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3 years ago

Can i get a step by step for this?

Mathematics

1 answer:

jonny [76]3 years ago

8 0

Answer:

x = 85°

Step-by-step explanation:

Sum of interior angles of any triangle is 180°:

52° + 43° + x = 180°
95° + x = 180°
x = 180° - 95°
x = 85°

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Al saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl

ser-zykov [4K]

Answer:

2744 pennies.

Step-by-step explanation:

Let x represent the number of pennies Al have initially.

We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be $\frac{3}{7}x$ .

We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be $\frac{3}{7}x\cdot \frac{3}{7}=\frac{9}{49}x$ .

Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be $\frac{9}{49}x\cdot \frac{3}{7}=\frac{27}{343}x$ .

We are also told that Dani received 216 pennies. Now, we will equate 216 to $\frac{27}{343}x$ and solve for x as shown below:

$\frac{27x}{343}=216$

$\frac{27x}{343}*343=216*343$

$27x=74088$

$\frac{27x}{27}=\frac{74088}{27}$

$x=2744$

Therefore, Al have 2744 pennies initially.

3 0

3 years ago

8 times the quantity d minus 3

notsponge [240]

8(d-3)
Whatever is written after the word 'quantity' means the following were in parenthesis.

7 0

3 years ago

Read 2 more answers

Fractions are equivalent to 9/8

astraxan [27]

Answer:

9/8, 18/16, 27/24, 36/32, 45/40, 54/48, 63/56, 72/64, 81/72, 90/80, and so on ...

Explanation:

Two fractions are equivalent when they are both equal when written in lowest terms. The fraction 18/16 is equal to 9/8 when reduced to lowest terms. To find equivalent fractions, you just need to multiply the numerator and denominator of that reduced fraction (9/8) by the same integer number, ie, multiply by 2, 3, 4, 5, 6 ...

18/16 is equivalent to 9/8 once 9 x 2 = 18 and 8 x 2 = 16

27/24 is equivalent to 9/8 once 9 x 3 = 27 and 8 x 3 = 24

36/32 is equivalent to 9/8 once 9 x 4 = 36 and 8 x 4 = 32

5 0

3 years ago

Show twelve in four different ways.use words, pictures and numbers

IRINA_888 [86]

You can draw 12 lines
Draw a dime and two pennies
Draw a circle and cut it into 12 different pieces
Write out the number 12 Twelve
Write 12

5 0

3 years ago

Convert the inequalities into equations, and then use the substitution method to find four possible vertices in the form (x, y,

alina1380 [7]

Answer:

For 2x + 5y < 100, x + y < 30. Vertices : (50,0) , (0,20) , (35,0) , (0,35) , (25,0)

Step-by-step explanation:

Considering inequality equations

i) 2x + 5y < 100 ;

ii) x + y < 35

Concerting them to equality conditions

i) 2x + 5y =100.

Intercepts : If y = 0, x = 50. So, (50,0). If x = 0, y = 20. So, (0,20)

ii) x + y = 35. Intercepts :

Intercepts : If y = 0, x = 35. So, (35,0). If x = 0, y = 35 So, (0,35)

Solving them as per equality (with substitution)

From ii), x = 35 - y . Putting the value in i)

2 (35 - y) + 5y = 100 → 70 - 2y + 5y = 100 → 70 + 3y = 100

3y = 100 - 70 → 3y = 30 → y = 30 / 3 = 10

Putting y = 10 in ii) : x = 35 - 10 = 25

As per the 'less than' inequalities : the inner 'towards origin' area from both lines is in common shaded area.

Henceworth, vertices are : (50,0) , (0,20) , (35,0) , (0,35) & intersection (25,0)

8 0

3 years ago