Translate the english phrase into an algebraic expression: the quotient of m and the sum of n and p.
enter all quotients as fractions.
The English phrase can be written as the fraction:
[tex]\frac{m}{n + p}[/tex]
How to write the algebraic expression?Remember that the quotient between two numbers gives a fraction.
Now, we have the sentence:
"the quotient of m and the sum of n and p."
Then we know that the numerator is m, and the denominator is (n + p) (the sum of n and p).
So the expression will just be the fraction:
[tex]\frac{m}{n + p}[/tex]
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Pls Help, Will Give Brainlest
Answer:
19.1 ft³
Step-by-step explanation:
Hello!
Volume of a cylinder: [tex]V = \pi r^2h[/tex]
V = volumeπ = pi (3,14)r = radiush = heightWe can plug in the values and solve.
Solve[tex]V = \pi r^2 h[/tex][tex]V = (3.14)(1.5)^2(2.7)[/tex][tex]V = (3.14)(2.25)(2.7)[/tex][tex]V = 19.0755 \approx 19.1[/tex]The volume is approximately 19.1ft³
Step-by-step explanation:
[tex]\pink{\large{\underline{\underline{\sf Given:-}}}}[/tex]
[tex] \sf Radius_{\blue{cylinder}}=1.5 \: feet[/tex][tex] \sf Height_{\blue{cylinder}}=2.7 \: feet[/tex][tex]\pink{\large{\underline{\underline{\sf To\:find:-}}}}[/tex]
[tex] \sf Volume_{\blue{cylinder}}=?[/tex][tex]\pink{\large{\underline{\underline{\sf Solution:-}}}}[/tex]
We know that,
[tex]\underline{\boxed{\sf Volume_{cylinder}=πr^2h}}[/tex]
[tex]\longmapsto \sf 3.14×(1.5)^2×2.7[/tex]
[tex]\longmapsto \sf 3.14×2.25×2.7[/tex]
[tex]\longmapsto \sf 3.14×6.075[/tex]
[tex]\longmapsto \sf 19.0755≈19.1\: cubic\:feet[/tex]
The scatter plot shows the relationship between the saturation specific humidity, in grams per kilogram of air, and the ambient temperature, in degrees celsius, of the atmosphere. which type of relationship would best model this data?
By critically observing the scatter plot (see attachment), the type of relationship that would best model this data is positive nonlinear.
The types of relationship in a scatter plot.In Statistics, there are four (4) main types of relationship (association) in a scatter plot and these include the following:
Positive linear association.Negative linear association.No association (None).Non-linear association.By critically observing the scatter plot shown in the image attached below, we can logically deduce that the type of relationship that would best model this data is positive nonlinear because the change in one of the variables doesn't result in a constant change in other variables.
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When h is one-half and j is one-third, g is 4. if g varies jointly with h and j, what is the value of g when h is 2 and j is 3? 4 6 24 144
Answer:
D) 144Giveng varies jointly with h and jg = 4 when h = 1/2, j = 1/3To findValue of g when h = 2 and j = 3Joint variation:g = khj, where k- coefficient
Use given values of h and j, and find the value of k:
4 = k*(1/2)(1/3)4 = (1/6)kk = 4*6k = 24The equation is now:
g = 24hjFind the value of g when h is 2 and j is 3:
g = 24*2*3 = 144Correct choice is D
Answer:
D. 144
Step-by-step explanation:
This table shows some values of an exponential function.
What is the function?
The exponential function of the table is y = 0.75(2)^x
How to determine the exponential function?From the table, we have the following points
(x,y) = (0,0.75) and (1,1.5)
An exponential function is represented as:
y = ab^x
At (0,0.75), we have:
0.75 = ab^0
a = 0.75
Substitute a = 0.75 in y = ab^x
y = 0.75b^x
At (1,1.5), we have:
1.5 = 0.75b^1
Evaluate
1.5 = 0.75b
Divide both sides by 0.75
b =2
Substitute b =2 in y = 0.75b^x
y = 0.75(2)^x
Hence, the exponential function is y = 0.75(2)^x
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In a random population, out of 500 people, 160 had blue eyes. In a group of 2500 people, how many would have blue eyes?
======================================================
Work Shown:
(160 with blue eyes)/(500 total) = (x with blue eyes)/(2500 total)
160/500 = x/2500
x = 2500*(160/500)
x = 800
------------
Another approach:
160/500 = 0.32 = 32% of the first group has blue eyes
Assuming this percentage is the same for any group, then,
32% of 2500 = 0.32*2500 = 800 people of the second group are estimated to have blue eyes, of the 2500 total.
Find the length of the midsegment of each trapezoid.
12)
Answer: 25
Step-by-step explanation:
[tex]\frac{23+27}{2}=\boxed{25}[/tex]
7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent row increases by 16. how many rows of seats does the arena have?
The number of rows in the arena is 26
How to determine the number of rows?The hockey arena illustrates an arithmetic sequence, and it has the following parameters:
First term, a = 220Sum of terms, Sn = 10920Common difference, d = 16The number of rows (i.e. the number of terms) is calculated using:
[tex]S_n = \frac{n}{2}(2a + (n -1) * d)[/tex]
So,we have:
[tex]10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)[/tex]
Evaluate the terms and factors
[tex]21840 = n(440 + 16n -16)[/tex]
Evaluate the like terms
21840 = n(424+ 16n)
Expand
21840 = 424n + 16n^2
Rewrite as:
16n^2 + 424n - 21840 = 0
Using a graphical tool, we have:
n = 26
Hence, the number of rows in the arena is 26
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The students in Dale's grade voted to select a guest speaker. 3 students voted for a famous
athlete. The other 22 students in Dale's grade voted for a famous actor. What percentage of
the students voted for the athlete?
Answer:
12
Step-by-step explanation:
3/(22 + 3) voted for athelete
multiply everything by 4 to get fraction over 100
12/(88 + 12) voted for athelete
that means 12 percent voted for athelete
What is the ratio of the area of sector abc to the area of sector dbe? a. b. c. d. e.
The ratio of the area of sector abc to the area of sector dbe is 4/3
How to determine the ratio of the areas?For sector abc, we have:
Angle = x
Radius = 2r
For sector dbe, we have:
Angle = 3x
Radius = r
The area of a sector is:
[tex]Area =\frac{\theta}{360}* \pi r^2[/tex]
So, we have:
[tex]ABC =\frac{x}{360}* \pi (2r)^2[/tex]
Evaluate
[tex]ABC =\frac{x* \pi r^2}{90}[/tex]
For DBE, we have:
[tex]DBE =\frac{3x}{360}* \pi (r)^2[/tex]
Evaluate
[tex]DBE =\frac{x}{120}* \pi r^2[/tex]
The ratio of both areas is:
[tex]Ratio = \frac{x}{90}* \pi r^2 : \frac{x}{120}* \pi r^2[/tex]
Cancel out the common factors
[tex]Ratio = \frac{1}{90} : \frac{1}{120}[/tex]
Express as fraction
[tex]Ratio = \frac{120}{90}[/tex]
Divide
[tex]Ratio = \frac{4}{3}[/tex]
Hence, the ratio of the area of sector abc to the area of sector dbe is 4/3
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4/3
its the answer edmentum
HELP
Select the correct answer from each drop-down menu.
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
12 cm
The three-dimensional shape that this net represents is a
The surface area of the figure is
12 cm
12 cm
12 cm
square centimeters.
Reset
Next
The net represents a cube.
The net shows a cube with a side length of 12 cm, meaning its surface area is [tex]6(12)^{2}=\boxed{864 \text{ cm}^{3}}[/tex]
Answer:
cube864 cm²Step-by-step explanation:
The Platonic solid with six (6) square faces is the cube. Its surface area is the sum of the areas of the square faces. Each of those is the square of its edge length.
__
The 3-dimensional shape represented by the net is a cube.
The area of the cube is ...
6 × (12 cm)² = 6 × (144 cm²) = 864 cm²
In the figure, AB and CD are common tangents to two circles of radii 5 cm with centres p
and S respectively and AB = 8 cm. Calculate the length of
Answer:
24 you used to write about something else
Answer:
Step-by-step explanation:
What does 0 = 0 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
Answer:
There are infinitely many solutions to the system because the equations represent the same line
Please answer quickly!!
Answer:
B is true
C is false
D is false
Step-by-step explanation:
- B is true because two negative numbers are added together, the outcome is negative hence always less than 0
- C is false due to needing a negative number add to -1.5 to be less, a positive only makes the number greater
- D is false since you are adding 0.9 (9/10), anything less than this will m ake the sum be greater than 0
example: - 0.5 + 0.9 = 0.4 or - 0.8 + 0.9 = 0.1
Chelsea wants to rearrange her room. She makes a scale drawing of the room and cuts out pieces of paper to represent her furniture. The paper representing her desk is 1 1/4 inches by 2 1/4 inches. What are the actual dimensions of her desk?
A: 1 3/4 feet by 3 feet
B: 2 1/2 feet by 5 feet
C: 2 1/4 feet by 4 1/4 feet
D: 2 1/2 feet by 4 1/2 feet
Since the paper representing her desk is 1 1/4 inches by 2 1/4 inches, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft
To answer the question, we need to know what scale is
What is a scale?A scale is the ratio of two dimension and it is given on a scale drawing.
Given that Chelsea makes a scale drawing of the room and cuts out pieces of paper to represent her furniture, and the paper representing her desk is 1 1/4 inches by 2 1/4 inches.
Since on the scale, we have 1/2 in = 1 foot ⇒ 1 in = 2 ft
Actual dimensions of deskSo, the actual dimensions of her desk are
1 ¹/₄ in by 2 ¹/₄ in = 5/4 in by 9/4 in
= 5/4 × 1 in by 9/4 × 1 in
= 5/4 × 2 ft by 9/4 × 2 ft
= 5/2 ft by 9/2 ft
= 2 ¹/₂ ft by 4 ¹/₂ ft
So, the actual dimensions of her desk are D: 2 ¹/₂ ft by 4 ¹/₂ ft
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Need help due tmr this is linear relationships
What is value of x in the equation 6x+7-2x=3+5x-9
Answer: x = 13
Step-by-step explanation: First, we simplify the equation to get 4x + 7 = 5x - 6. Then, from there, we subtract 7 on both sides to get 4x = 5x - 13. Then we subtract 5x from both sides, which would give us -x = -13. Finally, we can divide both sides by -1 (because remember, x = 1) to get that x = 13. Hope this helps!
Triangle ABC is a right triangle. The length of one of the legs is 12 centimeters, and the length of the hypotenuse is 20 centimeters. What is the length of the other leg?
Answer: 16 centimeters
Step-by-step explanation:
We will use the Pythagorean theorem to solve. The c variable is the hypotenuse, the a and b variables are the legs.
a² + b² = c²
12² + b² = 20²
144 + b² = 400
b² = 256
b = [tex]\sqrt{256}[/tex]
b = 16
The length of the other leg is 16 centimeters.
Answer:
The other leg is 16 cm long.
Explanation:
Use the Pythagorean theorem:
[tex]c^2=a^2+b^2[/tex],
where:
[tex]c[/tex] is the hypotenuse, and [tex]a[/tex] and [tex]b[/tex] are the other two sides (legs).
Let [tex]a=12[/tex] [tex]cm[/tex]
Rearrange the equation to isolate [tex]b^2[/tex]. Plug in the values for [tex]a[/tex] and [tex]c[/tex], and solve.
[tex]b^2=c^2-a^2[/tex]
[tex]b2=(20 cm)^2-(12 cm)^2[/tex]
Simplify.
[tex]b^2=400 cm^2-144cm^2[/tex]
[tex]b^2=256 cm^2[/tex]
Take the square root of both sides.
[tex]b=\sqrt{256cm^2}[/tex]
Simplify.
[tex]b=16[/tex] [tex]cm[/tex]
Guys, can you please help me with The Question #47 of The Quadratic Relations for me, please? :)
Answer:
[tex]y=\dfrac{1}{2}(x+5)^2-3[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
Parent function
[tex]y=-x^2[/tex]
Reflected in the x-axis
[tex]-f(x) \implies y=-(-x^2)\implies y=x^2[/tex]
Compressed vertically by a factor of 1/2
Multiply the whole function by the given scale factor:
[tex]\dfrac{1}{2}f(x)\implies y=\dfrac{1}{2}x^2[/tex]
Translated 3 units down
Subtract 3 from the whole function:
[tex]f(x)-3 \implies y=\dfrac{1}{2}x^2-3[/tex]
Translated 5 units left
Add 5 to the variable of the function:
[tex]f(x+5) \implies y=\dfrac{1}{2}(x+5)^2-3[/tex]
To sketch the parabola
Vertex = [tex](-5, -3)[/tex]
Axis of symmetry: [tex]x = -5[/tex]
Plot points:
[tex]x=-9 \implies \dfrac{1}{2}(-9+5)^2-3=5 \implies (-9,5)[/tex]
[tex]x=-7 \implies \dfrac{1}{2}(-7+5)^2-3=-1 \implies (-7,-1)[/tex]
[tex]x=-3 \implies \dfrac{1}{2}(-3+5)^2-3=-1 \implies (-3,-1)[/tex]
[tex]x=-1 \implies \dfrac{1}{2}(-1+5)^2-3=5 \implies (-1,5)[/tex]
Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room. how many quarts of paint did mieko use in the living room?
The number of quarts of paint did mieko use in the living room is A = 3 quarts
Given data ,
Mieko bought 2 gallons of paint. she used 1/4 of the paint on her bedroom, 3 quarts on the hallway, and the rest of the paint in the living room
Now , on simplifying the equation , we get
Two gallons of paint is equal to 8 quarts (2 x 4 = 8)
Mieko used 1/4 of the paint on her bedroom, which is equal to 2 quarts (1/4 x 8 = 2)
She used 3 quarts of paint on the hallway
Thus, Mieko used a total of 2 + 3 = 5 quarts of paint on the bedroom and hallway
Therefore , she used 8 - 5 = 3 quarts of paint in the living room
Hence , the number of quarts is A = 3 quarts
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please help bro
i needa get my grade up and i don’t understand any of this … if you can explain how u got the answer that would be helpful but if not, then it’s fine i guess.
