To determine if Patrick has enough yarn left to make a scarf, subtract the amount of yarn used for the hat from the total amount of yarn, and then compare it with the amount needed for the scarf.
Explanation:In this question, we are given that Patrick has a 600-meter spool of yarn. He used 8.9 minutes of yarn to make a hat. We need to determine if he has enough yarn left to make a scarf that uses 350 meters of yarn.
To solve this problem, we need to subtract the amount of yarn used for the hat from the total amount of yarn, and then compare it with the amount needed for the scarf.
Let's calculate:
Amount of yarn used for the hat: 8.9 minutesAmount of yarn left: 600 - 8.9 = 591.1 metersAmount of yarn needed for the scarf: 350 metersSince the amount of yarn left (591.1 meters) is greater than the amount needed for the scarf (350 meters), Patrick has enough yarn left to make the scarf.
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Write an equation for a rational function that has a vertical asymptote at x=1 and a hole at x=3
On a given blueprint, 1 inch=12 feet. if the dimensiopns of a recreation room on the blueprint are 2 onches x 1.75 inches. what are its actual measurements
Unit conversion is the conversion of one unit to another unit with its standard conversion.
The actual dimension of the recreation room is 24 feet x 21 feet.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 km = 1000 m
1m = 100 cm
1 hour - 60 minutes
We have,
Recreation room dimension on the blueprint:
= 2 inches x 1.75 inches ______(A)
Scale factor:
1 inch = 12 feet
The actual dimension of the recreational room:
1 inch = 12 feet
Multiply 2 on both sides.
2 inches = 24 feet _____(1)
1 inch = 12 feet
Multiply 1.75 on both sides.
1.75 inches = 1.75 x 12 feet
1.75 inches = 21 feet ______(2)
From (1) and (2) and (A) we get,
= 2 inches x 1.75 inches
= 24 feet x 21 feet
Thus,
The actual dimension of the recreation room is 24 feet x 21 feet.
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The area of a rectangle is 45 square inches. The rectangle is 9 inches long. How wide is the rectangle?
A. 5 inches
B. 36 inches
C. 27 inches
D. 3 inches
Final answer:
To find the width of a rectangle with an area of 45 square inches and a length of 9 inches, divide the area by the length, resulting in a width of 5 inches (Option A).
Explanation:
The area of a rectangle can be calculated by multiplying its length by its width. In this case, we know the area is 45 square inches and the length is 9 inches. To find the width, we divide the area by the length.
Width = Area ÷ Length = 45 sq in ÷ 9 in = 5 in
Therefore, the width of the rectangle is 5 inches, which corresponds to option A.
Is an equation that has 0 for a solution the same as an equation with no solution?
Please help thank you!
Um navio esta situado exatamente a 10 milhas a leste de um ponto A. Um observador, situado exatamente a sul do navio, ve o ponto A sob um angulo de 40°. Qual a distância entre o observador e o navio?
Which ordered pairs are a solution to the equation?
y = 3x
Select all that apply.
(-1,3)
(2,5)
(1,3)
(-2,-6)
What is Henry's speed
Help pleaseeeeeee!!!!!
Solve these Multi-Step Equations (include work): 6-8, 9 & 10 (is the equation right? if not please help)
Write the expression in algebraic form. [hint: sketch a right triangle.] tan(arcsec(x/3))
Sketch a right triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x” and assigning angle “a” as the angle between A and H. Using Pythagorean theorem, you will get “square root of x-squared minus 9” as the opposite side (O). Using SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) = x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.
The point slope of a line that has a slope of -2 and passes through point (5,-2) is shown below. Which equation is in slope intercept form?
Answer:
B. y=-2x+8
Step-by-step explanation:
edge
While catching fireflies, you and a friend decide to have a competition. After mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. How many fireflies are caught each minute during the competition?1m+7 fireflies are caught per minute.
b. How many fireflies are caught before the competition starts? fireflies are caught before the competition starts.
Answer: the equation is 7m + 19
Step-by-step explanation:
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 65 miles per hour. How long will it take for the two trains to be 196 miles apart?
What is the length of side AB
How many times larger is a 10-pound dog than a hamster weighing 5/8 pound?
How to turn a fraction into a percentage?
A car travels 252 miles in 5 hours and 15 minutes. how many miles does it travel per hour?
Answer:
48 miles per hour
Step-by-step explanation:
5hrs and 15minutes = 315minutes
If 252 = 315
x = 60
By cross multiplication
315x = 60 * 252
315x = 15,120
x = 15120/315
x = 48 miles per hour
A firework exploded 1,360 meters away and the sound of the firework took 4 seconds to reach you. At what speed did the sound travel?
Answer:
Speed of sound, v = 340 m/s
Step-by-step explanation:
It is given that,
A exploded 1360 meters away, d = 1360 meters
time taken, t = 4 seconds
We need to find the speed of the travelled sound. Speed of sound is equal to the distance covered divided by total time taken i.e.
[tex]v=\dfrac{d}{t}[/tex]
[tex]v=\dfrac{1360\ m}{4\ s}[/tex]
v = 340 m/s
So, the speed with which sound is travelled is 340 m/s. Hence, this is the required solution.
Erin had $35 more than Angie who had 3 times as as money as Jacob. If they had $196 altogether, how much money did Jacob have?
Which statement correctly describes the relationship between △RST and △R’S’T?
find the perimeter of a ruler that measures 12 inches by 7/8 inch.
HELP ASAP 115 points please hurry...
help asap please hurry...15 points.
Clara estimates that the length of a hiking trail is 10 km. She later learns that its actual length is 12 km.
What is the percent error in Clara's estimate?
.002%
8.0%
0.2%
11.5%
Experimental value = 10 km
accepted value = 12 km
Step 1: Deduct the accepted value from the experimental value.
10 km – 12km = -2 km
Step 2: Take the absolute value of step 1
|--2km| = 2km
Step 3: Divide that answer by the accepted value. 2km/10km = 0.2%
A video game arcade offers a yearly membership with reduced rates for game play. A single membership costs $60 per year. Game tokens can be purchased by members at the reduced rate of $1.00 per 10 tokens. Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Check all that apply. The slope of the function is $1.00. The y-intercept of the function is $60. The function can be represented by the equation y = 1/10x + 60. The domain is all real numbers. The range is {y| y ≥ 60}.
Keith's florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements in the greenville, south carolina, area. of these 15 trucks, 5 have brake problems. a sample of 4 trucks is randomly selected. what is the probability that 2 of those tested have defective brakes?
Answer:
Hence, the probability is:
0.296
Step-by-step explanation:
This can be solved with the help of the binomial probability as:
[tex]P(x=r)=n_C_rp^r(1-p)^{n-r}[/tex]
where n denote the quantity which are chosen.
r denote the quantity whose probability is to be determined or success.
and p denote the probability of success.
with n=4 since 4 trucks are randomly selected.
p=5/15=1/3 ( As 5 have brake problems out of total 15 trucks)
1-p=10/15=2/3
r=2 ( since we are asked to find the probability that 2 of those tested have defective brakes)
Hence, the probability is:
[tex]P(x=2)=4_C_2(\dfrac{1}{3})^2(\dfrac{2}{3})^2\\\\\\P(x=2)=\dfrac{4!}{2!\times (4-2)!}\times \dfrac{1}{9}\times \dfrac{4}{9}\\\\\\P(x=2)=0.296[/tex]
Hence, the probability is:
0.296
Given that BC = 7, AB = 17.89, and C is between A and B, what is the length of ?
I need help with 13 please ASAP
338.50 - 45 = 293.50 was spent on tolls
293.50 / 14 = 20.96
so 21 tolls
Find three consecutive even integers such that the sum of twice the smallest number and three times the largest is 42.
What is the value of x?
Enter your answer in the box.
x =
°
Triangle A B C with angle A measuring thirty degrees, angle B measuring seventy degrees and angle C marked x
Answer: In a triangle, the sum of the 3 angles is always equal to 180°
Then if the angle A is equal to 30°, the angle B is equal to 70°, what is the angle C?
if x is the angle C, and using the first statement, we got:
30° + 70° + x = 180°
100° + x = 180°
x = 180° - 100° = 80°
So the angle of C is equal to 80°.
Which equation could be used to solve the problem?
Mr. Guzman drove his car 1080 miles in 6 weeks.
If he drove the same distance every week, which equation shows how far he drove each week (d)?
A.
d = 6 ÷ 1080
B.
d = 1080 – 6
C.
d = 1080 • 6
D.
d = 1080 ÷ 6
Mr. Guzman drove 1080 miles in 6 weeks. To find the distance driven each week, use the equation d = 1080 ÷ 6, which equals 180 miles per week. Therefore, the correct equation is option D.
Mr. Guzman drove 1080 miles in 6 weeks. We need to find out how far he drove each week if he drove the same distance every week.
Identify the Total Distance Driven: 1080 milesIdentify the Total Time Period: 6 weeksSet Up the Equation: Since Mr. Guzman drove the same distance every week, we use the formula:
d = Total Distance / Total Time.Substitute Known Values:
d = 1080 ÷ 6Calculate the Result:
d = 180 miles per weekThe correct equation that shows how far Mr. Guzman drove each week is d = 1080 ÷ 6, which corresponds to option D.