One gallon of gasoline in Buffalo,new York costs $2.29 .Across the border in Toronto,Canada, one liter of gallon costs $0.91
Complete question :
One gallon of gasoline in buffalo, New York costs $2.29. In Toronto, Canada, one liter of gas costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto?
Answer:
$3.458
Step-by-step explanation:
Given that :
Cost per gallon in Buffalo, New York = $2.29
Cost per Litre in Toronto, Canada = $0.91
Number of litres in 1 gallon = 3.8
The cost per gallon in Toronto, Canada will be :
3.8 * cost of a Litre
3.8 * $0.91 = $3.458
Hence, cost of a gallon in Toronto, Canada = $2.73
Unit 6 similar triangles homework 5
Answer:
1) x = 12
2) x = 23.1
3) x = 19
4) x = 16
5) x = 8
6) x = 17
Step-by-step explanation:
Comparing the sides of each triangle, we have;
1) [tex]\frac{32}{32 + x}[/tex] = [tex]\frac{24}{33}[/tex]
Cross multiply to get,
(32 + x) * 24 = 32 * 33
768 + 24x =1056
24x = 1056 - 768
24x = 288
x = 12
2) [tex]\frac{14}{34}[/tex] = [tex]\frac{x}{33 + x}[/tex]
cross multiply to have;
34x = 14 (33 + x)
34x = 462 + 14x
20x = 462
x = 23.1
3) [tex]\frac{20}{36}[/tex] = [tex]\frac{30}{x + 35}[/tex]
cross multiply to have;
36 * 30 = 20(x + 35)
1080 = 20x + 700
1080 - 700 = 20x
380 = 20x
x = 19
4) [tex]\frac{22.5}{42.5}[/tex] = [tex]\frac{2x - 5}{3x + 3}[/tex]
cross multiply to have;
42.5(2x - 5) = 22.5(3x + 3)
85x - 212.5 = 67.5x + 67.5
collect like terms
85x - 67.5x = 67.5 + 212.5
17.5x = 280
x = 16
5) [tex]\frac{2x + 4}{2x + 8}[/tex] = [tex]\frac{x + 7}{x + 10}[/tex]
cross multiply to have;
(2x + 8)(x + 7) = (2x + 4)(x + 10)
2[tex]x^{2}[/tex] + 14x + 8x + 56 = 2[tex]x^{2}[/tex] + 20x + 4x + 40
2[tex]x^{2}[/tex] + 22x + 56 = 2[tex]x^{2}[/tex] + 24x + 40
collect like terms to have;
22x - 24x = 40 - 56
-2x = -16
x = 8
6) [tex]\frac{28}{82}[/tex] = [tex]\frac{2x + 8}{7x + 4}[/tex]
cross multiply to have;
82(2x + 8) = 28(7x + 4)
164x + 656 = 196x + 112
164x - 196x = 112 - 656
-32x = -544
x = 17
The value of x in all the options can be determined by using the arithmetic operations. The calculations are given below.
1)
Given :
Two side lengths of a triangle are (x + 32) and 33.
According to the similar triangles property:
[tex]\dfrac{32+x}{32}=\dfrac{33}{24}[/tex]
SImplify the above expression in order to determine the value of 'x'.
768 + 24x = 1056
24x = 288
x = 12
2)
Given :
Two side lengths of a triangle are 34 and (x + 33).
According to the similar triangles property:
[tex]\dfrac{14}{34}=\dfrac{x}{33+x}[/tex]
SImplify the above expression in order to determine the value of 'x'.
34x = 462 + 14x
20x = 462
x = 23.1
3)
Given :
Two side lengths of a triangle are 36 and (x + 35).
According to the similar triangles property:
[tex]\dfrac{20}{36}=\dfrac{30}{35+x}[/tex]
SImplify the above expression in order to determine the value of 'x'.
1080 = 20x + 700
20x = 380
x = 19
4)
Given :
Two side lengths of a triangle are (3x + 3) and 42.5.
According to the similar triangles property:
[tex]\dfrac{22.5}{42.5}=\dfrac{2x-5}{3x+3}[/tex]
SImplify the above expression in order to determine the value of 'x'.
