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A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 4 : 3. Find the number of blue marbles in the bag

Answer:

1. 5

2. [tex]\sqrt{85}[/tex]

3. [tex]\sqrt{26}[/tex]

Step-by-step explanation:

1. just count the units: 5 units

2. Find the slope = rise/run = -7/6

you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)

use the pythagorean theorem to find the hypotenuse.

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]7^{2} + 6^{2} = c^{2}[/tex]

49 + 36 = [tex]c^{2}[/tex]

85 = [tex]c^{2}[/tex]

[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]

[tex]\sqrt{85} = c[/tex]

Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.

3. same process as 2

slope = -1/5

[tex]1^{2} + 5^{2} = c^{2}[/tex]

1 + 25 = [tex]c^{2}[/tex]

26 = [tex]c^{2}[/tex]

[tex]\sqrt{26} = c[/tex]

That is the farthest it can go, so that will be the answer.

Answer:

Step-by-step explanation:

incomplete question

Answer:

There are 659 blocks

Step-by-step explanation:

The number of blocks has 9 in the ones place.

The number in the hundreds place is one more that the number in the tens place.

Let the number in the tens place is x.

Number in the hundreds place = 1+x

These two numbers equal 11.

ATQ,

x+1+x = 11

2x + 1 = 11

2x = 10

x = 5

No in the tens place = 5

No. in the hundreds place = 1+5 = 6

Hebnce, the number is 659.

9514 1404 393

Answer:

  72 feet

Step-by-step explanation:

Triangle JKM is similar to triangle PQM, so we have ...

  JK/KM = PQ/QM

  JK/(60 ft) = (6 ft)/(5 ft)

  JK = (60 ft)(6/5)

  JK = 72 ft

The height of the cliff is 72 feet.

Answer:

70x+4^2+3

Step-by-step explanation:

Answer:

You first need to know what number 6 4/5 is, which is 6.8. To figure it out, you multiply 6 by 5 then add 4 and put the number you get on top of the fraction so it would be 34/5 = 6.8

6.9 is the answer

6.9 is bigger than 6.8 and smaller than 7

Answer:

B. (-2,-1), (3,4)

Step-by-step explanation:

Got it on edge

Answer:

3 1/5

Step-by-step explanation:

Okay, this is a standard division problem, so our equation is:

2 2/5 ÷ 3/4

but then we have to covert the mixed number to an improper fraction:

12/5 ÷ 3/4

do the cross thingy:

4/5 x 4/1 = 16/5 = 3 1/5

So Jason can cut 3 1/5 sections or 3 if you round

Answer:

2 block east from home

Step-by-step explanation:

Given an expression for how many blocks east Robert is from his home after finding his wallet as the sum 7+​(−​5),

Simplifying the given expression

7+(-5) = 7-5 (note that the product of a plus and minus sign will give a minus sign)

7-5 = 2

Hence Robert will be 2 block east from home

The percent of increase is 10% or 5. If you multiply 20 x 0.1, you get 2. Then, you add 20 and 2 together to result with $22. Therefore, the answer is 10% or a 10% increase.

Answer:

We conclude that:

Step-by-step explanation:

Given:

[tex]-\left(9x\right)^0[/tex]

To determine:

Explain how to solve the expression

Solving the expression

[tex]-\left(9x\right)^0[/tex]

Apply the exponent rule

[tex]a^0=1,\:\quad \:a\ne \:0[/tex]

so the expression becomes

[tex]-\left(9x\right)^0\:=\:-1[/tex]

Therefore, we conclude that:

Answer:

m=10

w=15

Step-by-step explanation:

m + w = 25

3m + 4w = 90

Let's do substitution, first by solving the first equation for m.

m = 25 - w

Substitute!

3(25 - w) + 4w = 90

75 - 3w + 4w = 90

w = 15

m = 25 - 15 = 10

Answer:

there are irdk

Step-by-step explanation:

Answer:

3y - x = 3

Step-by-step explanation:

The slope intercept form of the equation is expression is y = mx+c

m is the slope

c is the y inercept

From the graph

c = 1

Using the coordinates (-3, 0) and (0, 1)

m = 1-0/0-(-3)

m = 1/3

Get the required equation

y = 1/3x + 1

Multiply through by 3

3y = x + 3

3y - x = 3

Hence the required equation is 3y - x = 3

Answer:

Step-by-step explanation:

The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding

Corresponding angles sum to 180

Answer:

161.75

Step-by-step explanation:

45.28 divided by 7 = 6.47

6.47 per cande

6.47 times 25 = 161.75

Answer:

d=-12

Step-by-step explanation:

hope this helps!

Answer:

(1)  4

Step-by-step explanation:

Isolate x.

[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3

x - 2 = 2

x = 2 + 2

x = 4

Answer:

y=2

Step-by-step explanation:

horizontal lines are y= the y intercept

if you want the line to go through the point (-2,2) it would be y=2 because points are written as (x,y)

the line y=2 would cross through the y access at 2 and also cross through every other point that is (x,2)

Answer:

70 and 30

Step-by-step explanation:

The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is

dy/dx = 12x³ - 6x² - 7.

We have,

The power rule states that if we have a term of form a[tex]x^n[/tex], the derivative with respect to x is given by [tex]d/dx(ax^n) = nax^{n-1}.[/tex]

Applying the power rule, we differentiate each term as follows:

[tex]d/dx(3x^4) = 3 \times 4x^{4-1} = 12x^3\\d/dx(-2x^3) = -2 \times 3x^{3-1} = -6x^2\\d/dx(-7x) = -7 \times 1x^{1-1} = -7[/tex]

d/dx (5) = 0 (since 5 is a constant)

Combining these derivatives, we get:

dy/dx = 12x³ - 6x² - 7

Therefore,

The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is

dy/dx = 12x³ - 6x² - 7.

Learn more about derivatives here:

https://brainly.com/question/29020856

#SPJ4

Answer: cups of cake mix: 19/24 cups of water: 11/64

Step-by-step explanation:

Because it is not dividing by a fraction all you have to do is multiply its denominator by 8.

Answer:

B=4

x=0 or x=  4/7

c= -5

Step-by-step explanation:

Answer:

b = 4

x = 1.75

c =2+i√101 7 ,  2 − i √101 7

Step-by-step explanation:

Answer:

300 in^2+(whatever the tip is)

Step-by-step explanation:

Area of a rectangle=l*w

A=12*25

A=300

300 in^2

(This does not include the triangle tip of the pencil)

I think you forgot to show the measurements for the triangle tip of the pencil.

the formula for finding that is:

Area of a triangle=1/2*h*w

Answer:

3 + 3g

Step-by-step explanation: