Answer: 134 miles
Step-by-step explanation:
f(m) = 16.95 + 0.92m
140.23 = 16.95 + 0.92m
0.92m = 140.23 - 16.95
0.92m = 123.28
m = 123.28/0.92
m = 134 miles
Marin Caswell needs 10% hydrochloric acid for a chemistry experiment. How much 5% acid should she mix with 60 milliliters of 20% acid to get a 10% solution?
Answer:
120 mL of 10% HCL will be used.
Step-by-step explanation:
to solve this, we have to generate an equation for the mixture, to get the volume of 10% HCl needed.
Let the volume needed = x
5% of x + (20% of 60ml) = 10% of ( 60 + x) ml of new mixture
0.05x + (0.2 × 60) = 0.1 × (60 + x)
0.05x + 12 = 6 + 0.1x
12 - 6 = 0.1x - 0.05x
6 = 0.05x
x = 6 ÷ 0.05
x = 120
Therefore, 120 mL of 10% HCL will be used.
witch of the statements are true about exterior angles
what is the slope of the following line?
Answer:
The slope is [tex]\frac{1}{-2}[/tex]
Step-by-step explanation:
Hope this helps, and it will also be, in longer & greater terms: [tex]y= \frac{1}{-2}x + 2[/tex].
I hope my answer is also correct.
Answer:
-1/2
Step-by-step explanation:
The answer is -1/2 because of rise over run.
A mnemonic for remembering that the slope of a non-vertical line is the ratio of the amount it rises over some interval, over the length of that interval.
solutions to ( x - 2 )² = -16
Answer: There are no real solutions
Answer:
About -3.5
Step-by-step explanation:
x^2 - 2^2 = -16
x^2 - 4 = -16
x^2 = -12
x = the square root of -12
x is about - 3.5
Find the product of all real values of r for which 1/2x=r-x/7
Answer:
[tex]r = \±\sqrt{14[/tex]
[tex]Product = -14[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2x} = \frac{r - x}{7}[/tex]
Required
Find all product of real values that satisfy the equation
[tex]\frac{1}{2x} = \frac{r - x}{7}[/tex]
Cross multiply:
[tex]2x(r - x) = 7 * 1[/tex]
[tex]2xr - 2x^2 = 7[/tex]
Subtract 7 from both sides
[tex]2xr - 2x^2 -7= 7 -7[/tex]
[tex]2xr - 2x^2 -7= 0[/tex]
Reorder
[tex]- 2x^2+ 2xr -7= 0[/tex]
Multiply through by -1
[tex]2x^2 - 2xr +7= 0[/tex]
The above represents a quadratic equation and as such could take either of the following conditions.
(1) No real roots:
This possibility does not apply in this case as such, would not be considered.
(2) One real root
This is true if
[tex]b^2 - 4ac = 0[/tex]
For a quadratic equation
[tex]ax^2 + bx + c = 0[/tex]
By comparison with [tex]2x^2 - 2xr +7= 0[/tex]
[tex]a = 2[/tex]
[tex]b = -2r[/tex]
[tex]c =7[/tex]
Substitute these values in [tex]b^2 - 4ac = 0[/tex]
[tex](-2r)^2 - 4 * 2 * 7 = 0[/tex]
[tex]4r^2 - 56 = 0[/tex]
Add 56 to both sides
[tex]4r^2 - 56 + 56= 0 + 56[/tex]
[tex]4r^2 = 56[/tex]
Divide through by 4
[tex]r^2 = 14[/tex]
Take square roots
[tex]\sqrt{r^2} = \±\sqrt{14[/tex]
[tex]r = \±\sqrt{14[/tex]
Hence, the possible values of r are:
[tex]\sqrt{14[/tex] or [tex]-\sqrt{14[/tex]
and the product is:
[tex]Product = \sqrt{14} * -\sqrt{14}[/tex]
[tex]Product = -14[/tex]
a gold mine extracted 500,000 ounces. gold is priced at present time at $460 per ounce. the mine holds gold for 3 years. if inflation (for gold) is 5.17% per year, how much money will they receive for selling in 3 years all 500,000 ounces in actual dollars
Answer:
$267,536,000Step-by-step explanation:
Step one:
given data
total ounces=500,000
cost per ounce= $460
total amount of the ounce= 500,000*460= $230000000
Time t=3years
rate= 5.17%= 0.0517
Step two:
The inflation we have a compounding effect on the amount
$230000000
A=P(1+r)^t
A=230000000(1+0.0517)^3
A=230000000(1.0517)^3
A=230000000*1.1632
A=$267,536,000
They will receive a total of $267,536,000
Write a real-world division story for 8/2. Then write another real-world story that shows a different way to think about division
Answer:
Kinda cheesy:)
Step-by-step explanation:
If you what to give 2 friends candy and all you have is 8 pieces of candy, each friend will get 4 pieces of candy.
what is the value of the expression x = 9 and y = 4
Answer:
1. 13
2. 18
If I'm wrong please let me know
Help plzzzzzzzz will give brainliest
Answer:
78.4
Step-by-step explanation:
You add them all up and divide by however many numbers there are.
Answer:
78.4
Step-by-step explanation:
To find the mean of something, you need to add all the values together, then divide the sum by the number of numbers there are.
The sum of all the numbers is 784, and there are 10 numbers.
So, the equation you need to solve is:
784 / 10 = ?
This equals 78.4, so the mean is 78.4.
Which city is the largest percent of people taking the train
Answer:
new york
Step-by-step explanation:
it has the highest number
Which expressions are equivalent to -7+3(-4e-3)
A.) -4(3e+4)
B.) 12e
C.) None of the above.
GIVING BRAINLIEST!
*URGENT*
Answer:
The answer is letter A.
-7+3(-4e-3)
−7+3((−4)(2.718282)−3)
=−48.619382
-4(3e+4)
−4((3)(2.718282)+4)
=(−4)((3)(2.718282)+4)
=(−4)((3)(2.718282))+(−4)(4)
=−32.619382−16
=−48.619382
If (72)p = 76, what is the value of p? (5 points)
A. 2
B. 3
C. 4
D. 8
Answer:
8
Step-by-step explanation:
What is the Y intercept of 10x+5y=30
Answer: (0,6)
The y-int is 6
Diameter of a sphere 7m calculate the sphere volume
Answer:
179.59 m³
Step-by-step explanation:
Formula for sphere volume: V=4/3πr^3
Can someone pls tell me this ASAP I need it in 15 minutes will give brainliest(the 4 question)
Answer: 90
Step-by-step explanation:
Find the final hourly wage if a $6.00 starting wage is increased by 5.5% each year for 10 years
Answer:
The total earnings for a wage of 6 per hour, an average work week of 8 hours, and working a total of 521 weeks (10 year) per year is:
$48.00 per week
or $25,008.00 per year
But to figure out how much the wage is being increased by 5.5% you would add 5.5% to the salary per year so 25,008.00 + 1,375.44= 26,383.44
what is the answer to and how to solve7(11c+3)
Answer:
I got 77c+21
Step-by-step explanation:
Answer:
77c + 21
Step-by-step explanation:
7(11c + 3)
= 7*11c + 7*3
= 77c + 21
please first click on the image.
the question :
If the pattern continues , what algebraic expression can be used to find the number of circles used in any figure ? how many circles will be in the 50th figure ?
Let the figure number be x.
Then the equation will be:
3x
There will be 3x circles in the figure number x.
So, number of circles in 50th figure will be
= 3(50)
= 3 × 50
= 150 circles
The number of circles in the 50th figure is 150 circles.
What is Sequence?A sequence in mathematics is a ordered set of objects or numbers which are related with something.
For example, 1, 3, 5, ..... is a sequence of odd numbers.
Here a pattern is shown in the form of the circles.
In the Figure 1, there are 3 circles.
In the figure 2, there are 6 circles.
In the figure 3, there are 9 circles.
It is clear that the pattern is in such a way that 3 circles are increasing to each succeeding figure.
So for the nth figure,
Number of circles will be 3n.
So for 50th figure, number of circles = 3 × 50 = 150 circles
Hence the number of circles in the 50th figure is 150.
Learn more about Sequences here :
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What is the fraction equivalent to 3/9?
Answer:
1/3 or 2/6
Step-by-step explanation:
hope this helps :)
Mark studied a group of 30 whales. If each whale weird approximately 3.8x10.5 pounds, find the total weight of all 30 whales. Express in Scientific notation.
Answer:
1.197 * 10^3 lbs
Step-by-step explanation:
3.8 * 10.5 = 39.9 lbs each
Now, we multiply 39.9 by 30, which is 1197 lbs in total
In scientific notation, 1197 is 1.197 * 10^3
I hope this helped, please mark Brainliest, thank you !!
Answer:
114 × 10 ^ 5
Step-by-step explanation:
30: Number of whales
380,000: weight of each whale
30 × 38,000 = 11,400,000 total weight
Scentific notation: Expressing large numbers in a smaller way so
114 × 10 exp 5
Please answer as fast as possible see the image
Answer:
111.9 units
Step-by-step explanation:
Area of semicircle: 1/2(πr^2)
r = 3
1/2(π(3)^2)
33.92920065
Area of Rectangle: w * l
l = 13
w = 3(2)
13 * 3(2) = 13 * 6 = 78
Total:
78 + 33.9 = 111.9 units
Answer:
92.1Step-by-step explanation:
total area = rectangle + semicircle
= (13 x 6) + (1/2 π 3²)
= 78 + 14.1
= 92.1
Given the speeds of each runner below, determine who runs the fastest.
Debbie runs 10 feet per second.
Stephanie runs 131 feet in 10 seconds.
Jessica runs 1 mile in 440 seconds.
Ron runs 547 feet in 1 minute.
Debbie
Stephanie
Jessica
Ron
Answer:
Debbie runs 9 feet per second: 9 ft/s
Jessica runs 1 mile in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s
jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s
ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s
Since:
11 11/47 > 10 1/20 > 9 > 8 7/25
Emily runs the fastest.
Can someone help me there is a picture of problem
Answer:
8 interior angles
Step-by-step explanation:
There is a simple trick to finding the number of interior anglesFor instance, a triangle has 3 sides, and how many angles are in a triangle? 3A square has 4 sides and 4 interior anglesA pentagon has 5 sides and 5 interior anglesSo an octagon, the shape we have here, has 8 sides so 8 interior anglesWhat is the probability that a point chosen at random in the triangle is also in the blue square?
O 1/6
O 1/3
O 1/2
O 1
Answer:
1/3
Step-by-step explanation:
Area of a triangle = 1/2 x base x height.
Area of the shown triangle = 1/2 x 9 x 6 = 27 square inches.
Area of blue square = 3 x 3 = 9 square inches.
The probability of being in the blue are of the triangle = 9/27 which reduces to 1/3
solve the equation In(x+2)=In(x-4)+ In3
Answer:
x = 7
Step-by-step explanation:
lmk if I'm wrong, but I shouldn't be
One company estimates same-day delivery as more than three less than half the total number of miles. Which
graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
Option D is correct, the region above of the line y=x/2-3 that we can write as y>x/2-3
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We know by reading the exercise that the company estimates same day delivery as a region of the miles.
y>x/2-3
We need to represent this region in a graph.
One way is to find the graph of y=x/2-3
This line will divide the plane into two regions. Then, using any point that verifies the original equation we can find the graph.
y=x/2-3
If x=0
y=-3
The point (0, -3) is the interception of the line with y-axis.
Now if y=0
0=x/2-3
3=x/2
6=x
The point (6, 0) is the interception of the line with x-axis.
We know that y>x/2-3 will be the region above of or below of the line y=x/2-3
Now using an arbitrary point (0,0), for example and replacing in the expression :
0>-3
The point (0, 0) verifies the expression. Therefore, this point belongs to the region.
Finally, we conclude that the region is the region above of the line y=x/2-3 that we can write as y>x/2-3 and the correct option is D.
Hence , option D is correct, the region above of the line y=x/2-3 that we can write as y>x/2-3
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What is the measure of ABC?
Answer:
C. 60
Step-by-step explanation:
You can take away 120 instantly because that angle is acute. This leaves you with A, B, and C. It's most certainly too big to be C. By this point you can look at it and draw a 90 degree angle in your mind and you can see that it looks about 2/3 of a 90 degree angle.
May I have brainliest please? :)
What is the degree measure of f?.
A) 56°
B) 58°
C) 60°
D) 64°
If you can, please explain your answer to me!
Answer:
The measure of F is C)60
Step-by-step explanation:
YOu have to subtract 116 from 180 an you should get 64. SO 64 is the other angle inside of the trianlge. You add 64 and 56, you get the answer 120. You subtract 120 from 180 and you get the answer 60. The measure of angle F is 60.
Answer:
Step-by-step explanation:
There are three rules in mathematics that help us solve this problem:
1. Angles opposite the vertex measure the same. 2. All the interior angles of a triangle add up to 180 °3. All angles that share a vertex add up to 360 °So, we have that the angle opposite the vertex to the angle that measures 116 ° must measure the same: 116 °
So, we have two angles of 116°, so we add, 116 + 116 = 232
360 - 232 = 128
The other two opposite angles (of which one is an internal angle of the triangle) add up to 128
Since they are opposite by the vertex, they measure the same, so we divide by two and it gives us the value of each one:
128/2 = 64
So, if we know by the second rule, 64 + 56 + f = 180
We resolve:
120 + f = 180
(120 + f) - 120 = 180 -120
f = 60
The value of the angle F is 60°
The cost see for manufacturing X units of a certain product is given by C equals X squared -10 X +35 find the number of units manufactured at a cost of 11,035
9514 1404 393
Answer:
110 units
Step-by-step explanation:
Fill in the given value and solve for x.
c = x^2 -10x +35
11035 = x^2 -10x +35
11025 = x^2 -10x +25 = (x -5)^2 . . . . subtract 10 to complete the square
x = 5 +√11025 = 5 +105 . . . . find the positive solution
x = 110
The number of units manufactured at a cost of 11,035 is 110 units.
A right triangle, DEF, is shown below.
What is sin FDE?
Answer:
22.6°
Step-by-step explanation:
Reference angle = <FDE
Side opposite to <FDE = 5
Hypotenuse = 13
The trigonometric ratios to apply is:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin(\angle FDE) = \frac{5}{13} [/tex]
[tex] sin(\angle FDE) = 0.3846 [/tex]
[tex] \angle FDE = sin^{-1}(0.3846) [/tex]
[tex] \angle FDE = 22.6 [/tex] (nearest tenth)