Answer:
There are 20 cups of coffee in two pots of coffee and 36 donuts in 3 boxes of donuts
Step-by-step explanation:
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other), the direct rule of three must be applied as follow:
a ⇒ b
c ⇒ x
So [tex]x=\frac{c*b}{a}[/tex]
In this case, the rule of three can be applied as follows:
if in 1 coffee pot there are 10 cups of coffee, in 2 pots of coffee how many cups of coffee are there?[tex]amount of cups of coffe=\frac{2coffe pots*10 cups of coffee}{1 coffe pot}[/tex]
amount of cups of coffe= 20
If there are 12 donuts in 1 box, how many donuts are there in 3 boxes?[tex]amount of donuts=\frac{3 boxes*12 donuts}{1 box}[/tex]
amount of donuts= 36
There are 20 cups of coffee in two pots of coffee and 36 donuts in 3 boxes of donuts
Triangle ABC has vertices A(4, 5), B(0, 5), and C(3, –1). The triangle is translated 3 units to the left and 1 unit up. What are the coordinates of B' after the translation?
Answer:
[tex]B' = (-3,6)[/tex]
Step-by-step explanation:
Given
[tex]A(4,5)[/tex]
[tex]B(0,5)[/tex]
[tex]C(3,-1)[/tex]
Translation: 3 units left and 1 unit right
Required
Determine the new coordinates of B
Write out the coordinates of B
[tex]x = 0[/tex]
[tex]y = 5[/tex]
When a function is shifted to the left, we have to subtract the unit from the x value of the function;
Shifting by 3 units left, the new x becomes
[tex]New\ x = 0 - 3[/tex]
[tex]New\ x = -3[/tex]
When a function is shifted upward, we have to add the unit to the y value of the function;
Shifting by 1 unit up, the new y becomes
[tex]New\ y = 5 + 1[/tex]
[tex]New\ y = 6[/tex]
Hence, the new coordinates of B is
[tex]B' = (-3,6)[/tex]
Answer:
B: (-3,6)
Step-by-step explanation:
just got it right
56. In a specific region of the country, the amount of a customer's water bill, W, is directly proportional to the
average daily temperature for the month, T, the lawn area, A, and the square root of F, where Fis the family size,
and inversely proportional to the number of inches of rain, R. In dne month, the average daily temperature is
78°F and the number of inches of rain is 5.6. If the average family of four who has a thousand square feet of laws pays $72.00 for water for that month, estimate the water bill in the same month for the average family of six who
has 1500 ft of lawn.
Formula=
Solve for k
Solve for w
Answer=
Answer:
Approximately
W=132.29
Step-by-step explanation:
W=k(TA√F)/R
T=78°F
R=5.6 inches
F=4
A=1000 square feet
W=$72
Solve for k
W=k(TA√F)/R
72=k(78*1000*√4)/5.6
72=k(78,000*2) / 5.6
72=k(156,000) / 5.6
72*5.6 =156,000k
403.2=156,000k
k=403.2/156,000
=0.002585
Solve for w when F=6, A=1500, T= 78, R=5.6 inches
W=k(TA√F)/R
W=0.002585(78*1500*√6) / 5.6
=0.002585(78*1500*2.4495) / 5.6
=0.002585(286,591.5) /5.6
=740.8390 / 5.6
=132.2927
W=132.2927
Approximately 132.29
3x+5x=8 [tex]3x+5x=8[/tex]
Answer:
x = 1
Step-by-step explanation:
Given
3x + 5x = 8 ← collect like terms on left side
8x = 8 ( divide both sides by 8 )
x = 1
Does anyone know this?
Answer:
The answer is "c"
Step-by-step explanation:
Investing money in a retirement fund is part of a plan for achieving______
a. Immediate goals
b. Long term goals
c. Short term goals
d. Unrealistic goals
Answer:
B
Step-by-step explanation:
I really need help if anyone can help me plz help me right away
Answer:
C. g(x) = 4x²
Step-by-step explanation:
The function g(x) has a point (1,4) on its graph
Just plug in the values of x and y and see which of the options correct
A..............
g(x) =(4x)²4 = (4*1)²4 = 16Incorrect
B..............
g(x) = 1/4x²4 = 1/4*1²4 = 1/4Incorrect
C...............
g(x) = 4x²4 = 4*1²4 = 4Correct
D..............
g(x) = 16x²4 = 16*1²4 = 16Incorrect
Ms. Baker was measuring yarn for a project and
had 2.4 feet of red yarn. She needed this piece of
yarn cut into thirds. How long is each piece of yarn?
