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3 years ago

Answer both these questions and ill give the best answer brainliest

Mathematics

1 answer:

likoan [24]3 years ago

3 0

Answer:

Page 1:

A. exactly one solution

B. infinite many solutions

C. no solution

Page 2:

x = 3

Step-by-step explanation:

Page 1:

A. 3(x - 3) = 10x + 2

3x - 9 = 10x + 2

3x - 9 - 3x = -9

10x + 2 - 2 = 10x

-9 + 2 = -7

10x + 3x = 13x

-7 = 13x

13x / 13 = x

-7 / 13 = -7/13

B. -9x + 3 = -3(3x - 1)

-9x + 3 = -9x + 3

no matter what you'll end up with this

C. 2(3x - 1) = 6x - 1

6x - 2 = 6x - 1

there's no way to solve it :/

Page 2:

2/3x - 3 = 5

2/3x - 3 + 3 = 2/3x

5 - 3 = 2

2/3x = 2

2/3x / 2/3 = x

2 / 2/3 = 3

x = 3

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Please answer this!!! No links !!!

stealth61 [152]

My work for your question

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3 years ago

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h

Nikitich [7]

Answer: 5 inches

Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = $a^2=6^2=36\ inches^2$

we know that volume of square right pyramid= $\frac{1}{3}\times\ a^2h$

Therefore, volume of square right pyramid made by all of clay= $\frac{1}{3}\times\ a^2h$ =48 cubic inches

$\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}$

Now, slant height $l=\sqrt{(\frac{a}{2})^2+h^2}$

$\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5$

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0

3 years ago

Read 2 more answers

Find the missing side of the triangle

Ivanshal [37]

Answer:

25 in

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg
b is another leg
c is the hypotenuse

Step-by-step explanation:

Step 1: Identify

Leg a = 24

Leg b = 7 in

Leg c = x

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]: 24² + 7² = x²
Evaluate exponents: 576 + 49 = x²
Add: 625 = x²
[Equality Property] Square root both sides: 25 = x
Rewrite/Rearrange: x = 25

8 0

3 years ago

What is the value of x? Enter your answer in the box.

elixir [45]

X = 28, hope this helps

5 0

3 years ago

g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G

patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

$\mathbf{P(positive) = P(positive \ | \ DIPG) \times P(DIPG) + P(positive \ | \ not \DIPG)\times P(not \ DIPG)}$ $= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})$

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

$P(not \ DIPG \ | \ positive) = \dfrac{ P(positive \ | \ not DIPG)\timesP(not \ DIPG)} { P(positive)}$

$=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}$

$=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}$

= 0.9586

8 0

3 years ago