Answer:
5) It was 5/12 of the way full
6) It holds 48 gallons.
Step-by-step explanation:
For #5, you can simply find the lowest common denominator, which was 12, so you would multiply 3/4 by 3/3 and 1/3 by 4/4, giving you 9/12 and 4/12. Next you would subtract 4 from 9 and get the answer 5/12.
For #6 you can set up the problem as a ratio, 5/12 and 20/x, and then cross multiply, getting the equation 5x = 240. Then divide by 5 and you get the answer 48.
Hope this helps!!
Answer:
5/12 When the water leaked out.
48 Gallons when full.
Hope this Helps!
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-4,7), (-5,-2)
Choose the equation of the line in the form Ax + By = C.
Answer:
-9x + y = 43
Step-by-step explanation:
We can put the equation into y = mx + b form first, then change it to Ax + By = C
First, we can find the slope by doing rise/run (y2 - y1) / (x2 - x1)
(-2 - 7) / (-5 + 4)
-9/-1 = 9
We can put this into the equation y = mx + b, along with another point, to find b:
y = mx + b
7 = 9(-4) + b
7 = -36 + b
43 = b
Now, we know the equation will be y = 9x + 43, and we can rearrange this:
Subtract 9x from both sides:
-9x + y = 43 will be the equation of the line
Hi, can anyone please help me come up with 7 maths questions that have the answer 10. It would be great if these questions were on the 8th grade level. Plz help fast.
Answer:
-2+12=10
-10+20=10
1+9=10
9+1=10
8-(-2)=10
2-(-8)=10
-30+40=10
Step-by-step explanation:
Find the perimeter and area of the shaded region.
Answer:
Perimeter of the shaded region= 22/7cm
Area = 36.48 cm²
Step-by-step explanation:
First of all for the perimeter.
The radius of the arc is 8cm
At an angle of 90°
Perimeter of of the shape is perimeter of the the 2 arc
The both arc are equal so let's determine the perimeter of one first.
Perimeter of the arc= 2πr*(90/360)
Perimeter of the arc= 2*22/7*1/4
Perimeter of the arc= 11/7 cm
Perimeter of the shades region= 2*11/7
Perimeter of the shaded region= 22/7cm
Area of the sector = πr²*(90/360)
Area of the sector= 50.24cm²
Area of non sector= 64-50.24
= 13.76
But non sector is two
Area of non sector= 2*13.76
= 27.52
Area of the shaded region = area of the square -(area of non sector)
= 64-27.52
= 36.48 cm²
Select the correct answer.
Simplify.
V96
Answer:
[tex]4 \sqrt{6}[/tex]
Step-by-step explanation:
The question is not properly presented and has mission options; however, the solution is as follows
Given
[tex]\sqrt{96}[/tex]
Required
Simplify
[tex]\sqrt{96}[/tex]
Start by expanding
[tex]\sqrt{16 * 6}[/tex]
The expression can be split to:
[tex]\sqrt{16} * \sqrt{6}[/tex]
Take positive square root of 16
[tex]4 * \sqrt{6}[/tex]
[tex]4 \sqrt{6}[/tex]
The expression cannot be further simplified
determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither. 3x-4y=-5 8x+6y=-5 show full work please and thank you
Which temperature during the week is the closest to 0? Explain how you decided this using absolute value.
Which temperature during the week is farthest from 0? Explain how you decided this using absolute value.
Which is the coldest temperature? Explain how you determined this using the number line.
Which is the warmest temperature? Explain how you determined this using the number line.
Part 2: Weather Report
Use the information from the analysis and develop a weather report. You can develop a flyer or make a presentation, video or audio recording of yourself, or script. Use your creativity! Make sure to include the information from all six questions.
we need a picture of the weather data
If two 6-sided dice are rolled, what is the
probability of rolling double 2s?
16.7%
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.
Answer:
The answer is 16.7%
Step-by-step explanation:
There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice. hope this helped
What is the value of x that makes L1 || L2? please help!! A. 18 B. 12 C. 10 D. 6
Answer:
x = 18
Step-by-step explanation:
Because the 2 lines are parallel we can use same side interior theorem to find x
This would mean the equation is 6x + 30 + 2x + 6 = 180
When you solve that this would be 18
Answer:
x = 18
Step-by-step explanation:
→ Utilise the fact that interior angles add up to 180
6x + 30 + 2x + 6 = 180
→ Simplify
8x + 36 = 180
→ Minus 36 from both sides to isolate 8x
8x = 144
→ Divide both sides by 8 to isolate x
x = 18
If a triangle has two of its shorter sides measuring 7 and 12, what is a possible length of the longest side of the triangle to make it acute?
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Which table shows a proportional relationship between a and b?
ОА.
b
3
9
4
12
5
20
B.
Qu
b
20
25
24
30
32
40
ОС.
a
b
4
12
un
15
6
24
D.
a
b
Answer: A, B and, C are incorrect, what is D?
