answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Licemer1 [7]
2 years ago
6

Randy collected 30 signatures from fifth grade students at his school. He noticed that 3/5 of the signatures were done in pencil

. How many of the signatures were done in pencil?
1 point
A. 3 signatures
6 signatures
12 signatures
18 signatures
Mathematics
2 answers:
kodGreya [7K]2 years ago
6 0

Answer:

Step-by-step explanation

18 signatures is the answer because 3/5 of 30 is 18.

Final Answer= 18 signatures

inna [77]2 years ago
3 0

Answer:

18 signatures

Step-by-step explanation:

Take the total number of signatures and multiply by the fraction that were done in pencil to determine the number done in pencil

30 * 3/5

90/5

18

You might be interested in
A piece of paper is to display ~128~ 128 space, 128, space square inches of text. If there are to be one-inch margins on both si
Grace [21]

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

Area = 128

Let the dimension of the paper be x and y;

Such that:

Length = x

Width = y

So:

Area = x * y

Substitute 128 for Area

128 = x * y

Make x the subject

x = \frac{128}{y}

When 1 inch margin is at top and bottom

The length becomes:

Length = x + 1 + 1

Length = x + 2

When 2 inch margin is at both sides

The width becomes:

Width = y + 2 + 2

Width = y + 4

The New Area (A) is then calculated as:

A = (x + 2) * (y + 4)

Substitute \frac{128}{y} for x

A = (\frac{128}{y} + 2) * (y + 4)

Open Brackets

A = 128 + \frac{512}{y} + 2y + 8

Collect Like Terms

A = \frac{512}{y} + 2y + 8+128

A = \frac{512}{y} + 2y + 136

A= 512y^{-1} + 2y + 136

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

A' = -512y^{-2} + 2

Set

A' = 0

This gives:

0 = -512y^{-2} + 2

Collect Like Terms

512y^{-2} = 2

Multiply through by y^2

y^2 * 512y^{-2} = 2 * y^2

512 = 2y^2

Divide through by 2

256=y^2

Take square roots of both sides

\sqrt{256=y^2

16=y

y = 16

Recall that:

x = \frac{128}{y}

x = \frac{128}{16}

x = 8

Recall that the new dimensions are:

Length = x + 2

Width = y + 4

So:

Length = 8 + 2

Length = 10

Width = 16 + 4

Width = 20

To double-check;

Differentiate A'

A' = -512y^{-2} + 2

A" = -2 * -512y^{-3}

A" = 1024y^{-3}

A" = \frac{1024}{y^3}

The above value is:

A" = \frac{1024}{y^3} > 0

This means that the calculated values are at minimum.

<em>Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches</em>

3 0
2 years ago
The diagram shows several planes, lines, and points. Vertical plane P intersects horizontal plane R at line f. Vertical plane T
Rudiy27

Please mark brainliest

Answer:

Line H has points on planes R, T, P

Step-by-step explanation:

I just took the test on Edgenuity 2020. Good luck

5 0
2 years ago
On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis. What are the coordinates of the refl
Alex777 [14]

Answer:

Option D. (4, −1) and (−2, 6)

Step-by-step explanation:

we know that

The rule of the reflection of a point across the y-axis is equal to

(x,y) -----> (-x,y)

so

Applying the rule of the reflection

(−4, −1) -----> (4, −1)

(2, 6)----- (-2, 6)

8 0
2 years ago
Read 2 more answers
A bird sanctuary needs at least 500 lbs of corn per month. The storage shed
Phantasy [73]

Answer:

x≥(500-87)/40

Step-by-step explanation:

You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.

8 0
2 years ago
Factories 24x^2-41x+12
andriy [413]

Answer:

(3x - 4)(8x - 3)

Step-by-step explanation:

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 24 × 12 and sum = - 41

The required factors are - 32 and - 9

Use these factors to split the x- term

24x² - 32x - 9x + 12 ( factor the first/second and third/fourth terms )

= 8x(3x - 4) - 3(3x - 4) ← factor out (3x - 4) from each term

= (3x - 4)(8x - 3) ← in factored form

5 0
2 years ago
Other questions:
  • A fish is swimming 10.2 feet below the surface of the water. It then descends another 12.85 feet. What subtraction expression ca
    13·2 answers
  • John always wears a shirt, pants, socks, and shoes. He owns 121212 pairs of socks, 333 pairs of shoes, 555 pairs of pants, and 5
    8·1 answer
  • A gardener wants to plant 122500 trees in his field in such a way that the number of trees in a row is equal to the number of ro
    15·1 answer
  • Qing attached a dog ramp to her bed, which allows her dog to easily climb onto the mattress. The ramp is 48 inches long. The bas
    12·1 answer
  • Ms.graves gave her class 12 minutes to read. Carrie read 5 1/2 pages in that time. At what rate, in oages per hour, did Carrie r
    6·1 answer
  • The level of a lake was 8 inches below normal. It decreased 1
    13·1 answer
  • I round to 900 I have twice as many hundreds as ones and all my digits are different but their sums are 18 can someone answer th
    6·1 answer
  • There are 15 people in a party, including Hannah and Sarah. We divide the 15 people into 3 groups, where each group has 5 people
    6·2 answers
  • Sam is thinking of retiring from his job after many years of faithful service. During the last 35 years at his job, his annual s
    5·2 answers
  • A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness o
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!