x + y = 71.5
x = 47.8
y = 71.5 - 47.8
71.5 - 47.8 = 23.7
y = 23.7 pounds
Please solve in subtraction method! Will give brainliest!!!
The value of x and y is 1 and 4.
Mr. Brooks is buying felt to cover a triangular putting green of his miniature golf course. The base of the green is 4 feet wide, and the height is 12 feet. The felt costs $1. 99 per square foot. What is the cost of the felt to cover the green? $23. 88 $31. 84 $47. 76 $95. 52.
The total cost of the triangular felt of the 24 square feet is 47.76 Dollars. Then the correct option is C.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Mr. Brooks is buying felt to cover a triangular putting green of his miniature golf course.
The base of the green is 4 feet wide, and the height is 12 feet.
The area of the triangle will be
[tex]\rm Area = \dfrac{1}{2}*base *height\\\\Area = \dfrac{1}{2}*4*12\\\\Area = 24[/tex]
The area of the triangle is 24 square feet.
The felt costs $1. 99 per square foot. Then the cost of 24 square feet will be
[tex]\rm Total\ cost = 1.99*24\\\\Total\ cost =\$ \ 47.76[/tex]
The total cost of the 24 square feet is 47.76 Dollars. Then the correct option is C.
More about the triangle link is given below.
https://brainly.com/question/25813512
Rodrigo works for a company that ships orders from two different locations—location A and location B. He wonders if the same proportion of orders arrive late from each location. He takes a random sample of orders from each location to test if there is a significant difference in the proportion of orders that arrive late from each location.
Which of the following is an appropriate set of hypotheses for Rodrigo's significance test?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\begin{aligned} &H_0: p_\text{A} - p_\text{B}=0\\ &H_\text{a}: p_\text{A} - p_\text{B} <0 \end{aligned}
H
0
:p
A
−p
B
=0
H
a
:p
A
−p
B
<0
(Choice B)
B
\begin{aligned} &H_0: p_\text{B} - p_\text{A}=0\\ &H_\text{a}: p_\text{B} - p_\text{A} <0 \end{aligned}
H
0
:p
B
−p
A
=0
H
a
:p
B
−p
A
<0
(Choice C)
C
\begin{aligned} &H_0: p_\text{A} - p_\text{B}=0\\ &H_\text{a}: p_\text{A} - p_\text{B} \neq 0 \end{aligned}
H
0
:p
A
−p
B
=0
H
a
:p
A
−p
B
=0
(Choice D)
D
\begin{aligned} &H_0: p_\text{B} - p_\text{A}\neq0\\ &H_\text{a}: p_\text{B} - p_\text{A} =0 \end{aligned}
H
0
:p
B
−p
A
=0
H
a
:p
B
−p
A
=0
According to the described situation, the appropriate set of hypotheses for Rodrigo's significance test are given by:
[tex]H_0: p_A - p_B = 0[/tex]
[tex]H_1: p_A - p_B \neq 0[/tex]
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference between the locations, that is:
[tex]H_0: p_A - p_B = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, that is:
[tex]H_1: p_A - p_B \neq 0[/tex]
More can be learned about hypothesis tests at https://brainly.com/question/26454209
You had $50. You spent 10% of the money on clothes, 20%
the rest on books. How much money was spent on books
Answer:
$9 was spent on books
Step-by-step explanation:
10% of 50 = 5
50-5 = 45
20% of 45 = 9
Answer:
$9
Step-by-step explanation:
Given:
You had $50
Spend 10% on clothes
Spend 20% rest on books
Solve:
$50 x 10% = 5
$50 - 5 = $45 [ Spend on clothes]
$45 x 20% = 9 [ Spend on Book]
Thus, Spend on books = $9
[RevyBreeze]
Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. 18 24 = x 18 squared 24 = x (18 24) squared = x squared 18 squared 24 squared = x squared.
