The number of miles a car can drive varies directly with the number of gallons of gas in
the car. If the car can go 81 miles on 3 gallons of gas, how many gallons does the car
need to go 378 miles?
Answer:
14 gallons
Step-by-step explanation:
Answer:
14 gallons
Step-by-step explanation:
17. Let f(x) = 2x2 + 5x + 6 and g(x) = 3x2 + 4x – 10.
a Find f(x) + g(x)
b. Find f(x) – g(x)
Step-by-step explanation:
f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)
Combine like terms
5x^2 + 9x -4
f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)
Distribute the negative
(2x^2 + 5x +6) + (-3x^2 -4x + 10)
Combine like terms
-x^2 +x +16
7.83 x 10-11
Write in standard from
Answer:
0.0000000000783
Step-by-step explanation:
Since the exponent is negative you will move the decimal point 11 places to the left, including the number 7.
What is the image point of (3, -3) after a translation left 3 units and up 4 units?.
Answer:
(0, 1)
Step-by-step explanation:
(x, y)
Left and Right movement deals with the x value
Up and Down movement deals with the y value
3 units left = -3
4 units up = +4
(x - 3, y + 4)
(3 - 3, -3 + 4)
(0, 1)
The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex].
Determination of the coordinates of resulting point after translationGeometrically speaking, a translation is determined by following formula:
[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)
Where:
[tex]V(x,y)[/tex] - Original point[tex]T(x,y)[/tex] - Translation vector[tex]V'(x,y)[/tex] - Resulting pointIf we know that [tex]V(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-3, 4)[/tex], then the coordinates of the resulting point are, respectively:
[tex]V'(x,y) = (3, -3) + (-3, 4)[/tex]
[tex]V'(x,y) = (0, 1)[/tex]
The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex]. [tex]\blacksquare[/tex]
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solve the equation
-4(x - 26) = -200
Answer:
x=76
Step-by-step explanation:
-4(x - 26) = -200
x-26=50
x=50+26
x=76
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Step-by-step explanation:
-4x+104=-200
-4x=-200-104
-4x=-304
x=-304÷(-4)
×=76
What is the value of p? Please provide an explanation, thanks!
Answer:
p = 2?
Step-by-step explanation:
6 - 4 = 2
4 + _ = 6 (2)
2 + 2 = 4
Answer:
Step-by-step explanation:
6p - 4 + 4p + 6 + p + 2 = 180
11p + 4 = 180
11p = 176
p = 16
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Answer:
x = 10, x = 124
Step-by-step explanation:
(5)
Since Δ JKL is isosceles then the base angles are congruent, that is
∠ LJK = ∠ LJG = 80° , thus
∠ JLK = 180 - (80 + 80) = 180 - 160 = 20
x = 20 ÷ 2 = 10
(6)
Since Δ PQR is equilateral, then each of its angles = 60°
∠QRS = 60° - 32° = 28°
Since Δ SQR is isosceles then base angles are congruent, then
∠ SQR = ∠ QRS = 28 , thus
x = 180 - (28 + 28) = 180 - 56 = 124
answer :
x = 10, x = 124
PLEASE HELP ME ASAP RIGHT ANSWERS ONLY
You work 4 hours on Monday, 4.5 hours on Tuesday, 7.25 hours on Thursday, and 12 hours on Saturday. If you get paid $11.52 per hour, what is your total pay for the week
Will give brainliest
Answer:
idk
Step-by-step explanation:
The product of 4 and the sum of a number x and 8
Answer:
8(x+3)
Explanation:
"The product of 8 and" means 8 is going to be multiplied times another quantity. "...the sum of a number x and 3" means that 8 is going to be multiplied times (x+3).
This is represented by 8×(x+3), which simplifies to 8(x+3).
The chart shows the distances, in miles, between some towns and cities.
Toby lives in Wrexham and works in Oswestry.
Wrexham
18
Ruthin
a) Use the chart to find the road distance
between Wrexham and Oswestry.
15
21
12
Corwen
15
33
23
Oswestry
Sarah lives in Ruthin and works in Oswestry for
5 days a week. Each day she travels to and
from work using the route shown on the map.
MOLD
ROTHEN
WRESTHAM
b) How many miles, in total, does she travel to
and from work each week? 231 miles
CORNEN
OSWESTRY
Choose CI
Answer:
part a)15
part b)330
Step-by-step explanation:
(a) The road distance between Wrexham and Oswestry is 15 miles.
(b) The number of miles Sarah travels to and from work each week is 330 miles.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
Given a chart of the road distances between various towns and cities.
(a) From the chart,
Distance the corresponds to Wrexham and Oswestry = 15 miles
Road distance between Wrexham and Oswestry is 15 miles.
(b) Distance between Ruthin and Oswestry = 33 miles
Total distance travelled to and from work in a day = 33 × 2 = 66 miles
She works 5 days a week.
Total distance travelled for 5 days = 66 × 5 = 330 miles
Hence the number of miles travelled by Sarah in a week is 330 miles.
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The chart is given below.
Please help me out!!!!!
PLEASE HELP LIKE RN, thank you so much
Answer:
Facts.
Step-by-step explanation:
3x - 7 = 29
What is x
Answer:
x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3x - 7 = 29
Step 2: Solve for x
Add 7 on both sides: 3x = 36Divide 3 on both sides: x = 12Step 3: Check
Plug in x to verify it's a solution.
Substitute: 3(12) - 7 = 29Multiply: 36 - 7 = 29Subtract: 29 = 29Here we see that 29 does indeed equal 29.
∴ x = 12 is a solution of the equation.
PLEASE WILL GIVE BRAINLIEST!!
Step-by-step explanation:
Hey there!
Here;
A triangle is given with different measurements.
To find: value of p.
5 p = 2p+21° + 45° {The external angle is equal to the sum of opposite adjacent interior angles}
or, 5p - 2p = 21°+45°
3p = 66°
p = 66°/3
Therefore, the value of "p" is 22°.
Hope it helps....
Brainliest 5 stars Thanks! (running out of time and points sorry)
What is an equation of the line that passes through the points (7, 6) and (-2, -3)?
Answer:
y=1x-1
Step-by-step explanation:
m=y2-y1/x2-x1
-3-6=(-9)
-2-7=(-9)
-9/-9=1
6=1*7+b
1*7=7
7-7=0
6-7=-1
b=-1
y=1x-1
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Jenna multiplied four numbers together and then divided by -2. The result was a positive value.
Which of the following statements MUST be true?
An odd number of factors were negative.
None of the factors were negative.
An even number of factors were negative.
All of the factors were negative.
Answer:
natatae ako shuta hehhe
de joke lang
Answer: C: An odd number of factors were negative.
Step-by-step explanation:
a positive number being the answer an odd number number of factors would be needed for it to be
write 56.78 correct to one significant number
Answer:
60
Step-by-step explanation:
write the coordinates obtained after the given translation
Answer:You would just have to add 4 to all of the x values and add 5 to all the y values
Step-by-step explanation:
At the Roseville Middle School Spring Festival, Ellen is running the egg-dying station. She
needs 5 tablespoons of vinegar for every 2 color tablets she uses. Ellen plans to use 16 color
tablets.
How many tablespoons of vinegar will Ellen need?
HELP THIS IS AN EMERGENCY
Answer:
40 tablespoons of vinegar
Step-by-step explanation:
the ratio is 2-5 so if you have 16-x you divide 16 by 2 and multiply with your quotient to the 5, which would be
2-5
16-x
16-5^8
16-40
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.
5 tablespoons = 2 color tablets.
40 tablespoons = 16 color tablets
The number of tablespoons of vinegar required is 40.
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,
She needs 5 tablespoons of vinegar for every 2 color tablets she uses.
This means,
5 tablespoons = 2 color tablets.
Multiply 8 on both sides.
8 x 5 tablespoons = 8 x 2 color tablets.
40 tablespoons = 16 color tablets
Thus,
The number of tablespoons of vinegar required is 40.
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on a number line, 1.38 would be located. choose all answers that make a true statement
A. to the right of 1.29
B. to the left of 1.36
C. between 1 and 2
D.between 0 and 1
Awnser: C, A.
Reasoning: On a number line, the bigger number is to the right tthe lower number. for A. For C, it is between 1 and 2 because the number is 1.38.
Determine the values of X
Step-by-step explanation:
x+66+52=180
x=180-66-52
x=180-118
x=62
HELP ASP!!❤️
WILL GIVE BRAINLIEST!...
Find the slope of the line. Enter your answer in simplest form.
Answer:
[tex]m=\frac{-4}{3}[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-6, 5)
Point (3, -7)
Step 2: Find slope m
Substitute: [tex]m=\frac{-7-5}{3-(-6)}[/tex]Simplify: [tex]m=\frac{-7-5}{3+6}[/tex]Subtract/Add: [tex]m=\frac{-12}{9}[/tex]Simplify: [tex]m=\frac{-4}{3}[/tex]Answer:
the slope is -4/3
Step-by-step explanation:
m=y2-y1/x2-x1
-7-5=(-12)
3-(-6)=9
-12/9
-12/3=(-4)
9/3=3
-4/3
hope this helps :3
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(-4, 12) and (-7, -3)
(Write an equation of the line in point slope form that passes through the giving points)
Answer:
5
Step-by-step explanation:
Use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-3-12}{-7-(-4)}[/tex] = [tex]\frac{-15}{-3}[/tex] = 5
T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to set up the mouse pad design. The total cost of an order was $562. How many mouse pads were printed?
A:47
B:275
C:550
D:281
Answer: 275
Step-by-step explanation:
I need help on the word problem with
hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj
Answer: x>11
Step-by-step explanation:
which expression is equivalent to sin(pi/12)cos(7pi/12)-cos(pi/12)sin(7pi/12)? a) cos(-pi/2) b) sin(-pi/2) c) cos(2pi/3) d) sin(2pi/3)
Answer:A
Step-by-step explanation:
Edge 2020
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
What is trigonometric expression?Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.
It is one of the identities of trigonometry
sinAcosB - cosAsinB = sin(A - B)
Given expression
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]
It is in form of sinAcosB - cosAsinB = sin(A - B)
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]
Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
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What is the value of c?
Will give brainliest if correct.