Kylie went into a grocery store and bought 5 apples and 4 bananas, costing a total of $10.50. Lily went into the same grocery store and bought 10 apples and 5 bananas, costing a total of $16.50. Determine the price of each apple (x) and the price of each banana (y). Remember, write it as money, with the whole and the decimal to the hundredths place!

Answers

Answer 1

Answer:

Apples $0.90 / Bananas $1.50

Step-by-step explanation:

So The equations would look like this

5x + 4y = 10.5

10x + 5y = 16.5

Solving for x, we get 2.1 - 4/5y

Substitute x

10(2.1 -4/5y) +5y = 16.5

Solving for y, we get 3/2 or 1.5

Substitute y

x = 2.1 -4/5(3/2)

x = 9/10

Now check the equations with the answers

5(9/10) + 4(3/2) = 10.5  ->  21/2 = 21/2

10(9/10) + 5(3/2) = 16.5  ->  33/2 = 33/2

Which means apples cost $0.90 and bananas cost $1.50


Related Questions

Select all the pairs of points so that the line between those points has slope 2/3.

Answers

B, (0,0)(3,2)

C, (1,5)(4,7)

D, (-2,-2)(4,2)

All of these ordered pairs have a slope of 2/3, by way of the slope formula.

The slope of option B, C and D are equal to 2/3.

The given slope is 2/3.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

A) Using (0, 0) and (2, 3) we get slope as

Now, slope = (3-0)/(0-2)

=3/2

B) Using (0, 0) and (3, 2) we get slope as

Slope = (2-0)/(0-3)

= 2/3

C) Using (1, 5) and (4, 7) we get slope as

Slope = (7-5)/(4-1)

= 2/3

D) Using (-2, -2) and (4, 2) we get slope as

Slope =(2-(2))/(4-(-2))

= 4/6

= 2/3

E) Using (20, 30) and (-20, -30) we get slope as

Slope =(-30-30)/(-20-20)

= -60/(-40)

= 3/2

Therefore, the slope of option B, C and D are equal to 2/3.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

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Whats the value of 6 in 1.267

Answers

Answer:

hundredths place

Step-by-step explanation:

Hundreds place, easy

List the first six common multiples of 6 and 9

Answers

Answer:

The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )

Can someone please help me? Thank you!

Answers

Answer:

Step-by-step explanation:

1) [tex]5^{\frac{2}{3} }[/tex] is in exponential form.

Now, radical form is [tex]\sqrt[3]{5^{2} }[/tex]

2) [tex]5^{\frac{1}{2} }[/tex] is in exponential form.

Radical form is [tex]\sqrt{5}[/tex]

3) [tex]3^{\frac{2}{5} }[/tex] is in exponential form.

Radical form is [tex]\sqrt[5]{3^{2} }[/tex]

4) [tex]3^{\frac{5}{2} }[/tex] is in exponential form.

Radical form is [tex]\sqrt{3^{5} }[/tex]

If you need to ask any question, please let me know.

Solve. −425=x−114 What is the solution to the equation? Enter your answer as a simplified mixed number in the box. FIRST PERSON TO ANSWER GETS 100 POINTS

Answers

Answer:

-311

Step-by-step explanation:

−425 = x − 114

=> x = -425 + 114

=> x = -311

Therefore, -311 is our answer.

Hoped this helped.

please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
It will be ln / secx + tanx / + c​

Answers

Answer:

ln|sec(x) + tan(x)| + c

Step-by-step explanation:

∫sec(x) dx

secx = 1/cos(x) = cos(x)/cos²(x) = cos(x)/(1-sin²(x))

let u = sinx

we get ∫secx = ∫du/(1-u²) = ln√(1+u)/(1-u)

as (1+u)/(1-u) = (1+sinx)/(1-sinx) = (sec²x + tan²x)

so ln √(1+u)/(1-u) = ln√(sec²x + tan²x) = ln|secx+tanx| +c

Translate the phrase into an algebraic expression.
The product of 6 and c

Answers

Answer:

c x 6 = x

Product judy basically means multiplication.

How to find the distance between two points.

