venessa is solving a video game puzzle to open a secret door she must collect between 400 grams (g) and 500 grams (g) of gems she can only collect one type of gem

type of gem mass
Ruby 128.3
Emerald 195.2
Diamond 147.6

Which of the gems should Vanessa try to collect?
A. rubies
B. emeralds
C. diamonds
D. none of the gems will work for opening the secret door​

Answer:

p = 12

Step-by-step explanation:

13 + p = 25 ( subtract 13 from both sides )

p = 12

Answer:

the value of P is 12

Step-by-step explanation:

if 13+P=25 then P must be 12

subtract 13 from both sides

you're left with P=12

Answer:

6h - 39 or 3(2h - 13)

Step-by-step explanation:

Distribute the terms in the parentheses.

Combine like terms

8 (h - 4) - h - (h + 7)

8h - 32 - h - h - 7

6h - 39

3 (2h - 13)

Answer: No

Step-by-step explanation:

Answer:

8 is 80% of 10

155 is 25% of 465

Step-by-step explanation:

the first one is easy, and the second one, 25% is 1/4, so if you multiply 155 by 4, you get 465

Answer:

8×3×2=48

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

48 cubic meters

Step-by-step explanation:

Answer:

New area is 1/9th the original area

Step-by-step explanation:

Original area   =   L x W

now reduce the side lengths

   1/3 L   x    1/3 W

   1/3 * 1/3   * L x W

       1/9   L x W       <===== the new area is 1/9th the original area

Answer:

[tex]\huge\boxed{\sf 2.998 \times 10^{10}}[/tex]

Step-by-step explanation:

Given number:

29,980,000,000

Rules:

The number will become:

2.998 × 10¹⁰

[tex]\rule[225]{225}{2}[/tex]

Answer:

B. 2.998 x 10¹⁰

Step-by-step explanation:

Given :

Steps in solving :

Solving :

Answer:

1600π cm^2.

Step-by-step explanation:

S. A. of a sphere = 4πr^2

= 4 π 20^2

=  1600π cm^2

Factor 2x from 6x².

2x (3x)+14x

Factor 2x from 14x.

2x (3x) + 2x (7)

Factor 2x from 2x (3x) + 2x (7).

2x(3x+7) ====> Answers

Answer:

(2x)(3x + 7)

Step-by-step explanation:

Hello!

We can factor this expression by taking out the GCF of both the terms.

The GCF is 2x, because it is the largest factor that is in common between 6x² and 14x

The factored expression is (2x)(3x + 7)

Hey there!

18 = -k + 3

-k + 3 = 18

-1k + 3 = 18

SUBTRACT 3 to BOTH SIDES

-1k + 3 - 3 = 18 - 3

SIMPLIFY IT!

-1k = 18 - 3

-1k = 15

DIVIDE -1 to BOTH SIDES

-1k/-1 = 15/-1

SIMPLIFY IT!
k = 15/-1

k = -15

Therefore, the answer is: k = -15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

$3087.35

Step-by-step explanation:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting given values into the equation and solving for A:

[tex]\begin{aligned}\sf A & =\sf P \left(1+\frac{r}{n}\right)^{nt}\\\\\implies \sf A & = \sf 1500\left(1+\frac{0.062}{1}\right)^{1 \times 12}\\\\& = \sf 1500(1.062)^{12}\\\\& = \sf \$ 3087.35 \: (nearest\:cent)\end{aligned}[/tex]

Answer:

The monthly payment will be $54.75

Step-by-step explanation:

Hope this helps!

Answer:

8 hours

Step-by-step explanation:

12/2= 6
He grades 6 exams per hour
48/6= 8
it would take 8 hours to grade 48 exams

Bonus:
it takes him 10 minutes to grade an exam. That doesnt matter for this question but it's good 2 know

Answer:

8 hours

Step-by-step explanation:

To solve this it seems you need to set up a proportion.

12/2=48/x

cross multiply the 2 and 48.

2•48=96.

divide by the remaining number to get x.

96/12=8.

Answer:

Julia can afford 5 stops including the initial fee

Step-by-step explanation:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

$21 - $5  ÷ $2.75 = 5 with remainder

Answer: x =5

Step-by-step explanation:

subtract 7 on both sides than divide by 2

Answer:

x = 5

Step-by-step explanation:

Given: 2x + 7 = 17

1. Subtract 7 from both sides

2x + 7 - 7 = 17 - 7

2x = 10

2. Divide both sides by 2

2x ÷ 2 = 10 ÷ 2

x = 5

Final answer: x = 5

Learn more about solving equations here:
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Answer:

[tex]\frac{\pi }{4}[/tex]

Step-by-step explanation:

Solving :

(2 cos(θ))² = 2

4 cos²θ = 2

cos²θ = 1/√2

cosθ = [tex]\frac{\pi }{4}[/tex]

Answer:

x = 31.

Step-by-step explanation:

93 = x + 62  (External Angle Theorem).

x = 93 - 62

= 31

Answer:

The answer would be C, Both I and II.

Step-by-step explanation:

You can find an attached file which shows the scenarios incase your confused.

Answer:

Rectangle

Trapezoid

Square

Triangle.

Step-by-step explanation:

Based on the calculations, the two lines have the same slope but different intercepts and as such are parallel.

In Geometry, two lines are considered to be parallel under the following conditions:

m₁ = m₂

Note: m is the slope.

For two perpendicular lines, we have:

m₁m₂ = -1.

From line k, we have this equation:

y = 1/3x - 2

From line m, we have this equation:

-2x + 6y = 18.

6y = 18 + 2x

y = 18/6 + 2/6x

y = 1/3x + 3.

Therefore, we can deduce that the two lines have the same slope (1/3) but different intercepts and as such are parallel.

Read more on slope here: brainly.com/question/3493733

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Answer:

maximum

Step-by-step explanation:

Concepts

The vertex of a graph represents the turning point in a parabola.

Example: The graph shown in your question first steadily increases, but then at the point (1,3), it begins to go down. The point (1,3) is called the vertex in this case because it symbolizes the turning point.

Application

We are asked to determine if the vertex of this graph is a maximum or minimum. If the vertex is maximum, it's the highest point on the graph. If it's the minimum, it's the lowest point on the graph. Using your stunning eyes, you can see that the vertex is the highest point on the graph, making the answer maximum.

Answer:

x= 96

Step-by-step explanation:

I know this is might not be the best reasoning, but if 56+40=96, then the other consecutive angle should be 96 degrees by the Consecutive Interior Angles theorem.

What we get to know by looking at picture :

[tex] \\ \\\\ [/tex]

To find :

[tex] \\ \\ \\ [/tex]

Given:

[tex] \\ \\ \\ [/tex]

Concept:

So as we can orange doesn't lies inside circle. And the wall of circle touches all four sides of circle. So first we have to find area of circle and then Area of square. And then we will subtract the ares. The result will be Area of orange part.

[tex] \\\\ \\ [/tex]

[tex] \\ \\\\ [/tex]

[tex] \red{ \textsf{ \textbf{Area of circle: }}}[/tex]

[tex] \\ [/tex]

To find area of circle we need radius of it i.e Length of OP.

As BC = AB

∴AB = 6.84

As O is the center of square ∴it's center of circle too

Therefore:

[tex] \\\\ [/tex]

Now Let's find area :

[tex] \\\\ [/tex]

[tex] \star \boxed{ \rm Area~of~circle = \pi {r}^{2} }[/tex]

here :

[tex] \\ [/tex]

[tex]: \implies\sf Area~of~circle = \pi {r}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times {3.42}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times {3.42}^{2} \\ \\ \\ : \implies\sf Area~of~circle = \dfrac{22}{7} \times11.7\\\\\\: \implies\sf Area~of~circle = \dfrac{257.4}{7} \\ \\ \\ : \implies \boxed{ \orange{\tt{ Area~of~circle = 36.6 \{approx \}}}} \bf \dag[/tex]

[tex] \\ \\ [/tex]

[tex] \red{ \textsf{ \textbf{Area of square: }}}[/tex]

[tex] \\\\ [/tex]

[tex] \star \boxed{ \rm Area~of~square = {side}^{2} }[/tex]

[tex] \\ \\ [/tex]

[tex]: \implies\sf Area~of~square = {side}^{2} \\ \\ \\ : \implies\sf Area~of~square = {6.84}^{2} \\ \\ \\ : \implies\sf Area~of~square = {6.84} \times 6.84 \\ \\ \\ : \implies \boxed{\tt{ \orange{Area~of~square = 46.8 \{aprox \}}}}\bf\dag[/tex]

[tex] \\ \\ [/tex]

[tex] \red{ \textsf{ \textbf{Area of orange \: part: }}}[/tex]

[tex] \\ [/tex]

[tex] \star\sf \boxed{ \rm Area_{(orange \: part)} = Area_{(square)} - Area_{(circle)}}[/tex]

[tex] \\ \\ [/tex]

[tex]: \implies\sf Area_{(orange \: part)} = 46.8 - 36.6 \\ \\ \\ : \implies \boxed{ \blue{\tt{Area_{(orange \: part)} = 10.2}}}\bf\dag[/tex]

Answer: I think it might be 10y

2

+39y+35

Step-by-step explanation: Apply the distributive property by multiplying each term of 2y+5 by each term of 5y+7. Then, Combine 14y and 25y to get 39y.

hope this helps!

♥ Chen was here

Answer:

10y^2 + 39y +35

Step-by-step explanation:

First distribute (2y+5)(5y+7)-

2y(5y + 7 )+ 5(5y + 7) This turns into:

10y^2 + 14y + 25y +35

Now combine the like terms (14y+25y)

You should get 10y^2 + 39y + 35 which is your final answer. :)

The length of the sides of the square are 8 centimetres and 12 centimetres respectively

area = l²

where

Therefore,

x² + y² = 208

perimeter = 4l

4x + 4y = 80 cm

x + y = 20

x = 20 - y

(20 - y)² + y² = 208

y² - 40y + 400 + y² = 208

2y² - 40y + 192

y² - 20y + 96

(y - 12)(y - 8)

Therefore, y  = 12 and y = 8

when y = 8

x + 8 = 20

x = 12

when y = 12

x + 12 = 20

x = 8

Therefore, the length of the sides of the square are 12 cm and 8 cm.

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Answer:

the first one

Step-by-step explanation:

because I know the answer

The quadratic function represented in the graph is f(x) = -5 (x - 1) (x + 5).

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given a graph of a quadratic function.

The graph is directed downwards. So the leading coefficient is negative.

The function touches the X axis at two points, x = -5 and x = 1.

So -5 and 1 are the zeroes of the function.

So the function can be factored as,

f(x) = (x + 5)(x - 1)

So the quadratic equation is,

f(x) = -5 (x - 1) (x + 5)

Hence the equation of the given quadratic equation is f(x) = -5 (x - 1) (x + 5).

Learn more about Quadratic Equations here :

https://brainly.com/question/12228546

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