Answer:
2.4/3
8 Feet of yarn
This is because we're asking of one third of the original amount so we divide it by three.
Katie walks 2 ft forward and 5 ft backwards. Find her displacement traveled.
Step-by-step explanation:
It is given that, Katie walks 2 ft forward and 5 ft backwards. We need to find her displacement traveled.
The difference between final position and the initial position is equal to displacement. It is the shorted path covered.
Let forward is +x and backward is -x
Initial position of Katie = +2 ft
Final position of Katie = -5 ft
Displacement = final position - initial position
= -5 - 2
Displacement = -7 ft
So, her displacement is 7 feet in backward direction.
Need help Giving 13 points
Answer:
Read Exp:
Step-by-step explanation:
1.) 4 is the Base and 8 is the Exponent.
2.) 9^4 = 9 x 9 x 9 x 9 = 6561.
3.) (-5)^2 = -5 x -5 = 25.
4.) 3^3 = 3 x 3 x 3 = 27.
5.) (1/2)^5 = 1/2 x 1/2 x 1/2 x 1/2 x 1/2 = 0.03125
Have to change it to a simplified fraction:
* 1/32
The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
Answer:
1.54 and 1.7 I believe
Step-by-step explanation:
Answer:
The full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds
Step-by-step explanation:
To find how many pounds each tire is, divide the weight in grams by 453.592
Full steel tire:
800/453.592 = 1.76 pounds
Lighter wheel:
700/453.592 = 1.54 pounds
So, the full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds
34− 6 × 3+ 78 pemdas
Answer:
94
Step-by-step explanation:
PEDMAS
[tex]34 - 6 \times 3 + 78 \\ 34 - 18 + 78 \\ 34 + 60 \\ = 94[/tex]
Step 1 : Multiplication :
-6×3 =-18
Step 2: Addition: -18+78 = +60
Step 3: Addition : 35+60
= 94
Answer:
62
Step-by-step explanation:
Cause first is multiply 6x3 =18 so next you add 18+78 =96 then Subtract 96 -34 =62
The perimeter of a semicircle is 123.36 metres. What is the semicircle's area?
if the sides of a square measure 10 square root 6 units then find the length of the diagonal
Answer:
Length of the diagonal = 20√3 units
Step-by-step explanation:
Given:
Side of square = 10√6 units
Find:
Length of the diagonal
Computation:
Using Pythagorean theorem.
Length of the diagonal = √2(a)²
Length of the diagonal = √2(10√6)²
Length of the diagonal = √1200
Length of the diagonal = 20√3 units
Select the correct answer from each drop-down menu. Simplify. the square root of 64. I don't understand square root so if anyone could tell me how to do square root that would help.
Hey there! I'm happy to help!
Squaring a number is when you multiply it by itself. You represent this with an exponent, which is a little number above the number that you multiply by itself. When you square a number, this exponent is two.
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
7²=49
8²=64
9²=81
10²=100
The square root is basically just doing this backwards. It is finding the number that can be multiplied by itself to equal that number. You represent this with the √ symbol.
√1=1
√4=2
√9=3
√16=4
√25=5
√36=6
√49=7
√64=8
√81=9
√100=10
We know that 8 multiplied by itself is equal to 64. This means that the square root of 64 is 8.
I hope that this helps you out! Have a wonderful day! :D
What type of number is -4pi
A) whole number
B) Integer
C) Rational
D) Irrational
Answer: D
Step-by-step explanation:
Irrational numbers cannot be expressed as a ratio of two integers.
Answer:
D only
Step-by-step explanation:
Stephen is tracking how many words per minute (wpm) he reads for reading class. He is now at
112 wpm, and each week he hopes to increase
his speed by 8 words per minute.
Equation: w = 112 + 8t
t = time (weeks)
w = wpm
How many weeks will it take Stephen to reach
176 wpm?
Answer:8 weeks
Step-by-step explanation:
Answer:
Column 1 label:
✔ t
Column 2 label:
✔ 112 + 8t
Column 3 label:
✔ w
Column 4 label:
✔ (t, w)
Step-by-step explanation:
edge20
Stephen is tracking how many words per minute (wpm) he reads for reading class. He is now at 112 wpm, and each week he hopes to increase his speed by 8 words per minute.
