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2 years ago

The problem below has been solved incorrectly. Identify and explain the error.

Mathematics

1 answer:

mylen [45]2 years ago

7 0

Answer:

If you look over the steps you can see that until 4x + x + 3 = 18, evertything is dandy. But the step after that 4x + x =21 seems a bit fishy.

Think about it they subtract 3 from both sides so the first side is correct

4x + x, but they added 3 to the other side:

$(4x+x+3) - 3 = 18 - 3\\4x+x = 15$

not

4x+x = 21

Then we solve for 4x + x = 15

$5x = 15\\x = \frac{15}{5} \\x = 3$

To solve for y we use :

y = x+3

y = 3+3 = 6

so (3,6) is the right answer

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Mrs.Manning is making cookies for the bake sale. She jas 3/4 cup of flour and needs 1/3 cup of flour for her chocolate chip cook

Sedbober [7]

Answer:

The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9

Step-by-step explanation:

Fraction of Portion

Suppose we have a number n and another number m such as m>n. The portion or fraction of size n of m is given by the quotient n/m.

For example, 3 pieces of cake out of a total of 6 make them a fraction of 3/6 = 1/2 of the whole cake, i.e. half of the total available.

Mrs. Manning needs 1/3 cup of flour to make cookies for the bake sale. She actually has 3/4 cups of flour. Calculate the fraction of needed against the available flour:

$\displaystyle \frac{\frac{1}{3}}{\frac{3}{4}}$

The division can be easier performed by multiplying by the reciprocal of the denominator:

$\displaystyle \frac{1}{3}\cdot \frac{4}{3}=\frac{1*4}{3*3}$

$\displaystyle =\frac{4}{9}$

The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9

3 0

2 years ago

a grocer stacks apples in a pyramid-like stack whose rectangular base is 7 apples by 5 apples. each apple above the first level

g100num [7]

The arrangement of the apples in the stack is in a sequence that can be

used to find the number of apples in each row and in the stack.

Correct response:

The number of apples in the stack are 85 apples

<h3>How to find the sum of a sequence</h3>

The given parameters are;

Dimensions of apples in the rectangular base = 7 apples by 5 apples

Number of apples on which each apple above rests = 4 apples

Required:

The number of apples in the stack.

Solution:

The dimensions, length and width of the apples in each row decreases

by 1 compared to the row on which the apple rests, as follows;

In the base, the dimension = 7 by 5

In the row directly above, the dimension = (7 - 1) by (5 - 1)

The number of apples sequence continues and is completed by a singles row of apples at the top, from which gives;

Number of apples in the stack = 7 × 5 + 6 × 4 + 5 × 3 + 4 × 2 + 3 × 1 = 85

The number of apples in the tack = 85 apples

Learn more about sequence and series here:

brainly.com/question/13043887

4 0

2 years ago

The council rates are set to rise by 15%. If Teresa pays $950 per year now, what will she pay next year after the rise?

Eddi Din [679]

Answer:

She will pay $1092.50 because .15x950 is 142.50 and if you add that to 950. you get $1092.50

7 0

3 years ago

Can someone please help me on this question?

yan [13]

Answer: q³⁰

Explanation:

First just solve the first part using the exponent rules

p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.

Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.

Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰

4 0

3 years ago

What is the area of a circle with a radius of 42 inches? in² (Use 3.14 for Pi.)

TEA [102]

Answer:

Area of circle = π r ^ 2

= 3.14 × ( 42) ^ 2

= 5538.96 in^2

If you need any other help , please let me know ! [ you'll have to pay btw]

3 0

1 year ago