Answer:
The parts are 27 cm and 64 cm long.
Step-by-step explanation:
Let the shorter part be x.
"The longer part is 10 cm more than twice as long as the shorter part."
shorter part: x
longer part: 2x + 10
total length: x + 2x + 10
total length: 91
x + 2x + 10 = 91
3x + 10 = 91
3x = 81
x = 27
2x + 10 = 2(27) + 10 = 54 + 10 = 64
Answer: The parts are 27 cm and 64 cm long.
Tessa works for the park service in her town. She paid $21 for 3/4ton of wood chips to cover flower beds in the park. She want to know the cost of the wood chips on dollars per ton. What is the price per ton?
Answer:28
Step-by-step explanation:
The cost of the wood chips on dollars per ton is $28.
Given that, Tessa paid $21 for 3/4 ton of wood chips to cover flower beds in the park.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Let the cost of the wood chips on dollars per ton be x.
Now, the cost of the wood chips on dollars per ton = Cost of 3/4 ton of wood chips to cover flower beds in the park ÷ 3/4
x = 21 ÷ 3/4
= 21 × 4/3
= 28
Therefore, the cost of the wood chips on dollars per ton is $28.
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Is 3x + 3x 2= 6x 3 ? Explain.
Answer:
No
Step-by-step explanation:
It is not, because we can only add the terms that contain x of the same order.
For x to be grouped with x 2 resulting in x 3 the terms would have to be multiplying
In this case they are grouped
x * x 2 = x 3
In this case they are not grouped
x + x 2 = x + x 2
Write the ratio 7/8 in two different forms
Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 .
Answer:
Answer:
AB=4
Step-by-step explanation:
Answer:
AB=4
Step-by-step explanation:
1. Since you are finding the intersection points of two parabolas:
a. y=-x²+9
b. y=2x²-3
2. You have to set them equal to each other:
2x²-3= - x²+9
2x²+x=9+3
3x²=12
x²=4
This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.
√x²=±√4
x=±2
or
x=2; x=-2
3. Then you substitute them into each equation. For this step, any sign 2 will work.
a. y=-(2)²+9
y=-4+9
y=5
b. y=2(2)²-3
y=8-3
y=5
4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.
5. Now we use the distance formula:
The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.
=
√16=
4
The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.
So AB=4
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
With this, we will found that the distance between A and B is: 4 units.
The first thing we need to do is find A and B.
We know that the points are the intersection between the two parabolas.
y = -x^2 + 9
y = 2*x^2 - 3
The intersection is given by the zeros of the difference:
(2*x^2 - 3) - (-x^2 + 9) = 0
3*x^2 -12 = 0
3*x^2 = 12
x^2 = 12/3 = 4
x = √4 = ±2
To find the points, we need to evaluate one of the parabolas in these two x-values.
Let's use the first one:
y = -(2)^2 + 9 = 5
So we have the point (2, 5)
For the other point:
y = -(-2)^2 + 9 = 5
So we have the point (-2, 5)
Then we can define:
A = (2, 5)
B = (-2, 5)
Using the distance equation we get:
[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]
The distance between A and B is 4.
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4465/1000 in simplest form?
Answer:
893/200
Step-by-step explanation:
The GCM (greatest common factor) is 5
Divide both the numerator and denominator by 5
4465/5 = 893
1000/5=200
So the answer is 893/200
Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.
35 cm to 1 km
1 mm to 150 km
1 mm to 500 m
5 mm to 2.5 km
3 cm to 15 km
Answer:
E; 3cm to 15km
Step-by-step explanation:
1cm to 5km
NOT A:
35cm to 1km
×5
175cm to 5km
NOT B:
1mm to 150km
÷ 30
1/30mm to 5km
NOT C:
1mm to 500m
× 10
10mm to 5km
NOT D:
5mm to 2.5 km
× 2
10mm to 5km
E:
3cm to 15km
÷ 3
1cm to 5km
CAN SOMEONE PLEASE HELP. SEGMENTS GEOMETRY
There are nine water bottles in Devin's refrigerator. He adds three full boxes of water bottles to the refrigerator. Then he adds two more boxes that each has 1 fewer bottle than a full box. When he is done, there are 67 bottles in the refrigerator. Write and solve an equation to find the number of bottles in a full box.
