Answer:
x = 10; y = 6
Step-by-step explanation:
Let's list the factors of 60 because the product of those numbers is 60.
⇒ Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60The following possibilities of x and y are possible using (x × y = 60):
60 and 1 ⇒ x = 60; y = 1 ⇒ 60 × 1 = 6030 and 2 ⇒ x = 30; y = 2 ⇒ 30 × 2 = 6020 and 3 ⇒ x = 20; y = 3 ⇒ 20 × 3 = 6015 and 4 ⇒ x = 15; y = 4 ⇒ 15 × 4 = 6012 and 5 ⇒ x = 12; y = 5 ⇒ 12 × 5 = 6010 and 6 ⇒ x = 10; y = 6 ⇒ 10 × 6 = 60Let's check each possibilities using the equation (x - y = 4):
60 and 1 ⇒ 60 - 1 = 59 ≠ 430 and 2 ⇒ 30 - 2 = 28 ≠ 420 and 3 ⇒ 20 - 3 = 17 ≠ 415 and 4 ⇒ 15 - 4 = 11 ≠ 412 and 5 ⇒ 12 - 5 = 7 ≠ 410 and 6 ⇒ 10 - 6 = 4 = 4 (Correct)Thus, the values of x and y are 10 and 6 respectively.
help please! it’s Geometry
The school cafeteria sells several types of pies at lunch. Last week it sold 12 apple pies, 19 pumpkin pies, and 30 blueberry pies.Which of the following would increase the range of the total number of pies sold?
a) Sell 2 fewer apple pies b) Sell 2 more pumpkin pies
c) Sell 2 fewer blueberry pies d) Sell 2 more apple pies
Answer:
d)sell 2 more apple pies
Step-by-step explanation:
increasing 12 apple pies sold to 14 sold would increase the range.
Hello people ~
factorise : 3x² + 10x + 8
Answer:
(x + 2)(3x + 4)
Step-by-step explanation:
3x² + 10x + 8
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 8 = 24 and sum = + 10
the factors are + 6 and + 4
use these factors to split the x- term
3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )
= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term
= (x + 2)(3x + 4) ← in factored form
[tex]\\ \rm\Rrightarrow 3x^2+10x+8[/tex]
[tex]\\ \rm\Rrightarrow 3x^2+6x+4x+8[/tex]
[tex]\\ \rm\Rrightarrow 3x(x+2)+4(x+2)[/tex]
[tex]\\ \rm\Rrightarrow (3x+4)(x+2)[/tex]
Done!
А jeremiah is starting a running plan to train for a race. in the first week of his running plan, jeremiah will run 6 miles. the plan calls for jeremiah to increase his weekly milage by 2 miles every week. if jeremiah sticks to the plan, how many miles would he be expected to run during his 8th week of the training plan?
At the 8th week Jeremiah will be running 24 miles to train for a race.
Word ProblemGiven Data
Starting distance = 6 milesWeekly increment = 2 milesThe rule for finding the mile for the 8th week is
Mile (n) = 6+2(n)
hence for n = 8
Mile (8) = 6+2(8)
Mile (8) = 6+16
Mile (8) = 24 miles
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How much should be invested at 7% compounded daily for 15 years to make $200,000?
The amount of money that should be invested at 7% compounded daily is $199,421.68.
How to calculate compound interest.Mathematically, compound interest is given by this formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where:
A is the future value.P is the principal.R is the interest rate.T is the time measured in years.n is the number of times compounded.Given the following data:
Future value = $200,000.
Interest rate = 7% = 0.07.
Time = 15 year.
Substituting the given parameters into the formula, we have;
[tex]200000=P(1+\frac{0.07}{365} )^{ 15}\\\\200000=P(1+0.00019)^{15}\\\\200000=P(1.00019)^{15}\\\\200000=1.0029P\\\\P=\frac{200000}{1.0029}[/tex]
P = $199,421.68.
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Need help ASAP! WILL GIVE BRAINLIEST!
Answer:
see explanation
Step-by-step explanation:
45,612 × [tex]\frac{1}{2}[/tex] = 22,806
Thus Beth sold half the number of books that Rodney sold
(4)
[tex]\frac{1}{2}[/tex] × 2,175 = 1,087.5 < 2,175
Find the area of the figure. Round your answer to nearest tenth. Use the 7t button on your calculator.
14.Scm
688.1 cm?
