Answer: 10 eggs
Step-by-step explanation:
you need to divide 40 by 16 then you multiply that by 4 and you get 10.
What is the slope of a line that is perpendicular to 5 x – 2 y = 1 ?
Answer:
The slope is 5/2
HELP ME IF YOU KNOW ;((
Answer:
1.5
Step-by-step explanation:
Your answer is 1.5 have a good day
The verticles of triangle A are (-1,3) B (7,9) and C (15,-3) Find the coordinates of the intersection of the medians.
please help
Step-by-step explanation:
Coordinates of A≡(−1,3)
Coordinates of B≡(7,9)
Coordinates of C≡(15,-3)
The median through the vertex C will meet at the mid point of AB.
Coordinate of mid-point on AB=[(-1+7)/2 , (3+9)/2]= (3,6)
Now,
Length of median through vertex C= Distance between (15,-3) and (3,6)
Therefore,
Length of median = √(3-15)²+(6-(-3))²=√144+81=15unit
Hence the length of median through the vertx C is 15 units.
A power function with form y = ax passes through the points (2,
5
and 3,
81
Find the constants a
and pa=
p=
Answer: a = 47.3;
p = 0.65
Step-by-step explanation: A power function is of the form [tex]y=ax^{p}[/tex] and passes through points (2,5) and (3,81), i.e.:
[tex]5=a.2^{p}[/tex]
[tex]81=a.3^{p}[/tex]
To determine the two unknows, solve the system of equations:
[tex]log5=log(a.2^{p})[/tex]
[tex]log81=log(a.3^{p})[/tex]
Using multiplication and power rules:
[tex]log5=loga+plog2[/tex]
[tex]log81=loga+plog3[/tex]
Giving values to constants:
0.7=loga+0.3p
2=loga+0.5p
This system of equations can be solved by subtracting each other:
[tex]-1.3=-0.2p[/tex]
p = 0.65
Substituting p into one of the equations above:
[tex]loga+0.5(0.65)=2[/tex]
[tex]loga=1.675[/tex]
[tex]a=10^{1.675}[/tex]
a = 47.3
The constants a and p of the power function which passes through points (2,5) and (3,81) are 47.3 and 0.65, respectively.
Combine like terms to simplify: H + g + h + g - g
Answer:
2h + g
Step-by-step explanation:
Write the equation of the line fully simplified slope-intercept form.
Answer:
y = 1/3x - 1
Step-by-step explanation:
03,
The measures of the angles of a triangle are shown in the figure below. Solve for x.
39°
(7x+16)
Answer: x =
Answer:
x = 5
Step-by-step explanation:
(7x + 16) = 90 - 39
7x + 16 = 51
7x = 51 - 16 = 35
x = 5
Please help me!!!!!!
1. 88%
2. 20%
3. 65%
4. 4 questions incorrect
5. $75
Joe and Susan are both 40 years old and hope to have enough money saved to retire by the time they're 65. They deposit $6,000 each
year into an account that pays 4% interest compounded annually. Use this information to complete the table.
Formula to Use
Account Balance in 20 years
Total Interest Earned
present value of an annuity
future value of a lump sum
future value of an annuity
$99,875
$112,253
$149,875
$249,875
$286,363
Answer:
Formula: Future value of annuity
In 20 years: $249,875
Total Interest: $99,875
Step-by-step explanation:
Use the formula for future value:
FV =
P = $6,000
r = 0.04
n = 1
t = 25
FV =
FV = $249,875
To find the total interest earned, first find the total value of the deposit payments:
$6,000 annual payments for 25 years = 6,000 • 25
= $150,000
(I copied that explanation from somewhere else so its a little messed up. I just couldn't explain it properly. Hope this helps!)
Account balance In 20 years is $249,875 and total interest earned is $99,875.
What is the future value?The FV formula assumes a constant rate of growth and a single up-front payment left untouched for the duration of the investment. The FV calculation can be done one of two ways, depending on the type of interest being earned.
We have,
P = $6,000
r = 0.04
n = 1
t = 25
We know the formula for future value
FV= PV [tex](1 + r)^{n}[/tex].
where:
P=Investment amount
R=Interest rate
T=Number of years
According to the question
FV=$6,000×(1+0.04
FV = $249,875
To find the total interest earned, first find the total value of the deposit payments:$6,000 annual payments for 25 years = 6,000 × 25= $150,000
Total interest earned = FV - annually payment for 25 year = $249,875 - $150,000 = $99,875
To learn more about future value from here
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A company has determined that its maximum profit occurs when it sells 10,000units per month. For every 1,000 units more or less than 10,000 units that thecompany sells, its profit decreases by $5,000. Which of the following equationscan be used to find the number of units, q, in thousands, for which the profitdecreases $35,000 from the maximum?
A. 10 |q−35| =5
B. 5 |q−10| =35
C. 35 |q−10| =5
D. 5 |q−35| =10
Answer:
B. 5 |q−10| =35
Step-by-step explanation:
Solution:
let's try to understand the problem clearly.
In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.
We know that, for 10000 units = company will get maximum profit.
Any value less than or greater than 10000 units will decrease the profit.
and we also know that,
For every 1000 units profit is decreased by $5000.
So if maximum profit is at 10000 units,
Then at 9000 units = it will have profit decreased by 5000 from the maximum
if q = 11000 then profit = Maximum - 5000
But we are asked to calculate the profit decrease of $35000 from the maximum.
it means we need 5000 decreased by 7 times = 10000 + 7000 = 17000 units
So, if company produces 17000 units,
profit will be decreased by 5(7000) = 35000
Finally,
B. is the only equation which satisfies this condition.
B. 5 (q-10) = 35
(q-10) = 7
q = 10 + 7 = 17
q = 17000 units
Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.
The measures of the angles of a triangle are shown in the figure below. Solve for x. 72° 64° (4x+20)°
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The sum of angles in a triangle is 180°.
72 +64 +(4x +20) = 180
4x = 24 . . . . . subtract 156
x = 6 . . . . . . . divide by 4
Rosie sells her laptop to John and makes a 15% profit. John then sells the laptop to
Michael for £391. John makes a 15% loss. How much did John pay for the laptop?
Answer:
John pay:449.65
Step-by-step explanation:
(391×15)÷100=58,65
391+58,65=449,65
may run 6 miles in 54 minutes how long will it take her to run 10 miles
Answer:
It would take her 90 minutes to run 10 miles.
Step-by-step explanation:
First you should divide 54 by 6 and you'll get 9. So it takes her 9 minutes to run 10 miles (which is physically impossible). You multiply 9 times 10 and get 90.
please help asap!! no trolls
Answer:
Cannot prove as congruent
Step-by-step explanation:
AAA cannot be used to prove whether a triangle is congruent. Only SSS, SAS, ASA, and AAS can be used.
If the slope is 3 what does it represent using this table
Answer:
The table represents a linear function.
The graph of linear function y = 3x is attached below.
Step-by-step explanation:
Given the table
Number of Hours 1 3 5
Number of Tents 3 9 15
Given that the slope is 3.
Finding the slope between (1, 3) and (3, 9)
Slope = (y₂-y₁) / (x₂-x₁)
= [9-3] / [3-1]
= 6 / 2
= 3
Finding the slope between (3, 9) and (5, 15)
Slope = (y₂-y₁) / (x₂-x₁)
= [15-9] / [5-3]
= 6 / 2
= 3
As the value of slope remains constant i.e. slope = m = 3.
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 3 and the point (1, 3)
[tex]y - 3 = 3 (x-1)[/tex]
[tex]y-3 = 3x-3[/tex]
[tex]y = 3x-3+3[/tex]
[tex]y = 3x[/tex]
Comparing with the slope-intercept form of a linear function of line
y = mx+b where m is the slope and b is the y-intercept
slope = 3 and y-intercept b = 0
Therefore, the table represents a linear function.
The graph of linear function y = 3x is attached below.
What is the correct answer to “2+5*4-8÷⅘=?
Answer:
no it is not c it is b
Step-by-step explanation:
2+(5×4)-(8×5/4)
2+20-40/4
22-10
12
The correct option is B, which is 12.
Given to us:
[tex]2+5\times4-8 \div (\frac{4}{5})[/tex]
To solve such questions, we use BODMAS Rule which helps us decide the order of the operations to solve the mathematical problems.
B - Brackets
O - Order/Power
D - Division
M - Multiplication
A - Addition
S - Subtraction
Therefore, In equation [tex]2+5\times4-8 \div (\frac{4}{5})[/tex] ;
1. solve brackets first,
[tex]2+5\times4-8 \div (0.8)[/tex]
2. solve Division,
[tex]2+5\times4-10[/tex]
3. Solving Multiplication,
[tex]2+20-10[/tex]
4. Solving Addition,
[tex]22-10[/tex]
5. Solving Subtraction,
12.
Hence, the correct option is B, which is 12.
To know more visit:
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5. Evaluate the following expression - 12(-3) + 7
Answer:
43
Step-by-step explanation:
Q8)
Part of a regular polygon is shown below. Each interior angle is 150°. (4
150°
Diagram not
accurately drawn
Calculate the number of sides of the polygon.
Answer:
12 side polygon
Step-by-step explanation:
Interior angle of n side regular polygon: = ((n-2)x180)/n
((n-2)x180)/n = 150
(n-2)x180 = 150n
180n - 360 = 150n
30n = 360
n = 12
check: (12-2)x180/12 = 150
Answer:
The polygon has 12 sides (a dodecagon).
