Answer:
[tex]\frac{25}{7}[/tex]
Step-by-step explanation:
Given:
1 gallon = 4.5 liters
Question asked:
What fraction of 150 gallons is 189 liters ?
Solution:
First of all we will convert gallons to liters:-
1 gallon = 4.5 liters
150 gallons = 4.5 [tex]\times[/tex] 150 = 675 liters
Now, to know the fraction :-
675 gallons [tex]\div[/tex] 189 liters
[tex]=\frac{675}{189} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 9\\ \\ =\frac{75}{21} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 3\\ \\ =\frac{25}{7}[/tex]
Therefore, 150 gallons (675 liters) is [tex]\frac{25}{7}[/tex] of 189 liters.
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 85% pure antifreeze. The company wants to obtain 255 gallons of a mixture that contains 60% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
75 gallons of water
180 gallons of premium anti-freeze
Step-by-step explanation:
X + Y = 255
X = 255 - Y
0.85Y = 0.6(255)
0.85Y = 153
Y = 180
X = 255 - 180
X = 75
The radius of a circle is 1 kilometer. What is the diameter?
r=1 km
Answer:
d = 2 km
Step-by-step explanation:
The diameter is twice the radius
d= 2r
We know the radius is 1 km
d = 2* 1 km
d = 2 km
Answer:
The diameter is 2 km.
Step-by-step explanation:
Diameter = radius * 2.
help me please
NOW if u can
Answer:
1. A polygon is a plane figure with at least three sides and angles. It mus be closed and have straight lines.
Polygon: Square
Not a polygon: Circle
2. same, same
Step-by-step explanation:
answer:
polygona plane figure with at least three straight sides and angles, and typically five or more.
A circle is not a polygonA hexagon is a polygon2. congruent figures have same size and the same shape
hope it helps
(25 points)
Solve the equation. SHOW your work. SHOW which properties of equality you used to solve each equation.
-6 = x/8 + 4
Answer:
-80
Step-by-step explanation:
We have: -6 = [tex]\frac{x}{8}[/tex] + 4. In order to solve for x, we need to isolate it; in order to isolate x, we have to "undo" order of operations.
The regular order of operations is PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction.
Here, since we're solving for x, we need to go backwards. So, first, subtract 4 from both sides:
-6 - 4 = [tex]\frac{x}{8}[/tex] + 4 - 4 ⇒ -10 = [tex]\frac{x}{8}[/tex]
Then, multiply by 8 on both sides:
-10 * 8 = [tex]\frac{x}{8}[/tex] * 8 ⇒ x = -80
Thus, x = -80.
Hope this helps!
Answer:
x = -80
Step-by-step explanation:
Alright let's get started!
Rewrite the equation as ,
x/8 + 4 = -6
Move all terms not containing x to the right side of the equation.
(Subtract 4 from both sides of the equation.)
x/8 = -10
Multiply both sides of the equation by 8 to get rid of the denominator,
8 * x/8 = -10 * 8
8 cancels out on the left side,
x = -80
If [tex]\sqrt{5}[/tex] = x - 2, what is the value of (x - 2)[tex]^{2}[/tex]?
Answer:
5 = (x - 2)^2
Step-by-step explanation:
sqrt(5) = x - 2
Square each side
(sqrt(5))^2 = (x - 2)^2
5 = (x - 2)^2
Okay this is easier than you think!
if (x - 2) equals [tex]\sqrt{5}[/tex]
then that means [tex](x-2)^{2}[/tex] = [tex]\sqrt{5} ^ {2}[/tex]
Anything under a square root when sqared, is itself
[tex]\sqrt{5} ^{2} = 5[/tex]
so the value of [tex](x-2)^{2}[/tex] = 5
I hope I helped! Comment if you have questions or vote this answer as the brainliest ! :)
y = 2x + 5 for x = 1.
1. ( 1, 12)
2. (1, -2 )
3. ( 3, 1 )
4. ( 1, 7 )
Since you know the value of x, you can substitute/plug it into the equation to find the value of y:
y = 2x + 5 Plug in 1 into "x" since x = 1
y = 2(1) + 5
y = 7
When x = 1, y = 7 --> (x, y) = (1, 7) Your answer is #4
Name the quadrant in which the point (–4, –4) lies. III IV II I
Which of these defines the longest arc?
Answer: C
Step-by-step explanation:
The arc length, s, equals the radius, r, times the central angle, θ, given in radians. (In shorthand, s=r⋅θ.) If r=5 cm and θ=6 radians, the arc length is 5 cm⋅6=30 cm. If r=7 cm and θ=5 radians, the arc length is 7 cm⋅5=35 cm. If r=9 cm and θ=4 radians, the arc length is 9 cm⋅4=36 cm. An angle of 180∘ is π radians, or about 3.14. If r=10 cm, the arc length is 10 cm⋅3.14=31.4 cm. Of these choices, the longest arc is 36 cm.
50 points help Which number is a common factor of 24 and 136?
Answer:
8
Step-by-step explanation:
Answer:
1, 2, 4, 8. 8 is the greatest common factor.
Step-by-step explanation:
Find factors of both.
24: 1, 2, 3, 4, 6, 8, 12, 24
136: 1, 2, 4, 8, 17, 34, 68, 136
Find common numbers.
24: 1, 2, 3, 4, 6, 8, 12, 24
136: 1, 2, 4, 8, 17, 34, 68, 136
Factors are 1, 2, 4, and 8.
The graph shows the path of light from a wall reflecting off mirrored ceiling tiles, where x is the distance from the wall in feet and y is height in feet along the wall where the light source hangs.
Which statement describes the room based on the graph?
The ceiling is 10 feet high.
The ceiling is 20 feet high.
The light source is 10 feet off the ground.
The light source is 20 feet off the ground.
Answer: The ceiling is 10 feet high.
Step-by-step explanation: the light source is 7 feet, and the ceiling is 10.
A is the correct answer.
Point (5, -2) is reflected across the line y = x. Where is the new location?
Answer:
(- 2, 5 )
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ), thus
(5, - 2 ) → (- 2, 5 )
Answer:
That would be -5, -2
Step-by-step explanation:
f(x)= 3x+1 and g(x)= x^2-6 find (f-g)(x)
Answer: -x^2+3x+7
Step-by-step explanation:
Find the slant height l of the cone.
3. S = 1127 ft?
8 ft
Answer:
l = 14 ft
Step-by-step explanation:
S = 112π ft²
πrl = 112π
π*8*l = 112π
[tex]l=\frac{112*\pi}{\pi*8}\\\\l=\frac{112}{8}\\\\[/tex]
l = 14 ft
Please help me on this question ♀️
Choices:
(A) 5.6
(B) 8.75
(C) 11
(D) 15
Answer:
TS = 11.
Step-by-step explanation:
Consider triangles UTO and UCS.
m < C = m < UTO (Given)
< U is common to both triangles.
Therefore triangles UTO and OCS are similar.
So corresponding sides are in the same ratio and:
5 / (TS + 4) = 4/ (7+5)
5 * (7 + 5) = 4(TS + 4)
TS + 4 = 5*12 / 4
TS + 4 = 15
TS = 11.
3) Fran designed a flag that measured 9 inches in length and 5 inches in width. Find the
area of the flag.
4) Ellen renovates the foyer of an old farmhouse. The foyer is 15 feet long and 8 feet
wide. Calculate the area of the foyer.
Answer:
3) 9x5=45
4) 15x8=120
Step-by-step explanation:
Answer:
Step-by-step explanation:
3) the area for formula is length * width
so your equation is going to be 9×5because it says your length is 9 and the width is 5 your final answer is 404)
area is length × widthequation 15×8it says the length is 15 and the width is 8your final answer is 120hope this helps :D
What is the radius of a great circle with an area of 40 in??
Round to the nearest tenth.
Answer:
3.6
Step-by-step explanation:
what 2+2 pls hep meeeeeeeeee
Answer:
2+2 is 4
Step-by-step explanation:
-1 is 3 quick maths
Algebra method 4x - 6 = 30
Answer: The answer is x=9
(PLEASE VOTE ME BRAINLIEST. I NEED TO LEVEL UP LOL)
What is the volume of this container?
Answer:
504 in³
Step-by-step explanation:
this is a rectangular prism and the volume formula is v = l * h * w
so now
v = l*w*h
v= 6*8*12
v = 576 inch³
that's not the answer, that's the volume for whole thing but there is a gap and we have to subtract it from the whole volume. you can look at the option and say it's 504 inch³ from common sense. here is the work:
the gap has 2 inch length, 6 inch width and 6 in height.
v = l*h*w
v = 6 * 2 * 6
v= 72 inch
now subtract the gap volume from total volume so
576 - 72 = 504 in³
Solve 2y+1−x=7x for y
Answer:
Y=4X-1/2
Step-by-step explanation:
You must isolate the variable by dividing each side by factors that dont contain variables.
Answer:
y = 4x - 1/2
Step-by-step explanation:
2y + 1 − x = 7x
2y = 7x + x - 1
2y = 8x - 1
y = (8x - 1)/2
y = 4x - 1/2
After being marked up 40%, the sale price of a tennis racket is $87.50 What was the original price of the tennis racket?
Answer:
$62.50
Step-by-step explanation:
The original price is x
It is marked up 40 percent
x+.40x = new price
1.40x = new price
The new price is 87.50
1.40x = 87.50
Divide each side by 1.40
1.40x/1.40 = 87.50/1.40
x =62.50
The price before mark up is 62.50
Answer:
$62.50
Step-by-step explanation:
After mark up, price is
100 + 40 = 140% of cost
140/100 × Cost = 87.50
Cost = 87.50 × 100/140
Cost = $62.50
a basketball player attempted 15 baskets in the game he makes 9 of the attempted baskets which ratio describes the number of baskets the player made to the number of baskets to play attempted thanks so much!!
