Answer:
210
Step-by-step explanation:
Divide 120 by 4 and get 30 and multiply 7 by 30 and you get 210
Final answer:
To dilute 120 cl of orange squash with a ratio of 7:4 (water to squash), you need 210 cl of water. The total mixture will be 330 cl (7+4 parts), of which 120 cl is the squash and the remainder is water.
Explanation:
The student is asking how much water is needed to dilute 120 cl of orange squash if the mixture ratio of water to orange squash is 7:4. To solve this, you need to work with ratios.
First, add the parts of the ratio together: 7 (water) + 4 (orange squash) = 11 parts in total. Now, find out how many parts of the total mixture the 120 cl of orange squash represents. Since the ratio of orange squash is 4 parts, this means that 120 cl is 4 parts of the total mixture.
We can then set up the proportion: 4 parts / 11 parts total = 120 cl / total mixture in cl. Solving for the total mixture gives us: 11 parts * 120 cl / 4 parts = 330 cl.
Finally, to find out how much water is needed, subtract the volume of orange squash from the total mixture volume: 330 cl - 120 cl = 210 cl of water.
what is the value of y2 - x2 when y = 6 and x = 5
When y = 6 and x = 5, the value of [tex]\( y^2 - x^2 \)[/tex] is 11.
To find the value of [tex]\( y^2 - x^2 \)[/tex] when y = 6 and x = 5, you simply substitute these values into the expression and calculate.
[tex]y^2-x^2=(6)^2-(5)^2\\=36-25\\=11[/tex]
Math
Can someone please explain what I need to do here to find answer?
Thanks
Answer:
C
Step-by-step explanation:
First of all their is an easier way solving this 2l/ + l^2
but how you need it is c because the base is 100 and each face is 40 how 10x8=80 80/2=40
1) if 40 sheets of paper cost $2.40 how much would 80 sheets cost
2)if 25 sheets cost $2.00 how much would 80 sheets cost
3)if 15 sheets cost $1.60 how much would 880 sheets cost
Answer:
1. Cost of 80 sheets of paper = $ 4.8
2. Cost of 80 sheets of paper = $ 6.4
3. Cost of 880 sheets of paper = $ 93.8
Step-by-step explanation:
1) if 40 sheets of paper cost $2.40 how much would 80 sheets cost
Solution:
Price of 40 sheets of paper = $2.40
Price of 1 sheet of paper = 2.40/40
Price of 80 sheets of paper = (2.40/40)*80
= $ 4.8
2)if 25 sheets cost $2.00 how much would 80 sheets cost
Price of 25 sheets of paper = $2.00
Price of 1 sheet of paper = 2.00/25
Price of 80 sheets of paper = (2.00/25)*80
= $ 6.4
3)if 15 sheets cost $1.60 how much would 880 sheets cost
Price of 15 sheets of paper = $1.60
Price of 1 sheet of paper = 1.60/15
Price of 880 sheets of paper = (1.60/15)*880
= $ 93.8
Evaluate. 7P2 this is premutations and i dont get it
Answer:
[tex]\large\boxed{_7P_2=42}[/tex]
Step-by-step explanation:
[tex]_nP_k=\dfrac{n!}{(n-k)!};\ n!=1\cdot2\cdot3\cdot...\cdot n\\\\\text{We have:}\\\\_7P_2=\dfrac{7!}{(7-2)!}=\dfrac{7!}{5!}=\dfrac{5!\cdot6\cdot7}{5!}=6\cdot7=42[/tex]
The permutation 7P2 calculates the number of ways to arrange 2 items from a set of 7. It is found using the formula nPr = n! / (n-r)!, resulting in 42 different arrangements.
The student is asking about how to calculate a permutation, specifically 7P2. Permutations are used to determine the number of ways to arrange a subset of items from a larger set, where the order does matter. To compute 7P2, we use the formula for permutations, which is nPr = n! / (n-r)!, where n is the total number of items to choose from, and r is the number of items to arrange.
To evaluate 7P2, we plug in 7 for n and 2 for r, which gives us: 7P2 = 7! / (7-2)! 7P2 = 7! / 5! 7P2 = (7 x 6 x 5!) / 5! 7P2 = 7 x 6 7P2 = 42
Therefore, there are 42 different ways to arrange 2 items from a set of 7.
What is the scale of a drawing where an 8 foot wall is two inches long?
8 feet per every 2 inches (8:2) or reduce to 4 feet per inch (4:1)
Ms. Campbell recorded the number of cars each salesperson at her dealership sold last week.
Which of these statements is true?
A. The mean of the data summarizes the number of cars each salesperson sold last week.
B. The interquartile range of the data describes the change in the total number of cars sold last week.
C. The mean absolute deviation of the data summarizes the number of cars each salesperson sold last week.
D. The median of the data describes how the number of cars sold last week by each salesperson varies.
Answer:
the answer is A
Step-by-step explanation:
a measure of center for a numerical data set summarizes all of its' values with a single number; man and median are measures of center
a measure of variation describes how the numerical data varies with a single number; interquartile range and mean absolute deviation are measures of variation
***so the mean of the data summarizes the number of cars each salesperson sold last week***
Find the surface area of the figure. Round your answer to the nearest hundredth if necessary.
This may be what you're looking for:
Which of these is an example of a non-random sample?
A.
A cereal company surveys their employees about breakfast food preference.
B.
A farmer is choosing grains of wheat from a field to test for a new flavor of cereal.
C.
Ten college students at a college, population 50,000, are chosen to taste test a new cereal.
D.
A cereal company puts a winning ticket in one box of cereal out of 100,000 boxes.
I would go for C ten college students are chosen to taste test a new cereal
I really really need help
I'm pretty sure the answer is Ronald. It might be Dennis though.
Are the triangles similar why or why not
Answer:
Yes
Step-by-step explanation:
Yes because all three sides have the same ratio
Find the center and radius of the circle x2 - 22x + y2 + 20y =4
Answer:
x² - 22x + y² + 20y = 4
x² - 22x + 121 + y² + 20y + 100 = 225
(x - 11)² + (y + 10)² = 15²
Center: (11, -10)
Radius: 15
At a local company, the ages of all new employees hired during the last 10 years are normally distributed. The mean age is 31 years old, with a standard deviation of 10 years. If you were to take a sampling of 10 employees, what is the probability your mean age will be at least 28? Round to the nearest percent.
Answer:
P = 83%
Step-by-step explanation:
In this problem we have the ages of all new employees hired during the last 10 years of normally distributed.
We know that the mean is [tex]\mu = 31[/tex] years and standard deviation is [tex]\sigma = 10[/tex] years
By definition we know that if we take a sample of size n of a population with normal distribution, then the sample will also have a normal distribution with a mean
[tex]\mu_m = \mu[/tex]
And with standard deviation
[tex]\sigma_m = \frac{\sigma}{\sqrt{n}}[/tex]
Then the average of the sample will be
[tex]\mu_m = 31\ years[/tex]
And the standard deviation of the sample will be
[tex]\sigma_m =\frac{10}{\sqrt{10}} = 3.1622[/tex]
Now we look for the probability that the mean of the sample is greater than or equal to 28.
This is
[tex]P ({\displaystyle{\overline {x}}}\geq 28)[/tex]
To find this probability we find the Z-score
[tex]Z = \frac{X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \frac{28 -31}{\frac{10}{\sqrt{10}}} = -0.95[/tex]
So
[tex]P({\displaystyle{\overline {x}}}\geq 28) = P(\frac{{\displaystyle {\overline {x}}}-\mu}{\frac{\sigma}{\sqrt{n}}}\geq\frac{28-31}{\frac{10}{\sqrt{10}}}) = P(Z\geq-0.95)[/tex]
We know that
[tex]P(Z\geq-0.95)=1-P(Z<-0.95)[/tex]
Looking in the normal table we have:
[tex]P(Z\geq-0.95)=1-0.1710\\\\P(Z\geq-0.95) = 0.829[/tex]
Finally P = 83%
point o is the center if the circle. what is the value of x? mn and mp are tangent to
114
26
66
57
Answer:
[tex]x=66[/tex]
Step-by-step explanation:
Since MN and MP are tangent to circle O, they create 90° angles at the points of intersection.
We also know that this is a quadralateral, so the interior angles add up to 360.
We can make an equation with this information.
[tex]114+90+90+x=360[/tex]
[tex]294+x=360[/tex]
[tex]x=66[/tex]
By property of tangent, the value of x is Option(C) 66° .
What are the properties of tangent ?The properties of tangent are as follows -
Any tangent when intersect to a circle at the point, it subtends an angle of 90° at the interior segment. The total sum of the interior angle of the intersection of tangent at the points is always equal to 360° . How to find the given angle in the triangle ?Given that point O is the center if the circle also given MN and MP are tangent to O.
Thus by the property of tangent, ∠OPM and ∠ONM is equal to 90° as both the tangents intersect at the points P and N .
Also from property, we know that -
⇒ ∠ONM + ∠OPM + 114° + x° = 360°
⇒ 90° + 90° + 114° + x° = 360°
⇒ 294° + x° = 360°
∴ x = 360° - 294° = 66°
Therefore, by property of tangent, the value of x is Option(C) 66° .
To learn more about property of tangent, refer -
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What is the maximum of the sinusoidal function?
Answer:
The maximum of y = sin x is 1. The amplitude of a sinusoidal function is one-half of the positive difference between the maximum and minimum values of a function.
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
please help
For the system shown below what are the coordinates of the solution that lies in quadrant II? write your answer in form (a,b) without using spaces.
x^2+4y^2=100
4y-x^2=-20
Answer:
(-6,4)
Step-by-step explanation:
The equations are:
[tex]x^2+4y^2=100\\4y-x^2=-20[/tex]
Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:
[tex]4y-x^2=-20\\x^2=4y+20\\-------\\x^2+4y^2=100\\4y+20+4y^2=100[/tex]
Now we can solve for y:
[tex]4y+20+4y^2=100\\4y^2+4y-80=0\\y^2+y-20=0\\(y+5)(y-4)=0\\y=4,-5[/tex]
So plugging in y = 4 into an equation and solving for x, we have:
[tex]x^2=4y+20\\x=+-\sqrt{4y+20} \\x=+-\sqrt{4(4)+20} \\x=+-\sqrt{36} \\x=6,-6[/tex]
So y = 4 corresponds to x = 6 & x = -6
The pairs would be
(6,4) & (-6,4)
we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.
Which reason validates the statement: "The diagonals of a rectangle are congruent"
A. Distance formula to prove AD and BC are congruent.
B. Distance formula to prove AB and CD are congruent.
C. Slope formula proving A,B,C,D are all right angles.
D. Distance formula to prove AC and BD are congruent.
Final answer:
The correct answer is D. Distance formula to prove AC and BD are congruent, as this explains why the diagonals of a rectangle, AC and BD, are always the same length.
Explanation:
The question asks which reason validates the statement: "The diagonals of a rectangle are congruent." The correct answer is D. Distance formula to prove AC and BD are congruent. In a rectangle, the diagonals are always congruent because they connect opposite corners and because a rectangle is a parallelogram, where opposing sides are equal and parallel, making the trip from one corner to the opposite across the shape the same distance, regardless of the starting and ending points. This is proven using the distance formula, which calculates the distance between two points in a coordinate plane. The diagonal AC and diagonal BD represent these distances in a rectangle.
what is the answer for
an=an–1+1
‘an’ could represent any number
Simplify the expression to get an = an + 0, or an = an.
This means that a number is equal to itself, which is true for all numbers.
5,000 is 1/10 of blank
Answer:
blank = 50,000
Step-by-step explanation:
Liang is ordering new chairs and cushions for his dining room table A new chair cost $88 and a new cushion cost $12 shipping costs $34 expression 88c + 12c + 34 gives the total cost for buying C sets of chairs and cushions simplify The expression by combining like terms
Answer:
100c + 34
Step-by-step explanation:
100c+4 that’s the answer
what value of r makes this equation true? justify your solution.
0.4r - 7 = -.3r +2.8
The answer is 14
0.4r-7=-.3r+2.8
Add 7 to both sides. -7+7=0 so it cancels on the left. 2.8+7=9.8.
0.4r=-.3r+9.8.
Add .3r to both sides. -.3r+3r=0 so it cancels on the right. 0.4r+.3r=0.7r.
0.7r=9.8
Divide 0.7 to both sides. 9.8 divided by 0.7 = 14
So r=14
Answer:
all work is pictured and shown
Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. Kelly ran at an average speed of 8 miles per hour.
When will Ava and Kelly be 3/4 mile apart?
The answer is:
It will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.
Why?To calculate how long after they start they will be 3/4 miles apart, we need to write two equations.
So, writing the equations, we have:
Calculations for Ava:
We have the following information,
[tex]v_{Ava}=6mph[/tex]
Then, writing the equation,
[tex]x_{Ava}=x_{o}+v_{Ava}*t[/tex]
[tex]x_{Ava}=x_{o}+v_{6mph}*t[/tex]
Calculations for Kelly:
We have the following information,
[tex]v_{Kelly}=8mph[/tex]
We need to calculate when Kelly will be 3/4 miles apart of Ava, so, it's position will be the Ava's position plus 3/4 miles.
Then, writing the equation,
[tex]x_{Ava}+0.75miles=x_{o}+v_{Kelly}*t[/tex]
[tex]x_{Ava}+0.75miles=x_{o}+v_{8mph}*t[/tex]
Now, substituting Ava's speed into the second equation, we have:
[tex]x_{o}+6mph*t+0.75miles=x_{o}+8mph*t[/tex]
[tex]6mph*t+0.75miles=+8mph*t[/tex]
[tex]8mph*t-6mph*t=0.75miles[/tex]
[tex]2mph*t=0.75miles[/tex]
[tex]t=\frac{0.75miles}{2mph}=0.375hours[/tex]
Hence, we have that it will took 0.375 hours for Ava and Kelly to be 3/4 miles apart.
Have a nice day!
Answer:
So what the other guy said in minutes was 22.5 minutes
Step-by-step explanation:
Sup everybody so I have a question for you guys today.
How many times shorter is one inch than one foot?
11 inches...............
there are 12 inches in 1 foot, so one inch is twelve times shorter.
What is the range of the function, f(x)=3x+4, given the domain is {-2, 4,,10, 16}
Select one:
a. {-2, 19, 40, 58}
b. {-2, 0, 2, 4}
c. {-2, 4, 8, 13}
d. {-2, 16, 34, 52}
Answer:
The range of f(x) is {-2 , 16 , 34 , 52} ⇒ answer d
Step-by-step explanation:
* Lets talk about the domain and the range of a function
- The domain is the values of x (input)
- The range is the value of y of the corresponding x (output)
∵ f(x) = 3x + 4
∵ The domain is {-2 , 4 , 10 , 16}
- To find the corresponding range substitute the values of x in f(x)
∵ x = -2
- Substitute x by -2 in f(x)
∴ f(-2) = 3(-2) + 4 = -6 + 4 = -2
∵ x = 4
- Substitute x by 4 in f(x)
∴ f(4) = 3(4) + 4 = 12 + 4 = 16
∵ x = 10
- Substitute x by 10 in f(x)
∴ f(10) = 3(10) + 4 = 30 + 4 = 34
∵ x = 16
- Substitute x by 16 in f(x)
∴ f(16) = 3(16) + 4 = 52
∴ The range of f(x) is {-2 , 16 , 34 , 52}
6 cm
4 cm
10 cm
Note: Figure is not drawn to scale.
What is the volume of the pencil holder?
A.
240 cubic centimeters
OB. 60 cubic centimeters
C.
120 cubic centimeters
D.
200 cubic centimeters
The volume of the pencil holder with dimensions 6 cm, 4 cm, and 10 cm is 240 cubic centimeters, as calculated using the formula for the volume of a rectangular prism.
Explanation:To calculate the volume of a rectangular pencil holder with the given dimensions of 6 cm, 4 cm, and 10 cm, the formula for the volume (V) of a rectangular prism should be used, which is:
V = length × width × height
Substitute the given measurements into the formula:
V = 6 cm × 4 cm × 10 cm = 240 cm³
Therefore, the volume of the pencil holder is 240 cubic centimeters.
What is the name of the Platonic solid shown below
Answer:
C.
Step-by-step explanation:
A hexahedron has 6 equal sides. Like the cube shown.
The name of the platonic solid shown is hexahedron.
What are different types of solids?Tetrahedron - A tetrahedron, also referred to as a triangle pyramid, is a polyhedron with four triangular faces, six straight edges, and four vertex corners in geometry.
Hexahedron - Any polyhedron with six faces is called a hexahedron.
Octahedron - An octahedron is a polyhedron with eight faces in geometry.
Dodecahedron - In geometry, a dodecahedron or duodecahedron is any polyhedron with twelve flat faces
The figure given in the question has clearly six flat faces and hence according to the definitions it is a hexahedron.
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Solve the equation using the zero product property -2x(5x-2)=0
X=0,2/5
X=0,2
X=0,-2/5
X=0,-2
Answer:
A
Step-by-step explanation:
Given
- 2x(5x - 2) = 0
Equate each factor to zero and solve for x
- 2x = 0 ⇒ x = 0
5x - 2 = 0 ⇒ 5x = 2 ⇒ x = [tex]\frac{2}{5}[/tex]
Solutions are
x = 0, x = [tex]\frac{2}{5}[/tex]
PLEASE SOMEONE HELP ME I WILL GIVE YOU EVERY POINT POSSIBLE
Answer:
[tex] log_{b}( {m}^{p} ) = p \: log_{b}(m) [/tex]
what is the diffrenc e between a 1 1/4 and 3/8
Answer:
7/8
Step-by-step explanation:
Answer:
7/8
Step-by-step explanation:
Evaluate the expression:
1/3 (4x3) + 2^3
Answer:
12
Step-by-step explanation:
1/3 (12) +8
4+8= 12
Answer:
12
Step-by-step explanation:
we can use PEMDAS to find the solution to the expression, PEMDAS stands for:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
we look at the expression and we see parentheses, so we solve whats inside of the parentheses
(4 x 3) = 12
1/3 (12) + 2³
now, we solve for the exponents in the expression
2³ = 2 x 2 x 2 = 8
1/3 (12) + 8
now we multiply the terms in the expression that need to be multiplied.
1/3 x 12 = 4
4 + 8
we have no division in the expression, so we skip that step and move onto addition, which will be our last step as there is no subtraction in the expression either
4 + 8 = 12
our answer to the expression is 12
Water and orange squash is mixed in the ratio 5 : 1
Find how much water is needed to dilute 120 cl of orange squash.
Answer:
600 cl
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
5 : 1
We know that there is 120 cl of orange squash so
( Water : orange squash )
5 : 1
? : 120
We are multiplying by 120 to get from 1 to 120 so we must multiply by 120 to get from 5 to ?.
So,
5 × 120 = 600
Answer:
600 cl
Step-by-step explanation:
1 unit of orange = 5 units of water
120 units of oranges = 120 x 5 = 600 units of water
600 units of water = 600 cl of water