Step-by-step explanation:
Similar triangle ratio:
15 is to 10 as AB is to 6
15/10 = AB / 6
6 * 15/10 = AB = 9 units
7 Henri Plans to sell cups of coffe at his school sports event
Henri has a hot water Container that holds 16 litres.
He needs about 200ml of hot water for each cup of coffee
a How many cups of coffee can he make from a full bottle of
water. Hens will charge 80 cents per cup of coffee he hopes
to sell 250 Cups of coffee
How
many
full Containers of water will he use.
How much mony will he make ?
Quantity of water with Henri = 16 litres
Quantify of water he will need for one cup of coffee = 200 ml
Number of cups of coffee he can make with a full cup of water :-
\( = 16 \: litres \: = 16000 \: ml\)
\( = \frac{16000}{200} \)
\( = 80 \: cups \: of \: coffee\)
So , Henri can make 80 cups of coffee with one full bottle of water .
Quantity of water needed to make 80 cups of coffee = 16,000 ml
Quantity of water needed to make one cup of coffee :-
\( = \frac{16000}{80} \)
\( = 200 \: ml\)
So , 200 ml of water is needed to make one cup coffee .
Quantity of water he needs to make 250 cups of coffee :-
\( = 200 \times 250\)
\( = 50000 \: ml\)
So , Henri needs 50,000 ml of water to make 250 cups of coffee .
Number of water containers he will use :-
\( = \frac{50000}{16000} \)
\( = 3.125 \\ = 3 \: water \: containers\)
So , Henri will use 3 full water containers to make 250 cups of coffee .
Money charged per one coffee = 8 cents
Money charged for 250 coffees :-
\( = 250 \times 8\)
\( = 2000 \: cents\)
So , Henri will make 2000 cents if he sells 250 cups of coffee .
Therefore , Henri will use 3 full containers of water to make 250 cups of coffee and he he will make 2000 cents by selling 250 cups of coffee .
Can you please help me
Answer:
Step-by-step explanation:
The answer is B
Help its a two part question. Big points ans I will give brainliest
The equation of the axis of symmetry of the parabola is equal to x = 4.
How to derive the equation of the axis of symmetry
In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:
Vertex
(x, y) = (h, k)
Axis of symmetry
x = h
If we know that h = - 4, then the equation of axis of symmetry is x = 4.
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a+6=17;a=9 please help i have homework!!!
a+6=17;a=9
We move all terms to the left:
a+6-(17a)=0
We add all the numbers together, and all the variables:
-16a+6=0
We move all terms containing a to the left, all other terms to the right
-16a=-6
a=-6/-16
a=3/8
the following items are available for use in a pan balance to measure the weight of a large rock which items will yield the greatest level of accutacy that is approximate true weight of the rock with the least error you may only use items of the kind selected and may not mix items potatoes sand bricks pennies
Pennies will yield the greatest level of accuracy when measuring the weight of a large rock on a pan balance.
To measure the weight of a large rock using a pan balance and achieve the greatest level of accuracy with the least error, you should use pennies.
Here's why:
Potatoes: They have varying shapes and sizes, which would make it difficult to achieve an accurate measurement.
Sand: It is difficult to control the amount and could lead to inconsistent measurements.
Bricks: They are too large and may not provide the required level of accuracy, as they might not have consistent weights.
Pennies: They have a uniform weight and size, making them an ideal choice for precise measurements.
To measure the rock's weight with pennies:
Place the rock on one side of the pan balance.
Place pennies on the other side of the balance until it becomes level.
Count the number of pennies used.
Multiply the number of pennies by the weight of a single penny to get the approximate weight of the rock.
Using pennies will yield the greatest level of accuracy and the least error in this scenario.
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what describes shoe size?
a. natural number
b. integer
c. rational number
d. real number
A four pack of envelopes cost $.52 what is the unit price?
Answer:
0.13
Step-by-step explanation:
9 5/9- 3 2/5= estimate the sum , difference,product and quotient
The estimated sum of 9 5/9 and 3 2/5 is approximately 13, the difference is approximately 5.84, the product is approximately 32.49, and the quotient is approximately 2.82.
To estimate the sum, difference, product, and quotient of 9 5/9 and 3 2/5, we can convert the mixed numbers into improper fractions for easier calculations.
