Royal Canin cat food decreased the size of their cat food cans by 0.7 oz, resulting in a percent decrease of approximately 12.07%. The cost of the missing 0.7 oz of cat food can be found using a proportion and is approximately $1.34.
EquationsTo find the percent decrease in the size of the cat food cans, we can use the formula:
percent decrease = ((original value - new value) / original value) * 100
In this case, the original value is 5.8 oz and the new value is 5.1 oz, so we have:
percent decrease = ((5.8 - 5.1) / 5.8) * 100
percent decrease = (0.7 / 5.8) * 100
percent decrease = 12.07%
Therefore, the percent decrease in the size of the cat food cans is approximately 12.07%.
To find the cost of the missing 0.7 oz of cat food, we can use the proportion:
(cost / weight) = (cost / weight)
where the cost and weight on the left side of the equation represent the known values, and the cost and weight on the right side of the equation represent the unknown values. We can solve for the unknown cost by cross-multiplying:
(cost / 5.1) = ($1.52 / 5.8)
(cost * 5.8) = ($1.52 * 5.1)
cost = ($1.52 * 5.1) / 5.8
cost = $1.34 (rounded to the nearest cent)
Therefore, the cost of the missing 0.7 oz of cat food is approximately $1.34.
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2x-5y=20
What is y and what is x
Answer:
x=10 and y=4
Im not sure if this is correct but I looked it up and it said it was right
Answer:
x = 5/2y + 10y = 2/5x - 4(if you're looking for intercepts then: x = 10, y = -4)
Step-by-step explanation:
\(\sf{2x - 5y = 20\)
\(\sf{Finding~x:\)
\(2x - 5y = 20\)
\(+ 5y = + 5y\)
↪ 2x = 5y + 20
\(\frac{2x}{2} = \frac{5y}{2} + \frac{20}{2}\)
x = 5/2y + 10\(\sf{Finding~y:}\)
\(2x - 5y = 20\)
\(-2x~ = ~~~~-2x\)
↪ -5y = -2x + 20
\(\frac{-5y}{-5} = \frac{-2x}{-5} + \frac{20}{-5}\)
y = 2/5x - 4--------------------
Hope this helps!
Factor the greatest common factor. 5xy4-20x2y3
Answer:
Step-by-step explanation:
The greatest common factor of 5 and -20 is 5
x: the greatest common factor is x
y: the greatest common factor is y^3
Answer: 5xy^3(y - 4x)
What is the difference between a diameter and a radius?
Answer:
a radius is a line that goes from the center of a circle to the actual circle, it's measurement will always be half of the diameter
a diameter is a straight line that goes from any point of the circle, through the center, and then to the opposite side of the point
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?
Answer:
60 ounces.
Step-by-step explanation:
Given:
A mixture contains 5 parts of white paint for every 4 parts of blue paint.
i.e. Ratio of white paint : blue paint = 5 : 4
Quantity of White paint = 75 ounces
To find:
How many ounces of blue paint = ?
Solution:
Here, we are given the ratio of white and blue paint in the mixture.
Also, we are given the quantity of white paint in the paint can.
And we have to find the quantity of other paint in the can.
Let us use all the given statements to find the unknown quantity of blue paint.
Ratio of white paint : blue paint= Ratio of quantity of white paint: blue paint
\(\dfrac{5}{4} = \dfrac{75}{\text{Quantity of blue paint}}\\\Rightarrow \text{Quantity of blue paint} = 15 \times 4\\\Rightarrow \text{Quantity of blue paint} = 60\ ounces\)
So, the quantity of blue paint in the can is 60 ounces.
Marco has two bags of candy. One bag contains three red lollipops and
2 green lollipops. The other bag contains four purple lollipops and five blue
lollipops. One piece of candy is drawn from each bag. What is the probability
of choosing a green lollipop and a purple lollipop?
The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45
We have to given that;
One bag contains 3 red lollipops and 2 green lollipops.
And, The other bag contains four purple lollipops and five blue lollipops.
