Answers
Related Questions
find three consecutive odd integers such that the square of the first plus the square of the third is 170
Answers
x
x + 2
x + 4
x^2 + (x + 2) + (x + 4)^2 = 170
Take it from here.
A store offers customers two ways to pay for a new TV. Option 11: Pay $1,500$1,500 today. Option 22: Pay nothing today, and take out a simple interest loan to pay a total of $1,650$1,650 one year from now. What is the simple interest rate on the loan in option 22?
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Option 1: If the customer pays today, the amount needed is only $1500.
Option 2: If the customer pays after 12 months, the total amount is $1650.
The equation is $1500+ ($1500x%charge) =$1650. Solve for % charge after 12 months, %charge = ($1650-$1500) /$1500 %charge =0. 1 or 10%
Therefore, the percent charge after 12 months is 10%.
Find the dimensions of the rectangle with largest area that can be inscribed in an equilateral triangle with sides of 1 unit, if one side of the rectangle is on the base of the equilateral triangle.
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A = L x W
If we let L be the length and given that the triangle is equilateral with sides equal to 1, the value of W should be (0.5 - L/2)(tan 60)
W = (0.5 - L/2)(tan 60)
Simplifying the expression for the width,
W = 0.866 - 0.866L
The area now becomes,
A = (L)(0.866 - 0.866L)
Simplifying,
A = 0.866L - 0.866L²
Derive and equate to zero for the maximum value of L.
dA = 0.866 - 2(0.866)(L) = 0
The value of L from the equation should be 0.5.
W = 0.866 - 0.866(0.5) = 0.433
Answer: L = 0.5
W = 0.433
The function graphed represents the amount of water in a container, in gallons, x minutes after a drain is opened.
What is the meaning of each key feature of the graph?
Drag the answer into the box to match each item.
Answers
The y-intercept: The number of gallons in the container before the drain is open
Hope this helps!!
Let
x-------> the time in minutes
y-----> the function that represent the amount of water in gallons
Step 1
Find the x-intercept
we know that
The x-intercept is the value of x when the value of the function is equal to zero
In this problem (see the graph)
For [tex]y=0[/tex]
the value of x is [tex]15\ min[/tex]
so
the x-intercept is the point [tex](15,0)[/tex]
that means
The number of minutes it takes for the container to empty is [tex]15\ min[/tex]
Step 2
Find the y-intercept
we know that
The y-intercept is the value of the function y when the value of x is equal to zero
In this problem (see the graph)
For [tex]x=0[/tex]
the value of the function y is [tex]120\ gal[/tex]
so
the y-intercept is the point [tex](0,120)[/tex]
that means
The number of gallons in the container before the drain is open is [tex]120\ gal[/tex]
therefore
the answer in the attached figure
The length of a quarter is 0.955 inch.Round the length of a quarter to the nearest tenth of an inch
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0.955 rounded to the nearest tenth would be 1.0
What is the area of a rectangle with vertices at (−6, 3) , (−3, 6) , (1, 2) , and (−2, −1) ? Enter your answer in the box. Do not round any side lengths.
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A store sells small notebooks for $8 and large notebooks for $10. if a student buys 6 notebooks and spends $56, how many of each size did he buy?
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Answer: 2 small, 4 large
The equation of a line is −2x+5y=−20.
What is the x-intercept of the line?
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-2x + 5y = -20
-2x + 5(0) = -20
-2x = -20
x = -20/-2
x = 10...so ur x int is 10 or (10,0) <==
The required solution of the equation of a line is −2x+5y=−20 is x = 10.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.
Given:
The given equation of a line is
−2x+5y=−20.
According to given question we have
BY the use of x- intercept put y=0 we get
-2x + 5y = -20
-2x + 5(0) = -20
-2x = -20
x = -20/-2
x = 10.
Therefore, the required solution of the equation of a line is −2x+5y=−20 is x = 10.
Learn more details about equation here:
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Jose receives a $10 gift card for downloading music and wants to determine how many songs he can purchase. Each downloaded song costs $1.19. Write and solve an inequality to determine how many songs Jose can purchase. What does the solved inequality represent?
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Final answer:
To determine the number of songs Jose can purchase using his gift card, the inequality 1.19x ≤ 10 is solved, resulting in x ≤ 8.4, meaning Jose can purchase a maximum of 8 songs.
Explanation:
Jose's gift card scenario:
Let's denote the number of songs he can purchase as x.
The inequality to represent this situation is: 1.19x ≤ 10 (the total cost of the songs cannot exceed the value of the gift card).
Solving for x, we get x ≤ 8.4. Since he can't purchase a fraction of a song, Jose can purchase a maximum of 8 songs using the gift card.
In a zoo there are 17 more monkeys than lions and 30 more lizards than lions. If there were 151 monkeys, lions and lizards in total, how many of each kind are there?
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i think its D but who knows HEEEEELELELLELEELEP
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you plus 4 friends = 5 people
them multiply 5 by m sp you get 5m
D is the correct answer
Find the greatest common factor of 16, 27 and 20
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The factors for 16 are 1,2,4,8,16.
The factors for 27 are 1,3,9,27.
The factors for 20 are 1,2,4,5,10,20.
Suppose there are n students in a class what is the probability at least two students have same birthday
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1 - (1/2)^(n).
Since no specific number of students is given, we only get an expression.
Twice a number minus a second number is -1. twice the second number added to three times the first number is 9. find the two numbers
Answers
and the second be Y
so 2x-y= -1 ---------(1)
2y+3x=9 ______(2)
solve the simultaneous eqn
from eqn (1) y= 2x+1 _____(3)
sub eqn (3) into eqn(2)
2{2x+1} +3x=9
4x+2+3x=9
7x=9-2=7
x=1
sub x=1 into eqn (3)
y=2(1)+1 = 2+1 =3
the two numbers are 1 & 3
You know that you can ride your bike 8 miles in 20 minutes. At the same pace, how many miles would you go in 2 hours?
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2 hrs= 160 minutes
20 minutes= 8 miles
160 minutes= ? miles
As you can see 20 x 8 = 160 miles
So, you need to multiply 8 in both sides (meaning- 20 x 8 & 8 x 8)
160 minutes= 64 miles
Hope this helps
~Top
Macs farm has a total of 18 horses and 27 cows. what is the ratio of horses to cows in simplest form?
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Ratio = 18/27
When expressing it to its simplest form, make sure it is reduced. 18 and 27 are both factors of 9. So,
Ratio = 9*2/9*3
Cancelling out 9, the ratio at its simplest form is: 2/3
Answer:
2/3
Step-by-step explanation:
Solve this Multi-Step Equation
-3(t + 5) + (4t + 2) = 8
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-3t+4t=8+15-2
t=21
Y’all I am struggling. Help me out please I’ll give 15 points! #7
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What is f(-3) if f(x) =|2x-1|-5
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f(x) = |2*(x)-1|-5
f(-3) = |2*(-3)-1|-5 ... replace every x with -3
f(-3) = |-6-1|-5
f(-3) = |-7|-5
f(-3) = 7-5
f(-3) = 2 which is the final answer
Side Note: the vertical bars mean "absolute value" which represents distance. Negative distance makes no sense which is why absolute value results are never negative.
The value of a function is gotten from the input variable
The value of f(-3) is 2.
We have:
[tex]f(x) = |2x - 1| -5[/tex]
Substitute -3 for x
[tex]f(-3) = |2 \times -3 - 1| -5[/tex]
Multiply 2 and -3
[tex]f(-3) = |-6 - 1| -5[/tex]
[tex]f(-3) = |-7| -5[/tex]
Remove absolute bracket
[tex]f(-3) = 7 -5[/tex]
[tex]f(-3) = 2[/tex]
Hence, the value of f(-3) is 2.
See attachment for the graph of [tex]f(x) = |2x - 1| -5[/tex]
Read more about absolute functions at:
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3x - 4y = 7 , for x
15y + 1 = x , for y
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We're essentially just trying to get "x" onto it's own side.
So, in order to do this, we must get "y" onto the other side of our equal sign.
Add 4y to both sides.
3x = 4y + 7
Then, we divide 3 from both sides.
x = 4/3y + 7/3
15y + 1 = x ; Solve for y.
Instead of solving for x, we are now solving for y :)
So, in order to isolate y, we must subtract 1 from both sides.
15y = x - 1
Then, divide both sides by 15.
y = 1/15x - 1/15
~Hope I helped!~
A local hamburger shop sold a combined total of 445 hamburgers and cheeseburgers on Tuesday. There were 55 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Tuesday?
Answers
Set up an equation:
hamburgers + cheeseburgers = total number of burgers
x + (x-55) = 445
solve for x:
2x - 55 = 445
2x = 445 + 55
2x = 500
x = 500÷2
x = 250
This means 250 hamburgers were sold on Tuesday.
Hope this helps!
-Jabba
To solve for the number of hamburgers sold, two equations were setup: H + C = 445 and C = H - 55. Substituting the second equation into the first and solving for H results in finding that 250 hamburgers were sold on Tuesday.
The question asks us to find out how many hamburgers were sold on Tuesday given that a total of 445 hamburgers and cheeseburgers were sold, and there were 55 fewer cheeseburgers than hamburgers. Let's denote the number of hamburgers as H and the number of cheeseburgers as C. We have two equations here: H + C = 445 and C = H - 55. Plugging in the second equation into the first, we get H + (H - 55) = 445, which simplifies to 2H - 55 = 445. Adding 55 to both sides gives us 2H = 500, and dividing both sides by 2 gives us H = 250. Therefore, on Tuesday, the hamburger shop sold 250 hamburgers.
Sharon writes this sentence:
Seven less than two times a number is 29.
Enter the equation that represents Sharon's sentence into the box.
Use x for the variable.
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Answer:
your answer would be 2x-7+29
Where do the graphs of y = 3x and y= 3x + 4 intersect the y -axis and what is the relationship between the two lines?
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Hope I helped :)
The bakers Healthy Bakery make 250 bagels in 10 hours. How many bagels can they bake in 12 hours? What was that rate per hour?
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250/10 = 25 bagels per hour
25*12 = 300 bagels in 12 hours
250 bagels=10 hours
Y=12 hours
I represented the unknown with Y. Cross and multiply. Y will multiply 10 to give 10Y and 12 will multiply 250 to give 3000. That will be;
10Y=3000
Divide both sides by 10. You will have;
Y=3000/10
Y=300
300 bagels will be made in 12 hours
To get the number of bagels per hour, divide the number of bagels by the number of hours. That will be;
300/12=25
OR
250/10=25
Hope that helped. Have a nice day
Which ordered pairs are on the line with the equation y+3.5=0.75(x-2)? I will mark brainliest. Thanks!
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point 1: (1, 1.75)
y + 3.5 = 0.75 (x - 2)
(1.75) + 3.5 = 0.75 ((1) - 2)
5.25 = 0.75 (-1)
5.25 = -0.75 --> since these are not equation, (1, 1.75) is not correct.
Point 2: (-4, -8)
y + 3.5 = 0.75 (x - 2)
(-8) + 3.5 = 0.75 ((-4) - 2)
-4.5 = 0.75 (-6)
-4.5 = -4.5 --> this is correct because both sides are equal
Point 3: (7, 5.5)
y + 3.5 = 0.75(x - 2)
(5.5) + 3.5 = 0.75((7) - 2)
9 = 0.75(5)
9 = 3.75 --> not equal so not correct
Point 4: (4, -2)
y + 3.5 = 0.75(x - 2)
(-2) + 3.5 = 0.75(4 - 2)
1.5 = 0.75( 2)
1.5 = 1.5 --> equal so correct
So (-4, -8) and (4, -2) are your answers! Hope this helped :)
come back and mark him brainliest
-lemons 2021
I didn't get this one question right on a test. Could someone tell me what I did wrong? Plz and ty
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8 (-8) - 5x < -2 (-8)
-5x < -10
-5x/-5 < -10/-5
x > 2 (flip the sign because you divided by a negative number
x = 3, 4, 5
your answer is 3, 4, 5
note that it isn't 2, because it isn't a ≥, which means that it cannot be 2
hope this helps
What point is the image of (3,4) if it is reflected over the y axis?A. (-3,-4)B. (3,-4)C. (-3,4)D. (3,4)
Answers
answer
C. (-3,4)
If point is the image of (3,4) if it is reflected over the y axis, then the resulting point is (-3,4) (option c)
When a point is reflected over the y-axis, its x-coordinate changes sign while the y-coordinate remains the same. In other words, if we have a point (x, y), its image after reflection over the y-axis will be (-x, y).
Let's apply this rule to the given point (3, 4). When we reflect it over the y-axis, the x-coordinate changes sign, but the y-coordinate remains the same. Therefore, the image of (3, 4) after reflection over the y-axis will be (-3, 4).
So, the correct Answer: C. (-3, 4)
To know more about reflection here
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Ana wants to paint her dogs doghouse. She has 4 colors: Green, Maroon, Blue and Wheat. One color will cover the walls, and another color will be used for the trim. (For example, green walls with wheat trim = GW.) Which one of these answers show all of the possible color combinations?
A. BW, BM, BG, BB, MW, MB, MG, MM, GW, GB, GM, GG
B. GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB
C. MM, MG, WB, WM, WG, BB, BG, BM, WB, GB, GM, GW
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Let us take this one by one. One color can pair with three colors.
Green = Maroon, Blue, Wheat = GM, GB, GW
Maroon = Green, Blue, Wheat = MG, MB, MW
Blue = Green, Maroon, Wheat = BG, BM, BW
Wheat = Green, Maroon, Blue = WG, WM, WB
So the combinations are:
GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB
Which is letter B.
The awnser is b trust I got it right thank you for your time nd day
A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles. 72 gallons of gas 18 gallons of gas 23 gallons of gas 67 gallons of gas
Answers
simple first we find the miles per gallon
so 300/15=20 therefor he would only need a extra 3 gallons to go 360 miles so your answer is
B.18
Calculat the length of the circumference of a circle with diameter of 8cm.
Use [tex] \pi [/tex] = 3
Answers
The formula for finding the circumference of a circle is 2[tex] \pi [/tex]r (or 2*3*r in your terms). Although we don't have the radius yet, we can certainly find it pretty easily. Keep in mind that the radius will always be half the diameter. So, let's find the radius.
8 / 2 = 4; now we have everything we need to solve for the circumference.
2*3*4 is our expression. Now let's simplify it.
2 * 3 = 6
6 * 4 = 24
Your circumference is 24cm.
I hope this helps!