Tomas bikes 3 3/4 miles each morning and 2 1/2 miles each afternoon

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3.  Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)

Answer:

Let the first integer be 'n.' Then n(n+2)+38=(n+2)^2. Solve using the quadratic equation: n=17. The two odd integers are 17 and 19.

Step-by-step explanation:

The integers are -39 and -38.

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

Given;

The product of two consecutive positive odd integers is 38 less than the square of the greater integer

Now, let the numbers be x and x+

So, the equations will be

x(x+1)-38=(x+1)^2

x^2+x-38=x^2+1+2x

x=-39

x+1=-38

Therefore, the integer numbers will be -39 and -38.

Learn more about numbers here;

https://brainly.com/question/3151755

#SPJ2

Answer:

add 7+5 and 3+9 and then subtract both answers together and the answer you get should be the answer if the degree

Answer:

c = 60°

Step-by-step explanation:

Since the measures are among a 90° angle, we need to subtract 30° from 90° which equals 60°

c = 60°

Step-by-step explanation:

creo..... que es la z ...

Answer:

should be 3/7 I think that's right

Answer:

Your welcome! :)

Step-by-step explanation:

17: 35000

18: 0.0029

19: 0.000003

20: 1.5

Answer:

4.75

Step-by-step explanation:

Divide 28.5 evenly with 6 because thee are 6 bottles. Then you receive 4.75

Hope this helps

Answer:

x = 5

Step-by-step explanation:

9 - 2x = - 1

9 + 1 = 2x

10 = 2x

x = 5

Answer:

hope it helps

have a good day

Step-by-step explanation:

q

Answer:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

Step-by-step explanation:

Given

[tex]\log_{3} ({5\sqrt{x}} * y )[/tex]

Required

Write as sum or difference

Using addition law of logarithm, the equation becomes:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5\sqrt{x}) +\log_{3}( y )[/tex]

Expand

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5 * \sqrt{x}) +\log_{3}( y )[/tex]

Apply addition law

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

Answer:

a

Step-by-step explanation:

because

Answer:The equation that is given, h = –16t 2 + 64t + 8, represents the general formula of the motion which is h(t) = h0 + v0t - 16t² where h0 is the initial height (8 feet), v0 is the initial velocity  (+64 ft/s) and t is time in seconds. To determine the time when the ball is at the maximum height, we need to determine the vertex of the parabola which is done as follows:

vertex = time at maximum height = -b/2a = -64 / 2(-16) = 2 seconds

The maximum height can be calculated by substituting the time we obtained to the function.

h = –16t 2 + 64t + 8

h = –16(2)^2 + 64(2) + 8 = 72 feet

Step-by-step explanation:

Answer:

[tex]S' = (-5,-5)[/tex]

[tex]Q"=(-5,-5)[/tex]

Step-by-step explanation:

Given

[tex]S = (5,-5)[/tex]

[tex]Q= (5,5)[/tex]

Solving (a): Reflect S across y-axis

The rule to reflect across y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]S(5,-5) \to S'(-5,-5)[/tex]

Hence:

[tex]S' = (-5,-5)[/tex]

Solving (b): Reflect Q across x and y-axis

The rule to reflect across x-axis is:

[tex](x,y) \to (x,-y)[/tex]

So:

[tex]Q(5,5) \to Q'(5,-5)[/tex]

The rule to reflect across y-axis is:

[tex](x,y) \to (-x,y)[/tex]

So:

[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]

Hence:

[tex]Q"=(-5,-5)[/tex]

i dont get it either

Step-by-step explanation:

(a) 8:30 am

(b) 17 minutes

(c) 10:15

Answer:

In 12 days the stock will be worth $ 76.55.

Step-by-step explanation:

Given that a certain stock opens with a price of $ 0.59, and over the first three days the stock value increases at an average rate of 50% per day, to determine, if this trend continues, how much will the stock be worth in 12 days the following calculation must be performed:

Initial value x rate of increase ^ number of years = X

0.59 x 1.5 ^ 12 = X

0.59 x 129.74 = X

76.55 = X

Therefore, in 12 days the stock will be worth $ 76.55.