Hence, The probability of choosing a green lollipop is,
P₁ = 2 / 5
And, The probability of choosing a purple lollipop is,
P₂ = 4 / 9
Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,
P = P₁ × P₂
P = 2/5 × 4/9
P = 8/45
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Efetue as divisões indicadas.
a. 3,6 : 1,5
b. 42:0,21
c. 200:0,5
Answer:
a)
\( \frac{3.6}{1.5} = \frac{36}{15} = 2.4\)
b)
\( \frac{42}{0.21} = \frac{4200}{21} = 200\)
c)
\( \frac{200}{0.5} = \frac{2000}{5} = 400\)
I hope I helped you^_^
Tell whether this figure has rotational symmetry. If so, give each angle and direction of rotation that produces rotational symmetry.
(when the 90 next to the photo is lined up correctly the shape is in its original form)
The figure in question has rotational symmetry. with each rotational angle of 60 degrees
What is a rotational symmetry?Recall that Rotational symmetry, also known as radial symmetry, is a property in geometry where a shape looks the same after some rotation by a partial turn. The degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation
The figure looks like a star and when rotated, it gives the same shape.
The figure can be rotated 6 times to give the same shape
The sum of angles of the figure is 360 therefore each angle after rotation = 360/6 = 60 degrees rotational symmetry
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Surface area of image
The surface area of the cuboid is 3.286 cm²
What are the surface area of a cuboid?A cuboid is a solid shape or a three-dimensional shape.
Surface area is the amount of space covering the outside of a three-dimensional shape.
The surface area of a cuboid is expressed as;
SA = 2( lb + lh + bh)
length = 1 2/5 = 7/5
breadth = 5/8
height = 3/8
lb = 7/5 × 5/8 = 7/8
bh = 5/8 × 3/8 = 15/64
lh = 7/5 × 3/8 = 21/40
surface area =2( 7/8 + 15/64+21/40)
= 2( 0.875 + 0.234 + 0.525)
= 2( 1.634)
= 3.268 cm²
The surface area of the cuboid is 3.268 cm²
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Damon sold a total of 20 boxes of candy at his store on Wednesday. These boxes contained only lollipops and gumballs.
Each box held 45 pieces of candy.
He earned $2 for each piece of candy he sold.
He earned a total of $948 from the lollipops he sold.
What amount of money did Damon earn from the gumballs he sold? Be sure to use numbers and/or words to show how you got your answer.
Answer:
He earned $852 from the gumballs he sold.
Step-by-step explanation:
It says he sold 20 boxes and there are 45 pieces of candy in each box so you multiply 20 and 45 and you will get 900 so they had sold 900 pieces of candy. And from the lollipops he earned $948 the you divided by 2 cause that is how much each piece cost and that gets you 474, which are how many lollipops he sold. So now that you have the amount of lollipops he sold you have to subtract that from the total amount of candy he had, which is 900, so minus 474 from that and you get 426 pieces of gum that were sold and then multiply that by 2 because it cost 2 dollars for each piece and you get $852.
Work out the size of angle x.
42°
X
123°
Answer:
99 pls five me brainiest
Step-by-step explanation:
180-123=57
180-57-42=81
180-81=99
Identify the equations as parallel lines, perpendicular lines, or neither.
Answer:
Perpendicular
Step-by-step explanation:
A perpendicular line has an opposite slope. one of these has 5x and one has -5x, these are opposite, so they are perpendicular.
Consider the given right triangle if A=20 and b =20 then
67.77759 rounded to nearest meter
Answer:
68
Step-by-step explanation:
0.7 rounds to 1 so add 1 to 67 to get 68
A company making tires for bikes is concerned about the exact width of its cyclocross tires. The company has a lower specification limit of 22.8 millimeters and an upper specification limit of 23.1 millimeters. The standard deviation is 0.19 millimeters and the mean is 22.9 millimeters. What is the process capability index for the process? Note: Round your answer to 4 decimal places.
The process capability index for the process is 0.1754.
How to calculate the index?The first sided specification limit will be:
= (Upper specification limit - mean)/(3 × standard deviation)
= (23.1 - 22.9)/(3 × 0.19)
= 0.2/0.57
= 0.3508
The second sided specification limit will be:
= (22.9 - 22.8)/(3 × 0.19)
= 0.1/0.57
= 0.1754
The process capability index for the process is 0.1754 wine it's the lower value.
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Help? plzzzz.........
