Answer:
30 is the correct answer because 3times 10 =30 5 times 6 is 30 and 10 times3 is also 30
Felicia is considering two companies for the installation of her new carpet. The carpet companies installation rates are shown.
Carpet Company A: C = 1.35y + 100 where c is the cost and y is the number of square yards.
Carpet Company B: This company charges $2.05 per square yard for the carpet and the installation.
Identity the unit rate in dollars per square yard for each carpet company.
Using linear function concepts, it is found that the unit rate in dollars per square yard is of $1.35 for Company A and of $2.05 per Company B.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.In this problem, for company A, the function is:
A: C = 1.35y + 100.
For company B, the function is:
B: C = 2.05y.
Considering the slopes, the unit rate in dollars per square yard is of $1.35 for Company A and of $2.05 per Company B.
More can be learned about linear function concepts at https://brainly.com/question/24808124
In a class of 27 students, 12 play an instrument and 6 play a sport. There are 13 students who do not play an instrument or a sport. What is the probability that a student chosen randomly from the class plays a sport?
The probability of a student chosen plays a sport is [tex]\frac{6}{27}[/tex]
What is probability?'Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.'
According to the given problem,
Total number of students = 27
Number of students playing a sport = 6
Number of students playing an instrument = 12
Number of students no playing a sport or instrument = 13
Probability = [tex]\frac{No of possible events}{Total number of students}[/tex]
= [tex]\frac{6}{27}[/tex]
Hence, we can conclude that the probability of a student chosen plays a sport is [tex]\frac{6}{27}[/tex].
Learn more about probability here: https://brainly.com/question/11234923
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The scale on a map reads 2 inches = 5 miles. What is the actual distance between two cities on the map that are 6.5 inches apart?
A. 2.6 miles
B. 13 miles
C. 32.5 miles
D. 16.25 miles
Answer:
D
Step-by-step explanation:
2:5 is the ratio for this problem. Divided 2 by 2 and divide 5 by 2. 1:2.5. Next, do 6.5 x 2.5.
-
5.
Graph f(x) = 5x – 1. Then, write and graph the inverse.
2A
Answer:
hello
5 x - 1
inverse = 1 / ( 5 x- 1 )
Step-by-step explanation:
What is the approximate volume of a baseball with a radius of 1.5 inches?
A.
7.1 cubic inches
B.
9.4 cubic inches
C.
10.6 cubic inches
D.
14.1 cubic inches
Answer: D. 14.1 cubic inches
Step-by-step explanation:
Formula for volume of a sphere: 4/3 x pi x radius cubed
Substitute: 4/3 x pi x 1.5 cubed
= 14.1
Answer:
14.13
Step-by-step explanation:
Sphere formula;
v = 4/3πr^3
Where pi is 3.14 or 22/7
R is the radius which is cubed
Substitute the radius(1.5) into the formula:
v = 4/3πr^3
v = 4/3 * 3.14 * 1.5^3
v = 4/3 * 3.14 * 3.375
v = 4/3 * 10.5975
v = 42.39/3
v = 14.13, our closest answer would be D.
The table below shows the combination of a dry prepacked mix and water to make concrete the mix says for every 1 gallon of water stir 60 pounds of dry mix . We know that 1 gallon of water is equal to 8 pounds of water . Using the information provided in the table , complete the remaining parts of the table . What belongs in Cell A?
Answer:
60
Step-by-step explanation:
1 pound of water to 60 pounds of dry mix
If 1 gallon of water = 8 pounds of water, then, we would have,
8 pounds of water to 60 pounds of dry mix
This implies that 8 pounds of water would stir 60 pounds of dry mix. Therefore, in the table showing both possible combinations, what we would have in cell A would be amount of dry mix that would be combined with 8 pounds of water = 60 pounds.
Cell A = 60 pounds
Which two integers does each square root lie between?
Write your answers using <.
a √12
b √30
c √75
Answer:
a. 2and 3 b.15 and 2 c. 5 and 3
There is a competition at the local movie theater for free movie tickets. You must guess
all four employees' ages given a few clues. The first clue is that when added together,
their ages total 106 years. Kirk is twice ten years less than the manager's age, Brian is 12
years younger than twice the manager's age, and Matt is 6 years older than half the
manager's age. What are all four of their ages? It may help to set up four let statements,
one for each employee (including the manager).
Answer:
Manager = 24
Kirk = 28
Brian = 36
Matt =18
Step-by-step explanation:
Let
The managers age = x
Kirk is twice ten years less than the manager's age
Kirk = 2(x - 10)
Brian is 12 years younger than twice the manager's age
Brian = 2x - 12
Matt is 6 years older than half the
manager's age.
Matt = 1/2x + 6
Total = 106 years
Add the four employees ages
x + 2(x-10) + (2x-12) + (1/2x + 6) = 106
x + 2x - 20 + 2x - 12 + 1/2x + 6 = 106
5x + 1/2x - 26 = 106
10x+x/2 = 106 + 26
11/2x = 132
x = 132 ÷ 11/2
= 132 × 2 / 11
= 264 / 11
= 24
x = 24
Managers age = x = 24 years
Kirk = 2(x - 10)
= 2(24 - 10)
= 2(14)
= 28 years
Brian = 2x - 12
= 2(24) - 12
= 48 - 12
= 36 years
Matt = 1/2x + 6
= 1/2(24) + 6
= 12 + 6
= 18 years
its proportion
please help ASAP
im offering 90 points
Here we can solve this question using Unitary Method . As ;
→ In 17hrs the boat travels 452km
→ In 1hr the boat will travel 452km/17
→ In 9hrs the boat will travel 452/17km * 9 = 239.29km
[tex]\rule{200}4[/tex]
Answer 1b:-→ A car can travel 156km on 13L gasoline .
→ It will travel 1km on 13/156L of gasoline .
→ It will travel 480km on 13/156*480L = 40L of gasoline .
[tex]\rule{200}4[/tex]
Answer 2a :-→ A boat can go 180 miles on 60L gasoline.
→ It will go 1mile in 60/180L of gasoline.
→ It will go 306 miles in 60/180*306L = 102L of gasoline .
[tex]\rule{200}4[/tex]
Answer 2b :-→ On 51L of gasoline a car can go 408km
→ On 1L of gasoline car will go 408/51 km
→ On 11L of gasoline it will go 408/51*11L = 88km
[tex]\rule{200}4[/tex]
if 2:4=x:16 find the value of x
Answer:
x = 8 is the answer
Step-by-step explanation:
2:4 = x : 16
x = 8
Answer: 8
Step-by-step explanation:
given:
2:4=x:16
2×16= 4x
32/4 = x
x=8
Mrs jaffa has 48 starbursts and 64 skittles. she wants to package them in a plastic bag so that each bag has an equal number of starbursts and an equal number of skittles. what is the greatest number of bags mrs.jaffe can put together with pieces of candy left over
Answer:
The answer is 7
Step-by-step explanation:
48 and 64 is 112, divided by 7 would be 16, so Mrs.Jaffa would use 7 bags in all. Hope this helps
Fill in the missing numbers to complete the pattern:
5.28,5.53, ? , ? 6.28,6.53
Answer:
5.78,6.03
Step-by-step explanation:
the function is .25
The price of one pair of shorts is $45.00. There is a 15% discount if you purchase four or more pairs. What is the total cost, before tax, for six pairs of shorts? (1 point)
O $180.00
$205.50
$229.50
$235.50
Answer:
$229.50
Step-by-step explanation:
Given;
The price of one pair of shorts is $45.00.
There is a 15% discount if you purchase four or more pairs
To FInd;
What is the total cost, before tax, for six pairs of shorts?
Solve:
Since one pair of shorts is $45
Then six pairs of shorts =
$45 x 6 = $270
Now it also says "There is a 15% discount if you purchase four or more pairs". So we buy six pairs thus, it more than four.
Hence,
$270 x 15% = 40.50
$270 - 40.50 = 229.50
Hence, Answer = $229.50
~Learn with Lenvy~
Find the ratio of the volume divided by the temperature for the first data pair. Use significant figures. V / T = 0. 72/276 =.
The ratio of the volume divided by the temperature for the first data pair is 0.0026 using the significant figures.
What is a ratio of two numbers?The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.
The value of the volume is 0.72 and the value of temperature is 276 for the first data pair. The image of all the values of the volume and temperature table is attached below.
The ratio of the volume to the temperature is,
[tex]\dfrac{V }{ T} =\dfrac{ 0. 72}{276 }\\\dfrac{V }{ T} =0.002608695652[/tex]
The above value is the ratio of volume to the temperature. Now this value has to be written with significant figure.
Let's correct the value, after the 4 places of the decimal point. As the value of fifth place is zero, then the value of 4 place will remain as it is.
Thus, the ratio is,
[tex]\dfrac{V }{ T} =0.0026[/tex]
The ratio of the volume divided by the temperature for the first data pair is 0.0026 using the significant figures.
Learn more about the ratio of two numbers here;
https://brainly.com/question/831500
Whats the difference to 5,673+4,811-2,429
Answer: 8055
Step-by-step explanation:
(6x + 6) + ( -3 - 4x )
Answer:
2x+3 :)
Step-by-step explanation:
21 Point T at (3,5) is reflected across the y-axis.
What quadrant would the reflection be in?
A. quadrant 1
B. quadrant 2
C. quadrant 3
D) quadrant 4
Answer:
If the point is at (3,5) it would be in quad 1, reflecting it over the y axis would put it in quad 2, making it B.
During a heavy storm, rain falls for 4.2 hours through the night. A weather station monitors the rain by measuring the milliliters of water it takes to fill a container. How many milliliters of rain will fill the container if the rain falls at a rate of 3 quarts per 39 minutes? Round to one decimal.
Answer: 18,359.2 mL
Step-by-step explanation:
We know that the rain lasted for 4.2 hours.
Each hour, has 60 minutes.
Then the time of the rain was = 4.2*60min = 252 min.
Now, we know that the rate of the rain is 3 quarts per 39 minutes.
Then the total amount of rain, in quarts, will be:
R = (252min/39min)*3 quarts = 19.4 quarts.
But we want this answer in milliliters, then we can use the relation:
1 quart = 946.353 mL
Then 19.4 quarts are equal to: 19.4*(946.353 mL) = 18,359.2 mL
Help! I will Award Brainlist it's A Math Question Point C maps to which point?
G
Just observe both pictures
The similarity is given by
B~HC~GD~FA~EHence option B is correct
The midpoint of AB is M (0,-3). If the coordinates of A are (2,1), what are the coordinates of B?
Answer:
(-2, -7)
Step-by-step explanation:
For the x-coordinate:
[tex](2+x)/2=0\\x=-2[/tex]
For the y-coordinate
[tex](1+y)/2=-3\\y=-7[/tex]
is 3/5 + 3/5 negative or positive
Answer:
positive
Step-by-step explanation:
when there is no sign in front of the numbers, we can assume that the numbers are positive
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of each ingredient should you use to make 32 pints of fruit punch?
Answer:
So you have the ratio of
1 : 2 : 5
Soda water : fruit punch: ginger ale
You have to make 32 pints of this.
You can add up the ratio.
1 + 2 + 5 = 8
You’d have 8 ingredients in total.
32 pints so 32/8 = 4
Now you have each ingredient *4
1 * 4 = 4
2* 4 = 8
5* 4 = 20
SO 4 soda water, 8 fruit punch, 20 ginger ale.
To check you can add these up again and if they equal 32 then you got it.
A bird is sitting 8 feet from the base of a willow tree and flew 17 feet to reach the top of the tree. How tall is the tree?
Answer:
15
Step-by-step explanation:
a^2+b^2=c^2
8^2+b^2=17^2
64+b^2=289
-64 -64
b^2=225
√225
b=15
Which of the following options have the same value as
65% of 20?
Choose 2 answers:
Answer:
A) 0.65 · 20
D) [tex]\mathsf{\dfrac{65}{100} \cdot 20}[/tex]
Step-by-step explanation:
To find 65% of 20:
Method 1
65% in decimal form is: 65% = 65/100 = 0.65
Therefore, to find a percentage of a number, multiply the percentage in decimal form by the number:
[tex]\mathsf{\implies 65\% \ of \ 20 = 0.65 \cdot 20}[/tex]
Method 2
Divide the number by 100 to get 1%, then multiply this by 20 to get 20%.
[tex]\mathsf{\implies \dfrac{65}{100} \cdot 20}[/tex]
~The word "of" stands for multiplication.~
65/100 × 20 [65% = 65/100]Step-2: Verify all the optionsOption A) 0.65 × 20
~0.65 can be converted to fraction, which is 65/100.~
⇒ 65/100 × 20 = 65/100 × 20 [0.65 = 65/100]~This expression correctly matches with the resulting expression.~
Thus, option A is correct.
Option B) 65/100 ÷ 20
⇒ 65/100 ÷ 20 = 65/100 × 20This could've been equivalent to the resulting expression. However, the expression has a division sign.
Thus, Option B is incorrect.
Option C) 65/20 × 100
~To avoid confusion, let's further solve the expression.~
65/20 × 100⇒ 65/1 × 5⇒ 325~Now, let's solve the resulting expression.~
65/100 × 20⇒ 65/100 × 20⇒ 65/5 × 1⇒ 13~Since 13 does not equal 325, "65/20 × 100" does not equal "65/100 × 20".~
Thus, option C is incorrect.
Option D) 65/100 × 20
~This equation is the resulting equation.~
Thus, option D is correct.
Option E) 65 × 20
~To avoid confusion, let's further solve the expression.~
65 × 20 ⇒ 650 × 2⇒ 1300~Now, let's solve the resulting expression.~
65/100 × 20⇒ 65/100 × 20⇒ 65/5 × 1⇒ 13Since 1300 does not equal 13, 65 × 20 does not equal 65/100 × 20.
Thus, option E is incorrect.
Step-3: Make a conclusionOption A and D were equivalent to 65/100 × 20.
shanna uses 4 inches of string for each balloon she makes. How many yards of string does need to make 18 balloons? Use the diagram to help solve.
x y graph
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
How many phone numbers are possible in the (770) area code if:
For the form ABC-XXXX, A is restricted to numbers 2-9. B, C, and X can be any digit 0-9. Also, the number 867-5309 is not used.
A. 6,999,999
B. 7,000,000
C. 7,999,999
D. 8,000,000
Answer:
C = 7,999,999
Help me please!!! I need HELP
Answer:
Angle E is 54* and Angle F is 126* , Angle d is 90*
Step-by-step explanation:
2 times 8 dividedn by one
Answer:
16
Step-by-step explanation:
2*8=16
16/1=16
21 is what percent of 12?
Answer:
Step-by-step explanation:
57.14
Answer this quick !!!
Answer:
37: 2, 4, 0, and 9
38: 6 - (-6) = 12
39: A, B, and D
Step-by-step explanation:
The domain of a function is the set of all possible inputs for the function
The range of a relation is the set of the second coordinates from the ordered pairs.
37: 2, 4, 0, and 9
38: 6 - (-6) = 12
39: A, B, and D
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