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3 years ago

Subtract using the number line!!!!!!!!! Help

Mathematics

2 answers:

KengaRu [80]3 years ago

7 0

Hello! The think the Answer is - 1 1/2

kakasveta [241]3 years ago

7 0

since its going to a positive i think it would be D

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Mrs. Reed collects shells. Each shell in her collection weighs about 4 ounces. Her collection weighs about 12 pounds in all. Abo

Mariana [72]

Answer:

There are about 48 shells in Mrs. Reeds collection.

Step-by-step explanation:

There are 16 ounces per 1 pound.

4 ounces per shell.

16 x 12 = 192 ounces

192 ounces divided by 4 = 48

8 0

3 years ago

A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021

egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

$\displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}$

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

$\displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}$

Therefore, for the last term we have;

$\displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}$

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

$\displaystyle \frac{A}{2} = \mathbf{ 1011 \cdot \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460} \right)}$

$\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2} +\frac{1}{2} - \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022} \right)$

Which gives;

$\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2022} \right)$

$\displaystyle A = 2 \times 1011 \cdot \left(1 - \frac{1}{2022} \right) = \frac{1032231}{511} \approx \mathbf{2020.022}$

A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0

2 years ago

Read 2 more answers

PLEASE ANSWER ASAP CAUSE THIS QUIZ IS DUE SOON

AlladinOne [14]

Answer:

4x-2y=2

Step-by-step explanation:

Line R is represented by the following equation:

x+y=2

We need to choose another system of equation of x+y=2

whose solution is (1,1)

The equation must be satisfy the point (1,1)

Option 1: 2x+y = 2

Put x=1 and y=1

2(1)+1 = 3

3 ≠ 2

False

Option 2: 4x-2y=2

Put x=1 and y=1

4(1) - 2(1) = 2

2 = 2

True

Option 3: 2x-2y=2

Put x=1 and y=1

2(1) - 2(1) = 0

0 ≠ 2

False

Option 4: x+y=4

Put x=1 and y=1

1+1 = 2

2 ≠ 4

False

Hence, The system of equation is 4x-2y=2

5 0

3 years ago

Which point is a solution to the linear equality y<-1/2x+2

Effectus [21]

Answer:

There are many points that are solutions to the equation, but one of which would be (1, 2)

Step-by-step explanation:

In order to tell if they are a solution, we use the values in the inequality and see if it results in a true statement.

y < -1/2x + 2

1 < -1/2(1) + 2

1 < -1/2 + 2

1 < 3/2 (This is a true statement)

Since it is a true statement, we know it is a solution.

5 0

3 years ago

Ms. Patterson burns 236 calories riding her bike every hour. She wants to burn more than 590 calories riding her bike at the sam

Alekssandra [29.7K]

Ms. Patterson will take t>2.5 hours to burn 590 calories riding her bike at the same rate which is 236 calories every hour.

<h3 /><h3>What amount of time Ms. Patterson will take to burn more then 590 ?</h3>

Given that -

she burns 236 calories in 1 hour get = $\dfrac{1}{236}$ hours

so time taken to burn 590 calories at same rate = $590 \times\dfrac{1}{236}$ hours

so time taken to burn 590 calories at same rate = 2.5 hours

hence Ms. Patterson will take t>2.5 hours to burn 590 calories riding her bike at the same rate which is 236 calories every hour.

To know more about follow

brainly.com/question/14733838

3 0

2 years ago