Answer:

Y = 2

X = 3

Step-by-step explanation:

Substitution:

6(4y-5) - y = 16

24y-30-y=16

23y=46

Y = 2

So then:

6x-2 = 16

6x = 18

X = 3

on number 5 question the answer is 4,5,9

Step-by-step explanation:

it is because a right triangle is composed of 3 different sides (hypothenus, opposite angle and adjacent angle)

Answer:

5) B. 10, 24, 26

6) k = 8.5

Step-by-step explanation:

5) The a and b in context of the triangle have to be greater than the hypotenuse. It can’t equal the hypotenuse. 10 + 24 = 34, 34 > 26 Therefore our answer.

6) Our equation: c = sqrt of a^2 + b^2

C = sqrt of 3^2 + 8^2

*A= 3 B = 8*

C = sqrt of 9 + 64

C = square root of 73

C = 8.54 or 8.5

Giving our answer:

You could always check by listing the values of each side:

A=3 B=8 C=8.5

3, 8, 8.5

And up A and B: 3 + 8 = 11

11 > 8.5

Proving this is a right triangle!

Btw sqrt means square root! ;)

Hope this helps, good luck! :)

Answer:

0.4 (decimal)

4/9 (fraction)

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability a red marshmallow is picked = number of red marshmallows in the bag / sum of marshmallows in the bag

sum of marshmallows in the bag = 12 + 16 + 8 = 36

Probability a red marshmallow is picked = 16/36

To transform to the simplest form. divide both the numerator and the denominator by 4

= 4/9

to convert to decimal, divide 4 by 9 = 0.4444

0.4 to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

I believe the answer is A

Step-by-step explanation:

Answer:

16-31     20, 18,25,28,31,23,19,27,22,25,20     11

32-47      33,42,36,41,47     5

48-65     65,52,61,50     4

Step-by-step explanation:

Answer:

7.5e-5

Step-by-step explanation:

Answer:

72 mins

Step-by-step explanation:

12 mins = 4 tortillas

1 tortilla = 3 mins

3x24=72

72 mins

Answer:

72 minutes

1 hour and 12 minutes

Step-by-step explanation:

[tex]\frac{4}{12}: \frac{24}{y}[/tex]

4 × y = 12 × 24

4y = 288

4y ÷ 4 = 288 ÷ 4

y = 72

Answer:

The flag pole is 38.96 feet tall.

Step-by-step explanation:

The angle of depression from the top of the flagpole to an object on the ground is 33°.

The object is 60 feet from the base of the cliff.

We need to find the height of the flag pole.

Here, base, B = 60 feet

We know that,

[tex]\tan\theta=\dfrac{P}{B}[/tex]

Put all the values to find P.

[tex]P=B\times \tan\theta\\\\P=60\times \tan(33)\\\\P=38.96\ ft[/tex]

So, the flag pole is 38.96 feet tall.

Answer:

2x+y=4

2times-1 is -2

2x+-2=4

2x=4

x=2

Answer:

b=36 and c=144

Step-by-step explanation:

b+144=180, b=36

b+c=180, c=180-36=144

Answer:

[tex] \frac{15 \sqrt{209} }{209} [/tex]

Step-by-step explanation:

Objective: Understand and work with trig identies.

Recall multiple trig identies and manipulate them to get from cosecant to secant.

Given

[tex] \csc(a) = \frac{60}{16} [/tex]

Apply reciprocal identity csc a = 1/sin a.

[tex] \sin(a) = \frac{16}{60} [/tex]

Apply pythagorean identity to find cos a.

[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]

[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]

[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]

We can simplify both expression

[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]

[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]

Cosine is positve on quadrant 1 so that cos(a)

Apply reciprocal identity sec a= 1/ cos a.

The answer is

[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]

Rationalize the denominator.

[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]

Answer:

Step-by-step explanation:

The formula for this is:

6(6 + x) = 3(3 + 25) and

6(6 + x) = 3(28) and

36 + 6x = 84 and

6x = 48 so

x = 8

Answer:

(y+8)(y+2)

Step-by-step explanation:

y^2 + 10y + 16

What two numbers multiply to 16 and add to 10

8*2 = 16

8+2 =10

(y+8)(y+2)

Answer:

-74 10/5

Step-by-step explanation:

first you will write the decimal number in fraction form which will be,

-74.5 = -745/10

now, on diving we will get,

74 as quotient and 5 as remainder, 10 as divisor.

now mixed fraction is, quotient divisor/remainder

the answer will be -74 10/5

•you can solve it to get the fraction you got previously as, =(-74 X10 + 5)/5 you will get the fraction in question.

I got a little help from my tutors at Gauthmath app, you can get it too. I would suggest you this app. really cool app.

Hope my answer helps.