You are at a fruit stand to get some fresh produce. You notice that the person in front of you gets 5
apples and 4 pears for 10 dollars. You get 5 apples and 5 pears for 11 dollars. Write a system of
equations that could be used to find the price of an apple and the price of a pear.
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
Add
to each side x2 - 8x = 9 to complete
the square.
Answer:
the correct answer is 16
Step-by-step explanation:
Add ⇒ 16 to each side x2 – 8x = 9 to complete the square.
Jim wants to put carpet in four identical rooms. Each room is 14 ft by 20.5 ft. A
roll of carpet will cover 200 square feet. How many rolls will he need? *
3 rolls
4 rolls
5 rolls
6 rolls
Answer: Jim will need 6 rolls
Step-by-step explanation: 14*20.5 is 287 I rounded 287 to 300 and then muttplied 300 by 4 and got 1200 that would be 6 rolls
Last year, a middle school band had 80 students. This year,
the band has 120% of that number of students. How many
students are in the band this year?
Answer:
The answer actually is 96
Step-by-step explanation:
Pls help me on 21 , 22 , and 23
9514 1404 393
Answer:
21. perpendicular
22. neither
23. parallel
Step-by-step explanation:
It can help to plot the points on a graph and draw lines through them. This can also let you count grid squares, which can make it easier to find the slope.
21. See attachment 1. The lines are perpendicular.
QR has a slope of -3/2. ST has a slope of 2/3, the opposite reciprocal.
__
22. See attachment 2. The lines are neither parallel nor perpendicular.
__
23. The x-coordinates of Q and R are the same, so this is a vertical line at x=-1. The x-coordinates of S and T are also the same, so it is a vertical line at x=11. The two vertical lines are parallel to each other.
_____
Additional comment
When you have a number of problems that all require similar arithmetic, it can be useful to embed that arithmetic in a spreadsheet. You have to enter the numbers somewhere to "show work" or perform a calculation, so you may as well enter them into a spreadsheet that does the calculation for you.
Of course, the slope formula is ...
m = (y2 -y1)/(x2 -x1)
If you simply show the values of m for each pair of points, you can see if they are equal (lines are parallel). You can also have the spreadsheet compute their product to see if it is -1 (lines are perpendicular). If you get a #DIV/0! error, it means the line is vertical (and the product will also give an error). You can avoid error messages by making the spreadsheet more sophisticated, but that isn't necessary for the purpose here.
please I need help I will mark brainiest
Answer:
sorry i looked and i tried, but i dont know the answer.
Step-by-step explanation:
ILL GIVE BRAINLIEST!!
What is the reciprocal of x^3 and a^2
Answer:
a) [tex]\frac{1}{x^3}[/tex]
b) [tex]\frac{1}{a^2}[/tex]
Step-by-step explanation:
Reciprocal of a number is 1 divided by that number
We need to find reciprocal of x^3 and a^2. To find the reciprocal we will do is: 1 divided by the given number
a) Reciprocal of x^3
[tex]=\frac{1}{x^3}[/tex]
b) Reciprocal of a^2
[tex]=\frac{1}{a^2}[/tex]
What is the first step in evaluating the expression shown below?
(12.9-3.1) 6.2 - 2 + 43
A.Multiply 3.1 and 6.2.
B.Add 2 and 43
C.Subtract 3.1 from 12.9.
D. Subtract 2 from 6.2.
Answer:
C. Subtract 3.1 from 12.9
Hope it helped
A piece of glass with an initial temp of 99 degrees Celsius is cooled at a rate of 3.5 degrees Celsius per minute. Concurrently, a piece of copper with an initial temp of 0 degrees Celsius is heated at 2.5 degrees Celsius per minute. Which of the following systems of equations can be used to solve for the temp, T, in degrees Celsius, and the time, m, in minutes, when the glass and copper reach the same temp?
Answer:
T= 99 - 3.5m
T= 2.5m
Step-by-step explanation:
find the quotient 5/6 divided by 2
Answer:
0.41666666666
Step-by-step explanation:
I used a calculator.
q is the midpoint of segment pr. pq=2x+1 and qr= 3x-5. what is the length of segment pr
eric is twice as old as june. the sum of their ages is 57. how old is june.
Answer:
19
Step-by-step explanation:
2x + x = 57
3x = 57
x = 19
Check:
2 times 19 = 38
38 + 19 = 57
I have 2 questions
Transform the equation.
Stretch y=5x by a factor of 3
What is the transformed equation?
Transform the equation.
Shift y=5√x+5 horizontally, 5 units to the right and a stretch by a factor of 4
What is the transformed equation?
Answer:
1. I assume that stretching vertically by factor of 2 means that every point on the transformed curve is twice as far from the x axis as the original curve.
Imagine that you have plotted y=5x. you want to change the y scale so that each point on the original curve is two times as high. For example, one point on the original curve is (1,5). This point must be relocated to (1,10). Similarly, the point (2,10) on the original curve must be relocated to (2,20).
You can see that these relocations are accomplished if we transform the function to y=2(5x)=10x.
Step-by-step explanation:
hope this helps! even though it's just the first one...
Leslie says that a temperature of -12 °C is colder than a temperature of -20 C because
1-12 <1-20). Is Leslie correct? Explain why or why not.
