Answer:
A)
Rylee bought $36.50 in clothes. This money is leaving her bank account, so represent the amount with a negative sign: -$36.50.
The tax on her purchase is 8%, so the tax amount is 0.08 × -$36.50. The expression that represents the net change in her bank account is -$36.50 + (0.08 × -$36.50).
Further simplify the expression by factoring -$36.50 from both terms:
-$36.50 + (0.08 × -$36.50)
=
-$36.50(1 + 0.08)
=
-$36.50(1.08).
B)
Rylee spent $25 for fuel at the gas station. This money is leaving her bank account, so represent the amount with a negative sign: -$25.
C)
The original price of Rylee’s groceries was $23.50. This money is leaving her bank account, so represent the amount with a negative sign: -$23.50.
Rylee got a 20% discount on her purchase. In other words, she got 20% of her money back. The expression that represents the net change in her bank account is -$23.50 – (-$23.50 × 0.2).
Further simplify the expression by factoring -$23.50 from both terms:
-$23.50 – (-$23.50 × 0.2) = -$23.50(1 – 0.2)
= -$23.50(0.8).
D)
clothing store:
-$36.50(1.08) or -$36.50 + (0.08 × -$36.50)
gas station:
-$25
grocery store:
-$23.50(0.8) or -$23.50 – (-$23.50 × 0.2)
After adding the three expenses:
-36.5 + (-36.5)(0.08) + (-25) + (-23.5) − (-23.5)(0.2) or
(-36.5)(1.08) + (-25) + (-23.5)(0.8).
E)
(-36.5)(1.08) + (-25) + (-23.5)(0.8) = -$83.22
enjoy :)
Write the sentence as an equation.
163 reduced by p is 291
Answer:
163 - p = 291
Step-by-step explanation:
Answer:
Here are some examples.
f(x) = [tex]x^{4}[/tex] - 6
f(x) = 3[tex]x^{2}[/tex] - x + 3
f(x) = 3[tex]\sqrt[]{3}[/tex] + [tex]x^{2}[/tex]
Step-by-step explanation:
Hope I could help. Brainliest??
What is the area of a rectangle
7 inches long and 3 inches wide?
Answer:
21
Step-by-step explanation:
you do 7x3
find the measure of the angel x
Answer:
80°+30°=180°
=110=180
x=70°
answer
Answer:
80 - 30 = 50
Step-by-step explanation:
bcz sum of two interior angle is equal to one exterior angle
The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 27 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.1 years and a sample variance of 36.0 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls.
Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is SM=_________ .The t statistic is _________. Now suppose you have a larger sample size n 81. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same standard deviation as above, but with the larger sample size. The new estimated standard error is __________ .The new t statistic is___________
Answer:
a) t-statistic t = 0.9532
b) The standard error S.E = 1.2
c) The new t-statistic = 1.95
d) The new estimated standard error =0.666
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 16
The sample size n=27
The mean of the sample = 17.1
Given that the variance of the sample (S²) = 36.0
The standard deviation of the sample (S) = √36 = 6
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{17.1 -16}{\frac{6}{\sqrt{27} } }[/tex]
t = 0.9532
b)
The standard error is defined by
[tex]S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{27} } =1.154[/tex]
Step(ii):-
c) given that the sample size n = 81
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{17.1 -16}{\frac{6}{\sqrt{81} } }[/tex]
t = 1.65
d)
The new standard error is defined by
[tex]S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{81} } = 0.66[/tex]
Count box lengths to identify the base and height. Then, find the area of the triangle.
How many square units is this triangle?
Answer:
14 units²
Step-by-step explanation:
1/2(7)(4)=14 units²
Answer:
14 square units
Step-by-step explanation:
calculate the area of a circle with a diameter of 3m?
with Solution =
Answer:
Area of circle = pie r²
= 3.14 × 2.25
=7.065
Answer: 7.07cm²
Step-by-step explanation: diameter=3
radius=d/2
=3/2
=1.5cm
area=πr²
=22/7 x 1.5 x 1.5
=22/7 x 2.25
=99/2 ÷ 7
=99/2 x 1/7
=99/14
Factor 3n^2 + 5n - 2
PLZ HELP
Answer:
(3n - 1)(n + 2)
Step-by-step explanation:
Helpppop meeeee plzzzzz
Answer:
7.4
Step-by-step explanation:
solve for side a in first triangle:
[tex]10^2-6^2=y^2[/tex]
100-36=[tex]\sqrt{64}[/tex] (take square root of 64)
y=8
then use 8 to solve for x:
[tex]8^2-3^2=x^2[/tex]
64-9=[tex]\sqrt{55}[/tex] (take square root of 55)
x=7.4
Sherbrooke, Quebec is 210 miles from Boston, MA. A train leaves Boston at noon and arrives in Sherbrooke at 4:40 PM. On the return trip to Boston, the train travels 50.4 mph. How many times greater (or less) is the train’s speed on the return trip to Boston than on the trip to Sherbrooke?
9514 1404 393
Answer:
1.12 times as great
Step-by-step explanation:
The speed from Boston is ...
(210 mi)/(4 2/3 h) = 45 mi/h
Then the speed to Boston is ...
50.4/45 = 1.12 . . . times as great
__
The speed on the return trip is 1.12 times as great, or 12% greater than on the trip to Sherbrooke.
9514 1404 393
Answer:
1.12 times as great
Step-by-step explanation:
The speed from Boston is ...
(210 mi)/(4 2/3 h) = 45 mi/h
Then the speed to Boston is ...
50.4/45 = 1.12 . . . times as great
__
The speed on the return trip is 1.12 times as great, or 12% greater than on the trip to Sherbrooke.
Use the rule 2 + 3 to find the missing number on the table.
X Y
0 3
3 6
11
7 10
9 12
Answer:
14
Step-by-step explanation:
11 + 3 = 14
Hope it helps!
Thanks!
Given the set of ordered pairs, do the following.
a. mapping
b. table
c. graph
1. {(0, 0), (1, -1), (1, 1), (4, -2), (4, 2)}
2. {(10, 0), (10, 2), (10, 4), (10, 6), (10, 8)}
¿Cómo se dice 80 en números romanos?
Answer:
PLEASE MARK ME BRAINLEST...
Step-by-step explanation:
Para leer y escribir correctamente el número 80 como número romano LXXX, debe leerse y escribirse de izquierda a derecha, y de mayor a menor número.
Answer:
Guessing that Romanos means Roman Numerals = LXXX
Step-by-step explanation:
L=50
X=10
10X3= 30
30+50=80
D'Andre earns some money by helping people with their yards. It takes him an average of 2 hours to weed a flowerbed and an average of 1.5 hours to mow and edge a lawn. He can work no more than 6 hours a day. He charges $60 to weed a flowerbed and $75 to mow and edge a lawn. He needs to cover his expenses of $150 to make a profit. Write a system of inequalities that would help determine how many flowerbeds and lawns he could complete on a given day.
______________________________
plz help its due like rn so I'll give brainliest
Answer:
3 flowerbeds and 5 lawns.
Step-by-step explanation:
I promise.
Which of the I-values are solutions to both of the following inequalities?
81> I and I > 68
Answer:
Option (C)
Step-by-step explanation:
Given inequalities are,
81 > x and x > 68
Therefore, 81 > x > 68 is the inequality representing the solution area for x.
Out of x = 88, 85 and 80,
x = 80 will lie between the range of x = 68 and x = 81.
Therefore, Option (C) will be the correct option.
28% of what number is 7? Round your answer to the nearest tenth.
Answer:
25
Step-by-step explanation:
hope i helped, if u have any additional questions feel free to reply here or msg me on ig (/craxzyx) !! <3
25 iS THE ANSEWR SO NOW JUST ROUND
True and false
Urgent!!! Please help man!
Answer:
True
Step-by-step explanation:
Because I did this.
Helpppppppp me with question 2 Tuesday pleaseeeeee
Answer:
firstly we solve mixed fraction i. e .
5/2 +b = 47/4
b. = 47/4 - 5/2
b = 27/4
https://youtu.be/RTFkRTT0EUY
pls subscribe my channel
Answer:
2 - [tex]b = 9\frac{1}{4}[/tex]
Step-by-step explanation:
Convert the mixed numbers into improper fractions.
2 • 2 + 1 = 5
4 • 11 + 3 = 47
[tex]\frac{5}{2} + b = \frac{47}{4}[/tex]
[tex]-\frac{5}{2} +\frac{5}{2} + b = \frac{47}{4} - \frac{5}{2}[/tex]
[tex]b = \frac{37}{4}[/tex]
[tex]b = 9\frac{1}{4}[/tex]
what is the answer to solve for n
Step-by-step explanation:
According to pythagoras theorem the square length of hypotenuse is equal to sum of other two sides
n^2 + 19^2 = 15^2
n^2 + 361 = 225 if we subtract 361 from both sides
n^2 = -136 but the root of square cannot be negative
I believe there's a mistake in this question so you should ask your teacher.
Write the multiplicative identity using 9.
