Answer:
[tex]\huge\boxed{\frac{2}{15} \text{ yards}}[/tex]
Step-by-step explanation:
We have a board that is [tex]\frac{2}{3}[/tex] yards long. If we want to cut the board into 5 equal pieces, we must divide [tex]\frac{2}{3}[/tex] by 5.
[tex]\frac{2}{3} \div 5[/tex]
5 is the same thing as [tex]\frac{5}{1}[/tex], so:
[tex]\frac{2}{3} \div \frac{5}{1}[/tex]
To divide a fraction by a fraction, we multiply by the reciprocal. This means we take the reciprocal of [tex]\frac{5}{1}[/tex] and multiply the two fractions.
The reciprocal of [tex]\frac{5}{1}[/tex] is [tex]\frac{1}{5}[/tex] - we swap the numerator and denominator.
[tex]\frac{2}{3} \cdot \frac{1}{5}[/tex]
Multiply the numerator and denominators to get our final fraction:
[tex]2\cdot 1 = 2\\3 \cdot 5 = 15\\\\\frac{2}{15}[/tex]
Hope this helped!
The freshmen class is selling roses to raise money.
They purchased 500 roses and paid a delivery fee of
$15. The total cost, including the delivery fee, was
$1015. What was the cost of each rose?
Equation:
Example problem: Name thex and y intercepts for y=-2x + 1
x-intercept 0= -2x +1 y intercept y = -2(0)+1
-1 = -2x
y= 1
0.5 = x
Find the x and y intercepts for y = 8x-4
O x=8, y = 4
x = 0.5, y = -4
O x=2,y=-4
O x= -4, y = 8
Step-by-step explanation:
for x=8,y=4
4=8x-4
8x=4+4
8x=8
x=1
y=8 (8)-4
y=64-4
y=60
for x=0.5, y= -4
-4=8x-4
8x= -4+4
8x=0
x=0
y=8 (0.5)-4
y=4-4
y=0
for x=2,y=-4
-4=8x-4
8x=4-4
8x=0
x=0
y=8 (2)-4
y=16-4
y=12
for x= -4,y=8
8=8x-4
8x=8+4
8x=12
x=1.5
y=8 (-4)-4
y= -32-4
y= -36
6.025 (25 is repeating) as a mixed number
Answer:
6.025 as a mixed number is 6 1/40
Answer:
6 1/40
Step-by-step explanation:
Since 0.25 = 1/4, 0.025 = 1/40.
4.
Tara bakes 225 cookies in 5 hours, and she uses 8 pounds of sugar. She divides 225 by 5 to get a rate of 45. Which of the following corresponds to this rate?
A cookies per pound
B. O pounds per hour
c. cookies per hour
D. hours per cookie
Answer:
c
Step-by-step explanation: Cookies per hour because if you divide the amount of cookies by the time it took to make them what your gonna get out of it is the amount of cookies baked per hour.
The rate 45 corresponds to cookies per hour.
What is Rate?Rate is defined as the ratio of two different quantities with different units. Ratio of two different quantities with the denominator equals 1 is called unit rate.
Unit rate, on the other hand can be defined as the amount of one quantity in a single unit of the other quantity.
For example, speed is the unit rate of distance and time.
Number of cookies Tara bakes in 5 hours is given as 225.
When 225 is divided by 5 to get a rate of 45, we are actually dividing the number of cookies with time to get how many cookies can be made in 1 hour.
So a rate of 45 implies that 45 cookies are baked by Tara in a single hour, which is the unit rate.
This means that this rate means cookies per hour.
Hence, the rate 45 corresponds to cookies per hour.
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Can someone help me with this?...Please!
Answer:I dont see the problex
Step-by-step explanation:
thanks for the points
The diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the other.
Explain why segments AC, CB, BD, and AD are all the same length.
All the segments AC, CB, BD, and AD are same in length because all are radiuses of the circles which have same dimensions.
What is a radius?Radius is the distance between circle center point and the point at its circumference.
In the given problem,
AC and AD are clearly the radiuses of the circle whose center is at point A (say first circle). Therefore these must be equal in length.
AC = AD
Similarly, BC and BD are the radiuses of the circle whose center is at point B (say second circle) . Therefore these are also equal in length.
BC = BD
Now you can observe that the first circle has a radius AB also which is equal to the radius of second circle i.e., BA.
∴ Both the circles has same radius length.
and
∴AC = AD = CB = BD
Hence all the segments which are nothing but the radiuses of both the circles must be equal.
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What are the 2 steps to solve this equation, 2x + 4 = 10.
3. The mall was holding a costume contest for pet owners of the animals were dogs,
were cats. How would you find the fraction that were neither cats nor dogs?
and
add the fraction of dogs and cats together
subtract the fraction of dogs from the fraction of cats
o
add both fractions together and subtract from 1
o
subtract the two fractions first then subtract total from 1
CLEAR ALL
< PREVIOUS
2
O
5
0
о
10
Answer:
I beleive that the answer is C.
Step-by-step explanation:
I am doing that same unit test in 7th grade at Nolan Middle.
Multiply for the following polynomial (y-8) (y+5) with the work included.
Answer:
40y
Step-by-step explanation:
y x -8=8y
y+5=5y
8y x 5y= 40y
Mrs. Moore walks 3 miles in one hour. How far does mrs.moore walk in 20 minutes?
A- 3 miles
B- 45 miles
C- 18 miles
D- 1 mile
Answer: D - 1 mile
Step-by-step explanation:
she walks 3 miles per hour -- one hour is equal to 60 minutes, and there are three 20s in 60. one mile per 20 = 60 (because 20*3=60) and so in 20 minutes she could walk 1 mile.
The product of three consecutive
numbers CANNOT be:
A 210
B. 336
C. 560
D. 1716
Answer:
The answer is C
Step-by-step explanation:
Which of the following functions is graphed below?
Answer:
Opinion C
Step-by-step explanation:
hope that will help you
Answer:
a
Step-by-step explanation:
please help meeee! please
Answer:
A) 48.8
Step-by-step explanation:
the mean is: sum of all terms divided by number of terms
49 + 37 + 41 + 54 + 63= 244
244/ 5= 48.8
Once a large pink ribbon, the sign of the fight against breast cancer, was erected out of pink post-it notes on a billboard. If the area of the rectangular billboard covered by the ribbon was approximately square feet, and the width of the billboard was approximately feet, what was the height of this billboard?
The height of the billboard is 70 feet.
Given that,
the area of the rectangular billboard covered by the ribbon was 4,060 approximately square feet, and the width of the billboard was 58 approximately feet.Calculation:[tex]Area = width \times height\\\\4060 = 58 \times height\\So, height = 4060 \div 58[/tex]
= 70 feet
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(3n4 + 6n + 6n)– (n+4n4 + 7n)
Answer:
-n⁴ + 4n
Step-by-step explanation:
Step 1: Write expression
(3n⁴ + 6n + 6n) - (n + 4n⁴ + 7n)
Step 2: Combine like terms
3n⁴ + 12n - (4n⁴ + 8n)
Step 3: Distribute -1
3n⁴ + 12n - 4n⁴ - 8n
Step 4: Combine like terms
-n⁴ + 4n
Given ∠2 and ∠4 are vertical angles.
Prove ∠2 ≅ ∠4
A proof is a set of logical statements that show that a statement is rational and true. See the proof for the above statement below.
What is the proof that ∠2 ≅ ∠4?Given ∠2 and ∠3 make a linear pair hence,
∠2 + ∠3 = 180
∠3 = 180 - ∠2....................1
Again ∠3 and ∠ translate to a linear pair. Hence
∠ 3 + ∠4 = 180, thus
∠3 = 180 - ∠4 .........................2
Drawing from 1 and 2, we get
180 - ∠2 = 180 -∠4 [Remove 180 from both sides]
⇒ -∠2 = -∠4
or ∠2 = ∠4
Thus, we have proven that ∠ and ∠4 are congruent angles.
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Answer: View picture below!
Step-by-step explanation: Just did it!
Help plz ASAPPPP. The picture of the problem is down below. I need help. I'll give you 16 points to answer question
Answer:
evaluate 1.4 · 0.32
Step-by-step explanation:
Is -4 greater than-8
Answer:
the answer is yes
Answer:
Yes, it is greater because the higher a negative number is the less the value. If that makes sense.
Step-by-step explanation:
A sports and entertainment center has 4/5 of its total area devoted to seating. These seats are for either general admission or reserved seating. If 2/9 of the total area is
used for general admission seating, find the fraction of the total area used for reserved seating.
Answer:
Simplify the expression.
Exact Form:
8
---
45
Decimal Form:
0.17
please help I’m timed
Answer:
AA5
Step-by-step explanation:
what is - 1/2 x - 3 = 4
Answer:
is it a negative 1/2 if so the answer is 4
Step-by-step explanation:
you multiply -1/2 times a negative 3 u would get a positive 3/2=4
please please help me i can’t figure this out .. ernest's friend rolls a six-sided number cube and lands on square 8. She asks Ernest to guess what number she rolled. He guesses that she rolled a 3. She says he's wrong.
ernest wonders if she could have rolled a number other than 3. Use a mapping diagram to help guess what number she rolled.
If she would have rolled
Create a Mapping Diagram
When playing this game, the square you land on during the first turn depends on the number you roll. You can write this as a function: SQUARE(number), or S(n). For example, if you roll a 2, you end up on square 2 (when you land on 3 you move back a space). So S(2) = 2.
1. Describe the possible inputs of S(n) using words. (2 points: 1 point for the description, 1 point for the list of numbers)
2. Describe the possible outputs of S(n) using words. (1 point)
3. Draw a mapping diagram for S(n) that maps all the possible inputs and outputs for a player's first turn. Note that the player should begin on square 1. (6 points: 3 points for the inputs and outputs, and 3 points for the mapping)
4. In the mapping diagram you created, what numbers are in the domain of S(n)? Explain what this means. (2 points: 1 point for the domain, 1 point for the explanation)
5. What numbers are in the range of S(n)? Explain what this means. (2 points: 1 point for the range, 1 point for the explanation)
Evaluate the Conjecture
6. Based on the mapping diagram, is it possible that the player rolled a number other than 3 to land on square 8? If so, which number or numbers? Explain your answer. (2 points: 1 point for the answer, and 1 point for the explanation)
Defining Functions
7. Does the mapping diagram you created for S(n) for the first turn of the game represent a function? Why or why not? (2 points: 1 point for the answer, and 1 point for the explanation)
Answer:
1. The values of the dice. It can be 1,2,3,4,5,6.
2. Values in which you don’t move on the map. 2,5,6,11,14,15
3. inputs: 1,2,3,4,5,6
outputs: 2,2,8,5,6,8
4. Domain numbers are 1,2,3,4,5,6.
5. Range numbers are 2,2,8,5,6,8.
6.) The player could have rolled a 3 or a 6. Based on the chart, if they rolled a three they could land on a 8 and if they rolled a 6 they would have to move up a space.
7. The mapping diagram does represent a function because it tells how the numbers depend on each other.
Step-by-step explanation:
Determine the difference between 6x2 + 3x - 8 and x2-3x + 4
Answer:
5x²+6x-12
Step-by-step explanation:
Difference means subtract
(6x²+3x-8)-(x²-3x+4)
5x²+6x-12
2-1
i need answer for this asappppppppppppppppppppppppppppppppppppp
Answer:
2-1 = 1
Step-by-step explanation:
Hopefully help......
Answer:
1
Step-by-step explanation:
say you have two apples, if you eat one, it subtracts one from the whole (2) and leaves you with one apple!1!!
i—
3 | 2x – 3| -5 = 4
Absolute value equations
Answer:
3
Step-by-step explanation:
3 |2x -3| -5=43 |2x -3| =4+52x-3=9÷32x=3+3x=6÷2x=3Compare and order the decimals from least to greatest. 1.02 1.009 0.89 1.1 1.017
Answer:
0.89,1.009,1.017,1.02,1.1
answer attachment EASY POINTS
Answer:
[tex]z=\frac{at-67}{45+a}[/tex]
Step-by-step explanation:
Step 1: Write out equation
a(t + z) = 45z + 67
Step 2: Distribute a
at + az = 45z + 67
Step 3: Subtract 67 on both sides
at + az - 67 = 45z
Step 4: Subtract az on both sides
at - 67 = 45z + az
Step 5: Factor out z
at - 67 = z(45 + a)
Step 6: Divide both sides by 45 + a
[tex]z=\frac{at-67}{45+a}[/tex]
Answer:
Step 1: Write out equation
a(t + z) = 45z + 67
Step 2: Distribute a
at + az = 45z + 67
Step 3: Subtract 67 on both sides
at + az - 67 = 45z
Step 4: Subtract az on both sides
at - 67 = 45z + az
Step 5: Factor out z
at - 67 = z(45 + a)
Step 6: Divide both sides by 45 + a
Step-by-step explanation:
The formula P=c+m can be used to determine price P of an
item that costs c cents and a markup of m cents. The markup on a
can of juice is 25 cents. What is an equivalent version of this
Formula solved for c?
Answer:
c = P-25Step-by-step explanation:
Given the formula P = c+m which is used to determine price P of an item that costs c cents and a markup of m cents. To get the value of c, we will make c the subject of the formula;
P = c+m
subtract m from both sides
P-m = c+m-m
P-m = c
c = P-m
Given the price of mark up on a can of juice to be 25 cents, we will substitute m = 25 into the resulting expression as shown;
c = P-25
Hence the equivalent version of this formula solved for c is c = P-25
A building is 1450ft tall. How many meters tall is the building ? Use the fact that 1m = 3.28ft
Answer:
441.96
Step-by-step explanation: divide 1450 by 3.28
-9z+2=11 could someone answer this and explain and also check it thx ill mark brainlest
Answer:
z = -1
Step-by-step explanation:
Subtract 2 on both sides
[tex]-9z = 9[/tex]
Divide by -9 on both sides
[tex]z=-1[/tex]
Answer:
z = -1
Step-by-step explanation:
First, subtract 2 from both sides of the equation which will give you -9z = 9Then divided by -9 on both sides of the equation which will give you z= -1z=-1 is the answer!