Answer:
p : r = 5 : 2
Step-by-step explanation:
Expressing the ratios in fractional form, then
[tex]\frac{p}{r}[/tex] = [tex]\frac{p}{a}[/tex] × [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex] × [tex]\frac{c}{r}[/tex]
= [tex]\frac{1}{2}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{5}{1}[/tex] × [tex]\frac{3}{2}[/tex]
= [tex]\frac{30}{12}[/tex]
= [tex]\frac{5}{2}[/tex]
Thus ratio p : r = 5 : 2
Greeting cards (c) and gift bags (b) are the same price (p). Cassie purchased greeting cards and gift bags, the price of which can be expressed by p(c + b).
Select all the expressions that also represent the price of the greeting cards and gift bags.
A. pcb
B. pc + b
C. pc + pb
D. (b + c)p
Answer:
C...
Step-by-step explanation:
Equivalent expressions are expressions of the same value.
The equivalent expressions of p(c + b) are (d) (b + c){p) and (c) pc + pb
The expression is given as:
[tex]\mathbf{p(c + b)}[/tex]
Rewrite as:
[tex]\mathbf{p(c + b) = (b + c)p}[/tex]
Open brackets
[tex]\mathbf{p(c + b) = pc + pb }[/tex]
Hence, the equivalent expressions of p(c + b) are (d) (b + c){p) and (c) pc + pb
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Two times the sum of nine and a number is the opposite of 9.
the value of x that satisfies the equation 2/3x + 4 = 3/2(x-4) is?
Answer:
A solution to an equation is a value of a variable that makes the equation true. From the statement "Which value of x satisfies the equation", we need to understand that, we have to find the value of x from the given question.
Let us see some example problems based on the above concept.
Example 1 :
Which value of x is the solution of the equation
(2/3) x + (1/2) = (5/6) ?
Solution :
(2/3) x + (1/2) = (5/6)
(2x/3) + (1/2) = (5/6)
(4x + 3)/6 = (5/6)
Multiply 6 on both sides
4x + 3 = 5
Subtract 3 on both sides
4x + 3 - 3 = 5 - 3
4x = 2
Divide by 4 on both sides
4x/4 = 2/4
x = 1/2
Hence the value 1/2 will satisfy the above equation.
Example 2 :
Which value of x is the solution of the equation
(2/3) x + (x/6) = 5 ?
Solution :
(2x/3) + (x/6) = 5
(4x/6) + (x/6) = 5
(4x + x)/6 = 5
5x/6 = 5
Multiply by 6 on both sides
5x = 5 (6)
5x = 30
Divide by 5 on both sides
x = 30/5 = 6
Hence the value 6 will satisfy the above equation.
Example 3 :
The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with (2x/3) − 5 members and the other with x/4 members. How many people are on the school board?
Solution :
From the above question, we come to know that we have to solve for x, that makes the statement true.
(2x/3) − 5 = x/4
(2x - 15)/3 = x/4
Multiply 3 on both sides
2x - 15 = 3x/4
Multiply by 4 on both sides
4(2x - 15) = 3x
8x - 60 = 3x
Subtract 3x on both sides
8x - 3x - 60 = 0
5x - 60 = 0
Add by 60 on both sides
5x - 60 + 60 = 0 + 60
5x = 60
Divide by 5 on both sides
x = 60/5
x = 12
Example 4 :
What is the value of x in the equation
(x − 2)/3 + 1/6 = 5/6 ?
Solution :
(x − 2)/3 + 1/6 = 5/6
(2(x - 2) + 1)/6 = 5/6
multiply by 6 on both sides
(2x - 4 + 1) = 5
2x - 3 = 5
Add 3 on both sides
2x - 3 + 3 = 5 + 3
2x = 8
Divide by 2 on both sides
x = 8/2
x = 4
Step-by-step explanation:
A DVD player is on sale for 15% of the regular price of $135. After the
price reduction, a 5% sales tax is added.
How much will a customer pay?
Answer:
the correct answer would be 13.5
Tyler is going on a hiking trip. At the end of the first day he has 5,250 feet left to climb. He plans to climb 500 feet each day.
Write an explicit formula to model the situation.
