sentence
After several days of drilling, a water well is 80
meters deep. The well is being drilled at a rate of
20 meters per day.
How many more days will it take to reach a total
depth of 180 meters?

Answer:

x = 10

Step-by-step explanation:

7x - 15 = 4x + 15

7x - 4x = 15 + 15

3x = 30

x = 10

Answer:

x = 10

Step-by-step explanation:

Given that AC and BD are congruent , then

7x - 15 = 4x + 15 ( subtract 4x from both sides )

3x - 15 = 15 ( add 15 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Answer:

Step-by-step explanation:

Measure of an inscribed angle intercepted by an arc is half of the measure of the arc.

From the picture attached,

m(∠A) = [tex]\frac{1}{2}m(\text{arc BD})[/tex]

           = [tex]\frac{1}{2}[m(\text{BC})+m(\text{CD}][/tex]

           = [tex]\frac{1}{2}[55^{\circ}+145^{\circ}][/tex]

           = 100°

m(∠C) = [tex]\frac{1}{2}[(360^{\circ})-m(\text{arc BCD})][/tex]

           = [tex]\frac{1}{2}(360^{\circ}-200^{\circ})[/tex]

           = 80°

m(∠B) + m(∠D) = 180° [ABCD is cyclic quadrilateral]

115° + m(∠D) = 180°

m(∠D) = 65°

m(arc AC) = 2[m(∠D)]

m(arc AB) + m(arc BC) = 2(65°) [Since, m(arc AC) = m(arc AB) + m(arc BC)]

m(arc AB) + 55° = 130°

m(arc AB) = 75°

m(arc ADC) = 2(m∠B)

m(arc AD) + m(arc DC) = 2(115°)

m(arc AD) + 145° = 230°

m(arc AD) = 85°

Answer:

a) log 2 (48 ×3 ×9 )

log 2 1296

10.3

b) log 4 24 - log 4 3/4 log 4 2

log 4 36

2.58

Answer:

Answer:

35/9

Step-by-step explanation:

7y=-3x-1

y=-3/7x-1/7

m=-3/7

Now,

3my=-5x+2

y=-5/3mx+2/3

So

-3/7=-5/3m

-9m=-35

m=35/9

Answer:

35/9

Step-by-step explanation:

What we need to know:

Parallel lines have the same slope

slope intercept form: y = mx + b

m = slope

The first thing we will want to do is put both equations in slope intercept form.

We must do this so we can identify the slope.

First equation:

3x + 7y + 1 = 0

Solve for y

Subtract 1 from both sides

3x + 7y + 1 - 1 = 0 - 1.

3x + 7y = -1

Subtract 3x from both sides

3x - 3x + 7y = -1 - 3x

7y = -3x - 1

Divide both sides by 7

7y/7 = (-3x - 1)/7

y = -3/7x - 1/7

So the equation of the first line is y = -3/7x - 1/7

Second equation:

5x + 3my – 2 = 0

Solve for y

Subtract 5x from both sides

5x - 5x + 3my - 2 = 0 - 5x

3my - 2 = -5x

Add 2 to both sides

3my - 2 + 2 = -5x + 2

3my = -5x + 2

Divide both sides by 3m

3my/3m = (-5x + 2)/3m

y = -5x/3m + 2/3m

So the equation of the second line is y = -5x/3m + 2/3m

So we have the two equations:

y = -3/7x - 1/7 and y = -5x/3m + 2/3m and we want to find the value of m if the two lines are parallel

Lines that are parallel have similar slopes

So the slope of the first equation should be the same as the slope of the second equation

The slope of y = -3/7x - 1/7 is -3/7 as it takes the spot of "m" in y = mx + b.

The slope of y = -5x/3m + 2/3m is -5/3m as it takes the spot of "m"

If the slopes of parallel lines must be similar than -3/7 = -5/3m

(Note that we've just created an equation that we can use to solve for m)

We now solve for m

-3/7 = -5/3m

Cross multiply

3*-3m = -9m

7*-5=-35

we acquire -35 = -9m

Divide both sides by -9

-35/-9 = 35/9

-9m/-9=

We're left with m = 35/9

So we can conclude that the value of m would be 35/9 if the two lines are parallel

1. the question is asking you to multiply the two function expressions together

2. so all we do is (3x - 1)(x² + 4) which gives you 3x³ + 12x - x² - 4

Explanation:

The square has perimeter P = 16, so each side of the square is P/4 = 16/4 = 4 cm.

This makes side KJ = 4 cm, and this is the diameter of the circle. Multiply the diameter with pi to get the circumference (aka the perimeter of the circle).

Therefore, the perimeter is pi*d = pi*4 = 4pi which points us to choice B

Answer:

3x-2/x²-3x+2

Step-by-step explanation:

you have to expand the bottom equations

(x-1)(x-2)

x(x-2)-1(x-2)

x²-2x-x+2

x²-3x+2

now from this you can't divide it into the top equation because not all the terms are like so it's better to bring it down as it is.

3x-2/x²-3x+2

I hope this helps

25%

Step-by-step explanation:

# of non-fiction books ÷ # of total books = percentage of non-fiction books

4 non-fiction books + 12 fiction books = 16 total books

4 non-fiction books divided by 16 total books = percentage of non-fiction books

4÷16= 0.25

0.25 x 100 = 25%

Answer: 0.48 percent

Step-by-step explanation:

Answer:

(I don't have the complement sign of sets, so I've used "©" to denote compliment)

L.H.S.

(B-A)∪C

= (B∩A©)∪C

= (B∪C)∩(A©∪C)

= (B∪C)∩(A-C)©

= (B∪C)-(A-C) = R.H.S.

(Proved)

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.

Step-by-step explanation:

There are mistakes in the statement, correct form is presented below:

[tex]5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}[/tex].

By direct comparison we have the following system of equations:

[tex]a = 5[/tex] (1)

[tex]\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}[/tex] (2)

In (2) we solve for [tex]b[/tex]:

[tex]\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}[/tex]

[tex]b = -\frac{15}{7}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.

Answer:

a) 122.5 m ; b) 10 s

Step-by-step explanation:

Just use the given equation and plug in what you know.

a)

d = 4.9t^2

d = 4.9(5^2)

d = 4.9 * 25

d = 122.5 m

b)

d = 4.9t^2

490 = 4.9t^2

100 = t^2

t = 10 s

Answer:

a) 122.5 meters

b) 10 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

Algebra level

Answer:

Letter B. Hyperbole is your answer

Answer:

3x + 5x - 4 = 1

Step-by-step explanation:

rewrite equations (i'm using the substitution method)

3x + y = 1

y = 5x − 4

plug in the second equation into the first

3x + (5x − 4) = 1

Hi there!

[tex]\large\boxed{102^o}[/tex]

Using the triangle exterior angle theorem, we know that:

∠4 = the other two angles of the triangle combined (both are given)

Thus:

∠4 = 51 + 51 = 102°

Angle 4 is an outside angle.

An outside angle of a triangle is equal to the sum of the two opposite inside angles.

The two opposite inside angles to angle 4 are shown as 51 and 51

Angle 4 = 51 + 51

Angle 4 = 102 degrees.

Answer:  43,2

Step-by-step explanation:

[tex]\bf 3\sqrt{216 }=3\cdot 6\sqrt{6}=18\sqrt{6} \approx43.2 \\\\ \sqrt{216} =\sqrt{ 2^{3}\cdot 3^3}=\sqrt{2^2\cdot 3^2\cdot 3\cdot 2}=3\cdot 2\sqrt{3\cdot 2} =6\sqrt{6}[/tex]

Answer:

Point C

Step-by-step explanation:

We want to reflect across the x axis

That means the y coordinate changes sign

Z = ( 5 1/2 , 3)

Z' = ( 5 1/2 , -3)

That is point C

Answer:

43,200 minutes in 1months or 30 days

There are 43200 minutes in one month.

The basic explanation of multiplication is adding a number, with respect to another number, repeatedly.

Given that, How many minutes are in a 30-day month,

We have, 60 minutes in 1 hour

And, 24 hours in 1 day,

Then, number of minutes in 1 day = 60 × 24 = 1440 minutes

Therefore, in 1 month = 1440 × 30 = 43200 minutes

Hence, there are 43200 minutes in one month.

Learn more about multiplication, click;

https://brainly.com/question/5992872

#SPJ2

Answer: 39°

Step-by-step explanation:

Angle of depression must be less than 90° but greater than 0°

Answer:

(x-2)^2 + (y+9)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-2)^2 + (y--9)^2 = 3^2

(x-2)^2 + (y+9)^2 = 9

Answer:

D.) (x−2)2+(y+9)2=9

Step-by-step explanation:

I got it correct on founders edtell

Answer:

Angle A = 42°

Side b (Opposite side of angle B) = 13

Side c (Opposite side of angle C) = 29

Answered by GAUTHMATH

Answer:

Total student= 600

Step-by-step explanation:

Let x be the number of students

[tex]x \times \frac{80}{100} = 480 \\ = 480 \times \frac{10}{8} \\ x = 600[/tex]

Brainliest please~

Answer:600

Step-by-step explanation:

by taking total number of pupils x

80/100×x=480

48000/80=600

x=600

Answer:

1/4 * 2/3 = 2/12 = 1/6 = .1666 = 16.6%

Step-by-step explanation:

If she already has 12 signatures: 60 - 12 = 48

48/3 = 16

so, she and her friends need at least 16 signatures each.

p being person;

p [tex]\geq[/tex] 16 (p has to be greater or equal than 16)

Answer:

False

Step-by-step explanation:

The (a+b)^2 = a^2+2ab+b^2 formula isn't in this expression.

Answer:

False

Step-by-step explanation:

(X+y)^2 = x^2 + 2xy + y^2

First you expand and then distribute

The rule is:

(a+b) ^2 = a^2 + 2ab + b^2

Answered by Gauthmath

Answer:

8,1,-6

Step-by-step explanation:

8 + (-7)

= 8-7 = 1

1 + (-7) = 1 - 7 = -6

The first three terms are 8, 1,-6

Answered by Gauthmath