Choose the repeating decimal that is equal to
the fraction on the left.
0.17
0.351
0.17
0.351
0.351
58
165
79
225
13
37
ОО
ОООО
8
45
ООО
17
99

Answer:

There are 12 horses and 18 geese.

Step-by-step explanation:

We are given that in a field full of horses and geese, a farmer notes that there are 30 heads and 84 feet.

We can write a system of equations using the given information.

Let the amount of horses there are be represented by h and geese by g.

Assuming each horse and geese has only one head, we can write that:

[tex]\displaystyle h + g= 30[/tex]

And assuming that each horse has four feet and each geese has two feet, we can write that:

[tex]4h + 2g = 84[/tex]

This yields a system of equations:

[tex]\displaystyle \left\{\begin{array}{l} h + g = 30 \\ 4h + 2g = 84 \end{array}[/tex]

We can solve it using substitution. From the first equation, isolate either variable:

[tex]g = 30 - h[/tex]

From the second, we can first divide by two:

[tex]2h + g = 42[/tex]

And substitute:

[tex]2h + (30 - h) = 42[/tex]

Combine like terms:

[tex]h + 30 = 42[/tex]

Subtract:

[tex]h = 12[/tex]

Therefore, there are 12 horses.

And since the total number of animals is 30, there must be 30 - 12 or 18 geese.

In conclusion, there are 12 horses and 18 geese.

Answer:

m<ABC = 92

Step-by-step explanation:

(3x + 23) and 4x are equal angle wise. So we have the equation:

(3x + 23) = 4x

3x = 4x - 23

-x = -23

x = 23

Multiply x by 4 which is 92

Answer:

[tex]a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]

Step-by-step explanation:

[tex]y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]

Answer:

The number is 2

Step-by-step explanation:

x * 16 + 4 = 9*4

x * 16 + 4 = 36

x * 16 + 4 - 4 = 36 - 4

x * 16 = 32

x * 16 / 16 = 32 / 16

x = 2

Answer:

The number is 2

Step-by-step explanation:

let the number be "a"

16a+4=4×9

16a+4=36

16a=36-4

16a=32

a=2

9514 1404 393

Answer:

  Each colored block in Figure 20 will be a 20×20 square of smaller squares of the same color. The red-green pattern will be identical.

Step-by-step explanation:

Each colored block in Figure N is an N×N array of small blocks the same color. The pattern of red and green N×N blocks is the same from one figure to the next. We expect Figure 20 to fit this description.

Answer:

C.

$634.87

Step-by-step explanation:

A=500×(1+0.04÷4)^(4×6)

A=634.87

Step-by-step explanation

Then you count how many numbers are after the decimal point(6,0,0,5) making 4. So the decimal point will be inserted by counting 4 spaces from the back.

Answer:

x = 43°

Step-by-step explanation:

59 + 78 + x = 180

137 + x = 180

(137 - 137) + x = 180 - 137

x = 43°

Answer:

The choose D. y=|x|–1

Your choice is right

I hope I helped you^_^

Answer:

7/50

Step-by-step explanation:

7 divided by 50 equals 0.14 in decimal format.

Answer:

The midpoint is -4

Answer:

The answer is $194

Step-by-step explanation:

Answer:

the answer is 1787742.5

Step-by-step explanation:

this is usually a calculator question so use a calculator and put 1/2 ×1315×2719

Answer:

If we divide 360 degree into four parts the all four parts hold 90 degree and the degree of angle DMB= 60.

60 degree.

Answer:

Jerry, Antonio, Jenny

Step-by-step explanation:

To solve this, we can represent the numbers as fractions, make them have one common denominator, and go from there

First, we can represent these as fractions:

Jenny:

four-fifths = 4/5

Antonio:

seven-eighths = 7/8

Jerry:

three-fourths = 3/4

Next, we can find the lowest common multiple. We can do this by listing the multiples of each number until something is in common for all 3

4:

4, 8, 12, 16, 20, 24, 28 ,32, 36, 40, 44, 48

8:

8, 16, 24, 32, 40, 48, 56, 64

5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60

One number that is in common is 40.

Our next step is to find out what we need to multiply each number by to equal 40. We can do this via division.

4:

40/4 = 10

8:

40/8 = 5

5:

40/5 = 8

Next, we can multiply the numerator and denominator by the same number, essentially multiplying it by 1. For example, 4/5 * 5/5 = 20/25, which is still equal to 4/5 because 5/5 = 1 and multiplying any number by 1 keeps it the same.

3/4 * 10/10 = 30/40

7/8 * 5/5 = 35/40

4/5 * 8/8 = 32/40

We can see that 3/4 (Jerry) is the lowest, 7/8 (Antonio) is the highest, and 4/5 (Jenny) is in the middle

Answer:

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh

[tex]p(pressure) = s(atmospheric \: pressure) + d(density \: of \: the \: liquid)g(acceleration \: due \: to \: gravity)h[/tex]

Step-by-step explanation:

where s is the atmospheric pressure, d is the density of the liquid and g is the acceleration due to gravity.

Answer:

$70

Step-by-step explanation:

Find how much money she has left by subtracting 30 from 100:

100 - 30

= 70

So, she has $70 left in her balance.

Answer:

Approx 5.64 hours

Step-by-step explanation:

d=rt

t=d/r

To find the time, divide distance by velocity

1240 / 220 = approx 5.64 hours

Answer:

1/6

Step-by-step explanation:

Answer:

2k-15=15

Step-by-step explanation:

product if 2 and k is 2k

15 less than 2k is 2k-15

15<(2xk)

k = 15

2x15=30

15<30

hope this helps :)

Answer:

[tex]\frac{9}{14}[/tex]

Step-by-step explanation:

1. Add two fractions together.

[tex]\frac{3}{7}[/tex] + [tex]\frac{6}{7}[/tex] = [tex]\frac{9}{7}[/tex]

2. Divide by 2.

[tex]\frac{9}{7}[/tex] ÷ 2 = [tex]\frac{9}{14}[/tex]

9514 1404 393

Answer:

  4n

Step-by-step explanation:

For positive multiple number 'n', the value is 4n.

  a[n] = 4n . . . . . where a[n] is the n-th term of the sequence

Answer:

an = 4n

Step-by-step explanation:

got it right on test

Answer:

44 cm

Step-by-step explanation:

So we know that the bottom 12 is congruent to to the line at the top, so that is also 12. And the 5 is congruent to the other 3 lines with one hash mark going through it. So perimeter is the sum of all the side lengths on a polygon. So we have 12+12+5+5+5+5=44.

Hope this helps! :D

Answer:

Step-by-step explanation:

The rational expressions that sum to  [tex]\frac{2x+3}{(x+3)(x-5)} = \frac{2x}{(x+3)(x-5)} + \frac{3}{(x+3)(x-5)}[/tex]

The given expression is:

[tex]\frac{2x+3}{x^2-2x-15}[/tex]

Factorize the denominator

[tex]x^2-2x-15\\x^2-5x+3x-15\\x(x-5)+3(x-5)\\(x+3)(x-5)[/tex]

The given expression therefore becomes:

[tex]\frac{2x+3}{(x+3)(x-5)}[/tex]

This can be split into the sum:

[tex]\frac{2x+3}{(x+3)(x-5)} = \frac{2x}{(x+3)(x-5)} + \frac{3}{(x+3)(x-5)}[/tex]

Learn more here: https://brainly.com/question/17103002

Answer: 2x+3/x^2-2x-15 = 13/8(x-5) + 3/8(x+3)

Step-by-step explanation: I took the test and used the answer above and got the answer wrong, then the test gave me this answer:

16/9.................

Answer:

16/9

Step-by-step explanation:

Answer:

16x^2+11x

Step-by-step explanation:

(5x² – 3x + 7x) + (9x² + 2x² + 7x)

Combine like terms

5x^2+9x^2+2x^2-3x+7x+7x

16x^2+11x