Answer:
[tex]5A + 4P = 10[/tex]
[tex]5A + 5P = 11[/tex]
1 apple costs $1.2
1 pear costs $1
Step-by-step explanation:
Represent Apples with A and Pears with P
For the person in my front, the expression is:
[tex]5A + 4P = 10[/tex]
For me, the expression is
[tex]5A + 5P = 11[/tex]
Hence, the system of equation is:
[tex]5A + 4P = 10[/tex]
[tex]5A + 5P = 11[/tex]
Solving for the values of A and P.
Substract equation (2) from (1)
[tex]5A - 5A + 4P - 5P = 10 - 11[/tex]
[tex]-P = -1[/tex]
[tex]P = 1[/tex]
Hence, 1 pear costs $1
Substitute 1 for P in [tex]5A + 4P = 10[/tex]
[tex]5A + 4 * 1 = 10[/tex]
[tex]5A + 4 = 10[/tex]
[tex]5A = 10 - 4[/tex]
[tex]5A = 6[/tex]
[tex]A = \frac{6}{5}[/tex]
[tex]A = \$1.2[/tex]
Hence, 1 apple costs $1.2
A regular dodecagon (12 sided polygon) is rotated n degrees about it's center, carrying the dodecagon onto itself. What is the minimum number of degrees it must be rotated to carry the dodecagon onto itself? *
A. 30 degrees
B. 15 degrees
C. 60 degrees
D. 90 degrees
Which one?
Answer:
30 degrees
Step-by-step explanation:
A line passes through (0, 2) and has a slope of 13 .
What is the equation of the line in slope-intercept form?
y=13x+2
y=13x−2
y=−13x+2
I don't know.
Answer:
y=1/3x+2
Step-by-step explanation:
Assuming that all of the '13' 's are suppost to be 1/3, it is y=1/3x+2
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
Given :
A line passes through (0, 2) and has a slope of 1/3
The equation of a line in slope intercept form is y=mx+b
where m is the slope and b is the y intercept
From the given information , we know that slope [tex]m=\frac{1}{3}[/tex]
The line passes through (0,2) that is our y intercept b
b= 2
Replace slope [tex]m= \frac{1}{3}[/tex] and b=2 in slope intercept form y=mx+b
[tex]y= \frac{1}{3} x+2[/tex]
The equation of the line in slope intercept form is
[tex]y= \frac{1}{3} x+2[/tex]
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(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)
16. What is P(red, yellow, blue)?
17. What is P(orange, yellow)?
18. P(green, blue, purple)?
19. P(pink)?
20. P(red, orange, yellow, green, blue, purple)?
Thank you!!
Answer:
I have the same questions and I got them right
Step-by-step explanation:
16. What is P(red, yellow, blue)?
P(red, yellow, blue)= 6/16= 3/8.
4/16+ 1/16+ 1/16= 6/16= 3/8
17. What is P(orange, yellow)?
P(orange, yellow)= 1/8
1/16+1/16= 2/16= 1/8
18. P(green, blue, purple)?
P(green, blue, purple)= 5/8
7/16+1/16+2/16= 10/16= 5/8.
19. P(pink)?
P(pink)=0
There is no pink color.
20. P(red, orange, yellow, green, blue, purple)?
P(red, orange, yellow, green, blue, purple)= 16/16= 1.
4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.
Hope it helps!!!
You purchased concentrated cleaner that must be diluted (watered down)
before use. Container A is the cleaner, which is a 20% solution. Container B is
pure water. You are mixing together the contents of Container A and
Container B to produce 80 gallons of 5% solution. How many gallons from
each container are needed to create the 80 gallons of 5% cleaning solution?
Write your answers as integers only.
Container A: 20% Cleaning Solution =
gallons
Container B: Pure Water =
gallons
Answer:
The volume of the concentrated 80 gallons mixture is 20 gallons
The volume of water in the 80 gallons mixture is 60 gallons
Step-by-step explanation:
The given parameters are;
The content of Container A = The cleaner
The concentration of the cleaner = 20% solution
The content of Container B = Pure water
The concentration of the desired solution = 5%
The volume of the required solution = 80 gallons
Let x represent the volume of the concentrated solution and y represent the volume of water in the 80 gallons mixture
Therefore, we have;
20/100 × x + y×0 = 5/100×80
x + y = 80
y = 80 - x
20/100 × x + (80 - x)×0 = 5/100×80
0.2·x = 4
x = 4/0.2 = 20
x = 20 gallons
y = 80 - x = 80 - 20 = 60
y = 60 gallons
The volume of the concentrated solution (80 gallons mixture) = x = 20 gallons
The volume of water in the 80 gallons mixture = y = 60 gallons.
