Answer:
A - 110
Step-by-step explanation:
So if it is 6% increase you would times the number by 1.06. So you would do this like 5 times:
1,625 x 1.06 = 1722.5
1722.5 x 1.06 = 1825.85
1825.85 x 1.06 = 1935,401
1935.401 x 1.06 = 2051,52506
2051.52506 x 1.06 = 2174,6165636
Now you have the total number of bottles after 5 years, you would find the increase which is 2174.6165636 - 1,625 ≈ 550. 550 / 5 = 110
A
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The average increase in bottles purchased per year over that time is c) 110 bottles.
What is percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is generally denoted using the percent sign ''%''.
Now it is given that,
Number of bottles purchased per year, a = 1,625
Percentage increase per year, r = 6% = 0.06
Total time period, n = 5 years
Since, the equation of a exponential growth function is given as,
y = a(1 +r)ⁿ
⇒ y = 1625(1 +0.06)⁵
⇒ y = 1625(1.06)⁵
⇒ y = 1625*1.338
⇒ y = 2,175
Therefore, average increase in bottles purchased per year over that time = (2175 - 1625) / 5
= 550 / 5
= 110 bottles
Thus, the average increase in bottles purchased per year over that time is c) 110 bottles.
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Algebra identify the pattern. Then write the next three terms in each sequence. 63,58,53,48.....
Answer:43, 38, 33
Step-by-step explanation:
The pattern is subtracting 5
63 -5 = 58
58 - 5 = 53
53 - 5 = 48
48 - 5 = 43
43 - 5 = 38
38 - 5 = 33
A bicyclist slow with a force of 3.5 × 10² N. if the bicyclist and bicycle have a total mass of 1.0 × 10² kg, what is the acceleration
Answer:
3.5 m/s²
Step-by-step explanation:
We are given;
The force of a bicycle as 3.5 × 10² NMass of the bicycle as 1.0 × 10² kgWe are required to determine the acceleration of the bicycle;
From Newton's second law of motion;
F = ma
Rearranging this;
a = F÷ m
Therefore;
Acceleration = 3.5 × 10² N ÷ 1.0 × 10² kg
= 3.5 m/s²
Thus, the acceleration of the bicycle is 3.5 m/s²
Use the distributive property to write an expression
that is equivalent to 45 + 30x.
Answer:
15(3+2x)
Step-by-step explanation:
Factor out the 15.
Alan, Brady and Matt shared 740 marbles. Alan has 20 fewer marbles than Brady and 120 fewer marbles than Matt. How many marbles did Alan have?
Answer:
[tex]200 \ marbles[/tex]
Step-by-step explanation:
[tex]Let\ Alan\ have\ =x\ marbles\\Brady\ have = (x+20)\ marbles\\Matt\ have = . (x+120)\ marbles\\\\Total\ marbles = 740\\x+(x+20)+(x+120)=740\\x+x+20+x+120=740\\3x+140=740\\3x=740-140\\3x=600[/tex]
Dividing [tex]3[/tex] both sides.
[tex]\frac{3x}{3}=\frac{600}{3}\\\\x=200[/tex]
We solve the problem by setting up a linear equation based on the information given. We solve it to find that Brady has 260 marbles and then deduct or add from this number to find the number of marbles for Alan and Matt. Our answer is that Alan has 240 marbles.
Explanation:This problem involves solving linear equations in order to find the number of marbles each person has. Firstly, we need to represent each person's marbles in terms of the other person's marbles as given in the question.
Let's say Brady has 'b' marbles. From the problem, we deduce that Alan has 'b-20' marbles (20 less than Brady). We can also deduce that Matt has 'b-20+120' marbles (120 more than Alan).
Given that the total number of marbles is 740, we can set up the equation b + (b - 20) + (b - 20 + 120) = 740. Solving this linear equation, we get b = 260. Then, substituting b in the expressions for Alan and Matt will give us the number of marbles for each person, implying Alan has 260 - 20 = 240 marbles.
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There are 6 blue socks, 7 white socks, and 8 gray socks in a drawer. If you pick sock without looking, what is the probability it will be blue?
Answer:
Pr(blue) = 2/7
Step-by-step explanation:
Blue = 6
White = 7
Gray = 8
Total socks = 6+7+8 =21
Probability of picking blue = number of blue ➗ total number of socks
Pr(blue) = 6/21
Divide both by 3 to make the fraction to the lowest term.
Pr(blue) = 2/7
I hope this was helpful, please mark as brainliest
Answer:
2/7
Step-by-step explanation:
6 blue socks
7 white socks and
8 gray socks
Total number of socks = 6 + 7 + 8
= 21
Probability of picking a blue sock without looking = no of blue socks / total number of socks
That’s 6/21
= 2/7
The probability of picking a blue sock is 2/7
Petra must write a report with more than 1,000 words for her history class. So far, she has written 684 words. Write and solve an inequality to find how many more words Petra needs to write for her report.
Answer:
1684 words
Step-by-step explanation:
What's the answer please, step by step 20 points
3*4³, it says to simplify the answer
Answer:
192
Step-by-step explanation:
look for the app photomath shows u the steps
if the numerator and the denominator of a fraction are both odd numbers,can you write an equivalent fraction with a smaller numerator and denominator?give an example to explain
You can write an equivalent fraction with a smaller numerator and denominator
Fractions
This is the ratio of two integers:
Let the odd numerator be 5 Let the odd denominator be 15We are to determine if you can write an equivalent fraction with a smaller numerator and denominator.
Ratio = 5/15
Simplify
Ratio = (5*1)/(5*3)
Ratio = 1/3
This shows that you can write an equivalent fraction with a smaller numerator and denominator
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3.541 ( repeating 41) as a simplified fraction
[tex]\boxed{x=\frac{1753}{495}}[/tex]
Explanation:The steps are as follows:
Step 1. Let's create an equation such that x equals the decimal number
[tex]x=3.5414141...[/tex]
Step 2. Let's multiply x by 100
[tex]10x=35.414141... \ \ \ eq 1[/tex]
Step 3. Let's multiply x by 1000
[tex]1000x=3541.414141... \ \ \ eq2[/tex]
Step 4. Subtract equation (1) from (2)
[tex]1000x-10x=3541.414141... - 35.414141... \\ \\ 990x=3506 \\ \\ x=\frac{3506}{990} \\ \\ Dividing \ both \ numerator \ and \ denominator \ by \ 2: \\ \\ \boxed{x=\frac{1753}{495}}[/tex]
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The fraction that represent the given repeating decimal number is [tex]\frac{3506}{990}[/tex].
The given repeating of decimal number is [tex]3.5\bar{41}[/tex].
The decimal number can be written as [tex]3.5414141......[/tex]
Take [tex]x=3.5414141......[/tex]---------(i)
Multiply equation (i) by 10, we get
[tex]10x=35.414141......[/tex] ---------(ii)
Multiply equation (i) by 1000, we get
[tex]1000x=3541.4141......[/tex] ---------(iii)
Subtract equation (ii) from (iii), we get
[tex]1000x-10x=3541.4141......-35.4141......[/tex]
[tex]990x=3506[/tex]
[tex]x=\frac{3506}{990}[/tex]
Therefore, the fraction that represent the given repeating decimal number is [tex]\frac{3506}{990}[/tex].
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Write an equation in point-slope form for the line through the given point that has the given slope.
(5, –8); m = –3
Answer:
y=mx+b is the formula. So -8=-3x+5 would be the answer..
since (x,y) just substitute these numbers you have it into the formulas... Take y from (5,-8) and place it into y=mx+b. Next take the slope which is -3. And then since its a postive number we add are x from (x,y). -8=-3x+5. We also add x next to the slope (-3) becuase we are trying to solve for x. And we always put it next to the slope. Hope this helps!
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) you have : m=-3 and x_1 = 5 and y_1 = -8
an equation in the point-slope is : y +8 = m(x - 5)
Evaluate:
(-4) - (-16) + (-10) - (-1) - (14) + (11)
Answer:
I got the answer -2
Step-by-step explanation:
if a=10 and b=2,then a/b•b=
a=10 & b=2, according to this, 10/2=5, so now it's 5*2=10
A triangle has the length of 6cm and height of 8cm. The area of the rectangle is 5 times the area of the triangle. The rectangle has the length of 12cm. Work out what the width is.
Answer:
10cm
Step-by-step explanation:
Since the area of the rectangle is 5times the area of the triangle, let us first of all find the area of the triangle.
From the question, we obtained the following information:
h = 8cm
b =6cm
Area of triangle = 1/2 x b x h
Area of triangle = 1/2 x 6 x 8
Area of triangle = 24cm^2
But,
Are of the rectangle = 5times the area of triangle i.e
Area of rectangle = 5 x 24 = 120cm^2
Area of rectangle = L x w
L = 12cm
Area of rectangle = 120cm^2
W =?
120 = 12 x w
Divide both side by 12
W = 120 /12 = 10cm
Find the sum of the complex numbers
(2 + 4i) + (9 +61)
A. 7+ 101
B. 11 + 21
C. 7+21
D. 11 + 101
Answer:
11+10i
Step-by-step explanation: (a+ib) + ( x+ iy) = ( a+ x) +i( b+ y)
so, (,2+4i) + (9+6i) = (2+9) + (4+6)i
= 11 + 10i
Graph the function f(x)=5−1.5x
The function f(x) = 5 - 1.5x can be graphed by calculating the y values for a set of x-values, plotting these points, and drawing a straight line that connects them, as it is a linear function with a slope of -1.5.
Explanation:To graph the function f(x) = 5 - 1.5x, we can start by finding values for x and calculating the corresponding y-values. For instance, when x = 0, f(x) = 5 - 1.5*0 = 5. When x = 1, f(x) = 5-1.5*1 = 3.5. So, we can plot these points (0,5) and (1,3.5) respectively.
Next, because this is a linear function (it has the form y = mx + b), these points should form a straight line. Simply draw a line that passes through these points. Further, this function has a negative slope of -1.5 which means the line should be falling as it moves from left to right.
The x-axis and the y-axis must be labelled distinctly and the scale should be defined according to the maximum and minimum values of x and y observed.
Note: Without any restrictions on the domain mentioned, we assume that x is a real number and therefore, the graph stretches infinitely in both directions.
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The solution to which inequality is shown in the number line below
Answer:
Could you provide a picture of said number line
What is the simplest form for 28 out of 32
Answer:
Ans = 7/8
Step-by-step explanation:
28 out of 32
= 28/32
Dividing through by 4
= 28/4 / 32/4
= 7/8
What sort of answer do you expect for the problem below?
In a team bike race, each biker has to ride exactly 50 miles. If a team must
complete 560 miles, at least how many bikers are on each team?
A. a positive number
O
O
B. a negative number
Answer:
it would be a positive number
Step-by-step explanation:
this is because you cant have a negative number of bikers.
.. Tanner collected 360 cans and bottles while fundraising for his baseball team. This was
40% of what Reggie collected. How many cans and bottles did Reggie collect?
Answer:
Reggie collected 900 cans and bottles.
Step-by-step explanation:
360 ÷ 40 = 9
9 x 100 = 900
900 - 40% = 540
900 - 540 = 360
So, Reggie collected 900 cans and bottles. And between him and Tanner, they collected 1,260 cans and bottles. It must have been VERY dirty where they were collecting the cans and bottles.
The area of the base is 34 cm². The height is 7 cm. What is the volume.
Answer:
238cm³
Step-by-step explanation:
Final answer:
To calculate the volume, multiply the given area of the base (34 cm²) by the given height (7 cm) to obtain a volume of 238 cm³.
Explanation:
The question pertains to finding the volume of a three-dimensional object. Given the area of the base of the object is 34 cm² and the height is 7 cm, the volume V can be calculated using the formula V = area of base × height.
To solve, we simply multiply the area of the base by the height:
V = 34 cm² × 7 cm = 238 cm³.
The volume of the object is therefore 238 cm³.
How many x-intercepts appear on the graph of this polynomial function? f (x) = x Superscript 4 Baseline minus 5 x squared 1 x-intercept 2 x-intercepts 3 x-intercepts 4 x-intercepts
Answer:
3 x-intercepts
Step-by-step explanation:
f(x) = x⁴ - 5x²
There will be 4 x-intercepts on the graph of this polynomial function
Given the polynomial equation expressed as:
f(x) = [tex]x^4-5x^2[/tex]The x-intercept of a polynomial is determined by the degree of the given polynomial.According to the polynomial given, we can see the highest degree of the polynomial is 4. Hence there will be 4 x-intercepts on the graph of this polynomial function
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Find the value of x in this polygon.
x =
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
PLATO
Which expression is not equivalent to the other expressions?
