Answer:
-6a+24b+15c
Step-by-step explanation:
The given expression is :
−3(2a)+−4(−6b)+5(3c)
We need to write it in the standard form.
We know that,
-3(2) = -6, -4(-6) = 24 and 5(3) = 15
−3(2a)+−4(−6b)+5(3c) = -6a+24b+15c
Hence, the required answer is equal to "-6a+24b+15c".
What is the unit rate for a donut when you buy
10 donuts at Dunkin Donuts?
Answer:
$24.9
Step-by-step explanation:
The graph shown compares the rent Andrew and Dave pay for renting bikes from different stores
After how many hours would the amount Andrew and dave pay for the rentals be equal?
Answer:6
Step-by-step explanation:
The number of hours when the amount Andrew and dave pay for the rentals be equal will be 6 hours.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
From the equation, the two points of Dave's line will be (0, 6) and (2, 9). Then the equation is given as,
(y - 6)[(9 - 6) / (2 - 0)](x - 0)
y = 1.5x + 6
From the equation, the two points of Andrew's line will be (0, 3) and (1, 5). Then the equation is given as,
(y - 3) = [(5 - 3) / (1 - 0)](x - 0)
y = 2x + 3
The number of hours when the amount Andrew and dave pay for the rentals be equal will be calculated as,
2x + 3 = 1.5x + 6
0.5x = 3
x = 6 hours
The number of hours when the sum Andrew and dave pay for the rentals be equivalent will be 6 hours.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
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A right triangle has side length of 4 cm and 5 cm what is the length of hypotenuse?
Answer:
[tex]\sqrt{41}[/tex]
Step-by-step explanation:
need help and will be giving Brainliest
Answer:
x-intercept (s):
For this case h (x) = 0
x2 - 2x - 8 = 0
(x-4) * (x + 2) = 0
x1 = 4
x2 = -2
y-intercept:
For this case x = 0
h (0) = (0)2 - 2 (0) - 8
h (0) = - 8
vertex:
We derive the equation:
h '(x) = x2 - 2x - 8
h (x) = 2x - 2
We match zero:
2x-2 = 0
x = 2/2
x = 1
We evaluate the function for x = 1
h (1) = (1)2 - 2 (1) - 8
h (1) = 1 - 2 - 8
h (1) = -9
The vertex is:
(1, -9)
axis of symmetry of the function:
x = 1
Step-by-step explanation:
hope it helps
Karl needs to build a stage that has an area of 90 square feet. The length of the stage should be longer than the width. What are the possible whole-number measurements for the length and width of the stage?
Answer:It is 154 square inches. and 38 width
Step-by-step explanation:
Answer:
{5 ft, 18 ft}, {1 ft, 90 ft}, {9 ft, 10 ft}
Step-by-step explanation:
Represent the length and width by L and W respectively.
Then one requirement may be expressed as L > W.
The other requirement is L * W = 90 ft^2.
Let's temporarily replace W in this equation with L:
L^2 = 90 ft^2, so that L must be the positive square root of 90 ft^2:
L = √(90 ft^2) ≈ 9.5
Since L must be greater than W, we can write L > 9.5 ft. The nearest integer L would be 10, in which case the nearest integer W would be 9, which means that the area of the stage would be 90 ft^2 (as required).
{9 ft, 10 ft} are possible whole number measurements for L and W. Here W < L, as required, and L and W are both integers.
{5 ft, 18 ft} is another possible set of measurements.
So is {1 ft, 90 ft}.
A group of friends were working on a student film. They spent all their budget on props and equipment. They spent $693 on props, and 37% of the total budget on equipment. What was the total budget for their student film?
Answer:
$1100
Step-by-step explanation:
Let the total budget = b
amount spent on props + amount spent on equipment = total budget
If 37% of the budget was spent on equipment
The percentage spent on props = 100% - 37% = 63%
63% of the total budget is $693
the above sentence presented as an equation gives :
63/100 x b = 693
to find b, divide both sides of the equation by 100/63
b = $1100
Answer:
1100
Step-by-step explanation:
In a right triangle ABC with the right angle at C, TanA=0.75 What is TanB?
(only enter a number round to the nearest hundredth)
I posted another question :)
Answer:
the first one is correct
Step-by-step explanation:
let x and y be inversely related. if x is 5 when y is 6, find y when x is 3
Answer:
when its to the left
Step-by-step explanation:
Answer:
y =10
Step-by-step explanation:
x[tex]_{1}[/tex]=5 y[tex]_{1}[/tex]= 6
x[tex]_{2}[/tex]=3 y[tex]_{2}[/tex]=?
use the y[tex]_{1}[/tex]= k/x formula
6y=k/5
multiply 6 and 5 to find k
then use x[tex]_{2}[/tex] as your new x
y=30/3
30 ÷ 3= 10
24 - n = 6 What is n?
Answer:
n is 18
Step-by-step explanation:
Answer:
24 - n = 6
Figure out what plus 6 will give you 24.
Or add 24 and 6 and use the sum as the fill-in for n.
24 + 6 = 30.
Replace the variable.
30 (n) - 24 = 6.
Step-by-step explanation:
Hope that this helps!! :))>
Brendan works in the kitchen of a restaurant.Over the weekend, he washed 275 small plates and 555 large plates.How many plates did he wash over the weekend?
Answer:
830
Step-by-step explanation:
Total plates washed is the sum of small plates washed and big plates washed
total plates washed = small plates + big plates
275 + 555 = 830 plates
a total of 830 plates was washed over the weekend
Yuki works at a garden store. She is stacking 40-pound bags of soil. Use the equation w=40b to find the total weight, w, of 5 bags of soil.
Answer:
w= 40b
w=40× 5
w=200
......
Answer: w = 200
Step-by-step explanation:
40 x 5 is 200
The graphs of y=x+4 and y=−2x+1 are shown. What is the solution of the system?
A. (−4,0)
B. (−1,3)
C. (0,1)
D. (0,4)
Answer:
B
Step-by-step explanation:
The solutions are the coordinates of where the lines intersect.
Simplify the expression. 7m^3 + 2 3/4 - 6m^3
Answer:
m^3 + 2 3/4
Step-by-step explanation:
Change the order
7m^3 - 6m^3 + 2 3/4
m^3 + 2 3/4
How many 1/4-pound
hamburger patties can be made
from 10 ½ pounds of hamburger?
Answer:42
Step-by-step explanation:
10 1/2 = 21/2
21/2 divided by 1/4
=21/2 times 4 (keep the first number, change the sign, flip the fraction)
=84/2
=42(patties)
Answer:
42
Step-by-step explanation:
10.5÷0.25=42
42 hamburger patties can be made
What is 8.04 dived by 0.6
Answer:
13.4
Step-by-step explanation:
it just is
Answer:
13.4
Step-by-step explanation:
there you go 8.04 divided by 0.6= 13.4
what is the scale factor ?
Answer:
scale factor is usually a decimal which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.
Determine the scale factor.
y
4
P Р
A.
4
-3
-2
P?
B.
1
2
Q
d'
4 5 6 7
0
9 x
1 2
R'
C. 2
-2
R
D. 4
Answer:
The scale factor from PQR to P'Q'R' is ½
*PLEASE HELP*
Sara has purchased an Easter basket for $25. Inside the basket there are chocolate
eggs and marshmallow bunnies. The basket has a total of 7 items inside. The
chocolate eggs cost $3 each and the marshmallow bunnies cost $5 each.
Write a system of equations that describes the situation. Then find how many
chocolate eggs and marshmallow bunnies are in the basket.
Answer:
(3x5)+(5x2)=25
Step-by-step explanation:
3x5=15 plus 5x2=10 15+10=25
The decay of 249 mg of an isotope is given by A=249e−0.015t , where t is time in years. Find the amount after 43 years.