Answers

Answer:

you take your small number and multiply it by the big number

Step-by-step explanation:

Solve the system by substitution: y = 4x - 6
y=5x

Answers

Answer:

y=4x-6

5x=4x-6 {putting y =5x}

5x-4x=-6

x=-6

Remember y=mx +b Given the following graph what would the equation be?

Answers

Answer:

b. y=1/2x-2

Step-by-step explanation:

We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2

answer the following

Answers

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Which number has a prime factorization of 2x2x5x5x7x7

Answers

Answer:

4900

Step-by-step explanation:

multiply all those numbers together

2x2x5x5x7x7 = 4900

find the value of x in the triangle.

Answers

[tex] = > 3x + 15 + 4x + 12 = 180 \\ = > 7x + 27 = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > \: 7x = 180 - 27 = 153 \: \: \: \: \\ x = \frac{153}{7} = 21 \\ x = 21[/tex]

A seafood restaurant daims an increase of $2,450 over its average profit during a weer where it introduced a special of baked class.​

Answers

Answer:

Step-by-step explanation:

COPY PASTE I WROTE THE ANSWER ON THERE!!! :)))

what is x^2+6^2=10^2

Answers

Answer:

Follow the order of operations and then solve from there

x^2 is simplifed to its max

6^2 is 36

10^2 is 100

x^2+36=100

Follow it normally

x^2=64

√64 = 8

x=8

**edited, sorry for the incorrect answer**

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

First lets write our equation

[tex]x^2+6^2=10^2[/tex]

Solve

We will use PEMDAS, or also known as BOMDAS

[tex]x^2+36=100[/tex]

Subtract 36 from both sides

[tex]x^2=64[/tex]

Find the square root of 64

[tex]\sqrt{64} =8[/tex]

[tex]x=8[/tex]

Brainliest please :)

Suppose you write the set {1000, 1001, 1002,..., 2000} in base 10. Then you record this set in base 5 and find the number in the new set whose digits have the least sum. What is this number, written in decimal notation? This number is

Answers

Decimal notation is a way of expressing a number in base ten but with a decimal part. Therefore, from the given question;

The number required is 1500The number in decimal notation is 1500.0

Number bases is a method of expressing numbers in different notations with respect to the required base. When given numbers in base ten, it is required to divide it by the number base for conversion using long division method so as to convert it to any required base. So converting each element in the given set to base 5, we have:

{1000, 1001, 1002, 1003, 1004,......, 2000}

So that:

i. 1000 converted to base 5, we have:

5  1000

5   200  r 0

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13000_{5}[/tex]

ii. 1001 converted to base 5, we have:

5  1001

5   200  r 1

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13001_{5}[/tex]

iii. 1002 converted to base 5, we have:

5  1002

5   200  r 2

5     40   r 0

5     08   r 0

5      01   r 3

       00  r 1

⇒ [tex]13002_{5}[/tex]

So then, the set in base 5 is:

{13000, 13001, 13002, 13003, 13004,......, 31000}

To determine the number whose digits have the least sum;

a. 13000 = 1 + 3 + 0 + 0 + 0 = 4

b. 13001 = 1 + 3 + 0 + 0 + 1 = 5

c. 13002  = 1 + 3 + 0 + 0 + 2 = 6

d. 13003 = 1 + 3 + 0 + 0 + 3 = 7

e. 13004 = 1 + 3 + 0 + 0 + 4 = 8

.        .        .      .    .       .           .

.        .        .      .    .       .           .

z. 31000 = 3 + 1 + 0 + 0 + 0 = 4

Thus it would be observed that in base five, 1000, 1500 and 2000 digits gave the least sum of 4, so then:

[tex]\frac{1000+1500+2000}{3}[/tex]  = 1500

The number is 1500The number in decimal notation is 1500.0

Visit: https://brainly.com/question/25112081

Answer:

I think its 1500

Step-by-step explanation:

1500

After adding 17 to a number, x, you get 23.
The equation that represents the above statement is .
The value of x in the equation is .

