Answer: 3.375
Step-by-step explanation:
27 divided by 8 equals 3.375
Assuming each of the 8 person gets equal share of the whole 27 litre lemonade, the amount of lemonade each person would get is 3.375 litres.
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b = a[/tex] divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex] )
For this case, we're specified that:
Amount of lemodnade Carrie made = 27l itresNumber fo people in which this lemonade will be divided = 8Assuming that they all get equal share and we want to know the amount each person will get, we get:
Amount of lemonade each of those 8 person would get = 27 litres / 8
[tex]27/8 = 3.375[/tex]
Thus, each person gets 3.375 litres of the considered lemonade.
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Lily wants to do fencing around a circular garden that has a radius of 70m. If the cost of fencing is $12 per meter, find the total cost of fencing for the entire garden (use pi=22/7
Answer:
$5280
Step-by-step explanation:
Since the radius of the circle is 70m, the perimeter or circumference of the circle is 2πr --> 2 * 70 * 22/7 which is 440 meters. Since each meter of fencing costs $12, the total cost of the fencing is $5280
HELP QUICK EASY QUESTION IM JUST DUM
A factory has 10 pounds of red dye for its marbles. Each batch of
marbles uses 0.2 pound of red dye.
a. Juan says that the factory can make 5 batches of marbles with
the 10 pounds of dye. Explain why his statement is not reasonable.
Answer:
10 ÷ 0.2=50
Step-by-step explanation:
10 lbs in total. Each batch uses 0.2 lbs.
We can find how many batches can be made by dividing 10 by 0.2.
10 ÷ 0.2=50
Juan is incorrect because if they could only make 5 batches then they would have only had 1 pound of red dye available.
They have 10 pounds of red dye available to make marbles, and if each batch takes only 0.2 lbs of it, then they can make 50 batches of marbles.
An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Answer:
2(7x-3)=9
14x-6=9
14x=9+6
14x=15
x=15/14
Hey there!
Let's solve this equation!
We have
2(7x-3)=9
Use the Distributive Property & distribute 2:
14x-6=9
Now, add 6 to both sides:
14x=15
Divide both sides by 14:
x=15/14
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
One side of a triangle is 5 units longer than a second side. The ray bisecting the angle formed by these sides divides the opposite side into segments that are 7 units and 9 units long. Find the perimeter of the triangle. Give your answer as a reduced fraction or exact decimal
Please explain your answer.
The perimeter of the triangle described in statement has a measure of 56 units long.
How to determine the perimeter of a triangle
After a quick though careful reading, we construct a triangle based on all information given in the statement, based on the fact that the longest segment is adjacent to the longest missing side. Since both sides have two angles with the same magnitude, then we have the following ratios:
[tex]\frac{x}{7} = \frac{x+5}{9}[/tex] (1)
Now we solve the expression for x:
9 · x = 7 · x + 35
2 · x = 35
x = 17.5
And the perimeter of the triangle is determine by summing the three sides:
p = 9 + 7 + (17.5) + (17.5 + 5)
p = 56
The perimeter of the triangle described in statement has a measure of 56 units long. [tex]\blacksquare[/tex]
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Use the distributive property (expand) to write an equivalent expression for: 3(4x-2t). Type your answer ( I NEED THIS RIGHT AWAY PLS)
Answer:
The distributive property here is to just multiply each value by tree number outside the parenthesis.
3 ( 4x - 2t)
12x - 6t
That would be your answer.
Mathamatics What decimal is being represented by the decimal grid?
100/100 + 100/100 + 26/100 = 2 + 0,26 = 2,26
Solve for x.
0.2x – 3.2
= 1.8
1
5
X = ?
Answer:
X = 25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
The angle of elevation to a nearby tree from a point on the ground is measured to be 65 degrees. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
102feets
Step-by-step explanation:
sin 65=92÷x
0.906=92÷x
x=102
Rotate shape A 90° clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?