Answer:500x=5,250
Step-by-step explanation:
He climbs 500 steps a day so the answer will be 500x=5250
Molly and Jacob are meeting at the pool to go swimming. The pool is 3.22 kilometers from Molly's house and 2.81 kilometers from Jacob's house. How much farther does Molly live from the pool than Jacob? *
Answer:
cookie
Step-by-step explanation:
What is the total surface area, in square feet, of the net shown below? HELP ME I GIVE BRIANEST ASAP
Answer:
408square feet is total surface area of given figure
Step-by-step explanation:
area of two triangle=120square feet
area of 2 outer rectangle=208square feet
area of inner rectangle =80square feet
sum of all shape=120+208+80=408square feet
Use trigonometric identities to solve each equation within the given domain.
a) –sin^2(x) = cos(2x) from [–π, π]
b) 3 tan(x) = 2 sin(2x) from [0, 2π)
c) sec(x) cos(3x) = 0 from [–pi/2,pi/2]
d) 1 – cos(x) = 2 – 2 sin^2(x) from (–π, π)
e) 4cos^4(x) – 5cos^2(x) + 1 = 0 from [0, 2π)
Answer:
A) X=pi/2 or X=-pi/2
B) X=pi/6 or X=-pi/6
C) X=pi/4 , 3pi/4, 5pi/4 and 7pi/4
D) X= 1-cos^2(x/2)
E) X= pi/3 +2pi N, 5pi/3+2pi N
Step-by-step explanation:
Don't even bother asking. :)
What does Thanksgiving have in common with Halloween?
Answer:
They are both Holidays. People also put up decorations for both.
Thanksgiving has in common with Halloween are:
- They are both celebrated in the fall season.
- They often involve gathering with family and friends.
What are cultural events?Cultural events are social gatherings or activities that celebrate or showcase the values, traditions, beliefs, and customs of a particular community or society.
We have,
Thanksgiving and Halloween:
Both are holidays celebrated in the United States, but they are very different in terms of their origins and traditions.
- One thing they have in common is that they are both celebrated in the fall season.
Halloween is celebrated on October 31st, while Thanksgiving is celebrated on the fourth Thursday of November.
- Another thing they have in common is that they often involve gathering with family and friends.
On Thanksgiving, people often have large family meals and give thanks for their blessings.
On Halloween, people may have costume parties or go trick-or-treating with friends and family.
Thus,
Thanksgiving has in common with Halloween are:
- They are both celebrated in the fall season.
- They often involve gathering with family and friends.
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PLZZZ HELP
All of the following expressions are equivalent to 12 w+ 6, except
(3 + 6 w)2
6(1 + 2 w)
-1(-12 w-6)
-1(12 w-6)
Answer:
Except -1(12w-6)
Step-by-step explanation:
It's equivalent to -12w+6 when expand
Can two triangles be non congruent but have one pair of congruent sides and two pairs of congruent angles? Explain.
A. No; the triangles would be congruent by ASA.
B. No; the triangles would be congruent by both ASA and AAS.
C. Yes, if the congruent side between the two angles in one triangle is adjacent to only one of the angles in the other triangle.
D. Yes, if the congruent side between the two angles in one triangle is also between the two angles in the other triangle.
Answer:
B
They have two angles and one side, that's AAS or SAS
Find an integer x such that 2/3 < x/5 < 6/7
Answer:
Step-by-step explanation:
x=4. 2/3 is .6 6/7 is .85. 4/5 is .8. it fits perfectly in this inequality
Marking brainless!! Explain how to solve this problem.
-5x + 12 > 32
Answer:
x < - 4
Step-by-step explanation:
-5x + 12 > 32
- 12 > - 12
-5x > 20
-5x/-5 < 20/-5
x < - 4
0.03 × n = 0.018 what does n equal?
pls answer I give brainliest
Answer:
0.6
Step-by-step explanation:
To find the answer, do 0.018 divided by 0.03 which equals 0.6
Hope this helps you!! :)
n= 0.6
Answer:n=0.6
Step-by-step explanation: you divide 0.03 on both sides which gives you the answer to n
Monica rode her bike 35 kilometers in 2.5 hours. What was her average speed
Answer:
14 kilometers
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
35÷2.5=14
have a goodnight
z+17=7 solve the equation
Answer:
Hi mate,
Step-by-step explanation:
the answer is - 10
pls mark me as the brainliest
HELP!!!!!!!!!! I don't have much time
jeff high school theater has one ticket
PLEASEEEEEEEE HELPPPP MEEEEE
Tell which measure is greater. One yard or one meter?
