Nick has two pieces of twine.One 20 feet long and the other one 12 feet long.If he wants cut them up to produce many pieces of twine that are all of the same length with no twine left over what is the greatest length in feet that he can make them?
Answer:
The greatest length in feet the twines can be cut into with no twine left over is 4 feet
Step-by-step explanation:
To determine the greatest length a 20 feet long twine and a 12 feet long twine can be cut into such that the pieces are of the same length and no twine is left over, we will find the highest number that can be used to divide 20 and 12 with no remainder. Hence, we will find the Highest common factor (HCF) of 20 and 12.
Factors of 20 are: 1,2,4,5,10, and 20
and the factors of 12 are: 1,2,3,4,6, and 12
The highest common factors of 20 and 12 is 4.
Hence, the greatest length in feet the twines can be cut into with no twine left over is 4 feet.
Given: line A is parallel to line B. What is the measure of angle 1?
Angle 1 = (x - 13)
Angle 2 = (6x + 18)
Answer:
19.2
Step-by-step explanation:
what is a negative number that is greater than negative 10
Answer: -5 , -3
Step-by-step explanation:
At a baseball game, 84% of people attending were supporting the home team, while 16% were supporting the visiting team. If the total number of people attending the game was 2700, how many people attending were supporters of the home team?
Answer:
2268 persons
Step-by-step explanation:
Persons supporting home team
=84/100 × 2700
=2268 persons
Answer:
2268
Step-by-step explanation:
f(n)=2n + 4 find the inveres
Answer:
y = 1/2x - 2 OR f(n)= 1/2n - 2
Step-by-step explanation:
Start by rewriting with X and Y just for ease:
Swap X and Y's places
Solve for Y
y = 2x+4
x = 2y+ 4
x - 4 = 2y
1/2x - 2 = y
What is an equation of the line that passes through the points (-3, -1)(and (-4, -4)? Put your answer in fully reduced form.
Answer:
y=3x+8
Step-by-step explanation:
m=3
y-(-1)=3(x-(-3))
y+1=3x+9
y=3x+8
The equation of the line passes through the point (-3, -1)(and (-4, -4) is y=3x+8.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that line passes through the points (-3, -1)(and (-4, -4)
The slope will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -4 + 1 ) / ( -4 + 3 )
Slope = 3
The y-intercept is calculated as,
y = 3x + c
-1 = 3 x -3 + c
c = 8
The equation of the line will be,
y=3x+8
To know more about an equation of the line follow
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help me solve the problem it 2 problems they all in together
Answer:
x = 10
x = 27
Step-by-step explanation:
53 and 5x + 3 are vertical angles.
vertical angles are equal.
using that, you can make this equation:
53 = 5x + 3
subtract 3 from both sides of the equation
53 - 3 = 5x + 3 - 3
50 = 5x
divide both sides of the equation by 5
50/5 = 5x/5
10 = x
82 and 3x + 1 are vertical angles.
vertical angles are equal.
using that, you can make this equation:
82 = 3x + 1
subtract 1 from both sides of the equation
82 - 1 = 3x
81 = 3x
divide both sides of the equation by 3
81/3 = 3x/3
27 = x
Maria's fish tank has 16 liters of water in it. She plans to add 6 liters per minute until the tank has more than 64 liters. What are the possible numbers of minutes Maria could add water?
Answer:
8 minutes
Step-by-step explanation:
choose the equation that represents the graph below:
PLEASE HELP, DUE SOON!!
Answer:
Always pay attention in class to know the answer. okay shawtie. Always stay positive.❤
According to Teo's bread recipe, he should bake the bread at ° for 30 minutes. His oven measures temperature in °F. To what temperature, in °, should he set his oven? Rewrite the formula C= 59 F-32 to find the Fahrenheit temperature that is equal to °C.
Answer:
[tex]F = \frac{9}{5}(C + 32)[/tex]
Step-by-step explanation:
Given
[tex]C = \frac{5}{9}F - 32[/tex]
First, we need to solve for F
[tex]C = \frac{5}{9}F - 32[/tex]
Add 32 to both sides
[tex]C + 32 = \frac{5}{9}F - 32 + 32[/tex]
[tex]C + 32 = \frac{5}{9}F[/tex]
Multiply both sides by [tex]\frac{9}{5}[/tex]
[tex]\frac{9}{5} * (C + 32) = \frac{5}{9}F * \frac{9}{5}[/tex]
[tex]\frac{9}{5} * (C + 32) = F[/tex]
[tex]F = \frac{9}{5} * (C + 32)[/tex]
[tex]F = \frac{9}{5}(C + 32)[/tex]
Next, is to determine the temperature in degrees Fahrenheit
However, this is not stated the degree Celsius equivalent is not stated in your question.
So, I'll assume a value for it.
Assume that C = 23
Substitute 23 for C in [tex]F = \frac{9}{5}(C + 32)[/tex]
[tex]F = \frac{9}{5}(23+ 32)[/tex]
[tex]F = \frac{9}{5}(55}[/tex]
[tex]F = 9 * 11[/tex]
[tex]F = 99[/tex]
PLEASE! I NEED MAJOR HELP!!
Select the equation that is in Standard Form:
1.) 9x + 5y = 8
2.)9y = 5x + 8
3.)y = 9r + 5
Answer:
3.
Step-by-step explanation:
standard form: y=mx+b
A piece of wood is 2.27 centimeters thick. What is that measurement rounded to the nearest tenth of a centimeter?
Answer:
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Step-by-step explanation:
plz hlep ememmeememeemem me its a math ? need to do it
Answer:
Step-by-step explanation:
slope = M
M= rise / run
rise = Y2-Y1
run = X2 -X1
P1=(X1,Y1) = (3,-3)
P2=(X2,Y2) = (6,9)
M= 9-(-3) / 6-3
M=12 /3
M=4
the slope is 4
a parallel line will have the same slope
a perpendicular line will have an inverse slope or 1/4
Answer:
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Step-by-step explanation:
Use the distributive property to write two equivalent expressions for 6 x 53
Answer:
a. (6 * 50) + (6 * 3)
b. (6 * 40) + (6 * 13)
Step-by-step explanation:
Here, we want to use the distributive property to write equivalent expression .
We can have the given expression as follows;
6 * ( 50 + 3) = (6 * 50) + (6 * 3)
Furthermore, we can write the expression as;
6 * (40 + 13) = (6 * 40) + (6 * 13)
How can you figure out the next number in the pattern below
Answer:
14
Step-by-step explanation: 29-1=28 28-2=26 26-3=23 23-4=19 19-5=14
i hope that helps
Which is the factor of 15xy-45x-6y+18?
Answer:
3 (5 x - 2) (y - 3)
Step-by-step explanation:
Factor the following:
15 x y - 6 y - 45 x + 18
Hint: | Factor out the greatest common divisor of the coefficients of 15 x y - 6 y - 45 x + 18.
Factor 3 out of 15 x y - 6 y - 45 x + 18:
3 (5 x y - 2 y - 15 x + 6)
Hint: | Factor pairs of terms in 5 x y - 2 y - 15 x + 6 by grouping.
Factor terms by grouping. 5 x y - 2 y - 15 x + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):
3 y (5 x - 2) - 3 (5 x - 2)
Hint: | Factor common terms from y (5 x - 2) - 3 (5 x - 2).
Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):
Answer: 3 (5 x - 2) (y - 3)
the equations -5x+6y=-47 and 10x+y=68 intersect at the coordinate (h, k). what is the value of h?
The value of H is 7 and the the value of K is -2.
Emmanuel is starting a cycling training program. He will start cycling a short distance and increase his distance over time. Emmanuel will cycle 5 miles during the first week and increase his distance by 2 miles each week for 12 weeks.
Answer:
29milesStep-by-step explanation:
We can use the equation of a straight line as a concept to solve this problem
that is y=mx+c
at the end of the 12 weeks we can estimate the total distance that Emmanuel must have covered.
