Complete question :
The play director 190 hours preparing for a plane that time include attending 35 rehearsals that took varying amount of time in spending 93 3/4 hours on the other responsibilities related to the play. What question does the equation 3/5 x + 93 3/4 equal 190 help answer? A. How much longer did the director spend on rehearsals and on other responsibilities? B. What was the average length of each rehearsal? C. How long was each rehearsal?
Answer: C. How long was each rehearsal?
Step-by-step explanation:
Total time spent preparing for play = 790 hours
Of the 190 hours :
Number of rehearsals = 35
Others = 93 3/4 hours
What question does the equation 35 x + 93 3/4 equal 190
35x + 93 3/4 = 190
(Number of rehearsals) * x + others = total time
x = time spent on each rehearsal
35x = 190 - 93 3/4
35x = 96.25
x = 96.25 / 35
x = 2.75 hours
Each rehearsal took 2.75 hours
The amount of water a washing machine uses varies directly with the number of loads it washes. If a washing machine uses 28 gallons for 2 loads of laundry, how many gallons would it use for 10 loads of laundry?
140 gallons of water would it use for 10 loads of laundry.
What is meant by the term direct proportional?A direct proportion is an arithmetical comparison of two numbers whose ratio is comparable to a constant value. According to the proportion definition, two ratios are in proportion when they are equivalent. The proportions are indicated by the symbol "∝".For the given question;
The amount of water a washing machine uses varies directly with the number of loads it washes.
Let amount of water be 'w'.
The number of loads be 'l'
w ∝ l
w = kl
k = proportionality constant.
For, w = 28 gallons
l = 2 loads of laundry
Put in the equation;
28 = 2 k
k = 14
Now, when l = 10 loads of laundry, w = ?
w = 14 × 10
w = 140
Thus, 140 gallons of water would it use for 10 loads of laundry.
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The temperature at 6 A.M. is -12° F. During the next twelve hours, the
temperature increases 25° F. What is the new temperature?
(help please!!!)
simplify this expression: (4x-9)-(8x-2), need help !!
Answer:
-4x - 7
Step-by-step explanation:
Step 1: Define expression
(4x - 9) - (8x - 2)
Step 2: Distribute negative
4x - 9 - 8x + 2
Step 3: Combine like terms
-4x - 7
3 TIMES WHAT = TO 90
Answer:
30 hope this is right yesssir
Consider the function g(x) shown below . Find g(2)
Answer:
g(2)=4
2 is the x value, and g(2) gives you 4 as your y value
point (2,4)
Step-by-step explanation:
Mr. Romito is a bus driver. He drove the Maple Hills Senior Citizen Group on a 2-day motor trip
through upstate New York. On the first day, he drove 433.4 miles. On the second day, he drove
347.9 miles. How many more miles did he drive the first day than the second day?
Answer:
85.5 miles more than the first day
Step-by-step explanation:
433.4-347.9=85.5 miles
This is the difference in miles between the first in second day. Also known as how much more miles driven for the first day then the second day.
Which set of ordered pairs represent a function?
Answer:
B.
Step-by-step explanation:
No number repeats itself in the x value.
Given h(x)=5x-5h(x)=5x−5, find h(2)h(2).
Answer:
5
Step-by-step explanation:
1) h(x)=(5×2)-5
h(x) =5
3
—
4 divided by
9
—
10
Answer:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{5}{6}[/tex]
Step-by-step explanation:
Fraction Division
The division of two fractions a/b and c/d is usually done by multiplying the first fraction by the reciprocal of the second fraction:
[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]
We are required to divide:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}[/tex]
Applying the above rule:
[tex]\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{3}{4}\cdot\frac{10}{9}=\frac{30}{36}[/tex]
Simplifing by 6:
[tex]\boxed{\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{5}{6}}[/tex]
What percent is equivalent to Two-thirds?
O 66 and one-third percent
O 66 and three-fifths percent
O 66 and two-thirds percent
O 66 and StartFraction 7 Over 10 EndFraction percent
Answer:
66 and two-thirds percent
Step-by-step explanation:
Answer:
The answer is (C) 66 and two-thirds percent
Step-by-step explanation:
hope it helps
At a gas station, the price of gas is $2.40 a gallon. Write an equation using slope-intercept form that relates the total cost, C, to the price per gallon of gas, g
Answer:
C= 2.40g+0
Step-by-step explanation:
The total cost is reliant on how many gallons of gas the customer buys. If the person bought 8 gallons, you'd plug 8 in for g. 8 times 2.40 = $19.20
Simple math question but im stuck on it.
Tell whether the value is a solution of the inequality
Please tell me what to write down
5 - x < 8; x = -3
Answer:
no , because 5 - -3 is 8 , which is not less than eight
I need the answer in a few minutes so i can answer the next half thank uu
I will name you brainliest :)
Solve -3 1/2 = 1/2 x + 1/2 x + x.
Answer:if you are solving for x it would be x=-7/4 or -1 3/4
Step-by-step explanation:
I really need help i have asked a lot and i will give thanks and brainlyest i am just so stuck
Answer:
27864000
Step-by-step explanation:
Do 8.1*10^4 * 3.44*10^2
What is the equation of the line x–3y=18in slope-intercept form?
Answer:
Y=1/3x-6
Step-by-step explanation:
Answer:
Subtract x from both sides.
-3y = -x + 18
Divide everything by -3.
y = -1/3 - 6
^There ya go. ^
what is the equation of the line perpendicular to y=1/2x-3 going through the point P(10,5)?