Step-by-step explanation:
Angles in a Regular Polygon
A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures
[tex]\displaystyle \frac{180(n-2)}{n}[/tex]
We are given the interior angle of 150°, thus:
[tex]\displaystyle \frac{180(n-2)}{n}=150[/tex]
Multiplying by n:
[tex]\displaystyle 180(n-2)=150n[/tex]
Operating
[tex]\displaystyle 180n-360=150n[/tex]
Rearranging and simplifying:
[tex]\displaystyle 180n-150n=360[/tex]
[tex]\displaystyle 30n=360[/tex]
[tex]n=360/30=12[/tex]
n = 12
The polygon has 12 sides (a dodecagon).
The perimeter of a rectangle is at most 24 cm. Two opposite sides are both 4 cm long. What are the possible lengths of the other two sides?
Answer:
6 cm
Step-by-step explanation:
24 dived by 4=6
Please help i put max points for u!!
Marley used 7 cups of water to make 4 loaves of French bread. What equation can be used to model the total cups of water needed y for making x loaves of French bread? Write the equation in the forn y = kx. How many cups of water do you need for 6 loaves of French Bread? Express your answer as a fraction in simplest form.
Answer:
Equation: y = [tex]\frac{7}{4}[/tex] x
21/2 cups of water
Step-by-step explanation:
Plug in 7 as y and 4 as x
7 = 4k
Find k
k = 7/4
Then plug k into th equation
y = 7/4 x
For the second part of the question:
Plug in x which is 6 into the bolded equation.
y = (7/4)(6) = 42/4 = 21/2 (simplified form)
21/2 cups of water
Hi guys can you please help me with this test.
A school cafeteria has 30 boxes of Wheaty Squares cereal and 20 boxes of Mighty O's
cereal. Each box has the same number of ounces of cereal. Write an expression to
represent the total ounces of cereal. Then simplify it to create an equivalent expression.
Answer:
50e=t
Step-by-step explanation:
Wheaty Squares = w
Mighty O's = m
ounces in each box = e
total ounces of cereal = t
w+m=30+20=50
Which of the following percentage is the discount for a textbook ,if the original price is $107,00 and the discount $62?a. 42. b. 45.c. 58.d. 7.2
Answer:
Concept: Percentage Change
Original Price: 107At a discount of: 62 Hence 107-62= 45Hence Bwhat number is 10% of 65.9
Answer:6.59
Step-by-step explanation:
Answer:
6.59
if you meant
10% of 65.9 then you answer is 0.659
Which sentence uses correct grammar to describe the situation?
Three boys brought comic books to class. Their teacher has taken all of the books and placed them on her desk.
The boy's comic books are on the teacher's desk.
The boy's comic books are on the teachers' desk.
The boys' comic books are on the teacher's desk.
The boys' comic books are on the teachers' desk.
Question 8(Multiple Choice Worth 5 points)
(MC)
You want to turn each of the following words into an adverb. Which word would require you to add ally instead of ly?
Certain
Comic
Original
Quick
Answer:
The boys' comic books are on the teacher's desk
comically
Step-by-step explanation:
Maggie made the following quilt from 64 square pieces of fabric. 7.52 ft What is the side length of each square piece of fabric? Enter your answer in the box. feet
Answer:
Step-by-step explanation:
Maggie made the following quilt from 64 square pieces of fabric, what is the side length of each square piece
A company has an 875 a employees on half price Wednesday 64% of the employees eat lunch at the company cafeteria how many employees eat lunch at the cafeteria on Wednesday
Answer:
560
Step-by-step explanation:
Matthew weighed 96 ounces at birth. His sister, Adrienne, weighed 7 pounds at birth. Who
weighed more and how many pounds more?
Answer:
A
Step-by-step explanation:
96 ounces = to 6 pounds
7-6=1
In the first week of January, there are 49 dogs and 28 cats in an animal shelter. Throughout the month, the ratio of dogs to cats remains the same. In the last week of January, there are 20 cats in the shelter. How many dogs are there?
Answer:
35 dogs
Step-by-step explanation:
Given
[tex]49\ dogs: 28\ cats[/tex]
Required
Determine the number of dogs for 20 cats
Represent the required number of dogs as a ratio of number of cats
[tex]x : 20\ cats[/tex]
So, we have:
[tex]49\ dogs: 28\ cats[/tex]
[tex]x : 20\ cats[/tex]
Since, the ratio is the same throughout, we have:
[tex]x : 20\ cats[/tex] = [tex]49\ dogs: 28\ cats[/tex]
Convert ratio to fraction
[tex]\frac{x}{20} = \frac{49}{28}[/tex]
[tex]\frac{x}{20} = \frac{7}{4}[/tex]
Multiply through by 20
[tex]x = \frac{7}{4} * 20[/tex]
[tex]x = 7 * 5[/tex]
[tex]x = 35[/tex]
Consider functions h and k
Answer:
D
Step-by-step explanation:
got it correct on EDMENTUM