Answer:
B. -3 1/2y + 2
Step-by-step explanation:
Our expression is: [tex]\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)[/tex].
Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:
[tex]\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y[/tex]
Now, we have:
[tex]\frac{-1}{4} y-2\frac{1}{4} y+2-y[/tex]
We want to combine like terms, which means combining all the terms with y in them:
[tex]\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2[/tex]
Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:
-3 1/2y + 2
The answer is thus B.
~ an aesthetics lover
What are the steps of finding the Circumference of a circle
Answer:
How to find the circumference of a circle:
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi which is 3.14 by the diameter of the circleIf a circle has a diameter of 4, its circumference is 3.14 x 4 = 12.56If you know the radius, the diameter is twice as largeHope this helps! :)
Evaluate 7 r − 15 s 7r− s 15 7, r, minus, start fraction, 15, divided by, s, end fraction when r = 3 r=3r, equals, 3 and s = 5 s=5s, equals, 5.
Answer: 18
Step-by-step explanation:
Evaluate 7 r − 15 /s
Given that r = 3 and s = 5
7r - 15/s
Substitute 3 for r and 5 for s in the above expression
7(3) - 15/5
= 21 - 3
= 18
Answer:
18
Step-by-step explanation:
30 points! Fraction Equasion
Answer: -3.3
Step-by-step explanation:
Answer:
-3.3
Step-by-step explanation:
-2.3 - (4.5 - 3 1/2)
Change the fraction to a decimal)
-2.3 - (4.5 - 3.5)
Parentheses first
-2.3 - (1)
Subtract
-3.3
The partial pressure of carbon dioxide in a mixture is 0.31 atm.
If the mole fraction of the carbon dioxide is 0.46, what is the
total pressure of the mixture?
Answer:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]X_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Step-by-step explanation:
For this case the partial presure of carbon dioxide is given by:
[tex] P_{Co2}= X_{Co2} P_{tot}[/tex]
Where [tex] P_{tot}[/tex] represent the total pressure and [tex]x_{Co2}[/tex] the fraction of carbon dioxide is 0.46 and we can find the total pressure with this formula:
[tex] P_{tot}= \frac{P_{Co2}}{X_{Co2}}[/tex]
And replacing we got:
[tex] P_{tot}= \frac{0.31 atm}{0.46}= 0.674 atm[/tex]
Deja is training for a race on Saturday. On Sunday, she runs 1/6 of a mile. On Monday she runs 1/5 of a mile. On Tuesday she runs 1/4 of a mile. On Wednesday she runs 1/3 of a mile. On Thursday she runs 1/2 of a mile. Finally, on Friday, the day before the race, she runs a whole mile. If the length of the race is the same as the total distance Deja ran in preparation, how many miles is the race?
Answer:
49/20 miles or 2.45 miles
Step-by-step explanation:
LCM(1,2,3,4,5,6,)=60
10/60+12/60+15/60+20/60+30/60+60/60=147/60=49/60 or 2.45
A piepie is divided into 2020 equal pieces. GlennGlenn and SophieSophie each ate one fourth 1 4 of the piepie on MondayMonday. The next day, SophieSophie ate one fifth 1 5 of the piepie that was leftover. How many of the pieces of the original piepie remain? Explain your reasoning. Together, GlennGlenn and SophieSophie ate one fourth 1 4 piece(s) on MondayMonday, and SophieSophie ate one fifth 1 5 piece(s) the next day. To find the number of pieces that remain, add these numbers to the total number of pieces. So, 0.450.45 pieces of the original piepie remain.
Answer:
Pieces remaining = 1 - (1/4 + 1/4) - (1/2 x1/5) = 1/2 - (1/2 x1/5) = 1/2 - 1/10 = 4/10
Therefore, 4/10 x 20 = 8 pieces.
Step-by-step explanation:
Sophie ate 1/4 = 5 pieces
Glenn ate 1/4 = 5 pieces
Remaining pieces = 20 - 5 - 5 = 10 pieces
On Monday, Sophie ate = 1/5 x 10 = 2 pieces
Therefore, remaining pieces = 10 - 2 pieces = 8 pieces
Sophie and Glenn consumed half of the pie the first day. This is equal to 10 pieces. The remaining pieces will be 10. If, on Monday, Sophie ate 1/5 of 10 pieces, representing 2 pieces, the number left over is 10 Minus 2, which equals 8 pieces.
What is the slope of the line that passes through the points (-2, 7) and (2,-5)?
Write your answer in simplest form.
Answer:
Denote that line: y = ax + b
Line passes (-2, 7) and (2,-5):
=> -2a + b =7
=> 2a + b = -5
Add both side of above equations:
=> 2b = 2
=> b = 1
=> a = (-5 - 1)/2 = -3
=> Slope a = -3
Hope this helps!
:)
This question is based on the equation of line. Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).
Given:
Points are (-2, 7) and (2,-5).
We need to calculate the slope of the line that passes through the points (-2, 7) and (2,-5).
According to the question,
As we know that, equation of line: y = mx +c
It is given that, line passes through points, (-2, 7) and (2,-5).
Now, putting this points in equation of line: y = mx +c.
We get,
=> -2m + c =7 ...(1)
=> 2m + c = -5 ...(2)
Now, adding and solving above two equations,
We get, c = 1
Then, putting the value of b= 1 in equation (1).
We get, m = -3.
Therefore, the slope of the line is -3 that passes through the points (-2, 7) and (2,-5).
For more details, prefer this link:
https://brainly.com/question/21511618
John made 2 quarts of juice for a school party. He said that he made 2/4 cup of juice. A. Explain John's mistake. B. How many cups of juice did John actually make?
Answer:
A. He thought 1 quart = 1/4 cup
B. actually made 8 cups of juice
Step-by-step explanation:
From conversion,
1 cup =1/4 quarts
A. John thought 1 quarts = 1/4 cup, which was his mistake
B. His 2/4 cups is actually
4*2 = 8 cups
A support wire extends from the top of a 225 feet radio tower to the ground and makes an angle of 64° with the ground. How long does the wire need to be to reach from the top of the tower to the ground?
Answer:
250.34 feet
Step-by-step explanation:
Find attached to this answer and appropriate diagram.
From this question, we can see that this is a trigonometric function
The height of the radio tower = 225 feet = Opposite side
θ = Angle 64°
In the question we are told to find the length of the wire needed to reach from the top of the tower to the ground.
From the attached diagram, we can see that that is equivalent to finding the hypotenuse.
Hence, we are using the Trigonometric function of Sine.
sin θ = Opposite side/ Hypotenuse side
sin 64 = 225 feet/ Hypotenuse
Cross multiply
sin 64 × Hypotenuse = 225 feet
Divide both sides by sin 64
Hypotenuse = 225 feet / sin 64
Hypotenuse = 250.33543661 feet
Approximately = 250.34 feet
Therefore, the length of the wire needed to reach from the top of the tower to the ground is 513.3 feet.
Which expression is equivalent to
ва ?
o areks
22
зев
обек
22
34
Answer:
22
Step-by-step explanation:
it is epuivalet
A card is picked at random from the following set. What is P(9) ? Write your answer as a percentage in the box given below.
Answer:
25%
Step-by-step explanation:
The (not mentioned in the question) set is: 6 7 8 9.
There are 4 total outcomes and only 1 favorable outcome, then the probability to pick a 9 is:
P(9) = favorable outcome/total outcomes
P(9) = 1/4 = 0.25 or 0.25*100 = 25%
Rosia ate 1/8 of a pizza. She then split the remainder of the pizza so she could share with her friend. What fraction of the pizza did they each take home?
Answer:
7/16
Step-by-step explanation:
Which of the following is the quotient of the rational expressions shown
below?
Dave wants to sketch a scale drawing of the porch. Choose a reasonable scale and make a scale drawing of the porch. Label the demensions of the model
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
Given the information:
20 feet long 6 feet widthA reasonable scale and make a scale drawing of the porch could be :
1 inch =4 feet
<=> the length side: 20:4 = 5 inches
<=> the width side: 6:4 = 1.5 inches
Hope it will find you well.
What is the surface area of the square pyramid?
A net has a square base with side lengths of 2, and 4 triangles with heights of 3.
square units:
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
The area of the square base is ...
A = s²
A = 2² = 4
The area of each triangle is ...
A = (1/2)bh
A = (1/2)(2)(3) = 3
So, the area of the base and 4 triangles is ...
total area = 4 + 4(3) = 16 . . . square units
Answer:
its 16
Step-by-step explanation:
PLZ HElp!! Solve the inequality. –6 < 2x – 4 < 4
Answer:
- 1 < x < 4
Step-by-step explanation:
[tex] - 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}[/tex]
Duffy completed a 50-meter dash in 36 seconds. That was 90 percent of the time it took Paul to complete it. What was Paul's time?
42 seconds
38 seconds
40 seconds
36 seconds
Answer:
40 seconds
Step-by-step explanation
Money is shared between kiera and louise in the ratio 4 :5 If £36 is shared how much does kiera recievve
Answer:
18$
Step-by-step explanation:
Answer:
£16
Step-by-step explanation:
Sum the parts of the ratio, 4 + 5 = 9 parts
Divide the money by 9 to find the value of one part of the ratio
£36 ÷ 9 = £4 ← value of 1 part of ratio, thus
4 × £4 = £16 ← Kiera's share of the money
Some insight: This is a unit rate question.
Answer:
i think is B.
Step-by-si tep explanation:
which of these numbers are prime 29,33,51,65,70
Answer:
29 and 51
Step-by-step explanation:
29 and 51 are prime because the only factors of them are the numbers themselves and 1.
29/1 = 29 51/1 = 51
The composite numbers are 33, 65, and 70 because they have more than one factor.
33/3 = 11 65/5 = 13 70/10 = 7
If this answer is correct, please make me Brainliest!
3.64 divided by 60.5 ROUNDED plz answer!!!
Answer:
0.06
Step-by-step explanation:
Solve the quadratic by factoring.
x2 - 4x = -4x + 4
Answer:
x=2 or x=-2
Step-by-step explanation:
ax^2+bx+c=0
first we rearrange this equation so we get x^2+(-4+4)x-4=0 so its x^2-4=0 so that means b=0 now we should find two numbers that when we multiply them we get c and when we subtract them we get b so that two numbers are 2 and -2
Which of the following situations is not an example of financial responsibility? Select all that apply.
(there is more than one answer)
A.pay with cash instead of a credit card
B.making payments on time
C.not sticking to a set budget
D.spending all of your paycheck
E.using coupons when you can
Answer:
C.not sticking to a set budget
D.spending all of your paycheck
Step-by-step explanation:
The situations which are not an example of financial responsibility are C. not sticking to a set budget and D. spending all of your paychecks.
Given are some situations in the options.
It is required to find those which are included in the financial responsibility.
Financial responsibility can be defined as the responsibility of a person who uses finances responsibly without spending too much or dealing with finance carelessly.
A) pay with cash instead of a credit card
This is something a responsible person does, who will not use a credit card until urgency came.
B) making payments on time
A financially responsible person will make payments on time. I not, the person will be affected by future bulk payments which will be very difficult then.
C) not sticking to a set budget
A financially irresponsible person will not stick to a budget and spends so much carelessly.
D) spending all of your paycheck
If a person is financially responsible, the person will not spend ll paychecks, since some will go to savings.
E) using coupons when you can
Using coupons when you can is a good thing in the case of finance since it will save money.
Hence the correct options are C and D.
Learn more about Financial Responsibility here :
https://brainly.com/question/8741325
#SPJ2
ession r' - (3+2)
(3 + 2)2 for 2 = 4.
Answer:
Step-by-step explanation:
idk im aooy
is 5/2 irrational or rational
Find the area of the shape shown below.
12
4
The answer to this question is 32
Answer:
32
Step-by-step explanation:
does anyone know the answer to this please ?
Answer:
I think it's the first one.
Which of the following describe the growth rate of the exponential function in the graph below?
Answer:
B)
Step-by-step explanation:
Let's check each answer:
A is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,5) instead
B is correct. The y-coordinate gets multiplied by 3 each time (0,1)->(1,1*3)->(2,3*3)->(4,3*3*3)
C is incorrect. If that were the case, (1,3) to (2,9) would be (1,3) to (2,7) instead.
D is incorrect. If that were the case, (0,1) to (1,3) would be (0,1) to (1,4) instead.
Therefore, the correct answer is B.
Answer:
Its B :)
Step-by-step explanation:
I j took the unit quiz lol
Find the product of (−2r+6s)(−2r−6s). Write your answer in standard form.
Answer:
4r^2 - 36 s^2
Step-by-step explanation:
Veronique and Lily compare their investment accounts to see how much they will have in the accounts after seven years. They substitute their values shown below into the compound interest formula. Compound Interest Accounts Name Principal Interest Rate Number of Years Compounded Veronique $1,000 5% 7 Once a year Lily $1,800 9% 7 Once a year A = P (1 + r) Superscript t Which pair of equations would correctly calculate their compound interests? Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9 Veronique: A = 1,800 (1 + 0.05) Superscript 7, Lily: A = 1,000 (1 + 0.09) Superscript 7 Veronique: A = 1,000 (1 + 0.07) Superscript 5, Lily: A = 1,800 (1 + 0.07) Superscript 9
Answer:
Veronique: A = 1,000 (1 + 0.05) superscript 7, Lily: A = 1,800 (1 + 0.09) Superscript 7
Step-by-step explanation:
the equation used to calculate future value of an investment (or bank deposit) using compound interest is:
future value = present value x (1 + interest rate)ⁿ
Veronique: future value = $1,000 x (1 + 5%)⁷ = $1,057Lily: future value = $1,800 x (1 + 9%)⁷ = $3,290.47Answer:
the answer would be A
Step-by-step explanation:
what the person above said.
