My number is odd. It is a factor of 30 and a multiple of 3 what are my 2 numbers?

Answer:

It would take 100 days

Step-by-step explanation:

2,000,000 divided by 20,000 equals 100

So it would take 100 days

The solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have equation:

[tex]\rm x-\dfrac{7}{x}=6[/tex]

After simplifying:

[tex]\rm x^2 -7 = 6x\\\\x^2-6x-7=0[/tex]

[tex]\rm x^2 +x-7x-7=0[/tex]

(x + 1)(x - 7) = 0

x = -1 or x = 7

Thus, the solutions to the equation x minus StartFraction 7 Over x EndFraction is equal to 6 is -1 and 7

Learn more about quadratic equations here:

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Answer:

C) x= -1 and x=7

Step-by-step explanation:

Answer: x=4

Step-by-step explanation:

5x=15+5

15+5=20

5x=20

divide 5 on both sides

20/5=4

x=4

Answer:

x=4

Step-by-step explanation:

5x=15+5    add

5x=20       divide

 x=4           simplify

Answer:

x² + 13x + 30

Step-by-step explanation:

(x + 3) (x + 10)

Expand the brackets.

x(x + 10) + 3(x + 10)

x² + 10x + 3x + 30

Add like terms.

x² + 13x + 30

Answer:

=x²+13x+30 is the answer

Step-by-step explanation:

=(x+3)(x+10)

opening the brackets by multiplying

=x(x+10)+3(x+10)

=x²+10x+3x+30

=x²+13x+30

i hope this will help you :)

Answer:

  90 inches

Step-by-step explanation:

The perimeter of the inscribed triangle is 1/2 that of the enclosing triangle. So, the total of perimeters is ...

  (3·16 in)(1 +1/2 +1/4 +1/8) = (48 in)(15/8) = 90 inches

Answer:

The mod-point is (-4,-4)

Step-by-step explanation:

By using mid-point formula

M(x,y)=(x1+x2)/2 ,(y1+y2)/2

putting the values of the coordinates

M(x,y)=(0+-8)/2 ,(-8+0)/2

M(x,y)=-8/2 , -8/2

M(x,y)=(-4,-4)

So the mid-point is (-4.-4)

I hope this will help you :)

Answer:

Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:

2x + 31 = 7x - 24

-5x = -55

x = 11°.

Answer:   [tex]\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}[/tex]

Step-by-step explanation:

Notes: Coefficients condense to exponents.

           Subtraction condenses to division

[tex]5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}[/tex]

Answer: Hold on

Step-by-step explanation: LEt me see this is tricky

Answer: P= 2,800, r= 0.035, n= 12, t= 0.75

Step-by-step explanation:

I guessed and got it right!

Answer:

6x

Step-by-step explanation:

Product is multiplication.

2x × 3

Multiply.

2 × x × 3

= 6x

Answer:

Angle 5

Step-by-step explanation:

Answer:

Angle 5

Step-by-step explanation:

Angle 8 is across from angle 5 meaning they have the same degrees.

Answer:

8 puppies

Step-by-step explanation:

Total = 40

Ratio = 1:4

Total Parts = 4+1 = 5

Divide this from the total

=> 40/5 = 8

Now, Multiply the result with the ratios:

=> 4 * 8 = 32

=> 1 * 8 = 8

Answer: total number of puppies:40

Ratio of puppies to adults;1:4

1x+4x=40… 1x puppies

4x adult dogs

5x=40:x=40/5=8

No. Of puppies=1*8(x=8)

No.of adult dogs=4*8:32

Answer:

$8,355.555

Step-by-step explanation:

Hello,

This question relates to compound interest and to solve it, we'll need to use the right formula.

C.P = P(1 + r/n)^nt

C.P = compound interest

P = principal

R = rate

N = number of times compounded

T = time

C.P = $47,000

P = ?

R = 5% = 0.05

N = 4

T = 35 years

Substituting the variables into the equation,

47,000 = P (1 + 0.05 / 4) ^ (4 × 35)

47,000 = P (1.0125) ^ 140

47,000 = P × 5.625

Divide both sides by 5.625 and solve for P

P = 47,000 / 5.625

P = $8,355.555

The initial investment was $8,355.555

Answer:

A. 2x + (-x + 2) = -1

Step-by-step explanation:

Well if we use x + y = 2 as the substitute we need to solve for y.

x + y = 2

-x to both sides

y = -x + 2

Substitute

2x + (-x + 2) = -1

Thus,

the answer is A. 2x + (-x + 2) = -1.

Hope this helps :)

Answer:

Altogether they lost 150 pennies.

Step-by-step explanation:

X = Dante's pennies

Y = Mia's pennies

X + Y = 350                                       1/2 X = 2/3 Y

                                                                X = 4/3 Y

4/3 Y + Y = 350

7/3 Y = 350

Y = 350 * 3/7

Y = 50 * 3

Y = 150

X + 150 = 350

X = 200

                                                     1/2 * 200 = 2/3 * 150

                                                       100 .      =   100

1/2 * 200 = 100 -> Dante lost 100 pennies

1/3 * 150 = 50 -> Mia lost 50 pennies

Altogether they lost 150 pennies.

Answer:

Answer B (The cost of fabric compared to its length)

Step-by-step explanation:

The cost of fabric is directly proportional to the length of fabric one is buying. That constant of proportionality is telling you that there is a constant rate of change in units of cost per length.

The other options are much more randomly varying.

we need the graph/ lines,

but just remember

wherever 2 lines intersect, that is a solution

if they are paralell, no solutions

if they cross, 1 solution

if they are the same line/ the lines are on top of each other exactly, infinite solutions

The side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.

We know that Pythagoras theorem:

[tex]\rm Hypotenuse^2 = Perpendicular^2 + Base^2[/tex]

10² = 8² + 6² = 64+36 = 100

Thus, the side lengths 8 cm, 6 cm, and 10 cm that can form a right triangle option (B), (C), and (D) are correct.

Learn more about the right angle triangle here:

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Answer:

12617.13

Step-by-step explanation:

250(1+0.103)^40= 12617.13

hope it help

Answer:

12617.13

Step-by-step explanation:

Answer:

(C)221.5 miles

Step-by-step explanation:

Given a triangle with two sides a and b and an included(an angle between the two given sides) angle [tex]\theta,[/tex]

Area of the Triangle [tex]=\dfrac12 ab\sin \theta[/tex]

[tex]a=32$ miles\\b=23 miles\\\theta =37^\circ[/tex]

Therefore, The area of the portion that will not be farmed

[tex]=\dfrac12 \times 32 \times 23 \times \sin \37^\circ\\=221.47\\\approx 221.5$ square miles[/tex]

The correct option is C.

Answer: B) 76.86

Step-by-step explanation:

Follow the steps others took to get D, then divide by 12 to get 76.86

Hope it helps <3

Answer:

true

Step-by-step explanation:

because CD divided AB into equal halves, so they are of course perpendicular.

Answer:

Step-by-step explanation:

This is definitely true. AC is congruent to BD, and by the Isosceles Triangle Theorem, if this congruency is true, then the angles across from these congruent sides are also congruent. This means that angle ACD is congruent to angle BCD. That makes CD a bisector of angle ACB; it also makes CD a bisector of side AB. The definition of a perpendicular bisector is that the segment splits its angle in half (and it does) and that it splits the side it goes through in half (which it does). This makes CD, in a nutshell, the perpendicular bisector of AB (which also means that CD is perpendicular to AB).

Answer:

[tex] {25x}^{4} + 60 {x}^{3} y + 36 {x}^{2} {y}^{2} [/tex]

Step-by-step explanation:

[tex](5 {x}^{2} )^{2} + 2 \times 5 {x}^{2} \times 6xy + (6xy)^{2} [/tex]

Gives the above answer

Answer:

in the picture

Step-by-step explanation:

Answer:

D. 2 7/12

Step-by-step explanation:

8 1/4 - 5 2/3

Turn to improper fractions.

33/4 - 17/3

Make the denominators equal.

99/12 - 68/12

Subtract the fractions since denominators are equal.

31/12

= 2 7/12

Answer:

[tex] 2 \frac{7}{12} [/tex]

Answer D is correct.

Step-by-step explanation:

[tex]8 \frac{1}{4} - 5 \frac{2}{3} \\ \frac{33}{4} - \frac{17}{3} \\ \frac{99 - 68}{12} \\ \frac{31}{12} = 2 \frac{7}{12} [/tex]

Answer:

see below

Step-by-step explanation:

Formula: Center Not at Origin:

New point = k( x-a) +a, k( y-b) +b  where k is the scale factor and ( a,b) is center of dilation

New point = -2( x-4) +4, k( y-6) +6  

The scale factor is k = -2

Taking the top point ( 1,9)

New point = -2( 1-4) +4, -2( 9-6) +6

                   = -2(-3) +4 , -2(3) +6

                       6+4, -6+6

                         10,0  

Taking the bottom left point ( 1,7)

New point = -2( 1-4) +4, -2( 7-6) +6

                   = -2(-3) +4 , -2(1) +6

                       6+4, -2+6

                         10,4  

Taking the bottom right point ( 2,7)

New point = -2( 2-4) +4, -2( 7-6) +6

                   = -2(-2) +4 , -2(1) +6

                       4+4, -2+6

                         8,4  

Answer:

4:7

Step-by-step explanation:

The number of students in the class is:

boys + girls

12 + 16 = 28

There are 28 students.

The ratio of girls to students is:

16:28

Simplify the ratio.

4:7

Answer:

4:7  

Step-by-step explanation:

I got it right on the test

Answer:

262.44 cubic metres.

Step-by-step explanation:

First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.

pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.

Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.

137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.

Hope this helps!

Answer:

5*5*5=125

volume of cylinder=137.44

137.44+125=262.44

Step-by-step explanation:

Answer:

1/20.

Step-by-step explanation:

Dividing by 4 is the same as multiplying by 1/4 so

1/5 / 4

= 1/5 * 1/4

= 1 /(5*4)

= 1/20.

Answer:

Step-by-step explanation:

[tex] \frac{1}{5} \div 4[/tex]

Flip the second fraction and multiply

Dividing fraction is exactly same as multiplying the reciprocal

[tex] \frac{1}{5} \times \frac{1}{4} [/tex]

Multiply the fractions

[tex] \frac{1 \times 1}{5 \times 4} [/tex]

Calculate

[tex] \frac{1}{20} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Hi !

You need to use the  "cosine rule" :

d² = 24² + 32² - (2 x 24 x 32)cos125°

So == >  d² = 1600 - 1536cos125°

Then ==> d² = 2481.013406

Conclusion == > d = 49.8 nautical miles

The distance between the ships after 2 hours is 49.8 nautical miles

; )

Answer:

a = 0.5 or 1/2

b = 19/4 or 4.75

Step-by-step explanation:

Step 1: Isolate x's

x² - x = -5

Step 2: Complete the Square

x² - x + 1/4 = -5 + 1/4

(x - 1/2)² = -19/4

Step 3: Move everything to one side

(x - 0.5)² + 4.75