All categories

3 years ago

Zak has 3/5 pack of pencils. Of these, 2/7 are blue. How many blue pencils does Zak have?

Mathematics

2 answers:

Basile [38]3 years ago

7 0

Answer:

11/35

Step-by-step explanation:

First, you would have to make a common denominator. To do this, multiply these 2 denominator, 5 and 7. You should get 35. Then, you would have to make the numerator equal to the denominator. In this case, multiply 3 to 7 and 2 to 5. Now you have 21/35 and 10/35. Now subtract 21 from 10, and simplify if needed. I hope this helps!

Verizon [17]3 years ago

6 0

11/35 because u need to put common denominators for both fractions.
2/7 = 10/35 and 3/5 = 21/35
Then subtract
21/35 - 10/35 = 11/35

You might be interested in

4. Find area of irregular shape 5. Find area of BLUE portion of shape

lisov135 [29]

Answer:

4. Option 3: 65.1 cm^2

5. Option 3: 3.4 inches^2

Step-by-step explanation:

Question 4 :

We can see that there is a rectangle and a half circle in the picture.

So we will find the area of both separately

For the area of rectangle

Area=length*width

=8*5

=40 cm^2

We know that the line which is representing the diameter has length 8 cm

To find the radius

r=d/2

=8/2

=4 cm

As we cannot find the area of half circle, we will find the area of full circle and will divide it in half.

So,

area= πr^2

=3.14*(4)

=3.14*16

=50.24 cm^2

Area of half circle=(Area of full circle)/2

=50.24/2

=25.12 cm^2

So the area of shape will be

Area of rectangle+area of half circle

=40 cm^2+25.12 cm^2

=65.12 cm^2

Rounding off to nearest 10 will give 65.1 cm^2

So, option 3 is the correct answer ..

Question 5 :

To find the area of shaded region we have to find the area of circle and area of square in which it is inscribed

So,

area of circle= πr^2

=3.14*(2)^2

=3.14*4

=12.56 inches^2

And to find the area of square we need one of its side, we can clearly see that the diameter of circle will be equal to the side of square

So,

Side of square=s=r*2

=2*2

=4 inches

Area of square=s^2

=4^2

=16 inches^2

To find the area of shaded region we have to subtract the area of circle from the area of square

So,

Area of Shaded Region=Area of Square-Area of Circle

=16-12.56

=3.44 inches^2

Rounding off to the nearest 10 will give 3.4 inches^2 ..

So, option 3 is the correct answer ..

7 0

3 years ago

Answer both of the questions please :< no links!!!

SIZIF [17.4K]

Answer:

First one: 37.5

Second one: 108

Step-by-step explanation:

For the first one:

the figure shown is a triangle

The area of a triangle can be calculated using this formula

$A=\frac{bh}{2}$ where b = base length and h = height

The triangle shown has a height of 7.5 and a base length of 10

Using this information we plug in the values into the formula.

$A=\frac{7.5*10}{2} \\7.5*10=75\\\frac{75}{2} =37.5\\$

Hence the area of the figure is 37.5 square units

For the second one.

The figure shown is a parallelogram with a height of 9 and a base length of 12

The area of a parallelogram can simply be calculated by multiplying the base length by the height

So area = 9 * 12

9 * 12 = 108

Hence the area of the figure is 108 square units

3 0

3 years ago

Read 2 more answers

a political candidate hears that 65% of the voters are for him in the polls, up 40% since the last poll what percentage of voter

Effectus [21]

Add Midterm Elections as an interest to stay up to date on the latest Midterm ... Party ID: Democrats account for 38 percent of voters in exit poll results so far, ... The previous highs in midterm elections were 13 percent for blacks, in 2014; and 8 ... Republican House candidates in preliminary exit poll results.

6 0

3 years ago

How can I solve this?

SVETLANKA909090 [29]

Answer:

y is 70° and x is 40 °

Step-by-step explanation:

the triangle has two equal sides as shown on the diagram...so the next angle to 110° which is 70° is equal to y....then by calculation y + x should give us 110° so if y is 70 then x is 40.

6 0

3 years ago

Read 2 more answers

Find the volume of this cylinder. Give your answer to 1 decimal point

galina1969 [7]

Answer:

1330.5 cm³

Step-by-step explanation:

The volume of a cylinder is: V = πr²h

Substitute the values for those variables.

V = π(5.5)²(14)

V = π(30.25)(14)

V = 1330.5

4 0

3 years ago

Read 2 more answers