Answer:
The minimum monthly income required by the lender is $5214.30
Step-by-step explanation:
Here, we want to calculate the minimum monthly income required by the lender
From the question, we have that the monthly payment must not exceed 28% of the buyer’s monthly income
So in this case, let the monthly income be x
So therefore;
28% of x = 1460
Thus;
28/100 * x = 1460
28x = 100 * 1460
x = (100 * 1460)/28
x = 5214.30
A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.
Answer:
a) 44[tex]\sqrt{3}[/tex]/3 feet
b) .3 minutes
Step-by-step explanation:
We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by
for b), simply divide a) by 75 ft/min, which is approximately .3 minutes.
Find the slope
please help
Answer:
5/2
Step-by-step explanation:
Rising, there are 5 squares. Running, there are 2 squares. The line is rising left to right, so the slope is positive.
I need help solving this ! I would appreciate it
Answer:
-1 > -2
Step-by-step explanation:
-9 ÷ (3(3) > -2
-9 ÷ 9= -1
-1 > -2
this is true
Find the diagonal of the box using the Pythagorean Theorem.
Answer:
26 cm
Step-by-step explanation:
Given:
Length = 24 cm
Width = 8 cm
Height = 6 cm
Required:
Diagonal of the box
SOLUTION:
Using the pythagorean theorem, [tex] a^2 + b^2 + c^2 = d^2 [/tex], where,
a, b and c are the dimensions of the box, and d is the length of the diagonal.
Plug in the value into the formula
[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]
[tex] 676 = d^2 [/tex]
[tex] \sqrt{676} = \sqrt{d^2} [/tex]
[tex] 26 = d [/tex]
Length of diagonal of the box = 26 cm
how can you determine the additive inverse of a number. What is the sum of a number and its additive inverse?
Answer:
An example can be 14 + (-14) = 0
Whenever you encounter a problem like the one I put, your answer should ALWAYS be 0 because you start with 14. Now take away 14 you end up with 0.
Step-by-step explanation:
Hope this helps!
if rst ≅ npq, m∠r = -7x +9, m∠n= -10x, find m∠r and m∠n
Answer:60
Step-by-step explanation: x=10
-7+9=2*10=20
-10*10=100
180-100-20=60
how do you graph this
y-2x=0
y=4x+3
Answer:
Step-by-step explanation:
those are 2 lines, and to graph them find 2 points for each to draw a line trough them
line 1
y-2x=0 so y=2x
pick any value for x
(x=1, y=2*1=2), (x=3, y=2*3=6)
Draw a line trough points (1,2) and (3,6)
line 2
y=4x+3
(x=1, y=4*1+3=7), (x= -1, y= 4(-1)+3= -1)
Draw a line trough points (1,7) and (-1, -1)
Two random integers, a and b, are independently chosen, with replacement, from 1 to 1000, inclusive. What is the probability that both 2^a 2^b and 3^a 3^b are multiples of 5
Answer:
The probability is zero
Step-by-step explanation:
For a number to be a multiple of 5, the number must end with either 0 or 5
These are the only numbers in which we can have 5 as a factor of
Now when we raise 2 to any number, there are only some sets of possible results
These numbers are only multiples of 2
These can be;
2, 4, 6 and 8
No root of two has its end in 0 or 5, so none has 5 has its factor
Let us now look at 3
The multiples of 3 when raised are;
3,9,1,7,
As we can see, at no point do we have 5 or 0 as the result
So since we have none of both as ending 5 or 0, the probability we are looking for is zero
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
Henry rode his motorcycle from his house to a friend's house. After riding 10 miles, he realizes he has traveled 2/3 of the way. How far is Bob's house from his friend's house?
A. 20 miles
B. 15 miles
C. 12 miles
D. 25 miles
Step-by-step explanation:
2/3 of diatance = 10 miles
3/3 of distance = 10 * (3/2) = 15 miles.
The distance between the houses is 15 miles. (B)
Let the total distance covered= x
Distance covered= 10 miles
According to the question,
2/3 of x= 10
=> 2/3 × x= 10
=> 2x/3= 10
=> 2x= 10× 3
=> 2x= 30
=> x= 30/2
=> x= 15
Bob's house is 15 miles away from Henry's house.
Which equation represents a line with a slope of -2/3
and passes through the point (6,-2)?
one factor of 8x^3+1 is 2x+1 The other factor is?
Factor completely 5b^2-11b+6
Answer:
(b - 1) (5b - 6)
Step-by-step explanation:
1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation:
help me please and thank you
Answer:
4 dollars per pint. You can 0.25 pint per dollar. For 20 dollars
u can get 5 pints. 8 pints will be 32 dollars.
Answer:
Per pint is $4
You get a .25 pint for 1 dollar
You get 5 pints for $20
It cost $32 for 8 pints of raspberries
Step-by-step explanation:
Once you find the unit rate you can multiply and divide depending on the question.
50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?
Answer:
Southwest
Step-by-step explanation:
Southwest always has good timing.
Answer:
SouthWest airlines
Step-by-step explanation:
It is the best Airlines and will always arrive on time
Y=|x+2|-3 find the axis of symmetry
Who can answer my question in square LMNO find the length of LM
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
Branliest! Please I'm beggin you! Help me!!!
The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?The lunch lady has 5 pounds of lasagna left over. If she makes 14-pound servings, how many servings of lasagna can she serve with the amount left over?
Answer:
How does she make 14 pound servings with 5 pounds ?
Answer:
4/5
Step-by-step explanation:
cus i said so
which statement is true
Answer:
the answer is B that is
ΔABC is similar to ΔEDC
Step-by-step explanation:
look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.
moreover, c is at the last in abc just like in edc
Can someone help me really quick!?
Answer:
Yes its 2nd, 4th, and 5th
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?
Answer:
true
Step-by-step explanation:
ILL MARK AS BRAINLESS PLS HELP
Answer:
5765/574
Step-by-step explanation:
there u go lol
mga solusyon sa epektibong komunukasyon sa pamilya
Answer:
Translation: Solutions to effective family education
Step-by-step explanation:
At midnight what temperature is -6C. At midday the temperature is -9C. By how much did the temperature rise ?
Answer:
It didn’t go up, it went down 3 degrees
Step-by-step explanation:
It’s negative degrees so the less negative it is the higher it is.
Answer:
it rose by -3C, or went down 3C
Step-by-step explanation:
A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fuses selected at random there will be atleast one defective and not more than one defective.
Answer:
0.419
Step-by-step explanation:
To calculate this, we shall make use of Bernoulli approximation of Binomial distribution
if 20% are defective, then 80% are not defective
Probability of selecting a defective fuse is 20/100 = 0.2
Probability of selecting a non defective one is 0.8
Probability of at least 1 being defective is = 1 - Probability of none being defective
Mathematically that will be;
0.8^8 = 0.168
The above is probability of none defective
So the probability of at least one will be
1 - 0.168 = 0.832
Probability of not more than 1 means;
Probability of none + probability of 1 being defective
We already have probability of none above
Probability of 1 being defective means 8 will be non defective
The probability in this case is;
8 C 1 0.2^1 0.8^7
= 8 * 0.2 * 0.8^7 = 0.336
Add this to the probability of none = 0.336 + 0.168 = 0.504
So the probability that we want to calculate from the question will be;
Probability of at least one defective * probability of not more than one defective
= 0.832 * 0.504 = 0.419
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled how could tristansrun be represented as a fraction and decimal of the whole football field
Answer:
As a fraction = [tex]\dfrac{30}{100}[/tex]
As a decimal = 0.3
Step-by-step explanation:
Recall that: The total yard of a football field = 100 yards
Tritan played in a football game he caught the ball at the goal line and ran forward 30 yards before he was tackled,
As a fraction;
Tristan run can be represented as = number of run from goal-line/ total length of the field
= [tex]\dfrac{30}{100}[/tex]
As a decimal= 0.3
What would 3 1/3 be if you had to borrow?
we will eat chocolate of rupee 1 and divide other amount ofoney equally
1) 15 = 2W - 5
2) 24 = 2x - 9
9514 1404 393
Answer:
1) W = 10
2) x = 33/2
Step-by-step explanation:
These are 2-step linear equations. Step 1: Add the opposite of the constant on the right. Step 2: Divide by the coefficient of the variable.
__
1) 15 = 2W -5
20 = 2W . . . . . add +5
10 = W . . . . . . . divide by 2
__
2) 24 = 2x -9
33 = 2x . . . . . add +9
33/2 = x . . . . divide by 2
_____
As always, whatever you do to one side of the equation must also be done to the other side. That is, the same number is added to both sides; both sides are divided by the same number.