Answer:
170t+D=8500
D=170t−6460
Step-by-step explanation:
Mathematical models are used to explain real life situations.
We can see from the question that the total debt is $8500 while there is interest rate of 0% for 24 months. We are also told that after 12 months, the remaining debt was $6460.
Now, the equations that correctly model the situation are;
170t+D=8500D=170t−6460Learn more about mathematical models:https://brainly.com/question/731147
A compound inequality is graphed, and its graph consists of all real numbers.
Which open sentence could have resulted in this solution set?
A. r < 3 or r > –2
B. r > 3 or r > –2
C. r < 3 or r < –2
D. r > 3 or r < –2
Answer:
A
Step-by-step explanation:
Domain of r<3: (-∞,3)
Domain of r>-2: (-2,+∞)
(-∞,3)U(-2,+∞)=(-∞,+∞) = ℝ
!!!!!!!!!PLEASE HELP ME!!!!!
Ernesto received a raise in his hourly pay, from $20.65 to $23.55. find the percent change round to the nearest tenth of a percent
Given that f (x) = 5x – 8, what is f (1)?
Answer:
-3
Step-by-step explanation:
f (1) = 5(1) - 8
5 - 8 =
-3
when solving 20x+5y=40 for y
The answer is y=-4x+8. The paper shows how to solve the equation step by step.
Dylan paid $3.50 for 12 folders. How much would he pay for 30 folders?
Answer:
8.75
Step-by-step explanation:
12f=3.50
30f=3.50/12*30
3.50/12*30= 8.75
8.75 is the amount for 30 folders.
Pls help extra points and mark brainlist
Answer:
343
Step-by-step explanation:
Can someone help plz
Answer:
(-2) + (3-7)
(-1) * (-2)
EVALUATE THE EXPRESSION
Step-by-step explanation:
HELP ME
Faizal and Ritesh are playing a game on fractions. They make 5 chits, each having some fractions written on it. Faizal picks up a chit and got the fraction 3/5 Ritesh picks a chit with fraction which is equivalent to Faizal's fraction. What fraction is with Ritesh?
Answer:
3/4
Step-by-step explanation:
(3/4)/x=1
3/4 = x*1 = x
Or it can be other 3/4 in other forms such as 6/8 or 9/12
In the figure below, tan B = 4/3. If BC = 15 and DA = 3, what is the length of DE ?
A. 8
B. 12
C. 6
D. 9
Answer:12
Step-by-step explanation:
The length of the segment in the right triangle is 6 unit.
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
Given that,
A right angle triangle,
In which, tan B = 4/3, BC = 15 and DA = 3,
the length of DE = ?
suppose, the length of BD is x
and the length of DE is h.
we can use trigonometric formula her;
sin B = AC/BC
sin B = AC/15
if the value of tan B is 4/3 then the value of sin B will be 4/5.
AC/15 = 4/5
AC = 12
Now, tan B = 4/3 = 12/AB
AB = 16
Now we can use similarity of triangles;
DE/BD = AC/AB
DE = BD x (AC/AB)
BD = AB/2
DE = 8 x 12/16
= 6
Therefore, the length of DE is 6 unit.
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An airplane travels 500 miles in 2 hours. What is the airplane's speed in feet per second? How to do step by step.
g Suppose that you randomly selected 20 adults. If 18% of the population smoke, a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 20 adults
Answer:
0.16
Step-by-step explanation:
The computation of the minimum no of usual smokers expected to get out of 20 adults is shown below:
Here the standard deviation is
[tex]= \sqrt{npq} \\\\= \sqrt{20\times 0.18 \times (1 - 0.18)}\\\\= \sqrt{20\times 0.18\times 0.82}\\\\= \sqrt{2.952}[/tex]
= 1.72
Now the minimum no of smokers is
[tex]= np - 2\times 1.72\\= 20 \times 0.18 - 3.44\\\\= 0.16[/tex]
Find the slope given: (-2,-1) & (-8, 11)
m =
Answer:
[tex]\displaystyle m=-2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-2, -1)
Point (-8, 11)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{11+1}{-8+2}[/tex][Fraction] Add: [tex]\displaystyle m=\frac{12}{-6}[/tex][Fraction] Divide: [tex]\displaystyle m=-2[/tex]Last month, Carla’s neighbors paid her to take care of their cat when they went on vacation.she spent $3 of her earnings on an afternoon snack and $14 on a new book. Afterwards, she had at most &8 left. How can u best describe how much Cala’s neighbors paid her?
Answer:
She had at least 21
Step-by-step explanation:
She had at least 4+ 12 +5
She had at least 21
She spent 4 and 12 so she had 16 dollars
She had at least 5 left
so at the very least she had 16+5 which is 21, she may have had more
A store has two different brands of laundry detergent. Brand A can
do 80 loads of laundry and costs $12.75. Brand B does 36 loads of
laundry and costs $6.75
Answer:
20=3.19
1=0.16
Step-by-step explanation:
Rounded to the nearest cent
12.75/80 to get unit price
Then unit price multiplied by 20
find the perimeter (help pls)
Answer:
14
Step-by-step explanation:
63²
Note:I'm hoping the bottom of the other side is 10 as well or this is wrong
20 POINTS
look at the rectangle below. the sum of the measures of the 3 interior angles of any triangle is always 180° . What is the measure of
A- 30°
B- 45°
C- 60°
D- 120°
Solve the following problem -9 + w = 1.
What is the value of w?
Can someone Plz help me......
Answer:
w = 10
Step-by-step explanation:
-9 + w = 1
w = 1 - (-9)
w = 1 +9
w = 10
what is 5/9 + 1/5= ??
Answer:
34/45
Step-by-step explanation THERE IS NO NEED 5/9 +1/5=34/45
Find the unknown coordinate so the line through the points has a given slope.
(2, Y), (4, 20); slope = 5
Answer:
8888888888888888888888 my dude
Larry drives 225 miles in 4.5 hours abd 375 miles in 7.5 hours. Based on Larrys rate which equation will calcuate the distance Larry drives d, in t hours
The rate of distance which is the average speed driven by Larry is; (d1 + d2)/(t1 + t2) = 50 mph
How to Calculate mathematical rates?We are given;
First distance driven by Larry = 225 miles
First time by Larry = 4.5 hours
Second Distance driven by Larry = 375 miles
Second time by Larry = 7.5 hours
Formula for rate of distance which is speed is;
s = d/t
where;
d is distance
t is time
Thus;
Rate = (225 + 375)/(4.5 + 7.5)
Rate = 600/12
Rate = 50 mph
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Find m2. The diagram is not to scale.
770
270
a
76
b
104
С C
103
86
Answer:
The answer is A
Step-by-step explanation:
Please help I do anything just help
The table shows the amounts of tomato sauce and cheese used to make the last 4 orders at Sara’s Pizza
b. Sara’s Pizza recorded weekly sales for regular cheese pizza from the past four weeks.
Week 1: 417 pizzas sold
Week 2: 399 pizzas sold
Week 3 : 405 pizzas sold
Week 4: 410 pizzas sold
Estimate how much tomato sauce and cheese they should purchase for next week. Explain how you made your estimate and why it is reasonable.
Answer:
i think it week 2
Step-by-step explanation:
hope this help
Simplify the following expression.
5 [13 + 10 = (3 + 2)] + 9 x 2
Answer:
i BELIEVE ITS
Step-by-step explanation:
5 [13 + 10 = (3 + 2)] + 9 x 2
65+50=25+18
115=43
what does the unit 3 represents in the number 21,473,862,095
Answer:
1 million
Step-by-step explanation: you go from the last number and count the steps like ones, tens, hundreds, and so on
please help view the attached screenshot below.
Answer:
x = 1
Step-by-step explanation:
Vertical Angles equal each other
Angle A = Angle B
5x - 4 = 2x - 1
3x - 4 = -1
3x = 3
x = 1
What are a missing number 3/5=...../20 12/16=..../8
Answer:
3/5=12/20
12/16=6/8
Step-by-step explanation:
mUTS=172, mATS=x+116 and mUTA=x+64 Find mUTA
Answer:
m<UTA=56⁰
Step-by-step explanation:
172-116=56
if you know that UTS is equal to 172. take 172 subtracting 116(which is angle ATS). 56 would be the degree for angle UTA
Find the value of each expression.
2 + 3 • 4
(2 + 3)(4)
2﹣3 • 4
2﹣(3 + 4)
2﹣3﹣4
Answer:
1) 2+3*4= 14
2) (2+3)(4)= 20
3) -10
4) -5
5) -5
Step-by-step explanation:
Marcus collects donations and sends care packages to troops overseas. He has 36 bars of soap and 24 toothbrushes and wants to arrange the items so the packages are identical. What is the greatest number of packages that Marcus can make using all the soap and toothbrushes? ) What is the greatest number of packages of soap and toothbrushes that Marcus can make? Marcus can make at most 12 packages. ) How many bars of soap and toothbrushes are in each package? 2 toothbrushes in each pockage 6) There are ? bars of soap and ? toothbrushes in each package?
Answer:
Marcus can make 12 packages, with 2 toothbrushes and 3 bars of soap in each package.
Step-by-step explanation:
For all the packages to be identical, they must all contain the same numbers of soaps and the same nuber of toothbrushes.
The ratior of soaps to brushes is 36/24 = 3/2
He could make 24 packages, each with 1 tootbrush and (3/2) bars of soap.
Assuming he is not going to cut soap bars in half, that is no good.
To make the numbers of individual items come out as integers, the smallest number he can multiply them by is the denominator on the (3/2) bar of soap. That would be a 2.
So he can makes packages with toothbrushes = 2 x 1 =2
and soap bars = 3/2 x 2 = 3
He can put 5 items in each package - 3 soap bars and 2 toothbrushes.
That means he makes 12 packages.
The greatest number of packages is 12 with 2 toothbrushes and 3 soap bars in each package.
It is given that the Marcus has 36 bars and 24 toothbrushes and wants to arrange the items so the packages are identical.
It is required to find the greatest number of packages that Marcus can make using all the soap and toothbrushes.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.
Marcus has number of bars of soap = 36 and
Number of tooothbrush = 24
The ratio of soap bars to toothbrushes = 36:24 or
= 3:2
It meanse Marcus can make 24 packets with [tex]\frac{3}{2}[/tex] soap bars and toothbrush
Because there are 24 toothbrushes but the number of bars can not be in fraction so multiply by 2 on denominator, we get:
Number of toothbrushes = 2×1 = 2
Number of soap bars = [tex]\frac{3}{2}[/tex] ×2 = 3
Now he can make total 12 packets with 2 toothbrushes and 3 soap bars.
Sum of toothbrushes and soap bars = 24+36 = 40
Number of soap bars and toothbrush in each packet = 2+3 = 5
Number of packages= [tex]\frac{60}{5}[/tex] = 12
Thus, the greatest number of packages is 12 with 2 toothbrushes and 3 soap bars.
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Determine which of the following is an equivalent ratio for 2:7 
Answer:
4:14
multiply or divide both quantities by the same number