Answer:
Leslie is NOT correct
Step-by-step explanation:
Leslie thinks that the number closer to 0 that's in the negatives it smaller because the number is smaller. But actually, the number farther from 0 that's in the negatives is smaller. So, -12 °C is warmer than -20 °C
I hope this helps!
A function f(x) is graphed on the coordinate plane.
What is the function rule in slope-intercept form?
f(x)= ?
Answer:
f(x)=-4x+-2
Step-by-step explanation:
Slope intercept form: f(x)=mx+b
m=slope=[tex]\frac{rise}{run}[/tex]
b=y-intercept=y value when x=0
Which is an example of Identity Property of Addition ?
6 + 0 = 6
23+5=5+3
07x1 = 7
O (5+9) + 8 = 5 + (9 + 8)
+
Answer:
Probably the last one but the numbers are kind of jumbled up so...
Step-by-step explanation:
Have a good day
2 cartons of juice in the month of January. In the month of February, she drank twice as many cartons of juice as in
January. How many cartons of juice did she drink in February?
Answer:
She drank 4 cartons in February.
Step-by-step explanation:You multiply 2x2 because it doubles.
Find the expected value of the
random variable with the
following probability distribution:
Х
2
3
4
5
6
7
8
9
10
11
12
Р
1/36
1/18
1/12
1/9
5/36
1/6
5/36
1/9
1/12
1/18
1/36
[?]
Answer:
1/36 hope this helps
Step-by-step explanation:
Marla's brainlist pls
Solve this problem.
Don't answer if you don't know. NO IMPROPER ANSWERS.
Answer: 9.
Step-by-step explanation: First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.
Answer: The answer is 9.
Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D
how to write this numbers in word 23.13
Answer:
twenty three and 13 hundredths
Answer:
Twenty three point thirteen
Can yall help me on this?
Answer:
y = 3x - 2
Step-by-step explanation:
Step 1: Look at the "y" axis and see what it is going through (-2)
Step 2: Check if the line if a positive slope or a negative slope (positive)
Step 3: Since we now know this is a positive slope, it cancels out "D" and "A".
Step 4: This would not be B because the rise is "1" and the run is "3"
Final Ansr: "C" because the rise is "3" and the run is "1" with a "-2" y-intercept.
What is the value of 3/8 divided by 9/10
Answer:
0.41666666666
Step-by-step explanation:
Answer:
The value is 5/12
What is 230% of 90?
A 207
B 237
C 320
D 227
Answer:
207 or option a is the answer
Answer:
Option A) [tex]207[/tex]
Step-by-step explanation:
[tex]230\%[/tex] can be written as [tex]\frac{230}{100}[/tex] which is equivalent to the decimal form [tex]2.3[/tex]. The word of indicates that you will need to use the multiplication operation:
[tex]230\%[/tex] of [tex]90 = 2.3\times90[/tex]
[tex]= 207[/tex]
∴ [tex]230\%[/tex] of [tex]90[/tex] is [tex]207[/tex].
Hope this helps :)
Can someone help me with the question in the image?
Step-by-step explanation:
m< I = m < 2 = m < 3
7y+16 = 2X
7y - 2x +16 = O ............I
7y +16 = 4X _30
7y -4 x + 46 = 0 ...............2
solve eq I,2
2 X - 30= o
X= 15
substitute in I
7X= 14
y = 2
What is 8 times 5 times 6 times 21
Answer:
5040
Step-by-step explanation:
multiplying is just repeated addition so this would be the same as adding 8+8 5 times and 21+21 6 times
Someone please help me!
-2x + 4 < 16
Help me please I didn’t pay attention
Answer:
I think it’s done like this, I’m not sure
First, collect the like terms
-2x<16-4
-2x<12
x<12/-2
x<-6
So, you substitute -6 instead of x to find which is greater
12+4<16
16<16
Which makes it false
Step-by-step explanation:
I hope I explained well, please give me brainliest
The solution of the inequality - 2x + 4 < 16 will be;
⇒ - 6 < x
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - 2x + 4 < 16
Now,
Solve the expression as;
⇒ - 2x + 4 < 16
Subtract 4 both side, we get;
⇒ - 2x + 4 - 4 < 16 - 4
⇒ - 2x < 12
Divide by 2 , we get;
⇒ - x < 6
Multiply by - 1, we get;
⇒ x > - 6
⇒ - 6 < x
Thus, The solution of the inequality - 2x + 4 < 16 will be;
⇒ - 6 < x
Learn more about the inequality visit:
https://brainly.com/question/25275758
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If someone gives the correct solution will give brainiest and a lot of points.
The Domain is correct.
Answer: x = 0.1 and x = 1
Step-by-step explanation:
Answer:
x = 9Step-by-step explanation:
3 log₃ₓ x = 2 log₉ₓ x²3 log x / log 3x = 4 log₉ₓ x3 log x / log 3x = 4 log x / log 9x3 log 9x = 4 log 3x3 log 9 + 3 log x = 4 log 3 + 4 log xlog x = 3 log 9 - 4 log 3log x = 3 log 9 - 2 log 9log x = log 9x = 9I need help please
please help . imagine ^^
Answer:
A
Step-by-step explanation:
PLEASE MARK BRAINLIEST