[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - the difference between two numbers is 9 and the numbers are in the ratio of 4:7To find - the numbersLet the number be 4x and 7x respectively !
Then ,
[tex]\bold{7x - 4x = 9} \\ \\ \bold{\longrightarrow \: 3x = 9} \\ \\ \bold{\longrightarrow \: x = \cancel\frac{9}{3}} \\ \\ \bold{\longrightarrow \: x = 3}[/tex]
therefore ,
first number = 4x = 4 × 3 = 12
second number = 7x = 7 × 3 = 21
hope helpful ~
The difference of two numbers is 9 and they are in the ratio 4 : 7. Find the numbers.
❖ Explanation -:In this question we are provided with the ratio of two numbers that is 4 : 7 and it is also given that the difference between two numbers is 9. We are asked to calculate the two numbers.
[tex] \small \purple{ \underline{ \underline{\rm{ First \: we \: will \: form \: an \: equation }}}}[/tex]
Let us assume the number as 4x and 7x.
It is given that the difference is 9
According To Question
[tex] \small \blue{\sf{7x - 4x = 9}}[/tex]
[tex] \small \green{ \underline{ \underline{\rm{ Now \: we \: will \: solve \: this \: equation \: and \: find \: the \: value \: of \: x}}}}[/tex]
Let us solve this equation
[tex] \small\sf{7x - 4x = 9} [/tex]
[tex]⟹ \small\rm{3x = 9} [/tex]
[tex]⟹ \small\rm{x = \dfrac{ \cancel{9} \: \: 3}{ \cancel{3}} } [/tex]
[tex] \small\sf{x = 3} [/tex]
Substitute the value of x = 3
7x = 7 × 3 = 21
4x = 4 × 3 = 12
Hence the two numbers are 21 and 12.
PLEASE HELP ILL MARK BRAINEST!!!!
Answer:
-3 -2 -1 = -6 0 times 1 times 2 times 3 = 0 -12 -7 -4 = -23
Step-by-step explanation:
Please help! Will give Brainliest!!!!!!!!!!!!
Answer:
for the first answer the second option is correct and 8 will go in the box and for the second question the second option is correct and 40 will go in the box.
please solve quickly
Answer:
75.36
hope this helps :)
Which of the following is the shape of a cross-section of the figure shown
below?
A. Rectangle
B. Square
C. Prism
D. Pentagon
Answer:rectangle
Step-by-step explanation:
A rectangular pool 24-feet long, 8-feet wide, and 4-deep is filled with water. Water is leaking from the pool at the rate of 0. 40 cubic foot pet. At this rate how many hours wil it take for the water level to drop I foot?
Answer:
8 hours
Step-by-step explanation:
24 X 8 X 1FOOT DROP = 192 FT ^3
Assuming .40 ft^3 per MINUTE
192/.4 = 480 minutes = 8 hours
A. (-3,3)
B. (-3,0)
C. (0,-3)
D. (3,-3)
Answer: The correct answer is D.
Step-by-step explanation: The darker part in the graph is the area that contains the solutions. The only point out of the choices that is in the dark area is D.
Find the value of X.
Answer:
x=4
Step-by-step explanation:
We know that in a parallelogram opposite sides are equal
Hence on equating we get,
[tex]6x - 20 = 4[/tex]
[tex]6x = 4 + 20[/tex]
[tex]6x = 24[/tex]
[tex]x = 4[/tex]
The measure of angle A is 2° greater than the measure of angle B. The two angles are complementary. Find the measure of each angle.
Find the area of the shaded circle… I will mark you brainliest and rate you five stars
Answer:
33π m²
Step-by-step explanation:
Solving
Angle of sector = 180° - 120° = 60°Area of sector = πr² x α/360°Area of sector = π x (14)² x 60/360Area of sector = 196/6 x πArea of sector = 32.67π ≅ 33π m²Evaluate the function 2/3t , when t = 30.
Question 2 options:
10
15
20
25
Answer:
20
Step-by-step explanation:
2/3(30)
=20
Image for last question look at my last
Answer:
Part A: 12.5 cm
Part B: 0.8 km
Step-by-step explanation:
Map scale problems can be solved with proportions.
Part A
5 cm / 2 km = x cm / 5 km
5/2 = x/5
2x = 25
x = 12.5
Answer: 12.5 cm
Part B
5 cm / 2 km = 2 cm / x km
5/2 = 2/x
5x = 4
x = 4/5
x = 0.8
Answer: 0.8 km
For the following question, find the volume of the given prism. Round to the nearest tenth if necessary
2.
24 yd
(1 point)
13 yd
13 yd
13 yd
Not drawn to scale
O2,028.0 yd
O1,756.3 yd
O 1,434.0 yd
O3,512.6 yd3
The volume of the triangular prism is 1756.3 cubic yd option second is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know that the volume of a triangular prism is given by:
[tex]\rm V = \dfrac{1}{2}\times b\times l\times h[/tex]
Where b is the base length, l is the base width, and h is the height of the prism.
[tex]\rm h=\sqrt{13^2-(\dfrac{13}{2}) ^2[/tex]
h = 11.2583 yd
b = 13 yd
l = 24 yd
[tex]\rm V = \dfrac{1}{2}\times 13\times 24\times 11.2583[/tex]
V = 1756.29 ≈ 1756.3 cubic yd
Thus, the volume of the triangular prism is 1756.3 cubic yd option second is correct.
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Kelly used the vertical line test to determine whether or not the curve that she
had been given is a function. After conducting the vertical line test, Kelly
determined that the curve is a function. Which of the following choices
represents the result of Kelly's vertical line test?
A. All vertical lines intersected the curve at exactly 2 points.
B. One vertical line intersected the curve at exactly 2 points.
C. One vertical line intersected the curve at exactly 1 point, while
another vertical line intersected the curve at exactly 2 points.
OD. All vertical lines intersected the curve at exactly 1 point.
All vertical lines intersected the curve at exactly 1 point.
===========================================================
Explanation:
If there is a case when a single vertical line crosses 2 or more points on the curve, then it will not be a function. In this situation, it is said that the curve fails the vertical line test.
Passing the vertical line test means that every vertical line passes through exactly one point on the curve. Each x input leads to exactly one output. If such a situation happens, then we have a function.
Since Kelly concluded that the curve is a function, this means the curve passed the vertical line test, and it points us to choice D as the answer.
Describe and correct the error in finding the distance between the points (−3,−2) and (7,4).
I tried 2\sqrt{34} adn 11.6619 but they didn't work as correct answers
Please help!
Step-by-step explanation:
Hope you'll understand
Answer:
the answer is the numbers in the expressions inside the bracket should be added not subtracted
Step-by-step explanation:
hope it helps
y + z-y; use y = 1, and z=3
Answer: 3
Step-by-step explanation:
1+3-1= 3
The volume of a cone is 108 pi cubic inches. Its height is 4 inches. What is the radius of the cone? Round the answer to the nearest tenth if necessary. 5. 2 in. 9 in. 34. 7 in. 81 in.
Answer:
im gonna say it would be around 9 inches, because the actual answer, a decimal, isnt an option so the closest would be around 9 in.
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 14cm, and the base has a radius of 3cm . How much water is needed to fill 125 cups?
Please help me find the area of compound shapes?!?!
Answer:
[tex]27cm^{2}[/tex]
Step-by-step explanation:
Area of compound shapes = Area of shape A + Area of shape B
Area of this shape = (L x B) + (L x B)
= (5 x 3) + (6 x 2)
= 15 + 12
= [tex]27cm^{2}[/tex]
Answer:
A = 27 cm²
Step-by-step explanation:
the figure consists of 2 rectangles
the one on the right with dimensions 2 cm by 6 cm and
the one on the left with dimensions 5 cm by 3 cm
the total area (A) is then calculated as
A = (2 × 6) + (5 × 3) = 12 + 15 = 27 cm²
Examine the tree diagram. What is the theoretical probability of spinning AT LEAST one blue out of two spins?
Answer:
5/9.
Step-by-step explanation:
Theoretical probability = number of outcomes with1 or 2 blues
-------------------------------------------------------
number of all possible outcomes
= 5/9
Evaluate the expression for the given value.
Answer:
a² = 16
Step-by-step explanation:
substitute a = 4 into the expression
a² = 4² = 4 × 4 = 16
Answer:
16
Step-by-step explanation:
AYO HELP ME OUT ASAP :(
Answer:
122.7 cm³
Step-by-step explanation:
Volume of composite figure:Square pyramid:
a = 4 cm ; h = 4 cm
[tex]\boxed{\text{Volume of square pyramid = $\dfrac{1}{3}$*base area * height}}[/tex]
[tex]\sf = \dfrac{1}{3}*a^{2}*h\\\\ =\dfrac{1}{3}*4*4*4\\\\ = 21.3 \ cm^3[/tex]
Rectangular prism:
l = 6 cm ; w = 6 cm ; h = 4 cm
[tex]\boxed{\text{Volume of rectangular prism = l*w*h}}[/tex]
= 6 * 6 * 4
= 144 cm³
Volume of composite figure = volume of rectangular prism - volume of pyramid= 144 - 21.3
= 122.7 cm³
A portion of the Quadratic Formula proof is shown. Fill in the missing statement
Find all sets of four consecutive even integers whose sum is between 155 and 165
Answer:
36 38 40 42
and
38 40 42 44.
Step-by-step explanation:
160 / 4 = 40 so the numbers are close to 40.
38 + 40 + 42 + 44 = 164
36 + 38 + 40 + 42 = 156.
¿Qué valor de x hace verdadera esta ecuación?
12 x - 15 = 6 - 3 x
Answer:
7/3
Step-by-step explanation:
12x - 15 = 6 - 3x
=> 12x + 3x = 6 + 15
=> 15x = 21
=> x = 21/15
=> x = 7/3
Rob is travelling at a constant speed in a car. He travels 105km in 1 hour and 30 minutes. The speed limit is 80km/h. Is Rob travelling within the speed limit? Show how you decide.
Answer:
Yes.
Step-by-step explanation:
Let's first convert his speed to km/h.
[tex]\frac{105km}{1.5h} = 70\frac{km}{h}[/tex] > [tex]80\frac{km}{h}[/tex]. Therefore, Rob is traveling within the speed limit.
Find the measures of the missing angles. The triangle is not drawn to scale.
108°
A=
B= 31
Answer:
B=41
Step-by-step explanation:
Triangle = 180 degrees.
108+31=139
180-139=41\
B = 41 degrees
PLEASE HELP!!
Identify an obtuse angle and give its measure.
Answer:
Angle HEF
105*
Step-by-step explanation:
For a certain population of penguins, the distribution of weight is approximately normal with mean 15.1 kilograms (kg) and standard deviation 2.2 kg. Approximately what percent of the penguins from the population have a weight between 13.0 kg and 16.5 kg
Using the normal distribution, it is found that 56.78% of the penguins from the population have a weight between 13.0 kg and 16.5 kg.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 15.1, \sigma = 2.2[/tex].
The proportion of penguins from the population have a weight between 13.0 kg and 16.5 kg is the p-value of Z when X = 16.5 subtracted by the p-value of Z when X = 13.
X = 16.5:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{16.5 - 15.1}{2.2}[/tex]
Z = 0.64
Z = 0.64 has a p-value of 0.7389.
X = 13:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{13 - 15.1}{2.2}[/tex]
Z = -0.95
Z = -0.95 has a p-value of 0.1711.
0.7389 - 0.1711 = 0.5678.
0.5678 = 56.78% of the penguins from the population have a weight between 13.0 kg and 16.5 kg.
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helphelphelphrlpherlphelphelp
Answer: 1725
Step-by-step explanation: A= A+B/2 h= 50+65/2x30=1725
Pleaseeeeee helppppppppp :))
find errors then solve the problem correctly
find the volume of the given pyramid. measurements are in feet.
answer:
v = 1/3 bh
the base (b) is a square and the area is20(20) = 400 ft^2
v = 1/3 400(26)
v = 1/3 (400) + 1/3(26) = 142 ft^2
IF the base area of the pyramid will be 400 square feet. Then the volume of the given pyramid will be 3466.67 cubic feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The dimension of the pyramid is shown in the diagram.
Then the base area of the pyramid will be
Area = 20 x 20
Area = 400 square feet
Then the volume of the given pyramid will be
V = 1/3 x area x height
V = 1/3 x 400 x 26
V = 3466.67 cubic feet
More about the geometry link is given below.
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