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3 years ago

Gina has 20 groups of 10 pencils. 137 are sharpened. How many dull pencils does Gina have?

Mathematics

2 answers:

lana [24]3 years ago

6 0

Gina have 63 dull pencils

yarga [219]3 years ago

5 0

If there are 20 groups of 10, then there are 200 pencils. Subtract 200 and 137 to get the number of dull pencils.

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Students who attend Washington Middle School are either in seventh or eighth grade.

IgorLugansk [536]

Answer:

There are 1240 students at Washington middle school.

Step-by-step explanation:

Percentages and Portions

We can find portions of a whole by correctly managing the percentages of each part. We know 25% of all students at Washington middle school were on the honor roll. From that portion, 60% of the students are seventh graders. That means 40% of the 25% are eight graders, i.e. 40*25%=10% were from eight grade.

We have 10% of all students are 124, thus the number of students are 124/10%=1240

There are 1240 students at Washington middle school.

Let's test the answer. 25% of 1240 students are on the honor roll, which is 310 students. 40% of 310 students are from 8th grade, 40%*310 = 124 as stated in the problem

3 0

3 years ago

Need help with inscribed angles If M

Bogdan [553]

Given:

In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and $m\angle BCD=30^\circ$ .

To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

$\angle OBA\cong \angle BCD$ [Alternate interior angles]

$m\angle OBA=m\angle BCD$

$m\angle OBA=30^\circ$

In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

$\angle OAB\cong \angle OBA$ [Base angles of an isosceles triangle]

$m\angle OAB=m\angle OBA$

$m\angle OAB=30^\circ$

In triangle AOB,

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

$60^\circ+m\angle AOB=180^\circ$

$m\angle AOB=180^\circ-60^\circ$

$m\angle AOB=120^\circ$

Therefore, the measure of angle AOB is 120 degrees.

6 0

3 years ago

Consider the reduction of the complex figure with a scale factor of 1

Aleksandr [31]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

At the candy store there are 420 gumdrops and 280 chocolate bars, for a total of 700 candies all together. What is the ratio of

Mekhanik [1.2K]

Answer:

5 : 2

Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers $p$ and $q$ .

Then to find the ratio $p:q$ , we need to divide p by q and represent it in the simplest form $\frac{a}{b}$ such that a and b can not be divided further.