Ask question

Ask question

All categories

3 years ago

12

Tammy picks apples at an orchard. She earns $3.10 for each hour she works and $2.30 for each bushel of apples she picks. Her goa

l is to earn at least $100 this week.
Write an inequality that will help Tammy determine the number of hours (h) and bushels (b) she needs to reach her goal.

1 answer:

qaws [65]3 years ago

8 0

Answer:

3.10h + 2.30b ≥ 100

Step-by-step explanation:

Tammy earns $3.10 for each hour,

Let h represents hour,

So total earning for h number of hours will be 3.10h

Tammy earns $2.30 for each bushel of apples

Let b represents bushel of apples,

So total earning for b number of bushels will be 2.30b

Tammy's goal is to earn at least $100 this week

Therefore, to reach her goal the inequality will be

3.10h + 2.30b ≥ 100

Where h is the number of hour and b is the number of bushels.

You might be interested in

Jess is 12 years less than half as old as Mac. The sum of their age is 87. How old is each person?

laila [671]

Answer:

The age of each person is:

Jess is <u>21</u> years old.
Mac is <u>66</u> years old.

Step-by-step explanation:

To solve this problem you must make two equations. First, we name Jess and Mac as variables:

j = Jess age.

m = Mac age.

Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":

1. $j=(\frac{m}{2})-12$

The second equation has the information "The sum of their age is 87":

2. $j+m=87$

Now, we replace the first equation in the second one:

$(\frac{m}{2}-12) +m=87$

And we operate:

$\frac{m-24}{2} +m=87$
$\frac{m-24+2m}{2}=87$
$\frac{3m-24}{2}=87$

We clear the variable m:

$3m-24=87*2$
$3m=174+24$
$m=\frac{198}{2}$
$m=66$

How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:

$j+m=87$

We replace the value of m:

$j+66=87$

And clear the variable j:

$j=87-66$
$j=21$

In the end, Jess's age is 21 years old.

4 0

2 years ago

How do you turn 7 29/80 into a decimal im so confused?

fgiga [73]

Answer:

7.3625

Step-by-step explanation:

To convert a fraction to decimal, we divide the numerator by the denominator using long division and to convert a fraction.

hope i helped.

-lavira :)

7 0

2 years ago

Find the slope of the line. Write your answer in simplest form.

Goshia [24]

Slope: (y2-y1)/(x2-x1)
Points given: (-4,1) and (1,-2)
(-2-1)/(1+4) = -3/5
Answer: the slope is -3/5

6 0

3 years ago

What is a reasonable estimate for the solution? O (1,-3/4) O (-3/4,1) O (-1,3/4) O (3/4,-1)

Zina [86]

Answer:

See Explanation

Step-by-step explanation:

Your question is incomplete, as the equations or graph or table(s) were not given.

However, I'll give a general way of solving this.

Take for instance, the equations are:

$y = \frac{4}{3}x - 1$

$y = \frac{2}{3}x - \frac{1}{2}$

To do this, we start by equating both equations.

$y = y$

i.e.

$\frac{4}{3}x - 1= \frac{2}{3}x - \frac{1}{2}$

Collect Like Terms

$\frac{4}{3}x - \frac{2}{3}x= 1 - \frac{1}{2}$

Take LCM

$\frac{4x- 2x}{3}= \frac{2 - 1}{2}$

$\frac{2x}{3}= \frac{1}{2}$

Cross Multiply

$2x * 2 = 3 * 1$

$4x = 3$

Make x the subject

$x = \frac{3}{4}$

Substitute 3/4 for x in $y = \frac{4}{3}x - 1$

$y = \frac{4}{3} * \frac{3}{4} - 1$

$y = 1 - 1$

$y = 0$

Hence:

$(x,y) = (\frac{3}{4},0)$

6 0

2 years ago

Consider the graph of the quadratic function y=3x↑2↓-3x-6.what are the solutions of the quadratic equation 0=3x↑2↓-3x-6

Shkiper50 [21]

X = 2 or -1

factors to 3(x-2)(x+1)=0

7 0

2 years ago