-6(2x -4)
-(12x -6) +18
-3(4x -3) +15
-4(3x +6)
-4(3x + 6) is not equivalent to other expressions
Solution:
Let us use the distributive property to get the equivalent expression
Distributive property is represented as:
a(b + c) = ab + ac
First expression:[tex]-6(2x - 4) = (-6 \times 2x) + (-6 \times -4) = -12x + 24[/tex]
Second expression:Using distributive property,
[tex]-(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24[/tex]
Third expression:Solve the expression using distributive property
[tex]-3(4x-3) + 15 = ((-3 \times 4x)+(-3 \times -3)) \\\\-3(4x-3) + 15= -12x + 9 + 15 \\\\-3(4x-3) + 15=-12x + 24[/tex]
Fourth expression:[tex]-4(3x + 6)= -4 \times 3x + -4 \times 6\\\\-4(3x + 6)= -12x -24[/tex]
Thus fourth expression is not equivalent to other expressions
What are the coordinates of its image, J'KL, if this
triangle is dilated by a factor of 5 with respect to the
origin?
Answer:
[tex]J'(-15,10)\\\\K'(15,10)\\\\L'(0,-20)[/tex]
Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
Dilation is defined as a transformation in which the Image and the Pre-Image have the same shape, but different sizes.
If a figure is dilated by a scale factor "k" with respect to the origin, the rule is:
[tex](x,y)[/tex] → [tex](kx,ky)[/tex]
In this case, the vertices of the triangle JKL (the Pre-Image) are:
[tex]J(-3.2)\\\\K(3,2)\\\\L(0,-4)[/tex]
Knowing that the scale factor is:
[tex]k=5[/tex]
You get that the vertices of the triangle J'K'L' (Image), are:
[tex]J'=(5(-3),5(2))=(-15,10)\\\\K'=(5(3),5(2))=(15,10)\\\\L'=(5(0),5(-4))=(0,-20)[/tex]
Answer:
J'(–15, 10), K'(15, 10), and L'(0, –20)
Step-by-step explanation:Glad I could help
Convert 13200 feet into miles
Answer:
2.5 miles
Step-by-step explanation:
to do this, you must know that there is 5280 feet in one mile.
then divide 5280 feet into 13200
13200 ÷ 5280 = 2.5
13200 feet can be converted to miles by dividing the length in feet by the conversion factor of 5280, which represents the number of feet in a mile.
To convert feet to miles,
divide the length in feet by the conversion factor of 5280, as there are 5280 feet in a mile. By dividing 13200 feet by 5280, the results in 2.5 miles. This means that 13200 feet is equal to 2.5 miles in length.To convert 13200 feet to miles, divide 13200 by 5280.
[tex]13200 / 5280 = 2.5[/tex] miles.
13200 feet is equivalent to 2.5 miles
Therefore, 13200 feet is equivalent to 2.5 miles by dividing the length in feet by the conversion factor of 5280, which represents the number of feet in a mile.
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120% of x is equal to 78.
Write an equation that shows the
relationship of 120%, x, and 78.
Use your equation to find x. Show
your reasoning.
Please help
Answer:
x = 65
Step-by-step explanation:
120% converts to the mixed decimal quantity 1.20.
Then 1.20x = 78, and this can be solved for x as follows:
Divide both sides by 1.20. We get: x = 78/1.20, or x = 65
Answer:
Step-by-step explanation:
If it takes 5 hour to paint 5/6 of a truck,how long will it take to paint the whole truck
Answer:
6 hours.
Step-by-step explanation:
5/6 / 5 is 1/6. 6 divided by 1 out of 6 is 6. so 6 hours
6 hours
If it takes 5 hours to paint 5/6 of a truck that means that that 1 hour is 1/6
What does 4 1/4 subtracted by 1 2/3 equal
Answer:
2
Step-by-step explanation:
Answer:
2.58333333333
Step-by-step explanation:
calculator
A music teacher needed .25 hour per student to administer an oral test. If the teacher spent 3.75 hour Administering the test, how many students were tested?
Answer:
one student = 0.25
3.75 ÷ 0.25 = 15
15 students were tested by the teacher.
Step-by-step explanation:
Find the Highest Common Factor of 32 and 24
Answer:
the highest common factor of 32 and 24 is 8.
Step-by-step explanation: