Answer:
The two numbers are 15 and 6.
Step-by-step explanation:
Given:
The difference between two numbers is 9.
The first number plus twice the other number is 27.
Now, to find the two numbers.
Let the first number be [tex]x.[/tex]
And the other number be [tex]y.[/tex]
So, the difference between two numbers is 9.
[tex]x-y=9[/tex]
[tex]x=9+y[/tex] ............(1)
As, given the first number plus twice the other number is 27.
According to question:
[tex]x+2y=27[/tex]
Substituting the value of [tex]x[/tex] from equation (1):
[tex](9+y)+2y=27\\9+y+2y=27\\9+3y=27[/tex]
Subtracting both sides by 9 we get:
[tex]3y=18[/tex]
Dividing both sides by 3 we get:
[tex]y=6.[/tex]
The other number = 6.
Now, substituting the value of [tex]y[/tex] in equation (1):
[tex]x=9+y\\x=9+6\\x=15.[/tex]
The first number = 15.
Therefore, the two numbers are 15 and 6.
Raphael runs every day for several weeks. He runs for 35 days in a row. How many weeks did he run?
Answer:
5 weeks
Step-by-step explanation:
There are 7 days in a week.
5 weeks * 7 days = 35 days.
Raphael ran for a total of 5 weeks.
To calculate how many weeks Raphael ran, we need to divide the number of days he ran by the number of days in a week.
Raphael ran for 35 days.
Since there are 7 days in a week, we divide 35 by 7:
35 days / 7 days per week = 5 weeks
Therefore, Raphael ran for 5 weeks.
What is the area of the rectangle, in square centimeters?
A rectangle with length 12 centimeters and width 5 centimeters.
17
34
30
60
Answer:
The answer is 60 this is because in order yo get area you have to times the length by width
Step-by-step explanation:
Which mathematical symbol would best fill in the blank to compare the two real numbers?
square root of 2 blank 1.8 repeating
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>
=
≈
Need help with ixl please give right answer fill in the blanks please
Answer:
y=2x-8
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept value.
It says the slope is 2, so we know that y = 2x+b. To find b, plug in a point given. We are given (9,10), so plug that into the equation, where y = 10 and x = 9. 10=2(9)+b, solve for b.
b equals -8, so the answer is y=2x-8.
Answer:
y= 2x - 8
Step-by-step explanation:
lol lol wont let me submmitttt
A fish tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320 pi cubic feet. What is the radius, in feet, of the fish tank?
A. 16
B. 10
C. 8
D. 4
Answer:
4 feet
Step-by-step explanation:
From the question, we are given;
Height of the cylinder as 20 ft Volume of the cylinder as 320 piWe are required to find the radius of the cylinder fish tank;
We need to know that the volume of a cylinder is given by;Volume = pi × r² × h
Rearranging the formula;
r² = V ÷ pi × h
Therefore;
r² = 320 pi ÷ (pi × 20 ft)
= 16
Thus;
r = √16
= 4 ft
Therefore, the radius of the fish tank is 4 feet.
PLEASE HELP ME!! 20 PTS TO ANSWER Write a linear equation that contains the ordered pair shown in the table below:
y = -2x + 1
y = 2x + 1
y = 2x - 1
y = -2x -1
Answer:
y=2x+1 is the correct answer
Find the coordinates of the midpoint of the line segment with the endpoints C(1,0) and D(5,4)
Answer:
(3, 2 )
Step-by-step explanation:
Given the endpoints are (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ 0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) [
Here (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 4), thus
midpoint = [0.5(1 + 5), 0.5(0 + 4) ] = (0.5(6), 0.5(4)) = (3, 2 )
Answer:
(3,2)
Step-by-step explanation:
To find a midpoint of two given points, we can use the formula:
[tex](x_{m} ,y_{m} ) = (\frac{x_{1} +x_{2} }{2} , \frac { y_{1} +y_{2}}{2})[/tex]
(i.e. we just take the average of the x coordinates, and similarly, the average of the y coordinates).
so we get:
midpoint = ( (1+5)/2, (0+4)/2 )
= (3, 2)
3x +y = 14
Rewrite equation in slope intercept form solve for y
To rewrite the equation in slope-intercept form and solve for y, we isolate y on one side of the equation by subtracting 3x from both sides. The resulting equation is y = -3x + 14.
Explanation:To rewrite the equation in slope-intercept form and solve for y, we need to isolate y on one side of the equation.
Given the equation 3x + y = 14, we can start by subtracting 3x from both sides to get y alone.