Answers

Answer:

The equation that represents the above statement is 17+x = 23

The value of x in the equation is 6

Step-by-step explanation:

17+x = 23

x = 23 - 17

x = 6

IM SO CONFUSED!!! I need help what is the difference between 1+0 and 1x1 HURRY DUE TODAY

Answers

Answer:

one is addition the other is multiplication, though, both the sum and product equal the same solution

Step-by-step explanation:

hope it helps

Answer:

The answer is 0

Step-by-step explanation:

1+0=1

1x1=1

1-1=0

Help pleaseeee

Correct answers only​

Answers

Answer: D 10

Step-by-step explanation:

This recipe makes 8 pancakes.
Sanjay follows the recipe but wants to make 24 pancakes.
How much of each ingredient does he need?

Recipe: Makes 8
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 mL milk
1 egg
2 tablespoons (tbsps) oil

Answers

Answer:

If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)

135 x 3 = 405

1 x 3 = 3

2 x 3 = 6

130 x 3 = 390

1 x 3 = 3

2 x 3 = 6

So Sanjay would need the following to make 24 pancakes:

405g flour

3tsp baking powder

6tbsps sugar

390mL milk

3 eggs

6tbsps oil

Answer:

405 g flour

3 tsb baking soda

6 tbsps sugar

390 mL milk

3 eggs

6 tablespoons oil

Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

Answers

The perimeter of the rhombus 60 feet

Mike's age is six more than two times his sister's age. Mike is seventeen years old.Write the equation that could be used to determine the age of Mike's sister.

Answers

Answer:

Mike's sisters age is 5 years old

Step-by-step explanation:

Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old

expand and simplify (x+3)²

Answers

Answer:

x² + 9 + 6x

Step-by-step explanation:

expand and simplify (x+3)²

(x+3)² =

x² + 9 + 2 × x × 3 =

x² + 9 + 6x

Answer:

x² + 6x + 9

Step-by-step explanation:

( x + 3 ) ²

( x + 3 ) ( x + 3 )

x ( x + 3 ) + 3 ( x + 3 )

x² + 3x + 3x + 9

x² + 6x + 9

Hope this helps you.

Let me know if you have any other questions :-)

How to divide different bases with same exponents.

Answers

How to Divide Exponents With Different Bases:

Different Bases and Same Exponent. In this case, you can group the two bases into a quotient and apply the exponent. ...


Different Bases and Different Exponents. The expression b^4 / a^2 is equivalent to (b * b * b * b) / (a * a). ...

Order of Operations

Find the selling price for each item given the cost and the percent of the markup or discount.

flat-screen TV: $669; 23% markup

A. $153.87
B. $692
C.515.13
D.822.87

Answers

Answer: D.$882.87

Explanation: you would do 669 times .23 which would equal 153.87 and then u would add 669+153.87 which equals $882.87

1.) 7x-3=18
2.) 9x-4=32
3.) 5x-1=64
4.)12x-9=39
5.) 2x-1=2
6.) 4x-8=10
7.) 15x-2=3

Answers

1.) x=3
2.) x=4
3.) x=13
4.) x=4
5.) x=3/2
6.) 9/2
7.) 1/2

The sum of a whole number A and a whole number B is 30, and the ratio A : B is equivalent to 3 : 2

Answers

3:2 2=30 30/2=15 15x3=45
A=45

Help me with this please!!

Answers

Answer:

A=2/6 B=5/6

Step-by-step explanation:

I really hope this helps! (i love math!)

P: It's sunny.
Q: It's snowing. R: It's not raining.
Translate the following words into symbols: It's sunny and it's not snowing.
ΟΡΔΟ
O Q–> P
O PA~Q
O~P ^ Q

Answers

Answer: Choice C.  [tex]P \wedge \sim Q[/tex]

Explanation:

Anywhere you see "it's sunny", replace it with "P".

We'll replace the "and" with the symbol [tex]\wedge[/tex] which is used for conjunctions.

The squiggly [tex]\sim[/tex] refers to "not" and it negates or flips whatever statement Q is. Q stands for "it's snowing" so [tex]\sim Q[/tex] is the complete opposite of "it's not snowing".

We don't use statement R at all.

Solve the slope for the table.

Answers

Answer:

5

Step-by-step explanation:

Change in Y / Change in X = Slope

5/1 = 5

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