Ask question

Ask question

All categories

3 years ago

6

Nico dropped the brand new bottle of dog shampoo and 3 ounce spilled out. He measured 1 1/4 ounces each time he shampoos his dog

and the bottle of shampoo originally contained 30 1/2 ounces. What is an equation and value of x the number of times Nico can bathe his dog using this one bottle

2 answers:

GalinKa [24]3 years ago

7 0

Answer:

equation ( 1.25x = 27.5 ) and x = 22.

Step-by-step explanation:

Shampoo bottle contains shampoo = $30\frac{1}{2}$ ounces = 30.5 ounces

If 3 ounces spilled out the remaining amount of shampoo = ( 30.5 - 3 ) = 27.5 ounces.

Every time he shampoos his dog, amount of shampoo required = $1\frac{1}{4}$ ounces = 1.25 ounce

If x is the number of times Nico can bathe his dog using the same bottle of shampoo then total amount used = (1.25) (x) ounces

Now remaining amount of shampoo = ttal amount used to shampoo the dog

(27.5) = (1.25x)

x= $\frac{27.5}{1.25}$ = 22 times

So answer will be equation ( 1.25x = 27.5 ) and x = 22.

Ksju [112]3 years ago

4 0

Answer:

30 1/2 - 3 = 27 1/2

27 1/2 = 1 1/4x

he can bathe his dog 22 times

Step-by-step explanation:

You might be interested in

Can you solve this for me

jenyasd209 [6]

The number in the blank box should be 44 because it said that "3 times x and 4 times y is 44".

You need to multiply the first equation by 3:

3x + 3y = 39.

Then, subtract the first equation from the second equation:

3x - 3x = 0

4y - 3y = y

44 - 39 = 5

Your new equation should look like this: y = 5

Now, substitute y = 5 into the first original equation:

x + 5 = 13

x = 8

Ans. (x, y) = (8, 5)

4 0

2 years ago

The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?

Snezhnost [94]

Answer:

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

$x + y = 9.9$

$x^{2} + y^{2} = 53.21$

First, $x$ is cleared in the first equation:

$x = 9.9 - y$

Now, the variable is substituted in the second one:

$(9.9-y)^{2} + y^{2} = 53.21$

And some algebra is done in order to simplify the expression:

$98.01-19.8\cdot y +2\cdot y^{2} = 53.21$

$2\cdot y^{2} -19.8\cdot y +44.8 = 0$

Roots are found by means of the General Equation for Second-Order Polynomials:

$y_{1} \approx \frac{32}{5}$ and $y_{2} \approx \frac{7}{2}$

There are two different values for $x$ :

$y = y_{1}$

$x_{1} = 9.9-6.4$

$x_{1} = 3.5$

$y = y_{2}$

$x_{2} = 9.9 - 3.5$

$x_{2} = 6.4$

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

5 0

3 years ago

Which statement decribes the ratio 13:8?

Mamont248 [21]

Answer:

D

Step-by-step explanation:

that what I think but not sure

4 0

3 years ago

Read 2 more answers

Simple interest $1200 8% 2years

Gennadij [26K]

This is a screen shot of an online calculator called mathportal.com it shows the work used to find the answer to this question

Hope this helped and have an amazing day :)

-yO mAmA

5 0

3 years ago

Consider the sequence Two-fourths, three-fifths, four-sixths, StartFraction 5 Over 7 EndFraction, ellipsis Which statement descr

Phoenix [80]

Answer:

The sequence converges to 1

Step-by-step explanation:

Given

$\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},...$

Require

Description of the sequence

The given sequence follows:

$\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},... \frac{n+1}{n+3}$

i.e.

$T_n = \frac{n+1}{n+3}$

For every term,

$\frac{n+1}{n+3} < 1$

In other words,

as the value of n increases, $\frac{n+1}{n+3}$ approaches 1

<em>Hence, (c) is true</em>

6 0

3 years ago