We need to find distance they travel as a function of time. This simply means that x is the function of time. The destination is 120 miles away, this is irrelevant for the question that is currently being asked. However, we know that they have already travelled 20 miles and are going 50 miles and hour. So lets plug in what we have.
50 is our rate of change, so we match that with the x.
20 is our constant, the distance already travelled.
This means our function is:
f(x) = 50x + 20
This means our answer is D) f(x) = 50x + 20
Lets also plug in 120 to solve how much further they need to travel before arriving.
120 is our f(x) as it is the final distance travelled.
120 = 50x + 20
120-20 = 50x
100 = 50x
100/50 = x
2 = x
This means that they need to travel 2 hours in addition to the 20 miles they have already gone.
I hope I've helped! :)
Taylor buys candy at the store that costs $1.50 per candy bar.
Create a table that could represent Taylor’s cost per candy bar.
Candy
Cost
0 /0
1 /1.50
? ?
? ?
? ?
Answer:
2/ 3.00
3/4.50
4/6.00
Step-by-step explanation:
A tank has a capacity of 10 gallons. When it’s full it contains 12% alcohol. How many gallons must be replaced by a 36% alcohol solution to give 10 gallons of 15% alcohol solution?
Answer:
Ie e did I
Step-by-step explanation:
djdusudusis
x – 1= 4x + x - 8+ 3x
Answer:
1
Step-by-step explanation:
Add one on both sides, combine like terms and solve.
What function is graphed below?
ANSWERS
An automotive insurance company has 25,000 policyholders. The accident rate is 0.07.
The number of accidents the company will have to pay out for is
1,750
. If the payout for each claim (after deductibles) is $8,000, the company’s total payouts will amount to $
14,000,000
. If the company wants to keep a profit margin of 8%, the premium it must charge is $
604.8
. The company can set aside a maximum amount of $
1,120,000
for this year’s investments.
Answer:
D. 604.8
Step-by-step explanation:
Answer: these are correct
1,750
14,000,000
1,120,000
604.8
Find the lcm of 4 and 4?
Answer:
lowest common multiple of 4 and 4 is 4
To verify those for alpha and beta, simply substitute the known values:
sin 30° = cos 60° = 1/2
sin 60° = cos 30° = √3/2
cos 90° = sin 0° = 0
sin -30° = -1/2
sin 120° = √3/2
a.
cos 90° = cos 30° cos 60° - sin 30° sin 60°
0 = √3/2 * 1/2 - 1/2 * √3 / 2 = √3/4 - √3/4 = 0
verified
b.
sin -30° = sin 30° cos 60° - cos 30° sin 60°
-1/2 = 1/2 * 1/2 - √3/2 * √3/2 = 1/4 - 3/4 = -2/4 = -1/2
verified
c.
sin 120° = 2 sin 60° cos 60°
√3/2 = 2 * √3/2 * 1/2 = √3/2
verified
2 short questions
Please help
Answer:
b c = 5.25p this is the answer
For the first problem shown the answer is number B.
It is B because we our always going up by $5.25
For our second one it isn't a function,
it isn't a function because it follows the same rule through-out it besides at the end of it.
2(5-2)^2. what is the answer please explain no link.
What does X = please help me Asp now
Answer:
13 degrees
Step-by-step explanation:
Because of the alternate interior angles, I know that angle EB is also 77. Now, knowing that it's a right angle, I can subtract 77 from 90 to get 13.
Help help help pelesss please
Answer:
its 1
Step-by-step explanation:
it literly says it on the grid and its really simple
A bike race takes place over a 3 mile course. How many feet is it?
a
15280 ft
b
3000 ft
c
15,840 ft
d
15000 ft
Answer:
A
Step-by-step explanation:
Here is ur answer
- BRAINLIEST answerer
Due Tomorrow: Answer question 20 using steps
Answer:
angle CAB = 37
segment AC = 4.0
segment BC = 3.0
Step-by-step explanation:
angle CAB is complementary with angle ABC. 90-53=37. This is a right triangle, meaning we can use SohCohToa to find side lengths. AC = 5 * sin(53) = 4.0, and BC = 5 * cos(53) = 3.0.
determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent
Answer:
4. We don't know if they're right triangles
Step-by-step explanation:
If you could assume that the triangles are right triangles, then you would be able to prove congruency with HL. In this case however, the angles are not given so you can't assume anything.
so i have 1,521,588 poker chips how much do i need to get 2 million (poker chips on a game called pokerstars vr)
Answer: 478,412
Step-by-step explanation:
In order to do this just take 2 million and subtract the number of chips you wanted to take away. For example, it'd be 2,000,00 - 1,521,588 which leaves you with 478,412.
calculate the distance of mars to the sun
Answer:
[tex]r=2.28*10^8km[/tex]
Step-by-step explanation:
This assumes you were given the mass of mars to be [tex]6.39*10^2^3kg[/tex] the mass of the sun to be [tex]1.99*10^3^0kg[/tex] and the gravitational force between the two to be [tex]3.72*10^3^5N[/tex].
I used the formula: (G is the gravitational constant [tex]6.67*10^-^1^1[/tex])
[tex]F=G\frac{m_1m_2}{r}[/tex]
and solved for r
[tex]3.72*10^3^5=6.67*10^-^1^1\frac{6.39*10^2^3(1.99*10^3^0)}{r}[/tex]
[tex]r=\frac{8.48*10^4^3}{3.72*10^3^5}[/tex]
[tex]r=2.28*10^8km[/tex]
Express these ratios in their simplest form.
A class has 5 girls and 8 boys. What is the ratio of girls to the total number of students?
BRAINLIEST**
Answer:
5:13
Step-by-step explanation:
The total number of students = 5+8 = 13
Which of the following is not one of Garner’s Theory of Multiple Intelligences?
Question 4 options:
Linguistic intelligence
Interpersonal intelligence
Muscular intelligence
Answer:
I would say muscular
Step-by-step explanation:
none of these are really wrong, but muscular intelligence should be bodily intelligence
I just need the properties in order help plz
[tex] \: \: \: \: [/tex]
[tex]6x - 30 - 3x = - 12[/tex]
move the variable to the left hand side and change its sign, move the constant to the right hand side and change its sign[tex]6x - 30 = - 12[/tex]
collect like terms and calculate the sum[tex] 3x = - 18[/tex]
divide both sides of the equation by 3[tex]x = 3[/tex]
hope it helps[tex] \: \: \: \: \: [/tex]
[tex]\sf \longmapsto6(x−5)=3x−12[/tex]
Simplify both sides[tex]\sf \longmapsto(6)(x)+(6)(−5)=3x+−12[/tex]
[tex]\sf \longmapsto6x+−30=3x+−12[/tex]
[tex]\sf \longmapsto \: 6x - 30 = 3x - 12[/tex]
Subtract 3x from both sides[tex]\sf \longmapsto \: 6x−30−3x=3x−12−3x[/tex]
[tex]\sf \longmapsto3x−30=−12[/tex]
Add 30 to both sides[tex]\sf \longmapsto3x−30+30=−12+30[/tex]
[tex]\sf \longmapsto3x=18[/tex]
Divide both sides by 3[tex]\sf \longmapsto \: \dfrac{3x}{3} = \dfrac{18}{3} [/tex]
[tex]\sf \longmapsto \: x = 6[/tex]
[tex] \boxed{\sf \: x = 6 }[/tex]
Is 3 the coefficient of s/3?
The coefficient of s/3 is 1/3.
s/3 = (1/3)s
No, 3 is not the coefficient of s/3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
s/3
This can be written as (1/3)s.
The coefficients of an equation are the non-zero values along with the variables.
Example:
ax² + bx + 3
The coefficients of this equation are a, and b.
The coefficient for the expression s/3 is 1/3.
Thus,
The coefficient of s/3 is 1/3.
s/3 = (1/3)s
No, 3 is not the coefficient of s/3.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Order the following numbers from least to greatest.
|-1 1⁄2|, 1 3⁄4, |-1 1⁄5|, 1 2⁄5
Answer:
|- 1 1/5|, 1 2/5, |-1 1/2|, 1 3/4
Step-by-step explanation:
There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
40%
6/15 is 0.4. Multiplied by 100, that makes 40%.
Which of the following is equal to the expression below
(8 - 32014
A 40
B. 30
C 835
D. 1035
Answer:
C 835Which of the following is equal to the expression below
he population of a particular town is given by the function P(t) = 1,200(1.05)2t, where t is the time in years and P(t) is the population after t years. What is the current population, the percentage growth rate, and the population size (rounded to the nearest whole person) in 7 years?
Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t (4 points)
1,200, 5% annually, and 1,689
1,200, 50% semiannually, and 20,503
1,200, 10.5% per year, and 2,414
1,200, 5% semiannually, and 2,376
Answer:
Hint: Percentage Growth Rate = r ⋅ 100 in A = A0(1 + r)t
1,200, 5% annually, and 1,689
1,200, 50% semiannually, and 20,503
1,200, 10.5% per year, and 2,414
1,200, 5% semiannually, and 2,376
Mr. Williams bought a plot of land for $ 40 000. The value of the land appreciated by 7% each year.
Answer:
no
Step-by-step explanation:
What is the area of a rectangle with a length of 88 inches and width of 56 inches
Answer: 4928
Step-by-step explanation:
Area= LxW
88 x 56= 4928
The image of the point (4, -9) under a translation is (9, -14). Find the coordinates
of the image of the point (-9, -8) under the same translation.
9514 1404 393
Answer:
(-4, -13)
Step-by-step explanation:
When the translation (T) is added, the image is formed.
(4, -9) +T = (9, -14)
T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)
The same holds for the second point:
(-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)
The image of the second point under the same translation is (-4, -13).
LM bisects
KL = LN
m
m
m
Answer:
Only one must be true
Step-by-step explanation:
Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can Kayla drive on a 16-gallon full tank of gas?
Answer:
16 road trips
Step-by-step explanation:
Which equations are true equations?
Select all correct answers.
150/5^2=30−4^2−12
8⋅7/2−12=22−2⋅3
48 ÷ 8 + 2³ = 5 + 3²
9^2−7^2=20÷(7−2)
Answer:
The second and third equations are the correct ones.
Step-by-step explanation:
You don't need one, if you want one, do the problem yourself.
Answer: B. 8⋅7/2−12=22−2⋅3 and C. 48 ÷ 8 + 2³ = 5 + 3²
Johnny Rockefeller had a bad credit rating and went to a local cash center. He took out a $100.00 loan payable in two weeks for $107.50. What is the percent of interest paid on this loan?
Answer:
7.5% Because out of 100 parts there are an additional 7.5 of them. Good luck mate.