Nadia charges $5.50 an hour for babysitting. She babysits 19.50 hours the first week of the month and 19 hours the second week of the month. Suppose Nadia raises her rate by $0.55 an hour. How many hours would she need to work to earn the same amount of money she made in the first two weeks of the month? Complete the explanation and give your answer. Nadia's new hourly rate is $ . She would need to work hours in the next two weeks to make the same amount she made in the first two weeks.
Answer:
Step-by-step explanation:
ind her earnings for the first two weeks of the month at the $5.50 an hour rate.
5.50 × (18 + 20.50) = 5.50 × 38.5
= 211.75
She earned $211.75 the first two weeks of the month.
Find her new hourly rate, if she raises her rate by $0.55.
5.50 + 0.55 = 6.05
Her new hourly rate is $6.05.
Find how many hours she would need to work at $6.05 an hour in order to earn $211.75.
211.75 ÷ 6.05 = 35
She would need to work 35 hours.
Can Anybody Help With Geometry Work?
the answer would be AAG
What’s the surface area of 200 square inches ?
Answer:
5.77in
Step-by-step explanation:
A cube has 6 square faces, so each face would have area 200 sq in/6=33.33 sq in
Since the area of each face equals the square of the sides, the edge of the cube would be sqrt%2833.33sq+in%29= approx. 5.77 in
Replace the ? with a number that balances the equation. -3.4 = -2 + ?
Answer:
?=-1.4
Step-by-step explanation:
The number that fits the ? is -1.4. Hope it helps!
Answer:
-1.4
Step-by-step explanation:
What is the value of the expression below?
8 *divide* 2 + 6x5
Answer:
34
Step-by-step explanation:
8/2 = 4
6 times 5 = 30
30 + 4 = 34
Which of the following statements best describes the location of -(-6) on a number liner
A. It is 6 units to the left of 0.
B. It is 6 units to the night 6.
C. It is 6 units to the right of 0.
D. It is 6 units to the left of 6.
QUICK I REALLY NEED HELP
When playing a game, Noahs last 5 points in the last 3 turns. show how to use integers to determine the change in his score
Answer:
-5
Step-by-step explanation: Yeah i think its -5
A news report says that 9% of middle school students are on the track team. There are 600 students in your middle school How many students in your school would you expect to be on the track team? HE Pad SATTE BAR HG West nus SAUNA w 1
Answer: 54
9% of 600 would be 54.
Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch equals 3 ft. What is the area, in the square feet, of the room?
Answer: 432 ft^2
Step-by-step explanation:
If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.
Follow this up by the equation a=w*l to get
a=24*18 = 432 ft^2.
Find the slope of the line passing through the points (6, 1) and (6,-6).
Answer:
Slope = undefined
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
(6, 1)
(6, -6)
1 - (-6)/6 - 6= 7/0
Slope = undefined
For reference:
0/x = 0
x/0 = undefined
Hope this helps!
Study circle C, where diameter AB is perpendicular to chord MN at point O.
The diagram as described in the text.
If MO = 5x − 7 and NO = 18, what is the value of x?
Enter the correct value.
Answer:
5
Step-by-step explanation:
Since a line splitting a chord that goes through the circle and is perpindicular to that chord is always the midpoint.
5x-7 = 18
5x = 25
x = 5
The answer to question and to the value of x is 5
Please help me i don't understand. I will give points for explanation too.
Answer:
The first one
Step-by-step explanation:
4x - 3y = 15 .first you subtract the 4x from both sides to get it in correct form
-3y = -4x + 15 . Then you divide both sides by -3 to isolate the y
y = 4/3x - 5 . Then you are left with this answer
Answer:
y = 4/3x - 5 (first answer on your photo)
Step-by-step explanation:
4x - 3y = 15
4x - 3y = 15 (we use -4x)
-3y = 15 - 4x (divide by -3)
y = 4/3x - 5
A jar contains 12 caramels, 8 mints and 7 dark chocolates. What is the probability of selecting a mint? simplify if possible.
