What is the area of this shape? PLEASE HELP!

A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e

iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), $y=\frac{3x}{2}$

From (3), $z=\frac{5x}{4}$

Substituting the above in (1), we get,

$x+\frac{3x}{2} +\frac{5x}{4} =570$

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = $\frac{3(152)}{2}$

y = 228

z = $\frac{5(152)}{4}$

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Check:

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5

8 0

3 years ago

What is the value of the digit 2 in this number?

antiseptic1488 [7]

The answer is A = 2 tenths
C = .2
A and C

6 0

3 years ago

An Internet store charges a base fee plus $1.50 per pound to ship items. The table shows samples of their shipping rates.

nalin [4]

Answer: For Last Question 4.50

Step-by-step explanation:It depends on the price per pound. Let's say the price per pound is 50 cents (or 0.50). (This is an example, the answer I'm giving will most likely NOT be correct, due to the nature of your question - sorry!) To calculate the price of Derek's package, you would multiply 7 (the weight of the package) by 0.50 (the price per pound), which totals to 3.50 Next, to calculate the price for Keisha's package, you'd do the same thing, but instead of multiplying 7 by the price per pound, you would multiply 10 by the price per pound, or 0.50. This multiplies out to 5 dollars. Next you'd subtract Derek's price from Keisha's, which is 5 - 3.50 or 1.50. If it is asking for a percentage, it would be about 150%.

7 0

3 years ago

Read 2 more answers

An insurance company selected samples of clients under 18 years of age and over 18 and recorded the number of accidents they had

Stolb23 [73]

Answer:

Q1 z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the that means have no difference

Q2 CI 95 % = ( 0,056 ; 0,164 )

Step-by-step explanation:

Sample information for people under 18

n₁ = 500

x₁ = 180

p₁ = 180/ 500 p₁ = 0,36 then q₁ = 1 - p₁ q₁ = 0,64

Sample information for people over 18

n₂ = 600

x₂ = 150

p₂ = 150 / 600 p₂ = 0,25 then q₂ = 1 - p₂ q₂ = 1 - 0,25 q₂ = 0,75

Hypothesis Test

Null hypothesis H₀ p₁ = p₂

Alternative Hypothesis Hₐ p₁ ≠ p₂

The alternative hypothesis indicates that the test is a two-tail test.

We will use the approximation to normal distribution of the binomial distribution according to the sizes of both samples.

Testin at CI = 95 % significance level is α = 5 % α = 0,05 and

α/ 2 = 0,025 z (c) for that α is from z-table:

z(c) = 1,96

To calculate z(s)

z(s) = ( p₁ - p₂ ) / EED

EED = √(p₁*q₁)n₁ + (p₂*q₂)/n₂

EED = √( 0,36*0.64)/500 + (0,25*0,75)/600

EED = √0,00046 + 0,0003125

EED = 0,028

( p₁ - p₂ ) = 0,36 - 0,25 = 0,11

Then

z(s) = 0,11 / 0,028

z(s) = 3,93

Comparing z(s) and z (c) z(s) > z(c)

z(s) is in the rejection region for H₀ ; we reject H₀. We can´t support the idea of equals means

Q2 CI 95 % = ( p₁ - p₂ ) ± z(c) * EED

CI 95% = ( 0,11 ± 1,96 * 0,028 )

CI 95% = ( 0,11 ± 0,054 )

CI 95 % = ( 0,056 ; 0,164 )

8 0

2 years ago

What is x solve the equation a(x + b)-C=d

Nadya [2.5K]

Answer:

x = d/ a + c / a - b

Step-by-step explanation:

a( x + b ) - c = d

add c on both sides

a( x + b) = d + c

ax + ab = d + c

subtract ab from both sides

ax = d + c - ab divide both sides by a

ax / a = d/ a + c/ a - ab / a

x = d/ a + c / a - b

6 0

3 years ago