The equation becomes y = -3x + 14, which is now in slope-intercept form (y = mx + b) where the slope (m) is -3 and the y-intercept (b) is 14.
Learn more about rewriting equations in slope-intercept form here:https://brainly.com/question/29095684
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A store is having a sale on jelly beans and almonds. For 6 pounds of jelly beans and 2
pounds of almonds, the total cost is $16 . For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $13. Find the cost for each pound of jelly beans and each pound of almonds.
The cost of each pound of jelly beans is $ 2.25 and cost of each pound of almond is $ 1.25
Solution:
Let the cost of each pound of jelly beans is "a"
Let the cost of each pound of almond is "b"
For 6 pounds of jelly beans and 2 pounds of almonds, the total cost is $16
Therefore, we frame a equation as:
6 pounds of jelly beans x cost of each pound of jelly beans + 2 pounds of almonds x cost of each pound of almond = 16
[tex]6 \times a + 2 \times b = 16[/tex]
6a + 2b = 16 --------- eqn 1
For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $13
Therefore, we frame a equation as:
3 pounds of jelly beans x cost of each pound of jelly beans + 5 pounds of almonds x cost of each pound of almond = 13
[tex]3 \times a + 5 \times b = 13[/tex]
3a + 5b = 13 ----------- eqn 2
Let us solve eqn 1 and eqn 2
Multiply eqn 2 with 2
6a + 10b = 26 --------- eqn 3
Subtract eqn 1 from eqn 3
6a + 10b = 26
6a + 2b = 16
( - ) -------------------------
8b = 10
[tex]b = \frac{10}{8} = 1.25[/tex]
b = 1.25Substitute b = 1.25 in eqn 1
6a + 2(1.25) = 16
6a + 2.5 = 16
6a = 13.5
a = 2.25Thus cost of each pound of jelly beans is $ 2.25 and cost of each pound of almond is $ 1.25
Which shows the prime factorization of 36?
A.) 2 x 2 x 2 x 3
B.) 2 x 2 x 3 x 3
C.) 2 x 2 x 9 x 1
D.) 2 x 3 x 3 x 3
Thanks, after TWO people answer I will pick the best answer and give brainlest, don't bug me for it in your answer please!
Answer:
the answer is b.)
Step-by-step explanation:
2×2=4×3=12×3=36
For his coffee shop, Abdul wants to make a mocha-java blend that will sell for $18/kg. The mocha coffee beans sell for $20/kg, and the java coffee beans sell for $15/kg. How many kilograms of each kind of coffee bean should he use to make 50 kg of the mocha-java blend?
30 kg of mocha coffee bean and 20 kg of java coffee bean should be used to make 50 kg of mocha java blend that will sell for $ 18 per kg
Solution:
Let "x" be the kilogram of mocha coffee beans
Let "y" be the kilogram of java coffee beans
Cost of 1 kg of mocha coffee bean = $ 20
Cost of 1 kg of java coffee bean = $ 15
Kilograms of each kind of coffee bean should he use to make 50 kg of the mocha-java blend
Cost of 1 kg of mocha java blend = $ 18
From given information,
Mocha coffee beans and java coffee beans are mixed to get 50 kg of blend
Therefore,
[tex]x + y = 50 ------------ eqn 1[/tex]
Abdul wants to make a mocha-java blend that will sell for $18/kg
Therefore, we frame a equation as:
(kilogram of mocha coffee beans) x (Cost of 1 kg of mocha coffee bean) + (kilogram of java coffee beans) x (Cost of 1 kg of java coffee bean) = Cost of 1 kg of mocha java blend x 50 kg
Thus we get,
[tex]x \times 20 + y \times 15 = 18 \times 50\\\\20x+15y = 900 ------------ eqn 2[/tex]
Let us solve eqn 1 and eqn 2
From eqn 1,
x = 50 - y -------- eqn 3
Substitute eqn 3 in eqn 2
20(50 - y) + 15y = 900
1000 - 20y + 15y = 900
5y = 100
y = 20Substitute y = 20 in eqn 3
x = 50 - 20
x = 30Thus 30 kg of mocha coffee bean and 20 kg of java coffee bean should be used to make 50 kg of mocha java blend that will sell for $ 18 per kg
We need to set and solve a system of equations, with the variables representing the weights of mocha and java coffee in the blend. Solving the system yields the number of kilograms needed.