Answer:
7. 630
8. I'm not sure on this one-
9. 1331
Step-by-step explanation:
So for a rectangular prism the formula is l x w x h (length times width times height) Which would be 14 * 5 * 9 which equals 630
For the triangular prism, I forgot the formula
For the cube, you are given 1 number, 11, since it's a cube all lengths are the same so you do 11 to the power of 3 = 1331
What is the solution for x in the equation?
x-3/7=2x-25/7
Step-by-step explanation:
please mark me as brainlest
Answer: x = 4/3
Step-by-step explanation: I just answered the answer
wright the follwing in decimlal form:25/8
Answer:
25/8 in decimal form is 3.125.
Step-by-step explanation:
I hope this helps! :)
is 0.9999 really the same as 1
Answer:
No but on a calculator it will just be rounded up. If 0.99999 was 1, maths would be pretty much useless.
Answer:
no the value tends to go to 1 but it is not exactly one.
Calculate the Theoretical probability of the following experiments.
Use a tree diagram to visualize your calculations. *** Note that these are independent experiments. Once she has removed a fruit, she will put it back in before removing a second fruit.***
Jane has a bag with 5 oranges, 4 grapefruits, and 3 apples.
What is the probability that she will NOT randomly take out two oranges in a row?
What is the probability that she will NOT randomly take out two grapefruits in a row?
What is the probability that she will NOT randomly take out two apples in a row?
What is the probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order?
The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
A.) The probability that she will NOT randomly take out two oranges in a row,
Probability = 1 - (5/12)² = 0.8264
B.) The probability that she will NOT randomly take out two grapefruits in a row,
Probability = 1 - (4/12)² = 0.8264 = 0.8889
C.) The probability that she will NOT randomly take out two apples in a row,
Probability = 1 - (3/12)² = 0.8264 = 0.9375
D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,
Probability = (7/12) × (9/12) × (8/12) = 0.2917
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Please help I don't Understand!
Answer: SAS similarity theorem
Proportional relationship:
[tex]\sf \dfrac{AB}{AC} = \dfrac{AM}{AN}[/tex]
insert values
[tex]\rightarrow \sf \dfrac{21+9}{14+6} = \dfrac{21}{14}[/tex]
simplify
[tex]\rightarrow \sf 1 = 1[/tex]
L.H.S = R.H.S
The triangles are congruent and follows the rule SAS similarity theorem.
The triangles has/starts from the same angle, corner (A).
he price of a used motorbike is 4975. Danny, a buys the motorbike for 3781. What is the discount percent given?
well, we know the discount is 4975 - 3781 = 1194.
if we take 4975 to be the 100%, what is 1194 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 4975 & 100\\ 1194& x \end{array} \implies \cfrac{4975}{1194}~~=~~\cfrac{100}{x}\implies \cfrac{26}{6}=\cfrac{100}{x} \\\\\\ 26x = 600\implies x=\cfrac{600}{26}\implies x\approx 23.08[/tex]
Answer:
0.76
Step-by-step explanation:
4975 × 0.76 = 3781
the discount percent given is .76%
12e < -96
Solving one step inequalities
(Please help! I need an actual answer not if it’s true or false / unidentified)
how to find the 3 sides
The angle of triangle are ∠A = 86, ∠B = 55, ∠C = 39. The side of the triangles are a = 0.99, b = 0.81, c = 0.62.
What is a law of sine?Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.
[tex]\dfrac{sin A}{a} = \dfrac{sin B}{b} = \dfrac{sin C}{c}[/tex]
We have given angles of the triangle as
∠A = 86
∠B = 55
∠C = 39
So,
[tex]\dfrac{sin 86}{a} = \dfrac{sin 55}{b} = \dfrac{sin 39}{c}[/tex]
Now,
a = 0.99
b = 0.81
c = 0.62
The side of the triangles are a = 0.99, b = 0.81, c = 0.62.
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Leslie buys a new pair of sneakers for
$43 and several pairs of laces, I, that
cost $6 each. Write an algebraic
expression to represent the total
amount she will spend.
Answer:
$43 + $6l
Step-by-step explanation:
Hello!
She spends $43 and bus several $6 laces.
We don't know how many she buys, but we know that we can represent that number using l.
That means she spends $43 + $6l.
The algebraic expression is $43 + $6l.
We can determine the price if we know the number of laces she buys. We can simply plug in the number of laces she bought, and we can plug it in for l in the equation.
Answer:
43= 6(x)
Explanation:
43 is the total, and each of them are 6$ each. X is the variable that we don't know.