Answer:
3:5
Step-by-step explanation:
We are given that
Basket player attempted basket=15
He makes number of attempted basket=9
We have to find the ratio which describes the number of baskets the player made to the number of baskets to play attempted.
[tex]\frac{number\;of\;baskets\;made}{number\;of\;basket\; to play attempted}=\frac{9}{15}[/tex]
[tex]\frac{number\;of\;baskets\;made}{number\;of\;basket\; to play attempted}=\frac{3}{5}[/tex]
Hence, the ration which describes the number of baskets the player made to the number of baskets to play attempted=3:5
Answer:
3:5
Step-by-step explanation:
Evaluate the expression and put your answer in fraction form
Answer options:
9/7
13/25
59/4
140/3
Answer:
140/3
Step-by-step explanation:
(28/3)*5
140/3
Solve: 2x - 10 / 4 = 3x
Answer:
x = -2.5 or -5/2
Step-by-step explanation:
1. Solve
2x = 3x + 10/4
-x = 10/4
x = -10/4
x = -2.5
2. Check Answer
2( -2.5) = 3( -2.5) + 10/4
- 5 = - 7.5 + 10/4
-5 = -5
Answer:
x = -10/4
Step-by-step explanation:
[tex]2x - \frac{10}{4} = 3x \\ 2x - 3x = \frac{10}{4} \\ - x = \frac{10}{4} \\ x = - \frac{10}{4} [/tex]
△ABCtriangle, A, B, C and \triangle ADE△ADEtriangle, A, D, E both have a right angle and share \angle BAC∠BACangle, B, A, C.
WILL MARK U AS BRAINLIEST HELP PLEASE
Answer:
Cholula
Step-by-step explanation:
first find the vlumes of the different pyramids:
FORMULA:
volume = (1/3) * basearea
Cholula- 157,583,664
Cheops- 91,204,000
Answer:
The Cholula Pyramid has a greater volume.
Step-by-step explanation:
volume = (1/3) * area of base * height
In both cases, the base is a square, so the area of the base is (side)^2
volume = (1/3) * (side)^2 * height
Cholula Pyramid:
volume = (1/3) * (side)^2 * height
volume = (1/3) * (1476 ft)^2 * 217 ft
volume = 157,583,664 ft^3
Cheops Pyramid:
volume = (1/3) * (side)^2 * height
volume = (1/3) * (755 ft)^2 * 480 ft
volume = 91,204,000 ft^3
The Cholula Pyramid has a greater volume.
To change a temperature in degrees Celsius, C, to a temperature in degrees Fahrenheit, F, the equation below can be used.
F = 9/5C+32
Select the state that best describes this equation.
A. The equation is a nonlinear function.
B. The equation is not a function.
C. The equation is a linear function.
equation of line has form of y=kx±b, so
Answer: C
Answer:
C
Step-by-step explanation:
i'm doing a test right now on this question
Gerald is lightheaded and tired from a lack of oxygen in his tissues.
What is most likely the reason he feels this way?
His plasma level is high.
O
His white blood cell count is high.
His platelet count is low.
His red blood cell count is low.
The most likely reason for Gerald feeling this way is because his red blood cell count is low.
Based on the information given, it was stated that Gerald is lightheaded and tired from a lack of oxygen in his tissues.
It should be noted that the reason why he'll be lightheaded and tired from a lack of oxygen in his tissues is that his red blood cell count is low. This will make him dizzy sometimes too.
Read related link on:
https://brainly.com/question/15737800
If the sphere has a volume of approximately 904.78 cm3, what is the approximate area of the largest cross-section of the sphere shown? A) 28.27 cm2 B) 113.1 cm2 C) 226.2 cm2 D) 452.39 cm
Final answer:
Given a sphere with a volume of 904.78 cm3, we find the radius to be approximately 6.13 cm, and the area of the largest cross-section, a circle, turns out to be approximately 118.08 cm2.
Explanation:
If the sphere has a volume of approximately 904.78 cm3, we can start by calculating the radius of the sphere using the volume formula for a sphere:
V = (4/3)πr3
Solving for r:
r = &Sqrt[3]{(3V)/(4π)} = &Sqrt[3]{(3×904.78 cm3)/(4π)} ≈ 6.13 cm
The largest cross-section of the sphere will be a circle with the diameter equal to the diameter of the sphere, hence the area A of this circle will be:
A = πr2 = π×(6.13 cm)2 ≈ 118.08 cm2
Therefore, the approximate area of the largest cross-section of the sphere is 118.08 cm2, which is not listed among the provided options, implying a possible typo or error in the options. Option closest to the calculated area is B) 113.1 cm2.
HELPP!!!!
Estimate a 15% tip on a dinner bill of $38.43 by first rounding the bill amount to the nearest ten dollars.
Answer:
I think the answer is 34
Answer:
its $6
Step-by-step explanation:
the nearest tenth it 40, and the you ask google what 15% of 40 is.