Answer:
A≈676.2
Step-by-step explanation:
1. Exponentially solve equation
A=249e-0.0015t as t = 43 years (Unless conversion to seconds)
A≈676.2
2. Solve graphically = intersect = (43, 676.2) x axis is time y axis is amount.
John plans to practice piano at least 2 1 2 212 hours this weekend. If he practices 1 1 6 116 hours on Saturday and 1 1 4 114 hours on Sunday, will he meet his goal?
Answer:
No
Step-by-step explanation:
The computation is shown below:
In weekend, at least [tex]2 \frac{1}{2}[/tex] hours should be practice i.e. 2.5 hours
But actual he would be practice
[tex]= 1 \frac{1}{6} + 1 \frac{1}{4}\\\\= \frac{7}{6} + \frac{5}{4}\\\\= \frac{14 + 15}{12} \\\\= \frac{29}{12}\\\\= 2.4167[/tex]
So he would not able to meet his goal
are the expressions 1.5-2t and 0.25(8-6t) equivalent?
Answer:
no, they are not equivalent. the second expression simplified = 2-1.5t.
1.5-2t and 2-1.5t are not equal.
Step-by-step explanation:
i hope this helps :)
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Which is an equation of the function graphed?
Answer:
A
Step-by-step explanation:
tsgsgsgs sorry if wrong
3(n - 1) < 21
Does anyone know the answer and solution?
Answer:
[tex]n < 8[/tex]
Step-by-step explanation:
[tex]3n - 3 < 21 \\ 3n - 3 + 3 < 21 + 3 \\ 3n = 24 \\ \frac{3n}{3} < \frac{24}{3} \\ n < 8[/tex]
How many meters are equivalent to x centimeters????
Answer:
1 Meter is equal to 100 centimeters.
Step-by-step explanation:
what is more precise kilograms or grams.
Answer:
grams
Step-by-step explanation:
Answer:
Kilograms is more precise.
Step-by-step explanation:
I hope this helps.
In which set of points is y a function of x?
A
{(2, 4), (4, 16), (5, 25), (6, 36)}
B
{(4, 2), (4, -2), (16, 4), (16,-4)}
С
{(2, 1), (2, 0), (1, -1), (3, 1)}
D
{(2, 3), (1, 3), (0, 3), (0, 2)}
15. Amir wants to buy a video game that
costs $70, but he only has $20. He can earn
$10 for each car he washes. How many cars
he must wash to have enough money to buy
the game?
A. 5 cars
B. 7 cars
C. 3 cars
D. 2 cars
Answer:
A. 5 cars
Step-by-step explanation:
Find the surface area of a sphere with a radius of 2√2 feet.
94.5 square feet
100.5 square feet
25.1 square feet
35.5 square feet
Answer: 100.5 square feet
Step-by-step explanation:
To find : surface area of sphere with radius of [tex]2\sqrt{2}feet[/tex]
The formula used to calculate surface area of sphere is = [tex]4\times \pi\times r^2[/tex]
where r is the radius of sphere.
Putting the values we get:
surface area of sphere = [tex]4\times 3.14\times (2\sqrt{2}feet)^2=100.5square feet[/tex]
Thus the surface area of a sphere with a radius of 2√2 feet is 100.5 square feet
Answer:
100.5 square ft
Step-by-step explanation:
The equation 24x-582 = 17y relates the amount of money made from the main floor and balcony tickets. Why is 5824 subtracted from 24x?
Answer:
This question may be incomplete, so i will answer this in a really general way.
We have the equation:
17*y = 24*x - 582
Where this represents the amount of money made from the main floor and balcony tickets, where i suppose that 17*y represents the money and x is the number of tickets sold.
We are subtracting 582 from the right side, this may be related to the cost of the tickets.
Like in the profit equations:
Profit = revenue - cost
Then we can have:
profit = 17*y
revenue = 24*x
cost = 582