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3 years ago

12

Which expression is equivalent to 4 - (-7)? A. 7+4 B. 4-7 C. -7-4 D. 4+7

1 answer:

yulyashka [42]3 years ago

5 0

Answer:

D

Step-by-step explanation:

$4-(-7)$

Signs cancel out and turn into positives.

$4+7$

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The third term of an arithmetic sequence is 15 and when 20 is added to the third term the

djyliett [7]

Answer:

Common difference = 4

Position of 103 = 25th term

Step-by-step explanation:

a)

According to the given information:

$a_3 + 20 = a_8$

$a+ (3-1)d + 20 = a+ (8-1)d$

$\cancel a+ 2d + 20 = \cancel a + 7d$

$2d + 20 = 7d$

$20 = 7d-2d$

$20 = 5d$

$d = \frac{20}{5}$

$\purple {\bold {d = 4}}$

Common difference = 4

b)

$\because a_3 = 15....(given)$

$\therefore a + (3-1)d = 15$

$\therefore a + 2d = 15$

$\therefore a + 2\times 4= 15$

$\therefore a + 8= 15$

$\therefore a = 15-8$

$\red{\bold {\therefore a = 7}}$

$\because a_n = a + (n - 1) d$

$\therefore 103 = 7 + (n - 1)4$

$\therefore 103 - 7 = (n - 1)4$

$\therefore 96 = (n - 1)4$

$\therefore \frac{96}{4}= n - 1$

$\therefore 24= n - 1$

$\therefore 24+1= n$

$\blue{\bold {\therefore n = 25}}$

So, the position of 103 in this sequence is 25th term.

8 0

3 years ago

Kenya is trying to find matching socks. There are 4 red socks, 6 blue socks, and 2 white socks in her drawer. What is the probab

andreyandreev [35.5K]

Answer:

1/3 is the probaility

Step-by-step explanation:

since there are 3 different socks the answer would be 1/3

4 0

3 years ago

Read 2 more answers

The students in Roberto's school are painting a mural that will be 15 feet by 8 feet. First they make a scale drawing of the mur

bixtya [17]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In point A:

The two-point C and y is given, where C is the scale drawing lengths and y is the actual mural lengths so, the formed equation is:

$\to \frac{c}{y}=\frac{2}{5}$

In point C :

Using the value of the scale:

let 1 feet: 20 feet

therefore the equation is:

$\to \frac{c}{y}=\frac{1}{20}$

The size of c will be the length of:

$\to c= \frac{y}{20}\\\\\to c= \frac{8}{20}\\\\\to c= 0.4\\$

The diagram c scale width will be:

$\to c= \frac{y}{20}\\\\\to c= \frac{15}{20}\\\\\to c= 0.75\\$

8 0

4 years ago

Find the volume.<br> 4 cm<br> 5 cm<br> 2 cm<br> 10 cm<br> 4 cm<br> 8 cm

dmitriy555 [2]

4x5x2 ...small box 40cm3
10x4x8 ...big box 320cm3

Add both results

360cm3

Hope it works!
Good luck!

3 0

3 years ago

PLEASE HELP I NEED DONE IN 5 MINS ):: ILL COTE U BRAINLYIST !!David buys a house for $235,499 and has a 30-year, fixed-rate mort

Sati [7]

Answer:

it's oc.$1,070 girly i got u

8 0

3 years ago