Answer:
3*3
Step-by-step explanation:
hope it helps you
thank you
Can someone help me with this problem and help me understand it better
Answer:
Proved
Step-by-step explanation:
Given
The attached table
Required
Prove that Lydia is incorrect
Firat, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (5,19)[/tex]
[tex](x_2,y_2) = (4,15)[/tex]
So, we have:
[tex]m = \frac{15 - 19}{4 - 5}[/tex]
[tex]m = \frac{-4}{-1}[/tex]
[tex]m=4[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x-x_1)[/tex]
Where:
[tex](x_1,y_1) = (5,19)[/tex] and [tex]m=4[/tex]
This gives:
[tex]y - 19 = 4(x-5)[/tex]
[tex]y - 19 = 4x-20[/tex]
Make y the subject
[tex]y = 4x-20+19[/tex]
[tex]y = 4x-1[/tex]
The above shows the equation. Hence, the Lydia is correct
NEED HELP W GEOMETRY
In △
ABC, ∡A
is 2 more than twice ∡B
, and ∡C
is 7 less than twice ∡B
. What is the measure of each angle in △
ABC and what is its classifications?
Answers:
Angle A = 76Angle B = 37Angle C = 67Triangle ABC is an acute triangle. It's also a scalene triangle.
====================================================
Work Shown:
x = measure of angle B
2x+2 = measure of angle A, since we're told its "2 more than twice angle B"
2x-7 = measure of angle C, for similar reasoning
The three angles add to 180. This is true for any triangle
A+B+C = 180
(2x+2)+(x)+(2x-7) = 180
5x-5 = 180
5x = 180+5
5x = 185
x = 185/5
x = 37
This means angle B is 37 degrees. The other two angles are
A = 2x+2 = 2*37+2 = 74+2 = 76
C = 2x-7 = 2*37-7 = 74-7 = 67
----------------
In summary, we have these three interior angles
A = 76B = 37C = 67As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.
Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.
Sasha ran 2/3 of a 27km race before she stopped to walk. How
many kilometers had she run at that point?
Answer:
2/3 of 27=18 km
Step-by-step explanation:
Your teacher tells you that the hour hand on
an analog cl o ck will ro t ate 45 while yo u
w rite a math quiz. If the quiz starts at 9:00,
wh at time does it end? Wh at is the angle
b e t ween the starting and ending positions
of the minute hand?
The area of a rectangle is 2x*2-13x+12 and another area is 6x^2-13x+21, what is the combined area of both rectangles?
Answer:
8x^2 - 26x + 33
Step-by-step explanation:
Add the expressions.
2x^2 - 13x + 12 + 6x^2 - 13x + 21 =
= 2x^2 + 6x^2 - 13x - 13x + 12 + 21
= 8x^2 - 26x + 33
−4x+7y=3 what are the intercepts!!!!!
Tanner had $42.80 and spent 20% of his money on a book including tax. If he paid with a $10 bill, how much change did Tanner get back?
A. $7.28
B. $6.24
C. $1.44
D. $17.54
I have to turn this in at 5:00 pls help!!!
A photograph is in the shape of a rectangle. It has a Iength of (x + 2) inches and a width of (x -2) inches. What is the area of the photograph?
Answer:
The area of the photograph is: [tex]A=x^2-4[/tex]
Step-by-step explanation:
Given
The length of rectangular photograph = [tex]l[/tex] = (x + 2) inches
The width of rectangular photograph = [tex]w[/tex] = (x - 2) inches
To determine
The area of the photograph
Important Tip:
Given that the photograph is in the shape of a rectangle. Thus, we can use the formula involving the area of a rectangle to determine the area of a photograph.
The Area of the photograph can be determined using the formula
[tex]A = wl[/tex]
where
[tex]A[/tex] is the area[tex]l[/tex] is the length[tex]w[/tex] is the widthnow substituting [tex]l = (x + 2)[/tex] and [tex]w = (x-2)[/tex] in the formula
[tex]A = wl[/tex]
[tex]A = (x-2) (x+2)[/tex]
Apply Difference of Two Squares Formula: [tex]\left(a-b\right)\left(a+b\right)=a^2-b^2[/tex]
[tex]A=x^2-2^2[/tex] ∵ [tex]a=x,\:b=2[/tex]
[tex]A=x^2-4[/tex] ∵ [tex]2^2=4[/tex]
Therefore, the area of the photograph is: [tex]A=x^2-4[/tex]
What is the length of the unknown side?
16
12
A 14 units
B) 20 units
C 28 units
D) 200 units
Answer:
B)20 Units is the answer for it
Helpppp!!!!!! After a few rides, your friends are ready for some ice cream! You stop into Scoops to You for some ice-cream. Which is the better deal?
3 scoops for $3.69
2 scoops for $2.69
1 scoop for $1.79
Answer:
3 scoops for $3.69 is better deal.
Step-by-step explanation:
Given that,
There are 3 deals to buy icecram.
3 scoops for $3.69
2 scoops for $2.69
1 scoop for $1.79
We can find the cost of 1 scoop for each deal. So,
First deal,
1 scoop = 3.69/3 = $1.23
Second deal,
1 scoop = 2.69/2 = 1.345
We can see that the cost of 1 scoop for deal 1 is less than others. It means first deal is best.