Answer:
y=-2x+25
Step-by-step explanation:
the slope has to be -2, becauze in perpendicular lines, the slopes are opposite.
put it into y-y1=m(x-x1) form, which is y-5=-2(x-10)
then get rid of the parenthesis by distribution, which gives you y-5=-2x+20 (-10x-2 gives a positive 20)
then isolate y and balance the equation.
y-5+5=-2x+20+5, which gives you
y=-2x+25
A box contains 4 red marbles, 7 white marbles, and 8 blue marbles. If a marble is randomly selected from the box, what is the probability that it is white? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.
Answer:
The probability of selecting a white marble is 0.368
Step-by-step explanation:
Given;
number of red marbles, R = 4
number of white marbles, W = 7
number of blue marbles, B = 8
Total number of marbles in the box = 4 + 7 + 8 = 19
The probability of selecting a white marble is given by;
P(W) = 7 / 19
= 0.368
Therefore, the probability of selecting a white marble is 0.368
Heather is training for a long-distance run. Her data points listed below represent the days of practice, x, and the
number of miles run, y.
(1, 2.5), (2, 4.2), (4,5.6), (6, 7), (8, 8.1), (10, 11)
Use the equation to interpolate the value and estimate the distance that she could have run on day 3. Round to the
nearest tenth of a mile.
miles
O
day 3
Answer:
4.6
Step-by-step explanation:
The distance run on day 3 is about 5.9 miles.
What is the point-slope form of a line?If m is the slope of the line that passes through the point (x₁, y₁), then the equation of the line is y - y₁ = m (x - x₁).
The data points given are:
(1,2.5), (2,4.2), (4.5,6), (6,7), (8,8.1), (10,11)
Note that the growth seems to be linear, therefore, find a linear equation for the data.
Use (1,2.5) and (2,4.2) to find the slope of the line:
m = (4.2-2.5)/(2-1)
m = 1.7
The equation of the line with slope m = 1.7 and passes through point (1, 2.5) is:
y - 2.5 = 1.7(x - 1)
y = 1.7x - 1.7 + 2.5
y = 1.7x + 0.8
Substitute x = 3 into the above equation:
y = 1.7(3) + 0.8
y = 5.9
Hence, the distance run on day 3 is about 5.9 miles.
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Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6.
Answer:
4x-7=5
Step-by-step explanation: If you take 4(3) you get 12 -7 =5
−5/6e−2/3e=−24 please help aa (also the slash is fraction)
Answer:
e = 16
Step-by-step explanation:
−5/6e−2/3e= −24
−e(5/6+2/3) = −24
-e((5+4)/6) = −24
-e(9/6) = -24
-e(3/2) = -24
-3/2e = -24
- e = -24/(3/2)
-e = -16
e = 16
how are the particles in a solid piece of ice organized
Answer:
The particles in most solids are closely packed together and do not move around. ... Ice is different from most solids because its molecules are not packed as closely together as they are in liquid water. This means ice takes up a little more space than the same amount of liquid water. This is why ice floats.
Which statement describes the function through the points? The function is a direct variation function with a constant of variation of 1.5. The function is a direct variation function with a constant of variation of 1.8. The function is linear but is not a direct variation function. The function is not a linear function.
Answer:
Correct answer is C
Step-by-step explanation:
The Function is linear but is not a direct variation function
The function is linear but is not a direct variation function.
The correct option is C.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
As per the information provided:
The points are collinear (i.e. they lie on a straight line), which means that the function is linear. We can find the equation of the line using the two-point form:
(y - 18)/(x - 10) = (30 - 18)/(18 - 10)
Simplifying this equation gives:
y - 18 = 3/2(x - 10)
y - 18 = 1.5x - 15
y = 1.5x + 3
So the function is linear, but not a direct variation function, and has a slope of 1.5.
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The complete question:
A coordinate plane with 3 points is plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?
The function is a direct variation function with a constant variation of 1.5.
The function is a direct variation function with a constant variation of 1.8.
The function is linear but is not a direct variation function.
The function is not a linear function.
Evaluate for x = 2. (12x + 8)4
Answer:
12x + 8) /4
=[12 (2) + 8 ]/4
=[ 24 + 8 ]/4
=32/4
=8
Step-by-step explanation:
\
(12x+8)4
=(12x2 +8)4
=(24+8)4
=(32)4
=128
. Write the equation of the line that contains the point
(4,7) and is parallel to x= 3.
Answer:
y=3x-5
Step-by-step explanation:
Use point slope form. y-7= 3(x-4)
Simplify: y-7= 3x-12
Simplify more: y=3x-5
Hope this helps!
James buys 8 tomatoes that have a combined weight of 4.5 pounds. The scale measures to the nearest hundredth of a pound. What is the most precise value of the average weight of the tomatoes that James purchases, given the level of accuracy of the scale?
Answer:
Most precise value of the average weight is 0.56 pounds
Step-by-step explanation:
To get the precise value, we start by getting the average weight
That will be total weight/8
= 4.5 pounds/8 = 0.5625
we are told that the scale records to the nearest hundredth
So we need to express the obtained value in hundredths
That will be 0.56 pounds
Help me find the answer for this question, picture below
Answer:
600 (I am not sure though)
A rectangle has a length of 2x-5 units and a width of x-3 units. What is the area, in
square units, of the rectangle?
5[(11-3)]²÷ 2=
simplify the expression ?
Answer:
11-3=8
8x8=64
64x5=320
320/ 2=160
Step-by-step explanation:
Which table does NOT describe a function?
Answer:
c
Step-by-step explanation:
there are two x values