Answer:
the maximum monthly payment is $958
Step-by-step explanation:
The computation of the maximum monthly payment for affording is shown below;
Let us assume that there is a 34% of the gross monthly income
So, it would be calculated below:
= Given percentage × gross monthly income - payments made - taxes & insurance per month
= 0.34 × $3,500 - $147 -$85
= $958
hence, the maximum monthly payment is $958
18=30-r30 solve for r
Answer:
r =
Step-by-step explanation:
r=30√12,−30√12
Answer:
r=2/5
Step-by-step explanation:
TWO PART QUESTION! 50 POINTS FOR BOTH ANSWERS Usain Bolt set a world record of 9.58 seconds for the 100 meter dash. White-tailed deer can run at 48 kilometers per hour for short periods. We want to compare their speeds, but notice that the given speeds are not using the same units. So, we need to convert the deer's speed from kilometers per hour to meters per second. How many meters per second does the deer run? (Hint: remember that there are 1,000 meters in a kilometer, 60 seconds in a minute, and 60 minutes in an hour.) A) 1.33 m/sec B) 48,000 m/sec C) 800 m/sec D) 13.33 m/sec Usain Bolt set a world record of 9.58 seconds for the 100 meter dash. White-tailed deer can run at 48 kilometers per hour for short periods. If Mr. Bolt and a white-tailed deer run a 100 meter dash at these speeds, who would win, and by how much? (Hint: Be sure to use your answer from #2 to solve this problem. You may want to figure out exactly how long it will take the deer to run 100 meters.) A) Deer wins by 2.08 seconds B) Mr. Bolt wins by 3.75 seconds C) Mr. Bolt wins by 2.08 seconds D) Deer wins by 3.75 seconds
Answer:
Part A) = D) 13.33 m/sec
Part B) = A) Deer wins by 2.08 seconds
Step-by-step explanation:
Part A)
From the question in Part A, we know that, the White-tailed deer can run at 48 kilometers per hour for short periods. We were asked in the question, How many meters per second does the deer run?
The question gave us this (Hint: remember that there are 1,000 meters in a kilometer, 60 seconds in a minute, and 60 minutes in an hour.)
1 km = 1000 meters
48 km = x meters
Cross Multiply
= 1km × x meters = 48km × 1000 meters
x meters = 48km × 1000 meters/1 km
= 48000 meters/ hour
The speed of the dear = 48000 meters/ hour
We have to convert this to meters/ seconds
60seconds = 1 minute
60 minutes = 1 hour
Therefore, the number of seconds in one hour = 60 × 60
= 3600 seconds
Hence 48000meters/hour to meter per Seconds
= 48000meters/3600 seconds
= 13.333333333 meters/seconds
= 13.33m/s
Part B
From Part B Question, we know that Usain Bolt set a world record of 9.58 seconds for the 100 meter dash.
White-tailed deer can run at 48 kilometers per hour for short periods.
If Mr. Bolt and a white-tailed deer run a 100 meter dash at these speeds, who would win, and by how much?
Using our answer in Part A,
We know that the deer runs
48,000 meters in 3600 seconds.
The first step would be to find how many seconds it can run in an 100 meter race
Hence,
48,000 meters = 3600 seconds
100 meters = y seconds
We cross Multiply
48,000 meters × y seconds = 3600 seconds × 100 meters
y seconds = 3600 seconds × 100 meters/ 48,000 meters
y second = 7.5 seconds
This means, the deer can run a 100 meter dash in 7.5 seconds.
From the question, we know that Usain Bolt set the record of 9.58 seconds for an 100 letter dash.
The difference between both times for the Usain Bolt and the Deer = 9.58seconds - 7.5 seconds
= 2.08 seconds
Therefore the winner is the Deer , because it finishes the race is a shorter time of 7.5 seconds and wins by 2.08 seconds. Therefore, Option A) Deer wins by 2.08 seconds is correct
Thanks for the help, question below :)
Hello, please consider the following.
[tex]x^2-6x=-5\\\\\text{We add 5 to both sides of the equation}\\\\x^2-6x+\boxed{5}=-5+\boxed{5}=0\\\\\text{The answer to a) is then c = 5.}\\\\\text{We complete the square by noticing that }\\\\x^2-6x=x^2-2*3*x=(x-3)^2-3^2\\\\\text{So the main equation becomes.}\\\\x^2-6x+5=(x-3)^2-9+5=0\\\\\text{We simplify.}\\\\(x-3)^2-4=0[/tex]
[tex]\text{We add 4 to both sides.}\\\\(x-3)^2=4=2^2\\\\\text{The answer to b) is then}\\\\\boxed{(x-3)^2=4}\\\\\text{We take the root.}\\\\x-3=\pm2\\\\<=> x =3+2=5 \ \ or \ \ x=3-2=1\\\\\text{So the solutions are.}\\\\\Large \boxed{\sf \bf \ \ x=5 \ \ or \ \ x=1 \ \ }[/tex]
Thank you.
Rachel wants to use cottage cheese and yogurt to increase the amount of protein and calcium in her daily diet. An ounce of cottage cheese contains 3 grams of protein and 12 milligrams of calcium. An ounce of yogurt contains 1 gram of protein and 44 milligrams of calcium. How many ounces of cottage cheese and yogurt should Rachel eat each day to provide 57 grams of protein and 840 milligrams of calcium?
Answer:
She needs to eat 5 ounces of cheese and 1 ounce of yogurt
Step-by-step explanation:
Rachel should have 15 ounces of yogurt and 14 ounces of cheese.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: An ounce of cottage cheese contains 3 grams of protein and 12 milligrams of calcium. An ounce of yogurt contains 1 gram of protein and 44 milligrams of calcium. let Rachel have x ounces of cheese and y ounces of yogurt. Then we have the following equations
3x+y=57
0.012x+0.044y=0.84
Solving these two equations we get y=15.3 or 15 ounces (approx)
and x= 13.9 or 14 ounces(approx) respectively.
Hence, Rachel should have 15 ounces of yogurt and 14 ounces of cheese.
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At a butcher shop, bought lb of beef and some pork. Left with lb of meat. Express the number of pounds of pork bought using a decimal. bought nothing lb of pork.
Answer:
15.11 lb
Step-by-step explanation:
At a butcher shop, Hilda bought 4 17/20 lb of Beef and some pork. She left with 19 24/25 lb of meat. Express the number of pounds of pork she bought using a decimal
so Hilda bought ? lb of pork
Beef = 4 17/20 lb
Pork = x lb
Total Meat = 19 24/25 lb
Using decimal to express the pound of pork she bought, convert the pounds of beef and total meat she bought into decimal
Beef = 4 17/20 lb = 4.85 lb
Total Meat = 19 24/25 lb = 19.96 lb
Total meat = Beef + pork
19.96 lb = 4.85 lb + x lb
Subtract 4.85 from both sides
19.96 - 4.85 = 4.85 + x - 4.85
15.11 = x
x= 15.11 lb
Therefore, pounds of pork she bought = 15.11 lb
Find the value of x if B is the midpoint of AC, AB = 2x + 9 and BC = 37.
Answer:
14
Step-by-step explanation:
B is the midpoint of AC, in other words it is the halfway point.
So A to B should be equal to B to C
Our expression is:
2x + 9 = 37
Subtract 9
2x = 28
Divide by 2
x = 14
Hamzah's soccer team is trying to raise $620 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $20 for the breakfast. How many people need to attend their breakfast in order to raise $620?
Answer:
31 people
Step-by-step explanation:
Hamzah soccer team is trying to raise the amount of $620 to travel to a tournament in Florida
The soccer team decide to organise a pancake breakfast
Each person that attends the breakfast must pay $20
Therefore the amount of people needed to attend the breakfast to raise $620 can be calculated as follows
= 620/20
= 31
Hence 31 people need to be in attendance inorder to raise $620
Write an equation and solve: Your math homework has 6 more than three
times the number of problems you have on your history worksheet. If you
have 42 problems to do for math and history, how many math problems do
you have to complete for homework?
Answer: 33 math problems.