Given data.
the total distance is y
the number of weeks is x
and the starting distance is c (based on the equation of line)
starting distance= 5 miles,
increment = 2miles each week
number of weeks =12
substituting we have
y=2(12)+5
y=24+5
y=29miles
the total distance covered after 12 weeks is 29miles
What’s the answer to (10 - 2)3 + 18
Answer:
42
Step-by-step explanation:
Step 1:
( 10 - 2 ) 3 + 18 Equation
Step 2:
8 ( 3 ) + 18 Subtract Parentheses
Step 3:
24 + 18 Multiply
Answer:
42
Hope This Helps :)
1- Choose the correct answer :-
3) Between each two successive integers, there is .......
a) a unique rational number
b) one integer only
c) an infinite number of rational numbers
d) an infinite number of integers
Answer:
The answer is B I think...
PLEASE GIVE ME BRAINLIEST!!!
Is 80/10 equal to -8
Answer: No
Step-by-step explanation: Two positives divided never make a negative
Answer:
No, 80/10 turned into a whole number is 8, not -8.
Step-by-step explanation:
To get a whole (1), you need to have 10/10. Since we have 10/10 8 times (80/10) this means we get a whole number of 8, not -8. Therefore, its false. 80/10 is NOT equal to -8
help me pleaseeee because i don’t understand at all.
Answer:
H
Step-by-step explanation:
What's the green dot on the parabola called?
?
roots
maximum
zero hoy
minimum
Ivan works as a tutor for $8 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 89 hours at his two jobs. Let t be the number of hours Ivan worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.
Answer:
t+623
Step-by-step explanation:
If t is the number of hours Ivan worked as a tutor this month, you can say that the number of hours that Ivan worked as a waiter would be the result of subtracting the amount of hours he worked as a tutor this month from the combined total of hours he worked, which is:
89-t
After this, you can say that the combined total dollar amount Ivan earned this month is the result of adding up what he earned as a tutor plus the amount he earned as a waiter which is equal to 89-t. So, you would have:
8t+7*(89-t)
=8t+623-7t
=t+623
This means that the expression for the combined total dollar amount he earned this month is: t+623
Greg and Alana went out to dinner. Their dinner bill came to $68.89.
If they left a 15% tip, how much did they pay in
total?
Answer:
68.89x1.15
Step-by-step explanation:
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PLEASE HELP WILL AWARD BRAINLIEST IF GOOD EXPLANATION THANK YOU
x varies directly with y and inversely with [tex]z^{2}[/tex]. If x = 3 and y = 12 when z = 2, find y when x = 1 and z = 4.
Answer:
16
Step-by-step explanation:
x∞y/z²
x=ky/z²(where k is the constant)
3=12/2²k
3=12/4k
3=3k
3÷3=k
therefore k=1
x=1y/z²
making y the subject
xz²=y
1(4²)=y
1×16=y
16=y
What’s 0.3 divided by 900
Answer:
3.3333333333333333333333. . . (3.3 rounded to the nearest tenth)
Step-by-step explanation:
Clarissa wants to see Luke Bryan in concert. Tickets cost $54.50 each. She has already saved $25 and is going to save $5 per week from her allowance. The inequality 25 + 5w ≥ 54.50 can be used to determine the number of weeks, w, Clarissa will need to save in order to be able to have at least enough money buy a ticket to the concert. Which statement about the number of weeks that Clarissa has saved is true?
Answer:
The minimum number of weeks Clarissa needs to save is 6 weeks.
Step-by-step explanation:
Clarisaa wants to go to the concert with the luke bryan
Ticket cost=$54.50
Inequality= 25+5w[tex]\geq[/tex] 54.50
upon solving the inequality we get
5w [tex]\geq[/tex] 54.50-25
5w [tex]\geq[/tex] 29.5
w [tex]\geq[/tex] 5.9 = 6weeks approximately
so The minimum number of weeks clarissa needs to save is 6 weeks
A scale drawing of an office space uses a scale of 2 in. : 3 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space?
Answer: The area of the actual office space = 18 sq. yards
Step-by-step explanation:
Formula : Image length = Scale factor x original length
Given: A scale drawing of an office space uses a scale of 2 in. : 3 yd.
i.e. scale factor = [tex]\dfrac23[/tex]
The scale drawing has an area of 12 square inches.
i.e. [tex]\text{12 sq. inches}=\dfrac23\times\text{area of the actual office space }[/tex]
[tex]\Rightarrow\ \text{Area of actual office space}=\dfrac{3}{2}\times12=18\text{ sq. yards}[/tex]
Hence, the area of the actual office space = 18 sq. yards