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3 years ago

10

Write an expression for the following situation and solve it. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then g

ave 4 to his students.

1 answer:

Nitella [24]3 years ago

4 0

Hi!
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.

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Mr. Richard owns an orchard that has a rectagular fence . The orchard is 36 yards long and 18 yards wide . if he walks across th

Sergio [31]

Answer:

40.2 Yards

Step-by-step explanation:

To find the diagonal length of the orchard, we need to use the Pythagorean Theorem. The formula of the Pythagorean Theorem is:

c²= a² + b²

a = 36 Yards

b = 18 Yards

Now let's plug in our values to the formula.

c² = a² + b²

c² = 36² + 18²

c² = 1296 + 324

c² = 1620

Now to find the value of c we need to get the square root of both sides.

$\sqrt{c^{2}}=\sqrt{1620}$

c = 40.2

So the diagonal length of Mr. Richard's orchard is 40.2 Yards.

7 0

4 years ago

The probability of a football team winning a game is three fifths. If they play 45 games in a season, how many games would you e

Charra [1.4K]

Answer:

27 games

Step-by-step explanation:

The probability of them winning is 3 out of 5 games.

First, multiply 45 by $\frac{3}{5}$

$\frac{45}{1} *\frac{3}{5}$

$\frac{135}{5}$

27 games.

<u />

You could also just multiply 45 by 3 then divide by 5. Mostly the same thing

I hope this helps!

8 0

3 years ago

PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

<em>(h, k)</em><em> - vertex</em>

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of <em>a</em> using $k+\dfrac{1}{4a}$

<em>k = -5</em>

$-5+\dfrac{1}{4a}=-4$ <em>add 5 to both sides</em>

$\dfrac{1}{4a}=1$ <em>multiply both sides by 4</em>

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

<em>use the distributive property: a(b+c)=ab+ac</em>

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

3 0

4 years ago

Harpreet, Sukhpreet and Komalpreet are three sisters. Sukhpreet is x years old. Harpreet is 3 years older than Sukhpreet. Komalp

Ira Lisetskai [31]

Answer:

12

Step-by-step explanation:

Givens

Harpreet = x + 3

Sukhpreet = x

Komalpreet = 2*(x + 3)

Average Age = 15

Equation

[(x + 3) + x + 2*(x + 3) ] / 3 = 15 Multiply both sides by 3

Solution

3 [(x + 3) + x + 2*(x + 3) ] / 3 = 15 * 3 Combine

[(x + 3) + x + 2*(x + 3) ] = 45 Remove the brackets

x + 3 + x + 2x + 6 = 45 Combine like terms

4x + 9 = 45 Subtract 9 from both sides

4x + 9 - 9 = 45 - 9 Combine

4x = 36 Divide by 4

4x/4 = 36/4

x = 9

Answer

Harpreet is x+ 3 = 9 + 3 = 12

3 0

2 years ago

hey these are my grades and this weekend is the end of the school year I just need advice on getting my grades up

scZoUnD [109]

Answer:

i dont know much just do ur work correctly

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers