Answer:
280 miles
Step-by-step explanation:
First you multiply 15 x 4= 60 gallons. You then multiply 4 x 70=280 miles
Hope this helps!
What is 82,199 rounded to the thousands
Answer:
82.20
Step-by-step explanation:
E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units?
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]
The dimension of the big rectangle is given as:
Length: 3x - 1Width: 3x + 7So, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (3x - 1) \times (3x + 7)[/tex]
Expand
[tex]Area = 9x\² + 21x - 3x - 7[/tex]
[tex]Area = 9x\² + 18x - 7[/tex]
The dimension of the small rectangle is given as:
Length: 2x + 5Width: xSo, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (2x + 5) \times x[/tex]
Expand
[tex]Area = 2x\² + 5[/tex]
The area of the shaded region is the difference between the area of the big and small rectangles.
So, we have:
[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]
Expand, and collect like terms
[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]
[tex]Area = 7x\² + 13x - 7[/tex]
Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]
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what number is 0.79 more than 0.97
Answer:
1.76
Step-by-step explanation:
0.79 + 0.97
The number 1.76 is 0.79 more than 0.97.
What are numbers?A number is a basic unit of mathematics. Numbers are used for counting, measuring, and comparing amounts. A number system is a set of symbols, or numerals, that are used to represent numbers.
Given what number is 0.79 more than 0.97,
Let the number be x,
x = 0.79 + 0.97
x = 1.76
Hence, the number 1.76 is 0.79 more than 0.97.
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A rectangle has an area of 36 square units and a width of 2 units. What is the unknown length
Answer:
18
Step-by-step explanation:
The formula for area is a=lw
So to find the length, you would divide the area by the width. So 36 divided by 2 is 18.
4 < 4x- 16
Please answer!
Answer:
First you need to get your variable(x) by itself.
You do that by adding 16 to both sides of the greater than sign.
The 16 cancels or goes away. and 16 + 4 =20.
Your new equation is 20<4x
Finally you divide 20 by 4 to get 5
Your answer is 5<x or x>5.
Find the missing length of the triangle 12 8 Y
Answer:
What does the triangle look like?
When designing a study to determine this population proportion, what is the minimum number of drivers you would need to survey to be 95% confident that the population proportion is estimated to within 0.04
Answer: 601
Step-by-step explanation:
The formula to find the minimum sample size(n) , if the prior population proportion is unknown:
[tex]n=0.25(\dfrac{z^c}{E})^2[/tex], where E = margin of error , [tex]z^c[/tex] = critical z-value for confidence level c.
Given : E = 0.04
Z-value for 95% confidence = 1.96
So, the minimum sample size required = [tex]0.25(\dfrac{1.96}{0.04})^2=0.25(49)^2[/tex]
[tex]= 0.25\times 2401=600.25\approx601[/tex]
Hence, the minimum sample size required = 601
In ∆DEF, if m∠E is one more than three times m∠F and m∠D is three more than seven times m∠F, find the m∠D.
Answer: mD=115, mE=49, mF=16
Step-by-step explanation:
DEF is a triangle and were told to find angle measures.
If m∠E is (3F+1) and m∠D is (7F+3)
Use T-angle sum theorem and plug previous terms 7F+3+3F+1+F=180 which give F=16. Then substitute F=16 with angles D and E to find last results.
The measure of m∠D is 115 degrees
In the given triangle ∆DEF, if m∠E is one more than three times m∠F, hence;
m∠E = 3m∠F + 1
Similarly, if m∠D is three more than seven times m∠F, then;
m∠D = 7m∠F + 3
Taking the sum of the angles and equate it to 180 degrees
m∠D + m∠E + m∠F = 180
7m∠F + 3 + 3m∠F + 1 + m∠F = 180
11m∠F + 4 = 180
11m∠F = 180-4
11m∠F = 176
m∠F = 16
Since m∠D = 7m∠F + 3
m∠D = 7(16) + 3
m∠D = 115 degrees
Hence the measure of m∠D is 115 degrees
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On a certain road map, the scale is
0.5 inch = 10 miles. Aurora Springs and Glendale are 3 inches apart on the map. What is the actual distance between Aurora Springs and Glendale?
Answer:
3 inches=60 miles
Step-by-step explanation:
Multiply 0.5 times 6 because 1/2 an inch equals 10 miles. 0.5 x 6 = 3. 6 x 10 = 60. The actual distance between Aurora Springs and Glendale is 60 miles or 3 inches
Did I do it right or is it wrong ?
Answer:
Hope this helps. Mark as brainliest please!
Step-by-step explanation:
10-3^3/9
10-27/9
10-3
7
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I- I'm speechless
Do you even have a question-
The Chiquita Bananas are on sale for $3.72 for 6 pounds of bananas. Miller's Bananas are on sale for $0.64 per pound. Which company has the better deal: ( price per pound)?
Answer:
millers is cheper instead of 3.72 for 6 pond 0.64 is better because what if some one only wants 1 pond then they only should pay 64 cents
Step-by-step explanation:
the variable u had a proportional relationship with x as suggested by the graph. use the graph to write an equation that models the line
the equation y=__ models the line.
Answer:
y = 14
Step-by-step explanation:
Can someone answer this quickly please
Answer:
3/x
Step-by-step explanation:
it just is
Find the equation of the line with slope -4 and going through point (3,8) and then convert it to slope intercept form “y=Mx+b Please help ?
Answer:
y=-4x+8
Step-by-step explanation:
Since the slope is given to you, you already know part of the equation. slope is equal to mx. So y=-4x. the B in y=mx+b is y-intercept. The y intercept is where the line comes in contact with the y axis. On a coordinate plane the y intercept would be Y [ex; (x,y)]. It gives you (3,8) so the y intercept would be +8 since the point is positive and not negative.
Answer two questions about Equations A and B:
A. 3(x+2)=18
B. x+2=6
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide only one side by a non-zero constant
(Choice C)
C
Rewrite one side (or both) by combining like terms
(Choice D)
D
Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Determine if the set of relations is a function or not a function \ (2,0),(2,1),(4,3),(2,5)\
Answer:
Thats hard
Step-by-step explanation:
Raul can ride his unicycle 2.5 miles in 30 minutes. If he maintains the constant speed, what number of total miles can he travel in 90 minutes.
Answer:
Raul would ride 18 miles.
Step-by-step explanation:
60/10 =6
3x6=18
Answer:
18 miles is your answer
y X
0 -1
1 3
2 7
3 11
4 15
Which equation matches the function described in the table?
A)
y = 4x
B)
y = x-1
y = x+ 5
D)
y = 4x - 1
Answer:
D) y=4x-1
Step-by-step explanation:
Answer:
D) y=4x-1
Step-by-step explanation:
Each y-value in the table is 1 less than 4 times the corresponding x-value.
55-4.5+12 what is the anwer for this
hey guys. chicken leg peice
Answer: If gary works for 12.5 hours he will make 75 dollars.
Step-by-step explanation:
you would divide 48/8 to get 6
Then multiply 6 by 12.5
BTW- Gary should not work for this little ammount. This is under minimum wage
Answer:
75
Step-by-step explanation:
12 1/2 = 12.5
I divided 8 into 48 which is 6
Then I multiplied 12.5 and 6 = 75
Anna and Bobie joined two different swimming classes at the same time.
Anna's swimming school charged an initial amount of $70 and Bobie's charged $250. Their monthly
fees were different.
The total amount paid for in the first t months is given by (PA) for Anna and (PB) for Bobie.
Anna paid $120 and Bobie paid $264 in total for the first two months, but after some months, they
found that they have paid the same amount in total.
After how many months will their total payments be the same and how much will it be?
Answer:
It would be 10 months for the price of $320.
Step-by-step explanation:
First we need to find how much Anna's swimming charge and Bobie's charge is.
PA=70+t The price of the month equals to the starting fee and monthly charge
120=70+2t The price of 2 months times the monthly charge
50=2t
25=t is Anna's monthly charge
PB=250+t is Bobies starting price and monthly charge
264=250+2t is the month charge for Bobie after 2 months
14=2t
7=t is Bobie's monthly charge
70+25x=250+7x We need to find x which is what month will satisfy both equations
25x=180+7x Subtract 70 from both sides
18x=180 Subtract 7x from both sides
x=10 divide 18 from both sides
Now we have the months that satisfy both equations we need to find the total price that matches with it. So we plug it back into both equations.
PA=70+25x PB=250+7x
PA=70+25(10) PB=250+7(10)
PA=70+250 PB=250+70
PA=320 PB=320
Find three consecutive integers such that twice the sum of the first two is to less than three times the third
Answer:
Step-by-step explanation:
Let the consecutive integers be x - 1 , x , x + 1
Equation
2*(x - 1 + x) = 3*(x+1) - 2
Solution
2(2x - 1) = 3(x + 1) - 2 After the first two have been combined remove the brackets.
4x - 2 = 3x + 3 - 2 Combine the right
4x - 2 = 3x + 1
4x - 2 + 2 = 3x + 1 + 2 Add 2 to both sides
4x = 3x + 3 Subtract 3x from both sides
4x-3x = 3x - 3x + 3 Combine
x = 3
Check
Left hand side
2(2 + 3)
2(5)
10
Right hand side
3*(x+1) - 2
3*(4) - 2
12 - 2
10
The answers at least agree.
what is the opposite of the opposite of -1.4?
Answer: -1.4
The opposite of -1.4 is 1.4; you flip from negative to positive.
Then taking the opposite of 1.4 gets us back to -1.4 again
Effectively the two opposites cancel out and nothing changes.
Answer:
-1.4
Step-by-step explanation:
because if it says the opposite then
it goes like this
opposite one time = positive 1.4
then do the opposite of a positive = -1.4
5.
Eight feet of plastic tubing costs $4.08. If you only have $8.16 to spend, how much plastic tubing
can you afford?
Cho
Answer:
You can afford 16 feet of plastic tubing.
Step-by-step explanation:
Divide 8.16 by 4.08 = 2
Multiply 8 by 2 = 16
Hope this helps! Have a good day!
Answer:
Sixteen feet of plastic tubing
Step-by-step explanation:
4.08x2=8.16 and 8x2=16 so its just double the amount.
Please answer this whole thing
Answer:
A
Step-by-step explanation:
10 x 10 x 10 x 10 = 10,000
whatis the reciprocal of the number. 7/8
Answer:
8/7
Step-by-step explanation:
reciprocal is just the same number flipped
Answer:
8/7
Step-by-step explanation:
The reciprocal of a fraction is what you multiply with that fraction to get 1. Essentially, you flip the original fraction. The reciprocal of 7/8 is just flipping that to get 8/7. To check, 7/8 * 8/7 = 56/56 = 1
Plz help !!!!! Will mark brainliest
Answer:
B
Step-by-step explanation:
1) divide -21/-6 which gives you 7/2
2) Since v are both the same bases we can subtract to 6-8 = -2
3) A negative goes to the denominator. Therefore, it’s B
Hotdogs are sold in packages The graph below shows the total number of hotdogs sold relative to the number of packages what does the point (4,2) mean in the context of the situation
Answer:
do you still need help
Step-by-step explanation:
to this question
Answer:
C
Step-by-step explanation:
The state of Montana is experiencing a warm day after a heavy snowfall. The graph shows the height of snow, h, in centimeters after t hours.
1.) What linear function does the graph represent.
h= 3t = 6
h=3t+18
h=−3t+18
h=−3t+6
The initial value represents which of the following?
The amount of snow melting each hour.
The amount of snow remaining after four hours.
The amount of snow that accumulated the previous night.
Answer:
1. [tex] h = -3t + 18 [/tex]
2. The amount of snow that accumulated the previous night.
Step-by-step explanation:
1. height of snow = h cm
time = t hrs
To determine the linear function, find the slope (m) of the line, and the y-intercept (b). Then represent the function in slope-intercept form as y = mx + b. Where,
y = h,
x = t
m = slope
b = y-intercept
Find slope (m) using points (6, 0) and (0, 18):
[tex] m = \frac{h_2 - h_1}{t_2 - t_1} = \frac{18 - 0}{0 - 6} = \frac{18}{-6} = -3 [/tex]
m = -3
The y-intercept is where the line intercepts the y-axis = 18
Substitute y = h, x = t, m = -3, and b = 18 into y = mx + b.
Thus, the linear function would be:
[tex] h = -3t + 18 [/tex]
2. The Initial value is the y-intercept, which is 18. In this case, 18 represents the amount of snow in cm, that accumulated the previous night.