Answer:
[tex]m=\frac{7}{4}[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
(9, 4)
(5, -3)
Step 2: Find slope m
Substitute: [tex]m=\frac{-3-4}{5-9}[/tex]Subtract: [tex]m=\frac{-7}{-4}[/tex]Simplify: [tex]m=\frac{7}{4}[/tex]the process of finding factors
The school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft
Dimensions: 2 1/4 and 3 3/16
Using the dimensions indicated on the drawing, what is the total area of the new room?
Answer:
the total are is 459
Step-by-step explanation:
3 3/16 divided by 1/8 = 25 1/2 or 25.5
2 1/4 divided by 1/8 = 18
so 18 x 25.5 = 459
hope this helps
The total area of the new room is 459.
What is the scale factor?The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.
WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft
Dimensions: 2 1/4 and 3 3/16
Therefore,
3 3/16 divided by 1/8 = 51/2 or 25.5
2 1/4 divided by 1/8 = 18
Thus we have the area
= 18 x 25.5
Area = 459
The total area of the new room is 459.
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find the sum of the interior angle measures of the polygon
Work Shown:
We have 9 sides of this polygon. See the diagram below. So n = 9
Plug that into the formula below to find the sum of the interior angles
S = 180(n-2)
S = 180(9-2)
S = 180*7
S = 1260
Clare ran 4 miles on Monday. Then for the next six days, she ran the same distance each day. She ran a total of 22 miles during the week. Which tape diagram represents this situation?
Answer:
In a week we have 7 days.
On the first day, Clare runs 4 miles.
On the other six days, she runs the same distance, let's call it D.
In total, she runs 22 miles.
Then:
4mi + 6*D = 22 mi
6*D = 22mi - 4mi = 18mi
D = 18mi/6 = 3mi.
Then the other 6 days, Clare runs 3 miles, then the tape diagram would look something like:
[tex]\left[\begin{array}{cccccc}Monday&-&-&-&-\\Tuesday&-&-&-\\Wednesday&-&-&-\\Thursday&-&-&-\\Friday&-&-&-\\Saturday&-&-&-\\Sunday&-&-&-\end{array}\right][/tex]
Where each "-" represents one mile.
Answer:
3 miles
Step-by-step explanation:
Pythagoras was born about 582 BC. Isaac Newton was born in 1643
AD. How many years apart were they born.?
Answer:
2225
Step-by-step explanation:
1643 A.D. years plus 582 B.C. years in between the births
Can anyone help me find parallel segments in this diagram ? It doesn’t matter if it’s just a few or 2
Answer:
A-F parallel to B-D
B-A parallel to D-F
B-F parallel to C-E
Step-by-step explanation:
Line segment A-F is parallel to B-D
Line segment B-A is parallel to D-F
Line segment B-F is parallel to C-E
Which values, in order, will complete the table
Answer:
A or -1/2, -rad2/2, -rad3/2
Step-by-step explanation:
Right on edge
Answer:
A
Step-by-step explanation:
correct on edge 202222222
Convert 86 to base 5.
Answer:
321
Step-by-step explanation:
Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.
How to convert any number into base 10?To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.
After it, we need to add it. It will give us a number of the 10 bases.
Conversion of any 10 base number into base 5
To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.
Converting 86 to base 10
⇒ 8ₓ10¹ +8ₓ[tex]10^0[/tex]
⇒ 86₁₀
Converting 86₁₀ into 86₅
When the number 86 is converted in a base of 5 will be (321)₅
Since we need to go down to up to 321₅ will be the correct answer.
For more information about decimal to base 5
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Rachel and Hugo sorted 236 crayons into boxes for a local arts project. Each boz had 10 crayons. How many crayons were left over?
Please help me with this. If you show your work I will give brainliest if there are 2 answers
Work Shown:
450 calories = 20 ounces
450/20 calories = 20/20 ounces ..... divide both sides by 20
22.5 calories = 1 ounce
This smoothie has 22.5 calories per ounce.
Please Help me with this
Answer:
16X^2 - 8x
Step-by-step explanation:
A = L x W
L = x + 5 + 3x + 4x - 9 = 8x - 4
W = 2x
(8x - 4) (2x) = 16x^2 - 8x
Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg
Answer:
Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :
144/2.2
=65.45
=70 kg
57.8 divided by 81, estimate quotient
Answer:
0.71358024691 But really you can say .7
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
Answer:
The correct option is a. Amy’s balance would be greater than Hank’s in the end.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?
a. Amy’s balance would be greater than Hank’s in the end.
b. Amy’s balance is $5,142 and Hank’s balance is $3,207.
c. Hank’s balance would be greater than Amy’s in the end.
d. The investment and balance would be the same.
e. None of these are true
The explanation to the answer is now given as follows:
The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = M * (((1 + r)^n - 1) / r) ................................. (1)
Where;
For Amy:
FV = Future value or balance in the end = ?
M = Monthly investment = $500
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 40 years * 12 months = 480
Substituting the values into equation (1), we have:
FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)
FV = $500 * 1,991.49
FV = $995,745.37
Therefore, Amy’s balance would be $995,745.37 in the end.
For Hank:
FV = Future value or balance in the end = ?
M = Monthly investment = $1,000
r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005
n = number of months the investment will be made = 20 years * 12 months = 240
Substituting the values into equation (1), we have:
FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)
FV = $1,000 * 462.04
FV = $462,040.90
Therefore, Hank’s balance would be $462,040.90 in the end.
Conclusion
Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.
I need answers for both! plz help
Lealani has 24 scoops of high-fiber chimp food.
a. How many scoops of high-protein food should Lealani add to the mix if she wants to give it to baby chimps? Recall that baby chimps need 40% high-fiber food and 60% high-protein food.
b. How many scoops of high-protein food should Lealani add to the mix if she wants to give it to adult chimps? Recall that adult chimps need 60% high-fiber food and 40% high-protein food.
Answer: a = 14.4 scoops; b = 9.6 scoops
Step-by-step explanation:
a.) 40% of the high fiber scoops is 9.6. We need to figure out how much of the high protein she needs, so we would subtract the 9.6 from 24 and get 14.4.
b.) Solved the same as the first problem but with different numbers. 60% of her high fiber food is 14.4, so subtract that from 24 and you get 9.6.
Hope this helps! :) Sorry if I made a mistake
Which inequality is represented by this graph?
5+
(0,1)
(3,0)
A. ys-3x+1
B. y>-*x+1
C. 72-3x+1
D. y< -1x+1
The inequality is represented by the given graph is y ≤ -x/3+1.
The correct option is B.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
We have,
A graph of an inequality, passing by (0, 1) and (3, 0).
A and D are eliminated since the line is solid.
C is disregarded because the line is shaded below as well.
Then, the inequality will be y ≤ -x/3+1
Hence, the inequality is represented by the given graph is y ≤ -x/3+1.
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Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?
Answer:
Whats a kayak?
Step-by-step explanation:
#7 Write an equation in slope-intercept form to represent the line perpendicular to 3x + 2y = -7 passing through the point (1, 1). O y=-3x + 4 O y = -3/2x + 1/3 y = 2/3x + 1/3 O y = 3x + 1
Answer:
y = 2/3 x + 1/3
Step-by-step explanation:
First find the slope of the given line by solving for "y":
3 x + 2 y = -7
2 y = - 3 x - 7
y = - 3/2 x - 7/2
which shows a slope of "- (3/2)"
Then, the slope of a line perpendicular to it must be "the opposite of the reciprocal" of this slope, that is: "2/3"
We use this info and the requested point (1, 1) to find the complete equation of the perpendicular line:
y = 2/3 x + b
1 = 2/3 (1) + b
1 - 2/3 = b
b = 1/3
Then the equation of the line is:
y = 2/3 x + 1/3
which agrees with the third answer shown in the list of options.
Graph a line with a slope of 4 that contains the point (3,0).
Hi there!
Recall that slope-intercept form is:
y = mx + b
Where m = slope
In this instance, we are given a slope of 4, therefore:
y = 4x + b
Substitute in the x and y coordinates of the point given:
0 = 4(3) + b
0 = 12 + b
Subtract 12 from both sides:
-12 = b
Therefore, the equation would be:
y = 4x - 12
Graph the equation by finding x and y values or using a calculator:
x = 0, y = 4(0) - 12 = 12 (0, 12)
x = 1, y = 4(1) - 12 = -8 (1, -8)
x = 2, y = 4(2) - 12 = -4 (2, -4)
x = 3, y = 4(3) - 12 = 0 (3, 0)
And so forth:
To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.