Step-by-step explanation:
(3,3)====(3,-3)
(3,2)====(2,-3)
(5,2)====(2,-5)
Which of the following is not an exponential function?
i need help with this 3n-4=17 show work
Answer:
The value of n = 7
Step-by-step explanation:
=> 3n-4=17
=> 3n = 17+4
=> 3n = 21
=> n = 21/3
=> n = 7
Answer:
n=7
Step-by-step explanation:
1. Solve
3n-4=17
3n-4+4=17+4
3n=21
3n/3=21/3
n=7
2. Check
3x7-4=17
21-4=17
17=17
Correct!
3. Answer
n=7
multiply .( p + q ) ( p + q )
Answer:
[tex](p + q)(p + q) \\ = {p}^{2} + pq + pq + {q}^{2} \\ = {p}^{2} + {q}^{2} + 2pq \\ = {(p + q)}^{2} \\ thankyou[/tex]
Kimberly has 2 1/3 bottles of milk in her refrigerator.
She used 3/4 bottle in the morning and 1 1/8 bottle in the afternoon.
How many bottles of milk does Kimberly have left over?
Answer:
1 3/20
Step-by-step explanation:
12. A bakery has five different types of cookies in its display case as listed.
. Chocolate chip
. Oatmeal raisin
• Peanut butter
• Sugar
• Macadamia nut
If Cameron selects one cookie from the display case at random, what is the probability that it will be a peanut butter or sugar cookie?
Answer:
2/5
Step-by-step explanation:
Information we need to solve
Portion of peanut butter cookiesPortion of sugar cookiesTotal number of cookiesProbaility
No. of sugar and peanut butter cookies / Total cookies1 + 1 / 52/5why are the cars values modeled by exponential functions and not linear function?
Question 1
The purpose of the sales director's study is to determine whether attending the training program caused an increase in sales
for representatives from the two regions. So the sales director collected sales data from both groups (those receiving training
and those receiving no training) for three months after the one-month program and compared the number of orders secured
by those who attended the training program with the number of orders secured by those who didn't attend.
Part A
? Question
Select the correct answer from each drop-down menu.
because a treatment
applied to the sales
The sales director conducted
representatives
This is the best statistical study for this situation because the sales director is trying to establish
Based on the above scenario, the sales director conducted an experiment.
Because a treatment was applied to the sales representatives.The the best statistical study for this situation because the sales director is trying to establish correlation.What is an experiment?An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.
In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.
See full question
Part A.
The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.
This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.
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find the value of x in the triangle below
Answer:
√80 (Option A)⠀
Step-by-step explanation:
⠀
This is Right Angled Triangle.⠀
We'll solve this using the Pythagorean Theorem.
Let,
x be AC, where AC is the Hypotenuse.4 be AB, where AB is the Perpendicular.8 be BC, where BC is the Base⠀
We know that,
[tex]{ \longrightarrow \pmb{ \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = (4) {}^{2} +( 8) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 16 +64 }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 80 }}[/tex]
[tex]{ \longrightarrow \it\pmb{ \qquad x {} = \sqrt{80} }}[/tex]
⠀
Therefore,
The value of x is √80The figure is a right angled triangle , where the value 4 is perpendicular , 8 is base and x is hypotenuse.
So, By Pythagoras theorem
[tex]x {}^{2} = 4 {}^{2} + 8 {}^{2} [/tex]
[tex]x = \sqrt{16 + 64} [/tex]
[tex]x = \sqrt{80} [/tex]
What is the solution to y=-2x+7 and y=5x-7
Answer:
x-2,y= 3, it can also be written as (2 ,3)
Step-by-step explanation:
2x-7y=5x-7-2x-7=5x-75x+2x=
7+77x=14x=2y=5x-7=5*2-7=10-..
HELP PLEASE I REALLY SUCK AT MATH
Answer:
D is the answer because 4 goes into all of them.
2-y^2=-14 solve for y express answer as an integer or in simplest radical form
Answer:
8
Step-by-step explanation:
y^2=-16
y= -16/1 % 2/1
y=-16/1 % 1/2
y = 8
Answer:
y=4
Step-by-step explanation:
its -y^2=-16. square root both sides to get rid of the exponent and it gives you -y=-4 which is the same as y=4
how do you do one step equations?
if the surface area of a sphere is 48.3cm^2, find its diameter. PLEASE HURRY
Answer:
Step-by-step explanation:
The diameter to answer 3.92 A=4 pi r2 d=2r
4) Aníka grows vegetables and sells them at a farm stand. She gives a discount to local restaurants.
