Answer:
25.5
Step-by-step explanation:
There are 12 inches in a foot and therefore...
306/12=25.5
306 inches is 25.5 feet
The volume of a room is 640 cubic feet. If the length is 10 feet and the width is 4 feet, find the height
Answer:
16
Step-by-step explanation:
Divide 640 by 40.
[tex]640 = x \times 10 \times 4[/tex]
[tex]640 = 40x[/tex]
Divide both sides by 40
[tex] \frac{640}{40} = \frac{40x}{40} \\ [/tex]
[tex]x = 16[/tex]
Thus the height would be 16 feet .
Using the scale 1/2 inch = 100 miles, figure out the number
of actual miles represented by 1/4 inches.
Answer:
50 miles
Step-by-step explanation:
Multiply the given scale numbers by 1/2 to find your answer:
1/2 in = 100 mi
(1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2
1/4 in = 50 mi
There are 30 kilograms of 10 percent apple juice how much more aplle juice does it need to get to 25 percent?
Answer:
45 kg of apple juice
Step-by-step explanation:
Divide 25% by 10%
The answer you get multiply it by 30
Take the answer you get subtract the 30 kg
Do Now 13.2:
Green light has a frequency of 5.71 x 10' Hz.
Calculate the energy of a green light photon.
(SHOW ALL WORK for FULL CREDIT!)
Answer:
Not Step-by-step explanation:
Not enough info
I need to find the missing angles
What is the slope of the following line?
Answer:
1/2
Step-by-step explanation:
becase 1(0,0) 2(2,1) = 1/2
Carlos can read 30 pages per hour in the 270 page book he is reading. At this rate, how long will it take him to finish his book?
Answer:
9 hours
Step-by-step explanation:
270/30=9
Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by 2 miles per hour. After 5 hours, they are 315 miles apart. What are the rates of the trucks?
Step-by-step explanation:
the slower truck travels x miles in 5 hours.
the faster truck travels x + 5×2 = x + 10 miles in 5 hours.
so,
x + x + 10 = 315 miles
2x = 305 miles
x = 152.5 miles (in 5 hours)
therefore, the slower truck's speed was 30.5 mph.
the faster truck's speed was 30.5 + 2 = 32.5 mph.
If f(x) = 4x − 1 and g(x) = −3x + 2 (a) Find ℎ(x) = f(x) + g(x)
Answer:
x+1
Step-by-step explanation:
4x - 1 + (-3x) + 2 = x + 1
Since 2012, the price of a school lunch at Westown High School has risen at a constant rate. In 2014, the price of a school lunch was $2.25. The price rose to $3.20 by 2019.
Complete the equation that describes the relationship between the price of a school lunch in dollars, P, and the elapsed time in years since 2012,
Write your answer using whole numbers or decimals rounded to the nearest hundredth.
Please help I don’t understand
Answer:
P = 0.14t +2.25
Step-by-step explanation:
The statement that "the price of a school lunch ... has risen at a constant rate" is telling you that the price can be modeled by a linear equation. If P is the price, and t is years after 2012, you are given two points on the line:
(t, P) = (0, 2.25) and (7, 3.20)
You can use these points to find the equation of the line in the usual way.
m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line through (x1, y1) and (x2, y2)
m = (3.20 -2.25)/(7 -0) = 0.95/7 ≈ 0.14
The first point tells you the equation intercept, so the relationship between P and t is ...
y = mx +b . . . . . . . m = slope; b = y-intercept. We're using (t, P) for (x, y).
P = 0.14t +2.25
I really need the answer to this
=============================================
Explanation:
Let point N be at the intersection of the horizontal line and segment JM.
We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.
In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.
So,
JM = JN + NM
JM = NM + NM
JM = 2*NM
JM = 2*7.1
JM = 14.2
Answer:
JM = 14.2
Step-by-step explanation:
Given JK = MK then Δ JKM is isosceles.
The line through K is a perpendicular bisector of JM , so
JM = 2 × 7.1 = 14.2
At Store A, a game system sells for $150.The same system sells for $175 at Store B.Use a ratio to compare the price at Store A to the price at Store B.
Answer:
6:7
Step-by-step explanation:
=store A:store B
=150:175
=6:7
What is the distance between the points (5, 1) and (-3, -5)?
Answer: 10
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10
The price,
P of tickets at a movie theater since it opened in 2001 can be modeled by the linear equation shown, where t is the number of years since 2001. P = 8.75 + 0.35t
What is the meaning of the P
-intercept in this scenario?
the price of a ticket in
2001
the price of a ticket in 2001
the increase in ticket price per year
the increase in ticket price per year
the total number of years the theater has been open
the total number of years the theater has been open
the difference in the price of a ticket in
2001
and the price in
2011
Answer:
B
Step-by-step explanation:
You have to look at the second term to be sure of the meaning of t - 15n
What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.
The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.
C is out of the question. The information talks about 2 dollars per increase which is the first term.
A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)
The answer is B
Robert graded his friend Sam's practice test and a him a 72% Sam checked it again in found that he really made a 80% Robert said relax i only made an error of 8%Is robert correct
Answer:
No
Step-by-step explanation:
Use the formula, difference/original. The difference is 8%. The original is 72%.
The equation would be: 8/72
Which is 1/9
1/9 = 11.1%
So he made a mistake of 11%
Directions- If each quadrilateral below is rectangle, find the missing measures
Answer:
1) 59
2) 31
3) 59
4) 31
5) 31
6) 59
7) 118
8) 62
9) 62
10) 118
11) 31
Step-by-step explanation:
The angle marked 59 degrees is congruent to angles 1, 3, and 6. The angle marked 59 + angle 11 is 90 degrees because the shape is a rectangle, so 90-59=31. Angle 11 is congruent to angles 2, 4, and 5. Now that we know that the triangle on the left has two angles of 59 degrees and that the angle measures of a triangle add to 180, 59+59=118 and 180-118=62, so angle 9 is 62 degrees. Angles 8 and 9 are vertical angles and therefore are congruent. To find angles 10 and 7, we can use the same method: angles 4 and 5 are both 31 degrees, 31+31=62, so we subtract 62 from 180 to get 118. Angles 7 and 10 are also vertical angles, so they are both 118 degrees. I hope this helps!
Can someone help me out with this?
Answer:
-7.5x -12.5, x < -17.5x +2.5, x ≥ -1Step-by-step explanation:
The absolute value function changes slope at its vertex. Here, that vertex is translated to x = -1. To the left of that point, the function is equivalent to one that negates its argument:
|x| = -x . . . for x < 0
|x| = x . . . for x ≥ 0
for (x+1) < 0
y = -7.5(x +1) -5 = -7.5x -12.5
for (x+1) ≥ 0
y = 7.5(x +1) -5 = 7.5x +2.5
This means we can write the piecewise function as ...
[tex]y=\begin{cases}-7.5x-12.5,&\text{if }x<-1\\7.5x+2.5,&\text{if }x\ge-1\end{cases}[/tex]
A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?
Answer:
a = 8
Step-by-step explanation:
First find the equation of line using
y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1
y-1=7(x-(-6))
y-1=7x+42
y=7x+43
now let x be -5 to find y which is a
y=7(-5)+43
y=-35+43
y=8
so a = 8
Write an equation of the line that passes through (0, 6) and is parallel to y=5x-3
Y=
Answer:The answer should be y = 5x + 6
Step-by-step explanation:
When finding ratios, did it matter whether you used the values for 3 lawns mowed or the values of 4 lawns mowed?
A type of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
Find a mixture that will make the different shade of green that is more yellow.
Answer:
Use 1.75 cups of blue and 1 cup of yellow
Step-by-step explanation:
The given problem can be placed in the category of ratios and proportions. There is a ratio of color mixing which contains the proportion of two colors i.e blue and yellow. When we use 2 cups of yellow with 3.5 cups of yellow then we get green color so if we mix half of their amounts then we can get less or simply half amount of color too. Hence adding 1 cup of yellow and 1.75 cup of blue will give us small amount in result.
I hope this helps have a great day :)
6÷4(7+8)= 8-6(4+9)= 4÷8(9+3)=
Answer:
6÷4(7+8) = 22,58-6(4+9)= 264÷8(9+3)= 6Step-by-step explanation:
6÷4(7+8)= 6÷4(15)= 1,5 × 15= 22,58-6(4+9)= 8-6(13)= 2 × 13= 26 4÷8(9+3)= 4÷8(12)= 0,5 × 12= 6Who can help me on this? NEED OF HELP!
Answer:
25+25 = 50
sum means +
Integers are positive and negative numbers, no decimals or fractions though
(-3x+4)+(x-9) help please.
Answer:
- 1 · (2×±5)Step-by-step explanation:
Answer:
−2−5
Step-by-step explanation:
(-3x+4)+(x-9)
−3x+4+x−9
Subtract
−3x+4+x−9
-3−5+
Combine terms
−3x−5+x
−2−5
PLEASE HELP GIVING POINTS
Answer: You are correct, the slope 2, is the slope of the present line displayed on the graph.
Step-by-step explanation:
To find slope, you use the formula/term; [tex]\frac{rise}{run}[/tex].
This means to rise up ___ amount of numbers and run __ amount of numbers.
Rise is moving along y, and x is moving along x.
-Additional info:
positive slope (when lines go uphill from left to right) negative slope (when lines go downhill from left to right) zero slope (when lines are horizontal) undefined slope (when lines are vertical)-------------
#TeamTrees #TeamSeas #PAW #Spread_Positivity
I hope this helps,
-Oceanbreeze24
what is 1/4+3/8+1/2+5/8+3/4+7/8+1+1 1/4
Answer:
5.625 which is 5 5/8.
Step-by-step explanation:
Select all expressions that show the distance between P and Q
DISCLAIMER THERE COULD BE MULTIPLE ANWSERS
A 5−(−8)
B 5+|−8|
C |−8+5|
D 5+(−8)
Answer:
A and B
Step-by-step explanation:
5-(-8) = 5+ 8= 13 (the distance between -8 and 5)
5+|-8| = 5 +8 = 13
Please help
Is (6, 3) a solution to this system of inequalities?
x + 3y ≥ 15
10x + 3y > 3
Answer:
Graph both inequalities and see if the point lies in the overlapping shaded region.
Step-by-step explanation:
1) -88 ≤ -8(x+6)
2) 43 > -5k + 3 ≥ 8
Please show work :)
[tex](1)\\\\-88\leq -8(x+6)\\\\\implies -88\leq -8x -48\\\\\implies -88+48 \leq -8x\\\\\implies -40 \leq -8x\\\\\implies \dfrac{-40}{-8} \geq x~~~~ ;[\text{Dividng by a negative number so, reverse the inequality}]\\\\\implies 5 \geq x\\\\\implies x \leq 5\\\\\text{Interval solution,}~ (-\infty,5]\\\\\\(2)\\\\43 > -5k+3 \geq 8\\\\\text{Now,}\\\\43>-5k+3\\\\\implies 43-3 > -5k\\\\\implies 40 >-5k\\\\\implies - \dfrac{40}5 <k\\\\\implies -8<k\\\\\implies k>-8\\\\[/tex]
[tex]-5k+3 \geq 8\\\\\implies -5k \geq 8 -3\\\\\implies -5k \geq 5\\\\\implies k \leq -1\\\\\text{Combine solutions,}\\\\-8<k\leq -1\\\\\text{Interval solution,}~ (-8, -1][/tex]
Even after that large purchase at Best Buy, you decide to go to Target to grab a few things that you missed. You purchase WWE 2K21 for $49.99, Starbucks Vanilla Coffee for $13.99, the new Keurig K550 for $179.99, and a pair of jeans for $17.99. The state sales tax is 6%.
What is the total selling price before tax?
How much is sales tax did you pay?
What was your total cost?
The total selling price before tax is $261.96.
The sales tax paid is $15.72.
The total cost is $277.68.
The total selling price before tax is the sum of the prices of the WWE 2K21, Starbucks Vanilla Coffee, new Keurig K550 and the jeans
$49.99 + $13.99 + $179.99 + $17.99 = $261.96.
Sales tax is the amount of money levied when a good or service is purchased. It is a percentage of the price of an item
Sales tax = tax rate x cost
6% x $261.96 = $15.72
The total price paid is the sum of the sales tax and the total selling price.
$15.72 + $261.96 = $277.68
To learn more about taxes, please check: https://brainly.com/question/25311567