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Explanation:
x and y are the two numbers
The product of those values is 1856, so xy = 1856
The sum is 90, so x+y = 90. Solve for y to get y = 90-x
Plug this into the first equation
xy = 1856
x(90-x) = 1856
90x-x^2 = 1856
0 = x^2-90x+1856
x^2-90x+1856 = 0
Now use the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-90)\pm\sqrt{(-90)^2-4(1)(1856)}}{2(1)}\\\\x = \frac{90\pm\sqrt{676}}{2}\\\\x = \frac{90\pm26}{2}\\\\x = \frac{90+26}{2} \ \text{ or } \ x = \frac{90-26}{2}\\\\x = \frac{116}{2} \ \text{ or } \ x = \frac{64}{2}\\\\x = 58 \ \text{ or } \ x = 32\\\\[/tex]
If x = 58, then,
y = 90-x
y = 90-58
y = 32
So one pair of values is (x,y) = (58,32)
We see that x*y = 58*32 = 1856
If x = 32, then,
y = 90-x
y = 90-32
y = 58
Showing (x,y) = (32,58) is the other solution. But this is just a mirror copy of the first solution. Effectively we're saying the same thing.
The two numbers 58 and 32 multiply to 1856, and they add to 90.
The difference in the two values is 58-32 = 26 which is the final answer.
------------------------
In summary,
58*32 = 1856
58+32 = 90
58 - 32 = 26
Answer:26
Step-by-step explanation:
x+y=90
xy=1856
x*(90-x)=1856
-x^2 +90x -1856=0
or x^2 -90x +1856=0
Using quadratic equation
(x-58)*(x-32)=0
x=58, y=32
58-32=26
Please help due in 10 min.
Answer:
A: equiangular S: Right
Step-by-step explanation:
To encourage people to vote John calls his family and friends every week. If he Dedicates three hours to making calls and has a goal of making one car every 1/5 hour, how many people will he reach out to?
Answer:
15 people
Step-by-step explanation:
Allyn's room is located at (3, -3). Use words to describe the location on a
coordinate plane.
Will name brainest for the first great answer with a explanation
Her room's location is 3 right from the origin, or (0,0) , and 3 down from the origin. She is in the 4th quadrant.
(I'm not quite sure how I'm supposed to describe it...)
If ll m, find the value of each missing variable(s) .
Answer:
1. m=5
2. 2(8x+11)
3.m=7
Step-by-step explanation:
Greg has 245 cows on his farm. In the mornings, he gives them a total of 5,752 pounds of hay. If each cow eats the same amount, how much hay does each cow eat? A. 26 pounds B. 245 pounds 5,752 C. 117 23— pounds 245 D. 5,507 pounds
Answer:
I would say A because the real answer is 23.477
Step-by-step explanation:
During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390. The next month, 400 units of electricity and 250 units of gas were used for a total cost of $326. Find the cost per unit of gas.
Answer:
$0.36
Step-by-step explanation:
Let the cost per unit of electricity = e
Let the cost per unit of gas = g
a homeowner used 600 units of electricity and 100 units of gas for a total cost of 390;
600e + 100g = 390 ----- i
400 units of electricity and 250 units of gas were used for a total cost of $326.
400e + 250g = 326 ----- ii
Now we have two equations, and we solve for g;
600e + 100g = 390 ----- i
400e + 250g = 326 ----- ii
Multiply equation i by 4 and equation ii by 6;
2400e + 400g = 1560 ---- iii
2400e + 1500g = 1956 ---- iv
Subtract equation iii from iv;
1100g = 396
g = [tex]\frac{396}{1100}[/tex] = 0.36
Cost per unit of gas $0.36
. Part A: Under a dilation of scale factor 3 centered at the origin, AB becomes A'B'. Determine the coordinates of A'B' and sketch A'B' on the graph. 1 Part B: Under a dilation of scale factor - centered at the origin, AB becomes DC. Determine the coordinates of DC and sketch DC on the graph.
Answer:
Step-by-step explanation:
Part A.
Coordinates of A and B are,
A(-2, 2) and B(3, 2)
Rule for dilation of a point (x, y) by a scale factor k about the origin,
(x, y) → (kx, ky)
If the points A and B are dilated by a scale factor 3, image points will be,
A(-2, 2) → A'(-6, 6)
B(3, 2) → B'(9, 6)
Part B.
Following the same rule of dilation about the origin by a scale factor of [tex]\frac{1}{2}[/tex] about the origin,
A(-2, 2) → D(-1, 1)
B(3, 2) → [tex]C(\frac{3}{2},1)[/tex]
(34+ (9 x 2)) divide2 = _
Answer:
26
Step-by-step explanation:
9 x 2= 18
18+34= 52
52/2= 26
Equivalent fraction of 12/126
Answer:
2/21
Step-by-step explanation:
factor polynomial 4x^2+4x+1
Answer:
(2x+1)^2
Step-by-step explanation:
David's Parents have a sandwich shop. They sell sandwiches for $5 each and
bottles of water for $1 each. The owners, David's Parents, need to earn a total of
$100 by the end of the day.
a) Write a linear equation that describes the problem
b) What are the slope and the y-intercept and what do they represent?
c) Graph the linear equation the shop's revenue. Make sure to label both axes with
appropriate titles.
d) Then use the graph to determine how many sandwiches the shop must sell if no
waters are sold.
Answer:
d is answer have a great day
If a decimal is only in the ____, you can move it up into the quotient
Answer:
Divident
Step-by-step explanation:
Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.
Answer: 306 inches or 25.5 feet or 8.5 yards.
Step-by-step explanation:
Given: Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon.
1 feet = 12 inches
length of ribbon Tino has = 12 x 7.5 = 90 inches
1 yard = 36 inches
length of ribbon Baxter has = 3.5 x 36 = 126 inches
Total ribbon they have = (length of ribbon Carol has) + (length of ribbon Tino has) + (length of ribbon Baxter has)
= (90+90+126) inches
= 306 inches
In feet , Total ribbon = [tex]\dfrac{306}{12}\text{ feet}[/tex] [tex][\text{ 1 inch}=\dfrac{1}{12}\text{ feet}][/tex]
[tex]=\text{25.5 feet}[/tex]
In yards, Total ribbon =[tex]\dfrac{25.5}{3}\text{ yards}[/tex] [tex][\text{1 feet}=\dfrac{1}{3}\text{ yard}][/tex]
[tex]=\text{ 8.5 yards}[/tex]
Hence, the total length of ribbon the three friends have is 306 inches or 25.5 feet or 8.5 yards.
The container that holds the water for the football team is 1/5 full. After pouring in 7 gallons of water, it is 7/10 full. How many gallons can the container hold?
A recipe used 2/3 cup of sugar for every 2 teaspons of vanilla. How much sugar was used per teaspoon of vanilla?
Answer:
1/3 cups of vanilla per teaspoon
Step-by-step explanation:
Six ice cream cones cost $16.50. At this rate, how much do 2 ice cream cones cost?
Answer:
$5.50
Step-by-step explanation:
One icecream cone costs $2.75, so two would cost $5.50.
Answer:
$5.5
Step-by-step explanation:
--Use division
16.50 ÷ 6 = 2.75
--Then multiplication
2.75 x 2 = 5.5
It costs $5.5 to buy 2 ice cream cones.
Suppose you want to save in order to purchase a new boat. Take the APR to be 6.0%.
You want to have $15,000 toward the purchase of a boat in three years. How much do you need to deposit each month? (Round your answer to the nearest cent.)
Answer:
Amount deposit each month = $365.26
Step-by-step explanation:
Given:
Amount deposit = $15,000
Rate = 6% = 6% / 12 = 0.005
Number of time = 3 x 12 = 36
Find:
Amount deposit each month
Computation:
Amount deposit each month = [(15,000) x 0.005]/[(1.005){(1.005)³⁶-1}]
Amount deposit each month = $365.26
The amount needed to be deposited each month is;
P ≈ $393.23
We are given;
APR = 6% = 0.06
Total accumulated amount; A = $15000
number of years; n = 3 years
To calculate the amount needed to be deposited each month, we will use the formula;
A = [P(1 + APR/12)¹²ⁿ - 1)] ÷ (APR/12)
Plugging in the relevant values gives;
15000 = [P(1 + (0.06/12))⁽¹²*³⁾ - 1] ÷ (0.06/12)
Rearrange to get;
[P(1 + (0.06/12))³⁶ - 1] = 15000 × 0.06/12
⇒ [P(1 + 0.005)³⁶ - 1] = 75
⇒ P(0.19073) = 75
⇒ P = 75/0.19073
⇒ P ≈ $393.23
Read more at; https://brainly.com/question/12571149
The area of a circular wave expands across a still pond such that its radius increases by 14 cm each second. Write a formula for the area A of the circle as a function of time t since the wave begins: A=
Answer:
A = π(14t)²
Step-by-step explanation:
The radius is increasing at the rate of 14 cm per second.
We need to find the formula for the area A of the circle as the function of time t.
Initial area of the circle,
A = πr², where r is the radius of the circle
Area as a function of t will be :
A = π(14t)²
Here, 14t is the radius of the wave.