Step-by-step explanation:
Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: Which side of the quadrilateral ABCD has a length equal to 10? Question 5 options: A. BC B. DA C. BA D. CD
Answer:
Side DA
Step-by-step explanation:
The point A has coordinates of (-2,6) and the point D has coordinates of (-2,-4). Since both points have the same x-coordinate, we can subtract point A's y-coordinate from point D's y-coordinate.
6 - ( -4) = 10 (Basically adding 4 to six since the 2 minus signs make a plus sign)
That's your answer!
Hope that helps and maybe earns a brainliest!
Have a great day! :)
The side of the quadrilateral ABCD has a length equal to 10 is AD.
What is distance?Distance is the amount of space between two points. The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The coordinate of vertex A = (-2, 6) while for D is D(-2, -4). Hence:
[tex]AD=\sqrt{(-4-6)^2+(-2-(-2))^2}=10\ units[/tex]
The side of the quadrilateral ABCD has a length equal to 10 is AD.
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Pls answer ASAP TY. TY. TY.
Answer:
x^ -10
Step-by-step explanation:
x^2 * x ^ -12
We know that a^b * a^c = a^ (b+c)
x^2 * x^-12
x^(2+-12)
x^ -10
Answer:
[tex]\frac{1}{x^{10}}[/tex]
Step-by-step explanation:
The two "x" terms are being multiplied, so combine the terms
Subtract the power signs:
[tex]x^2 * x^-12[/tex] = [tex]x^2/x^{12}[/tex]
[tex]x^(2 - 12)[/tex] = [tex]x^-10[/tex]
[tex]x^-10[/tex] = [tex]\frac{1}{x^{10}}[/tex]
[tex]\frac{1}{x^{10}}[/tex] is your answer.
~
PLEASE HELP!!! WILL GIVE BRAINLIEST AND 20 POINTS!!!
Triangles △DEF and △ABC are congruent. Which of the following sequences of transformations maps △DEF onto △ABC? ___________________________________________________________Sequence A --> A translation along the directed line segment DB, then a 90° rotation about point B.
Sequence B --> A 90° rotation about point F, then a translation along the directed line segment FC. ___________________________________________________________ a) Only sequence A
b) Only sequence B
c) Both
d) Neither
**note: picture attached below.**
The answer is D because then triangles DEF and ABC would map onto one another
What is a Triangle?
Triangle is a plane figure with three straight sides and three angles.
How to determine?The answer is D because then triangles DEF and ABC would map onto one another.
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does the following table shows a proportional relationship between the variables g & h
*the table being referred to is attached below
Answer:
The table does not show a proportional relationship between variable g and h.
Step-by-step explanation:
For a proportional relationship to exist between two variables, there must be a constant, of which serves like a unit rate, when comparing two variables.
Thus, in the table attached below, there is no obvious constant of proportionality between variable g and variable h.
Thus, [tex] \frac{9}{3} [/tex] ≠ [tex] \frac{36}{6} [/tex] ≠ [tex] \frac{81}{9} [/tex]
What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers
Interval:
The Range of f(x) → Range ∈ [- 4, ∞).
We have a graph of a function f(x) given.
We have to determine the range of f(x).
What is Domain and Range of any function?The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
According to the question -
We can see that the function is defined for all values of x (assuming that the graph will continue after the arrows at the top). Hence, the domain of f(x) will be set of all real numbers.
Now, the graph curves back after reaching a minimum value of -4. Therefore, the set of all possible values f(x) takes belongs to the set
[-4, ∞).
Hence, the Range of f(x) → Range ∈ [- 4, ∞)
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Plz help I’ll mark brainliest
Answer:
Step-by-step explanation:
Using Pythagoras Theorem, hypotenuse = 5
[tex]h = \sqrt{a^{2}+ b^{2}[/tex]
[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]
sin x = height / hypotenuse = 3 / 5
cos y = base / hypotenuse = 3 / 5
sin x = cos y = 3 / 5
John and Maria want to repaint one of their living room walls, which is 20 feet long by 15 feet
wide. Each quart of paint covers 100 square feet. How many quarts do you suggest they purchase?
(Section 10.7) (1 point)
Answer:
3 quarts.
Step-by-step explanation:
The wall is 20 feet by 15 feet. That means the area of the wall is 20 * 15 = 300 feet squared. Since one quart of paint covers 100 square feet, they will need to purchase 300 / 100 = 3 quarts of paint.
Hope this helps!
You and your mom enter a drawing with 3 different prizes a total of 9 people enter
Answer:
the probability if that is what you are asking for is 1/3 of winning a prize
Step-by-step explanation:
Answer:
1/3 chance per each person of winning a prize
Step-by-step explanation:
Mathematics, probability and chance Can somebody help me, I always thank and vote
Drag each object to show whether distance is proportional to time in the situation represented.
Answer: please find the answer in the explanation.
Step-by-step explanation:
1.) The distance is not proportional to time. Because the distance was constant from time = 3 seconds to 10 seconds.
2.) A person running down a field to score a touchdown. Not enough information.
3. A dog jogging at a constant speed for 20 minute. The distance is proportional to time because of the constant speed.
4.) The distance is proportional to time because their is increase in distance covered and increase in time taken.
5.) A truck passing through the 4 cities at a constant speed. The distance is proportional to time because the speed is constant.
6.) A horse running around a race track. Distance is not proportional to time because this is not a linear motion.
A basketball is shot into the air. Its height is represented by the polynomial equation
h(t) = -16+ + 35t + 5, where h is the height of the basketball at t seconds. What's
the height of the basketball at 1.5 seconds?
18.8 feet
21.5 feet
16.7 feet
1
20.2 feet
Answer:
21.5
Step-by-step explanation:
h(t) = -16t^2 + 35t + 5,
Let t = 1.5
h(1.5) = -16 (1.5)^2 + 35(1.5) + 5
=-16 *2.25 +52.5+5
= -36+57.5
= 21.5
A vending machine accepted any combination of nickels, dimes, and quarters that added to $0.40. How many different combinations of coins were possible?
Answer: 1 quarter, 1 dime and 1 nickel.
Step-by-step explanation:
Quarter: 25 cents.
Dime: 10 cents
Nickel: 5 cents
25 + 10 = 35
35 + 5 = 40
Answer: 25 (1 quarter), 10 (1 dime), 5 (1 nickel) is 0.40 cents when all three numbers are summed up.
14. You bought shoes for $60. They were on sale for 40% off their original price.
a. Write a proportion to solve for the original price of the shoes.
ce to
b. Solve the proportion in part (a).
Step-by-step explanation:
The shoes are bought for $60 and were 40% off which means $60 is 60% of the original price
if 60% = $60 the 100% = $100 (the price of the shoe before discount).
Teresita worked part-time for 2 weeks in a pharmacy. During the second week, she worked 13 times the
number of hours that she worked during the first week. If she worked a total of 25 hours during the 2-week
period, how many hours did Teresita work during the second week?
1.8
2.10
3.12
4.15
Option 4 is correct, Teresita worked 15 hours during the second week.
Given that Teresita worked [tex]1\frac{1}{2}[/tex] times the number of hours during the second week.
Therefore, she worked 1.5x hours during the second week.
The total number of hours she worked during the two weeks is given as 25.
So we can set up the equation:
x + 1.5x = 25
Combining like terms, we have:
2.5x = 25
Dividing both sides of the equation by 2.5, we get:
x = 25/2.5
x = 10
Therefore, Teresita worked 10 hours during the first week.
To find the number of hours she worked during the second week, we can substitute this value back into the equation:
1.5x = 1.5 × 10
= 15
Therefore, Teresita worked 15 hours during the second week.
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What is the product of the complex numbers 8i and 5i? (1 point)
040
402
40
40i
JUST NEED SOME HELP :(
Answer:
-40
Step-by-step explanation:
8i* 5i
40 i^2
We know that i^2 = -1
40 *-1
-40
Answer:
-40
I hope this helps. i had the same question and it was right
4(3r+2)-3r= -10? need help thanks
Answer: -2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
The volume of a sphere is [tex]\frac{1}{162} \pi[/tex] cubic meters. What is the length of the sphere’s radius? In your final answer, include all of your calculations.
Answer:
The radius is 1/6 m
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
1/162 * pi = 4/3 pi r^3
Divide each side by pi
1/162 = 4/3 r^3
Multiply each side by 3/4
3/4 *1/162 =3/4* 4/3 r^3
1/216 = r^3
Take the cube root of each side
(1/216)^ 1/3 = (r^3)^1/3
1/6 = r
The radius is 1/6 m
Solve for x: x - 15 = -30
Answer:
x = -15
Step-by-step explanation:
x - 15 = -30
add 15 to both sides
x = -15
Please help me on this question
Answer:
The area can be expressed as: [tex]\pi r^2+lw[/tex].
We have l=10, because 18-2(4)
We have w=8, as given.
Thus, the rectangle area is 80.
There are two semicircles, but they add to form a full circle, which makes things a lot easier. We have the circle area formula, and substituting the values gives us 50.24 as the circle volume
80+50.24=130.24.
Rounded to 1 decimal place that is 130.2
Hope this helps :)
In the figure below MNOP is a parallelogram. Which of the following statements can be used to
explain why the shaded triangles are congruent?
Answer:
ΔNXO is the result of reflecting ΔPXM across a line parallel to line MP and through point X.ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.Step-by-step explanation:
According to the choices given, only statements 1 and 3 are correct!
The true statement about the shaded triangles is; ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.
How to solve congruency problems?The correct statement about the shaded triangles to explain the congruency is;
ΔNXO is the result of rotating ΔPXM 180° clockwise about point X.
This is because when we rotate ΔPXM 180° clockwise about point X, the corresponding parts of both triangles will be congruent based on Congruency proofs.
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