Equation: w = 112 + 8t
t = time (weeks)
w = wpm
Label the columns for the table
Column 1 label:
✔ t
Column 2 label:
✔ 112 + 8t
Column 3 label:
✔ w
Column 4 label:
✔ (t, w)
A line segment has a length of approximately 10cm. If a compass is set to a width of 9cm, will it still be possibly to bisect the line segment?
Answer: Yes it is possible to bisect the given segment
The compass width (9) is over half of the segment length (10), so we can form the arcs needed to get the perpendicular bisector.
A box contains 10 transistors, 3 of which are defective. If 3 are selected at random, find the probability of the statements below. a. All are defective b. None are defective Answers has to be a fraction
Answer:
1. 1/120
2. 7/24
Step-by-step explanation:
n = 10
Number of defective = 3
1. Probability of all defective =
(Number of defective/n) x (number of defective -1/n -1)...(number of defective -n/n-1)
=3/10 x 2/9 X 1/8
= 6/720
= 1/120
2. probability of none defective
Since 3 are defective, those that are not defective = 7
The probability is therefore:
7/10 x 6/9 x 5/8
= 210/720
= 7/24.
please explain a 2 column proof
Answer:
2 column proof is a logical argument consisting of statements and the reasons to show why those statememts are true.
Step-by-step explanation:
A boat takes twice as long to travel 5 km upstream as it does travel 3km downstream in a river that flows at a rate of 2 kph. At what speed does the boat travel in still water?
Answer: 22 kph
Step-by-step explanation:
distance (d) = rate (r) x time (t)
UPSTREAM: d = 5 km, r = *x - y, y = 2 kph, t = 2t
DOWNSTREAM: d = 3 k, r = *x + y, y = 2 kph, t = t
*x is the speed in still water and y is the current of the water.
Upstream equation: 5 = 2t(x - 2) --> [tex]\dfrac{5}{2(x-2)}=t[/tex]
Downstream equation: 3 = t(x + 2) --> [tex]\dfrac{3}{x+2}=t[/tex]
Set the equations equal to each other to solve for x:
[tex]\dfrac{5}{2(x-2)}=\dfrac{3}{x+2}\\\\\\\text{Cross multiply:}\\5(x+2)=3\cdot2(x-2)\\\\\text{Distribute:}\\5x+10=6x-12\\\\\text{Isolate x:}\\10=x-12\\22=x[/tex]
Step-by-step explanation:
Step-by-step explanation:
distance (d) = rate (r) x time (t)
UPSTREAM: d = 5 km, r = *x - y, y = 2 kph, t = 2t
DOWNSTREAM: d = 3 k, r = *x + y, y = 2 kph, t = t
*x is the speed in still water and y is the current of the water.
Upstream equation: 5 = 2t(x - 2) --> \dfrac{5}{2(x-2)}=t
2(x−2)
5
=t
Downstream equation: 3 = t(x + 2) --> \dfrac{3}{x+2}=t
x+2
3
=t
Set the equations equal to each other to solve for x:
\begin{gathered}\dfrac{5}{2(x-2)}=\dfrac{3}{x+2}\\\\\\\text{Cross multiply:}\\5(x+2)=3\cdot2(x-2)\\\\\text{Distribute:}\\5x+10=6x-12\\\\\text{Isolate x:}\\10=x-12\\22=x\end{gathered}
2(x−2)
5
=
x+2
3
Cross multiply:
5(x+2)=3⋅2(x−2)
Distribute:
5x+10=6x−12
Isolate x:
10=x−12
22=x
a pitcher can hold 8 times as much as a glass. the pitcher holds 64 ounces which model shows this comparison.
Answer:
A model that shows a pitcher holding 8 times the amount of a glass
Step-by-step explanation:
I would need a picture of the models, but I think I can still help.
Any model that shows a pitcher holding 8 times as much as a glass is the correct model. Be sure to read carefully so you pick the right model.
The equation y = 8x shows the relationship between the holding capacity of the pitcher and glass, and x = 64/8 shows the total amount held by the glass.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the pitcher can hold x ounces
And the glass can hold y ounces
From the given problem:
y = 8x
The above equation modeled the relationship between the holding capacity of the pitcher and glass.
If y = 64
Then x = 64/8 = 8 ounces
Thus, the equation y = 8x shows the relationship between the holding capacity of the pitcher and glass, and x = 64/8 shows the total amount held by the glass.
Learn more about the linear equation here:
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Last year singer a performed for more than two times as many shows during concert tours then Team B. The number of singer a concert tour exceeded the number of shows by team B by 19. How many concert shows did each perform?
Answer:B = 18, A = B + 23 = 18+23 = 41.
Step-by-step explanation:Last year . . .
A = 2B + 5 (1)
The number . . .
A = B + 23. (2)
Equations (1) and (2) have the same left sides --- hence, their right sides are equal :
2B + 5 = B + 23.
It implies
2B - B = 23 - 5
B = 18.
ANSWER. B = 18, A = B + 23 = 18+23 = 41.
the perimeter of a square ground is 128m
find it's area
Answer:
The answer is
1024 m²Step-by-step explanation:
Perimeter of a square = 4l
Area of a square = l²
where
l is the the length of one side
To find the area we must first find the length of the square using the perimeter
Perimeter = 128m
Substitute the value into the formula for finding the perimeter and find the length
That's
[tex]128 = 4l[/tex]
Divide both sides by 4
length = 32 m
So the area of the square is
A = 32²
We have the final answer as
Area = 1024 m²Hope this helps you
which decimal number best describes a fraction 79/6
Answer:
13.2
Step-by-step explanation:
We just divide 79/6 which is equal to 13.1666667 which we can round to 13.2
Answer:
13.166667 best describes the fraction 79/6
ASAPPP How do I explain what's the difference in the meaning of the "+1" in the following equations: f(x)=2x^2+5x+1. and g(x)=2(x+5)^2+1 ??????
Answer:
The +1 in f(x) is the y intercept
The +1 in g(x) is the y coordinate of the vertex
Step-by-step explanation:
For f(x), plugging in x = 0 leads to
f(x) = 2x^2+5x+1
f(0) = 2(0)^2+5(0)+1
f(0) = 1
Showing that (0,1) is the y intercept of f(x).
The same is not true for g(x)
g(x) = 2(x+5)^2+1
g(0) = 2(0+5)^2+1
g(0) = 51
-------------------------------
The +1 for g(x) represents the y coordinate of the vertex. Recall that vertex form in general is
y = a(x-h)^2+k
with (h,k) being the vertex. This means we can quickly spot the vertex for g(x) without having to graph. The same cannot be said for f(x) as we need to complete the square to get f(x) into vertex form. Currently, f(x) is in standard form.
|-12-(-8)|= simply expression
On three science tests, Olivia has received scores of 89%, 98%, and 96%. What is the lowest score Olivia can get on her fourth and final science test to
achieve an average score of 95%?
A.94%
B.97%
C.96%
D.95%
Answer:
B
Step-by-step explanation:
To achieve an average of 95% on 4 tests, the sum of the scores Olivia gets must be 95 * 4 = 380. Right now, the sum of her scores is 89 + 98 + 96 = 283 so she must get at least a 380 - 283 = 97% on her last test.
Part of a line Has two endpoints and includes all of the
points in between
a) Point
b) Angle
c) Line segment
d) Line Segment
Answer:
C or D
Step-by-step explanation:
It is a line segment but C and D are the exact same in the question you provided.
The part of a line that has two endpoints and includes all of the line segment
What is a line segment?A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints
You can draw a line by locating any two point in space and then connecting them together.
Based on the explanation we can conclude that part of a line that has two endpoints and includes all of the line segment
Learn more on line segment here: https://brainly.com/question/18315903
what is the missing length.
Answer:
[tex] KS = 12 [/tex]
Step-by-step explanation:
Given that ∆KLM ~ ∆RSK, [tex] \frac{KL}{KR} = \frac{KM}{KS} [/tex] (similarity theorem)
KL = 65
KR = 65 - 52 = 13
KM = 60
KS = ?
[tex] \frac{65}{13} = \frac{60}{KS} [/tex]
Cross multiply
[tex] 65*KS = 60*13 [/tex]
[tex] 65*KS = 780 [/tex]
[tex] \frac{65*KS}{65} = \frac{780}{65} [/tex]
[tex] KS = 12 [/tex]
* Required
Farmer Joe separates his apple tree farm into 10 regions. He counts the number
of apples produced in two of the regions and uses that estimate to predict the
number of apples produced on the whole farm. This is sampling. *
simple
stratified
cluster
systematic
Systematic
Got it right on test
The information depicted is an example of cluster sampling.
From the information given, Farmer Joe separates his apple tree farm into 10 regions and then counts the number of apples that are produced in two of the regions and uses that estimate to predict the number of apples produced on the whole farm, this illustrates cluster sampling.
Cluster sampling is when researchers divide a population into smaller groups that are called clusters and then randomly select from the population.
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