Please Solve
3/5 (2m-10)=2/3m+10

Answer:

[tex]\angle A=17\textdegree[/tex]

Step-by-step explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

[tex]\angle A+\angle B=90[/tex]

Since we know their equations, substitute:

[tex](x+8)+(8x+1)=90[/tex]

Solve for x. Combine like terms on the left:

[tex]9x+9=90[/tex]

Subtract 9 from both sides:

[tex]9x=81[/tex]

Divide both sides by 9:

[tex]x=9[/tex]

So, the value of x is 9.

We want to find A. So, let's use the equation for A:

[tex]\angle A=x+8[/tex]

Substitute 9 for x:

[tex]\angle A=9+8[/tex]

Add:

[tex]\angle A=17\textdegree[/tex]

So, the measure of A is 17°.

Answer:

x = 0, [tex]-\frac{1}{6}[/tex], 3

Step-by-step explanation:

Hey there!

Step 1: Regroup terms.

2x(6x + 1) (3x - 9) = 0

Step 2: Solve for x.

x = 0, [tex]-\frac{1}{6}[/tex], 3

~I hope I helped you! :)~

Answer:

Answer: 4⁵ x 10⁴

Step-by-step explanation:

= 10⁴ * 4¹⁰⁻⁵

= 10⁴ * 4⁵

= 4⁵ x 10⁴

Answer:

4^6

Step-by-step explanation:

U add the exponents and keep the base the same

Answer:

1/4 = 1/2² = 2^-2

Step-by-step explanation:

1/4 can be expressed as a negative exponent is 4⁻¹

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x⁻³, it actually stands for 1/x³

Given here, 1/4 thus it can be expressed as 4⁻¹

Hence, 1/4 can be expressed as a negative exponent is 4⁻¹

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Answer:

36

Step-by-step explanation:

6(2(5)-4)

6(10-4)

6(6)

=36

You plug in the variable value, then solve :)

Answer:

The value of 6(2b-4) when b=5 is 36.

Step-by-step explanation:

Answer:

11/12

Step-by-step explanation:

Area is Length x width.

Area = 4x * 5

Area = 20x

Replace A in the inequality:

Now you have 100 <= 20x <= 1,000

Now solve for x by dividing all 3 by 20:

5 <= x <=50

Check to see if they are viable:

4(5) x 5 = 20 x 5 = 100

4(50) x 5 = 200 x 5 = 1,000

Since the lowest number equals 100 and the largest number equals 1,000 all values of x would be viable. The answer is YES.

Answer:

260 miles

Step-by-step explanation:

Sara made it to her destination in four hours, while Holly made it to her destination traveling 260 miles. This can be calculated by taking Sara's 200 miles, and dividing it by 50 mph to get a total of four hours spent driving. If Holly is also driving for four hours, but instead traveling at 65 mph, you can take 65 and multiply it by four hours to get a total of 260 miles. Hope this helps!

Answer:

x=2

Step-by-step explanation:

12x-8=16

12x=24

x=2

Answer:

9

Step-by-step explanation:

-3*-2 is 6+3 is 9

2 negatives equal a positive when multiplying or dividing

The answer fam is.....9

Answer:

25/102

Step-by-step explanation:

P(red) = 26/52 = 1/2

P(red after red) = 25/51

1/2 * 25/51 = 25/102

Answer:

2y+6

Step-by-step explanation:

3y+6-y

2y+6

Answer:

2y+6

Step-by-step explanation:

If you are simplifying, combine like terms

3y-y=2y

Answer:

x = -4 / 3

Step-by-step explanation:

step 1. simplify 4x2 to 8

8+6x=0

step 2. subtract 8 from both sides.

6x = -8

step 3. divide in both sides by 6.

x = - 8 / 6

step 4. simplify 8/6 to 4/3.

x = -4 / 3

Answer:

5

Step-by-step explanation:

Answer:

the answer is 777.92 million kilometers

Step-by-step explanation:

The distance between Jupiter and Sun is 777.92 million km

Distance is defined to be the magnitude or size of displacement between two positions.

Given that the distance between Earth and Sun is 149.6 million km and Jupiter is about 5.2 times farther away from the Sun than Earth is,

Therefore, distance between Sun and Jupiter is = 149.6 × 5.2 = 777.92 million km

Hence, the distance between Jupiter and Sun is 777.92 million km

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Answer:

Every time you top off your vehicle at the pump, you're paying federal and state gas taxes that are included in the price of every gallon of gasoline. The federal tax, at 18.4 cents per gallon, is meant to help the federal government pay to build and fix things like highways and bridges.

Step-by-step explanation:

Mark me brainliest

Answer: These taxes are meant to do two things — raise money to pay for infrastructure and reflect some of the environmental costs of driving. Unlike most taxes, gas taxes are charged as a flat charge per liter, rather than as a percentage of the pump price.

Answer:

5/6

Step-by-step explanation:

7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9

5/6 is greater than 7/9

A common fraction is a numeral which represents a rational number. For example 2/3

Given here, 7/9 and  5/6 now 7/9 = 0.777 and 5/6= 0.833

Thus clearly 5/6 >7/9

Hence, 5/6 is greater than 7/9

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Answer:

3

Step-by-step explanation:

3x22.75=68.25 or less than the yearly pass

Answer:

Question is wrong dear

Answer:

The trail on her new map is 8 cm

Step-by-step explanation:

Here, we are interested in knowing the the length of the trail on the new map.

The scale on her old map is 1 cm represents 100 m

While her new map has a scale of 1 cm to 500 m

Now, running a trail of 40 cm on her old map, we need to get the actual distance.

The actual distance will be 40 * 100 = 4,000 m

Now, we shall convert this to the new map scale

We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m

That would be 4,000/500 = 8 cm

So the trail on her new map is 8 cm

Answer:

The actual distance will be 40 * 100 = 4,000 m

Step-by-step explanation: Now we have to convert the new scale map by dividing the 4,000 m by 500 m so that would be 4,000/500 = 8 cm

Answer:

6 Buckets

Step-by-step explanation:

30-12 =18

18 divided by 3 = 6

Answer:

6

Step-by-step explanation:

30-12=18

18/3=6

You are correct! It's 6 buckets :)

Answer:

-69

Step-by-step explanation:

16-(5)(16)-(5)

16x5=80

16-80-5

16-80=-64

-64-5=-69

Answer:

The answer is 8.

Step-by-step explanation:

Answer:

its fliping b

Step-by-step explanation:

too on edge

Answer:

C.

Step-by-step explanation:

got it right on edge :)

The given trig function consist of trig values of common angles;

The values that represent the solution to [tex]\mathbf{cos \left(\dfrac{\pi}{4} - x\right)} = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex], x ∈ [0, 2·π) are;

[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]

Reason:

The given function is presented as follows;

[tex]cos \left(\dfrac{\pi}{4} - x\right) = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]

Where;

x ∈ [0, 2·π)

We have;

cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B)

[tex]cos \left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}, \ sin\left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}[/tex]

Which gives

[tex]cos \left(\dfrac{\pi}{4} - x\right) =\dfrac{\sqrt{2} }{2} \cdot cos \, x + \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]

Therefore, we get;

[tex]\dfrac{\sqrt{2} }{2} \cdot cos \, x = \dfrac{\sqrt{2} }{2} \cdot sin \, x - \dfrac{\sqrt{2} }{2} \cdot sin \, x = 0[/tex]

cos x = 0

Therefore;

Where;

n = 1, 3, 5, ...

x ∈ [0, 2·π)

We get;

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Answer:

19

Step-by-step explanation:

Answer:19

Step-by-step explanation:

Answer:

The equation –3y = 15 – 4x rewritten in slope-intercept form is  

✔ y = (4/3)x – 5

.

The y-intercept is  

✔ –5

and the slope of the line is  

✔ 4/3

.

Line  

✔ B

is the graph of the line –3y = 15 – 4x.

Line B represents the given linear equation [tex]-3y =15 -4x.[/tex]

Slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]

y-intercept is -5.

Slope of the line is [tex]\frac{4}{3}[/tex].

" Linear equation is defined as the algebraic expression whose highest exponent of the variable is 1."

Formula used

Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

Slope intercept form y=mx +c

c = y-intercept

m = slope

According to the question,

Given linear equation,

[tex]-3y = 15-4x[/tex]

Convert the given linear equation in slope intercept form we get,

[tex]y = \frac{4}{3}x-5[/tex]

Compare it with the formula we get,

Slope 'm' = [tex]\frac{4}{3}[/tex]

y-intercept = -5

From the diagram we can have coordinates of line B

[tex]( x_{1} ,y_{1} )= (3,-1)\\\\( x_{2} ,y_{2} )= (0,-5)[/tex]

Substitute the value to get slope of line B,

Slope of line 'B' = [tex]\frac{(-5-(-1))}{0-3}[/tex]

                            [tex]= \frac{-4}{-3} \\\\=\frac{4}{3}[/tex]

From the diagram y-intercept for line B is -5.

Equation of line B

[tex]y = \frac{4}{3}x-5[/tex]

Hence,  slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]. Line B represents the given equation with y-intercept is -5 , Slope of the line is [tex]\frac{4}{3}[/tex].

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