Step-by-step explanation:
Let x = Number of math problems
y= Number of history problems
According to the question , we have
[tex]3y+6=x\ \ \ \ \ (i)\\\\ x+y=42\ \ \ \ (ii)[/tex]
We can rewrite (i) as [tex]x-3y=6[/tex] (iii)
Now, subtract (iii) from (ii), we get
[tex]y-(-3y)=42-6\\\\\Rightarrow\ y+3y=36\\\\\Rightarrow\ 4y=36\\\\\Rightarrow\ y= \dfrac{36}{4}\\\\\Rightarrow\ y=9[/tex]
Put this in (i), we get
[tex]x=3(9)+6 = 27+6=33[/tex]
Hence, you have to complete 33 math problems.
The cost to rent a scooter in a busy metropolitan area is $25 plus $0.60 per mile. If Michael spent $43.20 to ride a scooter one day, what is the meaning of .60m in the equation shown here? 25 + 0.60m = 43.20 1:The initial cost before riding the scooter. 2:The total cost per miles. 3: The total cost for the day. 4: None of the above.
Help needed immediately! Please! Need answers!
Answer:
0.60 m is total cost paid per mile
Step-by-step explanation:
Given:
Cost of renting a scooter = $25
Extra cost = $0.60 per mile
Total cost = $43.20
Find:
Meaning of 0.60 m
Computation:
25 + 0.60 m = 43.20
0.60 m = 43.20 - 25
0.60 m = 18.2
m = 30.33 mile
So,
0.60 m is total cost paid per mile
QS bisects angle PQR. If angle PQS=5x and angle RQS=2x+6, then what is angle PQR?
Answer: the answer is 20
Step-by-step explanation:
I had the same question and did my math and got it right
Give two ways to write each algebraic expression in words.
1. 4+n
2. m-9
3. g/2
4. 4z
Answer:
Look at the explanation below ...
Step-by-step explanation:
1. 4 more than n & 4 plus n
2. 9 less than m & m minus 9
3. g over 2 & g divided by 2
4. 4 time z & 4 multiplied by z
The two ways to write each algebraic expression in words are given below:-
1. 4 more than n & 4 plus n
2. 9 less than m & m minus 9
3. g over 2 & g divided by 2
4. 4 time z & 4 multiplied by z
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The two ways to write each algebraic expression in words.
1. 4+n = 4 more than n & 4 plus n
2.m - 9= 9 less than m & m minus 9
3.g / 2 = g over 2 & g divided by 2
4. 4z = 4-time z & 4 multiplied by z
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what is y=4/5x-7 in graph form?
Answer:
Use a graphing calculator.
Step-by-step explanation:
Quadrilateral A has side lengths 2,3,5 and 6. Quadrilateral B has side lengths 4,5, 8 and 10. Could one of the quadrilaterals be a scaled copy of one another
Answer:
No
Step-by-step explanation:
Given
Quadrilateral A: 2,3,5 and 6
Quadrilateral B: 4,5, 8 and 10
Required
Determine if one is a scale of another
To do that, we have to divide the corresponding lengths to give ratio.
Considering Side of A = 2 and Side of B = 4
[tex]Ratio = \frac{B}{A}[/tex]
[tex]Ratio = \frac{4}{2}[/tex]
[tex]Ratio = 2[/tex]
Considering Side of A = 3 and Side of B = 5
[tex]Ratio = \frac{B}{A}[/tex]
[tex]Ratio = \frac{5}{3}[/tex]
[tex]Ratio = 1.67[/tex]
There's no need to check further, since the two ratios calculated so far do not have the same value;
Hence, one quadrilateral is not a scale of the other
My cousin needs help on all the questions. Please help him he is failing math
Answer:
(a) more
(b) less
(c) more
(d) greater
(e) Left to right: Susan, George, Antonio, Maria
Step-by-step explanation:
When a point total is lower, more points are needed to stay in the game.
__
(a) Maria's total is less than -30, so she needs more than 30 to stay in the game. Phone #4 is the only one indicating a need of more than 30, so it is Maria's.
__
(b) Susan's total is greater than -25, so she needs less than 25* to stay in the game. Phone #1 is the only one indicating a need of less than 25, so it is Susan's.
__
(c) George's point total is lower than Susan's, so he needs more points than Susan. Susan's phone indicates she needs 20 points. Since George needs 5 more points, his is phone #2.
__
(d) Antonio needs 15 fewer points than Maria, so his total is more than Maria's total. Maria's phone indicates she needs 45 points, so Antonio only needs 30 points. His is phone #3.
__
(e) Susan needs 20, George needs 25, Antonio needs 30, Maria needs 45.
_____
* If we assume whole numbers of points, a total of "greater than -25" might be a total of -24. To bring the score to a positive value (1), exactly 25 points might be needed. That is, there is some ambiguity in part (b) in that Susan might need less than or equal to 25 points. Susan's phone could be either the first or the second.
The problem is poorly worded. The answer choices above are consistent with the problem statement overall.
A bike has been marked up by 15%. If its original price was $300, what is the selling price?
Answer:
$345
Step-by-step explanation:
Cp= $300
MP= 115%×$300
=$345
what is the answer to 9 + x = −2 for algebra 1?
Answer:
x = -11
Step-by-step explanation:
Answer:
x = -11
Step-by-step explanation:
9+x=−2
Step 1: Simplify both sides of the equation.
x+9=−2
Step 2: Subtract 9 from both sides.
x+9−9=−2−9
x=−11
I need help its a transverse thing I need answer for x and y and could you please explain it
Step-by-step explanation:
Hope ot helps u mate
if there is any problem inbox me
Please help with math
Answer:
24420.5
Step-by-step explanation:
Multiply all the numbers together to get the length of the cubiod
221*8.5*13= 24420.5
Hope this helped!
Answer:
[tex]\Huge \boxed{\mathrm{2 \ cm }}[/tex]
Step-by-step explanation:
[tex]\sf Volume \ of \ cuboid= length \cdot width \cdot height[/tex]
The width is 8.5 cm.
The height is 13 cm.
The volume is 221 cm³.
[tex]221 = l \cdot 8.5 \cdot 13[/tex]
Solving for [tex]l[/tex]
[tex]221=l \cdot 110.5[/tex]
Dividing both sides by 110.5
[tex]2=l[/tex]
The length is 2 cm.
What will be the unit digit of the cube of a number ending with 4 ?
Answer:
Step-by-step explanation:
4
unit digit=4
cube=64
7. If the age of a father is 6 times the age of his son and the total age of the father and his
son is 42, find their ages.
Solution
8. There are only two kinds of fruit for sale, apple and orange. The prices of an apple
and an orange are $4 and $5 respectively. On a certain day, the number of apples
sold is 6 times the number of oranges sold and the sum of money for the fruit sold is
$1 479. Find the total number of fruit sold that day. HKDSE reference 17 Paper 1
Solution
7. The son's age is 6 and his father's is 36.
Let the age of the son be [tex]x[/tex] and the age of his father be [tex]y[/tex],
[tex]x+y=42\\6x=y[/tex]
substitute [tex]6x[/tex] for [tex]y[/tex] in [tex]x+y=42[/tex] to find the age of the son:
[tex]x+y=42\\x+6x=42\\7x=42\\x=6[/tex]
since [tex]6x=y[/tex], substitute the value of [tex]x =6[/tex] to find the age of the father:
[tex]6x=y\\x=6\\y=6*6\\y=36[/tex]
8. The total number of fruit sold is 304.
Let oranges be [tex]x[/tex] and apples be [tex]y[/tex],
[tex]4x+5y=1479\\y=6x[/tex]
substitute [tex]6x[/tex] to find the number of oranges:
[tex]4x+5y=1479\\4x+5(6x)=1479\\4x+30x=1479\\34x=1479\\x=43.5[/tex]
now solve for [tex]y[/tex] to find the number of apples:
[tex]y=6x\\y=6*43.5\\y=261[/tex]
add the two together to find the total number of fruit:
[tex]x+y = 43.5+261=304.5[/tex] ≈ [tex]304[/tex] (rounded up because fruit count is a whole number)
4 A store sells two brands of hand lotion. Brand X costs $3.25 for 5 fluid ounces.
Brand Y costs $6.00 for 8 fluid Ounces. How much less per fluid ounce does
Brand X cost than Brand Y? Show your work.
Answer:
$0.10 less
Step-by-step explanation:
First you need to find how much for one fluid ounce, so for Brand X you would divide 3.25 by 5 to get 0.65 and for Brand Y 6.00 divided by 8 to get 0.75. Now you know how much for 1 ounce of each brand so next you just have to subtract 0.65 (Brand X) from 0.75 (Brand Y) to get that Brand X costs $0.10 less than brand y
150 140 130 120 110 100 90 80 70 60 50 40
11.III
What is the measure of ZJHG?
J
30 20 10
G
H
degrees.
The measure of ZJHG is
Answer:
The measure of ∠JHG is 70 degreesStep-by-step explanation:
If you have one of angle's sides by 0° at protractor then the other side crosses the measure of angle.
The measure of ∠JHG is 70°
What are angles?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named 'angulus,' meaning “corner.”
Given: The protractor has a line that coincides with the line that makes an angle of 70° with the base and thus the ∠JHG =70
Hence, The measure of ∠JHG is 70°
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The B737-400 aircraft flies an average speed of 400 miles per hour.The expression 400t gives the distance traveled by the aircraft in t hours. Find the distance traveled in 5 hours.
Answer:
The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles
Step-by-step explanation:
Average speed = 400 miles per hour
Distance = 400t
t= 5
Total distance = 400t at t hours
Total distance when t = 5 hours
Total distance travelled = 400t
= 400 × 5
= 2,000 miles
Total distance travelled = 2,000 miles
The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles
.
Guys I need help ASAP please!!!
The measure of angle 1 is (10 x + 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. 2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4. What is the measure of angle 2 in degrees?
Answer:
82°
Step-by-step explanation:
The given angles are vertical angles, so have the same measure:
(10x +8) = (12x -10
18 = 2x . . . . . . . . . . add 10-10x
9 = x
10x +8 = 10(9) +8 = 98
So, angles 1 and 3 measure 98°. Angles 2 and 4 are the supplement of this, so ...
∠2 = 180° -98° = 82°
Answer:
82
Step-by-step explanation:
Formula: (10x + 8)Angle 1 = (12x - 10)Angle 3
12x - 10x= 8 -(-10)
2x=18
9
you only need to insert the x value (9) into one equation because angles 1 and 3 are CONGRUENT.
(10 x 9) + 8 = ?
90 + 8= 98
and to solve the question, 180 - 98= 82.
82 is the answer
A Farmer Watered 3/8 of a field, What Percentage to the Fraction of the field the farmer watered?
Answer:
37.5%
Step-by-step explanation:
3/8 = 37.5%
What’s the transformations from y= x^2 for the following equation: h(x)= 2(x-5)-8
simplify 2x^2-1+4x^2-5
Answer:
6x^2-6
Step-by-step explanation: algebra
what does a hand-warmer generate
Answer: heat energy
Step-by-step explanation: not really a math question- but i'll explain it anyways. heat is the transfer of energy, and a hand warmer transfers energy to your hand, making it warm.
Answer:
Heat
Step-by-step explanation:
It generates heat that's why its a hand warmer.
At a butcher shop Karl bought 8 17/25lb of beef and some pork. He left with 17 1/4lb of meat. Express the number of pounds of pork he bought using a decimal.
Answer:
17 1/4 lb = 17.25 pounds
Step-by-step explanation:
Karl bought
Beef=8 17/25 lb
Pork= 17 1/4 lb
Express the number of pounds of pork he bought using a decimal
Pork= 17 1/4 lb
1 lbs to pound = 1 pound
17 1/4
= 69/4
=17.25 pounds
Alternatively
17 whole number
1/4=one quarter=0.25
Now 17 + 0.25
=17.25 pounds
Beef=8 17/25 lb
Beef to pound in decimal
8 whole number
17/25=0.68
8+0.68 = 8.68 pounds
Beef= 8.68 pounds
Pork=17.25 pounds