46,5 cm?
b
Ос
219,0 cm
693.0 cm?
в е авт
A
Answer:
688.1 cm
Step-by-step explanation:
Area of circle = (π)r^2
Area= π × 14.8^2
Area = 688.1 cm^2 (to the nearest tenth)
Which two expressions are equivalent?
29
А
x + x + x and x3
B
14x + 10 - 2x and 16x + 10
C
12x + 16x and 4(3x + 4x)
D
12x2 + 5x + 10 and 17x2 + 10
Answer:
[tex]12x+16x~ \text{and}~ 4(3x+4x)[/tex]
Step-by-step explanation:
[tex]4(3x+4x) =4\cdot 3x +4\cdot 4x= 12x + 16x[/tex]
please help me and thank you :))))
Answer:
96
Step-by-step explanation:
Answer:
the answer of this question
is 96
How do you find the sector area of a circle?
Answer:
where's question.....
A bag contains 6 yellow cubes, 14 red cubes, and 2 blue cubes. Determine whether the following event is impossible, unlikely, as likely as not, likely, or certain.
A red cube is randomly drawn from the bag.
i would be as likely to happen because there are more red cubes then any other cubes.
please help :)))))))
Answer:
Step-by-step explanation:
10) 192
11) 58
12 120
Which I’m guessing they want the angle that has those ??
Answer:
10: Reflex
11. Acute
12. Obtuse
Step-by-step explanation:
Reflex: Greater than 180 but less than 360
Acute: Less than 90
Obtuse: Greater than 90 and less than 180
Answer:
I believe they want what it looks like, so i have gone ahead and drew those below: its not the best but i tried.
Step-by-step explanation:
Jessica has $40 to spend at the book fair. She buys 2 notebooks for $3 8. each and wants to spend the rest of her money on books. How many books can Jessica buy if each book costs $8? How much money does Jessica have left over?
Answer:
She can buy 4 books
Step-by-step explanation:
If each notebook is $3, and she bought two, she'd be left with $32 because 40-6=32. Simply multiply 8 by 4 to get 32, which is the rest of her money. Hope this helps!
A movie star's agent earns 11% of the star's monthly income. If the star's monthly income is $81,400 , how much will the agent earn?
The movie star's agent given the star's monthly income and the percentage the agent earns is $8,954.
How much will the agent earn?Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency.
Agent's earnings = 11% x $81,400 =$8,954
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Mark chose two cards randomly from a deck. What is the probabity of getting an Ace or King?
Answer:
50/50
Step-by-step explanation:
Answer:
depends on how many there are in a deck. But going from the usual, it would be 2/52
Step-by-step explanation:
(52 is how many cards there are, if theres a different amount then change it to that)
HELP PLEASE!!!
What is the slope of the line that is perpendicular to the line -12x = 35 - 5y?
Answer:
y = 12/5 = x + 7
hope this helped
lol
A set of cubes, each with sides 1 cm long, is stacked 5 cubes high, 8 cubes deep and 7 cubes long.
How many cubes are in the set?
Answer:
280 Cubes
Explanation:
This problem has to do with volume. To find the number of cubes in the set, you multiply the length, width, and height of all the cubes. This would look like 7*8*5. This equals 280 cubes.
The table displays the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
1
70
6
75
2
80
9
85
3
90
1
95
6
100
8
Answer:
85.3
Step-by-step explanation:
The Total number of students = 36. Add all the values but don't forget how much of that value there is. so for the score of 70, you would multiply that by 6 because that's how much students got it.
Two friends are biking. Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour The table shows the mile marker Shayla reaches after biking x hours. What is the difference in the initial values of the functions? Record your answer on the grid. Then fill in the bubbles.
The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.
What is speed?Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Greta starts at mile marker S on a bike trail and is biking at a speed of 12 miles per hour. If she biked for x hours:
Distance covered = 12 mph * x = 12x miles
The distance covered by Greta after biking at a speed of 12 miles per hour for x hours is 12x miles.
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Find the area of the parallelogram
Answer:
A = 3484 ft²
Step-by-step explanation:
Area of a parallelogram is given by the formula:
A = bh (where b is the base length and h is the vertical height)
Substituting values given in the diagram gives us:
A = 67×52
A = 3484
Units will be ft² since it is area.
So our final answer is 3484 ft²
Brainliest if this helped and I hope you find the rest of your homework or task easy.
Where is the first error made in the proof?