First, let's convert 9 5/9 into an improper fraction:
9 5/9 = (9 * 9 + 5) / 9 = 86/9
Next, let's convert 3 2/5 into an improper fraction:
3 2/5 = (3 * 5 + 2) / 5 = 17/5
Now, we can perform the calculations:
Sum:
86/9 + 17/5 = (86 * 5 + 17 * 9) / (9 * 5) = 590/45
Difference:
86/9 - 17/5 = (86 * 5 - 17 * 9) / (9 * 5) = 263/45
Product:
(86/9) * (17/5) = (86 * 17) / (9 * 5) = 1462/45
Quotient:
(86/9) / (17/5) = (86 * 5) / (9 * 17) = 430/153
To simplify the fractions and estimate the results, we can approximate them to the nearest whole number or decimal:
Sum ≈ 13
Difference ≈ 5.84
Product ≈ 32.49
Quotient ≈ 2.82
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For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 35 N acts on a certain object, the acceleration of the object is 7m/s . If the force is changed to 20 N, what will be the acceleration of the object?
Answer:
4 m/s
Step-by-step explanation:
This is just a simple ratio question
35N=7M/s
20=Xm/s
We see that 7 is 1/5 of 35
20 is 4/7 of 35
4/7 of 7 is 4
NO LINKS YOU SUSSY BAKA'S
Claire power walks 1/7 of a mile in 1/63 of an hour. Compute the unit rate in miles per hour.
2 hour and 52 minute
Step-by-step explanation:
Sana makatulong ito sa inyo
If you do all of them and finish the mystery sentence you will get a thanks, 5.0/5.0 and a brainly
9514 1404 393
Answer:
THEN IT WOULD BE A FOOT
Step-by-step explanation:
The list of products begins with the numbers you already have:
2599, 14652, 61404, 17034,
46176, 67704, 14735, 19392,
28084, 23907, 11172, 23340, 3712,
10476, 63364, 23208, 14769, 40128
__
I found it tedious to compute these and do the look-up, so I wrote a little program to do it for me. Even typing the numbers and letters into the program was tedious enough.
The answer to the riddle is ...
THEN IT WOULD BE A FOOT
Select all of the ratios that are equivalent to 8:6
Answer: 3:2 and also 4:3
Step-by-step explanation:
Answer:
4:316:1224:1832:2440:3048:3656:4264:4872:5480:6088:6696:72Hope this helps :)
pls help i really need it
Answer:
.................
Step-by-step explanation:
I need help on question 27
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
If A = 136 when \(b_{1}\) = 7 and h = 16, find \(b_{2}\)
Givens:We are given the equation that we are working with:
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
We are given certain values that the variables, in this case, are equal to:
A = 136
\(b_{1}\) = 7
h = 16
Steps:Substitute the given variables in the given equation for the corresponding numbers:
A = \(\frac{1}{2}h(b_{1} +b_{2} )\)
136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))
We know all the values in the equation except \(b_{2}\). In order to find \(b_{2}\) we must isolate it on one side of the equation
136 = 8 (7 + \(b_{2}\))
\(\frac{136}{8}\) = \(\frac{8 (7 + b_{2}) }{8}\)
17 = 7 + \(b_{2}\)
17 - 7 = 7 - 7 + \(b_{2}\)
10 = \(b_{2}\)
Check:If \(b_{2}\) is equal to 10 then if we plug it back into the given equation both sides of the equation should equal each other. Remember to use PEMDAS
136 = \(\frac{1}{2}\) * 16 (7 + \(b_{2}\))
136 = \(\frac{1}{2}\) * 16 (7 + 10)
136 = \(\frac{1}{2}\) * 16 (17)
136 = 8 (17)
136 = 136
\(b_{2}\) = 10
Find the average value of f(x) = √81 - ² over the interval [0, 9].
Write the exact answer.
fave
1
Hint: The area of a quarter circle is ².
4
Submit Question
The average value of f(x) over the interval [-14, 14] is 0.
The average value of the function f(x) = 14 - |x| over the interval [-14, 14] we need to use the formula:
\(f_{ave\) = (1/(b-a)) × integral(a to b) f(x) dx
a and b are the limits of integration.
a = -14 and b = 14.
So we have:
\(f_{ave\) = (1/(14 - (-14))) × integral(-14 to 14) (14 - |x|) dx
Simplifying the integral get:
\(f_{ave\) = (1/28) × integral(-14 to 0) (14 + x) dx + (1/28) × integral(0 to 14) (14 - x) dx
Evaluating the integrals get:
\(f_{ave\) = (1/28) × [(14x + (x²)/2)|(-14 to 0) + (-14x + (x²)/2)|(0 to 14)]
\(f_{ave\) = (1/28) × [(0 + 98) + (-196 + 98)]
\(f_{ave\) = (1/28) × 0
f_ave = 0
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Matt ran 8 laps in 1,256 seconds. If he ran each lap in the same amount of time , how many seconds did it take him to run 1 lap
Matt takes 157 seconds to run 1 lap.