Answer:
The answer is E
Step-by-step explanation:
Ervin sells vintage cars. Every three months, he manages to sell 13 cars. Assuming he sells cars at a constant rate, what is the slope of the line that represents this relationship if time in months is along the x-axis and the number of cars sold is along the y-axis?
A. 3/13
B. 3
C. 13/3
D. 13
Answer: C. 13/3
Step-by-step explanation:
Time (in months) = xNumber of sold cars = y\(slope=\frac{rise}{run} =\frac{y}{x} =\frac{13}{3}\)
For khan academy . Need answer immediately
Answer:
y = -2x+2
Step-by-step explanation:
Answer:
y = -2x+2
Step-by-step explanation:
A die is rolled two separate times. What is the probability that the first roll
is 2, and then the second roll is an even number?
a) 1/6
b) 1/3
c) 1/36
d) 1/12
A polynomial has one root that equals 5 -7i. Name one other root of this poynomial.
Answer:
5+7i
Step-by-step explanation:
Answer:
(5 + 7i)
Step-by-step explanation:
recall that the complex conjugate root theorem states that for a polynomial with real coefficients and with a complex root a + bi, then the other root must be the complex conjugate a - bi
in our case we are given that the polynomial (which we will assume to have real coefficients) has a complex root (5 - 7i)
if we compare this with our explaination above, we can see that a = 5 and b = -7.
hence the other root must be the complex conjugate of (5 - 7i) which is (5 + 7i)
What is the value of x for 7x - 12 y = 180 / 7x = 84
eq^2: 7x=84 divide 84 by 7 which is 12.
therefore x is equal to 12. Then
1) take that 12 you got in equation 2 and substitute in equation 1 which is:
7x-12y=180
7(12)-12y=180
84 -12y=180
-12y=180-84
-12y=96 ............divide both sides with -12
-y=8 (×-1) both sides
y= -8
therefore 7(12)-12(-8)=180
someone help me with this please !
Answer:
In the attachment
Step-by-step explanation:
See attachment
a sample of 1200 computer chips revealed that 37% of the chips do not fail in the first 1000 hours of their use. the company's promotional literature claimed that more than 34% do not fail in the first 1000 hours of their use. is there sufficient evidence at the 0.05 level to support the company's claim? state the null and alternative hypotheses for the above scenario.
As per the question the required hypothesis are
Null Hypothesis, H0: p=0.72
Alternate Hypothesis, H1 : p ≠ 0.72
The null hypothesis reflects that there will be no observed effect in our experiment. In a mathematical formulation of the null hypothesis, there will typically be an equal sign. This hypothesis is denoted by H0.
The null and alternative are always claims about the population. That’s because the goal of hypothesis testing is to make inferences about a population based on a sample.
Often, we infer whether there’s an effect in the population by looking at differences between groups or relationships between variables in the sample. It’s critical for your research to write strong hypotheses.
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A pedestrian starts walking from town A to town B. At the same time, another pedestrian starts walking from town B to town A. They pass each other at noon and continue on their paths. One of them arrives at 4 PM, the other at 9 PM. How many hours had each walked before passing each other
The pedestrian who started in town A walked for 8 hours before the noon meeting, and the pedestrian who started in town B walked for 6 hours before the noon meeting.
Let's call the distance between town A and town B "D".
When the two pedestrians meet at noon, they have together covered a distance of D, which means they each have walked half the distance, or D/2.
Let's say the pedestrian who started in town A arrives at 4 PM, which means they have walked for 4 hours after the noon meeting. We can use the formula distance = rate x time, where rate is the pedestrian's speed, to find how far they have walked before the noon meeting:
distance = rate x time
D/2 = rate x (noon - 4)
D/2 = rate x (-4)
D/2 = -4rate
rate = -D/8
The negative sign indicates that this pedestrian is walking from town A to town B, in the opposite direction from the positive direction we defined earlier. The magnitude of the rate is D/8, meaning this pedestrian covers 1/8th of the distance every hour.
Similarly, we can use the same formula for the pedestrian who started in town B and arrived at 9 PM:
distance = rate x time
D/2 = rate x (9 - noon)
D/2 = rate x 3
D/6 = rate
rate = D/18
This pedestrian is walking from town B to town A, in the positive direction we defined earlier. The magnitude of the rate is D/18, meaning this pedestrian covers 1/18th of the distance every hour.
Now we can calculate how long each pedestrian walked before the noon meeting:
time = distance / rate
For the pedestrian who arrived in town A at 4 PM:
time = D/2 / (-D/8) = -4 hours
For the pedestrian who arrived in town B at 9 PM:
time = D/2 / (D/18) = 9 hours
The negative sign for the pedestrian who arrived in town A indicates that they started walking in the wrong direction, so they actually walked for 4 - (-4) = 8 hours in the correct direction before reaching the noon meeting point. The pedestrian who arrived in town B walked for 9 - 3 = 6 hours in the correct direction before the noon meeting.
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Which of the following options represents a logical first step that can be used
to prove the trigonometric identity
cos(x)/ cos(x)+sin(x)tan(x)=cos^2(x)?
Answer: Option B.
Step-by-step explanation:
Here we can start with the relation
cos(x)^2 + sin(x)^2 = 1
multiply both sides by cos(x)
cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))
now we can replace sin(x)/cos(x) = tg(x)
cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))
So the correct option is B
Zack delivers mail for the post office.everyday he walks a seven mile route.How many miles does Zack walk in one month if he works 22 days a month
If im right give me brainliest
Answer: 154
Step-by-step explanation: 22 represents days 7 represents miles he walks a day i think you to have to multiply. 22 times 7 is 154
A dance studio offers different-sized dance classes. The largest-group class cost $10 each, and the small-group class cost $15 each. Kiesha paid $110 for a total of 8 classes.
Step-by-step explanation:
keisha got the both of em 10 times 8 would be 80 and then she paid for 2 15 dollar ones
Jack ran a total of 30 miles over the course of 15 track practices. How many track practices would it take for Jack to run 44 miles? Solve using unit rates.
My brain isn’t functioning and i need this done before December 21.
Answer:
22
Step-by-step explanation:
Use a proportion.
30/15 = 44/x
30x = 15 × 44
2x = 44
x = 22
Answer:
22
Step-by-step explanation:
30 miles/ 15 sessions of tract practice
Per practice Jack is running a total of 2 miles.
So 44 miles/2 miles
22 sessions of track practice
1.Let x, y be any two numbers that satisfies the conditions x ≠0, y ≠0, and x 0
C.y/x>1
D.x/y<1
2.A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.
At least how many small machines can you fit so that it will not exceed the weight limit of the truck?
A.no more than 50
B.no less than 50
C.no less than 45
D.no more than 45
3.It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?
A.30 miles per hour
B.56 miles per hour
C.50 miles per hour
D.64 miles per hour
*please make sure you answer all the questions please and thank you.
Answer:
x and y can be any two numbers greater than zero such that y is also greater than x
D.no more than 45
C.50 miles per hour
Step-by-step explanation:
Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .
Suppose we take y= 9 and x= 3 then
9/3 > 1
3>1
Also
3/9 < 1
1/3 < 1
x and y can be any two numbers greater than zero such that y is also greater than x
2. Total weight that can be carried is 3000 pounds.
The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.
The smaller machines weigh 60 pounds
The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.
3. Total distance = Speed * time
= 48 * (40/60) = 32 miles
New distance = 32+ 8= 40 miles
New time = 48 minutes
Speed = distance / time = 40/ 48/60= 50 miles per hour
Write the number as a quotient of integers to show that it is rational.
-0.37 =
Answer:
Step-by-step explanation:
To show that -0.37 is rational, we need to write it as a quotient of two integers.
We can write -0.37 as -37/100. This is because we can convert the decimal to a fraction by placing the decimal value over 1 and multiplying both the numerator and denominator by 100 .
Therefore, -0.37 can be written as a quotient of two integers, which makes it a rational number.
I hope this helps! Let me know if you have any other questions or if there is anything else I can help you with.
SOMEONE PLEASE HELP ME ITS URGENT (PICTURE)
Answer:
Question #1
x and its opposing side are equal in length. One of the sides have no fence.Set up an equation to find x:
\(x+x+10=26\\2x=26-10\\2x=16\\x=8\)
The length of the side marked x is 8.0 m.
Question #2
New length = 10 + 1 = 11 cmNew width = xNew perimeter = old perimeter = 34 cmSet up an equation to find x
\(11+11+x+x=34\\2x=34-22\\2x=12\\x=6\)
The new width is 6 cm.