Explanation:To solve your problem, Abdul, we will use the concept of weighted averages. We'll need two equations. Let's denote the weight of the mocha coffee in the mix by x kg and the weight of java coffee by y kg. From the problem's requirements, we get these two equations:
x + y = 5020x + 15y = 18*50.Now, the goal is to solve this system of equations. You can do that by, for example, substituting x = 50 - y in the second equation and solving for y. Then, substitute y's value back into the first equation to get x.
The solution to this system will give you the weights of mocha and java coffee beans needed to make your desired blend.
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Telling of a classroom is 32 feet. The width is 75% of the lengt. Find the area of the classroom in square feet
Answer:
768 Square Feet
Step-by-step explanation:
32(.75) = 24
24 × 32 = 768
DOES IT MAKE SENSE?
Decide whether each of the following statements makes sense (or is clearly
true) or does not make sense (or is clearly false). Explain your reasoning.
9. I read a book that had 10 words in it.
(10. I've seen about 1050 commercials on TV.
11. I work in an office building that is 300 feet high.
12. In total, Americans spend about a billion dollars per year on
housing costs (rent and home mortgage payments).
13)A popular local restaurant serves 5 million dinners each year.
14)The CEO of the company earned more money last year than
the company's 500 lowest-paid employees combined.
This answer evaluates each statement for its potential truthfulness, noting that while each could arguably be correct, they might also be inaccurate in certain contexts.
Explanation:It's tricky to definitively state whether these statements are true or false without further context, as they contain details that could conceivably be true but may also potentially be inaccurate.
I read a book that had 10 words in it. This could be possible, especially for children's books or minimalist concept books. I've seen about 1050 commercials on TV. This might be true or not, considering that a person who watches television regularly could have seen this number of commercials. I work in an office building that is 300 feet high. This statement is plausible, given there are many buildings of this height. In total, Americans spend about a billion dollars per year on housing costs (rent and home mortgage payments). This is probably true since the American housing market is extensive. A popular local restaurant serves 5 million dinners each year. This is a high number, but it could be true for a very popular or large restaurant. The CEO of the company earned more money last year than the company's 500 lowest-paid employees combined. Sadly, this could be true given the substantial wage gaps that can exist in companies.
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Can someone explain I’m confused on how to do this my teacher can’t teach me this has no time
Answer:
A is 3 B is 4 n C is 25
Step-by-step explanation:
bra it ez r u a 6th grader
Answer:
1)
The factors of 9 are: 1, 3, 9
The factors of 15 are: 1, 3, 5, 15
Then the greatest common factor is 3.
2)
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 28 are: 1, 2, 4, 7, 14, 28
Then the greatest common factor is 4.
3)
The factors of 50 are: 1, 2, 5, 10, 25, 50
The factors of 75 are: 1, 3, 5, 15, 25, 75
Then the greatest common factor is 25.
Broccoli costs $1.50 per pound at a store. How much money does 32
ounces of broccoli cost?
Answer:
2 pounds
Step-by-step explanation:
Answer:$3
Step-by-step explanation:32 ounces is equal to 2 pounds. 1.50 times 2
Is 25/176 a repeating or terminating decimal
It repeats since it can't be simplified.
There are sparrows and cardinals that feed at Mrs. Sims bird feeder. The ratio of sparrows to cardinals is 3:1. There are at least 7, but less than 11 sparrows that eat at Mrs. Sims bird feeder. Put an S in the grid below to show the number of sparrows and a C to show the number of cardinals. There may be extra squares. (See attachment)
Answer:
Please find the grid of Sparrows and Cardinals below.
Step-by-step explanation:
Ratio 3:1 of Sparrows to Cardinals
There are at least 7, but less than 11 sparrows that eat at Mrs. Sims bird feeder
Let's build the grid for sparrows and cardinals, this way:
Sparrows = 7 - 8 - 9 - 10 - 11
Cardinals = 2 - 3 - 3 - 3 - 4
For calculating the number of cardinals we use the ratio 3:1 and round the number of cardinals to the next whole number.
Number of sparrows 7 to 11
Number of cardinals 2 to 4
(-5, -5), 6x - y = 1
Write an equation of the lines that passes through the given point and is parallel to the given line.
Answer:
Step-by-step explanation:
6x - y = 1
6x - 1 = y.....rearrange
y = 6x - 1......slope is 6. A parallel line will have the same slope.
y = mx + b
slope(m) = 6
(-5,-5)...x = -5 and y = -5
now we sub and find b, the y int
-5 = 6(-5) + b
-5 = -30 + b
-5 + 30 = b
25 = b
so ur equation is : y = 6x + 25 <==
The ratio of boys to girls at a school is 12 to 13. If 300 students attend the school, how many are boys?
144
277
156
25
Answer: 144
Step-by-step explanation:
Answer:
144
Step-by-step explanation:
12 divides into both
y=6x-10=x-4 what is x
Answer:
x=6/5
Step-by-step explanation:
y=6x-10
y=x-4
-----------
6x-10=x-4
6x-x-10=-4
5x-10=-4
5x=-4+10
5x=6
x=6/5
y=6/5-4=6/5-20/5=-14/5
During a bake sale 1 1/2 dozen cookies were sold in 1/3 of an hour. What is the unit rate for the dozens of cookies sold in an hour
Answer:
4.5 dozen cookies per hour
Step-by-step explanation:
I just had my sister help me and she said this was the answer but didnt tell me how she got it.LOL
on a test 45% of the questions are related to science . what fraction of the questions on the test are science related. This is a math question
Step-by-step explanation:
45 % = 0.45 =
[tex] \frac{9}{20} [/tex]
Answer: I believe its 9/20
How many 3/8 go into 3/2
Answer: 3/8 can’t go to 3/2
Step-by-step explanation:
Are 17 heartbeats in 15 seconds and 68 heartbeats in 60 seconds Equivalent
Answer:
1.133.
Step-by-step explanation:
Yes because if you divide 17 by 15 you get about 1.133 and if you divide 68 by 60 you also get about 1.133.
Answer:
Step-by-step explanation:
17/15 = 1 2/15
68/60 = 1 2/15
yes, they are equivalent
i am faceing north west. if i turn 180 clockwise i will be facing what
Answer:
south
Step-by-step explanation:
it’s half way turn because 180 is half of one 360 and north is right across from south:)
Answer:
South
Step-by-step explanation:
You will be facing south because if you are facing north and you turn 90 clockwise you will face east. Turn 90 degrees again and you'll face south.
What time is past 13 hours past 1:00 am
Answer:
Therefore the answer is 14:00 hours or we can also write this as
14:00 - 12:00 = 2 : 00 pm.
Step-by-step explanation:
13 hours past 1:00 am is equal to 13 + 1 = 14.
Therefore the answer is 14:00 hours or we can also write this as
14:00 - 12:00 = 2 : 00 pm.
Answer: That would be 2.00 P.M
Step-by-step explanation:
40. Danielle's living room is a rectangle with the dimensions 16 feet
by 18 feet. If she partially covers the bare floor with a circular
throw rug with a diameter of 12 feet, what is the approximate
area of bare floor, in square feet, that remains exposed?
(Note: Assume the rug lies completely flat and does not touch
any wall.)
F. 113
G. 144
H. 175
J. 288
K. Cannot be determined without knowing the exact position
of the rug
Answer:
wanna be my friend cause you seem cool
Step-by-step explanation:
1700/85 in simplest form
Answer:20
Step-by-step explanation:
It takes 54 minutes for 4 people to paint 6 walls. How many minuets does it take 6 people to paint 7 walls?
It takes 42 minutes for 6 people to paint 7 walls
Solution:
It takes 54 minutes for 4 people to paint 6 walls
To find: Minutes required for 6 people to paint 7 walls
If [tex]M_1[/tex] men can do [tex]W_1[/tex] work in [tex]D_1[/tex] days working [tex]H_1[/tex] hours per day and [tex]M_2[/tex] men can do [tex]W_2[/tex] work in [tex]D_2[/tex] days working [tex]H_2[/tex] hours per day, then
[tex]\frac{M_1D_1H_1}{W_1} = \frac{M_2D_2H_2}{W_2}[/tex]
M = Number of men
D = Number of days
H = Number of hours per day
W = Amount of work
Here in this sum,
54 minutes for 4 people to paint 6 walls
[tex]H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls[/tex]
Minutes required for 6 people to paint 7 walls
[tex]H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls[/tex]
Substituting the values in formula, we get
[tex]\frac{54 \times 4}{6} = \frac{H_2 \times 6}{7}\\\\9 \times 4 = \frac{H_2 \times 6}{7}\\\\H_2 = \frac{36 \times 7}{6}\\\\H_2 = 42[/tex]
Thus it takes 42 minutes for 6 people to paint 7 walls
Bonita said that the product of 56 × 123 is 73. How can you tell that her answer is wrong?
Answer:
It is wrong because the answer should be way greater than the factors.
by the way the anwer is 6888
Step-by-step explanation:
Answer:
5/6 of a number cannot be greater than the number.
Step-by-step explanation: