Answer:
C. 150 miles.
Step-by-step explanation:
By multiplying the scale by 3 to get the value for 6 inches, you can find that 6 inches on the map is equal to 150 miles.
Find the solution to the system of equations. Please Help
Answer:
x=−2
y=−4
Step-by-step explanation:
−2x+2y=−4
3x+3y=−18
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
−2x+2y=−4,3x+3y=−18
To make −2x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −2.
3(−2)x+3×2y=3(−4),−2×3x−2×3y=−2(−18)
Simplify.
−6x+6y=−12,−6x−6y=36
Subtract −6x−6y=36 from −6x+6y=−12 by subtracting like terms on each side of the equal sign.
−6x+6x+6y+6y=−12−36
Add −6x to 6x. Terms −6x and 6x cancel out, leaving an equation with only one variable that can be solved.
6y+6y=−12−36
Add 6y to 6y.
12y=−12−36
Add −12 to −36.
12y=−48
Divide both sides by 12.
y=−4
Substitute −4 for y in 3x+3y=−18. Because the resulting equation contains only one variable, you can solve for x directly.
3x+3(−4)=−18
Multiply 3 times −4.
3x−12=−18
Add 12 to both sides of the equation.
3x=−6
Divide both sides by 3.
x=−2
The system is now solved.
x=−2,y=−4
If it takes Joshua 34 minutes to complete her homework assignment for 10 problems write the two variable line equation that represent Joshua constant rate of work
Answer:
y = 3.4x
Step-by-step explanation:
34 minutes to 10 problems is a ratio of 3.4 minutes to 1 problem.
The ratio of minutes to problems is the constant of proportionality.
y = kx
y = 3.4x
Answer: y = 3.4x
Find the zeros of the following factored quadratic function.
f(x) = (9x - 1)(7x - 3)
Answer:
63x^2-34x+3
Step-by-step explanation:
help pls! i don't understand
Plsss help ASAP
Will mark brainleist
Answer:
hello! Your answer would be, 1: B) AND 2: D)
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
which is correctly ordered from greatest to least
Please solve 64^x=4096
Answer:
2
Step-by-step explanation:
64x64=4096
So its 64^2=4096
Answer:
x=2
Step-by-step explanation:
Given: 64ˣ=4096
Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)
Final answer: x=2
Belinda has 7 pieces of wood. Each piece of wood measures 3/4 yards. How many yards of wood does she have all together?
Answer:
each wood is 3/4 and there is 7wood so it's 7*3/4
Step-by-step explanation:
7×3/4
=21/4
Adult tickets to Space City Amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult tickets and 1 child ticket for $163. The Garcia family bought 2 adult tickets and 3 child tickets for $174. Which equation represents the Hensons' cost?
3x+y=163 2x+3y=174
it should be like this {: and each point is one.
Help me please!!!!!
85
68
Find the value of the missing angle
Answer:
153
Step-by-step explanation:
68+85+x =180
68+85=153
180-153=27
180-27=153
Hillary is making a blanket for her mom. Three fourths of the blanket is green and the rest is yellow. Two thirds of the yellow part has her name on it. What fraction of the blanket will, have her name on it?
Answer:
1/6
Step-by-step explanation:
Hillary is making a blanket for her mom.
Let the total blanket = 1
Three-fourths of the blanket is green and the rest is yellow.
The fraction for the rest(yellow portion) = 1 - 3/4
The Lowest Common Denominator is 4
Hence,
4 - 3 /4 = 1/4
Two-thirds of the yellow part has her name on it.
The fraction of the blanket that will have her name on it is calculated as
2/3 of 1 /4
= 2/3 × 1/4
= 1/6
Kameron’s unicycle wheel has a spoke length of 16 inches. Approximately how many inches of ground does Kameron cover in 3 full rotations of the unicycle wheel? (Use 3.14 as an approximation of pi.) 100.48 inches 100 point 4 8 inches 150.72 inches 150 point 7 2 inches 200.96 inches 200 point 9 6 inches 301.44 inches
Answer:jj
Step-by-step explanation:
iuin
A video game is in high demand and the store can't keep them in stock. Instead of selling it for $60 they markup the price 17%. What is the new price after the markup?
Answer:
$70.20
Step-by-step explanation:
60 x 1.17 = 70.20
A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill the well?
Answer:
volume = 4710 ft³
Step-by-step explanation:
base area = πr² = (3.14)(10²) = 314 ft²
volume = base area x height = 314 x 15 = 4710 ft³
A circular flower bed is 23 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for π.
Answer: 244.92 m
Step-by-step explanation:
The area of a circle is pir^2. First you will need to find the area of the concrete and subtract the area of the flower bed from that amount. The concrete is 3 feet wide so you will add that to 11.5 (half of the flower bed diameter) to find the radius. 14.5^2 pi is the entirety of the area. Then subtract 11.5^2 pi for the area of the concrete.
Over a two week period you worked 7 1/2 hrs a day for 8 days. You earn $11.50 an hour. How much money did you earn in your paycheck after $3 was taken out for taxes?
Answer: [tex]\$687[/tex]
Step-by-step explanation:
Given
Working hours are [tex]7\ \frac{1}{2}[/tex] for 8 days
Money earned is $11.50 an hour
Total working hours
[tex]=\dfrac{7\times 2+1}{2}\times 8=\dfrac{15}{2}\times 8\\\\=60\ hr[/tex]
Money earned
[tex]=60\times 11.50=\$690[/tex]
After-tax deduction
[tex]\Rightarrow 690-3=\$687[/tex]
Answer:
Step-by-step explanation:
PLEASE HELP
Which of the following are true if event A and B are independent
Answer:
a) [tex]P(B/A) = P(B)[/tex]
Step-by-step explanation:
Step(i):-
Given that A and B are independent events
P(A∩B) =P(A) P(B)
we will use the conditional probability
[tex]P(A/B) = \frac{P(AnB)}{P(B)}[/tex]
or
[tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]
Step(ii):-
Given that A and B are independent events
P(A∩B) =P(A) P(B)
[tex]P(B/A) = \frac{P(AnB)}{P(A)}[/tex]
[tex]P(B/A) = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]
[tex]P(B/A) = P(B)[/tex]
If the number of bacteria in a colony doubles every 33 hours and there is currently apopulation of 50,000 bacteria, what will the population be 66 hours from now?
Answer:
200,000
Step-by-step explanation:
Population now: 50,000
Population in 33 hours: 100,000
Population in 66 hours: 200,000
Answer: 200,000
I NEED HELP ASAP GEOMETRY 10TH GRADE
Answer:
(14, -7)
Step-by-step explanation:
classify the polynomial −8a2x2+15
Answer:
binomial
Step-by-step explanation:
bcoz highest power(degree) is 2
If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
Answer: 80
Step-by-step explanation:
24 = 30%
48 = 60%
72 = 90%
24/3 = 10% = 8
72 + 8 = 80
One bead for every member of the school orchestra is placed in a bag. All but 2 of the beads are white. Each member draws a bead from the bag, and the members who pick the non-white beads will represent the orchestra. It is predicted that two different instrument players will choose the white beads.
We are to say whether the conclusion is valid.
Answer:
Statement is valid.
Step-by-step explanation:
We are told that One bead is placed in a bag for every member of the school orchestra.
Also that all the beads except for 2 are white. Now, each member takes a bead from the bag and those who lick the non-white will represent the orchestra.
This tells us that this is an unbiased sample because it doesn't give anyone a better chance of picking non-white as every member of the school orchestra has an equal chance since it is randomly selected.
Thus, we can conclude that the statement that two different instrument players will choose the white beads is valid because we are dealing with an unbiased and simple random sampling
Point A is located at -7 on a number line, and point B is located at 3 on the number line. Point C is the same distance away from point A as point B is from point A, but in the opposite direction. Which is the location of point C on the number line?
Answer:
C is at -17 on the number line
Step-by-step explanation:
point A is at -7, point B is at 3, that makes them 10 units away from each other, Point C is the same distance away from A just like B is but in the opposite direction. -7 -10=-17, therefor C is at -17
Plzzzzzz help!!!!!!!!
Find the area of the shaded region. Round to the nearest tenth if necessary.
22 cm
15 cm
31 cm
Answer:
[tex]area = area \: of \: trapezium + area \: of \: semi - circle \\ but \: height = \sqrt{ {15}^{2} - {(31 - 22)}^{2} } = 12 \: cm \\ area = \frac{1}{2} h(a + b) + \frac{1}{2} \pi {r}^{2} \\ = ( \frac{1}{2} \times 12 \times (22 + 31)) + ( \frac{1}{2} \times \frac{22}{7} \times ( \frac{12}{2} ) {}^{2} ) \\ = 318 + 56.57 \\ = 374.6 \: {cm}^{2} [/tex]
A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probability, , that all three marbles drawn will be green?
Answer:
Step-by-step explanation:
Not large
Total number of marbles = 4 + 7 + 6 = 17
Number of green marbles = 7
Probability of first marble being green = 7/17
Probability of the second marble being green = 6/16
Probability of the third marble being green = 5/15
Probability (3 green) = 7 / 17 * 6/16 * 5/15 = 210 / 4080 = 0.05147
A person places $73700 in an investment account earning an annual rate of 5.5%, compounded continuously . Using the formula V = P * e ^ (rt) , where V is the value of the account in t years, P is the principal initially invested , e is the base of a natural logarithm, and r is the rate of interest, determine amount of money, to the nearest cent , in the account after 11 years .
Answer:
The amount in the account after 11 years is $134,963.29
Step-by-step explanation:
Here, we want to determine the amount in the account after 11 years
What we have to do here is to substitute P for the amount invested which is $73,700
r is the rate given as 5.5% = 5.5/100 = 0.055
t is the time given as 12 years
substituting these values, we have;
V = 73,700 * e^(12* 0.055)
V = $134,963.29
Which of the following statements is reflected in the data in the chart? (A) Those who are younger are more likely to be registered to vote than those who are older. (B) Among registered voters, there was a steep increase in social media usage to follow political figures across all age groups and party affiliations. (C) Registered voters in th
Answer:
(B) Among registered voters, there was a steep increase in social media usage to follow political figures across all age groups and party
Step-by-step explanation:
From the chart of the question. It can be seen that at an average when comparing the year 2010 against the year 2014, there is an obvious or sharp increase in social media usage to follow political figures
There is also the issue of party affiliation which contributes to such an increase.
Tessa and Kari are swimming partners in series of practice swims they each swim longer and longer distances without changing pace they each set up a table to show the ratios of distance to time for their swims.