Answer:
Step-by-step explanation:
a ) Let the volume required be v .
v x .8 + 500 x .3 / ( v + 500 ) = .7
.8 v + 150 = .7 v + 350
.1 v = 200
v = 2000 mL
b )
Let the volume of solution A required be v . The volume of solution of B required will be 100 - v
v x .8 + ( 100 - v ) x .3 / 100 = .5
.8 v + 30 - .3 v = 50
.5 v = 20
v = 40 mL
volume of solution B = 60 mL .
c )
It is not possible because 90 % is more than 80 % the concentration of solution A . Any mixture will have concentration less than 80 % .
volume of solution B = 60 mL
Find the area of a circle with a radius of 7 meters.
Step-by-step explanation:
Area of a circle = πr^2 = π(7)^2 = 49πm^2.
Answer:
153.94 meters
Step-by-step explanation:
A= [tex]\\\pi[/tex][tex]r^2[/tex]
[tex]A=\pi \\[/tex][tex]7^2\\[/tex]
[tex]7^2 = 49[/tex]
[tex]\pi[/tex] x [tex]49 = 153.94[/tex]
Scott imports a car from Japan for $12,500. He places an advertisement to sell the car in the newspaper and sells it for $26,800 How much profit has he made ?
Answer:
14,300
Step-by-step explanation:
Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because
4 + 8 = 12 and 1 + 8 = 9. Is Kareem correct? Explain how you know.
Answer:
because the way she asked it and the way she put in in form
Kareem is incorrect the ratio of 4:1 can never be equal to the ratio of 12:9.
What is a ratio?In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number. The fraction is defined as the division of the whole part into an equal number of parts.
It is given that Kareem says that the ratio 4:1 is equivalent to the ratio 12:9 because 4 + 8 = 12 and 1 + 8 = 9. Calculate the ratio now.
The above statement is wrong the ratio will be calculated as:-
12 / 9 = ( 3 x 4 ) / ( 3 x 3 )
Take 3 commons from the numerator and the denominator of the ratio.
= 4 / 3
Therefore, Kareem is incorrect the ratio of 4:1 can never be equal to the ratio of 12:9.
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Diego needs to put down sod on a yard that measures 30 feet by 45 feet. Company A says it can do the job for $3.90 per roll of sod, where one roll of sod is a rectangle with dimensions of 2 feet by 5 feet Company B says it can do the job for $150.00 per pallet that covers 450 square feet plus a $45 one-time dellvery charge. Which company is a better deal ? How much will Diego save?
Answer:
Company B is the better deal. Diego will save $31.5.
Step-by-step explanation:
First, find the area of the rectangle: 45*30=1350 sq.ft.
Next, find out how much it will cost for Company A: $3.9 for 2 x 5 ft (10 sq.ft)
Divide 1350 by 10 to see how many of their sod rolls will fit into his yard=135.
Multiply $3.9 by 135=526.5$
Do the same with Company B: $150 for 450 sq.ft plus $45 delivery.
Dived 1350 by 450 to see how many rolls= 3
Multiply $150 by 3= $450, then add $45= $495
Subtract Company B's $495 from Company A's $526.5= $31.5 <-how much Diego saved.
Diego will save $31.50 by choosing Company B instead of Company A.
What is Algebra?For business A:
The yard's entire square footage is calculated as,
⇒ 30 x 45
⇒ 1,350 square feet
The total area covered by each roll of sod must then be determined in square feet is calculated as,
⇒ 2 x 5
⇒ 10 square feet per roll
The total quantity of sod rolls required is calculated as,
⇒ 1,350 / 10
⇒ 135
The price of each roll of sod is $3.90, making the total price of the sod calculated as,
⇒ 135 x $3.90
⇒ $526.5
For business B:
The garden is still 1350 square feet in size overall. Pallets have a surface area of 450 square feet each, thus a total of:
⇒ 1,350 / 450
⇒ 3
The price of the sod is $150.00 per pallet, making the total price calculated as,
⇒ 3 x $150
⇒ $450
In addition, there is a $45.00 one-time shipping fee. Therefore, Company B's overall cost is calculated as,
⇒ $450.00 + $45.00
⇒ $495.00
We can see by comparing the two options that Company B is the better value because it is less expensive than Company A. Diego will save:
⇒ $526.50 - $495.00
⇒ $31.50.
Diego will save $31.50 by choosing Company B instead of Company A.
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Write the mixed number as a fraction. Write the fraction as a mixed number.
[tex]8 \times \frac{1}{3} [/tex]
A muffin recipe calls for 3 cups of flour for 24 muffins. If you want to make 108
muffins, how many cups of flour will you need? *
Answer:
13.5
Step-by-step explanation:
3 cups for 24 muffins
x cups for 108 muffins
x=(108*3)/24
x=13.5
which is not a correct name to name an angle
Answer:
<TGE
Step-by-step explanation:
it must connect
Is figure B a scaled copy of figure A?
Answer:
Yes
Step-by-step explanation:
Figure B is doubled in size
Answer:
Yes
Step-by-step explanation:
Because every length of each of the shape is just doubled:
Bottom of figure A=4
Bottom of figure B=8
Right Side of figure A=2
Right Side of figure B=4
Left Side of figure A=2
Left Side of figure B=4
Top of figure A=3
Top of figure B=6
Grissom draws different sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the length of its diameter. What is the independent quantity in the situation?
Answer:
The independent quantity in the situation is the length of the diameter.
Step-by-step explanation:
Consider a relationship between two variables.
Of the two variables one variable is dependent upon the other.
Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variable values are changed.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.
In this case, it is provided that Grissom knows there is a relationship between the volume of the sphere and the length of its diameter.
With every sphere that Grissom draws, the volume of the sphere changes according to its diameter length.
That is the volume of the sphere depends upon the length of its diameter.
Thus, the independent quantity in the situation is the length of the diameter.
What is the x-coordinate of the solution to the following system of equations?
x − y = −3
x + 3y = 5
x = −2
x = −1
x = 1
x = 2
The {x} coordinate of the solution to the following system of equations is - 1.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the system of equations as -
x − y = − 3
x + 3y = 5
We can write -
x - y = - 3
y = x + 3
So, we can write -
x + 3(x + 3) = 5
x + 3x + 9 = 5
4x = - 4
x = - 1
Therefore, the {x} coordinate of the solution to the following system of equations is - 1.
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A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline? 33 miles 83 miles 120 miles 270 miles Mark this and return
Answer:
270 miles
Step-by-step explanation:
if 1 gallon = 18 miles
then 15 gallons = x miles
cross multiply
1 × x = 15×18miles
x = 270 miles
so it travels 270 miles on 15 gallons of gasoline
5x (x+8)= - 7 quadratic or not? explain,
Answer:
Step-by-step explanation:
Yes it is a quadratic equation
5x^2 + 40x = -7
5x^2 + 40x + 7 = 0
a = 5
b = 40
c = 7
-40/10 + (sqrt(1600 - 4(5)(7)))/10
-4 + (sqrt(1600-160))/10
-4 + (sqrt(1440))/10
-4 + 12(sqrt(10))/10
-4 + 6/5(sqrt(10))
How can 3.14159 be based on a multiple on the divisor?
Answer:
Here the value is similar to the value of pi ([tex]\pi[/tex])
Step-by-step explanation:
22 / 7 = [tex]\pi[/tex]
22 / 7 = 3.14159
So it is based on a multiple on the divisor 7
The noontime temperature was 29F. This was 4F lower than predicted. Write and solve an equation to determine the predicted noontime temperature. Show that your answer is reasonable
Answer:
x=33
Step-by-step explanation:
First you haft to find what x is to find the answer
x - 4 = 29
First add 4 to -4 so the cancel out and then you add 4 to 29.
x - 4 = 29
+4 +4
-----------------
x = 33
determine the quotient of 2/3 ÷ 4/5
Answer:
5/6
Step-by-step explanation:
It might make the problem easier to understand if we were to rewrite it as:
2
----
3
======
4
----
5
In this expression, we're dividing by a fraction, the fraction 4/5. We can get the same result by inverting this divisor fraction, 4/5, and then multiplying 2/3 by 5/4:
5 2
----- * -----
4 3
This reduces to
5 1
----- * ----- = 5/6
2 3
The cross-sectional areas of a right pyramid and a right cylinder are congruent. The pyramid has a height of five units, and a right triangle has a height of three units. Which conclusion could be made from the given information
Answer:
the volume of the right cylinder is 1.8 times the volume of the pyramid
Step-by-step explanation:
The volume of a pyramid is
[tex]V = \dfrac{1}{3} \times B\times H[/tex]
where the height of the pyramid is 5
[tex]V = \dfrac{1}{3} \times B\times 5[/tex]
[tex]V = \dfrac{5}{3} B \ units ^3[/tex]
On the other hand, the volume of a right cylinder is
V = BH
where the height of the right cylinder = 3 units
V = 3 B units³
Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:
[tex]\dfrac{V_p}{V_c}= \dfrac{\dfrac{5}{3}B}{3B}[/tex]
[tex]\dfrac{V_p}{V_c}= \dfrac{5}{9}[/tex]
[tex]9 V_p = 5 V_c[/tex]
[tex]V_c = 1.8 \ V_p[/tex]
Hence, the volume of the right cylinder is 1.8 times the volume of the pyramid
A ladder leans against a house making a 30 degree angle with the ground. If the ladder touches the house at a point 10 feet high, how long is the ladder?
Answer:
20ft.
Step-by-step explanation:
Sine = Opposite / Hypothenuse
Opposite = Height = 10ft
Hypothenuse = Length of ladder
Therefore, sin30° = 10ft / Length = 1/2
Length = 20ft
Solve for b. A=1/2(b+h)
Answer:
b = 2A - hStep-by-step explanation:
A = 1/2(b+h)
×2 ×2
2A = b + h
- h - h
2A - h = b
b = 2A - h
14. Sixteen is the same as the quotient of a number and 12.
Answer:
16 = n/12
Step-by-step explanation:
16 = n/12
NEED BOTH ANSWERED!!!
Is the relation a function?
○ True
○ False
Answer:
The first picture without the diagram is true, and the other one is false.
Step-by-step explanation:
A relation can be a function if the domain has exactly one range. IT CANT HAVE TWO Y-VALUES.
The stock of Company A gained 6.5% today to $40.47. What was the opening price of the stock in the beginning of the day?
Answer:
$37.84
Explanation:
We need to see what to multiply $40.47 by to find the price of the stock from the beginning. First, we need to subtract 100% by the percentage of gain.
100% - 6.5% = 93.5%
Next, we need to divide 93.5% by 100.
93.5% ÷ 100 = 0.935
Lastly, we multiply $40.47 by 0.935 and round it to the nearest hundredth.
40.47 × 0.935 = 37.83945 --> 37.84
Hope this helped!
$37.84
So we know that we need to see what to multiply $40.47 by to find the price of the stock from the beginning.
First, we need to subtract 100% by the percentage of gain.
100% - 6.5% = 93.5%
Next, we need to divide 93.5% by 100.
93.5% ÷ 100 = 0.935
Lastly, we multiply $40.47 by 0.935 and round it to the nearest hundredth.
40.47 × 0.935 = 37.83945 --> 37.84
Fianl result: $37.84
Find the missing angles with reasons. plz quick it is due today
Answer:
d = 64, e = 64, g = 55, f = 55
Step-by-step explanation:
Answer:
[tex] \boxed{ \bold{ \sf{see \:below}}}[/tex]
Step-by-step explanation:
d = 64° ( Being vertically opposite angles )
e = 64 ° ( Being alternate angles )
2. g + 125 ° = 180 ° ( sum of supplementary angle)
Move 125 to right hand side and change it's sign
g = 180° - 125°
Subtract 125 ° from 180 °
g = 55 °
f = g ( being alternate angles )
f = 55 °
Hope I helped!
Best regards! :D
the prism has a volume up to 150.find the length of the prism
Step-by-step explanation:
We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.
Step 1
Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.
Step 2
The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.
[tex]150 / 20=7.5[/tex]
Our final answer: l = 7.5 feet
We can check our answer by multiplying all the numbers together.
4 * 5* 7.5 = 150
Simplify [tex]\frac{9x^2 - 3x}{6x - 45x^2}[/tex]
There are multiple ways of going about this, but what I find easiest for a problem like this is to find the GCF of all the terms.
The GCF of [tex]9x^2,-3x,6x,-45x^2[/tex] is [tex]3x[/tex].
Meaning that we can take out 3x out of all the terms and still be left with the simplest, yet equivalent for of the expression.
[tex]\frac{2x-1}{2-15x}[/tex]
Set of the equation
X+9=26
Answer:
17
Step-by-step explanation:
subtract 9 from 26 and you should get the answer
six plus what equals -2
Answer: -8
Step-by-step explanation:
6+ -8 = -2
Lauren answered 150 questions correctly on her multiple choice history final that had
a total of 200 problems. What percentage of questions did Lauren answer correctly
on the final exam?
What is the value of the expression below z = 7
6z - 2
-1/2x-1/4(10x-9)=-(-7/4x+2)-x
Answer:
x= 17/15
Step-by-step explanation:
−1/2 x- 1/4 (10x−9)=−( -7/4 x+2)−x
Please help ALGEBRA 1 !
Answer:
B. 36 root7 = area of the rectangle