Equation 1: x=32
Equation 2: y=28
Answer:
x = 32
x = 28
Step-by-step explanation: hope this helps
Can anyone Please help me
Answer:
find the product of (4m-n) and (3m-2n)
Find the missing side of the triangle. I'll mark brainiest please help!
Answer:
○ [tex]\displaystyle \textcolor{black}{C.}\:\sqrt{193}\:km.[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem to define the hypotenuse:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 7^2 + 12^2 = x^2 \hookrightarrow 49 + 144 = x^2 \hookrightarrow \sqrt{193} = \sqrt{x^2} \\ \\ \boxed{\sqrt{193} = x}[/tex]
I am joyous to assist you at any time.
[tex] \huge \underline\text{ Hello There}[/tex]
[tex] \text{We know, Pythagoras Theorem}[/tex]
[tex]\implies \text{ (Hypotenuse)²= (Base)² + (Altitude)²}[/tex]
[tex] \text{Here, \red{Hypotenuse}= x, \red{Base}= 7, \red{Altitude}= 12}[/tex]
[tex] \underline \text{To Find, } \text{Value of'x'}[/tex]
[tex] \huge \underline\text \red {Solution}[/tex]
[tex] \implies {x}^{2} = (7) {}^{2} + {(12)}^{2} \\ \implies(x) {}^{2} = 49 + 144 \\ \implies( {x})^{2} = 193 \\ \implies x = \sqrt{193} [/tex]
[tex] \therefore \text{Hypotenuse}= \sqrt{ 193} \text{ km}[/tex]
[tex] \text{Correct Opt. C}= \sqrt{ 193} \text{ km}[/tex]
A cake mix calls for these ingredients.3 cups of milk6 cups of flour2 cups of sugar1 cup of oil
Answer:
what's up w u people and not giving context
Step-by-step explanation:
1. add ur complete problem
2. show a picture or add the question(s)
3. ur done at that point
Apply the distributive property to factor out the greatest common factor.
4+10=
4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)
What is the perimeter of the square?
96cm
Step-by-step explanation:
From the question,
Area of rectangle(A) =Area of square(A)
or,32*18=Area of square
or, 576= l^2
or√576=l
or, 24cm
Now, we know,
Perimeter of the square=4l
=4*24cm
=96cm
Need step by step explanation please.
1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
What is the Volume of a Cylinder and Volume of a Sphere?Volume of Cylinder = πr²hVolume of Sphere = 4/3πr³Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
Learn more about volume of a cylinder and a sphere on:
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Edmond buys 4/5 of a kilogram of butterscotch chips and 5 kilograms of milk chocolate chips.
How much does he spend?
milk chocolate chips
$1 per kg
white chocolate chips
$2 per kg
dark chocolate chips
$3 per kg
butterscotch chips
$1 per kg
semisweet chocolate chips
$2 per kg
Fatima uses 6. 2 pints of white paint and blue paint to paint her bedroom walls. 3 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Simplify 3xy(5x +3 - 7y)
[tex]3xy(5x+3-7y)=15x^2y+9xy-21xy^2[/tex]
can you please help?
Answer:
$103.75
Step-by-step explanation:
Hours worked on Monday: 8.30 hours (4.15 h in the morning and 4.15 h in the afternoon)
8.30 hours x $12.50 per hour: $103.75
Is (2,10) a solution to this system of equations?
y = 4x + 2
y = x + 8
Yes or no
Answer:
yes, it is
Step-by-step explanation:
10 = 4(2) + 2
10 = 8 +2
10 = 10
10 = 2 + 8
10 = 10
Answer:
The answer is yes
*View the attached graph to check your answer graphically.*
Step-by-step explanation:
y = 4x + 2
y = x + 8
For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.
First, I will substitute the second equation, for y, in the first equation:
y = 4x + 2
y = x + 8
x + 8 = 4x + 2
Next, subtract 4x from both sides to isolate x:
x + 8 = 4x + 2
-4x -4x
-3x + 8 = 2
Then, subtract 8 from both sides:
-3x + 8 = 2
- 8 - 8
-3x = -6
Now, divide both sides by -3:
-3x = -6
/-3 /-3
x = 2
Now, we find the value of y by substituting 2 for x:
y = 4x + 2
y = 4(2) + 2
y = 8 + 2
y = 10
(x, y) ==> (2, 10)
Therefore, yes (2,10) is a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!
Students in Ms. Seiko's class recorded the number of books they read over the summer.
books read
7 8 9 10 11 12 13 14 15
Mrs. Vitale's class is the same size as Ms. Seiko's class.
One fourth of the students in Mrs. Vitale's class read 11 books
How many students in Mrs. Vitale's class read 11 books? Enter your answer in the box
students
44 students in Mrs. Vitale's class read 11 books
Ratio and proportionsLet the number of students that read 11 books in Mrs. Vitale's class be x
If One fourth of the students in Mrs. Vitale's class read 11 books, then
1/4 x = 11 books
x = 11 * 4
x = 44
Hence 44 students in Mrs. Vitale's class read 11 books
Learn more on ratio and proportion here: https://brainly.com/question/2914376
Answer:
Step-by-step explanation:
The total number of students that are plotted on the line plot is 20.
We are given that Mrs. Vitale's class is the same size as Ms. Seiko's class so both classes have 20 students in each.
One fourth of the students in Mrs. Vitale's class read 11 books.
1/4 *20/1 =5 students
Chloe has taken four tests this semester. Her scores on the three tests are 87, 78, and 61. If her test average is 78.5, what is her grade on her 4th test?
n = last test
(87 + 78 + 61 + n) : 4 = 78,5
87 + 78 + 61 + n = 78,5 x 4
n = 314 - 226
n = 88
4.
Which expression is equivalent to x^4 – 2x^3 + x^2 ?
-
A. x²(x - 1)^2
B. x²(x + 1)^2?
C. (x + 9)(x - 9)
D. 2(x+ 3)(x - 3)
Answer:
Dont have an answer but maybe this will help
Step-by-step explanation:
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
estimation we are told 5 miles is 8 km.
ert 68 km to miles.
pls help
If we know that 455 students are in school today and that number represents 70% attendance. Use the following equation .70s=455 to figure out how many students are in the school. *
A 650
B 318
C 485
D 620
Please help me. I need the answer.
Answer:
Hello there! The answer is 3 seconds.
Number 8 please thanks!
[tex]4b(b+2)=16+4b^2\\4b^2+8b=16+4b^2\\8b = 16 + 4b^2-4b^2\\8b = 16\\b = 2[/tex]
Hope that helps!
Given the function f(x) = 0. 5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9.
If the value of the function f(x) is 7, then the value of x is –16, and 24. Then the correct option is B.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The given function is f(x) = 0.5 |x – 4| – 3
If the value of the function f(x) is 7, then the value of x will be
0.5 |x – 4| – 3 = 7
0.5 |x – 4| = 10
|x – 4| = 20
x – 4 = ±20
For positive signs, we have
x – 4 = 20
x = 24
For negative signs, we have
x – 4 = –20
x = –16
More about the function link is given below.
https://brainly.com/question/5245372
a dogs leash is tied to a pole while the owners go into a resturaunt to get the dog some water. if the leash is 7 ft long, and hte dog can walk 180 degrees in a semi circle, how many feet can he walk if he extends the leash as far as it can go.
Answer: 22 ft
Step-by-step explanation:
The path that the dog can walk if he maximally extends his leash is the path of a semi-circle, which has a radius of 7ft.
The distance along a full circle is given by the circumference of the circle, which is related to the radius. To find the length of the path that the dog walks, we evaluate half the circumference.
[tex]\begin{aligned}&D=\frac{C}{2} \\&D=\frac{2 \pi r}{2} \\&D=\pi r \\&D=7 \pi \\&D \approx 22\end{aligned}[/tex]
Therefore, the dog can walk about 22 ft if he extends the leash as far as it can go.
At what position on the number line is the red dot located?
A.
0.25
B.
0.75
C.
0.5
D.
0
Answer:
C. 0.5..................
A vessel is in the shape of a right circular cone. The
radius of the top is 8 cm and the height is 40 cm.
Water is poured into the vessel at a rate of 20 cm /s.
Calculate the rate at which the water level is rising
when
(i) the water level is 12 cm from the vertex,
(ii) the vessel is one-quarter full.
The conic water vessel of height 40 cm and radius 8 cm filled at 20 cm^3/s gives;
The rate at which the water level is rising when the water level is 12 cm from the vertex is approximately 1.1 cm/s.When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.How can the water level rate be found?The volume of the vessel, v = π•r^2•h/3
[tex] \frac{h}{r} = \frac{40}{8} = 5[/tex]
h = 5•r
Therefore;
v = π•r^2•(h)/3 = π•(h/5)^2•h/3
v = π•h^3/75
By chain rule of differentiation, we have;
[tex] \frac{dv}{dh} = \frac{dv}{dt} \times \frac{dt}{dh} [/tex]
Which gives;
[tex]π• \frac{ {h}^{2} }{25} = 20 × \frac{dt}{dh} [/tex]
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {h}^{2} }{25} } [/tex]
When the height is 12 cm from the vertex, we have;
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {12}^{2} }{25} } = 1.1 [/tex]
The rate at which the water level is rising when the water level is 12 cm from the vertex is approximately 1.1 cm/s.When the vessel is one-quarter filled, we have;
v = π•h^3/75
π•(40)^3/(75×4) = π•h^3/75
10•(40)^2 = 16,000 = h^3
h = (16,000)^(1/3) = 25 (approx)
Which gives;
[tex] \frac{dh}{dt} = \frac{20}{\pi \frac{ {25}^{2} }{25} } = 0.21 [/tex]
When the vessel is one-quarter filled the rate at which the water level is rising is approximately 0.21 cm/s.
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Raila has 7 different posters to be hung in her living room bedroom and kitchen.Asumming she has plans to place at least a poster in each of the 3 rooms how many choices does she have?
Answer:
She has about 2 choices
Step-by-step explanation:
7 ÷ 3 ≈ 2.3
≈ 2
Here's Francesca's description of the scatterplot:
There is a strong nonlinear association between group size and time. There don't seem to be any outliers.
What, if anything, is missing from this description?
Choose 1 answer:
A:Form
B: Direction
C: Strength
D: Outliers
E: Nothing is missing: this is a complete description.
A community theater group produced 8 plays over the last two years. The
group's goal for the next two years is to produce at least 1 times as many
plays as they did in the two previous years. How many plays does the group
want to produce in the next two years?
Answer: 8 plays.
Step-by-step explanation: I might be missing something here, but it says at least 1 times as many plays?? 8 * 1 = 8, so I guess 8 plays?
convert 0.2 m^ 3 , into c * m ^ 3
Step-by-step explanation:
[tex] {m}^{3} = {cm}^{3} = \div {10}^{6} [/tex]
0.2m^3 = 0.0000002 cm^3
It cost marci 33 cents to mail a postcard and 49 cents to mail a letter. she sent either a postcard or a letter to each of 28 people and spent $13.08. let x represent the number of postcards she wrote and write an algebraic expression for each item in parts a through c.
Answer:
24 Letters and 4 Postcards
Step-by-step explanation:
We have to set up a system of equations, since we have two unknown variables. Lets say postcards is the variable "x" and letters is the variable "y".
Our first equation will be the money spent: 0.33x + 0.49y = 13.08, this comes from knowing that it costs 0.33 dollars to mail a postcard and 0.49 dollars to send a letter.
The second equation is the total sent: x + y =28.
Now we need to solve for a single variable, let's do y (or letters). If we subtract y from both sides we get: x = 28 - y.
We can plug that into our first equatino to get: 0.33(28 - y) + 0.49y = 13.08.
If we multiply things out we get: 9.24 - 0.33y + 0.49y = 13.08, and now we have like terms. 9.24 + 0.16y = 13.08.
Subtract 9.24 from both sides to get: 0.16y = 3.84
Divide both sides by 0.16 to get: y = 24.
Now we can plug this into x + y = 28 to see that x= 4.
You could make sure this is correct by solving for x instead of y and do the same process.
Hope this helps.
Determine the amount needed such that when it comes time for retirement, an individual can make monthly withdraws in the amount of $2,154 for 30 years from an account paying 5. 1% compounded monthly. Round your answer to the nearest cent. A. $396,721. 78 b. $398,407. 85 c. $775,440 d. $1,833,962. 40 Please select the best answer from the choices provided A B C D.
Answer:
b i took this exam 90% sure its B
Step-by-step explanation:
B
B
B
second 1
I have a recipe to make 48 cupcakes. The recipe says that I need 8 eggs . I only need to make 12 cupcakes . how many eggs will I need
Answer:
you need 32 eggs
Step-by-step explanation:
48 divided by 12=4
8x4=32
Answer:
2 eggs
Step-by-step explanation:
take the 48 and divide by 12 to get the answer, then take the 8 eggs and divide it by the answer you get to the first part, and you will get the amount of eggs.
Triangle XYZ is dilated by a scale factor of 4 3 . Which algebraic rule represents how to find the coordinates of triangle X’Y’Z’?
When the triangle XYZ is dilated by a scale factor of 4/3, the resulting triangle would have a bigger side lengths
The algebraic rule is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
How to determine the algebraic rule?From the question, we understand that:
The scale factor (k) of the dilation is:
k = 4/3
The dilation rule across the origin is represented as:
[tex](x,y) \to k(x,y)[/tex]
Substitute 4/3 for k
[tex](x,y) \to \frac 43(x,y)[/tex]
Expand
[tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
Hence, the algebraic rule that represents how to find the coordinates of triangle X’Y’Z’ is [tex](x,y) \to (\frac 43x,\frac 43y)[/tex]
Read more about dilation at:
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