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saw5 [17]
3 years ago
6

Kathie spent $45 on a fruit salad. She bought bananas, mangoes, and apples. Bananas cost $1 per pound, mangoes cost $3 per pound

, and apples cost $2 per pound. Identify the linear equation in three variables that represent this situation.
Mathematics
2 answers:
Sphinxa [80]3 years ago
6 0

Answer:

X * 1 + Y * 3 + Z * 2 = 45

Step-by-step explanation:

we will use bananas, apples and mangoes as the unknowns of the equation.

The value that you multiply to the unknowns will be multiplied by the price that corresponds to it.

These 3 products must be added to result in the total value that is 45.

X * 1 + Y * 3 + Z * 2 = 45

Dennis_Churaev [7]3 years ago
4 0

Answer:

She bought 18 bananas, 23 mangoes and 2 apples.

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Let f be the function that determines the area of a circle (in square cm) given the radius of the circle in cm, r. That is, f(r)
yarga [219]

Answer:

The answers to each question are:

a)A=f(r=4cm)=50.26cm^2

b)\Delta A(10.91cm-10.9cm)=f(10.91cm)-f(10.9cm)=0.6851cm^2

c)C=5\cdot f(r=12.7cm)=2533.54cm^2

d)D=f(r=28cm)+59cm^2=2522.01cm^2

Step-by-step explanation:

The function f(r) that represents the area of a circle (in square cm) is:

f(r)=\pi r^2

a) To represent the area (in square cm) of a circle whose radius is 4 cm, you just have to evaluate the function with a radius of 4cm:

A=f(r=4cm)=50.26cm^2

b) To represent how much the area (in square cm) of a circle increases by when its radius increases from 10.9 to 10.91 cm, you have to represent the difference between the final area with a radius of 10.91cm and the initial area of a radius of 10.9cm:

\Delta A(10.91cm-10.9cm)=f(10.91cm)-f(10.9cm)=0.6851cm^2

c) To represent the area of 5 circles that all have a radius of 12.7 cm, we can use the function f(r) to represent the area of a circle with a radius of 12.7cm and multiply it for 5:

C=5\cdot f(r=12.7cm)=2533.54cm^2

d) To represent the area of the larger circle that is 59 square cm more than the first circle (with a radius of 28 cm), we can use the function f(r) to obtain the area of the first circle and addition 59 square cm:

D=f(r=28cm)+59cm^2=2522.01cm^2

6 0
3 years ago
2
algol13

Answer:

Remainder = 3

Step-by-step explanation:

Given

1\ |\ 1\ \ 2\ \ -3\ \ 3

Required

Determine the remainder

Write down the first digit i.e. 1. So, we have:

1\ |\ 1\ \ 2\ \ -3\ \ 3

--------------------------------

  |\ 1

Multiply that 1 by the divisor (1) i.e. 1 * 1 = 1

Write down the result under the next digit i.e. (under 2)

1\ |\ 1\ \ 2\ \ -3\ \ 3

        1

--------------------------------

  |\ 1

Sum 2 and 1 i.e 2 + 1 = 3

1\ |\ 1\ \ 2\ \ -3\ \ 3

        1

--------------------------------

  |\ 1\ \ 3  

Multiply that 3 by the divisor (1) i.e. 1 * 3 = 3

Write down the result under the next digit i.e. (under -3)

1\ |\ 1\ \ 2\ \ -3\ \ 3

        1       3

--------------------------------

  |\ 1\ \ 3  

Sum -3 and 3 i.e -3 + 3 = 0

1\ |\ 1\ \ 2\ \ -3\ \ 3

        1       3

--------------------------------

  |\ 1\ \ 3\ \ \ 0

 

Multiply that 0 by the divisor (1) i.e. 1 * 0 = 0

Write down the result under the next digit i.e. (under 3)

1\ |\ 1\ \ 2\ \ -3\ \ 3

        1       3   0

--------------------------------

  |\ 1\ \ 3\ \ \ 0

Sum 3 and 0 i.e 3 + 0 = 3

Since there is no other computation to do, the result of the last sum is the remainder.

So:

Remainder = 3

4 0
3 years ago
Use the whole number product and place value reasoning to place the decimal point in the second product. Explain how you know.
BARSIC [14]
The answer to ypur question is 48.24
5 0
3 years ago
Read 2 more answers
3.1 Write the following in scientific notation<br>a) 217 000 000 b) 0,000 253​
AlekseyPX

Answer:

2.17 x 10^8

0.253 x 10^-4 if number is 0.000253 or 2.53 x 10^2 if number is 253

Step-by-step explanation:

6 0
3 years ago
What is the largest sum your can get when you add 2 3 digit numbers
Ksju [112]
The biggest 3 digits whole number is 999.

Hence, the biggest sum one can do with two of those is 999+999=1998
8 0
3 years ago
Read 2 more answers
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