Answer:
18 squared + 24 squared = x squared
Step-by-step explanation:
As we know from Pythagorean theorem:
a^2=b^2+c^2, where a -s hypotenuse and b&c are adjacent sides of right angle.
Here we should have: x^2=18^+24^2
What is this
F(x)=-x^2-3. 7x-6. 5
Find the maximum value
Round to the nearest hundredth
"Find the maximum value" or namely find the value of f(x) at the vertex point, like the one in the picture below.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+-3.7}x\stackrel{\stackrel{c}{\downarrow }}{+-6.5} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -3.7}{2(-1)}~~~~ ,~~~~ -6.5-\cfrac{ (-3.7)^2}{4(-1)}\right)\implies \stackrel{maximum~value}{(-1.85~~,~~\stackrel{\downarrow }{-3.08})}[/tex]
Faith is taking an $8,100, 2 ½ -year loan with an APR of 8. 22%. What is the monthly payment for this loan?
Using simple interest, it is found that the monthly payment for this loan is of $325.485.
Simple InterestSimple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount.r is the interest rate, as a decimal.In this problem, the parameters are A(0) = 8100, r = 0.0822, t = 2.5, hence, the total amount is:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]A(t) = 8100[1 + 0.0822(2.5)][/tex]
[tex]A(t) = 9764.55[/tex]
it will be paid over 2.5 x 12 = 30 months, hence the monthly payment is given by:
M = 9764.55/30 = $325.485.
More can be learned about simple interest at https://brainly.com/question/25296782
The volume of a cylinder is 1087 cm and its height is 12 cm.
Step-by-step explanation:
Appropriate QuestioN :The volume of a cylinder is 108π cm³ and its height is 12 cm. What is the length of the cylinder's radius?Need to FinD :We have to find the length of the cylinder's radius.[tex] \red{\frak{Given}} \begin{cases} & \sf{Volume\ of\ the\ cylinder\ =\ {\pmb{\sf{108{\pi}\ cm^3.}}}} \\ & \sf{Height\ of\ the\ cylinder\ =\ {\pmb{\sf{12\ cm.}}}} \end{cases}[/tex]
We know that,
The volume of a cylinder is the density of the cylinder which shows the amount of material contained in the cylinder. The volume of the cylinder is given by, πr²h.Where,
r is for radius.h is for height.[tex]\rule{200}{3}[/tex]
Now, let's calculate the length of the cylinder's radius.[tex] \sf \dashrightarrow {Volume\ of\ cylinder\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\pi}\ =\ {\pi}r^2h} \\ \\ \\ \sf \dashrightarrow {108{\cancel \pi}\ =\ {\cancel \pi}r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {108\ =\ r^2 \times 12} \\ \\ \\ \sf \dashrightarrow {\dfrac{\cancel{108}}{\cancel{12}}\ =\ r^2} \\ \\ \\ \sf \dashrightarrow {r^2\ =\ 9} \\ \\ \\ \sf \dashrightarrow {r\ =\ \sqrt{9}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{r\ =\ 3\ cm.}}}}_{\sf \blue{\tiny{Radius\ of\ cylinder}}}} [/tex]
∴ Hence, the length of the cylinder's radius is 3 cm.
One of the legs of a right triangle measures 19 cm and its hypotenuse measures 13 cm, Find the measure of the other leg. If necessary, round to the nearest tenth.
not possible, the hypotenuse must be the longest side of a right triangle
Emily’s bedroom ceiling needs to be repainted due to a leak in the ceiling. How many square feet will she be painting
Answer:
64
Step-by-step explanation:
5*8+6*4
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Maria had some candy to give to her four children.She first took three pieces for herself and then evenly divided the rest among her children.Each child received five pieces.With how many pieces did she start?
Step-by-step explanation:
her and 4 children
she had 3
rest divided by 4
each child had 5
and 4 children
so
4 * 5 = 20
20 for children and 3 for her
20 + 3 =
answer in comments
please mark brainest
Answer:
23
Step-by-step explanation
5 pieces of candy for each of the 4 children plus the 3 she took equals 23
Please help Ill mark and worth 40 points.
a.) What is the measure of ZB ? (just write the numerical answer in the blank below, do not type in the word degrees) (
b.) Are the two triangles shown similar? (write yes or no in the second blank) (5 points)
Hurry please!! Write an equation of the line in slope-intercept form
Answer:
D
Step-by-step explanation:
Answer:
[tex]d)\ y=\frac{1}{3}x +2[/tex]
Step-by-step explanation:
Slope (m) form: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-2}{3-0} \\\\m=\frac{1}{3} \\\\m=\frac{1}{3}[/tex]
[tex]y=mx+b\\y=\frac{1}{3}x +b[/tex]
(3, 3)
[tex]y=\frac{1}{3}x +b\\3=\frac{1}{3}(3) +b\\3=1+b\\-1-1\\2 =b[/tex]
[tex]y=\frac{1}{3}x +2[/tex]
Check your answer:
[tex]y=\frac{1}{3}x+2 \\3=\frac{1}{3}(3)+2\\3=1+2\\3=3[/tex]
This statement is true
Hope this helps!
HELPPPPPPPPPPPPPP!!!!!!!! PLEASEEEEEEE
Answer:
No solution
Step-by-step explanation:
The slopes of both equations are identical (both being 2/3), therefore the only possible answers would be "infinitely many solutions" and "no solution". Because of the fact that the y-intercepts of the equations are different (-10 and 10) they two lines will never cross, meaning there is no solution.
Answer:
no solution
Step-by-step explanation:
[tex]\frac{2}{3} x - 10 = \frac{4}{6} x + 10[/tex]
Reduce the fraction:
[tex]\frac{2}{3} x - 10 = \frac{2}{3} x + 10[/tex]
Rearrange variables to the left side of the equation:
[tex]\frac{2}{3} x - \frac{2}{3} x = 10 + 10[/tex]
Apply the inverse property of addition
0 = 10 + 10
0 = 20
Based on the given conditions, the system of equations has no solution.
hope this helps!! p.s. i really need brainliest :)
Please can you guys help me
Answer:
Calculator
Step-by-step explanation:
Literally all you have to do is multiply every number on one tow
iygm
it's actually easier than you might think
good luck!
please help this is due tomorrow
Answer:
2.35
Step-by-step explanation:
divide by 1000
Tell weather the angles are adjacent or vertical then find the value of x
Answer:
x = 49
Step-by-step explanation:
Pls, choose me as brainliest!
Answer:
=> x = 49Step-by-step explanation:
=> x + 10 = 59 { They are equal because they are vertically opposite angle }
=> x = 59-10
=> x = 49
=> x+10 => 49+ 10 => 59
Ben is 4 times as old as Ishaan and is also 6 years older than Ishaan.
How old is Ben?
✪According to question:-
Ben is 6 years older than Ishaan
So :-
Ben age - Ishaan age = 6 yearsput supposed values
4x - x = 63x = 6x = 6 ÷ 3x = 6/3x = (2 × 3)/3x = 2/1x = 2Original Ages :-
Ishaan age = xIshaan age = 2 yearsBen age = 4xBen age = 4(2)Ben age 4 × 2Ben age = 8 years✪Verification :
1st condition:-
Ben age - Ishaan age = 6 yearsput original ages
8 - 2 = 66 = 6LHS=RHS
Hence verified !
Required answer :-Ben's age = 8 years
estimate 33.2 x 21 fast please
Find the volume of the box
Answer:200
Step-by-step explanation:
Volume formula: length x width x height
5x4x100=200
True or False The Solutions, Roots, X-intercepts and zeros of a quadratic equation are all the same thing? why
Yes, solutions, roots, x-intercepts, and zeros are the same thing.
What is a quadratic equation?
The general quadratic equation is given by:
a*x^2 + b*x + c = 0
So the solutions are the values of x such that the above thing is zero.
On another hand, a parabola or a quadratic function is given by:
a*x^2 + b*x + c = y
The roots, zeros, or x-intercepts (these represent the same thing) are given by:
a*x^2 + b*x + c = 0
Zero or Root means that when you evaluate the function in that value the outcome is zero.X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.
Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.
If you want to learn more about quadratic functions, you can read:
https://brainly.com/question/1214333
Place them in the correct place on the diagram (rational,integers, and whole) view the image
Answer:
rational: 4¾, ¼, -0.9
whole: 8
integers: 8, -16
Step-by-step explanation:
rational numbers are numbers that can be expressed as a fraction. (-0.9 = -9/10)
whole numbers are numbers that do not have a fraction but they do not include negative numbers.
integers are numbers that can be expressed as a whole number with no fractions.
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Answer:
x = 28°
Explanation:
m || n|| means parallel lines.
x = 28°reason:
Alternate interior angles, so has same angle measure.
Find the value of x, the area is 48 inches squared.
Answer: x=8in.
Step-by-step explanation: Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.
Answer:
x = 3
Step-by-step explanation:
there are 4 right triangles inside the quadrilateral
area of 4 triangles
= 4 × [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
= 4 × [tex]\frac{1}{2}[/tex] × 8 × x
= 2 × 8x
= 16x , then
16x = 48 ( divide both sides by 16 )
x = 3
Find the co-ordinate of the point where y-4x=1 crosses the y-axis
Answer: (0,1)
Step-by-step explanation:
When a line crosses the y-axis, the x-coordinate must equal to 0.
Now we can plug in x = 0 into the equation given:
y - 4*0 = 1
y- 0 = 1
y = 1
Therefore, the point where the line crosses the y-axis is (0,1)
what is the area of this face
HELP ASAP
Antonio's sister has challenged him to find the sum of the 23rd through 40th terms of the series. Help
Antonio by finding this value. Explain your reasoning and show your work below.
The function A(n) = 22(1.1)^n-1 is an illustration of a geometric series
The sum of the 23rd through 40th terms of the series is 17.49
How to determine the sum of the seriesThe nth term of the geometric series is given as:
[tex]A(n) = 22(1.1)^{n-1[/tex]
The nth term of a series is represented as:
[tex]A(n) = ar^{n-1[/tex]
So, by comparison;
We have:
[tex]a = 22[/tex]
[tex]r = 1.1[/tex]
The sum of nth term of a geometric progression is:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
Start by calculating the sum of the first 22 terms
[tex]S_{22} = \frac{22(1.1^{22} - 1)}{22 - 1}[/tex]
[tex]S_{22} = \frac{157.086}{21}[/tex]
[tex]S_{22} = 7.48[/tex]
Next, calculate the sum of the first 40 terms
[tex]S_{40} = \frac{22(1.1^{40} - 1)}{40 - 1}[/tex]
[tex]S_{40} = \frac{973.70}{39}[/tex]
[tex]S_{40} = 24.97[/tex]
Subtract S22 from S40
[tex]S_{40} - S_{22} = 24.97 - 7.48[/tex]
[tex]S_{40} - S_{22} = 17.49[/tex]
Hence, the sum of the 23rd through 40th terms of the series is 17.49
Read more about progression at:
https://brainly.com/question/12006112
Suppose you roll a number cube. What is the probability that you roll a number greater than 1?
Answer:
Ok a cube has 6 sides and the choices are 1,2,3,4,5,6. As you can see you need to know the probability getting greater than 1. So 2,3,4,5,6 are greater so, the answer would be 5/6 into percentage around 83% of getting greater than 1.
Step-by-step explanation:
9. The area of a circle is 706.97 in2. Find the radius.
Answer:
15
Step-by-step explanation:
Using the formula
A=πr2
Solving
r=√A/π
r=√706.97/22/7
r≈15.00118