Answer:
25 and 15
You can easily make a system of equations:
x + y = 40
x - y = 10
Solving for x on equation 2 gets x = 10 + y.
Plugging in this into the first equation, you get 10 + y + y = 40
Thus, 10 + 2y = 40
y = 15.
Plugging this back into either equation gets x = 25.
The circumference of a circle is 28 pi inches. What is the length of the radius of this circle?
14 in.
21 in.
28 in.
56 in.
Answer:
The radius is 14 with a circumference of 28
The radius of the circle with circumference 28π is given by r = 14 inches
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be represented as r
Now , the equation will be
The circumference of the circle C = 28π inches
And , circumference of circle = 2πr
On simplifying , we get
2πr = 28π
Divide by π on both sides , we get
2r = 28
Divide by 2 on both sides , we get
r = 14 inches
Hence , the radius of the circle is 14 inches
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John runs 5 miles in 3/4 of an hour.
At the same pace, how many hours will
it take him to run only 1 mile?
John's speed is 6.67 miles per hour. Therefore, it would take him approximately 0.15 hours or 9 minutes to run 1 mile at the same pace.
Explanation:The subject of this problem is rate. We can calculate John's speed by dividing the distance he covers by the time it takes. In this case, John ran 5 miles in 3/4 of an hour. So, his speed is 5 miles divided by 3/4 hour, which equates to 6.67 miles per hour. This means he runs 6.67 miles in 1 hour.
Given that speed is constant, if John wants to run only 1 mile, we simply divide this distance by his speed. So, 1 mile divided by 6.67 miles per hour gives 0.15 hours, or approximately 9 minutes. So, it would take John about 0.15 hours or 9 minutes to run 1 mile at the same pace.
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Which of the following scenarios describes the surface area of a figure? Select all that apply:
Putting a seed and dirt into a hole when planting
Painting the walls of a wooden toy chest
Filling a box with spaghetti noodles
Frosting a cake for a birthday
Help rhis is geometry
Answer:
They are not congruent
Step-by-step explanation:
ellie buys a mobile phone in spain €352.50 her brother jack buys an identical phone in japan for ¥39856 work out how much it is in £
Answer:
a) The best deal was in Japan
b) The difference is £38
Step-by-step explanation:
First, find out the cost in pounds for both of the purchases.
Japan:
39856 / 188 = 212.
the Japanese phone cost £212.
Spain:
352.50 / 1.41 = 250.
the Spanish phone cost £250.
Then, subtract the costs to find the difference:
250 - 212 = 38
The Identical phone in Japan is €28163.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Price of the phone in Spain = €352.50
Price of the phone in Japan = ¥39856
Now,
€1 = ¥141.52
Multiply 39856/141.52 on both sides.
39856/141.52 x 1€ = 39856/141.52 x ¥141.52
€28163 = ¥141.52
Thus,
The cost of a phone in Japan is €28163.
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Question 9 (5 points)
Moe has been offered two different summer jobs. Job A would pay him an hourly rate of $12. Job B would pay him $510 for a 40-hour work week. Which job has a higher rate of pay? There isn't enough information to determine which job has a higher rate of pay.
Job B
Job A and Job B have equal rates of pay.
Job A
Answer:
$12.75
Step-by-step explanation:
Moe has been offered two different summer jobs. Job A would pay him an hourly rate of $12. Job B would pay him $510 for a 40-hour work week. First, you have to set up the problem like this:
$510/40 hr = ?/1 hr
The next step is to either cross multiply or you can divide the numerator and denominator by the denominator number because 40/1 is still going to be 40. That means, $510/40= what number?
Answer: $12.75 per 1 hour
|x−7 |=x−7
plz help show steps
Answer:
All numbers from 7 and up (x is greater than or equal to 7)
Step-by-step explanation:
|7-7| =7-7
0=0
|8-7|=8-7
1=1
BUT
|6-7| =/= 6-7
1 =/= -1
Answer:
Step-by-step explanation:
What is the length of PQ?
Answer:
It is 6 (six)
Step-by-step explanation:
The length of PQ of the triangle PQJ is [tex]5\frac{1}{3}[/tex] units.
What is a triangle?A triangle is a two-dimensional geometrical figure that has three sides, three vertices and three interior angles.
Given, m∠B = m∠P, m∠T = m∠J.
Therefore, ΔBLT and ΔPQJ are similar triangles.
Let, the length of PQ is 'x'.
Therefore, [tex]\frac{BL}{PQ} = \frac{BT}{PJ}[/tex]
⇒ [tex]\frac{4}{x} = \frac{6}{8}[/tex]
⇒ [tex]x = \frac{(4)(8)}{6}[/tex]
⇒ [tex]x = \frac{32}{6} = 5\frac{1}{3}[/tex]
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The diameter of a cylindrical construction pipe is 4 ft. If the pipe is 16 ft long, what is its volume?
Use the value 3.14 for , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer: 201 square feet
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder: π x radius² x height (in our case the length of the pipe)
Since:
Diameter = radius x 2
In our case D =4
4 = 2radius
Radius= 4/2 = 2 ft
Now that we have the radius, we can use the volume formula replacing with the values given:
V = 3.14x 2² x 16 = 3.14 x 4 x16 =200.96 = 201 square feet
If x = 1/2, then x − 1/2 = 0. This is the same as (?) = 0.
In completely factored form, f(x) = (?).
Answer:
2x-1 =0 F(x)=(x+1)(x-2)(2x-1)^2
Step-by-step explanation:
Answer:
2x-1
(x+1)(x-2)(2x-1)^2
Step-by-step explanation:
How to find the perimeter of a triangle
Answer:
Analyze then add
Step-by-step explanation:
Basically, just analyze the lengths of the sides, and then add them together for the perimeter
Thank me later :)
Answer:
s+s+s=p
Step-by-step explanation:
Just add the three side measurements. Answer will contain a unit most of the time. Remember to convert units if its asking for different units.
Right now there are 600 everlasting roses in my garden. I want at
least 200 roses in the garden at all times. If the gardener is cutting
25 roses a week to decorate my throne room, how many more
weeks will be able to have AT LEAST 200 roses in my garden?
Answer:
16 weeks
Step-by-step explanation:
400/25 =16
x2 + 4x + xy + 4y
Whats the answer for this?
Assuming you want to factor, then you would use the factor by grouping method
x^2+4x + xy+4y
(x^2+4x) + (xy+4y)
x(x+4) + y(x+4)
(x+y)(x+4)
Therefore, x^2+4x + xy+4y factors to (x+y)(x+4)
Sort data from least to greatest
0, 0, 1/2, 1, 1, 5/4, 1/4, 2, 1, 2, 1/2
Answer:
0, 0, 1/4, 1/2, 1/2, 1, 1, 1, 5/4, 2, 2
Step-by-step explanation:
Two rectangular prisms have the same volume. The area of the base of the blue prism
is 4 1/8 square units. The area of the base of the red prism is one-half that of the blue
prism. Which statement is true?
CLEAR
CHECK
A.The height of the red prism is four times the height of the
blue prism.
B.The height of the red prism is two times the height of the
blue prism.
C.The height of the red prism is one-half the height of the
blue prism.
D.The height of the red prism is the same as the height of
the blue prism.
The height of the red prism must be twice the height of the blue prism.
Volume of a prism can be calculated as the area of the base multiplied by the height. Since the height of the blue prism is twice that of the red prism, the height of the red prism must be twice as much as that of the blue prism to make the volumes equal.
Can you please help me I will reward brainliest plz hurry
Answer:
172 m^2.
So you already have it on the correct answer.
Step-by-step explanation:
For you to find the surface area, you need to find out the areas of all the different colored sections.
There are 6 sections.
2 green, 2 purple, and 2 red.
Green section: (length x width) 7 x 8 = 56
Purple section: (length x width) 2 x 8 = 16
Red section: ( length x width) 7 x 2 = 14
Total: 56 + 16 +56 + 16 + 14 + 14 = 172 cm².
Feel free to let me know if you need more help. :)
A television screen with a 12 inch diagonal has a height of 9 inches what is the diagonal of a similar television screen with a height of 24 inches?
Answer:
5 and 12
Step-by-step explanation:
6 cm
4 cm
7 cm
It’s a rectangular pyramid.
HOPE THIS WILL HELP U...
I need help with this other 1 last question and that is it, I'll do the rest!
Answer:
DO IT ON UR OWN EARTHLING
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Name the quadrant in which the angle lies.
859°
Answer:
2
Step-by-step explanation:
The radius of a circle is 1 inch. What is its circumference?
sorry
5. Ricky invested $1000 in an account at 8% interest compounded quarterly. How much money will he have earned on the account after 7 years?
A. $1,741.02
B. $1,713.82
c. $713.82
D. $741.02
Please help I’m giving a lot of points I need this now
Answer:
the answer is b
Step-by-step explanation:
Final answer:
Ricky will have earned C. $713.82 on his $1000 investment at 8% interest compounded quarterly after 7 years, totaling $1,713.82 in the account.
Explanation:
Ricky invested $1000 in an account at 8% interest compounded quarterly. To calculate the future value of his investment after 7 years, we use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.
Given:
P = $1,000
r = 0.08 (8% written as a decimal)
n = 4 (compounded quarterly)
t = 7 (7 years)
Now we plug these values into the formula.
A = 1000(1 + 0.08/4)^(4*7)
A = 1000(1 + 0.02)^(28)
A = 1000(1.02)^28
A = $1,713.82
The correct answer is B. $1,713.82.
The radius of a circle is 40ft. Which is true statement ability the circumference(c)?
A. 40ft.
B. 160ft.
C.80ft.
D. 240ft.
Answer:
C =251.2 ft
Step-by-step explanation:
To find the circumference we use
C = 2 * pi *r
C = 2 *pi * 40
C = 80 pi
C = 80 *3.14
C =251.2
PU 15 cm
0
162
1. Find the arc length of PQR.
what is the factored form of x^2 - 6x + 8
A fitness club charges $100 to join and $33 for each month.
Part A
Choose an expression for the word problem above.
Part B
Find the cost for 6 months of membership.
Answer:
100 + 33m, $298
Step-by-step explanation:
33 times 6 plus 100
Answer:
298
Step-by-step explanation:
Find the area of a polygon using the given apothem
Plz anwser, will mark brainest!! Tell me what u did, plz anwser nobody else will
Answer: 7) 162.15 yd^2 8) 439.7 yd^2 9) 151.42 yd^2
Step-by-step explanation:
What is the equation of the line?
Answer:
y = 1/4x - 3.
Step-by-step explanation:
We see that the line passes through the points (4, -2) and (0, -3) so the slope is (-3 - (-2) / (0-4)
= -1 / -4
= 1/4 = the slope of the line.
The slope-intercept form of a straight line is y = mx + b where m = slope and b = y-intercept. Here the y-intercept is at (0, -3) so b = -3.
So the equation of the line is y = 1/4x - 3.
Find the lengths of the triangle.
Answer:
AB= 10 BC= 17 AC= 10 x=10
Step-by-step explanation:
trust me
The triangle on the grid will be translated two units left. On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 1, negative 5), (0.5, negative 5). Which shows the triangle when it is translated two units left? On a coordinate plane, triangle A prime B prime C prime has points (1, negative 1), (1, negative 5), (2.5, negative 5). On a coordinate plane, triangle A prime B prime C prime has points (negative 3, negative 1), (negative 3, negative 5), (negative 1.5, negative 5). On a coordinate plane, triangle A prime B prime C prime has points (negative 1, 1), (negative 1, negative 3), (0.5, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (negative 1, negative 3), (negative 1, negative 7), (0.5, negative 7) hurry please its timed ;-;
Answer:
Option B.
Step-by-step explanation:
The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).
We need to find the coordinates of triangle when it is translated two units left.
So, the rule of translation is
[tex](x,y)\rightarrow (x-2,y)[/tex]
Using this rule, we get
[tex]A(-1,-1)\rightarrow A'(-1-2,-1)=A'(-3,-1)[/tex]
[tex]B(-1,-5)\rightarrow B'(-1-2,-5)=B'(-3,-5)[/tex]
[tex]C(0.5,-5)\rightarrow C'(0.5-2,-5)=C'(-1.5,-5)[/tex]
The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).
Therefore, the correct option is B.
Answer:
the answer is B
Step-by-step explanation:
I don't give explanations all you want is the answer