What is ratio?Ratio basically compares quantities, that means it shows value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to run 8 laps = 1,256 seconds
To find time taken to run 1 lap, use the ratio property,
8 laps = 1256 seconds
1 lap = 1256/8 seconds
1 lap = 157 seconds
Matt takes 157 seconds to run 1 lap.
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Given m||n, find the value of x.
>m
(7x-1)
(9x+5)
>n
Answer:X=11
Step-by-step explanation:
Angles on a straight line sum up 180°
=>Let take line t (the diagonal) as our straight line
Therefore ; (7x – 1)° + (9x + 5)° = 180°
=>(7x + 9x + 5 – 1) = 180
=> 16x + 4 = 180
=> 16x = 180 – 4
=> 16x = 176
=> (16x)/16 = (176/16)
=> x = 11
HOPE MY EXPLANATION HELPED YOU
Please solve with explanation (high points)
The value of ∠AKL and ∠AKC are both 45° each. The justification is that lines AK and KC both split the regular polygons BKLC (rectangle) and ABCD in two. The sum of angles in a right angle is 90°, hence half of that is 45°
What is a regular polygon?A regular polygon is one that is two-dimensional and can be created at least three lines together.
Because, the sum of angles in a right angle is 90°, hence half of that is 45°. Therefore, the values of ∠AKL and ∠AKC are both 45° each.
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When you select a random person, the probability that this person will go to Ches
Tahoe restaurant is 75% (Hint: Review Binomial Probability Distribution).
a. You randomly select 8 people. What is the probability that exactly 3 people
from that group will go to Ches Tahoe restaurant? (You must show the
steps to get the full credit) (15 points)
b. You randomly select 50 people. Use the normal approximation to the binomial
distribution find the probability that at least 35 people will go to Ches Tahoe
restaurant (Hint: mean = np: stand dev = sqrt(npq), where p + y = ?). (No
steps necessary - just write the answer) (5 points)
Answer: a= 0.0231
Step-by-step explanation:
n=8
p=0.75
q=1 - 0.75 = 0.25
(p=x)
p(5) = 8C5 (0.25)^5 (0.75)^8-5
p(5)= 0.0231
Or 2.31%
The probability that exactly 3 people from that group will go to Ches Tahoe restaurant is 2.11%
The probability that at least 35 people will go to Ches Tahoe the restaurant is -1.88.
Given that,
When you select a random person, the probability that this person will go to Ches Tahoe restaurant is 75%,
We have to determine,
You randomly select 8 people. What is the probability that exactly 3 people
from that group will go to Ches Tahoe restaurant.
You randomly select 50 people. Use the normal approximation to the binomial distribution to find the probability that at least 35 people will go to Ches Tahoe restaurant.
According to the question,
When you select a random person, the probability that this person will go to Ches Tahoe restaurant is 75%,
You randomly select 8 people.
Then,
The probability that exactly 3 people
from that group will go to Ches Tahoe restaurant is,
\(P(x) = ^nC_x \times q^x \times p^{n-x}\)
Where n = 8, x = 5, q = 1 - 0.75 = 0.25, and p = 0.75
Substitute all the values in the expression,
\(P(5) = ^8C_5 \times (0.25)^5 \times (0.75)^{8-5}\\\\P(5) = \dfrac{8!}{(8-5)!. 5!} \times 0.00097 \times (0.75)^3\\\\P(5) = \dfrac{8 \times 7 \times 6}{3 \times 2} \times 0.00097 \times 0.42\\\\P(5) = 0.2118\\\\P(5) = 2.11 \ Percent\)
The probability that exactly 3 people from that group will go to Ches Tahoe restaurant is 2.11%.
You randomly select 50 people. Use the normal approximation to the binomial distribution
Then, the probability that at least 35 people will go to Ches Tahoe restaurant is,
Mean for that at least 35 people will go to Ches Tahoe restaurant is,
\(\mu = n \times p \\\\\mu = 8 \times 0.75\\\\\mu = 6\)
And standard deviation that at least 35 people will go to Ches Tahoe restaurant is,
\(\sigma = \sqrt{n \times p \times q} \\\\\sigma = \sqrt{0.75 \times 0.25 \times 8}\\\\\sigma = \sqrt{1.5}\\\\\sigma = 0.53\)
Normal approximation to the binomial distribution is,
\(z = \dfrac{x-\mu}{\sigma}\\\\z = \dfrac{5-6}{0.53}\\\\z = \dfraac{-1}{0.53}\\\\z = -1.88\)
The probability that at least 35 people will go to Ches Tahoe the restaurant is -1.88.
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solve the equation x to the power of 2=10
Answer:
√10,−√10
Step-by-step explanation:
award brainliest
7+(24/6)+(3²/3)+10 need help solveing it out
Answer: 24
Step-by-step explanation:
7+(24/6)+(3²/3)+10
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.
