The O'Neil family is taking a road trip. Their final destination is more than 243 miles from their house, and so far they have traveled 157 miles. Their
car can travel 21.5 miles on a gallon of gas. Which number line shows the solution set for the number of gallons of gas the O'Neil family needs to
reach their destination?
Answers
Answer:
The solution you are looking for is D.)
Step-by-step explanation:
To determine this, we need to find the amount of miles left they need to travel (243 - 157 = 86). Then we can divide that by the amount of miles per gallon (86 / 21.5 = 4). Because a possible solution to the answer is 4, we know that the dot needs to be solid (filled in), and because the solution can be greater than four, the arrow would be directed to the right / positive side of the line.
Related Questions
This circle is centered at the origin, and the length of its radius is 4. What is
the circle's equation?
5+
4
-5
5
-5-
A. x2 + y2 =16
B. x + y = 4
C. X6 + y = 4
D. x2 + y2 = 4
Answers
A. x2+y2=16 I just did this question.
identify the expeession equivalent to 2x+8 by substituting x=7 and x=5.
Answers
Step-by-step explanation:
If you substitute the x in 2x+8 with 7, you get:
2(7)+8
14+8
22
If you substitute the x in 2x+8 with 5, you get:
2(5)+8
10+8
18
Hope this helps!
Sound waves can be ranked by their intensity, I, given in this formula, where r is the distance from the source of a sound with a power output of P.
[tex]P = 4xr^{2} .[/tex]
Which equation correctly rewrites the formula to solve for I?
A. [tex]I = \frac{P}{4xr^{2} }[/tex]
B. [tex]I = \frac{Pxr^{2} }{4}[/tex]
C. [tex]I = 4Pxr^{2}[/tex]
D. [tex]I = \frac{4P}{xr^{2} }[/tex]
Answers
Answer: C correctly rewrites the formula to solve I
Step-by-step explanation:
A spinner is divided into five colored sections that are not of equal size: red, blue,
green, yellow, and purple. The spinner is spun several times, and the results are
recorded below:
Spinner Results
Color Frequency
Red
12
Blue
17
Green 17
Yellow 12
Purple 17
If the spinner is spun 500 more times, about how many times would you expect to
land on blue? Round your answer to the nearest whole number,
Answers
If there are 26 successes in a sample with a size of 40, what is the sample
proportion?
A. 0.65
B. 0.52
C. 0.75
D. 0.26
SUBMIT
Answers
Answer:
0.65
Step-by-step explanation:
An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Answers
Answer:
12.57 ft
Step-by-step explanation:
First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.
Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.
Now that we have our radius we can use the formula:
[tex]C=2\pi r[/tex] (Circumference = 2 x pi x radius)
Using 3.14 for pi we get:
[tex]C=2(3.14)(2)[/tex]
[tex]C=4 \pi[/tex] or 12.57 ft (2.d.p)
can anyone help me with this click to see
Answers
Answer:
-3,-5,-6,-10
Step-by-step explanation:
Answer:
-3 -5 -6 -10
Step-by-step explanation:
Suppose you have a rectangular flower bed whose area is 24ft^2 . The shortest side is (x-4) feet and the longest side is (2x) feet. Find the length of the shortest side.
Answers
Answer:
the short side is equal to 2 feet
Step-by-step explanation:
24 = (2x)*(x-4) = 2x² -8x
you'll just use solve on your calculator and get that the x is equal to -2 or 6
which means the short side must be equal to 2
Answer:
2 ftStep-by-step explanation:
Sides are:
x - 4 and 2xThe area is the product of the long and short sides:
2x(x - 4) = 24x(x - 4) = 12x² - 4x = 12x² - 4x + 4 = 16(x - 2)² = 4²x - 2 = 4x = 6The short side is:
x - 4 = 6 - 4 = 2 ftCan someone solve this please? Thank you!
Answers
Answer:
.125
Step-by-step explanation:
1/4 times 1/2 equals .125.
Answer:
Total area of the box is 1 ft squared
Area of the shaded box is .125 ft squared
Area of the non - shaded box is .875 ft squared
Step-by-step explanation:
To find the total area, we can multiple the length * height, 1 * 1 = 1.
To find the shaded area, we can multiple the length * height, .5 * .24 = .125.
To find the total area, we can multiple the length * height of the box minus the shaded area, 1 * 1 - .125 = .875.
A painting is purchased for $350. If the value of the painting doubles every 5 years, then its value is given by the function
V(t) = 350 - 205, where t is the number of years since it was purchased and Vt) is its value in dollars) at that time. What is
the value of the painting 10 years after its purchase?
Answers
Answer:
$1400
Step-by-step explanation:
350 x 2 = 700 x 2 = $1400
a
=
8.7
rounded to 1 DP
b
=
0.82
rounded to 2 DP
Find the maximum of
a
+
b
Answers
The maximum value considering DP of a and b is 9.52.
What is the decimal places of numbers?The decimal places of a number are the number of digits to be considered after the decimal point. E.g Round 4.7583 to 2 dp, we have;
4.76 3 dp
The maximum value of a sum of numbers is the highest value obtained when these numbers are added one to each other. The decimal places of each number is put into consideration in the process.
From the given question;
a = 8.7 and b = 0.82
Thus,
a + b = 8.7 + 0.82
= 9.52
a + b = 9.52
Therefore, the maximum of a + b = 9.52
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in a group of 35 students 7 have yellow socks what percentage of the students have yellow socks
Answers
Answer:
20%
Step-by-step explanation:
[tex]\frac{7}{35} =\frac{y}{100}[/tex]
35 · y = 7 · 100
35y = 700
35y ÷ 35 = 700 ÷ 35
y = 20
i need to show work it’s algebra 2
Answers
Answer:
a=4 because 4+2=6 on number one
Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars. At the counter, he received a discount. If he only paid 22 dollars total, how many dollars was the discount?
Answers
There was 4 dollar of discount on the total amount.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.
At the counter, he received a discount. If he only paid 22 dollars total, then
Total cost 11 + 15 = 26
But 26 - 22 = 4
Therefore, the discount was 4 dollar.
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The difference between six and a number is two
Answers
Answer:
4.
Step-by-step explanation:
the difference means -.
between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.
1. A family went to a restaurant. The total cost
of the meal was $46.50. The family had a
coupon for 30% off the total. What was the
final cost of the meal after the coupon was
used?
Answers
Answer:
32.55
Step-by-step explanation:
If you get 30% off, that means you pay (100% - 30% = 70% of the cost)
46.50 * 70%
46.50 *.70
32.55
Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. What is the ratio of the number of burgers without onions to the number of burgers with onions?
Answers
The ratio of number of burgers without onions to the number of burgers with onions is 4:1.
Ratio of numbers.The ratio of numbers implies the relationship between the numbers when expressed in its simplest fraction. The relationship can be written in form of a/ b or a:b.
Given in the question that Julia's Burger Place made 3 burgers with onions and 12 burgers without onions. Then the ratio required can be expressed as;
ratio of number of burgers without onions to burgers with onions = (number of burgers without onions)/ (number of burgers with onions)
= 12/ 3
= 4/ 1
The ratio of number of burgers without onions to burgers with onions = 4:1
Therefore, the ratio of the number of burgers without onions to the number of burgers with onions is 4:1.
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(Please help) (one question) (NO LINKS)
Answers
Answer:
0.25
Step-by-step explanation:
hope that helps!!!!!!!!!!!!!!!!!!!! :)
plzzz I need the answer with full solution. *FIND THE SQUAER ROOT OF 2119936 BY DIVISION METHOD*. plzz help me with this question plzzzzzzzzz!.
Answers
Answer:
√2119936=1,456
Step-by-step explanation:
A.
B. AB ≅ AC
C.
D. CS ≅ ST
Answers
Answer:
what are the rest of the choices, if the ones are the top ones they dont make sense.
Step-by-step explanation:
A store is having a sale on chocolate chips and walnuts. For 4 pounds of chocolate chips and 8 pounds of walnuts, the total cost is $33. For 2 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $13.
Find the cost for each pound of chocolate chips and each pound of walnuts.
Answers
Answer:
chocolate chip 7
walnuts 3.5
Step-by-step explanation:
assume x=chocolate chips
y=walnuts.
equation
4x + 8y=33
(2x+3y=13)×2
new eq
4x + 8y=33
4x + 6y=26
------------------
2y=7
y=7/2
4x+ 8y = 33
4x + 8(7/2)= 333
4x= 33-28
x=7.00
6th grader who needs help :( anyone know?
Answers
Answer:
B. 4
Step-by-step explanation:
Create an equation:
80 = 18x+8
Solve for x by subtracting both sides by 8:
80-8 = 18x+8-8
72 = 18x
Divide both sides by 18:
72/18 = 18x/18
4 = x
4 is the greatest number of DVDs she can buy.
Which of the following numbers is one fifth of a given number if one fourth of that same number is 20
Answers
Answer:100
Step-by-step explanation:
Consider the inequality x > - 1.5. determine whether each value of x makes this inequality true
Answers
9514 1404 393
Answer:
no, yes, yes, no, yes
Step-by-step explanation:
You're looking for values greater than -1.5. All positive numbers will be greater than any negative number.
The two negative numbers among the answer choices are both to the left of -1.5 on the number line. They are less than -1.5, so are not greater than -1.5.
The negative numbers are No; the positive numbers are Yes.
Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph.
Answers
On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
-7 < x < -2
-2 < x < 3
and 3 > x > 8
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hat is the following sum?
0 7(10√/x²y)
O
O
0 7(²√x²¹x²)
Answers
The sum of the given equation is 7[tex]\sqrt[5]{x^{2} y}[/tex].
What is fractional equation?A fractional equation is one in which one or more of its terms have the unknown as their denominator. Equations involving fractions can be resolved using the Cross-Product property.Therefore, when we reduce or simplify a fraction, we aim for maximum simplicity. In order to do this, we divide both the numerator and the denominator by the biggest integer that can be divided precisely into both numbers. In other words, we choose the greatest number that the top and bottom have in common and divide them by that.Equations using fractions require the solution of equations in which the unknown variable is a component of the fraction's numerator or denominator. To solve fractional equations, we must determine the value of the undetermined variable.Given data :
4 ([tex]\sqrt[5]{x^{2} y}[/tex].) + 3 ([tex]\sqrt[5]{x^{2} y}[/tex].)
Add similar elements
= 7[tex]\sqrt[5]{x^{2} y}[/tex].
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Max kicks a football up at a velocity of 25 meters per second. If the ball makes contact with his foot 0.5 meter off the ground, how long will the ball stay in the air?
Answers
Answer:
25*0.5 = 12.5
How do I solve 6,000-5,258
Answers
Answer:
742
Step-by-step explanation:
6000
-5258
742
please help will give brainliest
Answers
Answer:
2112
Step-by-step explanation:
we find the area of the base first
which is 16*12/2 because it is a right triangle
16*12/2 = 96
then we multiply the base by the height
22*96 = 2112
as a note, remember, prism volume is all base * height
brainliest if this was helpful
Help please will mark brainliest!
Answers
Answer:
Option B. Cosec θ = –5/3
Option C. Cot θ = 4/3
Option D. Cos θ = –4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Tan θ = 3/4
θ is in 3rd quadrant
Recall
Tan θ = Opposite / Adjacent
Tan θ = 3/4 = Opposite / Adjacent
Thus,
Opposite = 3
Adjacent = 4
Next, we shall determine the Hypothenus. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus =?
Hypo² = Opp² + Adj²
Hypo² = 3² + 4²
Hypo² = 9 + 16
Hypo² = 25
Take the square root of both side
Hypo = √25
Hypothenus = 5
Recall:
In the 3rd quadant, only Tan is positive.
Therefore,
Hypothenus = –5
Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:
Opposite = 3
Adjacent = 4
Hypothenus = –5
Sine θ = Opposite / Hypothenus
Sine θ = 3/–5
Sine θ = –3/5
Cos θ = Adjacent / Hypothenus
Cos θ = 4/–5
Cos θ = –4/5
Cot θ = 1/ Tan θ
Tan θ = 3/4
Cot θ = 1 ÷ 3/4
Invert
Cot θ = 1 × 4/3
Cot θ = 4/3
Cosec θ = 1/ Sine θ
Sine θ = –3/5
Cosec θ = 1 ÷ –3/5
Invert
Cosec θ = 1 × –5/3
Cosec θ = –5/3
SUMMARY
Sine θ = –3/5
Cos θ = –4/5
Tan θ = 3/4
Cot θ = 4/3
Cosec θ = –5/3
Therefore, option B, C and D gives the correct answer to the question.