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3 years ago

Solve the inequality d – 6 < –0.5 and graph the solutions.

Mathematics

1 answer:

joja [24]3 years ago

7 0

Answer:

Hope it will help you :)

Step-by-step explanation:

d-6<-0.5

Adding 6in both sides to find out the value of d

d-6+6<-0.5+6

d<5.5

Solution set={d/d<5.5}

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2 Points

KonstantinChe [14]

Answer:

Step-by-step explanation:

The angle adjacent to x on XY = 115° ( corresponding angle )

This angle and x are adjacent and supplementary , thus

x = 180 - 115 = 65 → C

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3 years ago

Read 2 more answers

Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

1. First 5 terms:

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

2. Sum of first 25 terms:

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

3. Type of sequence

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

4 years ago

Cheddar cheese costs £7.50 for 1kg.Marie buys 200 grams of cheddar cheese.How much does she pay?(PLEASE SHOW WORKING OUT)

SVETLANKA909090 [29]

There are 1000g in a kilogram.
1000÷200=5
£7.50÷5=£1.50
The answer is £1.50

Hope this helped.

6 0

4 years ago

The area of a trapezoid is 39 square millimeters. The height of the trapezoid is 6 millimeters. One of the base legths of the tr

Andrej [43]

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3 0

3 years ago

Choose all the graphs that show a proportional relationship A, B, C, D (Multiple choice)

soldier1979 [14.2K]

Answer:

A and B

Step-by-step explanation:

The points are (1,2) and (4,8)

(4,8)=4(1,2)

(4,8)∝(1,2)

The points are(1,6)and (3,4)

We don't established any relation between them.

So , there is no relation between them.

The points are (1,6) and (3,4)

We don't established any relation between them.

So , there is no relation between them.

The points are (2,1) and (4,2)

(4,2) = 2(2,1)

(4,2)∝(2,1)

3 0

4 years ago