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3 years ago

Solve the inequality. Graph the solution. -11>m+4 or 2m≥-16

Mathematics

1 answer:

Maurinko [17]3 years ago

5 0

Answer: Exact Form:

Decimal Form:

2.58

Mixed Number Form:

Step-by-step explanation:

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Last year 1,000 people attended a town’s annual parade. This year 1,400 people attended. What was the percent increase in attend

Veseljchak [2.6K]

Answer:

40%

Step-by-step explanation:

Subtract 1,400 by 1,000 then divide by 1,000

3 0

3 years ago

Tim explained a function in words and Paul wrote an equation. Tim The amount of money in Marshas savings account increases at a

soldier1979 [14.2K]

Answer:

Tim has the smaller y-intercept = 2780

Step-by-step explanation:

Tim explains that Marshas saving increases by 225 per month. After 8 months, Marsha's has 4580 in his account.

Let m be the gradient(change per month)

Let y be the initial money in Marsha's account.

Let y1 be the amount in Marsha's account after 8 months

y1 = 4580

Let x be the initial month d money was put into the account.

Let x1 be the number of months it takes for money to increase to 4580

x1= 8

(y - y1) /(x - x1) = m

(y - 4580)/ (x - 8) = 225

y - 4580 = 225(x - 8)

y - 4580 = 225x - 1800

y = 225x - 1800 + 4580

y = 225x + 2780

Comparing with y = mx + c, c(intercept) = 2780

For Paul,

y - 1400 = 56(x + 26)

y -1400 = 56x + 1456

y = 56x + 1456 + 1400

y = 56x + 2856

Comparing with y = mx + c, c(intercept) = 2850

Therefore comparing Tim's Y intercept and Paul's Y intercept,

2780 < 2856

Tim's function smaller y intercept = 2780

7 0

4 years ago

What is the area, in square inches, of the shaded part of the rectangle below? 18

astra-53 [7]

The shaded part’s area would be 135 in

7 0

3 years ago

Read 2 more answers

Any number that is divisible by 4 is also divisible 8 counter example

MissTica

The simplest example would be 4. 4 is divisible by 4, but not by 8, since $\dfrac44=1\in\mathbb Z$ , but $\dfrac48=\dfrac12\not\in\mathbb Z$ . (The quotient needs to be an integer)

7 0

4 years ago

Can anyone help me with these questions plz

KonstantinChe [14]

Answers:

7: 20 miles

8: 28 miles

9: 1 error

10: Their speed is 50

11: 365 words in 5 mins

Step-by-step explanation:

#7 and #8

Our equation is: $f=2.25+0.20(m-1)$ With f meaning "fare" (price) and m meaning "miles".

Question 7 - Juan's fare for his ride costs $6.05. We must solve for $m$ .

Step 1. Substitute - Substitute the fare for $f$ in the equation.

$6.05=2.25+0.20(m-1)$

Step 2. Simplify/Solve - Solve for $m$ .

$6.05=2.25+0.20(m-1)$

- Distribute

$6.05=2.25+0.2m-0.2$

- Subtract 0.2 from 2.25

$6.05=2.05+0.2m$

- Subtract -2.05 from 6.05

$4=0.2m$

- Divide both sides by 0.2

$20=m$

And you have your answer of 20 miles.

Question 8 - Same equation, different fare.

Step 1. Substitute

$7.65=2.25+0.20(m-1)$

Step 2. Solve

$7.65=2.25+0.20(m-1)\\7.65=2.25+0.20m-0.20\\7.65=2.05+0.20m\\5.6=0.20m\\28=m$

And like so, we have $m = 28$

Questions 9 - 11

The equation given is $S=\frac{1}{5} (w-10e)$ . S = typing speed, w = words per 5 mins, and e= errors.

Question 9 -

We are given this information: S = 55, W = 285. We are solving for e.

Substitute -

$55=\frac{1}{5} (285 -10e)$

Solve -

$55=\frac{1}{5} (285 -10e)\\55=\frac{1}{5} (285 -10e)\\55= 57-2e\\-2=-2e\\1=e$

So they would make 1 error.

Question 10 -

Information given: 300 = w, 5=e. We are solving for S

Substitute -

$S= \frac{1}{5} (300-10(5))$

Solve -

$S= \frac{1}{5} (300-10(5))\\S= \frac{1}{5} (300-50)\\S= \frac{1}{5} (300-50)\\S= \frac{1}{5} (250)\\S= 50$

Their speed is 50.

Question 11 -

Information given: S = 65, e = 4. We are solving for w.

Substitute -

$65=\frac{1}{5} (w-10(4))$

Solve -

$65=\frac{1}{5} (w-10(4))\\65=\frac{1}{5} (w-40)\\65=\frac{1}{5}w-8\\73=\frac{1}{5}w\\365=w$

So w = 365.

Hoped this helped!~

7 0

4 years ago