City hall to post office = 6 1/2 miles
City hall to library site = 1 1/4 miles
library site to post office = unknown. let it be x. 5 1/4 miles
1 1/4 miles + x = 6 1/2 miles
x = 6 1/2 miles - 1 1/4 miles
Find x.
1) convert the mixed fractions into fractions. 6 1/2 = 13/2 ; 1 1/4 = 5/4
x = 13/2 - 5/4
2) get the common denominator. 4 is twice as much as 2. multiply 13/2 by 2/2
13/2 * 2/2 = 26/4
3) Subtract the top numbers and put over the same denominator
x = 26/4 - 5/4 = (26-5) / 4 = 21 / 4
4) simplify the fraction
x = 21/4 = 5 1/4 miles from library site to post office.
Lydia makes 10 pancakes she tops each pancake with for blueberries how many blueberries does Lydia use in all use the break apart and distribute strategy and draw a number bond to solve
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total number of blueberries that Lydia will need is 40 blueberries.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Lydia makes 10 pancakes she tops each pancake with blueberries. Therefore, the total number of blueberries that Lydia will need is,
Total number of blueberries
= Number of pancakes × Number of blueberries used on each pancake
= 10 pancakes × 4 blueberries per pancake
= 40 blueberries
As per the distribution strategy, we can draw 10 circles and then 4 mini circles on each circle to represent blueberries. Therefore, we can make the drawing as shown below.
Hence, the total number of blueberries that Lydia will need is 40 blueberries.
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assembly starts at three o'clock and ends at quarter past three how many minutes does assembly last
How do u get really smart
A baseball team has $1,400 to buy baseball uniforms. Each uniform costs $124. Does the team have enough money to buy 11 baseball uniforms? Use the drop-down menus to explain.
The total cost for 11 uniforms is
1.264
1364
1480
1488
The cost of 11 baseball uniforms will be the multiplication of 11 to 124 which is $1364 thus it is enough to buy the uniforms and the team will be left with $36 so option (B) will be correct.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
Multiplication = to multiply any two or more numbers or variables called multiplication.
As per the given question,
Each uniform costs $124.
Number of uniforms needed to buy = 11
Cost of 11 uniform = 11 × 124 = $1364
The budget $1400 > $1364 therefore it is enough.
Hence "The cost of 11 baseball uniforms will be the multiplication of 11 to 124 which is $1364 thus it is enough to buy the uniforms".
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what does g-7=15 equal to?
what is the radious of a circle with a circumference of 13 ft?
can someone check my answer? also tell me what property I used.
How can you equivalent ratio in order to compare ratios more precisely ?
Xin graphs the equation y= 4x-6. Select all the statements that are true. The graph is a curve line, The line passes through the origin, go on passes through the point(0,6) , The slope of the line is 4 , The Y intercept of the line is -6
Answer:
The slope of the line is 4.
The Y intercept of the line is -6.
Step-by-step explanation:
The slope intercept form of a line is
[tex]y=mx+b[/tex] .... (1)
where, m is slope and b is y-intercept.
The given equation of line is
[tex]y=4x-6[/tex] .... (2)
On comparing (1) and (2) we get
[tex]m=4[/tex]
[tex]b=-6[/tex]
It means the slope of the line is 4 , The Y intercept of the line is -6. the graph of a linear function is a straight line.
The value of y is -6 at x=0, so the line do not passes through the origin.
Therefore, the correct statements are "the slope of the line is 4 and the Y intercept of the line is -6".
The solutions are
The slope of the line is 4
The y-intercept of the line is –6
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y coordinate of second point
y₁ = y coordinate of point one
m = slope
x = x coordinate of second point
x₁ = x coordinate of point one
Given data ,
Let the equation be y = 4x - 6
Now , the equation is of the form y = mx + b where m is the slope and b is the y-intercept
Therefore , the slope of the equation is m = 4
And the y intercept is -6
Hence ,
The slope of the line and the y-intercept of the line is –6
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Is this graph discrete or continuous
Please help me get this answer right
Daniel's basic cell phone rate each month is $29.95. Add to that $5.95 for voice mail and $2.95 for text messaging. This past month Daniel spent an additional C dollars on long distance. His total bill was $62.35. How much did Daniel spend on long distance?
Answer: Daniel spent $23.5 on long distance
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given.
So, Daniel's total bill (62.35) is equal to the sum of the cost of all the services: Basic cell phone rate (29.95); voice mail (5.95); text messaging (2.95); long distance (C)
Mathematically speaking:
29.95+5.95+2.95+C = 62.35
Solving for C
38.85+C =62.35
C =62.35-38.85
C =$23.5
Daniel spent $23.5 on long distance
Solve the formula for the variable y.
z = 4x + 2y
A. y=z/2+2x
B.y=z/2 -4x
C.y=z/2-2x
D.y=z-2x
what transformation transforms (a,b) to ( a, -b)?
a) a translation of 1 unit down
b)a translation of 1 unit up
c)a reflection over the y-axis
d)a reflection over the x-axis
29,392.46
The 9 in the tens place is blank the value of the thousands place
Last week Mark ran 31 miles more than Jack. Mark ran 46 miles .How many miles did Jack run
On a field trip there were 5 girls for every 8 boys. how many girls attended the 130-student field trip?
what is the place value of the 8 in 0.829?
Which expression is equivalent to the given expression? −(2n−6)
A)−2(n−3)
B)2(n−6)
C)2n−6
D) 2n + 6
Answer:
Option A [tex]-2(n-3)[/tex]
Step-by-step explanation:
we have
[tex]-(2n-6)[/tex]
Eliminate the parenthesis
[tex]-(2n-6)=-2n+6[/tex]
Verify each case
case A) [tex]-2(n-3)[/tex]
[tex]-2(n-3)=-2n+6[/tex]
therefore
[tex]-2n+6=-2n+6[/tex] -----> is true
case A is equivalent to the given expression
case B) [tex]2(n-6)[/tex]
[tex]2(n-6)=2n-12[/tex]
therefore
[tex]-2n+6\neq2n-12[/tex]
case B is not equivalent to the given expression
case C) [tex]2n-6[/tex]
we have that
[tex]-2n+6\neq2n-6[/tex]
therefore
case C is not equivalent to the given expression
case D) [tex]2n+6[/tex]
we have that
[tex]-2n+6\neq2n+6[/tex]
therefore
case D is not equivalent to the given expression
Dara went on vacation to New York City 2012. She bought a $20 pass to ride the subway . Each time she rode the subway it cost her $2.25 . If she rode the subway 7 times , how much money was left on her pass at the end of her trip ?
The area of a rectangle is greater than or equal to 115 square cm. The width of the rectangle is 5 cm and the Length of the rectangle is x cm. Select the possible value of x
Which graph represents the solution set of the system of inequalities?
{3y≤2x+6
{ 2x+y>0 in one bracket
there 12 beads on the bracelet. 8 of the beads are purple. what percent of the beads are purple
There are 12 beads on the bracelet and 8 of the beads are purple. What percent of the beads are purple?
The fraction [tex]\frac{8}{12}[/tex] represents the number of purple beads on the bracelet out of all the beads on the bracelet.
To find what percent of the beads are purple, we can turn the fraction [tex]\frac{8}{12}[/tex] to a percent.
We can first reduce the fraction [tex]\frac{8}{12}[/tex] by dividing both the numerator and denominator by the Greatest Common Factor of 8 and 12 using 4.
8 ÷ 4 = 2
12 ÷ 4 = 3
Our reduced fraction is [tex]\frac{2}{3}[/tex]
2 ÷ 3 = 0.66666666666667
0.66666666666667 × 100 = 66.666666666667%
Therefore, 66.666666666667% of the beads on the bracelet are purple.
A city is paving a bike path. The same length of path is paved everyday. After 4 days, there are 8 miles of path remaining to be paved. After 6 more days, there are 5 miles of path remaining to be paved.
a. Explain how you know the situation can be modeled by a linear equation.
b. Write an equation that gives the distance (in miles) as a function of the number of days since the project began.
c. In how many more days will the entire path be paved?
The linear equation is y = (-3/2)x + 14 and the number of days will be 10 days.
What is a linear equation?It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.
It is given that:
A city is paving a bike path.
The same length of the path is paved every day. After 4 days, there are 8 miles of path remaining to be paved.
After 6 more days, there are 5 miles of path remaining to be paved.
The coordinates are (4, 8) and (6, 5)
The linear equation can be modeled:
[y - 5] = (5-8)/(6-4)[x-6]
y - 5 = -3/2[x - 6]
2y - 10 = -3x + 18
2y = -3x + 28
y = (-3/2)x + 14
Plug y = 0
(-3/2)x + 14 = 0
x = 28/3
x = 9.33 ≈ 10 days
Thus, the linear equation is y = (-3/2)x + 14 and the number of days will be 10 days.
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A crack in a water main pipe leaks 7 gallons of water each hour. What volume of water has moved though the crack after 9 hours?
multiply (x+7) (x-7)
Find the prouduct
3/18 × 7/21
Make a table of ordered pairs for the equation.
y=−13x+4y=−13x+4
Then plot two points to graph the equation.
Solution-
The given equation,
[tex]y=-13x+4[/tex]
Then, we have to calculate two points that satisfy the equation,
Calculating y for x = 0,
[tex]y(0)=-13(0)+4=4[/tex]
So, point (0, 4) satisfies the equation.
Calculating y for x = 1,
[tex]y(1)=-13(1)+4=-13+4=-9[/tex]
So, point (1, -9) satisfies the equation.
Plotting the graph taking this two points, as shown in the attachment.
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A jeweler needed two diamonds of exactly the same weight to make a ring. The first stone she selected weighed 0.642 carat, the second weighed 0.599 carat, and the third weighed 0.625 carat.
By how much did the heaviest stone outweigh the lightest?
0.043 carat
0.042 carat
0.041 carat
0.04 carat
As Mars revolves around the sun, it travels at a speed of approximately
15
miles per second. Convert this speed to miles per minute. At this speed, how many miles will Mars travel in
4
minutes? Do not round your answers.
Final answer:
To convert Mars' speed from 15 miles per second to miles per minute, multiply by 60 to get 900 miles per minute. Multiplying this by 4 gives the distance Mars will travel in 4 minutes, which is 3600 miles.
Explanation:
As Mars revolves around the sun, it travels at a speed of approximately 15 miles per second. To convert this speed to miles per minute, you simply multiply by the number of seconds in a minute:
15 miles/second × 60 seconds/minute = 900 miles per minute.
At this speed, to find out how many miles Mars will travel in 4 minutes, you multiply Mars' speed in miles per minute by the number of minutes:
900 miles/minute × 4 minutes = 3600 miles.
Therefore, Mars will travel 3600 miles in 4 minutes at the speed of 15 miles per second.