7. Cassidy's family is driving home
from vacation at an average speed
of 55 mph. After 2 hours they
are 110 miles from home. What
is an equation in point-slope that
represents their distance from
home, y, after x hours?
Answer:
The equation in a point-slope form that represents their distance from
home, y miles, after x hours, is y - 110 = 55(x - 2)
Step-by-step explanation:
The point-slope form of the linear equation is
[tex]y-y_{1}=m(x-x_{1})[/tex] , where
m is the slope of the line (average)
[tex](x_{1},y_{1})[/tex] is a point on the line
→ The family is driving home from vacation at an average speed
of 55 miles per hour
∴ m = 55
→ After 2 hours they are 110 miles from home
∵ x is the number of hours
∵ y is the distance in miles after x hours
∴ [tex]x_{1}[/tex] = 2
∴ [tex]y_{1}[/tex] = 110
→ Substitute these values in the form of the equation above
∴ y - 110 = 55(x - 2)
The equation in a point-slope form that represents their distance from
home, y miles, after x hours is y - 110 = 55(x - 2)
3-2(x + 1)=2x-7
SOLVE AND HOW MANY SOLUTIONS ?
Answer:
2
Step-by-step explanation:
3−2(x+1)=2x−7
3+(−2)(x)+(−2)(1)=2x+−7(Distribute)
3+−2x+−2=2x+−7
(−2x)+(3+−2)=2x−7(Combine Like Terms)
−2x+1=2x−7
−2x+1=2x−7
Step 2: Subtract 2x from both sides.
−2x+1−2x=2x−7−2x
−4x+1=−7
Step 3: Subtract 1 from both sides.
−4x+1−1=−7−1
−4x=−8
Step 4: Divide both sides by -4.
−4x−4=−8−4
x=2
Given f(x) = (2 - x)}, what is the value of f(18)?
What value of c makes the equation true?
let's solve your equation step-by - step
-3-3/4(c-4)=5/4
Step 1: simplify both sides of the equation.
-3-3/4(c-4)=5/4
-3+-3/4 c+3=5/4 (distribute)
(-3/4 c)+(-3+3)=5/4 (combine like terms)
-3/4c=5/4
-3/4 c =5/4
Step 2: Multiply both sides by 4/(-3)
(4/-3)*(-3/4 c)=(4/-3)*(5/4)
Answer:c=-5/3
Answer:
[tex]-\frac{5}{3}[/tex]
Step-by-step explanation:
Hi there !
[tex]-3-\frac{3}{4}(c-4)=\frac{5}{4}\\ \\-3-\frac{3c}{4}+3=\frac{5}{4}\\ \\-\frac{3c}{4}=\frac{5}{4}\\ \\-3c=5\\\\3c=-5\\\\c=-\frac{5}{3}[/tex]
Good luck !
what is 0.4repeating as a fraction?
Answer:
11/25
Step-by-step explanation:
can yall help me plz
Answer:
C. 1/4
Step-by-step explanation:
up 1, right 4
621126.4862 divided by 126.48
Answer:
4910.8672217
Step-by-step explanation:
I dont have a step by step, i am so sorry
Answer:
4910.8672217
Step-by-step explanation:
Calculate the following using the Density Formula: What is the volume of the Ms. Gonsalez's phone that he dropped in his sink, if the mass of the phone is 12.4 g and the density is 6.2 g/mL? *
Answer:
2 mL³
Step-by-step explanation:
Use the density formula, D = m/v, where m is the mass and v is volume.
Plug in the mass and density, then solve for the volume:
D = m/v
6.2 = 12.4/v
6.2v = 12.4
v = 2
So, the volume is 2 mL³
Help me and explain please I’m struggling
One formula for pressure, p, is given by the formula p = F/A, where F=force measured in pounds, A=Area measured in square inches. What is a possible unit measure for pressure?
Answer:
pascal
Step-by-step explanation:
the unit of pressure is pascal or you can divde pounds and square inches in there units
Franco made a dozen muffins for his party. Upon taking them out of the oven, he noticed that 2 of the muffins were badly burned. Franco served 710 of the remaining muffins. Which equation shows the fraction of the non-burned muffins that remains? A. 1212−712=512 B. 1010−710=310 C. 1212−512=712 D. 1010−310=710
Answer:
10/10 - 7/10 = 3/10
Step-by-step explanation:
Muffins made = 12
Burnt muffins = 2
Good muffins = 12 - 2 = 10
Franco served 7/10 of the remaining muffins
Muffins served = 7/10 × 10
= 7
Muffins unserved = 10 - 7 = 3
Fraction of the non burned muffins remaining = non burned muffins - served muffins
= 10/10 - 7/10
= 3/10
The answer is B
QUESTION 3 of 10: Last year you paid $20 for a yard of silk. This year, it will cost you $25 a yard. What is the percentage increase?
a) 12%
b) 20%
C) 25%
d) 33%
Answer: C) 25%
Step-by-step explanation:
What's 2|–9| – |–2|?
A) –20
B) 16
C) –18
D) 20
3.The snow starts at a depth of 10 inches and melts to 2 inches over the span of 4 hours. Determine the rate of change over the interval 0≤x≤4
A.4 inches per hour
B.2 inches per hour
C.8 inches per hour
D.12 inch per hour
4.The population in a neighborhood increased from 120 to 156 people from 1990 to 1994. Find the rate of change over the interval 1990≤x≤1994.
A.1/9 of a person per year
B.9 people per year
C.36 people per year
D.4 people per year
5.The temperature increases from 60 degrees Fahrenheit to 84 degrees Fahrenheit from 8 in the morning to 12 in the afternoon. Find the rate of change over the interval 8≤x≤12
A.16 of a degree Fahrenheit per hour
B.4 degrees Fahrenheit per hour
C.6 degrees Fahrenheit per hour
D.24 degrees Fahrenheit per hour
Step-by-step explanation:
#4: 156-120= 36
36÷4=9
Answer: B; 9 people per year
Step-by-step explanation:
#5: 84-60=24
24÷4=6
Answer: C; 6 degrees Fahrenheir per hour
Decide which of the two points lies on the graph of the line
2x+y=10
A.(4,3)
B.(-4,18)
Answer:
A
Step-by-step explanation:
when you substitute 4 in x and 3 in y, your result are 11 no 10
please help. find the measure of all missing angles.
Answer:
M1= 62 M2= 45 M3= 24
Step-by-step explanation:
For angle 1:
180-118 = 62
Angle 2:
180- (73+62)
Angle 3:
part 1
180-73= 107
part 2
180-(107+49)= 24
Answer:
Step-by-step explanation:
You have to solve for 1 before you do anything.
<1 + 118 = 180 The two left angles are supplementary
<1 +118-118=180-118
<1 = 62
Now you can go after angle 2
<1 + 73 + <2 = 180 All triangles have 180 degrees
62 + 73 + <2 = 180 Combine the left
135 + <2 = 180 Subtract 135 from both sides.
135-135+<2 = 180-135 Combine
<2 = 45
Angle 3 is a little trickier because the angle you need to find <3 is not labeled.
73 + x = 180
x = 180 - 73
x = 107
NOw you can find <3
107 + 49 + <3 = 180
156 + <3 = 180
<3 = 180 - 156
<3 = 24
I have left out the reasons for <3. Maybe you can supply them.
What is the length of BC?
9 units
11 units
15 units
16 units
Answer:
x = 15
Step-by-step explanation:
I used the pythagorean theorem on BAC triangle
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
The length of BC is 15 units.
In the right triangle ABC.
we have AC = 8 units and AB = 17 units.
We need to find the length of BC using the Pythagorean theorem.
What is the Pythagorean theorem?It states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In the given right-angle triangle ABC.
We have,
AB = hypotenuse and the other two sides are AC and BC.
Applying the Pythagorean theorem.
We get,
[tex]AB^{2} = AC^2 +BC^2[/tex]
Now substitute AC = 8 and AB = 17.
[tex]17^2=8^2+BC^2\\289=64+BC^2\\BC^2=289-64\\BC^2=225\\BC=\sqrt{225}\\ BC=15 ~units.[/tex]
Thus, we have the length of BC as 15 units.
Learn more about finding length in a right-angle triangle here:
https://brainly.com/question/13515866
#SPJ2
What is the slope? The y-intercept? Write the y-intercept as a coordinate.
Answer:
The y intercept is (0,-3) The slope is 7/1 i think
factor the trinomial x²-11x+30?
Answer:
(x-5)(x-6)
Step-by-step explanation:
when we look at something like this we have a, b, and c
a=1 (in front of x)
b=-11
c=30
our goal is trying to find factors of c that will give us b so in this case factors of 30 that will give us -11
so when you list all the factors of 30 you find that 6 and 5 both equal 30 when multiplied and add up to 11
but... we need -11 so if we change the signs both to negative that will give us a -11 when added and also a positive 30 when multiplied (-6)(-5)
so we then write it as (x-6)(x-5)
and if you FOIL that out you will end up getting the original equation :)
hope this helps!
6(−3−x)−2x=14 What is the value of x?
Answer: x=−4
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Help pleaseeee. I’m a little dumb
Answer:
18
Step-by-step explanation:
PEMDAS (order of operation)
4 dived by 2 is 2
2times 5 is 10
10+8 is 18
Four student are each trying to raise the same amount of money for a class trip. The table below shows how much of each student's goal has been met.
Answer:
the answer is 5/8, 65%, 2/3, 0.7
Step-by-step explanation:
Solve the inequality.
||2x−1|−2|>3
Answer:
x > 3
Step-by-step explanation:
Find the midpoint between (1 , -2) and (-10 , 1)
Answer:
5555665555555555555
Answer:
[tex](\frac{9}{2},-\frac{1}{2} )[/tex]
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
The scale of a set of architectural drawings for a house is 1/2 inch = 1 1/2 feet. A drawing shows a model of a room that is 4 inches long. How would you find the actual length of the room? (In other words, how much you find the length, in feet, of the room in real life?)
What is 75% of 30 menutes
Answer:
22.5
Step-by-step explanation:
:)
what is the largest exponent in a polynomial
degree
The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient. The constant in a polynomial has no variable written next to it.
Write rational number -3/8 as the quotient of two integers in two different ways I think the answer is
3/-8 and -3/8
Answer:
sor
Step-by-step explanation:
If a person run 1.3 miles in 10 minutes, how far can he run in 2.5 hours?
Answer:
23.4m
Step-by-step explanation:
1 hour = 60 min
2.5 hours = 180 min
180 ÷ 10 =18
18 × 1.3 = 23.4
PLEASE ANSWER THIS ASAP