Write the equation for 30 is 75% of what number

You make 24 cookies using 2 cups of sugar

Softa [21]

Answer:

ok

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

The sum of the reciprocals of two consecutive even integers is 3/4 Find the two integers.

Vedmedyk [2.9K]

$\Large{ \underline{ \underline{ \bf{ \orange{Solution:}}}}}$

Let one of those even numbers be x, Then other even number would be x + 2.

According to question,

⇛ Their reciprocal add upto 3/4

So, we can write it as,

⇛ 1/x + 1/x + 2 = 3/4

⇛ x + 2 + x / x(x + 2) = 3/4

⇛ 2x + 2 / x² + 2x = 3/4

Cross multiplying,

⇛ 3(x² + 2x) = 4(2x + 2)

⇛ 3x² + 6x = 8x + 8

⇛ 3x² - 2x - 8 = 0

⇛ 3x² - 6x + 4x - 8 = 0

⇛ 3x(x - 2) + 4(x - 2) = 0

⇛ (3x + 4)(x - 2) = 0

Then, x = -4/3 or 2

☃️ It can't be -4/3 because it is fraction and negative number. So, x = 2

Then, x + 2 = 4

✤ So, The even numbers are 2 and 4.

━━━━━━━━━━━━━━━━━━━━

4 0

4 years ago

4 Muffins on each plate. There are 0 plates of lemon muffins.

GaryK [48]

For this case, the first thing we must do is define a variable.
We have then:
x: number of muffin plates
We now write the expression that models the problem.
We know there are 4 muffins in each dish, therefore, we have:
$4x
$
Substituting for x = 0 we have:
$4 (0) = 0
$
Answer:
There are 0 lemon muffins
d: 0

7 0

3 years ago

Read 2 more answers

Suppose x, y and z are integers. Prove that, if 3x−y + 5z is even, then at least one of x, y or z is even.

Elden [556K]

Given:

x, y and z are integers.

To prove:

If $3x-y+5z$ is even, then at least one of x, y or z is even.

Solution:

We know that,

Product of two odd integers is always odd. ...(i)

Difference of two odd integers is always even. ...(ii)

Sum of an even integer and an odd integer is odd. ...(iii)

Let as assume x, y and z all are odd, then $3x-y+5z$ is even.

$3x$ is always odd. [Using (i)]

$5z$ is always odd. [Using (i)]

$3x-y$ is always even. [Using (ii)]

$(3x-y)+5z$ is always odd. [Using (iii)]

$3x-y+5z$ is always odd.

So, out assumption is incorrect.

Thus, at least one of x, y or z is even.

Hence proved.

4 0

3 years ago

A shoe store sends an email survey to all customers who pay with a debit card. The previous month, 34,000 people made debit card

jasenka [17]

Answer:

The population is 34,000. The sample is 2,000

Step-by-step explanation:

Population in statistics can be explained as the group or set of all elements which are of particular interest to a researcher or a study. In the scenario above, the research interest concerns customers who pay with a debit card, whose number amounts to 34,000, this value refers to the population. The sample is referred to as the subset of the population or larger sample, the sample from the study corresponds to number of debit card users who were selected at random to participate in the survey. This value is 2000.

3 0

3 years ago

Write the equation for 30 is 75% of what number​

Write the equation for 30 is 75% of what number