Jasmine made a new line plot for the lengths of another set of strings that the art teacher gave her for a new project. Two line plots are given. 1st line plot named as ALTDCString Lengths for Craft ProjectALTDC shows a number line from 6 to 14. The number line is divided into 4 equal parts. 1 cross on 6, 2 crosses on 8, 4 crosses on 12 and 1 cross on 14 is given. 2nd line plot named as ALTDCString Lengths for New ProjectALTDC shows a number line from 6 to 14. The number line is divided into 4 equal parts. 2 crosses on 8, 3 crosses on 10 and 3 crosses on 12 is given. Which of the following statements are true about the string lengths for the first craft project and the new project? Select all that apply. A. There are half as many 12-inch strings for the new project as for the craft project. B. There are twice as many 8-inch strings for the craft project as for the new project. C. Jasmine has the same number of strings for the new project as for the craft project. D. The total length of the strings for the craft project is greater than the total length for the new project. E. The length of the longest string is the same for both projects.

Answer:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal

Step-by-step explanation:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

Answer:

308 (Third Option)

Step-by-step explanation:

Have a Great Day! :D

9514 1404 393

Answer:

  yes, no, no

Step-by-step explanation:

The triangle will be a right triangle if the sum of the squares of the two short sides, less the square of the long side, is zero. (This is what the Pythagorean theorem tells you.) The angle where the radius meets the circle must be a right angle if the line is to be a tangent.

__

a) 3^2 +4^2 -5^2 = 9 + 16 -25 = 0 . . . . AB is a tangent

__

b) 9^2 +15^2 -18^2 = 81 +225 -324 = -18 . . . . AB is not a tangent

__

c) 10^2 +48^2 -52^2 = 100 +2304 -2704 = -300 . . . . AB is not a tangent

Answer:

It's Tan.

Multiple Thumbs-up ^_^

Answer:

2.5 cm

Step-by-step explanation:

6*5=30

30/2=15

That's the area of the triangle

The area of the rectangle must also equal 15

6*w=15

Divide by both sides by 6

This gives you: 2.5

The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm

Used the formula of area of the rectangle and area of the triangle which states that,

Area of rectangle = Length × Width

And, Area of triangle = 1/2 × Base × Height

Given that,

The triangle and the rectangle have the same area.

Here, in a triangle;

Base = 5 cm

Height = 6 cm

So, the Area of the triangle is,

[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]

[tex]A = 15 \text{ square cm}[/tex]

In a rectangle;

Length = 6 cm

Width = w cm

So, the area of a rectangle,

[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]

Since the triangle and the rectangle have the same area.

So, equate both the area of the triangle and rectangle,

[tex]6 \times w = 15[/tex]

Divide both sides by 6,

[tex]w = \dfrac{15}{6}[/tex]

[tex]w = 2.5 \text{ cm}[/tex]

So, the value of w is 2.5 cm

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Step-by-step explanation:

X=63 and Y=27 is the correct answer.

Answer:

Number 7: D. 378 ft

And I'm Not Sure About The Others

Step-by-step explanation:

Answer:

question 8 : 157 m²

Step-by-step explanation:

cone volume:. π×r²×h/3

3,14×25×6/3 = 157 m²

Answer:

Radius, r = 2.80 cm

Step-by-step explanation:

Given the following data;

Volume of cylinder = 207 cm³

Height = 8.4 cm

Pie, π = 3.14

To find the radius of the water bottle;

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

V is the volume of a cylinder.

r represents the radius of the cylinder.

h represents the height of the cylinder.

Substituting into the formula, we have;

207 = 3.14 * r² * 8.4

207 = 26.376r²

r² = 207/26.376

r² = 7.85

r = √7.85

Radius, r = 2.80 cm

Answer:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Step-by-step explanation:

Geometric sequence:

In a geometric sequence, the quotient between consecutive terms is the same, and this quotient is given by q.

The explicit rule of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

1/4, 1/2, 1, 2, 4

This means that [tex]a_1 = \frac{1}{4}[/tex], and:

[tex]q = \frac{4}{2} = \frac{2}{1} = \frac{1}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{4}} = 2[/tex]

So the explicit rule is:

[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]

Answer:

27.7"

Step-by-step explanation:

use the pythagorean theorem

a² + b² = c²

a² + 16² = 32²

a² + 256 = 1,024

subtract 256 from both sides

a² = 768

Take the square root of both sides

a = 27.7128129211

a = 27.7"

Answer:

10

Step-by-step explanation:

Answer:

10 :)

Step-by-step explanation:

12 divided by 1 1/5 is the same as:

It is always easier to convert the fraction into a decimal:

like we converted 1/5 into .20.  

[tex]\frac{12}{1.2}[/tex]=10

A question you can ask yourself is:

How many times can you multiply 1.2 to get 12?

1.2*10=12.

Hope it helps! :))

Answer:

100000

Step-by-step explanation:

First multiplt the given njmber with 2000 and subrat total number givem

Answer: c

Step-by-step explanation:

Answer:

3, 3, and y=3

Step-by-step explanation:

got it right on edge

A ratio expresses the number of times one number contains another. The ratio of the given polynomial is equal to 3.

A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Given the polynomial function, f(x)=(6x³ - x)/(2x³ - x). The leading coefficient is the constant of the term that has the highest power in a given polynomial. Therefore, the leading coefficient of the numerator and the denominator are 6 and 2, respectively. Thus, the ratio of the constant is,

Ratio = 6/2 = 3

Hence, the ratio of the given polynomial is equal to 3.

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Answer:

y = |x + 2| - 5

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped

Answer:

I think iit's no consistent

Step-by-step explanation:

no consistent because there is no multiplying happening and no consistent adding happening

Answer:

A. -5< x≤10

Step-by-step explanation:

7x>-35 and -5x ≥ -50

7x>-35

x>-5

-5x ≥ -50

x≤ 10

so, the result is:

-5< x ≤10

Answer:

x=0

Step-by-step explanation:

3x + 10 = 10 + 2x

Subtract 2x from each side

3x-2x + 10 = 10 + 2x-2x

x+10 = 10

Subtract 10 from each side

x+10-10 = 10-10

x=0

Answer:

x=0

Step-by-step explanation:

3x + 10 = 10 + 2x

Subtract 2x from each side

3x-2x + 10 = 10 + 2x-2x

x+10 = 10

Subtract 10 from each side

x+10-10 = 10-10

x=0

Answer:

He showed that f(n) ÷ f(n - 1) was a constant ratio.

Given that Jake has proved that a function f(x) is a geometric sequence.

GEOMETRIC SEQUENCE:  A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.

So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.

That is, if 'c' is the constant that was used in the proof, then we must have

This implies that

Therefore, he showed that  f(n) ÷ f(n - 1) was a constant ratio.

Answer:

A

Step-by-step explanation:

the ' is always the image, so we see how all the letters that have ' in it are bigger than the ones that dont have ' in it.

Answer:

Y = 0.09X1 - 167.40

Step-by-step explanation:

Year (X) : 2000, 2004, 2006, 2007, 20008

Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77

Using technology, the regression model obtained is :

Y = 0.09X1 - 167.40

With a slope of 0.09 and intercept of - 167.40

Answer:

If the water continues to drain at this rate, it would take 11 total minutes for Paula to drain her fish tank.

Step-by-step explanation:

In 6 minutes, she is able to drain 18 cms of her fish tank, so in 1 minute, she would be able to drain 3 cms of her fish tank. 15 divided by 3 is 5, so it would take 5 minutes to drain the rest of her fish tank. But it is asking for the total amount so 5 plus 6 is 11 total minutes.

Answer:

2=18a

Step-by-step explanation:

==============================================================

Explanation:

f(x) is equal to both x^2-2x+3 and also -6x at the same time. Set those two expressions equal to one another and solve for x.

x^2-2x+3 = -6x

x^2-2x+3+6x = 0

x^2+4x+3 = 0

(x+3)(x+1) = 0 .... see note below

x+3 = 0 or x+1 = 0

x = -3 or x = -1

Note: 3 and 1 multiply to 3, and also add to 4.

---------------------

Once we get the x values, we plug them into either equation to find the y value.

So if x = -3, then

f(x) = x^2-2x+3

f(-3) = (-3)^2-2(-3)+3

f(-3) = 9 + 6 + 3

f(-3) = 18

or we could say

f(x) = -6x

f(-3) = -6(-3)

f(-3) = 18

Both versions produce the same output when x = -3.

The second version is easier to work with.

Since x = -3 leads to y = 18, we know that (-3, 18) is one of the solutions. That explains where your teacher got (-3, 18) from.

-----------

We'll use this idea for x = -1 now

f(x) = x^2-2x+3

f(-1) = (-1)^2-2(-1)+3

f(-1) = 1 + 2 + 3

f(-1) = 6

or we could say

f(x) = -6x

f(-1) = -6(-1)

f(-1) = 6

Like before, both versions of f(x) produce the same output when the input is x = -1.

The other solution is (-1, 6)

Answer:

D. 125cm

Step-by-step explanation:

Round each number for an estimate so you get 5 x 5 x 5 = 125