Answer:
8 miles
Step-by-step explanation:
Given
Represent the police station with P, Library with L; Fire station with F
The first statement can be represented as:
[tex]L - P = P - F - 3[/tex]
The second can be represented as:
[tex]L - P = 5[/tex]
Required
Determine the distance between the police station and the fire station (P - F)
[tex]L - P = P - F - 3[/tex] --- (1)
[tex]L - P = 5[/tex] --- (2)
Substitute 5 for L - P in (1)
[tex]5 = P - F - 3[/tex]
Add 3 to both sides
[tex]3 +5 = P - F - 3 + 3[/tex]
[tex]3 +5 = P - F[/tex]
[tex]8= P - F[/tex]
[tex]P - F = 8[/tex]
find the distance traveled in 15 seconds by an object moving with a velocity of v(t)= 20 + 3t feet per second where t is the time in seconds.
Answer:
4 because you divide 3 and 15 by three which gives you 5 then divide 20 by that gives you 4
A truck can be rented from Company A for $150 a day plus $0.40 per mile. Company B charges $80 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
140 miles
Step-by-step explanation:
Let
Number of miles = m
Total cost = fixed cost + variable cost
Company A = $150 + $0.40m
Company B = $80 + $0.90m
Equate company A and company B equation
Company A = Company B
$150 + $0.40m = $80 + $0.90m
Collect like terms
150 - 80 = 0.90m - 0.40m
70 = 0.50m
m = 70 / 0.50
= 140
m = 140 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is 140 miles
Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. one pound of oranges cost $0.75 more than one pound of bananas let b represent the price per pound of bananas. Which equation represents the situation, and what is the price per pound of each fruit? 3b + 2b = 4.50; $0.90 per bananas, $0.90 per pound of oranges 3b + 2(0.75) = 4.50; $1.00 per bananas, $1.75 per pound of oranges 3b + 2(b + 0.75) = 4.50; $0.60 per bananas, $1.35 per pound of oranges 3b + 2b = 4.50; $1.35 per bananas, $0.60 per pound of oranges
Given:
Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.
One pound of oranges cost $0.75 more than one pound of bananas.
To find:
The equation which represents the situation, and what is the price per pound of each fruit.
Solution:
Let b represent the price per pound of bananas.
Cost of 3 pound of banana = $3b
One pound of oranges cost $0.75 more than one pound of bananas.
So, cost of one pound of oranges = $(b+0.75)
Cost of 2 pound of oranges = $2(b+0.75)
Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.
[tex]3b+2(b+0.75)=4.50[/tex]
Therefore, the required equation is [tex]3b+2(b+0.75)=4.50[/tex].
On solving the above equation, we get
[tex]3b+2b+1.50=4.50[/tex]
[tex]5b=4.50-1.50[/tex]
[tex]5b=3[/tex]
Divide both sides by 5.
[tex]b=\dfrac{3}{5}[/tex]
[tex]b=0.60[/tex]
Now,
[tex]b+0.75=0.60+0.75=1.35[/tex]
Therefore, the price of fruits are $0.60 per bananas, $1.35 per pound of oranges.
Hence, the correct option is C.
Plz, help me!!!
Write each interval as an inequality. Then graph the solutions. (–∞,5)
The interval notation given to us means that x is between negative infinity and 5, excluding both endpoints.
So we can write [tex]-\infty < x < 5[/tex] which shortens to [tex]x < 5[/tex]
The graph will have an open hole at 5 on the number line, and shading to the left to indicate all points smaller than 5.
How do I solve this!
Answer:
45
Step-by-step explanation:
7 x 9 = 63
So, you would multiply 5 by 9 too:
5 x 9 = 45
Hope this helps!
What is the value of the product (3 – 2i)(3 + 2i)?
5
9 + 4i
09 - 4i
0 13
Answer:
13
Step-by-step explanation:
(3-2i)(3+2i)
3×3+3(2i)-2i×3-2i(2i)
13
Hope this helps! :)
Answer: 13
Step-by-step explanation:
got it right
Please look at the image.
Answer:
It is the first option
Step-by-step explanation:
hope this helps you
-23 = 13w + 2w + 22
w =
Answer:
w=-3
Step-by-step explanation:
Sorry, but I also need help on this
Which of the following decimals would round to 6.6? *
6.723
6.526
6.57
6.49
Answer:
6.57
Step-by-step explanation:
if if you round 6.57 up in the tens place you will get 6.6
Ted determined that the length of the diagonal of his square-shaped lawn was start root 83 end root feet. Which is closest to the length in feet of the diagonal of Ted's lawn?
A8
B.9
C.41
D.166
Answer:
166
Step-by-step explanation:
Just Add 83+83=166
the difference of three times a number x and 4
Answer:
3x - 4
Step-by-step explanation:
Difference means subtraction.
Times means multiplication.
Three times a number x; 3 * x = 3x
3x - 4
Best of Luck!
It's not mentioned exactly what we have to do but can be predicted that we have to frame equation on the basis of the given data.
Given, the number to be considered is x
Three times x = 3x4 is subtracted = -4The required equation will be:
➝ 3x - 4
And this is only our final answer. And we are done !
Carry On Learning [tex]![/tex]
HELP WILL GIVE CROWN!!!!!
Answer:
d
Step-by-step explanation:
i know this question cause i got a A +on the test dont worry
Answer:
C. 9.6×10^7 kmStep-by-step explanation:
Given the distance
9.6×10^10 mConverted into km, considering 1 m = 10^-3 km:
9.6×10^10 × 10^-3 km = 9.6×10^(10 -3) km = 9.6×10^7 kmCorrect option is C
1) Mr. Turnage spent $800 on a new computer. He used his debit card to
make this purchase. In his bank account he had $783. What will his bank
account balance show after making this purchase?
Answer:
-62, because he didn't have enough of his money since he was using debit.
2) A square and a rectangle have the same perimeter. The square has a side length of 6 x units. The
rectangle has a length of (5x + 8) and a width of 6 units. For what value of x, will the square and
rectangle have the same perimeter?
30x usb
a. 2
30 x 54 = 30x 54
b. 4
C. 5
d. 3
Answer:
The value of X should be 8
Whats the domain and range
Answer:
d= all the x values
r=all the y values
Step-by-step explanation:
Find the result when 85 is increased by 20%.
Answer:
102
Step-by-step explanation:
20% of 85 is 17.
85+17 = 102
hope this helps! :)
Answer:
102
Step-by-step explanation:
To find the new amount, multiply 85 by 1.2
85(1.2)
= 102
So, when 85 is increased by 20%, the result is 102.
If M is the midpoint of segment AB, and AM = x+3 and AB = 3x-4, determine the length of segment AB.
Answer:
AB=2AM
3x-4=2(x+3)
3x-4=2x+6
3x-2x=4+6
x=10
So length AB 3x-4=3(10)-4
30-4=26
The length of AB is 26 units.
What is a line segment ?A line segment is denoted by two endpoints.
According to the given question M is the midpoint of segment AB.
Given, AM = x + 3 and AB = 3x - 4.
As AM is the midpoint if we take twice of AM that will be equal to AB.
∴ 2(AM) = AB
2(x+3) = 3x - 4.
2x + 6 = 3x - 4.
2x - 3x = -4 - 6.
-x = - 10.
x = 10.
So the length of the line segment AB will be (3x - 4) = 3(10) - 4 units.
= 30 - 4
= 26 units.
learn more about line segment here ;
https://brainly.com/question/25727583
#SPJ2
A number k is greater than 3. Which of the following is true about 3 k ?
HELP!!!
Your health insurance premium is $225 monthly. Your deductible is $2000, how much will your health insurance premium and deductible cost you annually?
A. $2700
B. $4700
C.$5500
D.$2000
Find the distance between the two points in simplest radical form.
(-5,8) and (-3,1)
Answer:
√ 53
Step-by-step explanation:
Answer:
Step-by-step explanation:
GIVING BRAINLIEST!!!!!!
SOLVE FAST
Answer:
Step-by-step explanation:
a(x) = 3x + 2
-3,0,5,6
a(-3) = 3*(-3) + 2
a(-3) = - 9 +2
a(-3) = - 7
===============
a(0) = 3*0 + 2
a(0) = 2
================
a(5) = 3*5 + 2
a(5) = 15 + 2
a(5) = 17
================
a(6) = 3*6 + 2
a(6) = 18 + 2
a(6) = 20
The measure of the supplement of an angle is three times the measure of the
angle.
Find the measures of the angle and its supplement.
Let the angle to be solved be x
Let the supplement/compliment by y
x+y=90 Complimentary angles add up to 90 degrees.
x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.
Evaluating this as a system:
x+y=90 Isolate x:
x=90−y Input into the other equation:
(90−y)+3y=180 Combine like terms, isolate y and its coefficients:
2y=90 Isolate y
y=45 Input into the first equation:
x+45=90 Isolate x:
x=45degrees
The y-intercept is...
Hey love, if the question itself is what the y-intercept stands for then it's the point when the line passes the y axis. if that wasn't your question give me some more context and i'll try my best to help!
What is 2.8 divides by 0.4? Please Show your work.
HELP ME PLZZ I NEED HELP WITH THIS!!
Answer:
it is C
Step-by-step explanation:
it is c because all of the other answers are stated in the article, and a opinion is something you think
−60 = −0.8k
What does K answer?
PLA ANSWER
Answer:
75 = k
Step-by-step explanation:
−60 = −0.8k
Divide each side by -.8
−60/-.8 = −0.8k/-.8
75 = k
Janae needs to solve the equation 3x + 5/16 = 3/4 - 1/8x - 1/2. What is an advantage of using the multiplication property of equality before combining like terms using other properties? In your explanation, tell the value by which you would multiply both sides.
Answer:
Step-by-step explanation:
Given the expression 3x + 5/16 = 3/4 - 1/8x - 1/2
First we need to use the multiplication prope-rty before combining the like terms. The importance of this is to covent all fraction's to whole numbers.
Multiply through by 16
48x+5= 12-2x-8
Next is to collect the like terms
48x+2x = -8+12-5
50x = -1
Divide both sides by 50
50x/50 = -1/50
x = -1/50
The value used to multiply both sides is 16 and the value of x is -1/50
Combine Like Terms
9x + 5 – 6 – 8x + 2
-6s + 7 + 10x – 5
Distribute
-5(2x + 7)
4(-3x + 6)
Equations: Solve for the variable (show all work – circle answer)
2y = -8
x7
= 6
2x – 6 = 10
Answer:
9x+5-6-8x+2
=(9x-8x)+(5-6+2)
=(x)+(+1)
=x+1
The two figures are similar. Find the ratios (red to blue) of the perimeters and of the areas. Write the ratios as fractions in simplest form.
Answer:
is there an example? or picture?