85x - 212.5 = 67.5x + 67.5
17.5x = 280
x = 16
5)
Given :
Two side lengths of a triangle are (2x + 8) and (x + 10).
According to the similar triangles property:
[tex]\dfrac{2x + 4}{2x+8}=\dfrac{x+7}{x+10}[/tex]
SImplify the above expression in order to determine the value of 'x'.
(2x + 8)(x + 7) = (2x + 4)(x + 10)
[tex]2x^2+22x+56=2x^2+24x+40[/tex]
16 = 2x
x = 8
6)
Given :
Two side lengths of a triangle are 82 and (7x + 4).
According to the similar triangles property:
[tex]\dfrac{28}{82}=\dfrac{2x+8}{7x+4}[/tex]
SImplify the above expression in order to determine the value of 'x'.
28(7x + 4) = (2x + 8)82
32x = 544
x = 17
For more information, refer to the link given below:
https://brainly.com/question/25277954
I bought 10 shirts. Some were R4 and some were R4,50. If the total cost was R43,50. How many of each type did I buy?
Answer:
Step-by-step explanation:
Solution:
Given dimensions of the rectangular sheet
Length = 28 cm
Breadth =22 cm
If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.
So Height of the cylinder (h)= 28 cm
Circumference of the base of a cylinder
describe the relationship between the zeros of the quadratic function and linear factors of the expression
Answer:
F(x) represents the zeros of the given quadratic function. i.e. the linear factors represents zero when we resolve the expression
Step-by-step explanation:
Describing the relationship between the zeros of the quadratic function and the linear factors of the expression using an example as shown below
lets describe this using the example below :
quadratic expression : F(x) = ax^2 + bx + c
let the linear factors of F( x ) = 0
F(x) represents the zeros of the given quadratic function above i.e. the linear factors represents zero when we resolve the expression
when asher looks at the data he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed rigjt. Do you agree ir disagree
Answer:
can you please give more info
Step-by-step explanation:
Agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.
What is a histogram?It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.
We know on the left side skewed histogram has more data on the right and on the left side, there are fewer data. It is also called a negatively skewed histogram.
On the right side skewed histogram, there is fewer data on the right side and more data on the left side. It is also called a positive histogram.
As we can see in the histogram of Mrs. Jamisos class and Mr. Zimmermann's class, there is fewer data on the right side, hence it is right side skewed.
Thus, agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.
Learn more about the histogram here:
brainly.com/question/16819077
#SPJ2
To the nearest tenth, what is the length of QR
Answer:
|QR| = 17.6
Step-by-step explanation:
To answer this we need to show that the triangles are similar or to assume that they are similar.
Note the following:
1. The ratio of the longest sides is 12.5 to 25.0, or 1/2;
2. The ratio of the shortest sides is 5.2 to 10.4, or 1/2
Therefore the ratio of the longer legs is 8.8 to QR, also equal to 1/2
8.8 1
-------- = -----
QR 2
Cross-multiplying, we get |QR| = 17.6
Answer:
[tex] \displaystyle B )\overline{ \text{QR }}= 17.6 cm[/tex]
Step-by-step explanation:
we have two similar triangles
we want to figure out the measure of QR
remember that,
the ratio of the corresponding sides of two similar triangles is equal
thus,
[tex] \displaystyle \frac{8 .8}{QR} = \frac{5.2}{10.4} [/tex]
cross multiplication:
[tex] \displaystyle5.2 QR = 91.52[/tex]
divide both sides by 5.2:
[tex] \displaystyle \frac{5.2 QR }{5.2}= \frac{ 9 1.52}{5.2}[/tex]
simplify division:
[tex] \displaystyle QR = 17.6 cm[/tex]
hence, our answer is B
HELLPPPP!!!! Find the distance between the lines
First you have to change "-2x+6y-9=0" into slope intercept form (y=mx+b).
Add the -9 to 0, to get (-2x+6y=9).
Now add -2x to the 9, to get (6y= -2x+9). Since -2x and 9 aren't like terms.
Divide 6 on both sides to get (y=-2/6x+9).
Plot this on a graph as shown above. (16.5, 3.5)
Answer is: D) 3.35, since it's closer.
If my math is off please let me know.
What is the range of this data based on the dot plot?
Life Expectancy by State
74 76
78 80 82
Years
182=288 so 74 76 78 80 82 ×2 == 76 78 80 82 84 ans the range is 2920
PLSSS HELP MEEE I WILL GIVE BRAINLIEST
Answer: A
Step-by-step explanation:
If 661,17A is a multiple of 12, then what is A?
Answer:
A=6
Step-by-step explanation:
A can only be a number 1-9 so try every number.
661,176/12 = 55098
Hope this helped! :)
5 athletes are in a 100k race. How many different ways can they finish based on their order.
Answer:
It's 120 different ways I think
Step-by-step explanation:
please help...which of the following is an arithmetic sequence?
Answer:
I would say its 0,2,4,6,....
Answer:
0,2,4,6....
Step-by-step explanation:
Since only they have the common difference between them, they are in the arithmetic sequence
Hope it helps you
Please mark as the brainliest
Thank You
Solve the equation below for x.
9(x - 5) = 4x - 5
Answer: look at the picture
Step-by-step explanation: Hope this help :D
A cell phone company sold 4,000 cell phones in the month of November. In December, the company held its annual sale and sold 22% more cell phones than it did in November. In January, the company experienced its slowest month, managing to sell only 50% of the number of cell phones sold during the month of December. What is the total number of cell phones sold by the company during the three months combined?
Select one:
A. 10,450
B. 10,900
C. 11,320
D. 11,710
Answer:
None it is 10880 cell phones sold
Step-by-step explanation:
You calculate the all the percentages of 4000 to get to the answer like this ......
4,000 of 22%
=22×4,000
100
4000+880
4880
4,000 of 50%
50×4000
100
2000
4000+2000
6000
4880+6000
=10880
Please help with this please domain and range
Trigonometric ratios, 15 points will give thanks, rating and brainliest. Everything.
Answer:
Angle X= 44.99 degrees or 45 if rounded to the ones place.
Step-by-step explanation:
Photo Attached, used SOH CAH TOA method.
PLEASE HELP WITH THIS
Answer:
A = 1/2 x b x h
A = 1/2 x bh
A = 1/2bh
Solve the inequality for u.
-10 ≤ - 5u
Simplify your answer as much as possible.
Answer:
u ≤ 2
Step-by-step explanation:
Given
- 10 ≤ - 5u
Divide both sides by - 5 , reversing the symbol as a result of dividing by a negative quantity.
2 ≥ u , then
u ≤ 2
Which of the following expressions is equivalent to x · 65? *
A. (x · 60) + (x · 5)
B. (x · 6) + (x · 5)
C. x + (6 · 5)
D. (x · 6) + 5
Answer:
A. (x · 60) + (x · 5)
Step-by-step explanation:
Answer:
A. (x · 60) + (x ·5)
Step-by-step explanation:
Equation A is simplified to 65x, which is equivalent to x ·65.
Equation B is simplified to 11x.
Equation C is simplified to x + 30.
Equation D is simplified to 6x+5.
Hello, Can anyone help me? If you give a link answer, I will report you.
(5 × 10^5 )(2 × 10^7)
Note: the ^ stands for "to the power of"
Answer:
10 times 10 ^12
Step-by-step explanation:
this is what I got but I'm not sure if it is correct
Brittany uses the ski machine and the treadmill at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
1) Brittany will exercise for at least 45 minutes and at most 1 hour and 15 minutes,
dividing her time between the ski machine and the treadmill.
2) Brittany will spend at least three times as much time on the treadmill as on the
ski machine.
a. Let x represent the time on the ski machine and y represent the time on the
treadmill. Write a system of inequalities that models the relationships between the
amounts of time Brittany spends on the two machines. You will have three
inequalities.
Answer:
Required inequalities are as following.
Brittany will exercise for at least 45 minutes:
x + y ≥ 45Brittany will exercise at most 1 hour and 15 minutes (= 75 min):
x + y ≤ 75Brittany will spend at least three times as much time on the treadmill as on the ski machine:
y ≥ 3xAnswer:
[tex]x + y = 5 \\ 5 \times 5 = 25[/tex]
Yolo I still need help with this math problem
Answer:
#25 x=80
#26 x=100
#27 x=75
#28 x=90
Step-by-step explanation:
Solve each equation by completing the square. Write both answers separately.
Answer:
37) ±√29 - 4
Completing the square utilizes this formula [tex](\frac{b}{2})^{2}[/tex]. We know that b=8, 8 can be plugged into this formula to get [tex](\frac{8}{2})^2[/tex]. Simplify to get 16. Now, we can add this into the equation to get [tex]k^{2}+8k+13=26[/tex]. Subtract 26 to both sides, so the equation can equal to 0. [tex]k^{2} +8k-13=0[/tex] would be the resulting equation. Now, let's use quadratic formula to find the solution. The quadratic formula is (-b+-√b^2-4ac) / 2a. Plug in all of our values to get (-8+-√8^2-4(1)(-13)/2(1). Simplify the equation to get ±√29 - 4.
38) ±√21 - 2
Let's use the same formula. b=4, so [tex](\frac{4}{2} )^2[/tex]. Simplify to get 4. Add that into the equation to get [tex]x^{2}+4x-5=12[/tex]. Subtract 8 on both sides, so the equation can equal to 0. [tex]x^{2}+4x-17=0[/tex] would be the result. Use the quadratic formula again to find the solution. Plug in all of the values to get ±√21 - 2
If you're confused on any part of the explanation, feel free to ask :)
Marquel can eat 7 Oreos in 2 minutes. How many Oreos can he eat in 6 minutes?
Answer:
21 Oreos
Step-by-step explanation:
2 × 3 = 6
7 × 3 = 21
hope this helps
–
7u–u+2u+11u=10
u=
what does u equal
Consider the following rational function fff. f(x)=\dfrac{-4x^3+7x+9}{8x^6-9x^4-2x}f(x)= 8x 6 −9x 4 −2x −4x 3 +7x+9 f, left parenthesis, x, right parenthesis, equals, start fraction, minus, 4, x, cubed, plus, 7, x, plus, 9, divided by, 8, x, start superscript, 6, end superscript, minus, 9, x, start superscript, 4, end superscript, minus, 2, x, end fraction Determine fff's end behavior. f(x)\tof(x)→f, left parenthesis, x, right parenthesis, \to as x\to -\inftyx→−∞x, \to, minus, infinity. f(x)\tof(x)→f, left parenthesis, x, right parenthesis, \to as x\to \inftyx→∞x, \to, infinity.
Answer: 0 to -∞
0 to ∞
Step-by-step explanation:
Q3. If a=b c, b= c a and c = a b then prove that abc=1.
Q4. If a= 5x, b= 5y and ay bx = 25, then prove that xy = 1
Step-by-step explanation:
Question 3 :
We have ,
a = bc . . . . . (i) b = ac . . . . . (ii)c = ab . . . . . (iii)Multiplying all three equations ,
=> a × b × c = bc * ac * ab
=> abc = a²b²c²
=> abc/a²b²c² = 1
=> 1/abc = 1
=> abc = 1
Hence Proved ![tex]\rule{200}2[/tex]
What is the value x of 4×+67=143
(add. write your answer as a fraction, as a whole or as a mixed number)
PLEASE HELP . WILL GIVE BRAINLIEST !
Answer:
your answer is : 56/9 or 6 2/9
hope it help
Answer: when it is simplified its 56/9. When you converted it is 6 and 2/9
Step-by-step explanation: hope this helps :)
2-3 (8.5A) Hikaru is going to make x pies, he will put 3 pounds of berries in each one, which equation can be used to find b, the total number of pounds
of berries he will put in the pies
A
C b=x+3
5
8
b=x+3
35
b = x - 3
5
B
D
5
b = 3
Answer:
D
Step-by-step explanation:
the answer is d because it's the 3 and 5/8ths per pie this it is multiplied by x.