What is the result when the number 5 is increased by 20%?

Answer:

55

Step-by-step explanation:

Factors for 605: 1, 5, 11, 55, 121, and 605

Factors for 55: 1, 5, 11, and 55

So the highest common factor they have is 55.

HCF = 55

Answer:

Let x be the number

"five times a number"

5x

"six less than five times a number"

5x-6

"is at least 29" >29 (greater than or equal too)

5x - 6 > 29

5x > 35 (add +6 to both sides retains the dense if the inequality)

x>7 (divide both sides by +7 retains the sense of Inequailty)

Check:

Is 5(7) - 6 > 29?

35 - 6 > 29 ?

29 > 29? yes, they are equal.

Try 50:

Is 5(50) - 6 > 29 ?

250 - 6 > 29?

244 > 29 ? yes

Answer:

5x - 6 = 29

Answer:

a.  He used an incorrect time ratio converting hours to minutes.

d. He incorrectly concluded that she is not running fast enough.

Step-by-step explanation:

Looking at the Coach's method of conversion when converting time, he assumed that an hour had 15 minutes instead of 60 minutes. He therefore did not use the correct time ratio to convert hours to minutes.

The coach's calculations yielded an answer of 34 ft/s. This is way faster than 8.8 ft/ s so his deduction that she was not running fast enough to beat her fastest time is incorrect because at that inhumane speed, she did.

Answer: A.)He used an incorrect time ratio converting hours to minutes.

D.)He incorrectly concluded that she is not running fast enough.

Step-by-step explanation: i hope this helps :)

Answer:

18-3n

Step-by-step explanation:

18-3(1)=15

18-3(2)=12

etc

etc

Answer:

-9

Step-by-step explanation:

8(x - 1) = 5x - 35

8x - 8 = 5x - 35

8x - 5x = 8 - 35

3x = -27

x = -27/3

x = - 9

Answer:

30ml

Step-by-step explanation:

200ml * 15%

200ml * 0.15

= 30

There are 30 ml in the 1st hand sanitizer

Answer:

30 m l

Step-by-step explanation:

15%=0.15

200 divided by 0.15 is 30.

So therefore,

the answer is 30 ml.

Answer:

27 because you have to multipli and then divide

Answer:

about 93 weeks

Step-by-step explanation:

divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks

Answer:

604.58

Step-by-step explanation:

because hegarty says its 604.58

Answer: y = -1/3x - 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Make a equation like 3m+10=37 and solve for m

Answer:

Elena walked 9 miles, Jada walked 13 miles, and Jin walked 15 miles.

Step-by-step explanation:

If you add the rectangles together, you get 3m + 10 = 37, so m = 9, and from then, you can add the number together to get the answers

Answer:  False

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

Explanation:

To see if the x value is a solution or not, we plug it into the equation given

2x+7 = 30 .... original equation

2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3

6 + 7 = 30 .... multiply 2 and 3 to get 6

13 = 30 ...... add 6 and 7 to get 13

We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.

That's why the overall claim is false.

Answer: D. 150

Step-by-step explanation:

Given equation: [tex]3(3x-10)=5(x+10)[/tex] , it shows the relationship between the perimeter of an equilateral triangle and the perimeter of an equilateral triangle.

Consider [tex]3(3x-10)=5(x+10)[/tex]

[tex]\Rightarrow\ 9x-30=5x+50\\\\\Rightarrow\ 9x-5x= 50+30\\\\\Rightarrow\ 4x= 80\\\\\Rightarrow\ x=\dfrac{80}{4}\\\\\Rightarrow\ x= 20[/tex]

Now, perimeter of pentagon  = 5(x+10) = 5 (20+10)

= 5(30) = 150

Hence, option D is correct.

Answer:

[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]

Hence, option C is correct.

Step-by-step explanation:

Given the expression

[tex]\sqrt{27x^2y^2}[/tex]

simplifying the expression

[tex]\sqrt{27x^2y^2}=\sqrt{27}\sqrt{x^2}\sqrt{y^2}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

               [tex]=\sqrt{27}x\sqrt{y^2}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                [tex]=\sqrt{27}xy[/tex]

                [tex]=xy\sqrt{3^3}[/tex]

                 [tex]=xy\sqrt{3^2\cdot \:\:3}[/tex]

Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

                  [tex]=3xy\:\sqrt{3}[/tex]

Therefore,

[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]

Hence, option C is correct.

Answer:

The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

Step-by-step explanation:

Answer:

176.7 in²

Step-by-step explanation:

The formula for the area of a circle is πr².

But first, you have to find the radius. The radius is half of the diameter, which is the length from one edge of the circle to the other.

Here the diameter is 15 in. Divide the diameter by 2 to get the radius.

r = 15 ÷ 2 = 7.5 in

Now plug the radius into the formula and solve for the area.

A = πr²

A = π(7.5)²

A = π(56.25)

A = 176.7145868 ⇒ 176.7 in²

Hope that helps.

Answer:

Step-by-step explanation:

Given triangle ACD

Perimeter is sum of the side lengths:

AD = CD because D is vertex and the triangle is isosceles

AC = AB + BC because B is midpoint of AC

Then P is:

Find the value of x from the AB = BC:

Then find the value of P:

Answer:

67.2

Step-by-step explanation:

64 - 21 = 43

43/64 × 100 = 67.188

Answer:

Step-by-step explanation:

y=-1 ans.

x=2*-1=3

x=-2+3

x=1 ans.

Proof:

4*1-5*-1=9

4+5=9

9=9

Answer:

9

Step-by-step explanation:

Answer:

C y>2/3x+3

Step-by-step explanation:

Use y=mx+b format. The B is the y-intercept. From the y-intercept (3), go up two then to the right 3. That gives you the slope, or mx which is 2/3. The area shaded is above so it would be the greater than symbol.  

Answer: 531441

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

fourth option

Step-by-step explanation:

Since the sides are congruent, then the diagonal divides the square into 2 right isosceles triangles.

Thus the 2 base angles are congruent with measure 45°

Hence y = 45

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

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 5[tex]\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

1) √36 = 6

2) ^3 √8 = 2

3) ^3 √64 = 4

Answer:

B

Step-by-step explanation:

To get from 1 to 5, add 4.

To get from 3 to 7, add 4.

To get from 4 to 8, add 4.

Hope this helps!

Answer:

38. <1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

Step-by-step explanation:

38. Sum of angles in a triangle = [tex]180^{o}[/tex]

So that;

38 + 110 + <2 = [tex]180^{o}[/tex]

148 + <2 = [tex]180^{o}[/tex]

<2 = [tex]180^{o}[/tex] - 148

<2 = [tex]32^{o}[/tex]

Thus,

<1 = [tex]38^{o}[/tex] (alternate angle principle)

<3 = [tex]110^{o}[/tex]

Therefore;

<1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <2 = [tex]28^{o}[/tex] (alternate angle principle)

So that;

sum of angles in a triangle = [tex]180^{o}[/tex]

<1 + <2 + 81 = [tex]180^{o}[/tex]

<1 + [tex]28^{o}[/tex] + 81 = [tex]180^{o}[/tex]

<1 + 109 = [tex]180^{o}[/tex]

<1 = [tex]180^{o}[/tex] - 109

   = [tex]71^{o}[/tex]

<1 = [tex]71^{o}[/tex]

<3 = [tex]81^{o}[/tex]

<1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]