Answer: number 14 is 30.78 x 10 to the exponent of 11
Step-by-step explanation:
you multiply 8.1 and 3.8 together which would equal 30.78 and you add the exponents together since they are being multiplied.
A tank has 82 3/4 litres of water, 24 4/5 litres were used, and the tank was filled with another 18 3/4 litres. What is the final volume of the water in the tank?
Answer:
76 14/20
(76 7/10) simplified
Step-by-step explanation:
First we make the denominator of the fraction equal
82 15/20
24 16/20
18 15/20
We then subtract
82 15/20 - 24 16/20
81 35/20 - 24 16/20 =
57 19/20
Then we add
57 19/20 + 18 15/20=
76 14/20
(76 7/10) simplified
There are 20 pens in a box. Eighteen (18) of the pens are black. The other 2 pens are red. What percentage of the pens are black?
Answer: 90%
Step-by-step explanation: All u gotta do is 18/20. You get .9 and u just add a 0 at the end
What is the total area of the figure below?
g(x) = 4x+5; find g(5)
Hello!
[tex]\large\boxed{g(5) = 25}[/tex]
If g(x) = 4x + 5, find g(5) by substituting 5 for x:
g(5) = 4(5) + 5
Simplify:
g(5) = 20 + 5
g(5) = 25
The revenue, in dollars. of a company that produces video game systems can be modeled by the expression 52 +
2t - 80. The cost in dollars, of producing the video game systems can be modeled by 5.22 -+ 100, where x is the
number of video game systems sold. If profit is the difference between the revenue and the cost, what expression
represents the profit?
Profit can be modeled by the polynomial expression
If 1,000 video game systems are sold, the company's profit is $
Answer:
1). Profit = 3x - 180
2) Profit of selling 1000 video games = $2820
Step-by-step explanation:
Expression for the revenue = 5x² + 2x - 80
Expression for the production cost of the video games = 5x² - x + 100
Since, profit is the difference between the revenue and the cost,
Expression for the profit will be,
Profit = Revenue - Cost
= (5x² + 2x - 80) - (5x² - x + 100)
= 5x² + 2x - 80 - 5x² + x - 100
= 3x - 180
Here, x = Number of video games sold
If number of video games sold = 1000
Profit = (3×1000) - 180
= 3000 - 180
= $2820
A pole that is 3.3 m tall casts a shadow that is 1.4 m long. At the same time, a nearby building casts a shadow that is 47.5 m long. How tall is the building?
Round your answer to the nearest meter.
Answer:
[tex]112\:\mathrm{m}[/tex]
Step-by-step explanation:
If you were to draw a diagram, you could form two similar triangles using the pole and the building (unsolvable otherwise). Since these triangles are similar, we can write the following proportion:
[tex]\frac{3.3}{1.4}=\frac{h}{47.5}[/tex], where [tex]h[/tex] is the height of the building.
Solving, we get:
[tex]h=\frac{47.5\cdot 3.3}{1.4},\\h\approx \fbox{$112\:\mathrm{m}$}[/tex] (rounded to the nearest meter as requested in the problem).
I've drawn the figure below for reference:
Given the exponential equation 3* = 243, what is the logarithmic form of the equation in base 10? (5 points)
log, 243
log, 3
log, 3
log, 243
log,03
log, 243
log, 243
Answer:
[tex]x = \frac{log\ 243}{log\ 3}[/tex]
Step-by-step explanation:
Given
[tex]3^x = 243[/tex]
Required
Express as a logarithm
[tex]3^x = 243[/tex]
Take log of both sides
[tex]log\ 3^x = log\ 243[/tex]
Apply the following law of logarithm
[tex]log\ a^b = b\ log\ a[/tex]
So, the expression becomes:
[tex]log\ 3^x = log\ 243[/tex]
[tex]x\ log\ 3 = log\ 243[/tex]
Divide both sides by log 3
[tex]\frac{x\ log\ 3}{log\ 3} = \frac{log\ 243}{log\ 3}[/tex]
[tex]x = \frac{log\ 243}{log\ 3}[/tex]
Hence, the expression in base 10 is:
[tex]x = \frac{log\ 243}{log\ 3}[/tex] or [tex]x = \frac{log_{10}\ 243}{log_{10}\ 3}[/tex]
Write the equation of the line graphed below.
Answer:
a
Step-by-step explanation:
what is the equation, in point-slope form, that is perpendicular to the given line and passes through the point (-4,-3)?
Answer:
C. y + 3 = ¼(x + 4)
Step-by-step explanation:
✔️First, find the slope of the given line on the graph that it is perpendicular to:
Slope (m) = ∆y/∆x = -4/1 = -4
Thus, the slope of the line that is perpendicular to the given line would be the negative reciprocal of -4.
The negative reciprocal of -4 = ¼
✔️Find the equation in point-slope form, y - b = m(x - a) using slope and a point on the line:
Substitute m = ¼, (a, b) = (-4, -3) into y - b = m(x - a):
y - (-3) = ¼(x - (-4))
y + 3 = ¼(x + 4)
Which multiplication equation is related to the division equation one ninth ÷ 5 = ___?
five times one twenty fifth equals one ninth
one forty fifth times five equals one ninth
one forty fifth times one fifth equals one ninth
five times one fifteenth equals one ninth
Answer:
one forty fifth times five equals one ninth
Step-by-step explanation:
In division, the number being divided is the dividend or numerator, the denominator is the number we use to do the division while the result is the quotient and there may be a reminder.
For example, if
a/b = c
then
a = b * c
hence
1/9 ÷ 5
= 1/9 * 1/5
= 1/45
This means that
1/45 * 5 = 1/9
Hence the related multiplication equation related to the division equation one ninth ÷ 5 is one forty fifth times five equals one ninth
Division expression are the expression in which one number is divided by other. Multiplication equation is related to the division equation one ninth divided by five is one forty fifth times five equals one ninth. Thus the option 2 is the correct option.
Given-The given division equation is the fraction 1/9 divided by the number 5. That is,
[tex]\dfrac{\dfrac{1}{9} }{5} =\dfrac{1}{45} [/tex]
Division expressionDivision expression are the expression in which one number is divided by other
1) Five times one twenty fifth equals one ninth-This can be written as,
[tex]5\times \dfrac{1}{25} =\dfrac{5}{25} [/tex]
[tex]5\times \dfrac{1}{25} =\dfrac{1}{5} [/tex]
Which is not equal to the the given division expression.
2) One forty fifth times five equals one ninth-This can be written as,
[tex]\dfrac{1}{45}\times5 =\dfrac{1}{9} [/tex]
This is equal to the the given division expression.
3) One forty fifth times one fifth equals one ninth-This can be written as,
[tex] \dfrac{1}{45}\times\dfrac{1}{5} =\dfrac{1}{225} [/tex]
Which is not equal to the the given division expression.
4) Five times one fifteenth equals one ninth-This can be written as,
[tex]5\times \dfrac{1}{15} =\dfrac{1}{3} [/tex]
Which is not equal to the the given division expression.
Hence multiplication equation is related to the division equation one ninth divided by five is one forty fifth times five equals one ninth. Thus the option 2 is the correct option.
Learn more about the division expression here;
https://brainly.com/question/13015660
PLS HELP ASAPPP I WILL GIVE BRAINLIEST
Answer:
Yes, it is.
Step-by-step explanation:
Answer:
Yes sir
Step-by-step explanation:
determine the ratio a:c if a:b=1:2 and b:c=3:4
Step-by-step explanation:
(a/b*b/c=1/2*3/4)(a/c=3/8)
Select the correct answer!! PLEASE HELP!!
Answer:
A
2√2 * 7√18
=84
.................
Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.
To the nearest whole acre, how many acres were harvested?
453 acres
489 acres
509 acres
553 acres
Answer:
553 acres
Step-by-step explanation:
94010 ÷ 170 =553
Answer:
D
Step-by-step explanation:
PLEASE HELP ME FAST!!
Determine each number by writing a proportion. Round to the nearest tenth if necessary.
What is 10% of 120?
Answer:
10% of 120 is 12
Step-by-step explanation:
your answer is 12
Answer:
12
Step-by-step explanation:
10% of 120 = 10% x 120
= 0.1 x 120
= 12
Please mark me Brainliestt :)
If your percent of discount is 25% and your sales price is $40, what is your original price? Please show me how you got your answer.
Answer:
$50
Step-by-step explanation:
40x1.25=50
price with discount X Discount price to undo it= Original price
Which expression is equivalent to
5x + 2(3x - 4) + 10
!! please explain !!
Answer:
11x+2
Step-by-step explanation:
Answer:
11x=+2
Step-by-step explanation:
5x+2(3x-4)+10
5x+(2*3x-2*4)+10
5x+(6x-8)+10
5x+6x-8+10
=11x=2
A. The slope of the line will change from positive to negative
B. The slope of the line will change from negative to positive
C. The y-intercept of the line will change from positive to negative
D. The y-intercept of the line will change from negative to positive
Answer:
The slope of the line will change from negative to positive
Step-by-step explanation:
the equation is in the form of y=mx+c and m is negative. By multiplying m with another negative number it turns positive, thus slope changes from negative to positive
I need help ASAP please I’m giving brainliest pleaseee!
Find the product. Write the product in SIMPLEST form. 4/5 x 7
Consider the function f(x) = (x + 2)2 + 1. Which of the following functions shifts the graph of f(x) to the right three units?
g(x) = (x + 5)2 + 1
g(x) = (x + 2)2 + 3
g(x) = (x – 1)2 + 1
g(x) = (x + 2)2 – 2
Answer:
g(x) = (x – 1)2 + 1
Step-by-step explanation:
Answer:
g(x) = (x – 1)2 + 1
Step-by-step explanation:
someone pls help!!!!!!!!!!!!
Three is 7 more than one-fifth of a number.
Answer:
3=1/5x+7
Step-by-step explanation:
when it says "Of a number" it means to add a variable, so i added a x. and when it says "more than" it means to add, so 3=1/5x+7 is the answer
Solve for x x/6=9
X=15
X=3
X=1.5
X=54
Is it linear or exponential
A chemist has a bottle of a 1% acid solution and a bottle of a 5% acid solution. She wants to mix the two solutions to get 100 ml of a 4% acid solution. Follow the steps below to find how much of each solution she should use.
Part 2 out of 3
Use the information in the table to write a system of equations.
Answer:
12% alkaline
Step-by-step explanation:
The amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.
Given to us
A chemist has a bottle of a 1% acid solution and a bottle of a 5% acid solution.
She wants to mix the two solutions to get 100 ml of a 4% acid solution.
Assumption
Let the amount of 1% acid solution be x ml, and the amount of 5% acid solution be y ml.
Total Amount of the Final SolutionAs the chemist wants to mix the two solutions to make 100 ml of solutions, therefore,
amount of 1% acid solution + amount of 5% acid solution = 100ml
x + y = 100.....equation 1
Solving for y,
y = 100 - x
What is the % of the acid in the mixture?We know that the mixture is having a 4% concentration and is 100 ml in volume.
[tex](1\%)x+(5\%)y = (4\%)100\\0.01x+0.05y=0.04\times 100\\[/tex]
Substitute the value of y,
[tex]0.01x+0.05(100-x)=0.04\times 100\\\\0.01x + (0.05\times 100)-(0.05\times x) = 4\\\\0.01x + 5 -0.05x =4\\\\0.01x-0.05x = 4-5\\\\0.04x = 1\\\\x=\dfrac{1}{0.04}\\\\x = 25\ ml[/tex]
Substitute the value of x in equation y,
[tex]x+y = 100\\25 +y =100\\y = 100-25\\y=75\ ml[/tex]
Hence, the amount of 1% acid solution she needs to mix is 25 ml while the percentage of 5% acid solution she needs to mix is 75 ml.
Learn more about the System of equations:
https://brainly.com/question/12895249
area of a circle, diameter = 16.8cm
Answer:
Step-by-step explanation:
Area of circle=Pi times radius^2
Diameter is half of radius=8.4
Pi*8.4^2=221.670777637
Hope this helps!
Answer:
221.56 cm^2 or 70.56pi
Step-by-step explanation:
Area of a circle = pi*radius^2
Radius = diameter/2, radius = 8.4
3.14(8.4)^2 = 221.56 cm squared, or 70.56pi
Please answer this correctly without making mistakes
Answer:
I am not quite sure but I say 2 quarts and 15 pints.
2/9 in decimal and percent form?
Answer:
2.9% = 0.029 in decimal form. Percent means 'per 100'. So, 2.9% means 2.9 per 100 or simply 2.9/100. If you divide 2.9 by 100, you'll get 0.029
Step-by-step explanation:
Answer:
0.222222 repeating in decimal
22.22%
Step-by-step explanation:
is a aquarium gallon quart pint or cup