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3 years ago

I need an explanation and an answer please.

Mathematics

1 answer:

torisob [31]3 years ago

6 0

we have,

14x+8+6x+12=180 {interior angle}

or, 20x+20= 180

or, 20x= 180- 20

or, x= 160/20

:. x= 8

Now,

14x+8= 14.8+8

= 112+8 =120

6x+12= 6.8+12

= 48+12 = 60

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The fourth question please.

garik1379 [7]

Going from the left to the right. 9, 4, 13, 15, 12, 6, 11. The total cost is the sum of these, or $70,000.

8 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

2 years ago

Lynn takes her puppy, Olive, to a doggy daycare. The price for the daycare is $21 per day along with a monthly admission fee of

Lapatulllka [165]

Hello there!

We can use the following expression:

$426 ÷ $48 = d

Hope this helps! Tell me if I'm wrong!

~DL

5 0

2 years ago

Read 2 more answers

The mathematics department of a college has 6 male professors, 9 female professors, 5 male teaching assistants, and 6 female tea

Hitman42 [59]

Given:

6 male professores

9 female professores

5 male teaching assistants

6 female teaching assistants

Sol:.

$N(A\text{ or B)=N(A)+N(B)-N(A and B)}$

N (professors)

$\begin{gathered} =6+9 \\ =15 \end{gathered}$

N(Male)

$\begin{gathered} =6+5 \\ =11 \end{gathered}$

N(professors and male)

$=6$

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

$\begin{gathered} N(\text{ Professors OR male)=15+11-6} \\ =20 \end{gathered}$

N(People to choose from)

$\begin{gathered} =6+9+5+6 \\ =26 \end{gathered}$

Then probablitiy is:

$\begin{gathered} =\frac{20}{26} \\ =\frac{10}{13} \end{gathered}$

Then the probability is 10/13

6 0

7 months ago

Follow the directions to solve the system of equations by elimination.

omeli [17]

Answer:

X= 1/2 Y= 5

Step-by-step explanation:

8x+7y=39-------------(1)--------×2

4x-14y= -68-----------(2)-------×1

16X + 14Y = 78--------(3)

4X- 14Y = -68----------(4)

Addy equation (4) and (3)

20X = 10

dividing bothsides by 20

20X/20= 10/20

X = 1/2

substitute the value of X into equation (1)

8X+7Y = 39

8(1/2)+7Y= 39

4+7Y = 39

7Y = 39-4

7Y = 35

dividing bothsides 7

7Y= 35/7

Y = 5

5 0

1 year ago