Answer: Step 4
Step-by-step explanation:
There is no equation to substitute into, the reason should be 'Pythagorean theorem'.
On 1, I need help, and for 2, is the answer right?
Answer:
1.A 2.yes
Step-by-step explanation:
PEMDAS
I need help giving crown
Answer:
The car is moved accross the y axis, then is moved down under the x axis. :)
Have an amazing day!!
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need answer please (distributive law) grade 9 mathematics
Answer:
SEE ABOVE ATTACHMENT. MARK AS BRAINLIASTAnswer:
[tex]7 {x}^{2} + 19x - 8 \\[/tex]
Step-by-step explanation:
[tex]2(3 {x }^{2} + 8x - 4) + x(x + 3) \\ 6 {x}^{2} + 16x - 8 + {x}^{2} + 3x \\ 6 {x}^{2} + {x}^{2} + 16x + 3x - 8 \\ 7 {x}^{2} + 19x - 8[/tex]
For which values is this undefined (what numbers makes the denominator 0)
Answer:
x = -6 and x = 1
Step-by-step explanation:
For the fraction to be undefined, find the zeros of the polynomial of the denominator.
x² + 5x - 6 = 0x² - x + 6x - 6 = 0x(x - 1) + 6(x - 1) = 0(x + 6)(x - 1) = 0x = -6 and x = 1What polynomial has quotient x2 + 6x – 4 when divided by x + 3?
Answer:
[tex](x^{3} + 9\, x^{2} + 14\, x - 12)[/tex].
Step-by-step explanation:
Let [tex]p(x)[/tex] denote the polynomial in question.
The question states that dividing [tex]p(x)[/tex] by [tex](x + 3)[/tex] gives the quotient [tex](x^{2} + 6\, x - 4)[/tex] (with no remainder.) In other words:
[tex]\displaystyle \frac{p(x)}{x + 3} = x^{2} + 6\, x - 4[/tex].
Multiply both sides by [tex](x + 3)[/tex] to find an expression for the polynomial in question, [tex]p(x)[/tex]:
[tex]p(x) = (x^{2} + 6\, x - 4)\, (x + 3)[/tex].
Expand this expression to obtain:
[tex]\begin{aligned}p(x) &= (x^{2} + 6\, x - 4) \, (x + 3) \\ &= x\, (x^{2} + 6\, x - 4) \\ & \quad + 3\, (x^{2} + 6\, x - 4) \\ &= x^{3} + 6\, x^{2} - 4\, x \\ &\quad + 3\, x^{2} + 18\, x - 12 \\ &= x^{3} + 9\, x^{2} + 14\, x - 12\end{aligned}[/tex].
How many different plates can be made with 2 vowels and a digit?
============================================================
Explanation:
If repeats are allowed, then we have 5 vowels (a,e,i,o,u) for the first vowel slot, and 5 choices for the second vowel slot. We also have 10 choices for the numeric digit (0 through 9).
There are 5*5*10 = 250 ways to make a selection of the form LLN where L stands for "letter" (specifically a vowel) and N stands for "number". An example plate could be AE2.
There are also 250 ways to make a selection of the form LNL and 250 ways to select something of the form NLL.
That means there are 3*250 = 750 ways to make a license plate with two vowels and a digit where repeats are allowed.
What transformation of Figure 1 results in Figure 2?
Select from the drop-down menu to correctly complete the
statement.
Choices- Rotation
Reflection
Translation
HeLp
2x + 3y = 13
4x - y = -2
Answer:
Step-by-step explanation:
Solve the following system:
{3 y + 2 x = -2 | (equation 1)
{-y + 52 x = -2 | (equation 2)
Swap equation 1 with equation 2:
{52 x - y = -2 | (equation 1)
{2 x + 3 y = -2 | (equation 2)
Subtract 1/26 × (equation 1) from equation 2:
{52 x - y = -2 | (equation 1)
{0 x + (79 y)/26 = -25/13 | (equation 2)
Multiply equation 2 by 26:
{52 x - y = -2 | (equation 1)
{0 x + 79 y = -50 | (equation 2)
Divide equation 2 by 79:
{52 x - y = -2 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Add equation 2 to equation 1:
{52 x + 0 y = -208/79 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Divide equation 1 by 52:
{x + 0 y = -4/79 | (equation 1)
{0 x + y = -50/79 | (equation 2)
Collect results:
Answer: {x = -4/79, y=-50/79