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LUCKY_DIMON [66]
3 years ago
9

One third of a number and 3,increased by 1 is 24

Mathematics
1 answer:
tangare [24]3 years ago
5 0

Answer:

3 1/3x + 1 = 24

3 1/3x =23

x= 6.9

Step-by-step explanation:

3 is added to 1/3 and a number always means x or another letter, and then you put them all together you can simply solve the equation as shown above.

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There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp
Mariana [72]

Answer:

  1. <em> 15</em>
  2. <em> 42,250</em>

Step-by-step explanation:

The given function is,

P=40000+300x-10x^2

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at \left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)

The value of the function will be maximum at,

x=-\dfrac{b}{2a}

Putting the values,

x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

P=40000+300(15)-10(15)^2=42,250

4 0
3 years ago
2. An empty ice cream cone has a height of 3.02 inches and a radius
ololo11 [35]

Answer:

Approximate volume of ice cream = 3.03 inches

Step-by-step explanation:

Given - An empty ice cream cone has a height of 3.02 inches and a radius

of 0.98 inches.

To find - What is the approximate volume of ice cream it will  hold within the cone  ?

Proof -

We know that,

Volume of the cone = \frac{1}{3}\pi r^{2}h

where

r is the radius of the cone

h is the height of the cone

Here,

Given that,

r = 0.98 inches

h = 3.02 inches

So,

Volume = \frac{1}{3}\pi r^{2}h

             = \frac{1}{3}(3.14) (0.98)^{2}(3.02)         ( Consider the value of \pi = 3.14)

             = 3.0373

∴ we get

Approximate volume of ice cream = 3.03 inches

So,

The correct option is - G. 3 in 3

8 0
3 years ago
Rsm question please explain<br> The question is in the picture
strojnjashka [21]

A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.

Now In ΔAKE and ΔCKP,

∠A ≅ ∠C {Proved above}

∠AKE ≅ ∠CKP {Given}

AK ≅ KC {Given }

Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.

Hence, ΔAKE and ΔCKP are congruent.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

7 0
2 years ago
Use the Distributive Property to multiply. 5(b + 8) A. 5b + 40 B. 5b + 8 C. 5b + 13 D. 8b + 40
lyudmila [28]
Answer is A multiply 5xb and 5x8
7 0
3 years ago
Read 2 more answers
Manny finds a box of 350 postcards.He selects a random sample of 75 postcards and finds that 27 already have stamp on them. Pred
Whitepunk [10]

Answer:

126

Step-by-step explanatidivide 350 by 75 then multiply the answer by 27 and you get the answer that method works with most questions like this please give brainliest

5 0
4 years ago
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