Answer:
[tex]38.4\ \text{units of fuel/mile}[/tex]
10
Step-by-step explanation:
Let [tex]N[/tex] represent the number of rail cars on the train
Each rail car adds 2.2 units of fuel per mile.
Fixed fuel consumption is 12 units of fuel per mile
The function of fuel consumption per mile is
[tex]f(N)=12+2.2 N[/tex]
when
[tex]N=12[/tex]
[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]
[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]
[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]
So, the number of rail cars when [tex]f(N)=34[/tex] is 10.
1 $40.00 shirt is on a 10% off sale rack, What is the final price of the shirt 8.25%
tax is applicable?
Answer:
$38.97
Step-by-step explanation:
100% - 10% = 90% = 0.9
$40 × 0.9 = $36
100% + 8.25% = 108.25% = 1.0825
$36 × 1.0825 = $38.97
someone please help look at picture
Write and evaluate the expression. Then, complete the
statements.
Miguel gave away five of the puppies.
Evaluate when p = 7.
Answer:
Step-by-step explanation:
Answer:First, write the expression
✔ p – 5
.
Second,
✔ substitute
7 in for the variable, p.
Third,
✔ simplify
by
✔ subtracting
7 and 5.
The answer is
✔ 2
Step-by-step explanation:
.Rachel goes shopping at HEB. She buys 1.4 pounds of ground beef. The cost per pound for ground beef is $2.50 per pound. She also buys a can of tomato sauce for $1.99 and a package of spaghetti for $1.75. What was the total amount that she paid for these items?
x^2+1=0
What are the roots of this equation?
Thanks!
this is the answer for this question
take a look at the following set of data: 21,74,42,89,51,38,207 what word would describe the data point 133
9514 1404 393
Answer:
"missing"
Step-by-step explanation:
The value 133 is missing from the given data set.
Answer:
missing
Step-by-step explanation:
because its not in the data
what is the answer to 66x10?
Answer:
660
Step-by-step explanation:
66x10
=660.
So the answer is 660
PLZ HELP :)
The graph of linear functions f(x) and g(x) are shown on the graph. Which function is best represented by the graph of g(x)?
A. g(x) = 3f(x)
B. g(x) = f(x)+3
C. g(x) = f(x-3)
D. g(x) = f(x+3)
What is the equation of the line that passes through the point (8,4) and has a slope of 3/2 ?
Answer:
y = [tex]\frac{3}{2}[/tex] x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{3}{2}[/tex] , thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, 4) into the partial equation
4 = 12 + c ⇒ c = 4 - 12 = - 8
y = [tex]\frac{3}{2}[/tex] x - 8 ← equation of line
The equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:
[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or
[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).
Given:
a point on a line: (8, 4)
slope of the line: 3/2
The equation of the line can be written in either point-slope form or slope-intercept form.
First, let's write the equation in point-slope form since we know one of the points and the slope.
Point-slope equation takes the form: y - b = m(x - a)Where,
(8, 4) = (a, b), andm = 3/2Substitute[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] =>> point-slope form.
Also, we can rewrite in slope-intercept form as follows:[tex]y - 4 = \frac{3}{2} (x - 8)[/tex]
Open bracket[tex]y - 4 = \frac{3}{2}x - 12[/tex]
Add 4 to both sides[tex]y - 4 + 4 = \frac{3}{2}x - 12 + 4\\\\y = \frac{3}{2}x - 8[/tex](slope-intercept form)
Therefore, the equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:
[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or
[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).
Learn more here:
https://brainly.com/question/13967935
I need help!
Comepare each pair of fractions using Greater than sign , less than sign and equal to.
Answer:
<< >> >=>= =>=< >><< ><<< >>==
Step-by-step explanation:
Answer:
>,>,>,>
>,>,>,<
<,>,<,>
>,<,<,<
=,=,=,<
the area of a rectangle is 177 square meters the width is 9 meters what is the length of the rectangle
Answer:
19.67
Step-by-step explanation:
divide 177 by 9. the answer is 19.66666667, but you might have to round ;)
Mary made a 48.5% on her math test. Which of the following shows a fraction and a decimal equivalent to 48.5%? 485 A and 0.485 10.000 485 B and 48.5 100 485 С and 4.85 100 485 D and 0.485 1.000
please show me the work I need it right know☹️
B.
you can eliminate A and D because grades are distributed by 100. and c only has 4.85 when the question says she made a 48.5
can someone help me
Answer:
16.25
Step-by-step explanation:
6.5 + 5 = 32.5/2 = 16.25
A 2-column table with 4 rows. Column 1 is labeled Item Sold with entries Microwave Oven, Refrigerator, Dishwasher, Washing Machine. Column 2 is labeled Sale Price with entries 130 dollars, 600 dollars, 300 dollars, 350 dollars.
Rashad works at an appliance store. He earns 10 percent of the total amount he sells. The table shows the amount of sales he made in one day.
What is the total amount of Rashad’s sales?
How much does Rashad earn from his sales?
Answer:
1.) 1,380
2.) 138
Step-by-step explanation:
I know i'm 5 days late but why let the question go to waste
If He earns 10 percent of the total amount he sells, He would Get-
The total amount of Rashad’s sales- 1,380
How much does Rashad earn from his sales- 138
Have a Nice day!
Answer:
1380
138
Step-by-step explanation:
1. What value is equivalent to 3 x 12 - (4 + 2)?
Answer:
30
Step-by-step explanation:
(3x12)-(4+2)
36-6
30
SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)
Answer:
17 / 8
Step-by-step explanation:
sec A = [tex]\frac{1}{cos A}[/tex]
cos A = [tex]\frac{40}{85}[/tex] = [tex]\frac{8}{17}[/tex] ⇒ sec A = [tex]\frac{17}{8}[/tex]
find the total cost or sale price to the nearest cent and write your answer with a dollar sign
$2,500 jet ski; 6.5% tax
Answer:
$2662.5 is the answer in my opinion
Order the set of integers from greatest to least.
{8, 32, 55, 32, 19, 3
Answer:
55,32,32,19,8,3
Step-by-step explanation:
Answer:
55,32,32,19,8,3
Step-by-step explanation:
Juan is making a cookout and needs 5 kilograms of fajita. There are approxiently 450gras in 1 pound. Which measurement is closest to the number of pounds in 5 kilograms
Answer:
The measurement closest to the number of pounds in 5 kilograms is 11.1 pounds
Step-by-step explanation:
To determine the measurement closest to the number of pounds in 5 kilograms,
First, we will convert 5 kilograms to grams. Let the value in grams be x grams.
(NOTE: 1 kilogram = 1000 grams)
If 1 kilogram = 1000 grams
Then, 5 kilograms = x grams
x = (5 × 1000) / 1 grams = 5000 grams
∴ 5 kilograms = 5000 grams
Now, we will determine the measurement closest to the number of pounds in 5000 grams. Let the number of pounds in 5000 grams be y.
From the question,
There are approximately 450grams in 1 pound
If there are 450 grams in 1 pound
Then, there will be 5000 grams in y pounds
y = (5000 × 1) / 450 pounds = 11.1 pounds
y = 11.1 pounds
∴ 5 kilograms = 5000 grams = 11.1 pounds
Hence, the measurement closest to the number of pounds in 5 kilograms is 11.1 pounds.
47 multiplied by 6 is?
Answer:
282
Step-by-step explanation:
47*6=282
Forty seven six times.