The table shows the restaurant's price,p. Of buying vegetables with a regular price of r dollars.
Regular price in dollars (r)
40
45
50
55
Restaurant's price in dollars (p)
32
37
42
47
• Write an equation that represents the relationship.
С
응
р
8
Answer:
p = r-8
Step-by-step explanation:
40-8=32
45-8=37
50-8=42
47-8=47
each step goes down by the same amount, so anika gives an 8 dollar discount to the local restaurants
Please Help! Will Give Brainlest!
Answer:
y = - 1
Step-by-step explanation:
the midline is positioned midway between the maximum and minimum values , that is
maximum value = 2 and minimum value = - 4 , then
y = [tex]\frac{2-4}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
equation of midline is y = - 1
The amount of garbage produced in the United States varies directly with the number of people who produce it. It is estimated that on average 200 people produce 50 tons of garbage annually. Approximately how many tons of garbage are produced each year by 100,000 people?
A. 800 tons
C. 125,000 tons
B. 25,000 tons
D. 400,000 tons
Answer:
B. 25,000 tons
Step-by-step explanation:
The equation is x(tons of garbage) = 1/4y(people). In this question, the y is given (100,000). using the equation, 1/4 of 100,000 is 25,000.
PLEASE HELP THIS IS HARD
An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).
1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
What is the probability of rolling two numbers with a sum that is less than 7?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
5/12
Step-by-step explanation:
1 (1,1) (1,2) (1,3) (1,4) (1,5) -5
2 (2,1) (2,2) (2,3) (2,4) -4
3 (3,1) (3,2) (3,3) -3
4 (4,1) (4,2) -2
5 (5,1) - 1
I took each row from the table and deleted the die rolls that added up to less than 7.
(In row 1 there were 5 rolls, in row 2 there were 4 rolls, and so on)
Then add the number of rolls. (5+4+3+2+1= 15)
Find the total number of possible rolls [(6)(6)=36]
Put them in fraction form, rolls that are less than 7/total number of rolls
You get 15/36
Reduce the fraction by adding the numerator and the denominator by 3.
Your final answer is 5/12.
If two angles are supplementary and congruent, what is the measure of each angle?
100°
180°
90°
45°
Answer:
90
Step-by-step explanation:
supplementary angles equal 180 degrees and 90+90=180
Answer:
90°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°.
Congruent means the angles are equal to each other.
Since there are two angles, and they have to be equal to each other, we can divide 180° by 2 to find the measure of each angle.
180° / 2 = 90°
Both angles have a measure of 90°.
In circle S with the measure of arc \stackrel{\Large \frown}{RT}= 156^{\circ} RT ⌢ =156 ∘ , find \text{m} \angle RSTm∠RST
The measure of arc RT in the circle S is about 60 degrees.
What is a circle?A circle is the locus of a point such that the distance from its fixed point is always constant.
The question is not complete. A similar question is attached.
From the diagram:
arc RT = 2 * ∠RUT(angle at circle center is twice angle at circumference)
arc RT = 2 * 30
arc RT = 60°
The measure of arc RT in the circle S is about 60 degrees.
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A chocolatier makes chocolate bon-bons in the shape of a sphere with a diameter of 2 cm. The chocolate used in the bon-bons has a density of 1.33 g/cm^ 3 If the chocolate used costs $0.04 per gram, how much would the chocolate for 110 bon bons cost , to the nearest cent?
The total amount it would cost to make 110 bon bons given the cost per gram is $24.52.
What is the total amount it would cost to make 110 bon bons?The first step is to determine the gram used in making the chocolate.
Gram = density x volume
Volume = 4/3πr³
4/3 x 22/7 x (2/2)³ = 4.19cm³
Gram = 4.19cm³ x 1.33 = 5.57 g
Cost of 110 bon bons = 5.57 x 0.04 x 110 = $24.52
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Sofia has been saving money to buy a new computer. For her birthday, Sofia’s mother gave her twice what she had already saved. Now she has $135.
How much money did Sofia have before her birthday ?
Answer:
67.5
Step-by-step explanation:
135/2=67.5
answer is $67.50