All categories

2 years ago

1. 5 less than one fourth of x is y.

Mathematics

1 answer:

horsena [70]2 years ago

6 0

Answer

y = (1/4)x - 5 or 4y - x + 20 = 0

Explanation

To get the rule required, we interpret the sentence and write it in a mathematical form.

5 less than one fourth of x is y

one fourth of x ⇒ (1/4)x

5 less than one fourth of x is y ⇒ (1/4)x - 5 = y

y = (1/4)x - 5

4y = x - 20

4y - x + 20 = 0

You might be interested in

A lady buys 20 trinkets at a yard sale.

Katen [24]

Answer:

Lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.

Step-by-step explanation:

A lady buys total number of trinkets = 20

Cost of each trinket is either $0.30 or $0.65.

Let the number of trinkets is x she purchased for $0.30 and y for $0.65

Then x + y = 20 --------(1)

Since she spends total amount = $8.80

Then the equation will be

0.30x + 0.65y = 8.80 ---------(2)

We replace x = (20 - y) from equation (1) to equation (2)

0.30(20 - y) + 0.65y = 8.80

6 - 0.30y + 0.65y = 8.80

0.35y + 6 = 8.80

0.35y = 8.80 - 6

0.35y = 2.80

y = $\frac{2.80}{0.35}$

y = 8

Now we put y = 8 in equation (1)

x + 8 = 20

x = 20 - 8

x = 12

Therefore, lady purchased 12 trinkets costing $0.30 each and 8 trinkets costing $0.65 each.

7 0

3 years ago

Evaluate x(y+3)/(3+y)z for x=12, y=1, and z=6. A) 2 B) 5 C) 8 D) 6

fgiga [73]

Answer:

Step-by-step explanation:

We take the equation

$x(y+3)/(3+y)z$

and substitute the values for each individual variable in the problem. It looks like this:

$12(1+3)/(3+1)6$

Now we can solve the equation.

When solved, it equals 2.

5 0

2 years ago

Read 2 more answers

alex purchased a 2010 model sedan for $24,000. The dealership offered him a $199/month payment plan for 48 months, at the end of

trapecia [35]

a = prt

a = 24,000 x 0.06 x(48 / 12)(you have to turn months into years)

a = 24,000 x 0.06 x 4

a = $5,760

The payment due is $5,760

7 0

3 years ago

Read 2 more answers

Use the Law of Sines to find the measure of angle J to the nearest degree.

rjkz [21]

$\bf \textit{Law of sines}
\\ \quad \\
\cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c}\\\\
-----------------------------\\\\
\cfrac{sin(J)}{9.1}=\cfrac{sin(97^o)}{11}\implies sin(J)=\cfrac{9.1\cdot sin(97^o)}{11}
\\\\\\
\textit{now taking }sin^{-1}\textit{ to both sides}
\\\\\\
sin^{-1}\left[ sin(J) \right]=sin^{-1}\left( \cfrac{9.1\cdot sin(97^o)}{11} \right)
\\\\\\
\measuredangle J=sin^{-1}\left( \cfrac{9.1\cdot sin(97^o)}{11} \right)$

8 0

3 years ago

Which statement reveals Kamkwamba’s ability to overcome obstacles? He didn’t care about getting an education and chose to leave

Pani-rosa [81]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers