maths equations questions

Answer:

7

Step-by-step explanation:

hey there,

< Here's how you do subtraction in fractions!

Make sure you find a least common denominator. Here, it's given to you to be 15. Usually, you can just multiply the two denominators but then it would be quite large at times, so you kind of just have to guess.

How did they go from  [tex]\frac{4}{5} x-\frac{1}{3} x[/tex]  to [tex]\frac{?}{15} x[/tex]?

Well, they used a least common denominator. 5 was multiplied by 3 to create 15, and 3 was multiplied by 5. But when you multiply the bottoms, you have to multiply the tops of the fraction too (the numerators).

So 4/5x was multiplied by 3. Denominator turned out to be 15, and now the top is 4x3 = 12. So the fraction is 12/15.

1/3x, on the other hand, was multiplied by 5. Denominator was also 15 so they're the same, and top is 1x5 = 5. So the fraction is 5/15.

Now, let's put them together.

[tex]\frac{12}{15}x-\frac{5}{15} x[/tex]

When subtracting x, the x just stays there, so if it was 10x-4x, the answer would've been 6x. So now let's subtract!

12-5 = 7, and the denominator stays the same.

The answer is [tex]\frac{7}{15} x[/tex]. So the numerator, or answer to your question, would be 7.

Hope this helped! Feel free to ask anything else.

Answer: 2.204

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

[tex]\displaystyle \log_3 5=\frac{\ln 5}{\ln 3}[/tex]

Step-by-step explanation:

We want to write:

[tex]\log_3 5[/tex]

Using natural logarithms.

We can use the following property of logarithms:

[tex]\displaystyle \log_b a=\frac{\log_c a}{\log_c b}[/tex]

Hence, if we let c be equal to e:

[tex]\displaystyle \log_b a= \frac{\log _e a}{\log _e b} = \frac{\ln a}{\ln b}[/tex]

Then by letting a = 5 and b = 3:

[tex]\displaystyle \log_3 5=\frac{\ln 5}{\ln 3}[/tex]

Answer:its either 1 or 2

Step-by-step explanation:

Answer:

It would be the second one :) I think

Step-by-step explanation:

Answer: To do that you divide the top to the bottom so 4,102 divided by 7 which is 586

Answer: 586

Step-by-step explanation:

The decimal notation is 586.0

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given:  4,102/7

Now to write the above fraction into decimal we have to divide the fraction

as

4102/7= 586

As, the divides the fractions completely.

Hence, the decimal notation is 586.0

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Answer:

Length = 12

Step-by-step explanation:

L × W = Area

84 / 7 = 12

12 × 7 = 84

The required length of the given rectangular garden is given as 12 feet.

Given that,
A rectangular garden has an area of 84 square feet. If the width of the park is 7 feet, what is length is to be determined.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

here,
Let the measure of the length of the rectangular garden be l,
Since,
Area of the rectangle  = length × width

Area of the rectangle = l × 7
l × 7 = 84
l = 84 / 7
l = 12 feet

Thus, the required length of the given rectangular garden is given as 12 feet.

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Answer:

[tex]48m^2-72mn[/tex]

Step-by-step explanation:

We need to solve [tex](8m-3n)^2 - (4m+3n)^2[/tex]

We know that,

[tex](a+b)^2=a^2+b^2+2ab\\\\(a-b)^2=a^2+b^2-2ab[/tex]

Using the above formula,

[tex](8m-3n)^2 - (4m+3n)^2=(8m)^2+(3n)^2-2(8m)(3n)-[(4m)^2+(3n)^2+2(4m)(3n)]\\\\=64m^2+9n^2-48mn-(16m^2+9n^2+24mn)\\\\=64m^2+9n^2-48mn-16m^2-9n^2-24mn\\\\=48m^2-48mn-24mn\\\\=48m^2-72mn[/tex]

So, the final answer is [tex]48m^2-72mn[/tex].

Answer:

3

Step-by-step explanation:

I just is manhghgfthfff

Answer: It is chromatography.

Step-by-step explanation:

when water or dye passes through a medium and changes color then that means it must be chromatography.

Chromatography is a method of separating a mixture into its components to study and analyze its various components.

The method of separation of the given situation is chromatography.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as πr².

We have,

Chromatography is a method of separating a mixture into its components to study and analyze its various components.

Evaporation is the process of converting liquid into vapor.

Distillation is the process of separating its components from a mixture by boiling.

Filtration is the process of separating its components into solid and fluid.

When a drawing of a circle made in the center of a piece of paper with a black marker gets wet, the marker bleeds, and as the water moves through the paper the ink separates into several colors.

This method is called chromatography.

Thus,

The method of separation of the given situation is chromatography.

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Answer:

Step-Smallest angle = 40

by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                      7x = 180 - 19

                                      7x = 161               {Divide both sides by 7}

                                         x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

Answer:

Step-by-step explanation:

She read 30 pages in 25 minutes.

Rise over run is slope. Find the slope. That is the rate of change.

the y coordinate is (0,0)

Answer:

5 hours

Step-by-step explanation:

737mi / 11hr = 67mph

335mi / 67mph = 5hr

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

Here are two ways to solve

Method 1

First determine her speed if she goes 737 miles in 11 hours.

distance = rate*time

d = r*t

737 = r*11

737 = 11r

11r = 737

r = 737/11

r = 67

Her speed is 67 mph. Use this to find how long it would take if she drove 335 miles.

d = r*t

d/r = t

t = d/r

t = 335/67

t = 5 hours is the time it takes to drive 335 miles assuming Martina drives at the same speed.

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

Method 2

We can use a proportion to solve

(distance 1)/(time 1) = (distance 2)/(time 2)

(737 miles)/(11 hours) = (335 miles)/(x hours)

737/11 = 335/x

737*x = 335*11 .... cross multiply

737x = 3685

x = 3685/737 ..... divide both sides by 737

x = 5

We get the same answer of 5 hours.

Answer:

x = -5

Step-by-step explanation:

-3x + 24 = 39

-3x = 15

x = -5

................................

Answer:

The multiplication property of zero is about multiplying 0. If you multiply a number by zero, the product will be zero.

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer: Angle X

Reason: For any triangle, the largest angle is always opposite the longest side.

∠X is the largest measure on the triangle XYZ.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The angle opposite to the largest side is the largest measure.

So,

XY = 6 and opposite angle = ∠Z

YZ = 9 and opposite angle = ∠X

XZ = 8 and opposite angle = ∠Y

We see that,

YZ > XZ > XY

So,

∠X > ∠Y > ∠Z

Thus,

∠X is the largest measure on the triangle XYZ.

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Answer: $1.50 per rose

Step-by-step explanation: You add 38 and 45, because you want to find the total of the roses she sold. 38 + 45 = 83. Then you have to divide the total price by how many roses she sold. So, 124.50 / 83 = 1.5. So, it's $1.50 per rose.

Answer:

36 : 4

Step-by-step explanation:

40 divided into ratio 9:1 is like 40 / (9 + 1) multiplied to both sides of 9:1

40 / (9 + 1) = 4, and if you multiply both sides by 4, you get 36 : 4

Answer:

I think the answer is 36

Step-by-step explanation:

You add 9 and 1 to get 10 and then you divide 40 by 10 and get 4 and then you multiple 9 and 4 to get 36.

Answer:

x = 58

[tex] m\angle 4 = 116\degree [/tex]

Step-by-step explanation:

[tex] m\angle 2 = m\angle 6..... (1)\\(alternate \: \angle s) \\\\

m\angle 5 + m\angle 6 = 180\degree \\(linear \: pair\: \angle s) \\\\

\therefore m\angle 6 = 180\degree-m\angle 5..... (2)\\\\[/tex]

From equations (1) & (2)

[tex] m\angle 2 =180\degree-m\angle 5\\\\

\therefore (2x)\degree =180\degree-(x+6)\degree \\\\

\therefore (2x)\degree +(x+6)\degree =180\degree\\\\

\therefore (2x+x+6) \degree =180\degree\\\\

\therefore (3x+6) \degree =180\degree\\\\

3x + 6 = 180\\\\

3x = 180-6\\\\

3x = 174\\\\

x = \frac{174}{3} \\\\

\huge \purple {\boxed {x = 58}} \\\\

\because m\angle 4 = m\angle 2\\(corresponding \: \angle s) \\\\

\therefore m\angle 4 = (2x)\degree \\\\

\therefore m\angle 4 = (2\times 58)\degree \\\\

\huge \orange {\boxed {\therefore m\angle 4 = 116\degree}} [/tex]

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for y: ...

Step 2: Substitute that equation into the other equation, and solve for x. ...

Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

Answer:

He does qualify for the discount, his total will be $43.45

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The better deal

Would be the lowest cost per ounce.

Divide total cost by total ounces and compare them.

7.20/60 = 0.12 per ounce.

8.25/75 = 0.11 per ounce.

75 ounces for 8.25 is the better deal

Answer:

D

Step-by-step explanation:

Answer:

x > -7 hope this helps

Step-by-step explanation:

9514 1404 393

Answer:

  1.5 cm

Step-by-step explanation:

The midpoint of OB is 9/2 = 4.5 cm from O

The midpoint of OA is 12/2 = 6.0 cm from O

Since O is not on AB, we must have B on OA, so the distance between midpoints is ...

  6 cm -4.5 cm = 1.5 cm . . . . distance between midpoints

Answer: y≤4x+3 and y≤-3x-5

Step-by-step explanation:

The slope of the first line is 4. The slope of (-1,-1) and (0,3) is 4. And the line passes through 3, so the y-intercept is 3.

The slope of the second line is 3. The slope of (-3,4) and (-1,-2) is -3. And the line passes through -5, so the y-intercept of the second line is -5