All categories

3 years ago

PLEASE ANSWER THIS QUESTION Show that 4x – 7 is equivalent to 4(x - 1) – 3 when x = 3.

Mathematics

1 answer:

Drupady [299]3 years ago

7 0

Answer:

4(3) - 7 = 4(3 - 1) - 3

12 - 7 = 4(2) - 3

5 = 8 - 3

= 5

They are equivalent because when they are both simplified they have the same answer 5

You might be interested in

As the Earth revolves around the sun, it travels at a speed of approximately 18

zzz [600]

So if the earth goes 18 miles per second you would multiply 18 and 60 since 60 seconds are in a minute. And that is 1,080 miles in a minute then times that by 5 and your answer is 5,400 miles in 5 minutes.

4 0

3 years ago

A coin collector has $45 in just dimes and quarters in a piggy bank he counted all the coins and there are 240 total how many ea

Whitepunk [10]

Answer:

The number of <u>dimes are 100</u> and number of <u>quarters are 140.</u>

Step-by-step explanation:

Let the number of dimes be 'd' and quarters be 'q'.

Given:

The sum of amount is $45.

The total number of coins are 240.

1 dime = $0.10

∴ 'd' dimes = $\$0.10d$

1 quarter = $0.25

∴ 'q' quarters = $\$0.25q$

Now, as per question:

$d+m=240-----1\\0.1d+0.25q=45---2$

Multiplying equation (1) by -0.1 and adding the result to equation (2), we get:

$-0.1d-0.1q=240\times -0.1\\-0.1d-0.1q=-24\\0.1d+0.25q=45\\-----------\\0.15q=21\\q=\frac{21}{0.15}=140\\\\d=240-q=240-140=100$

Therefore, the number of dimes are 100 and number of quarters are 140.

7 0

3 years ago

How to simplify the complex number (9 - 2i) - (-2 + 6i) ?

matrenka [14]

$(9 - 2i) - (-2 + 6i) \\ \\ 9 - 2i + 2 - 6i \\ \\ (9+2) + (-2i - 6i) \\ \\ 11 - 8i \\ \\ Answer: \fbox {11 - 8i}$

3 0

3 years ago

If 30g of sugar is needed to make 4 cakes how much grams of sugar is needed to make 7 cakes

arsen [322]

There's two ways to do this.

The first way:
Work out the amount of sugar needed to make one cake, and then multiply that by 7.

30 grams ÷ 4 cakes = 7.5 grams for 1 cake.
7.5 grams × 7 cakes = 52.5 grams for 7 cakes.

The second way:
Work out the ratio of sugar:cake by doing 7 ÷ 4, and then multiplying that value by 30.

7 cakes ÷ 4 cakes = 1.75
1.75 × 30 grams = 52.5 grams for 7 cakes.

Either way, the answer is 52.5 grams.

6 0

3 years ago

Iris made bracelets with string and beads. She used x centimeters of string to make 7 bracelets. She used 17.8 centimeters of st

iren [92.7K]

Answer:

124.6 centimeters

Step-by-step explanation:

7(17.8) = x

Simplify:

x = 124.6

3 0

3 years ago

PLEASE ANSWER THIS QUESTION Show that 4x – 7 is equivalent to 4(x - 1) – 3 when x = 3.​

PLEASE ANSWER THIS QUESTION Show that 4x – 7 is equivalent to 4(x - 1) – 3 when x = 3.