Answer: 20 L of 33% solution and 60 L of 5% solution should be mixed
Step-by-step explanation:
0.33x + 0.05(80-x) = 0.12*80
0.33x + 4-0.05x = 9.6
0.33x - 0.05x = 9.6-4
0.28x = 5.6
x = 5.6/0.28
x = 20 L of 33% solution should be used
80-20 = 60 L of 5% solution should be used
Proof:
0.33*20 + 0.05*60 = 0.12*80
6.6 + 3 = 9.6
9.6 = 9.6
If the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?
Answer:
Step-by-step explanation:
The table shows the amount of rainfall recorded over the first 10 months of a year. Draw a line plot, if needed.
Amount of Rainfall (inches)
Part A
What is the difference between the greatest and least amounts of rainfall in a month?
Let x = the unknown.
Greatest amount= 3 1/4
Least amount = 3/4
x= 3 1/4 - 3/4 = 2 1/2 inches.
Part B
If the last 2 months of the year each have the most common amount of rainfall, how much more rain will fall for the year?
The number with the most common amount is 2 3/4.
2 3/4 + 2 3/4 = 5 1/2 inches.
how to find area of triangle
Answer:
[tex]\displaystyle A =\frac{B*H}{2}[/tex]
Step-by-step explanation:
To find the area of a triangle, we can use the formula of:
[tex]\displaystyle A =\frac{B*H}{2}[/tex]
This formula comes from the area of a rectangle, because a triangle is half a rectangle.
How to find the area of a triangle?
❒ Explanation -:Triangle :
A polygon which has three sides is called a triangle.
Formula :
Assume a rectangle ABCD and let the height be h and base be b.
If we draw a diagonal from one vertex, it will break the rectangle into two congruent or equal triangles. The area of each triangle is half the area of the rectangle.
The area of the triangle ABC is [tex]\dfrac{1}{2}[/tex] × base × height.
[tex] \star \small\boxed{ \rm{ Area \: of \: a \: triangle = \dfrac{1}{2} × Base × Height}} [/tex]
This formula comes from the area of a rectangle. A triangle is half as big as the rectangle that surrounds it, that is why the area of a triangle is one-half base times height.
The foci and the vertices of the hyperbola are labeled.
Which equation represents the hyperbola shown in the graph?
Answer is B
The answer is B and pls mark me brainiest
The equation of the hyperbola is:
(x - 3)² / 9 - (y - 2)² / 16 = 1.
To find the equation of the hyperbola with the given foci and vertices, we need to determine the center, semi-major axis (a), and semi-minor axis (b) of the hyperbola.
The center of the hyperbola is the midpoint between the two vertices:
Center = ((3 + 3) / 2, (5 + (-1)) / 2) = (3, 2).
The distance between the center and one of the vertices gives us the semi-major axis (a):
a = distance between center and vertex = 5 - 2 = 3.
The distance between the center and one of the foci gives us the distance c (the distance from the center to the focus):
c = distance between center and focus = 7 - 2 = 5.
Now, we can find the value of b (the semi-minor axis) using the relationship between a, b, and c in a hyperbola:
c² = a² + b²
5² = 3² + b²
25 = 9 + b²
b² = 25 - 9
b² = 16
b = 4.
Now that we have the center (h, k) = (3, 2), the semi-major axis (a) = 3, and the semi-minor axis (b) = 4, we can write the equation of the hyperbola in standard form:
For a hyperbola (center at (h, k)), the equation is:
(x - h)² / a² - (y - k)² / b² = 1.
Plugging in the values:
(x - 3)² / 3² - (y - 2)² / 4² = 1.
The equation of the hyperbola is:
(x - 3)² / 9 - (y - 2)² / 16 = 1.
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What is the product? (5 r 2)(3 r minus 4) 15 r squared 8 15 r squared minus 8 15 r squared 14 r minus 8 15 r squared minus 14 r minus 8
The product of the given expression in expanded form is 15r^3 - 20r^2
Product of expressionsTaking the product of expression is a way of simplifying the expression.
Given the product below:
(5r^2)(3 r - 4)
Expand
5r^2(3r) - 5r^2(4)
Simpley each term
15r^3 - 20r^2
Hence the product of the given expression in expanded form is 15r^3 - 20r^2
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A valuable watch has an original price of $x. It is sold for $5304 after its original price has been increased by 2% and then by 4%. Find x.
SHOW YOUR WORKING.
Answer:
$5416.67
Step-by-step explanation:
If A valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part
let the original price be x.
The selling price of watch is $5304 .
2% of $5304 is 2/100×5304=0.02×5304
=106.08
Now let us remove the 2% from the selling price of the watch.
$5304 - 106.8 =5197.2
4% of $5197.2 is 4/100×5197.2=0.04×5197.2
=207.888
So Selling price of watch minus percentage in increase is the original price
5304-207.888=5096.1
Hence if a valuable watch has an original price. It is sold for $5304 after its original price has been increased by 2% and then by 4%. The original price of watch is 5096.
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Can anyone help me? me please
Answer:
approx 8.5 cm
Step-by-step explanation:
Given:
Volume= 225 cm^2
Diameter= 10cm
∴Radius= 10/2= 5cm
Volume of cone= 1/3 pi r^2 h
(now substitute the values we know),
225 = 1/3 * pi * (5)^2 *h
225*3= 25*pi*h
675= 25*pi*h
675/25= pi*h
27= 22/7*h
h= 27* 7/22
h= 8.5 cm approx.
I have mentioned every minor step. Hope it helps!!
If p → q is true, then ~ p → ~ q is __________ true.
Sometimes
Always
Never
Answer:
1. If p is true and q is false, the p -> q is never true.
2. When p is false and q is true, then p or q is always true.
3. If p is true and ~ q is false, then p -> ~ q
N
is never false.
4. If p is true and q is true, then ~ p -> ~ q is always true.
5. If p->q is true and q is true, then p is
always true.
Further Explanation:
The logic gates are used here.
Here, the symbol -> is for implication. Implication p-> q means that if p is true then q must be true.
So let us look at all the questions one by one.
1. p is true and q is false, the p -> q is always, sometimes, never true.
p-> q
true -> false
The true should imply true so the given statement will never be true.
2. When p is false and q is true, then p or q is always, sometimes, never true.
false or true
We know that in or gate even if one input is true, the whole output is true. So this statement will be always true given p is false and q is true.
3. If p is true and~q is false, then P q is always, sometimes, never false.
This translates to:
true -> true
So it will never be false.
4. If p is true and q is true, then ^p -> ~q is always, sometimes, never true.
This translates to:
false false
This will always be true.
5. If p->q is true and q is true, then p is always, sometimes, never true.
If p->q is true and q is true then will always be true. "Implies to" states that in p->q, in order for q to be true p has to be true. So p will always be true.
Which word describes 5 in the number sentence shown?
5x−2=18
Term
Coefficient
Variable
Equation
Answer:
Coefficient
Step-by-step explanation:
5 is the Coefficient for x
What feedback should another lab group give during a peer review of the work? the line of best fit is reasonable because it does not go through any points. the line of best fit is reasonable because it goes through the largest cluster of points. the line of best fit is not reasonable because it does not go through any points. the line of best fit is not reasonable because it has more points below it than above it.
The feedback that should be given by another lab during peer review is based on the data contained in the work.
What is peer review?The term peer review refers a detailed analysis of the work that has been done by a scientist to determine the accuracy and reliablity of the data and the conclusions.
The feedback that should be given by another lab during peer review is based on the data contained in the work. Since the work is not shown here, we can not exactly tell the accurate peer review for the work.
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Answer:
the line of best fit is not reasonable because it has more points below it than above it.
Step-by-step explanation:
4 1/6 add 2 3/4 PLEASE
Answer: 6.91666666667, or 6 11/12
Describe how to translate the graph of y=√x to obtain the graph of y=√x+2
A.shift right 2 units
B.shift left 2 units
C.shift up 2 units
D.shift down 2 units
Answer:
D
Step-by-step explanation:
Shift down 2 units, you want to make the graph only move in the y direction and take it back to the origin
A well-known chewing gum maker wants to determine if any of its four flavors of gum are more popular than the others. A random sample of 80 people who say they chew gum regularly is asked to identify their favorite flavor of gum. Here are the results:
The appropriate null hypothesis is (b) Flavor preferences are evenly distributed across all flavors
How to determine the appropriate null hypothesis?The distribution of the gum flavors is given as:
Peppermint = 25Cinnamon = 19Wintergreen = 22Spearmint = 14The sample size is given as:
Sample = 80
From the distribution of the gum flavor, we can see that the count of each flavor are not equal i.e. uneven
This means that we can use the following statement as the null hypothesis:
Flavor preferences are evenly distributed across all flavors
Hence, the appropriate null hypothesis is (b)
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Look at this diagram:
a)
What fraction is shaded?
b)
What percentage is shaded?
⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
⚘✨ HI BRAINLY USER!! ✨
JUST CLICK THE ATTACHMENT PHOTO⊱─━━━━━━━━━⊱༻●༺⊰━━━━━━━━━─⊰
#CARRY ON LEARNING #ulzanggirlthAnswer the question below
Answer:
v=k+5
Kora is 13 yrs old when Venla is 18 yrs old
(Will give brainliest help asap pls)
A membership at a classic film center cost $75 per year.tickets to film cost members $5.50 . Which of the following statements is true of the annual cost of membership at the film center? Let y= total cost and x= number of films seen.
A. The annual cost is shown by the linear function y=x+5.50. The rate of change is 1, and the initial value is 5.50
B. The annual cost is shown by the linear function y=75x+5.60. The rate of change is 75, and the initial value is 5.50.
C. The annual cost is shown by the linear function y=80.50x. The rate of change is 80.50, and the initial value is 0.
D. The annual cost is shown by the linear function y=5.50x+75. The rate of change is 5.59, and the initial value is 75
(question in image)
i need the equation and it solved
Answer:
Option ASpeed of plane is 240 km/h, speed of wind is 50 km/hStep-by-step explanation:
With the tail wind the total speed is the sum of the speeds of plane and wind.
When into wind the total speed is the difference of speeds of plane and wind.
The first equation is
(r + w)*6 = 1740The second equation is
(r - w)*3 = 570Simplify both equations and solve the system
r + w = 1740/6 ⇒ r + w = 290r - w = 570/3 ⇒ r - w = 190Solve by elimination, add up the equations
r + w + r - w = 290 + 1902r = 480r = 240Find the value of w
240 + w = 290w = 290 - 240w = 50What is 1/2 as a fraction 1/2 btw of 80 =?
this is a math Question btw.
Step-by-step explanation:
what is 1/2 as a fraction 1/2 btw of 80 = 50%
50% is your answer
Answer:
50% is the answer
Step-by-step explanation:
1/2 of 80% = 50%
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
the answer to your question is 9 miles
The ratio of teachers to male students to female students in a school is 3:17:18 if the total number of students in the school is 630 determine the number of teachers in the school
Answer: 54
Step-by-step explanation:
First we add 17 plus 18 to dins total number of students I got 35
Then we make ratio
3/35
So we know we have total number of 630 kids then we make a ratio with no teacher so x
X/630
Lin both together then done ☑️
Geometry math work help pls
Answer:
Step-by-step explanation:
Remark
If you sweep all the way around the circle starting at 13,0, you go through 360 degrees.
The formula for that event: Circumference = 2*pi * r
If you stop after sweeping out 135 degrees, then you need to multiply by a fraction.
Formula and givens
Arc RST = (135/360) * 2 * pi * r
pi = 3.14
r = 13
Solution
Arc RST = .375 * 2 * 3.14 * 13
Answer = 30.615
Please help! Will mark brainlyest.
Answer:
D
Step-by-step explanation:
there is a curve
PLEASE HELP!
What is the value of x?
Enter your answer in the box.
x =
2√3
hope it helps...!!!
The length of a rectangle is 2 centimeters less than five times the width of a rectangle. The area of the rectangle is 16 square centimeters. Find the length and width of the rectangle.
Answer:
Length: 8 cm
Width: 2 cm
Step-by-step explanation:
Check the attachment.
i really need some help on this question
Answer:
What is the car's rate in kilometers per minute?
[tex]0.9\frac{km}{min}[/tex]
How many kilometers will the car travel in 5 minutes?
[tex]4.5\ km[/tex]
Step-by-step explanation:
If we know:
[tex]\frac{54\ km}{1\ hour}[/tex]
And there are 60 minutes in an hour:
[tex]\frac{1\ hour}{60\ minutes}[/tex]
We can do:
[tex]\frac{54\ km}{1\ hour} * \frac{1\ hour}{60\ minutes} = \frac{54\ km}{60\ minutes} = 0.9 \frac{km}{min}[/tex]
From here, we figure out the distance from minutes:
[tex]0.9\frac{km}{min} * 5 = 4.5\ km[/tex]
A factory makes circular rugs with a radius of 3.5 feet. How much braid do they need to go all the way around the outside of the rug? Use 3.14 for pi
I believe that the answer is 21.48
The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.
We have,
The formula for the circumference (C) of a circle is:
C = 2πr
where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.
In this case, the radius of the rug is 3.5 feet, so we can calculate the circumference as:
C = 2 × 3.14 × 3.5 = 21.98 feet
Therefore,
The factory would need approximately a circumference of 21.98 feet of the braid to go all the way around the outside of the circular rug.
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Write the equation of the graph in y=ab^x form.
Answer:
Step-by-step explanation:
There are 12 months in a year.
Use the drop-down menus to help write the equation that can be used to find the
number of months, m, given the number of years, y
Answer:
It is always 12 times the number of years.
Step-by-step explanation:
12 months in 1 year, 12:1
24 months in 2 years, 24:2
36 months in 3 years 36:3
and so on
which question is a statistical question
1. who is your teacher?
2. what is your favorite movie?
3. What is the age of each child currently at the zoo?
4. How many pages are in the book you are reading?
5.How many pairs of shoes do students in your school have?
please answer asap
Answer:
5
Step-by-step explanation:
Cause you can actually get multiple different answeres which you can make a statistical question on
Is the following a statistical question?
How many letters are in the English alphabet?
yes
no
There are 26 letters in the English alphabet and no it’s not a statistical question
Which model best represents the data set? exponential, because there is a relatively consistent multiplicative rate of change exponential, because there is a relatively consistent additive rate of change linear, because there is a relatively consistent multiplicative rate of change linear, because there is a relatively consistent additive rate of change
The first choice, is exponential, because there is a relatively consistent multiplicative rate of change.
What is exponential?An exponential function is a function whose value is a constant raised to the power of an argument
1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.
These are the data:
Time (min) ------ Temperature (°F)
0 ----------------------- 200
10 ---------------------- 180
20 --------------------- 163
30 --------------------- 146
40 ---------------------131
50 -------------------- 118
60 -------------------- 107
2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.
3) The other two options involve exponential models.
The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.
4) You can prove it:
i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:
y₁ = A [r]¹
y₂ = A[r]²
y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.
ii) Test some data:
180 / 200 = 0.9
163 / 180 ≈ 0.906 ≈ 0.9
146 / 163 ≈ 0.896 ≈ 0.9
131 / 146 ≈ 0.897 ≈ 0.9
118 / 131 ≈ 0.901 ≈ 0.9
107 / 118 ≈ 0.907 ≈ 0.9
As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.
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Answer:
first choice, exponential, because there is a relatively consistent multiplicative rate of change.
explanation:
because it is <3