A fruit stand has to decide what to charge for their produce. They need $5.30 for 1 apple and 1 orange.
They also need $7.30 for 1 apple and 2 oranges. We put this information into a system of linear equations,

Answers

Answer 1

Answer:

The price of Apples is $3.30 and the price of Oranges is $2.

Step-by-step explanation:

So first treat the price of apples and the price of oranges as variables. Let's say that the price of an apple is X and the price of an orange is Y.

1 Apple and 1 Orange is $5.30, so the equation is 1X + 1Y = 5.30

1 Apple and 2 Oranges is 7.30 so the equation is 1X + 2Y = 7.30

Now, adjust one of the equations so you can know the price of one thing in relation to the price of the other.

1X + 1Y = 5.30 can become 1X = 5.30 - 1Y

Now substitute this into the other equation.

1X + 2Y = 7.30 becomes 5.30 - 1Y + 2Y = 7.30. Now, either combine the Y values or combine the price values.

5.30 + 1Y = 7.30

Y = $2

Now that you have the Y value, replace it in one of the equations.

1X + 2$ = 5.30

1X = 3.30


Related Questions

6*9+(6+9)=?

Plz I really need this in the next minute.

Answers

6*9+(6+9)= 6*9+15= 54+15=69 you have to use Pemdas

Is this relation a function?
(2, -3), (-4, 2), (6,2), (-5, -3), (-3,0)

Answers

Answer:

no it is not because two different input values have the same output

Step-by-step explanation:

Answer:

Yes it is a function... Because we have output for each input

3/4 divided by 4/3 whats the answer to this problem

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{3}{4} \div \frac{4}{3} = \frac{3}{4} \times \frac{3}{4} = ({ \frac{3}{4} })^{2} = \frac{9}{16} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

HELP ME PLEASE!!

Which equation describes this line!!

Answers

Answer:

Option A: y-9=2(x-1)

Step-by-step explanation:

Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)

The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.

Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)

B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)

C and D are wrong because the points aren't crossed through

A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

Answers

Answer:

26.4%

Step-by-step explanation:

PLS GIVE BRAINLIEST

The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.

The probability of selecting a black pair of socks first is:

probability = (number of black pairs)/(total number of pairs)

= 8/17

Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.

The probability of selecting a blue or white pair of socks second is:

probability = (number of blue and white pairs)/(number of remaining pairs)

= 9/16

Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:

probability = (8/17)*(9/16)

= 27/136

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the set of all numbers less than or equal to -6 or greater than it equal to -2

Answers

Answer:

Step-by-step explanation:

-6 ≥ x

-2 ≤ x

I don't think you can combine this into one statement.

Your line looks something like

<---------------O                 O------------------------->

                  -6                 -2

Shade in the 2 Os. The shaded in Os  are included in the way the line looks.          

Right inequalities to represent the situations below to get the 10% discount a shopper must spend at least $300 USD to represent the spending in dollars of a shopper who gets the discount

Answers

Answer:

D≥300

Step-by-step explanation:

I don’t know how to set it up nor do it please help me

Answers

Answer:

The value of x is 3

Step-by-step explanation:

∵ Quadrilateral ABCD is congruent to quadrilateral JKLM

∴ AB = JK and BC = KL

∴ CD = LM and AD = JM

∵ BC = 8x + 7

∵ KL = 31

∵ BC = KL

→ Equate their right sides

8x + 7 = 31

→ Subtract 7 from both sides

∵ 8x + 7 - 7 = 31 - 7

∴ 8x = 24

→ Divide both sides by 8 to find x

∴ [tex]\frac{8x}{8}[/tex] = [tex]\frac{24}{8}[/tex]

x = 3

The value of x is 3

If y= 1-x+x²/1+x-x² than how about y'=?
This question is about derived function.

Answers

Answer:

as

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

so

[tex]y'=0[/tex]

Step-by-step explanation:

Given the function

[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]

Taking derivative

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]

[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

as

[tex]\frac{d}{dx}\left(1\right)=0[/tex]         ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

[tex]\frac{d}{dx}\left(x\right)=1[/tex]          ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]

[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex]      ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]

substituting all the values in the expression      

[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]

[tex]=0-1+2x+1-2x[/tex]

[tex]=0[/tex]

Hence,

[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]

Therefore,

[tex]y'=0[/tex]

Solve for X.........

Answers

Answer:
x=-5

Explanation:
We can set our equation as this and solve:
(6)+(10)+(13+2x)=x+24
29+2x=x+24
Subtract both sides by 29
29+2x-29=x+24-29
2x=x-5
Subtract both sides by x
2x-x=x-5-x
x=-5

I hope this helps!

Find the slope of the lines that passes through the points (-8,-11) and (17,4).

Answers

Answer:

[tex]\displaystyle m=\frac{3}{5}[/tex]

Step-by-step explanation:

The slope of a line.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-8,-11) and (17,4).

[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]

[tex]\displaystyle m=\frac{15}{25}[/tex]

[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]

Please help or at least try and also I’m so sorry if u can’t read it well

Answers

Answer:
Proportional: A, E
Non-Proportional: B, C, D, F
Sorry if these aren’t right but I’m pretty sure they are

Monthly, Juan's net earnings are $6,000, and expenses are $5,000. If Juan saves the difference, how much will Juan have saved after 6 years

Answers

Answer:

$72,000

Step-by-step explanation:

6000-5000=1000

1000x6 =6000

6000x12=72,000

(Giving brainliest!!!)

How do you solve 7,124 ÷ 26 using standard algorithm?

Answers

Answer:

274

Step-by-step explanation:

The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add.

However, in the standard way the adding is done at the same time as multiplying. The calculation looks more compact and takes less space than the “easy way to multiply” you have learned.(i really think this is correct but I am so so sooo sorry if it's not!!!!)

What will happen to the graph of the line y = -54x + 3 if you change -54 to 54?

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  ( 0 , 0 ) x y 0 0 1 1

What equation is graphed in this figure?



y−4=−13(x+2)


y−3=13(x+1)


y+2=−3(x−1)


y−5=3(x−1)

Number graph ranging from negative four to four on the x and y axes. A line is drawn on the graph that passes through begin ordered pair negative one comma four end ordered pair and begin ordered pair one comma negative two end ordered pair

Answers

Answer:

C. [tex] y + 2 = -3(x - 1) [/tex]

Step-by-step explanation:

All we need to create an equation of the given graph is a point on the line (x1, y1) and the slope (m) of the line.

Thus, equation of in point-slope form is given as [tex] y - y_1 = m(x - x_1) [/tex].

Finding the slope (m) of the line of the graph given, using points (0, 1) and (1, -2).

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{1 - 0} = \frac{-3}{1} = -3 [/tex]

Substitute (x1, y1) = (1, -2) and m = -3 into [tex] y - y_1 = m(x - x_1) [/tex]

[tex] y - (-2) = -3(x - 1) [/tex]

[tex] y + 2 = -3(x - 1) [/tex]

The answer is C.

which branch of maths includes the most of other branches symbols/functions ect.​

Answers

Answer:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

A. y = |x - 4| - 2

B. y = |x + 4| + 2

C. y = |x - 4| + 2

D. y = |x + 4| - 2

Answers

The is C
Hope this help!

Choose a value that breaks this gem into 5 equal pieces.
25%
50%
10%
20%
200

Answers

20%, because 100/5=20

Find the mean for the scores 3860,5300,8560,4,200,5360

Answers

Answer:

The mean is 5444

Step-by-step explanation:

Hope this helps!

Answer:

add and divide for the mean

Step-by-step explanation:

3860 + 5300 + 8560 + 4200 + 5360 = 27280

27280 ÷ 5 = 5456

Also, I have inserted a rhythm that helps you remember the mean, median, mode and range.  

Hope this helps, stay safe, take care, keep smiling and always be happy. I believe in you my friend!! (if this is wrong please tell my and I will improve my answer!)

I need help with this question?

Answers

Answer:

[tex]x[/tex]=5

Step-by-step explanation:

Ramon would like to plant a garden where each row has the same combination of plants. If
Ramon has 27 tomato plants, 15 cucumber plants and 6 basil plants, what is the greatest number of rows the garden can have if Ramon uses all of the plants?

Answers

Answer:

48

Step-by-step explanation:

The greatest number of rows that can be formed in the garden will be 3.

What is the highest common factor?

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.

Factors of 27 = 1, 3, 9, and 27.

Factors of 15 =  1, 3, 5 and 15

Factors of 6 = 1, 2, 3 and 6

The GCF of 27,15 and 6 is 3.

Thus, only three raws are possible.

Hence "The greatest number of rows that can be formed in the garden will be 3".

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Help ASAP pls What is the y intercept of the linear equation shown on the graph

A. (0,-70)
B. (0,-50)
C. (0,1/2)
D. (0,100)

Answers

Answer:

(0, -50)

Step-by-step explanation:

pick any 2 points such as (100,0)  and (120,10)

to get from point (100.0) to point (120,10) you had to rise 10 and run 20

so the slope m =rise 10/run20= 1/2

the equation of the line is (y-y1)=m(x-x1)

(y-0)=(1/2)(x-100) for the slope m=1/2 and point on the line (100,0)

y=( x/2)-50 if you distribute

compare this with the equation

y=mx+b wher m=slope and bb is y-intercept

so the y-intercept is -50

Answer:

b

Step-by-step explanation:

trust

The circumference of a circle can be found using the formula C = 2πr.

Which is an equivalent equation solved for r?

Answers

Answer:r=C/2π

Step-by-step explanation:

If the terminal side of angle A passes through (-5,2) find the value of sec A​

Answers

Answer:

The value of sec A = - √29/5

Step-by-step explanation:

As the terminal side of angle 'A' passes through (-5,2).

so the angle is in the 2nd quadrant.

We can find the length of the hypotenuse using the Pythagorean Theorem

[tex]c^2\:\:=\:\left(-5\right)^2\:+\:2^2[/tex]

[tex]c^2=5^2+2^2[/tex]

[tex]c^2=25+4[/tex]

[tex]c^2=29[/tex]

[tex]c=\sqrt{29}[/tex]

As we know that

cos A = adjacent/hypotenuse

sec A = 1/cosA

         = hypotenuse/adjacent

         = √29/-5

         = - √29/5

Therefore, the value of sec A = - √29/5

What is an explicit rule for the sequence 9, 14, 19, 24

Answers

Answer: an arithmetic sequence

Step-by-step explanation:

What is the measure of angle DEC?

Answers

Answer:

95

Step-by-step explanation:

dct equals 140, dct also equal det plus edc, so 140 - 45 = 95

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Answers

Answer: 22 x 10 = 220

Gina already owns 2 necklaces , and additional necklaces are priced at 1 for a dollar. How much money does Gina need to spend on new necklaces in order
to own a total of 18 necklaces?

Answers

Answer:

16 dollars

Step-by-step explanation:

she already owns 2 necklaces

18-2=16

1 necklace =1 dollar

16x1=16

Answer:

16 dollars.

Step-by-step explanation:

She already has 2 necklaces. For a total of 18 necklaces, she needs to pay for 16 more. One is 1 dollar so do 16 x 1 to find the amount of payment required.

Hope it helps!

82 is what percent of 65.6?

Answers

Answer:

125

Step-by-step explanation:

82 percent of 65.6 is 125

Answer:

I hope I got your question correctly.

82% of 65.6 is 54.

Step-by-step explanation:

Consider this equation:

P%=[tex]\frac{x}{y}[/tex]

The value of P% here is 82, which is 0.82 in decimal form.

x is unknown

y is 65.6

Simply cross-multiply 65.6 and 0.82.

The result is 53.8 or 54.

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