7+24/6+3^1+10 Also when I say 3^1 I mean 3 and the exponent is 1
Divide 24 by 6 to get 4.
7+4+3^1+10
Add 7 and 4 to get 11.
11+3^1+10
Calculate 3 to the power of 1 and get 3.
11+3+10
Add 11 and 3 to get 14.
14+10
Add 14 and 10 to get 24.
Find the X and Y intercept of line 2x+3y=-12
X-intercept -
Y- Intercept-
Answer:
Let us rearrange 3y=-2x-12y=-2/3x-4 So y intercept is -4 I also do exams and quizzes if your interested :)What is the opposite reciprocal of 2/3?
Answer:The reciprocal of 2/3 is 3/2. The product of 2/3 and its reciprocal 3/2 is 1.
Step-by-step explanation:
The tax rate where Mason lives is 8.5%. He spends $24.56 on school
supplies. How much is the tax? How much does he pay in all? Round
your answer to the nearest cent.
Answer: $10.26
Step-by-step explanation: tax = 8.5%
So tax = $10.26
What's the scale factor?
Answer:
2.5
Step-by-step explanation:
25 / 10 = 2.5
Check with 6in
6 x 2.5 = 15
Answer:
15/6
Step-by-step explanation:
the scale factor is one of the sides of rectangle EFGH over the corresponding side of rectangle ABCD. In this case, we know the two sides AB and GH so we can use them since they also correspond. Therefore, the scale factor from ABCD to EFGH is going to be 15/6.
Hope this helps!!
Simplify Negative 3 over 2 divided by 9 over 6. −4 −1 4 1
Answer:
Step-by-step explanation: -3/2 divided by 9/6
= -3/2 multiply (to divide fractions we multiply by their recipical) 6/9
Then, simplify
= -3/3 = 1
Answer: -1
Hope this helps lol
The simplified result is -1. The correct option is b.
Given that:
Expression, -3/2 ÷ 9/6
To solve the given expression, follow as:
Rewrite the division as multiplication by the reciprocal of the second fraction.
-3/2 ÷ 9/6 = -3/2 × (6/9)
Now, simplify the fractions:
-3/2 × (6/9) = -3/2 × (2/3)
-3/2 × (6/9) = - (3 × 2)/(2 × 3)
-3/2 × (6/9) = -6/6
Finally, the simplified expression is -6/6. However, further simplify it by dividing the numerator and denominator by their greatest common divisor, which is 6:
-6/6 = -1
So, the simplified result is -1. The correct option is b.
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Complete question:
Simplify Negative 3 over 2 divided by 9 over 6.
a. −4
b. −1
c. 4
d. 1
Determine whether the statement is true or false.
(Bob) ≤ {Bob, Carol, Ted, Alice}
A.True
B.False
Help
The statement "(Bob) ≤ {Bob, Carol, Ted, Alice}" is False.
How to determine the truth value of the statementFrom the question, we have the following parameters that can be used in our computation:
Bob) ≤ {Bob, Carol, Ted, Alice}
Here, (Bob) is a singleton set which contains the element "Bob", while {Bob, Carol, Ted, Alice} is a set.
In general, the notation "A ≤ B" is used to indicate that set A is a subset of set B, which means that all elements of A are also elements of B.
Therefore, in this case (Bob) is not a subset of {Bob, Carol, Ted, Alice} because it is not a set of distinct elements, it is just a single element.
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Your teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each. Let x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators. Write an inequality that represents the number of each type of calculator she can buy.
The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800
Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.
Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.
The inequality that represents the situation becomes as;
25x + 65y ≤ 800
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Solve the system of equations by the addition method.
1 - 3x = -5y - 8
6x
3y = -5
\(-3x = -5y -8~~~....(i) \\\\6x -3y = -5 ~~......(ii)\\\\\text{Multiply equation (i) by 2 and do (i) + (ii):}\\\\2 \cdot (-3x) + 6x -3y = 2(-5y-8) + (-5)\\\\\implies -6x +6x -3y = -10y -16 -5 \\\\\implies -3y = -10y -21\\\\\implies -3y +10y =-21\\\\\implies 7y = -21 \\\\\implies y = -\dfrac{21} 7 = -3\\\\\text{Substitute}~y =-3~ \text{in equation (ii):} \\\\6x - 3(-3) = -5\\\\\implies 6x +9 = -5\\\\\implies 6x = -5 -9 = -14\\\\\implies x = -\dfrac{14}6 = - \dfrac{7}3\\\)
\(\text{Hence}~ (x,y) = \left(-\dfrac 73, -3 \right)\)
Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $109. Two adults and three children must pay $77. Find the price of the adult's ticket and the price of a child's ticket.
If you still need the answer it's in the picture