Check What is the slope of the line on the graph?

What is the total area of the shape

solong [7]

Answer:

Area : 704 square units

Step-by-step explanation:

First you do 16 x 10 = 160

then you do 32 x 17 = 544

then you add 160 + 544 = 704 (D)

7 0

3 years ago

The admission at the movies is $5 for children and $10 for adults. The total amount collected was

sesenic [268]

Answer:

Number of children, x= 400

Number of adults, y = 100

Step-by-step explanation:

Let the number of children be x

Let the number of adults be y

Given : Total number of people, x + y = 500 --------(1)

Total amount collected, 5x + 10y = 3000 ---------(2)

(1) => y = 500 - x

Substitute y in (2) : 5x + 10(500 - x) = 3000

5x + 5000 - 10x = 3000

-5x = 3000 - 5000

-5x = -2000

x = 400

Substitute x in (1) : 400 + y = 500

y = 500 - 400

y = 100

4 0

2 years ago

Can someone double check that this is correct? If not please correct me :)

bija089 [108]

Yeah you are correct, also I need brainlest please

7 0

2 years ago

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

Hint :-

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

Solution :- 

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in Geometric Progression where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

2 years ago

Tony has 7/8 of a candy bar. he wants to split the bar into servings that are 3/10 of the bar. how many servings can he make?

erica [24]

Alright, so let's make both 7/8 and 3/10 into fractions with the same denominator.
The lowest common denominator for both of these is 80.
So, we multiply the top and bottom of 7/8 by 10, and the top and bottom of 3/10 by 8 to get fractions we can compare.
So, we have 70/80 of a candy bar, and we want to make servings of 24/80 each.
How many times can 24 go into 70? 2 times, with a remainder of 22.
So, Tony can make 2 servings.

3 0

3 years ago