ME PUEDEN AYUDAR ES PARA HOY
Answer:
8/27
Step-by-step explanation:
between 2002 and 2008, more than 26 cubic miles of groundwater disappeared. how much water has disappeared per year
Explanation:
2008 - 2002 = 6 years have passed
In that time frame, we lost 26 cubic miles of ground water.
This means we lost about 26/6 = 4.333 cubic miles of ground water per year.
Which statement is true? Select all that apply
The relationship is proportional.
The slope is -6.
The slope is negative.
The y-intercept is -3.
The equation of the line is y = -3x.
why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1
Answer:
Sin 90 = 1/1 = 1
Use trigonometry formula and a triangle with lengths of 1
What is the absolute value of -250?
Answer:
250
Step-by-step explanation:
Pretty much every time it asks for the abasloute value it just asks how much to get the zero on the number line. It will ALWAYS be positive. For example -5 will be 5 to get to zero on the numberline. Same thing with a positive 5.
lol i literally just asked for help on a different problem, but this is a word problem and they always confuse me
problem:
My sister has three Maltese puppies. Scout weighs 8 1/3 pounds. Kenadi weighs 3 1/8 pounds, and Major weighs 8 1/5 pounds. What is the order of the puppy’s weights from least to greatest?
Answer:
D) 3 1/8, 8 1/5, 8 1/3
Step-by-step explanation:
The order of the puppies' weights from least to greatest is the following:
[tex]3\frac{1}{8} , 8\frac{1}{5}, 8\frac{1}{3}[/tex]
Three wholes are less than eight wholes, which means that the puppy named Kenadi weighs the least.
Scout and Major weigh a bit more than eight pounds. However, Major weighs less than Scout because one fifth is less than one third.
[tex]8\frac{1}{5} < 8\frac{1}{3}[/tex]
This is why the correct option is D.
Answer:
D
Step-by-step explanation:
4x²-6xy
PLZ
HELP
I
GIVE
5
STARS
yep I get the same thing what the other person is right
If x varies directly as y. Find x when y = 1 if x= 12 when y= 4
Step-by-step explanation:
x/y=constant
12/4=3
x/1=3
x=3
Here, if x varies directly as y. When y=1, then x=3.
Given that, x varies directly as y.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
If x= 12 when y= 4
Here, x varies directly as y is x∝y
⇒ x=ky
⇒ 12=k(4)
⇒ k=3
So, x=3y
When y=1, we have
x=3(1)
⇒ x=3
Here, if x varies directly as y. When y=1, then x=3.
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A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month until the end of that year. How many toys should the company expect to sell by the end of June of that year?
Answer:
Answer is 36,220
Step-by-step explanation:
(-2)^3=
Answer:
[tex]\left(-2\right)^3=-8[/tex]
Step-by-step explanation:
Given the expression
[tex](-2)^3[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}[/tex]
[tex]\left(-2\right)^3=-2^3[/tex]
[tex]=-2^3[/tex]
[tex]=-8[/tex] ∵ [tex]2^3=8[/tex]
Therefore,
[tex]\left(-2\right)^3=-8[/tex]
Given the following sequence and an-1 = 12, what is an?
2, 7, 12, 17,...
Answer:
12
Step-by-step explanation:
[tex]a_{n-1}=12\\\\
Plug\: n = n + 1\\\\
a_{n+1-1}=12\\\\
\huge \red {\boxed {a_{n}=12}} \\\\[/tex]
Can someone please tell me if the following relations are functions please?
Which property is used in the following expression ? 8(2 + 7) = 16 + 56
Answer:
Distributive property
Step-by-step explanation:
Vincent is selling candy bars to raise money for his soccer team. He started with a full box of 20 candy bars and has sold
3
10
of them so far. If each candy bar costs $1.25, how much money has Vincent raised?
We conclude that Vincent has raised a total of $7.50
how much money has Vincent raised?
We know that initially, he has 20 candy bars.
He sells 3/10 of that total number, so the number of candy bars sold is:
N = (3/10)*20 = 6 candy bars.
And sells each for $1.25, so the total amount that has Vincent raised is:
R = 6*$1.25 = $7.5
We conclude that Vincent has raised a total of $7.50
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