Answer:
300
Step-by-step explanation:
12 gal x 25 miles = 300 miles he can go before needing more gas
In the given figure QR ∥AB, RP∥ BD,CQ=x+2,QA=x,CP=5x+4,PD=3x.The value of x is
Answer:
by BPT it will be solved
Step-by-step explanation:
CQ/QA=CP/PD
x+2/x=5x+4/3x
by cross multiplication
answer will be 1
Parallel sides are sides that are equidistant from one another. The value of x is 1
Given that:
[tex]CQ = x + 2\\QA = x\\CP = 5x + 4\\PD = 3x[/tex]
Since:
QR & AB are parallel, and RP & BD are parallel.
Then by theorem of similarities:
[tex]\frac{CQ}{QA} = \frac{CP}{PD}[/tex]
This gives:
[tex]\frac{x+2}{x} = \frac{5x + 4}{3x}[/tex]
Multiply both sides by 3x
[tex]3x \times \frac{x+2}{x} = \frac{5x + 4}{3x} \times 3x[/tex]
[tex]3 \times (x+2) = 5x + 4[/tex]
Open bracket
[tex]3x+6 = 5x + 4[/tex]
Collect like terms
[tex]5x - 3x = 6 -4[/tex]
[tex]2x = 2[/tex]
Divide both sides by 2
[tex]x = 1[/tex]
Read more about parallel sides at:
https://brainly.com/question/1674780
D is between C and E. CE = 6x, CD = 4x + 8, and DE = 28. Find CE.
Please Answer ASAP!!!
(BTW it's high school geometry)
Answer:
CE=108
Step-by-step explanation:
*I don't have my phone with me so I can't add a picture of what I drew*
First, draw a line. On one end, write C. On the other end, write E. In the middle of them, write D. The question states that CE=6x, so on the bottom of the line, write 6x. On top on the first half write 4x+8 (between C and D). On the other half between D and E write 28.
According the the information we have been given and the diagram we made, CD+DE=CE. Hence, (4x+8)+28=6x
(4x+8)+28=6x (subtract four from both sides)
8+28=6x-4x (combine like terms)
36=2x (divide two from both sides)
x=18
Now, substitute 18 for x in 6x (CE=6x)
CE=6(18)
CE=108
I hope this helped :DD
Elena has some bottles of water that hold 17 fluid ounces each.
A. Write and equation that relates the number of bottles of water (b) to the total volume of water (w) in fluid ounces.
B. How much water is in 51 bottles?
C. How many bottles does it take to hold 51 fluid ounces of water?
Answer:
Step-by-step explanation:
A: W=17b
B: 867
C: 7.28
x-4 is greater than -8 in interval notation
Answer:
x
−
4
=
−
8
=
Step-by-step explanation:
solve -3/8y=-24 urgent it’s a timed test!
Answer:
y = 64Step-by-step explanation:
-3/8y = -24
-3y = -24 (8)
y = -192 / -3
y = 64
Choose the letter of the correct answer Write the chosen letter on a separate sheet of
1. The measure of the volume of a rectangular solid is a'b - 63b27a-9ab? Find the dimensions of the
solid
A.(a + 3b). (a - 3b), and (ab + 7)
C. (a + 3b). (3a - 3b), and (ab + )
B.(3a+ 3b). (a - 3b), and (ab + 7)
D. (a + 3b). (a-35), and (ab + 3)
2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than
times its width. If the floor area is to be 256 square meters, what must be the length and width of the building?
A.6 meters long and 16 meters wide C. 8 meters long and 32 meters wide
B.30 meters long and 10 meters wide D. 32 meters long and 8 meters wide
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the weidin
of the room?
A. 10 units
B. 11 units
C 12 units
D. 13 units
D. 2b + 10
4. One of the factors of 2b2 + 15b-50 is b +10. What is the other factor?
A.2b - 10
B. 2-5
0. 2b +5
5. The area of the nachos is 15x - 10x square centimeters. If the base is 5x centimeters, which is the length of
the height?
A. 3x - 2 cm.
B. 3x + 2 cm
C. 6x-4 cm
D. 6x + 4 cm
pose
This question was not properly written
Complete Question
Choose the letter of the correct answer Write the chosen letter on a separate sheet of
1. The measure of the volume of a rectangular solid is a²b - 63b²-9ab³? Find the dimensions of the
solid
A.(a + 3b). (a - 3b), and (ab + 7)
C. (a + 3b). (3a - 3b), and (ab + 3 )
B.(3a+ 3b). (a - 3b), and (ab + 7)
D. (a + 3b). (a-3b), and (ab + 3)
2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than
times its width. If the floor area is to be 256 square meters, what must be the length and width of the building?
A.6 meters long and 16 meters wide C. 8 meters long and 32 meters wide
B.30 meters long and 10 meters wide D. 32 meters long and 8 meters wide
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the weidin
of the room?
A. 10 units
B. 11 units
C 12 units
D. 13 units
4. One of the factors of 2b2 + 15b-50 is b +10. What is the other factor?
A.2b - 10
B. 2-5
C. 2b +5
D. 2b + 10
5. The area of the nachos is 15x² - 10x square centimeters. If the base is 5x centimeters, which is the length of
the height?
A. 3x - 2 cm.
B. 3x + 2 cm
C. 6x-4 cm
D. 6x + 4 cm
Answer:
1 A.(a + 3b). (a - 3b), and (ab + 7)
2 D. 32 meters long and 8 meters wide
3 A. 10 units
4 B. 2b -5
5. C. 6x - 4 cm
Step-by-step explanation:
Choose the letter of the correct answer Write the chosen letter on a separate sheet of
1. The measure of the volume of a rectangular solid is a²b - 63b²-9ab³? Find the dimensions of the
solid
We pick the options one after the other
A.(a + 3b). (a - 3b), and (ab + 7)
(a² -3ab + 3ab -9b²)(ab + 7)
(a² - 9b²) (ab + 7)
a²b - 9ab³ - 63b²
C. (a + 3b). (3a - 3b), and (ab + 7 )
(3a² - 3ab + 3ab -9b³)(ab + 3)
(3a² - 9b³)(ab + 3)
3a³b + 21ab² - 9b⁴a - 27b³
B.(3a+ 3b). (a - 3b), and (ab + 7)
(3a² - 9ab + 3ab - 9b²)(ab + 7)
(3a² - 6ab - 9b²)(ab + 7)
3a³b +21a² - 6a²b² + 42ab - 9ab³ - 63
D. (a + 3b). (a-3b), and (ab + 3)
(a² -3ab + 3ab - 9b²)(ab + 3)
(a² - 9b²) (ab + 3)
a³b + 3a² - 9ab³ - 27b²
Therefore, option A.(a + 3b). (a - 3b), and (ab + 7) is the correct option
2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than 3 times its width . If the floor area is to be 256 square meters, what must be the length and width of the building?
Area of a rectangle = Length × Width
Length of the building is to be 8 meters more than times its width.
= Length = 3W + 8
Area = 256m²
Hence:
256 =( 3W + 8 )× W
256 = 3W² + 8W
= 3W² + 8W - 256
Factorise
= 3W(W - 8) + 32(W - 8)
= (3W + 32) ( W - 8)
W - 8 = 0
W = Width = 8m
Length = 3W + 8
Length = 3(8) + 8
= 24 + 8
= 32m.
D. 32 meters long and 8 meters wide
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the width
of the room?
A. 10 units
B. 11 units
C 12 units
D. 13 units
Area = Length × Width
The width is 3 meter less than its length
W = L - 3
Area = 130 square units
Hence:
130 = L (L - 3)
130 = L² - 3L
L² - 3L - 130
= L² + 10L - 13L - 130
= L(L + 10) - 13(L + 10)
= (L - 13) (L + 10)
L - 13 = 0
L = Length = 13 units
L + 10 = 0
L = -10 units.
W = L - 3
L = 13 units
W = 13 - 3
W = 10 units
Therefore, the width of the room is 10 units
A. 10 units
4. One of the factors of 2b² + 15b-50 is b + 10. What is the other factor?
A.2b - 10
B. 2b -5
C. 2b +5
D. 2b + 10
2b² + 15b -50
One of the factors is b +10.
We factorise
2b² + 15b - 50
= 2b² + 20b - 5b - 50
= 2b(b + 10) - 5(b + 10)
= (2b - 5) (b + 10)
The other factor is 2b - 5
B. 2b -5
5. The area of the nachos is 15x² - 10x square centimeters. If the base is 5x centimeters, which is the length of
the height?
A. 3x - 2 cm.
B. 3x + 2 cm
C. 6x-4 cm
D. 6x + 4 cm
Nachos are triangular in shape
Area of a triangle = 1/2 × Base × height
A = 1/2 bh
A = bh/2
2A = bh
h = 2A/b
The area of the nachos is 15x - 10x square centimeters. If the base is 5x centimeters,
h = 2(15x² - 10x)/5x
h = 30x² - 20x/5x
h = 30x²/5x - 20x/5x
= 6x - 4 cm
the length of the height is:
C. 6x - 4 cm
I need help with this question
Answer:
2x-y = 2
Step-by-step explanation:
Answer:
2x-y=2
hope it helps
thank you
A hotel patron starts at the fifth floor and goes up seven floors to meet a friend. How many levels, and in which direction, must they take the elevator to get to Parking A? Express your answer in one or more complete sentences.
Answer:
they must go 12 floors downwards because parking A has to be on the last floor
Answer:
they other person is somewhat correct
Step-by-step explanation:
Given Sine (30 degrees) = one-half and Cosine (30 degrees) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction, use trigonometric identities to find the the value of cot(30°).
Answer:
D
Step-by-step explanation:
its right on edge
Answer:
D. \sqrt(3)
Step-by-step explanation:
Solve the following rational equation for x+2/3 2x-4/2
Answer:
2.667
Step-by-step explanation:
I have learned how to do this. I hope it is right! (;
MATTRICES PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!
Answer:
I think the best answer for me would be c if thats wrong sry
I hope this helps :)
Solve for X.
6(x-1) =9(x +2)
Answer:
x=-8
Have a wonderful day!!!
Three scoops of whey powder contain 45 grams of protein. How many scoops of whey powder contain 135 grams of protein?
Please help ‼️
The answer is 405 because if you multiply 3 and 135 that would lead you to your answer.
Given: AB = CDProve: AC = BD
Answer:
it would be helpful if there was a diagram but ill write a proof below of how I would solve a problem. however, it may not be what ur looking for as the question is unclear
1) AB=CD - given
2) BC = BC - reflexive
3) AB+BC=CD+BC- addition property of equality
4)AC= BD - substitution
PLS HELP WILL GIVE BRAINLIEST!! What is the average of these three numbers: 6.72, 8.40, 8.40
Answer: 7.36
Step-by-step explanation:
avg = (6.72 + 8.40 + 8.40)/3 = 23.52/3 = 7.36
How much is 40 gallonsMai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table below and answer the following questions. time (minutes) water (gallons) Please help asap!!
Select all choices that can fill in the blank to make the statement true.
-5 is the
5.
A
additive inverse of
B
additive equivalent of
C
opposite of
D
same as
Answer:
A
Step-by-step explanation:
determine the effects on the graph of the parent function f(x)=x+10 when g(x)=0.3f(x)
Answer:
First, remember the definition of a vertical contraction/dilation.
If we have a function f(x), and we dilate it with a factor A, such as:
g(x) = A*f(x).
If A is larger than 1, then we are dilating the graph of f(x)
if A is smaller than 1, then we are contracting the graph of f(x).
In this case we have:
f(x) = x + 10 and g(x) = 0.3*f(x) = 0.3*x + 0.3*10 = 0.3*x + 3.
A = 0.3
then we have a contraction.
From this, we can conclude that the effects of this transformation in the graph will be that the graph of g(x) will be a vertical contraction of the graph of f(x).
(Where contracting means that in a given interval [x1, x2] the associated interval [f(x1), f(x2)] will be larger than [g(x1), g(x2)])
Below you can see both graphs, and see the difference between them, where green is f(x) and blue is g(x)
how do you solve this equation shown?
5x - 3(x + 9) + 10 = 4
Answer:
[tex]x = \frac{21}{2}[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5x − 3(x+9) + 10 = 4
5x + (−3)(x) + (−3)(9) + 10 = 4 (Distribute)
5x + −3x + −27 + 10 = 4
(5x+−3x) + (−27+10) = 4 (Combine Like Terms)
2x + −17 = 4
2x − 17 = 4
Step 2: Add 17 to both sides.
2x − 17 + 17 = 4 + 17
2x = 21
Step 3: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{21}{2}[/tex]
[tex]x =\frac{21}{2}[/tex]
Hope it helps!!
Which fraction is equivalent to 0.16 repeating
Answer:
We need a reference to do this with but i would say 6/16
Step-by-step explanation:
I am a brainly helper
Sam drove from San Diego (elevation 210 feet) to the Grand Canyon (elevation -247 feet). What is the difference in elevation between San Diego and the Grand Canyon?
Answer:
The difference is elevation is 457 feet.
Step-by-step explanation:
You simply add the two numbers together.
So please answer................
Answer:
The answer is 3 ft
Step-by-step explanation:
3×9=27
Hope it helps :)
3x 45 help Pleasssssse
Answer:135
Step-by-step explanation:45+45=90 90+45=135
cheetah can run 70 miles per hour. What is this speed in feet per hour? *
Answer:
369600 feet per hour
Step-by-step explanation:
1m = 5280ft
5280 x 70 = 369600
Answer:
369,600 feet per hour
Step-by-step explanation:
1 mile = 5,280 feet
70 mph (cheetah's speed) x 5,280 feet (feet in 1 mile) = 369,600 feet (cheetah's speed in feet)
is 3/17 rational or irrational
Answer:
A rational number is a number that can be put in the form p / q where p and q are integers.
3 and 17 are integers
3 / 17 is rational
please helpppppppppp
Answer:
the popularity keeps going up i wount give the euashions though i dont know them.
Step-by-step explanation:
For every pound a company spends on advertising, it spends £0.51 on its website. Express the amount spent on advertising to its website as a ratio in its simplest form.
Answer:
I think it is 0.51? (I am complety off aren't I/)
Step-by-step explanation:
A school orders 12 boxes of dice. Each box contains six bags of dice. Each bag contains
35 dice. How many dice do the school order in total?
Answer: 2520 Dice.
Step-by-step explanation:
1. Multiply 35 Dice by 6 Bags (You should get 210)
2. Multiply the amount of dice (210) by 12 Boxes (You should get 2520 Dice)
There ya go!
Any Questions?
on of Tho Mcd
8. Write the standard form of the equation y + 4 = - 12 (x – 1).
Answer:
12x + y = 16
Step-by-step explanation:
Standard Form: Ax + By = C
Step 1: Write point-slope form
y + 4 = -12(x - 1)
Step 2: Find slope-intercept form
y + 4 = -12x + 12
y = -12x + 16
Step 3: Find standard form
12x + y = 16
I WILL BRAINLEIST PLEASEMegan earned $4 an hour for babysitting. She earned $16 on Saturday. How many hours did she babysit?
Answer:
4 hours
Step-by-step explanation:
16/4= 4