We want to get the area function given that we know how the radius increases with time.
The function is:
A(t) = (615.44 cm^2)*t^2
Here we know that the radius of a circular wave increases by 14cm each second.
Then we can write the radius as a function of time as:
r(t) = 14cm*t
where t is the time, in seconds, since the wave begins.
Now, remember that the area of a circle of radius r is given by:
A = pi*r^2
where pi = 3.14
Replacing r by the radius function, we get:
A(t) = 3.14*(14cm*t)^2 = (615.44 cm^2)*t^2
This is the area function we wanted to get.
if you want to learn more, you can read:
https://brainly.com/question/22964077
Arrange the numbers in order from least to greatest.
1/2, -5,
0.56,
0,
12%
Least to greatest
Answer:
-5,0,0.56,12%,1/2
Step-by-step explanation:
plz help it's due in 10 min
Which is the most accurate statement about the sign of the product of a positive integer and a negative integer? 1.It is positive.
2.It is negative.
3.It depends on the sign of the first of the two numbers.
4.It cannot be predicted without knowing the integers.
Answer:
3
Step-by-step explanation:
what is 882992+2899992237×2222÷29727
Answer:
217648314.791
Step-by-step explanation:
Answer:
217648314.791
Step-by-step explanation:
Multiply first and then divide and then you add the numbers together.
Find the exact value of tan^-1(1)
A. Pi/4
B. 7pi/4
C. 5pi/4
D. 3pi/4
Help! Thank you in advance!
Answer:
option 3
both (3, 2) and (2, -1) are solutions
Answer:
C
Step-by-step explanation:
-3x + y = -7
use (3, 2) as plug ins for x and y
-3x + y = -7 (rewrite)
-3 x 3 + 2 = -7 (solve)
-3 x 3 = -9
-9 + 2 = -7
same with the other numbers (2, -1)
but i'm lazy
both the domain and range of the graph shown above is all real numbers.
true or false
12
A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown
below where x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-
intercept
y=1.772-334
A. There were approacimately 334 eagle breeding pairs in 1986.
B. There were approximately 1.772 eagle breeding pairs in 1986.
c. There were approximately 1.772 additional eagle breeding pairs each year after 1986.
D. There were approximately 334 additional eagle breeding pairs each year after 1986
Complete question :
A study was done to investigate the population of bald eagle breeding pairs over time. The correlating regression model is shown
below, wiere x represents the number of years after 1986, and y represents the number of bald eagle breeding pairs. Interpret the y-
intercept
y = 1.772 +334x
Answer:
B. There were approximately 1.772 eagle breeding pairs in 1986
Step-by-step explanation:
Given the regression equation : y = 1.772 +334x
Recall the general form of a linear regression equation :
y = mx + c
y = predicted variable ; x = predictor Variable ; c = intercept ; m = slope
x = number of years after 1986 ; y = number of bald eagle pairs.
The intercept is a constant value at time t = 0
For x to be 0, on a graph, this this the value on the y axis where the regression line crosses the y - axis. That is in 1986; the number of y when in 1986 when x = 0 is 1.772
(PLZ help)
Which of the following expressions represents the value, in dollars, of a certain number of dimes, d, and pennies, p?
0.01d + 0.10p
0.10d + 0.01p
0.11dp
0.11d + p
Answer: The answer should be 0.10d + 0.01p
Step-by-step explanation: please give brainliest :)
Write an equation for the line in slope-intercept form, Passing through the point (1,-6) and (-1,0)
y =
Solve
Show full work
Answer:
y=3x+3
Step-by-step explanation:
y=mx+b is slope intercept form
to find the slope(m) you need to plug your numbers into the equation y(2)-y(1)/x(2)-x(1)
which means subtract the Y's together and the X's together and put the quotient of the Y's on top. Note that you have to choose a set of number to be the first group and the other set as the second group
so (0-6)/(-1-1) = -6/-2 = 3
3 will be your slope. plug that and a set of your numbers into the slope intercept equation
0=3(-1)+b
0=-3+b
3=b
y=3x+3
The value of 8 in 5.18 is
of the value of 8 in 5.81.
Answer: This is false.
Step-by-step explanation:
The value of 8 in 5.18 is 8 Hundredths, the value of 8 in 5.81 is 8 Tenths.
0.2 4/15 0.21 1/4 in least to greatest
Answer:
0.2, 0.21, 0.25 (1/4), 0.2666666 (4/15)
Step-by-step explanation:
2. What is the difference if 0.915 is taken from 2.31?
A. 1.395
B. 3.225
C. 2.395
D.4.126