Answer:
one yard one yard is bigger. 1 yard=0.9144 meter
One meter is greater than one yard
Question 6: CONSUMER MATH
Answer:
A. 18.99
Step-by-step explanation:
Times 75.95 by .25 and you get the amount taken off
At the beginning of the story, the author tells us something about her mother and herself. She says, "We reacted in what was to become a pattern for us: what frightened her I became curious about, and what she found exciting terrified me." What is most likely inferred from this statement?
Question 3 options:
Neither of them has much curiosity about the world.
They have opposite reactions to things.
They liked to terrify one another.
They are both afraid of the same things.
If you get the right answer id do another for 179 points
Answer:
B
Step-by-step explanation:
Four more than eight times a number is eighteen.
Translate the verbal phrase into a mathematics.
Find measure of the angle - Please help for a test review today!!!
Answer:
same side interior angles
and we have parallel lines so
x+17+x+117=180°
A: There there are two pencils boxes in a desk for their own purposes in a drawer then total number of pencils in the drawer is more than 14 how many passes are in each drawer
B:
event is being built in the shape of a isosceles triangle the fence needs to be at least 14 yards long the length of the unequal sides of the triangle is 4 yards what is the length of each equal side
C: Sheyla is older than 14 years old. her brother Tom is 4 years old. Sheyla also has twin sisters, Diana and Briana. how old is each of the twin sisters.
D:a total of 14 students are being split into three teams team one has four students vs. students are split into two teams in three how many students are in each of two and three
Answer:
C
Step-by-step explanation:
I got it right
Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning. Write the equation for the given situation in its simplest form. a y= 10x+2 b y=1/5x c y=2x+10 d y=5x
Answer:
y = 1/5x
Step-by-step explanation:
Here, we have a direct relationship between the distance from lightning and the time it takes to hear thunder
Let the distance from lightning be y and the time it takes to hear thunder be x
If k is the proportionality constant, then;
y = kx
Now, let’s calculate k , given x 10 seconds and y = 2 miles
2 = 10k
k = 2/10 = 1/5
So the equation for the given situation is;
y = 1/5x
Walter purchased a 2010 model sedan for $24,000. The dealership offered him a $199/month payment plan for 48 months, at the end of which the unpaid balance will be due. If the interest rate is 6%, find the total cost of this vehicle, including the balloon payment.
Answer:
199x48 = 9552
24000-9552=14448
14448 x- 6% = 866.88
14448+866.88= 15314.88
The overall payment is 24000+6%
Step-by-step explanation:
The total cost of the vehicle is $29760
What is Interest Rate ?The % at which a loan is given or the % at which your investment will give return is the Interest Rate.
It is given that
Walter purchased a 2010 model sedan for $24,000.
The dealership offered him a $199/month payment plan for 48 months,
Principal = $24000
Rate = 6%
Time =48 months = 4 years
The Simple interest =
24000 * 6 * 4 / 100
Interest = $5760
The payment done in 48 moths is
199 * 48 = $9552
The balloon payment due at the end of 48 months is 24000 + 5760 - 9552 = $20208
The total cost of the vehicle is $ 24000+ 5760 = $29760.
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HELP ME PLEASE?? THIS IS DUE TOMORROW AND I WANT THERE FOR THAT CLASS!!!
In which of these situations do the quantities combine to make 0?
A. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive
B. A rock climber goes 40 feet down into a valley. She then goes 40 feet up a cliff o C. Glenn spends $8 on a tutor, and then he spends $8 on a new book
D. A player in a game earns 5 points for getting an answer right. She then earns 5 points for making it around the board
Answer:
b
Step-by-step explanation:
only one that makes sense lol. a is only losing half 10-5= 5. c is spending $8 twicce so it goes to -$16. d earns 10 points
Plz help! Question is below!
Answer:
B
Step-by-step explanation:
