Write 3 equivalent ratios for 4/3?

Ann had 48 fliers to post around town. Last week, she posted 2/3 of them. This week, she posted 3/8 of the remaining fliers. How

IrinaK [193]

Answer:

Ann had 48 fliers to post around town

Last week, she posted 2/3 of them

$48 \times \frac{2}{3} = 32 \\$

Therefore, she should posted 32 fliers

This week, she posted 3/8 of the remaining fliers

$48 \times \frac{3}{8} = 18 \\$

Therefore, she should posted 18 fliers

Total fliers she should post are (32+18)=50 fliers

She still did not post (50-48)= 2 fliers

<h3>2 fliers is the right answer.</h3>

4 0

3 years ago

8. Let ABCD be a parallelogram with A on top left, B on top right, D on bottom left and C on the bottom right. Prove that opposi

AVprozaik [17]

Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

<ABD = <BDC (alternate angle property)

<BAC = <ACD (alternate angle property)

Also, diagonals;

/AC/ = /BD/ (reflexive property)

Then;

ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

/AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

/BC/ ≅ /AD/ (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.

7 0

3 years ago

PLEASE TELL ME!!!!!! What is the solution to the equation 4/5n-1/5=2/5n

Mashutka [201]

Answer:

4/5n-1/5=2/5n

One solution was found :

n = 1/2 = 0.500

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4/5*n-1/5-(2/5*n)=0

Step by step solution :

Step 1 :

2

Simplify —

5

Equation at the end of step 1 :

4 1 2

((—•n)-—)-(—•n) = 0

5 5 5

Step 2 :

1

Simplify —

5

Equation at the end of step 2 :

4 1 2n

((— • n) - —) - —— = 0

5 5 5

Step 3 :

4

Simplify —

5

Equation at the end of step 3 :

4 1 2n

((— • n) - —) - —— = 0

5 5 5

Step 4 :

Adding fractions which have a common denominator :

4.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4n - (1) 4n - 1

———————— = ——————

5 5

Equation at the end of step 4 :

(4n - 1) 2n

———————— - —— = 0

5 5

Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4n-1) - (2n) 2n - 1

————————————— = ——————

5 5

Equation at the end of step 5 :

2n - 1

—————— = 0

5

Step 6 :

When a fraction equals zero :

6.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

2n-1

———— • 5 = 0 • 5

5

Now, on the left hand side, the 5 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

2n-1 = 0

Solving a Single Variable Equation :

6.2 Solve : 2n-1 = 0

Add 1 to both sides of the equation :

2n = 1

Divide both sides of the equation by 2:

n = 1/2 = 0.500

One solution was found :

n = 1/2 = 0.500

4 0

4 years ago

What is the H.C.F of 48,30 and 18?

melomori [17]

Answer:

G.C.F is 6

Step-by-step explanation:

Hope this helps.

6 0

3 years ago

In order to estimate the average time spent on the computer terminals per student at a local university, data were collected for

Setler [38]

Answer:

7) d)

standard error of the mean of one sample of 'n' observation = 0.20

8) a)

The margin of Error = 0.392

9) d

The 95% of confidence intervals are (8.61 , 9.39)

Step-by-step explanation:

7)

solution:-

The Given data sample size 'n' = 81

Given Population standard deviation 'σ' = 1.8 hours

The standard error of the mean of one sample of 'n' observation is

Standard error (SE)

= $\frac{S.D}{\sqrt{n} }$

= σ / √n

= $\frac{1.8}{\sqrt{81} } =0.2$

standard error of the mean of one sample of 'n' observation = 0.20

8)

Solution:-

The Given data sample size 'n' = 81

Given Population standard deviation 'σ' = 1.8 hours

Given the probability is 0.95

The z- score = 1.96 at 0.05 level of significance.

The margin of Error = $\frac{z_{0.95} S.D}{\sqrt{n} }$

= $\frac{1.96 (S.D)}{\sqrt{n} }$

= $\frac{1.96 (1.8)}{\sqrt{81} }$

= 0.392

The margin of Error = 0.392

9)

Solution:-

The 95% of confidence intervals are

$(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96\frac{S.D}{\sqrt{n} } )$

$(9 - 1.96\frac{1.8}{\sqrt{81} } , 9+ 1.96\frac{1.8}{\sqrt{81} } )$

(9 - 0.392 , (9 + 0.392)

(8.609 , 9.392)

The 95% of confidence intervals are (8.61 , 9.39)

4 0

3 years ago