Mr. Zhou surveyed his 25 students to find out how much time they spent doing homework each week. The results of his survey are shown in the table below PLS HELP QUICK
Answer:
I think it's 12
Step-by-step explanation: i'm sorry if you got it wrong have the same question to.... sorry
Answer:
it is 12
Step-by-step explanation:
Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)
Answer:
x = 10/9
Step-by-step explanation:
Solve for x:
(4 x)/5 + 4/3 = 2 x
Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:
(12 x)/15 + 20/15 = 2 x
(12 x)/15 + 20/15 = (12 x + 20)/15:
(12 x + 20)/15 = 2 x
Multiply both sides by 15:
(15 (12 x + 20))/15 = 15×2 x
(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:
12 x + 20 = 15×2 x
15×2 = 30:
12 x + 20 = 30 x
Subtract 30 x from both sides:
(12 x - 30 x) + 20 = 30 x - 30 x
12 x - 30 x = -18 x:
-18 x + 20 = 30 x - 30 x
30 x - 30 x = 0:
20 - 18 x = 0
Subtract 20 from both sides:
(20 - 20) - 18 x = -20
20 - 20 = 0:
-18 x = -20
Divide both sides of -18 x = -20 by -18:
(-18 x)/(-18) = (-20)/(-18)
(-18)/(-18) = 1:
x = (-20)/(-18)
The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):
x = (-10)/(-9)
Multiply numerator and denominator of (-10)/(-9) by -1:
Answer: x = 10/9
Please help thank you
Answer:
Step-by-step explanation:
A: quotient
B: dividend
C: divider
Explain how can you use place value to compare 1.679 and 1.697.
Thanks!
Answer:
Well, you look at each individual place value.
1.679 and 1.697
Compare 1 to 1. They are the same. Move on.
Compare 0.6 to 0.6. They are the same. Move on
Compare 0.07 and 0.09. They are not the same. 0.07 is less than 0.09
Therefore 1.679 < 1.697
Hope this helps :)
Please consider Brainliest :)
which equation represents the vertical line passing through (7,-3)
A. x=-3
B. y=-3
C. x=7
D. y=7
Answer:
B- y=-3
Step-by-step explanation:
James bill at a restaurant
is $39.50. If he wants to
tip his server 18% how
much money should he
leave?
Answer:
46.61
Step-by-step explanation:
18% of 39.50 = 7.11
39.50 + 7.11 = 46.61
-4x+5y-x-9y....guys need help
Answer:
-5x-4y
Step-by-step explanation:
Combine like terms:
-4x-x+5y-9y rearrange
-5x-4y.
Hope this helps :D
Mr. Accardi sold 600 tickets for the high school play. If adult tickets cost $6.00 each and student tickets cost $4.00 each, how many of each type of ticket did he sell if $2,900.00 was collected in ticket money?
Given:
Total number of tickets = 600
Cost of adult ticket = $6.00
Cost of student ticket = $4.00
Total sales = $2900.00
To find:
The number of tickets of each type.
Solution:
Let the number of adult tickets be x and number of student tickets be y.
According to the question,
[tex]x+y=600[/tex] ...(i)
[tex]6x+4y=2900[/tex] ...(ii)
Multiply equation (i) by 4 and subtract the result from (ii),
[tex]6x+4y-4(x+y)=2900-4\times 600[/tex]
[tex]6x+4y-4x-4y=2900-2400[/tex]
[tex]2x=500[/tex]
Divide both sides of 2.
[tex]x=250[/tex]
Put x=250 in (i).
[tex]250+y=600[/tex]
[tex]y=600-250[/tex]
[tex]y=350[/tex]
Therefore, number of adult tickets is 250 and number of student tickets is 350.
You and your friend went shopping. You bought 2 hats and 3 pairs of gloves for $28.25. Your friend bought 1 hat and 1 pair of gloves for $12.25. How much did one hat cost? How much did one pair of gloves cost? (Answers should reflect the real world scenario by including appropriate units.)
Answer:
One pair of gloves costs $3.75.
Step-by-step explanation:
Systems of equations
x=hats y=gloves
2x+3y=28.25
x+y=12.25
2(12.25-y)+3y=28.25
24.5+y=28.25
y=3.75
Find the distance traveled at 35 mi./hr for 2.5 hr
Answer:
5.0
Step-by-step explanation:
Answer: 87.5 miles
Step-by-step explanation:
Using the distance formula, S*T=D
35*2.5=87.5 miles
Hope is this helpful! :DD