A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain. The shop run by the chain serves 502 customers day. About how many customers does the local shop serve in a day
Answers
Answer:
about 112 customers
Step-by-step explanation:
we know that
To find out how many customers does the local shop serve in a day, multiply the fraction 2/9 by the number of customers that the shop run serve in a day
Let
x ----> the number of customers that the shop run serve in a day
y ----> the number of customers that the local shop serve in a day
[tex]y=\frac{2}{9}x[/tex]
we have
x=502
substitute the value of x in the equation
[tex]y=\frac{2}{9}(502)[/tex]
[tex]y=111.6[/tex]
Round up
so
about 112 customers
The local shop serves about 112 customers in a day
Further explanationOrder of Operations in Mathematics follow this following rule :
ParenthesesExponentsMultiplication and DivisionAddition and SubtractionThis rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem.
[tex]\texttt{ }[/tex]
This problem is about Percentage.
A local coffee shop serves 2/9 as many customers as a shop run by a national coffee chain.
[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times \texttt{National Chain's customers}[/tex]
[tex]\texttt{ }[/tex]
The shop run by the chain serves 502 customers day.
[tex]\texttt{National Chain's customers} = 502[/tex]
[tex]\texttt{ }[/tex]
[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times \texttt{National Chain's customers}[/tex]
[tex]\texttt{Local Shop's customers} = \frac{2}{9} \times 502[/tex]
[tex]\texttt{Local Shop's customers} = 111\frac{5}{9}[/tex]
[tex]\texttt{Local Shop's customers} \approx 112[/tex]
[tex]\texttt{ }[/tex]
Conclusion:The local shop serves about 112 customers in a day
[tex]\texttt{ }[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Answer detailsGrade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
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Point Q has an angle of 72, which means that point M also has an angle of 72.
Now you have two angles to find x. All interior angles of a triangle add up to 180, so you can set up the following equation to find x:
72 + 36 + x = 180
Subtract 36 from both sides.
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Subtract 72 from both sides.
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Answer:
Step-by-step explanation:
72
if a hot air balloon descends at a rate of 320 feet per min for 3 mins what is its total change in altitude
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Since you want to find the total change in altitude in 3 minutes, you would need to multiply 320 feet/min by 3 minutes. (Remember multiplication is the same thing as repeated addition, and you're repeatedly adding a change in 320 feet for every minute that passes):
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Answer: The total change in altitude is 960 feet.
Donna wants to draw a right triangle. She wants the hypotenuse to be 1.5 inches long and one of the legs to be 1.2 inches long. Enter the length that she must use for the second leg to form a right triangle.
Answers
Since the measurements for one of the legs and the hypotenuse are already given, this leaves out only with one unknown, which we may say the "a" leg.
Substituting the given values, we have a^2 + (1.2)^2 = (1.5)^2. Simplying the exponents, we have a^2+1.44 sq.inches = 2.25 sq.inches. Now, isolating the unknown, a^2 = 2.25 - 1.44 sq.inches. Further, we have a^2 = 0.81 sq.inches. Therefore, a = √0.81 sq.inches or a = 0.9 inch.
|-7 + 5| +6
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Only 6 of the 75 trees in a park are at least 30 feet tall. What percent of the trees are under 30 feet tall?
Answers
Answer: 8%
Answer:
8%
Step-by-step explanation:
Please help on the fraction question
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Tommy conducts an experiment where he rolls a number cube, with sides labeled from 1 to 6, and then flips a coin. This table shows the results from 12 trials. Results 1 H 4 T 1 H 5 T 2 H 3 T 6 T 2 H 3 T 5 T 3 H 4 T How do the experimental probability and theoretical probability of rolling an odd number and then flipping a tail in Tommy's trials compare? Drag and drop the values or phrases to correctly complete the sentence. The experimental probability is , which is the theoretical probability of .
Answers
The theoretical probability of rolling an odd and flipping a coin is 1/4.
1/2 x 1/2 = 1/4
Looking at the results, there are 4 occasions where an odd numbers was flipped then tails.
That is 4 out of 12 or 1/3 which is more than 1/4 for the theoretical.
Answer:
The experimental probability is greater than the theoretical probability.
Step-by-step explanation:
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you are dealt one card from a standard 52-card deck. Find the probability of being dealt a 3.
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The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.
If they played 43 games, how many did they lose?
Answers
If they played 43 games, the number of games that they lost is: 32
How to save algebra word problems?
Let
x represent number of games won
Let y represent number of lost games.
Thus;
y = 4x - - - - - equation (I)
Let z denote tied games.
Thus;
z = x - 5 - - - - - equation(II)
Total games played is 43.
Thus;
x + y + z = 43 (III) equation
substitute (I) and (II) in (III)
therefore
x+(4x)+(x-5)=43
6x-5=43
x=48/6
x=8
y = 4x
= 4*8 =32
The answer is 32 lost games
can you solve x = 29 - 3(9 - 4)
Answers
The solution of expression is.
⇒ x = 14
We have to given that,
An expression,
⇒ x = 29 - 3 (9 - 4)
Now, We can solve the expression for value of x as,
⇒ x = 29 - 3 (9 - 4)
⇒ x = 29 - 3 × 5
⇒ x = 29 - 15
⇒ x = 14
Therefore, the solution of expression is.
⇒ x = 14
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On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wide?
Answers
First we need to find 3.75/0.25, then multiply that with 1(same number),since 0.25 inch =1 mile
3.75/0.25=15
That means length=15 miles
Find width in the same way.
2.25/0.25=9
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a=15*9
a=135 sq. miles
Hope this helps you.
Answer:
135 Square Miles
Step-by-step explanation:
On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wide?
270 square miles
135 square miles
48 square miles
24 square miles
Odyssey
7.68 cal/sec to Kcal/min
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first covert cal/sect o cal/min
7.68 cal/sec x 60 seconds = 460.8 cal/min
1 Kcal = 1000 cal
divide cal by 1000 to get Kcal
460.8 cal/min / 1000 = 0.4608 Kcal/min
round answer as needed
What is the value of x. Enter your answer in the box.
A triangle with 3 sides that's a right triangle the longest one is 24 then 7 then x. What is x
X=___
Answers
[tex]a^{2} + b^{2} = c^{2}[/tex]
We already know two sides, so plug those into the equation. The longest side will be c:
[tex]a = 7, c = 24[/tex]
[tex]7^{2} + b^{2} = 24^{2}[/tex]
[tex]49 + b^{2} = 576[/tex]
Subtract 49 from both sides.
[tex]b^{2} = 527[/tex]
Square root both sides to get b by itself:
[tex] \sqrt{527} = 22.9564[/tex]
[tex]b = 22.9564[/tex]
The value of x is 22.9564.
a and b are the legs, c is the hypotenuse.
Refer to the picture :) I just drew a standard right triangle, *not to scale*.
The hypotenuse is always the longest side of a right triangle, so I plugged in 24 for c. I plugged in x and 7 for a and b.
x² + 7² = 24²
Square 7 and 24.
x² + 49 = 576
Subtract 49 from both sides.
x² = 527
Square root both sides to isolate and find x.
x = 23
Asher pays 156 every 6 weeks for piano lessons what is the price per year for piano lessons
Answers
50.8 weeks in a year / 6 weeks = 8.48 payments
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solve the area of a triangle for b and use the resulting formula to find the base of a triangle with a height of 6 ft. and an area of 9 ft. ^2.
Answers
[tex]A_\Delta=\dfrac{bh}{2}[/tex]
b - a base
h - a height
We have:
h = 6ft.and A=9 ft.²
substitute:
[tex]\dfrac{6b}{2}=9\\\\3b=9\ \ \ |:3\\\\b=3\ ft.[/tex]
Answer: b = 3ft.
PLZ HELP ASAP Using the frequency table below, find how many students received a score of 70 or better on a mathematics test.
A.19
B.12**
C.17
D.14
Score Interval Frequency
50 – 59 [2]
60 – 69 [5]
70 – 79 [5]
80 – 89 [7]
90 – 99 [2]
Answers
Here are the steps:
1. we know that 70 - 79 = 5 students 80 - 89 = 7 students 90 - 99 = 2 students.
2. ADD
3. 5 + 7 + 2= 14
4. ANSWER
A: D there are 14 students scored 70 and above!
Hope this helped! (tell me if i'm wrong or right please!!!)
Answer:
D.14
Step-by-step explanation:
To find out the answer, we need to add up all the student s that a 70 or above. 5 got 70-79, 7 got 80-89, and 2 got 90-99.Add these up and we get 14. The answer is D.14
Find three consecutive integers such that three times the sum of the first two is eight more than 5 times the third.
Answers
times= multiplication
sum= addition
more than= addition
is= equal sign
x= first integer
x+2= second integer
x+3= third integer
3(x + (x + 2))= 5(x + 3) + 8
add inside parentheses
3(2x + 2)= 5(x + 3) + 8
multiply 3 and 5 by their parentheses
(3*2x) + (3*2)= (5*x) + (5*3) + 8
multiply in parentheses
6x + 6= 5x + 15 + 8
6x + 6= 5x + 23
subtract 5x from both sides
x + 6= 23
subtract 6 from both sides
x= 17 first integer
x + 1= 17 + 1= 18 second integer
x + 2= 17 + 2= 19 third integer
CHECK:
3(x + (x + 2))= 5(x + 3) + 8
3(17 + (17 + 2))= 5(17 + 3) + 8
3(17 + 19)= 5(20) + 8
3(36)= 100 + 8
108= 108
ANSWER: The three consecutive integers are 17, 18 and 19.
Hope this helps! :)
A computer store builds custom computers by allowing customers to choose 1 of 4 different CPUs, 1 of 8 hard drives, and 1 of 3 videos cards. How many different computers are possible?
Answers
The fundamental counting principle states that the number of total options is given by multiplying the number of possibilities for each option, or
Total choices = choices x choices x ...
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The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?
Answers
perimeter = 6w + 5 units
Explanation:
Perimeter of a rectangle can be calculated as follows:
Perimeter = 2(width + length)
We are given that:
width = w units
length is 5/2 units greater than twice the width. This means that:
length = 2w + 5/2
Now, substitute in the above equation to get the expression for the perimeter as follows:
Perimeter = 2(width + length)
Perimeter = 2(w + 2w + 5/2)
Perimeter = 2(3w + 5/2)
Perimeter = 2(3w) + 2(5/2)
Perimeter = 6w + 5
Hope this helps :)
Answer:
D: 6w + 5
Step-by-step explanation:
The perimeter of a rectangle can be calculated as follows:
Perimeter = 2(width + length)
We are given that:
width = w units
length is 5/2 units greater than twice the width. This means that:
length = 2w + 5/2
Now, substitute in the above equation to get the expression for the perimeter as follows:
Perimeter = 2(width + length)
Perimeter = 2(w + 2w + 5/2)
Perimeter = 2(3w + 5/2)
Perimeter = 2(3w) + 2(5/2)
Perimeter = 6w + 5
the rules of a contest say that there is a 5% chance of winning a prize. four hundred people enter the contest. predict how many people will win a prize
Answers
400 times 0.05 is 20
20 times 20 is 400
5 times 20 is 100
therefore, 20 people
A percentage is a way to describe a part of a whole. The number of winners in the contest is 20.
What is the Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the chances of winning a prize are 5%, and 400 people enter the contest, therefore, the number of people who will be winning is 5% of the number of contestants.
[tex]\text{Number of Winner} = 5\%\ \text{of the Number of Contestants}\\\\\text{Number of Winner} = \dfrac{5}{100} \times 400 = 20[/tex]
Hence, the number of winners in the contest is 20.
Learn more about Percentages:
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The endpoints of GE are located at G(-6,-4) , and E(4,8). Using slope-intercept form, write the equation of GE.
Answers
Answer:
The line would be y = 6/5x + 26/5
Step-by-step explanation:
To find the equation, we first need to find the slope. We can do this by using the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (8 - -4)/(4 - -6)
m = 12/10
m = 6/5
Now that we have the slope, we can use that and either point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 8 = 6/5(x - 4)
y - 8 = 6/5x - 24/5
y = 6/5x + 26/5
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ!!!
Which of the following best describes the expression 9(x + 7)?
A. The sum of constant factors 9 and x + 7
B. The product of constant factors 9 and x + 7
C. The product of a constant factor 9 and a 2-term factor x + 7
D. The sum of a constant factor 9 and a 2-term factor x + 7
Answers
Answer:
THE ANSWER IS C NOT D
Step-by-step explanation:
The answer is C i got it correct on the test DON'T LISTEN TO THE PEOPLE THAT SAY D
What is the equivalently non equivalent
Answers
Answer:
1/2 and 5/8 are not equivalent
Explanation:
The term equivalent means that a number or term has the same numerator-to-denominator (proportional) ratio as another number.
1/2 and 2/4 would be equivalent because if you divide the numerator and the denominator of the second fraction by 2, the result is the 1/2.
If you divide the denominator of 5/8 by 4, the result is a 2, matching the denominator of 1/2. However, if you divide the numerator by 5, the result is 1.25, which does not match the numerator of 1/2.
Therefore, these two numbers are not equivalent.
WILL GIVE BRAINLIESTWhich of the following represents the ratio of the hypotenuse to the given side
Answers
The 'given' side is the one with the length marked. That's 6 .
Their ratio is
6√2 / 6 .
In simplest form, that's √2 . (B)
A rectangular jewelry box costs $125 to gold plate. Calculate the cost of gold plating a box which is similar in shape and that holds 8 times as much.
The answer is not $1,000 or $8,000 or $64,000
Answers
Volume is a three dimensional measurement, so the fact that it is 8 times larger tells us each dimension was 2 times larger (2 x 2 x 2=8).
Area is a two dimensional measurement, so the area would have been 2 x 2 or 4 times larger. This means the price would be 4 times as much.
$125 x 4 = $500.
It will cost $500 to gold plate the similar jewelry box.
120e^(2x)=75e^(3x)
Please solve with steps
Answers
[tex]120e^{2x}=75e^{3x}[/tex]
[tex]ln(120e^{2x})=ln(75e^{3x})[/tex]
Step 2. Apply product rule of logarithms [tex]ln(ab)=ln(a)+ln(b)[/tex]:
[tex]ln(120)+ln(e^{2x})=ln(75)+ln(e^{3x})[/tex]
Step 3. Apply the rule [tex]ln(e^x)=x[/tex]:
[tex]ln(120)+2x=ln(75)+3x[/tex]
Step 4. Solve for [tex]x[/tex]:
[tex]ln(120)+2x=ln(75)+3x[/tex]
[tex]ln(120)-ln(75)=3x-2x[/tex]
[tex]x=ln(120)-ln(75)[/tex]
Apply the quotient rule of logarithms [tex]ln(a)-ln(b)= ln(\frac{a}{b} )[/tex]:
[tex]x=ln( \frac{120}{75} )[/tex]
[tex]x=ln( \frac{8}{5} )[/tex]
We can conclude that the solution of our equation is [tex]x=ln( \frac{8}{5} )[/tex], which is approximately [tex]x=0.47[/tex].
Evaluate square root of 24 - x when x = 6 . Write the answer in simplified radical form.?
Answers
24 - 6 = 18
So we now need to find the square root of 18
If you're allowed to use a calculator, the square root is 4.242
But if you don't, let's get as close as we can:
√(9 * 2)
Because the square root of 9 is 3:
3 * √2
In a circle,which ratio is equivalent to pi?
Answers
Factor the quadratic expression Completely; -8x^2-15x+2
Answers
Answer:
(x + 2)(-8x + 1) or,
(-8x + 1)(x + 2)
Explanation:
To factor quadratic equations in the form ax² + bx + c that cannot be factored in your head, the first step is to find factors for the product of coefficient a and constant c whose sum equates to coefficient b. This may sound confusing, but it is easier in practice.
So, we find the product of -8 and 2 which is -16.
Now we list the factors of -16. I like to list them as factor pairs. These are:
1, -16, 2, -8, 4, -4, 8, -2, 16, -1
Next, we examine which combination of factor pairs has a sum of -15. These are -16 and 1. To check: -16 + 1 = -15
Then, we place these values as coefficients into the original equation as substitutes for -15x and find factor out the greatest common factor (GCF) of the equation terms:
-8x² - 16x + x + 2
(-8x² - 16x) + (x + 2)
The GCF between -8x² and -16x is -8x. The GCF between x and 2 is 1.
-8x(x + 2) + 1(x + 2)
If these binomials within the parenthesis match, then you have found the factors. The binomial within the parenthesis is one factor and the GCFs outside of each binomial are is the other factor. Thus, the factors of the original quadratic expression are:
(-8x + 1)(x + 2)
To check these factors for accuracy, we can use the FOIL method to expand the expression, combine like terms, and observe if it matches the original equation. FOIL stands for Firsts, Outsides, Insides, and Lasts, instructing which terms of each binomial are multiplied together.
Firsts: -8x(x) = -8x²
Outsides: -8x(2) = -16x
Insides: 1(x) = x
Lasts: 1(2) = 2
In an equation: -8x² - 16x + x + 2 → -8x² - 15x + 2
This is the original equation, therefore (-8x + 1)(x + 2) are accurate factors.
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Answers
Answer:
all answers are shown and pictured