Answer: 800 miles
Step-by-step explanation:
Let the actual distance between City C and City D be represented by x.
The information given in the question can be formed into an equation as:
1.8 feet / 2.88 feet = 500 miles / x
Cross multiply
1.8 × x = 500 × 2.88
1.8x = 1440
x = 1440/1.8
x = 800
Therefore, the actual distance between City C and City D is 800 miles.
Claire is building a dollhouse where 11 inch on the plans is equivalent to 55 inches on the actual dollhouse. Scale Factor If the house is to be 32.532.5 inches tall, what will the height be on the plans? ___________ inches
Answer:
1 : 5 ;
6.5 inches
Step-by-step explanation:
Given that:
11 inch on plan = 55 in actual
The scale factor here is :
11 : 55
1 : 5 ( 1 inch on plan represents 5 inches the actual house)
If the house is 32.5 inches tall
The height in inches of the house on the plan will be:
Actual Height of house / 5
32.5 / 5 = 6.5 inches
Answer: 6.5
Step-by-step explanation:
which is equivalent to the following expression
7/12 times 4
Answer:
4/1
Step-by-step explanation:
A school track is shown.
1000 m
74 m
The straightaway on each side measures 1,000 meters. The curves are semicircles with diameter 74 meters. What
is the distance, in meters, around the entire track? Use the button on your calculator and express your answer to
the nearest hundredth
The distance is
meters
Answer:
2232.48 meters
Step-by-step explanation:
From the diagram:
Radius of semicircle = 74
Length of straightway on each side = 1000
The length of school track:
Straightway on each side = 2 * 1000 m = 2000m
Length of semicircle = πr/2
Length of both semicircle = 2 * 3.142 * 74 /2 = 232.47785
Total Length = ( 2000 + 232.47785) = 2232.48 meters
Hope this helps!
Select all the equations that have a solution of -4:
A. 10 + x = 6
B. 10 - x = 6
C.-3x = -12
D. -3x = 12
E. 8 = x^2
F. x^2 = 16
Answer:
a, d, f ( 4,-4)
Step-by-step explanation:
I NEED HELP Tiffon makes a 35% commission on the websites that he sells to businesses. If he sells $3,500 worth of websites, what is his commission?
find the missing number that will make the statement true
Please help me with this homework
Help please!
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!
Answer:
b. 84.612cm
c. 314.15cm
d. 5cm
Step-by-step explanation:
b. solve for both triangles and height of rectangle using Sin
c. pi(r)h 3.1415(10)(10)
d. 3*3-2*2=5
Given the equation of a line y = 5x -16, what is the slope of a line PERPENDICULAR to this line?
Answer:
[tex]-\frac{1}{5}[/tex]
Step-by-step explanation:
Notice that the equation y = 5x - 16 is in slope-intercept form, or [tex]y = mx + b[/tex] format. Whenever an equation is in slope-intercept form, the number in place of the [tex]m[/tex], or the coefficient of the x-term, represents the slope of that line. So, the slope of the given line is 5.
Slopes that are perpendicular to each other are opposite reciprocals. So, we need to find the opposite reciprocal of 5. To do that, write it as a fraction, making it [tex]\frac{5}{1}[/tex]. Then, switch the sign and flip the numerator and denominator. This means that the opposite reciprocal of 5 is [tex]-\frac{1}{5}[/tex], so [tex]-\frac{1}{5}[/tex] is the perpendicular slope.
"Expand the brackets and Simplify"
(pls i need help asap)
please help asap!
A scatter plot is shown:
What type of association does the graph show between x and y? (4 points)
a. Linear positive association
b. Nonlinear positive association
c. Linear negative association
d. Nonlinear negative association
Answer:
A
Step-by-step explanation:
the dots form a line going upwards from the origin in a positive way (quadrant 1)
Michelle bought 5 packs of crayons for 13.75. What is the cost of a pack of crayons in dollars if all the pack cost the same?
Answer:
2.75 each pack
Step-by-step explanation:
13.75 divided by 5 =2.75
65 traffic cones we’re equally spaced over 5/8 of a mile how many traffic cones are used per mile
Given:
65 traffic cones we’re equally spaced over [tex]\dfrac{5}{8}[/tex] of a mile.
To find:
The number of traffic cones are used per mile.
Solution:
We have,
Number of cones used in [tex]\dfrac{5}{8}[/tex] of a mile = 65
Number of cones used for a mile = [tex]65\times \dfrac{8}{5}[/tex]
= [tex]13\times 8[/tex]
= [tex]104[/tex]
Therefore, 104 traffic cones are used per mile.
The Hot Dog Eating Contest
10 people entered the hot dog eating contest to see who could eat the most hot dogs in 15 minutes.
Each person was given a number and 10 bags of cooked hot dogs that contained 10 hot dogs per bag.
Person #1 ate 20 hot dogs
Person #2 ate 10 hot dogs
Person #3 ate 35 hot dogs
Person #4 ate 15 hot dogs
Person #5 ate 50 hot dogs
Person #6 ate 25 hot dogs
Person #7 ate 70 hot dogs
Person #8 ate 40 hot dogs
Person #9 ate 15 hot dogs
Person #10 ate 45 hot dogs
Altogether, how many bags of hot dogs were eaten during the contest?
Answer:
325 hot dogs were eaten during the contest.
Step-by-step explanation:
Just add all the hot dogs together. Wow, it's a lot though. :)
Solve algebraically the simultaneous equations
x^2– y^2 = 24
x= 3 + 2y
Write your two pairs of answers in this form:
when x =... y =...
When x=... y=...
Answer:
(5, 1) and (-5, -7)
Step-by-step explanation:
Given the simultaneous equations
x^2– y^2 = 24 .... 1
x= 3 + 2y .... 2
Substitute 2 into 1
(3-2y)^2-y^2 = 24
Expand
9 - 12y + 4y^2 - y^2 = 24
9 - 12y + 3y^2 = 24
3y^2 - 12y + 9-24 = 0
3y^2 -12y -15 = 0
y^2-4y-5 = 0
y^2+5y - y - 5 = 0
y(y+5) - 1 (y+5) = 0
y-1 = 0 and y+5 = 0
y = 1 and -5
Substitute the values of y into 2
Recall that x = 3+3y
when y = 1
x = 3 + 2(1)
x = 5
when x = -5
x = 3 + 2(-5)
x = 3 - 10
x = -7
Hence the solutions are (5, 1) and (-5, -7)
1.X + 1 3/7 = 4 5/7 Use either method that was
taught.
Answer:
32/7
Step-by-step explanation:
Evaluate:
f(x) = 3x – 4, when x=-2
O f(-2) = 2
O f(-2) = -10
O f(-2) = -2
o f(-2) = 1
Atrice needs to find a container that will hold at least 300 cubic Inches of water. Which of these figures could atrice use
Answer:I think it’s answer B
Step-by-step explanation:because if you measure figure 2 it will be about 451 and you need it to hold about 300 so it can’t be a or c and figure 3 holds about 321 while figure 1 holds about something so I think it’s B
Tiana solved the problem below and found that there was no solution. Solve the problem. Do you agree with her answer? Show your work to support your answer either way. -6(x - 4) + 4x = -2x + 18
Note: explain it well enough so I could borrow your answers
Answer:
Step 1: Simplify both sides of the equation.
−6(x−4)+4x=−2x+18
(−6)(x)+(−6)(−4)+4x=−2x+18(Distribute)
−6x+24+4x=−2x+18
(−6x+4x)+(24)=−2x+18(Combine Like Terms)
−2x+24=−2x+18
−2x+24=−2x+18
Step 2: Add 2x to both sides.
−2x+24+2x=−2x+18+2x
24=18
Step 3: Subtract 24 from both sides.
24−24=18−24
0=−6
Answer:
There are no solutions.
Marie can make 1/3 quart of orange juice in 1/5 of a minute by squeezing oranges. At this rate, how much juice can she make in 1 minute?
Help
I neeed to get this question right
Answer:
6/10 is greater than 6/100
Step-by-step explanation:
6/10 = 3/5
6/100 = 3/50
3 fifties is lot more than 3 with 5 parts
hope it makes sense
Sorry again I need help
Answer:
I think it's option 4
Step-by-step explanation:
I hope my answer is true
Answer:
2
Step-by-step explanation:
or 4 but I'm pretty sure it's that cause it hits the y and x
A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trapezoid is how many miles
Answer:
3 miles
Step-by-step explanation:
A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trapezoid is how many miles
Area of a trapezoid = 1/2 (a + b)h
The formula for the height of a trapezoid =
h = 2(A/a + b)
A = 18 square miles
a = 5 miles
b = 7 miles
h = 2(18/5 + 7)
h = 2( 18/12)
h = 2 ( 9/6)
h = 3 miles
Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.
Answer:
Bella spent 407.16 and has 132.84 left. she could buy like 2 outfits
Step-by-step explanation:
License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?
Answer:
12710 license plates
Step-by-step explanation:
Given that :
First character = one of 41 different hieroglyphs
Second character = one of 31 emojis
Third character = one of 10 polygons
A license plate consists of 3 characters
Number of 3-character license plates available :
Number of hieroglyphs * Number of emojis * number of polygons
41 * 31 * 10 = 12710 license plates.
what's
[tex] \sqrt{212 + 13} [/tex]
Answer:
Answer is 15 I hope this help
Why might Razis method not be a good way to estimate the probability? My team won 18 of their last 20 matches, so the probability that they will win their next match is 18/20 = 90%
Answer:
It is a really idealistic way to estimate probability.
It usually works well for random events where there is no restriction like:
"There are N elements in a set, the probability of randomly selecting any element is the same (so there is no restriction) meaning that for every single element, the probability is 1/N.
Now suppose that there are K elements (K < N) with a given characteristic, then the probability of randomly selecting one of the K elements out of the sett with N elements is equal to K times the probability of each element, this is:
P = K*(1/N) = K/N"
Then if a dice has 6 possible outputs, and we want to find the probability of getting a 3 or a 5, we need to find the quotient between the outcomes where we get a 3 or a 5 (2) and the total number of outcomes (6)
P = 2/6
Now let's go to the case in the problem:
We know that out of the last 20 games, your team won 18.
Then yes, your team won (18/20)*100% = 90% of their played games.
Does this mean tath the probability of winning the next game is 90%?
Well no, because this is not a random selection, there are a lot of other things needed to analyze, as the win rate of the other team (suppose that the other team won 14 of their last 20 games, then their win rate is (16/20)*100% = 70%
Does this mean that the probability where our team wins is 90%, and the probability of the enemy team winning is 70%?
Well no, this makes no sense at all, and this is why this method is not a good way to estimate probability in complex cases like this one.
need help solving please
Answer:
7
hope it helps..........
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Kelsha purchased a prepaid phone card for $30. Long distance calls cost 21 cents a minute using this card. Kelsha used her card only once to make a long distance call. If the remaining credit on her card is $22.44, how many minutes did her call last?
Answer:
2.646
Step-by-step explanation: