Hey there! I'm happy to help!
The Greatest Common Factor is self-explanatory: it is the largest factor that both numbers have in common. Let's look at the factors of each of these numbers:
30: 1, 30, 2, 15, 3, 10, 5, 6
45: 1, 45, 3, 15, 5, 9
We see that the largest number they both have in common is 15, so the GCF is 15.
Have a wonderful day! :D
The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby
12
1
1 14 11
1
1
1121
13 ft
! 11 ft
31 tt
Part A: What is the total area of the hotel lobby floor?
ft?
Part B: If the new carpet costs $1.75 per square foot, how much with the hotel spend on new carpet?
Answer:.
Step-by-step explanation:
Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his own bowling shoes, bowls 4 games and buys a soda for $0.50. Both friends spend the same amount of money. Show how you can write and solve an equation to find the cost of one game.
Answer: The cost of each game is $2.50
Step-by-step explanation:
Let's find the equations for each friend:
Friend 1:
Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:
$3 + 3*X
Friend 2:
This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:
$0.50 + 4*X
And we know that both friends pay the exact same amount, then we can write:
$3 + 3*X = $0.50 + 4*X
And solve this for X.
We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:
$3 - $0.50 = 4*X - 3*X
$2.50 = (4 - 3)*X = X
This means the cost of each game is $2.50
Logan multiplied 54,216 by a number less than 1. He thinks the product will be greater than 54,216. Explain why he is incorrect.
He is incorrect because anything mutipled by 0 is 0!
Calculate the total cost for each item.
6. A computer for $450.00 and a 6% sales tax. _____________________________________
7. A pair of pants for $75.00 and a 5% sales tax. ___________________________________
Answer:
1. 423 2. 71.25
Step-by-step explanation:
450.00-6%=423
75.00-5%= 71.25
The high for a winter day in Sitka,
AK was 10 degrees below zero. The
low for the same day was 25
degrees below zero. What was the
range of temperatures for the day?
Answer:
The maximum temperature will be -10°C, then if T represents the temperature, we can write this as:
T ≤ -10°C
And the minimum temperature will be -25°C, then we must have that:
T ≥ -25°C
if we use both conditions, we will have:
-25°C ≤ T ≤ -10°C
We can write this range:
[-25°C, -10°C]
Where the [] symbols mean that the extremes are possible temperatures.
The length of the range will be:
-10°C - 25°C = 15°C.
A scuba diver is 20 feet below the surface of the water 14 seconds after he entered the water and 100 feet below the surface after 30 seconds. What is the scuba divers rate of change?
Answer:
1 foot = 0.7 secs
Step-by-step explanation:
14 seconds divided by 20 feet = 0.7 seconds per foot descended.
Hope this helps and good luck :)
Mikah and Gracie were running laps at the local gym. Mikah ran 1 and 4/8 laps, and Gracie ran 1 and 1/2 laps. Who ran a further distance?
Answer:
Trick question they both ran equal distance
Step-by-step explanation:
Gracies distand 1 and 1/2 is already in simplist form, but Mikahs distance 1 and 4/8 can be reduced.
More specifically the fration 4/8 can be reduced, finding the largest common multiple between 4 and 8 we find that 4 is the largest number that goes into both.
This results in the simplification of 1 and 4/8 to 1 and 1/2 which is the same as Gracies distance.
What the factor equivalent to x2 + 11x + 24
Answer:
13x + 24 or 37
Step-by-step explanation:
one of those answers.
Hope this helps and GOOD LUCK :)
Which of the following is a fifth degree trinomial with a quadratic term and a negative leading
coefficient?
There are three times as many girls as boys in a school .Find an expression in term of x for the total number of student in school ,where x represent the number of boys in the school
Answer:
Total number of students = 4x
Step-by-step explanation:
Let the number of boys be x
Since, no of girls = 3 times the no of boys
So, number of girls = 3x
Total number of students = no of boys + no of girls
Total number of students = x + 3x
Total number of students = 4x
Answer:
The total number of students is 4x
Step-by-step explanation:
Hope this helped have an amazing day!
Look at points C and D on the graph. What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. I REALLY NEED IT FAST
Answer:
The distance between points C and D is 5.83
Step-by-step explanation:
We need to find distance between points C and D
Looking at the graph we can find coordinates (x,y) of points C and D
Coordinates of point C are: (-4,3)
Coordinates of point D are: (1,0)
The formula used to calculate Distance is:
[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}[/tex]
Putting values and finding distance between points C and D
[tex]x_1=-4, y_1=3, x_2=1, y_2=0[/tex]
[tex]Distance=\sqrt{(x_2-x_1)^+(y_2-y_1)^2}\\Distance=\sqrt{(1-(-4))^2+(0-3)^2} \\Distance=\sqrt{(1+4)^2+(-3)^2} \\Distance=\sqrt{(5)^2+(-3)^2} \\Distance=\sqrt{25+9}\\Distance=\sqrt{34}\\ Distance=5.83[/tex]
So, the distance between points C and D is 5.83
Again|||||||||||||||||||||||||||
Answer:
thank you so much have a great day!!!<3
Step-by-step explanation:
6. Which graph best represents the solution set of y>3 x-4?
The required graph of the solution to the given inequality y>3 x-4 has shown.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Given inequality,
y > 3x-4
Illustrating the above inequality on the coordinate plane, the yellow shaded region shows the solution of the given inequality y > 3x-4.
Thus, the required graph of the solution to the given inequality y>3 x-4 has shown.
Learn more about inequality here:
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What is the simplified form of 15 x to the eighth power over 24 y to the fifth power divided by 4 x to the fourth power over 8 squared ? (6 points)
4 y cubed over 5 x to the fourth power
4 y to the fourth power over 5 x cubed
5 x to the fourth power over 4 y cubed
5 x cubed over 4 y to the fourth power
Answer:
5 x to the fourth power over 4 y cubed
the dimensions in a rectangle are in the ratio 3:7. if the width is 18 cm, what is the length?
Answer:
42cm
Step-by-step explanation:
3:7
width:length
18cm width(7cm length/3cm width)=42cm length
Please answer correctly !!!!!!!!!!!! What is the triangle ?!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Isosceles Right
Isosceles, since the two side lengths are equal, and it is a right triangle since it has a 90 degree angle and two other 45 degree angles.
Answer:
Isosceles Right
Step-by-step explanation:
jason sees that 2 out of every 5 cars that passes by his house has the windshield wipers on. What is the probability that that of the next 4 cars that pass his house, 2 will have their windshield wipers on?
please help!! I'm going to fail!!
Answer:
3rd one
Step-by-step explanation:
look t the form x equals up to a diviser
Why do parallel lines never cross?
Answers Are
Answer:
C. Because they have the same slopes and different y-intercepts
Step-by-step explanation:
Answer:
Your answer would be the 3rd one.
Because they have the same slopes and different y-intercepts.
I hope that this is the answer you were looking for!
Have a great day!
What is the value of f(-1)?
O f(-1) = -3
Of(-1) = -1
O f(- 1) = 0
Of(-1) = 6
Answer: C: f(-1)=0
Step-by-step explanation:
To find f(-1), we look for the value under f(x) that corresponds to x=-1. This value is 0.
4r + 8 + 5 = -15 - 3r solve for r
Calculate the sales tax for each item.
1. A sweater for $19.99 and a 6% sales tax. _______________________________________
2. A purse for $45.00 and a 5% sales tax.___________________________________________
3. A bicycle for $120.00 and a 7% sales tax.________________________________________
4. A TV for $3000.00 and a 4% sales tax.___________________________________________
5. A radio for $35.00 and a 6% sales tax.____________________________________________
Answer:
$19.99 + $1.19 tax = $21.18$45.00 + $2.25 tax = $45.25$120.00 + $8.40 tax = $128.40$3,000.00 +$120.00 tax = $3,120.00$ 35.00 + $2.10 tax = $37.101. The sales tax of a sweater = $1.2
2. The sales tax of a purse = $2.25
3. The sales tax of a bicycle = $8.4
4. The sales tax of a TV = $120
5. The sales tax of a radio = $2.1
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."
Given:
1. A sweater for $19.99 and a 6% sales tax.
The sales tax of a sweater = 19.99 x 0.06 = $1.2
2. A purse for $45.00 and a 5% sales tax.
The sales tax of a purse = 45 x 0.05 = $2.25
3. A bicycle for $120.00 and a 7% sales tax.
The sales tax of a bicycle = 120 x 0.07 = $8.4
4. A TV for $3000.00 and a 4% sales tax.
The sales tax of a TV = 3000 x 0.04 = $120
5. A radio for $35.00 and a 6% sales tax.
The sales tax of a radio = 35 x 0.06 = $2.1
Therefore, all the required sales tax is given above.
To learn more about the percentage;
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Find the inverse function of f(x)=−32x+4
(Hint: f(x) is the same thing as y. Swap your x and y then get in slope-intercept form (y= form))
f−1(x)=____x+____=____
Need help asap!! plss
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
The third side is 3√6 units.
Step-by-step explanation:
Given that this is a 90° triangle so you can apply Pythagoras Theorem :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex] {a}^{2} = {( \sqrt{90}) }^{2} - {6}^{2} [/tex]
[tex] {a}^{2} = 90 - 36[/tex]
[tex] {a}^{2} = 54[/tex]
[tex]a = \sqrt{54} = \sqrt{9 \times 6} = 3 \sqrt{6} [/tex]
just use theorem pythagoras
I NEED HELP ASAP IT IS FOR CHRISTMAS!!!!!!THESE ARE ALL MY POINTS!!
If three kids that want to buy something that cost $35.99 how much would each of them have to pay? Any ideas for what i should get my mom and dad?!!!! please help
Answer:
They should pay $12 each
Answer:
about 12 dollars probably more with tax maybe around 12.03
True or False. Exponential Functions will create a straight line on a graph
Answer:
False
Step-by-step explanation:linear functions will create a straight line on a graph, exponentials will not.
In a recent survey of 247 nurses, 162 were unhappy with their jobs due to the difficult working hours and work-related stresses. Find the percent unhappy with their jobs.
Answer:
162 is 65.587044534413% of 247
rounded its 66%
Step-by-step explanation:
Answer:
162/247×100=67%
Step-by-step explanation:
Maria takes 2 hours to plant 50 flower bulbs. Lois takes 3 hours to plant 45 flower bulbs. Working together, how long should it take them to plant 150 bulbs?
Answer:
Maria: (50 bulbs)/(2 hours) = 25 bulbs/hour
Lois: (45 bulbs)/(3 hours) = 15 bulbs/hour
Together: 25 + 15 = 40 bulbs/hour
(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours
(3/4 hours)(60 minutes/hour) = 45 minutes
Total time: 3 hours 45 minutes
Plz help The population of a specific species of a nocturnal mammal is decreasing at a rate of 3.5%/year. The graph models the number of mammals x years after they were originally counted
How many mammals were there when they were originally counted?
Enter your answer in the box
Answer:
The y-intercept represents the number of mammals when they were originally counted.
The y-intercept.is 75.
The asymptote indicates that the number of mammals counted when the study began was 120.
The asymptote indicates that as years pass, the number of mammals will approach 0.
Step-by-step explanation:
im a lil late but here ya go and for anyone further who needs these answers.. Its kind of obvious thugh just by looking at the graph what the answers are.