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3 years ago

The sum of two numbers is 35. Three times the larger number is the same as 4 times the smaller number. Find the larger number

1 answer:

4 0

Let the 2 numbers be x and y
x+ y = 35
let the larger number be x

3x = 4y
y = 3x/4
so,
x + 3x/4 = 35
7x/4 = 35
x/4 = 5
x = 4*5 = 20

so the larger number is 20.

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A new vaccine claims to reduce the risk of contracting chickenpox from 80% to 20%. Which of the following statements is true reg

dlinn [17]

Answer:

The vaccine decreases the risk of contracting chickenpox by 75 percentage

Step-by-step explanation:

Risk of contracting chickenpox is reduced from 80% to 20%.

This reduction in percentage is:

(80 - 20)/80*100% = 75%

Correct choice is:

The vaccine decreases the risk of contracting chickenpox by 75 percentage

6 0

3 years ago

Simplify this exponential expression: (-49) 2/5

ioda

Answer:

I think it is 12 4/5

Step-by-step explanation:

hope this helps if not let me now

4 0

2 years ago

7 - 4 ( d - 3 ) = 23

astra-53 [7]

7 - 4 ( d - 3) = 23

7 - 4d + 12 = 23

Subtract 12 from both sides,

7 - 4d = 11

Subtract 7 to both sides

- 4d = 4

Divide -4 to both sides

d = -1

8 0

3 years ago

Read 2 more answers

James has $5.00 more than three times what Catherine has. Together they have $41.00. How much does each student have?

Tpy6a [65]

Hey.

acc'g to the conditions :

Let Catherine has x
and James has 5 + 3x

Then,

$5 + 4x = 41 \\ \\ \implies 4x +5 -5 = 41-5 \\ \\ \implies 4x = 36 \\ \\ \implies x= \dfrac{36}{4} \\ \\ \implies x = 9$

Hence

• Catherine has = x = $9,
• and James has = 5 +3x = 5 + 3(9) = $32

Thanks.

7 0

3 years ago

Solve the following triangle completely.

RUDIKE [14]

Answer:

The answers is below in bold.

Step-by-step explanation:

(a) A = 180 - 25.6 - 124.4 = 30 degrees.

Next use the Sine Rule:

b / sin B = c / sin C

b / sin 25.6 = 39.2/sin 124.4

b = (39.2 * sin 25.6) / sin 124.4

b = 20.53 m.

Also

a / sin A = c / sin C

a / sin 30 = 39.2 / sin 124.4

a = (39.2 * sin 30 / sin 124.4

a = 23.75 m.

b). This is solved in a similar way to (a).

First find angle C using the sine rule.

Then you will know angle A from the 180 degree Rule.

Then you can find the length of a using the Sine Rule.

4 0

3 years ago