Which fraction is equivalent to [tex] \frac{30}{35} [/tex]?
6/7 because if you divide 30/35 by 5 it will leave at 6/7
Add write the double fact you used to solve the problem 8+7
A 25-foot streetlight casts a showdown 20feet long.If Melanie is standing at the end of the shadow casted by a 60. -foot tall building,how far is she from the building.
By setting up a proportion based on the similar triangles created by the streetlight and the building, we can find that Melanie is standing 48 feet away from the building.
To solve the problem of determining how far Melanie is standing from the building using the shadows, we can use similar triangles. We are given a 25-foot streetlight that casts a 20-foot shadow and a 60-foot tall building. The goal is to find the length of the shadow cast by the building, which will tell us how far Melanie is from the building.
By setting up a proportion based on the similar triangles, we have:
Height of the streetlight / Length of streetlight's shadow = Height of the building / Length of the building's shadow.25 feet / 20 feet = 60 feet / x feet.To find the value of x, we cross multiply:25x = 60 * 20.x = (60 * 20) / 25.x = 1200 / 25.x = 48 feet.Therefore, Melanie is standing 48 feet away from the building.
What is 128/56 simplified⁉️
Which number line correctly shows 2 2/5, 2 4/5, and 11/5?
These are the round-trip distances that city buses traveled on different routes each month. Calculate the total distance, in miles, that buses travel each route in one year.
350 3/5 miles to Parkville
346 3/10 miles to Green City
134 1/5 miles to Evergreen Town
327 4/5 miles to Jefferson
413 7/10 miles to Clinton City
stickers are made with the same ratio of width to length. A stickers 2 inches wide has a length of 4 inches.
Given the area of a square is 225 square feet, what is the length of each side
Which of the following is a multiple of 4?
A. 620
B. 891
C. 734
D. 626
What is the point slope form of the line with slope −14 that passes through the point (−2, 9) ?
a.y+2=−14(x−9)
b.y−9=−14(x+2)
c.y−2=−14(x+9)
d.y+9=−14(x−2)
its not d its the +2 one
4 girls and 4 boys run. Then 2 more children run. The same number of girls and boys run. How many of each run
Identify each decimal number as either rational or irrational.
PLEASE HELP FAST
Answer:
Rational
2. Irrational
3. Irrational
4. Irrational
5. Rational
Step-by-step explanation:
Given the table of candy distributions below, find P(Not orange), the probability of selecting anything but an orange candy at random from a large bag.
Red Orange Yellow Green Blue Brown
0.13 0.20 ? 0.16 0.24 0.13
Answer: 80
Step-by-step explanation:
The probability of selecting anything but an orange candy at random from the bag is 0.8, or 80%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The sum of the probabilities of all possible outcomes must be equal to 1. Therefore, we can find the missing probability for yellow candy by subtracting the sum of the probabilities of all other colors from 1:
1 - 0.13 - 0.20 - 0.16 - 0.24 - 0.13 = 0.14
So the probability of selecting a yellow candy is 0.14.
To find P(Not orange), we can add the probabilities of selecting candies of all other colors:
P(Not orange) = P(Red) + P(Yellow) + P(Green) + P(Blue) + P(Brown)
= 0.13 + 0.14 + 0.16 + 0.24 + 0.13
= 0.8
Therefore,
The probability of selecting anything but an orange candy at random from the bag is 0.8, or 80%.
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MAXIMUM POINTS!!!!! PLEASE HELP
A popular cellular phone family plan provides 1,500 minutes. It charges $89.99/month for the first two lines and $9.99/month for every line after that. Unlimited text messages for all phone lines costs $30.00/month, and Internet costs $10.00/month per phone line. If a family with a $200 monthly budget buys this plan and signs up for unlimited text messaging and Internet on each phone line, how many cell phone lines can they afford? Use an inequality to solve this problem. Graph your solution on the number line and explain the meaning of your graph in a sentence.
what is rounding and estimate 253,495 - 48,617=
Answer:
205000
Step-by-step explanation:
Given : 253,495 - 48,617
To Find : What is rounding and estimate
Solution:
To Estimate a difference by rounding.
1 ) Round each term that will be subtracted
2 )Subtract the rounded numbers
Round off of 253,495 = 253000
Round off of 48,617 = 48000
So, 253000 - 48000 = 205000
Hence The rounding and estimate 253,495 - 48,617= 205000
A whale dives at a speed of 3 feet per second. What is the change in position of the whale relative to where it started after 12 seconds?
When sales representatives for a pharmaceutical company drive out of town meetings that require an overnight stay, they receive $175 for lodging plus $0.70 per mile driven. How many miles did Joe drive if his company reimbursed him $329 for an overnight trip?
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
Joe was given $329 for an overnight trip because he drove a distance of 220 miles
Word ProblemGiven Data
Amount rep receive = $175Added amount per mile driven = $0.70Reimbursed/Total = $329The Mathematical relation for this scenario is
Total amount = Amount Receive+ 0.7*Distance driven
let the distance driven be x
Substituting our given data into the relation we have
329= 175+ 0.7*x
329-175 = 0.7x
154 = 0.7x
divide both sides by 0.7
x = 154/0.7
x = 220miles
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what happens when the slope is doubled?
What is the value of the expression? 3.2(2.3)−4.8 Enter your answer in the box as a decimal.
3.2(2.3) - 4.8
Simplify.
(3.2 × 2.3) - 4.8
Simplify.
(7.36) - 4.8
Simplify.
2.56
Hope this helped. :)
What is x for 7x plus 4 over 6 equals negative 4
what is 12 times 21 ? Plz hurry amanda
Katie is selling lemonade for $1.50 per cup she decides to put them on sale for $0.90 what percent discount did she give on her lemonade
Answer: 40%
Step-by-step explanation:
Given : Katie is selling lemonade for $1.50 per cup she decides to put them on sale for $0.90 .
i.e. Original price= $1.50 ; Price after discount= $0.90
Then, the Discount amount= Original price-Price after discount
= $1.50- $0.90=$0.60
Now, the percent discount will be :-
[tex]\dfrac{\text{\text{Discount amount}}}{\text{original price}}\times100\\\\=\dfrac{0.60}{1.50}\times100=40\%[/tex]
Hence, the required answer = 40%
I need Help with my multi step equations!
What are 5/6 and 7/9 written with their least common denominator (LCD)?
The least common denominator of 5/6 and 7/9 is 18. This results in equivalent fractions of 15/18 for 5/6 and 14/18 for 7/9.
Explanation:To find the least common denominator (LCD) of the fractions 5/6 and 7/9, we first find the least common multiple (LCM) of the two denominators, 6 and 9. The LCM of 6 and 9 is 18.
Next, we convert each fraction to an equivalent fraction with the LCD as the new denominator. We multiply the numerator and denominator of 5/6 by 3 to get 15/18. Similarly, we multiply numerator and denominator of 7/9 by 2 to obtain 14/18.
So the fractions 5/6 and 7/9, when written with their LCD, are 15/18 and 14/18, respectively.
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divide 9x^2 square root by square root 18y^2
Write the equation of a line whose slope is -2 and passes through (-1,6). Write the answer in slope-intercept form.
translate the variable into word phrase 4b-2
solve the equation by completing the square 5x(x+6)=-50
To solve the equation 5x(x+6) = -50 by completing the square, we first isolate the quadratic term and then add the square of half the coefficient of x to both sides of the equation. Taking the square root gives us the solution x = -3 + i and x = -3 - i.
Explanation:
To solve the equation by completing the square, we first need to isolate the quadratic term on one side of the equation. So, let's distribute the 5x to get 5x^2 + 30x = -50. Next, we move the constant term to the other side and divide the equation throughout by the leading coefficient to get x^2 + 6x + 10 = 0.
Now, we can complete the square by adding the square of half the coefficient of x (which is 3) to both sides of the equation. This gives us (x + 3)^2 + 10 - 9 = 0, which simplifies to (x + 3)^2 + 1 = 0.
Taking the square root of both sides, we get x + 3 = ±√(-1), which means x = -3 ± i. Hence, the solution to the equation is x = -3 + i and x = -3 - i.
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Answers are appreciated! :D
The correct option is d. 8 oz. can of juice is most convenient to meet this requirement.
First, let's convert 240 milliliters to ounces because the answer choices are in ounces.
1 milliliter is approximately equal to 0.0338 ounces.
So, 240 milliliters is approximately \( 240 \times 0.0338 \) ounces, which is about 8.112 ounces.
Now, let's examine the options:
a. 5 oz. can of juice: Not enough juice. It's less than the required 8.112 ounces.
b. 4 oz. can of juice: Not enough juice. It's less than the required 8.112 ounces.
c. 12 oz. can of juice: More than enough juice. It's more than the required 8.112 ounces.
d. 8 oz. can of juice: Exactly the amount needed. It matches the required 8.112 ounces, which is the closest to the calculated amount of 8.112 ounces.
Therefore, the 8 oz. can of juice is the most convenient option to meet the requirement of having 240 milliliters of juice every 2 hours.
Tran drove his car at a constant speed of 55 mph.
Which is an equation for the distance Tran drove?
A. 55d=t
B. d=55t
C. t/d=55
D. 55/d=t
Plz help I think the answer is D am not sure.
The correct equation for the distance Tran drove at a constant speed of 55 mph is B. d = 55t.
In this equation:
"d" represents the distance in miles that Tran drove.
"t" represents the time in hours.
So, the distance "d" is equal to Tran's constant speed of 55 mph multiplied by the time "t" in hours, which is why the equation is written as d = 55t.
Option D is not the correct equation because it has the variables and constants in the wrong order.
The correct order is distance (d) on the left side of the equation, followed by the constant speed (55) and then the time (t) on the right side of the equation.
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