5)>11
10>11
so b is wrong
3(6)+5-2(6)>11
11>11
c is wrong bc they equal
Solve the equation 4(0.2*-5)=12
Hey there!
[tex]Answer:\boxed{\text{FALSE}}[/tex]
[tex]Explanation:[/tex]
[tex]4(0.2\times-5)=12[/tex]
This equation is false because the value of 4(0.2 * -5) is not equal to 12.
Hope this helps!
What is the related rate of the ratio 90 to 3?
Answer:
30:1
Step-by-step explanation:
90:3
90÷3=30
3÷3=1
=30:1
I need help on this question
Answer:
If they are the same size and length
Step-by-step explanation:
Angles are congruent if ,and only if ,they have the same measure.
Hope it helps.
Describe and correct the error a student made when naming the polynomial
-2x3 + 5x4 - 3x is a
cubic trinomial
+
Choose the correct answer below
O A. The student did not put the polynomial in ascending order of the degrees of the terms before naming it by the first term. It is a linear trinomial.
O B. The student did not combine like terms before naming the polynomial. It is a degree-8 polynomial.
O C. The student did not put the polynomial in standard form before naming it by the first term. It is a fourth-degree trinomial.
OD. The student did not put the polynomial in standard form before naming it by the first term. It is a quadratic trinomial.
Answer:
C. The student did not put the polynomial in standard form before naming it by the first term. It is a fourth-degree trinomial.
Step-by-step explanation:
A trinomial is a polynomial with three variables. The polynomial -2x³ + 5x⁴ - 3x has three variables hence it is a trinomial.
The degree of a polynomial is the highest degree of a variable in a polynomial equation.
The polynomial -2x³ + 5x⁴ - 3x can be arranged as The polynomial 5x⁴ - 2x³ - 3x, hence the variable with the highest degree is 5x⁴ which has a degree of 4.
Therefore The polynomial -2x³ + 5x⁴ - 3x has a degree of 4
This means the polynomial -2x³ + 5x⁴ - 3x is a trinomial with a degree of 4
Are All integers are in the set of real numbers.
Translate the following algebraic expression into a written expression 3x ^ 2 + 2y + 1/2
Answer:
5
Step-by-step explanation:
Can you please help
Solve: x/2 = 7
Answers are:
x=5
X=7
X=9
X=14
Answer:
X = 14
14/2=7
Answer:
x=7
Step-by-step explanation:
you multiply a 2 to one already there and it eliminates the 2 entirely and then you get x=7
What is the slope of the line that passes through the points (-2,8) and (-22,8)? Write your answer in simplest from
. Which table does NOT show y as a function of x?
I 름
4
1
A.
7
Х
10
14
9
9
11
y
18
17
15
16
110
90
B.
14
х
100
80
100
y
-0.2
1.0
-0.9
8.1
-1.3
4.4
C.
0.6
-3.7
Х
-0.2
5.8
y
29
24
21
-27
2.5
2.5
D.
- 24
Х
2.7
2.8
2.7
Y У
o
What is the meaning of the expression (4 + 5) x 2?
Answer:
18.
Step-by-step explanation:
4+5 is 9, and 9 times 2 is 18
Is 6.60660666 a rational number?
Answer:
no
Step-by-step explanation:
22/44 rational or irrational?
Answer:
RATIONAL NUMBER
Step-by-step explanation:
22/44=2/4
IT IS IN THE SIMPLEST FORM AND IN THE FORM OF P/Q where as q is not equal to 0.
Winston put 3600 in a bank account that pays 3.4% over a 6 year period. How is the amount of simple interest will he earn? remember i = p r t
Answer:
3600 x 3.4=122.4 122.4 x 6=Answer
Step-by-step explanation:
Is the ordered pair (-3,2) a solution to the equation 5x + 2y = -11
Step-by-step explanation:
(-3,2) is equal to (x,y)
x=-3 so 5x becomes 5x-3.
5x-3=-15
y=2 so 2y becomes 2x2.
2x2=4
-15+4=-11
T/F
True
So the answer is Yes, the ordered pair (-3,2) is a solution.
hope it helps!
Evaluate. 5(-6)
Helppp
Step-by-step explanation:
-30
multiply you'll get a negative number
-55÷12 = 7÷4m + 8÷3m what is m
Answer:
[tex]m=-\frac{53}{55} \\m=-0.963[/tex]
Step-by-step explanation:
Rewrite Equation.
[tex]7/4m+8/3m=-55/12[/tex]
Simplify.
[tex]\frac{53}{12m} =-55/12[/tex]
Simplify.
[tex]\frac{53}{12m} =-\frac{55}{12}[/tex]
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
[tex]53*12=12m*-55[/tex]
Simplify & Answer:
[tex]m=-\frac{53}{55}[/tex]
Savannah's balance in her checking account was –$638.57. She deposited two checks, each in the amount of $298.40. What is Savannah’s new checking account balance after the deposits?
Answer:
$-41.77
Step-by-step explanation:
$298.40 multiplied by 2 is $596.8, since Savannah added 2 deposits.
Now we add that to the current balance, -$638.57, to get an answer of $-41.77
Answer:
-41.77
Step-by-step explanation:
Multiply $298.40 by 2 OR add $298.40 + $298.40
either gives you $596.80
Savannah deposited $596.80
You add that to -$638.57