1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Darina [25.2K]
3 years ago
6

Ms. Stone decided to purchase 2 reusable bottles instead. When she got to the counter, she realized she had $10.15, only ⅝ of th

e money she needed for the purchase. How much does 1 bottle cost?
Mathematics
1 answer:
Bumek [7]3 years ago
6 0

Answer:

The price of one reusable bottle is $8.12

Step-by-steetp explanation:

Ms stone wanted to purchase two reusable bottles but discovered she had only ⅝of the Mone and that ⅝ is equal to $ 10.15.

So the cost of what she wants to purchase will be called x.

Mathematically

⅝ * x = 10.15

X = (10.15*8)/5

X = 81.2/5

X= 16.24

The price of the two bottles is $16.24

So the price if one bottle will be calculated as follows.

2 bottles=$ 16.24

One bottle= $16.24/2

One bottle= $8.12

The price of one reusable bottle is $8.12

You might be interested in
The length of a rectangular wire frame with dimensions of 12 cm × 8 cm increases at the rate of 0.5 cm per second, while its wid
arsen [322]

Answer:

2/3

Step-by-step explanation:

Since the length increases by 0.5 cm every second, after 8 seconds the length will increase by 4 cm. 12 + 8 + 12 + 8 = 40, and 40 - (16 + 16) = 8. 8/2 = 4, so the width is now 4. 16 * 4 = 64, and 12 * 8 = 96. 64/96 = 2/3.

7 0
3 years ago
F(x) = -x^2+10x-6<br> Find f(-5)
lianna [129]

9514 1404 393

Answer:

  f(-5) = -81

Step-by-step explanation:

Put -5 where x is and do the arithmetic.

  f(-5) = -(-5)^2 +10(-5) -6

  f(-5) = -25 -50 -6

  f(-5) = -81

8 0
3 years ago
The difference between the areas of the figures is less than 4.
coldgirl [10]

Answer:

1. |40 – 4x| < 4

2. 9 < x < 11

Step-by-step explanation:

We'll begin by calculating the area of each figure. This can be obtained as follow:

For triangle:

Area = ½ × base × height

Base = 8

Height = 6

Area =?

Area = ½ × 8 × 6

Area = 4 × 6

Area = 24

For Rectangle:

Area = length × breadth

Length = x – 4

Breadth = 4

Area =?

Area = (x – 4) × 4

Area = 4x – 16

Summary:

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

1. Writing an absolute value for the inequality.

From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:

Aₜ – Aᵣ < 4

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

24 – (4x – 16) < 4

Simplify

24 – (4x – 16) < 4

Clear bracket

24 – 4x + 16 < 4

24 + 16 – 4x < 4

40 – 4x < 4

Thus, we can write the absolute value for the above inequality as:

|40 – 4x| < 4

2. Determination of the solution of the inequality.

This is illustrated below:

|40 – 4x| < 4

Thus the above equation can be written as

– 4 < 40 – 4x < 4

Subtract 40 from both side

– 4 – 40 < 40 – 4x – 40 < 4 –40

– 44 < – 4x < – 36

Divide through by –4

– 44/–4 < x < – 36/–4

11 > x > 9

Note: the inequality sign changed because we divided by a negative number

Thus, 11 > x > 9 becomes 9 < x < 11

Therefore, the solution to the inequality is 9 < x < 11

3 0
3 years ago
A nature preserve worker calculates there are 6,000 deer in Sharon Woods Park. She also estimates that 75 more deer die than are
Nikolay [14]

The linear equation used to represent this situation is y = -75x + 6000

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let y represent the amount of deer present in x years. There are 6000 deer presently, hence a = 6000. Also 75 more deer die than are born each year. Hence m = -75.

The linear equation is given by:

y = -75x + 6000

In 3 years:

y = -75(3) + 6000

y = 5775

For there to be 5325 deer:

5325 = -75x + 6000

x = 9 years

Find out more at: brainly.com/question/21105092

5 0
2 years ago
Find the equivalent fractionsss with large denominatorsss
Stella [2.4K]

Answer:

12

Step-by-step explanation:

\frac{3}{8}  =  \frac{?}{32}

8*4=32

3*4=12

6 0
1 year ago
Other questions:
  • there are about 1.5 grams of fat in 1 tablespoon of humans. how many grams of fat are in 2 1/2 of hummus?
    7·1 answer
  • Alex is installing wooden flooring in his room. The room is rectangular in shape with length of 12 feet and width of 10 feet.
    5·1 answer
  • I need help with this Algebra 1 Study Guide. It has 5 questions . This has many hard questions so to you people that like a chal
    11·1 answer
  • (15/8+2/5)+(-7/8) show ur work
    6·1 answer
  • If Joey has 6 fish and 1/3 of them are striped, how many are striped?​
    9·2 answers
  • Eve has 17,493 pony beads, 14,07 pearl beads, 8,037 shell beads, and 6,834 bugle beads. Yvette has 294,972 more beads than Eve.
    12·1 answer
  • Write the number 1/10,000,000 as a power of 10 using a negative exponents
    5·1 answer
  • jordan talks to his friends every 15 minutes during class.If the school day last for 6 1/4 hours, how many times will jordan tal
    12·1 answer
  • How do you solve the problem for this equation? 3+5x=3
    6·2 answers
  • The measure of the​ angle's supplement is 60
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!