Since, equation of a line passing through a point (h, k) and slope 'm' is given by,
y - k = m(x - h)
Therefore, equation of a line passing through (3, 0) and slope 4 will be,
y - 0 = 4(x - 3)
y = 4x - 12
For y-intercept put x = 0 in the equation,
y = 4(0) - 12
y = -12
For x-intercept put y = 0 in the equation,
0 = 4x - 12
x = 3
Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).
By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.
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hannah and jayna have disponsable camreas. The table and desprition shiw the number of shots left on thier cameras as a function of time.
Answer:
Okay, so what is the question?
Answer:
Tornado: clouds, strong wind, rain, hail.
Hurricane or cyclone: strong wind, heavy rain.
Blizzard: heavy snow, ice, cold temperatures.
Dust storm: strong winds, arid conditions.
Flood: heavy rainfall.
Hail storm: cold or warm temperatures, rain, ice.
Ice storm: freezing rain.Step-by-step explanation:
How long will it take an investment to double in value if the interest rate is 6% compounded continuously
Answer:
11.55 years
Step-by-step explanation:
Formula to calculate the final value when the money is compounded continuously is,
Final value = [tex]\text{(Present value)}.e^{rt}[/tex]
Here 'r' = rate of interest
t = duration for the investment
Let the money invested = $x
We have to find the duration in which the present value gets doubled.
Final value = $2x
Rate of interest = 6% per year ≈ 0.06
By substituting these values in the formula,
[tex]2x=x.e^{0.06t}[/tex]
[tex]2=e^{0.06t}[/tex]
ln(2) = [tex]\text{ln}e^{0.06t}[/tex]
0.693147 = 0.06t
t = 11.55 years
Therefore, invested amount will be doubled in 11.55 years.
Solve -3(5x-9) please
Answer:
12
Step-by-step explanation:
Turner took a total of 8 quizzes over the course of 4 weeks. How many weeks of school will Turner have to attend this quarter before he will have taken a total of 16 quizzes? Assume the relationship is directly proportional. plz just put the answer
Answer:
8 wks
Step-by-step explanation:
It's 8 weeks
It's literally 8 weeks
Need help desperately, I dont want to fail. please answer
Find the quotient of 60:5
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
60:5 = 60/5. 60/5=12
Which property justifies drew first step ?
A.commutative property of multiplication
B.associative property of addition
C. subtraction property of equality
D. distributive property of multiplication over addition
I NEED HELP PLEASE HELP ME
Answer:
Step-by-step explanation:
the rock has changed color due to weathering.
just by looking at it, you cant tell for sure making it an inference.
Answer:
4. the rock has changed colour due to weathering
Step-by-step explanation:
the rock's colour has changed as a result of interference
round 803 to the nearest ten. Enter your answer in the box below.
Answer:
800
Step-by-step explanation:
Answer:
Hey buddy, here is your answer. Hope it helps you
Step-by-step explanation:
It will round off to 800 as it is below 5. Above 5 it will round off to 810.
Use the figure to find the measure of
the angle. Explain your reasoning.
1. ∠4
2. ∠5
3. ∠8
4. ∠6
Answer:
1. ∠4 = 152°
2. ∠5 = 152°
3. ∠8 = 152°
4. ∠6 = 28°
Step-by-step explanation:
1. ∠4 and 152° are vertical angles. Therefore, m∠4 = 152°.
2. ∠5 and 152° are corresponding angles. Therefore, m∠5 = 152°
3. ∠8 and 152° are alternate exterior angles, therefore, m∠8 = 152°
4. ∠6 and <8 are a linear pair. Therefore,
m∠6 + m∠8 = 180°
m∠6 = 180° - m∠8
m∠6 = 180° - 152°
m∠6 = 28°
Can you help with the 2 that are not correct?
Answer:
MPO=MNO
NPO=MNP
Step-by-step explanation:
MPO=MNO because MPO opposite angles of a parallelogram are congruent.
MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.
NPO=MNP because they are alternate interior angles. (If you don't understand what that means I can come back and explain it)