Write the equation.
Answer:
There are 12 bottles of water in a full pack.
Step-by-step explanation:
look at screen shot for answer.
Rajeev has three times the number of oranges as
Sanjeev. Together, they have 28 oranges.
How many oranges does Sanjeev have?
Answer:
7
Step-by-step explanation:
let sanjeevs no of oranges be x
rajeevs no of oranges=3x
total=4x=28
x=28/4
=7
sanjeevs oranges=7
while rajeevs oranges=3*7
=21
Which of these numbers rounds to 7.6? 7.546 7.630 7.670 7.720
Answer:
Step-by-step explanation:
only 7.630 round to 7.6
2. A line or line segment perpendicular to a line segment at the midpoint of the segment is a...
Answer:
A segment is called a perpendicular bisector of another segment if it goes through the midpoint and is perpendicular to the segment. While there can be many segments that bisect another segment, only one segment can be the perpendicular bisector.
Step-by-step explanation:
perpendicular bisector
(p- 11p' + 17p2 + 2p - 6) = (p – 2)
Answer:
p=(9+\sqrt(353))/(34),(9-\sqrt(353))/(34)
Step-by-step explanation:
‼️please help‼️ Find the coordinates of R if N(8,-3) is the midpoint of RS and S has coordinates (-1,5)
Answer:
(17, -11)
Step-by-step explanation:
Please see the attached picture for full solution.
f(x) = 3(x-4)2-2
Pls help me solve
Answer:
x = 13/3
Step-by-step explanation:
Solve for x:
3×2 (x - 4) - 2 = 0
Hint: | Multiply 3 and 2 together.
3×2 = 6:
6 (x - 4) - 2 = 0
Hint: | Distribute 6 over x - 4.
6 (x - 4) = 6 x - 24:
6 x - 24 - 2 = 0
Hint: | Group like terms in 6 x - 24 - 2.
Grouping like terms, 6 x - 24 - 2 = 6 x + (-24 - 2):
6 x + (-24 - 2) = 0
Hint: | Evaluate -24 - 2.
-24 - 2 = -26:
6 x + -26 = 0
Hint: | Isolate terms with x to the left hand side.
Add 26 to both sides:
6 x + (26 - 26) = 26
Hint: | Look for the difference of two identical terms.
26 - 26 = 0:
6 x = 26
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 6 x = 26 by 6:
(6 x)/6 = 26/6
Hint: | Any nonzero number divided by itself is one.
6/6 = 1:
x = 26/6
Hint: | Reduce 26/6 to lowest terms. Start by finding the GCD of 26 and 6.
The gcd of 26 and 6 is 2, so 26/6 = (2×13)/(2×3) = 2/2×13/3 = 13/3:
Answer:x = 13/3
x + x + 1 + 2 = 48?
Step-by-step explanation:
x + x + 3 = 48
2x = 48 - 3
2x = 45
x = 45/2
Answer:
x = 45/2
Step-by-step explanation:
x+x+1+2 = 48
combine like terms
2x + 3 = 48
2x - 3 = -3
2x = 45
2x/2 = 45/2
x = 45/2
What is (2a^3 b^4 c^3)^2 • (4a^2 bc^3)
Answer:16 a 8 9 c 9
Step-by-step explanation:
If he watches all the movies that are 1 3/4 hours long how long will it take
Compare the process of solving
|x - 1 + 1 < 15 to that of solving
1x – 1| + 1 > 15.
Answer:
x-1+1<15; this gonna be x<15 and 1x-1+1>15 this is gonna be the same
Step-by-step explanation:
Graph the line
y-3x= 3
A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round y
answers.
Answer: The car is going 1.55 miles per minute.
Step-by-step explanation: Since there are 60 minutes in an hour, and the car is going 93 mph, you would simply divide 93 by 60.
The car's rate in miles per minute is 1.55 miles.
The car will travel 23.25 miles in 15 minutes.
What is Speed- Distance Formula?Speed = Distance/Time Distance = Speed X TimeTime = Distance / SpeedGiven:
A car is traveling at a rate of 93 miles per hour.
In 60 minutes the car travel = 93 miles
So, In one minutes the car travels = 93 /60
= 1.55 miles
and, In 15 minutes the car travel = 1.55 x 15
= 23.25miles
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If p(x) = 5(22 +1) + 16, what is the value of p(11)? O A. 690 O B. 736 O C. 622 O D. 626
Answer: 626
Step-by-step explanation:
Maggie owes the candy store $35. Each of 5 friends will help her pay off her debt. How much will each friend pay?
Answer: $5
Step-by-step explanation:
1)Take the total amount of money divided by the number of friend like this:
35/5
2)You should get $5 which is the amount of money that each friend will have to pay.
Answer:
5
Step-by-step explanation:
$35 divided by 5 friends = $5 per person
If m = 2 and b =-6, what is the correct slope intercept equation?
Answer:
y=3x+6
Step-by-step explanation:
Which number has a 3 that is 10 times greater than the 3 in 513?
Answer:
30
Step-by-step explanation:
The 3 in "513" is only 3. it's 1, 2, 3. If we do 3 x 10 it's 30.
3 x 10 = 30.
"times greater" means multiplication if you were confused about it.
Hope this helps! Have a nice day!
Place values are used to represent the value of digits in a given number. The number that has a 3 that is 10 times greater is 30.
Given that:
[tex]Number = 513[/tex]
We make the following observations in 513
513 does not have decimalsThe 3 in 513 is the rightmost digit.The rightmost digit in a non-decimal number is the unit digit. So, the value of 3 in 513 is:
[tex]Value = 3 \times unit[/tex]
Unit means 1. So:
[tex]Value = 3 \times 1[/tex]
[tex]Value = 3[/tex]
So, the value of 3 in 513 is 3.
Let the other number be x.
x is 10 times greater than 3 means that:
[tex]x = 10 \times 3[/tex]
[tex]x = 30[/tex]
Hence, the number is 30
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The expression (x16)(x−5)2 is equivalent to xn. What is the value of n? -160 42 13 6
Answer:
160
Step-by-step explanation:
Just add lol fjfjfjfjjd
You pay $30 each month for satellite TV, plus $2.50 for every movie you purchase. Write and solve an equation to find the number of movies purchased during a month with a total bill of $45. What is it in an equation and how many movies do you purchase. Im on a timed thing so please be speedy
Answer:
6 movies
Step-by-step explanation:
45-30=15 spent on movies
divide the 15 by 2.5 to get 6.
$30+$2.50m=$45
where m is the amount of movies
Answer:
let he purchaseed x movies
30 + 2.5x = 45
or 2.5x = 15
x=15/2.5 =6
Step-by-step explanation:
Solve the equation
6 - ( 3 - c ) = 2
Answer:
c = -1
Step-by-step explanation:
6 - (3 - c) = 2
6 - 3 + -(-c) = 2
3 + c = 2
c = 2 - 3
c = -1
Check:
6 -(3-(-1)) = 2
6 - (3+1) = 2
6 - 4 = 2
Answer:
C=-1
Hope this helped! :) if it was correct please give me brainliest!
can someone help me answer this
Answer:
8m + 5/m -10 m^2
Step-by-step explanation:
24m^4 / 3m^3 = 8m
15m^2 / 3m^3 = 5/m
- 30m^5 / 3m^3 = -10m^2
Putting these back together
8m + 5/m -10 m^2
Solve for x.
[tex] - 2(6 + x) = 18 - 3x[/tex]
x = [?]
if f(x)=2x+5 and g(x)=x+3, write an expression that is equivalent (f g)(x)