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Marta_Voda [28]
3 years ago
11

Please answer both questions and show all your work. Thank you!!! :)

Mathematics
2 answers:
Anna71 [15]3 years ago
7 0

I can answer the first one.

Just do 3150/1000

Mutiply by 4 for rabits and 2 for chickens

nignag [31]3 years ago
4 0

(1) let "r" denote number of rabbits, "c"  number of chickens

Set up the equations:

r + c = 1000\\4r + 2c = 3150\\\\-2r -2c = -2000\\4r + 2c = 3150\\\\2r = 1150\implies r = 575\implies c = 425

Answer: There are 575 rabbits and 425 chickens

(2) m - number of Mike's stamps, a - number of Andrew's stamps.

Set up equations:

m = 4a\\m-8 = 2(a+8)\\\\4a-8=2a + 16\\2a = 24\implies a = 12\implies m = 48\\

Answer:  Mike has 48 stamps. Andrew has 12 stamps.

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Write the rational number as a decimal. Show your work. 5/9 -3/8 -3/11.
Bad White [126]

I have memorized facts about fractions like these, so can tell you ...

\dfrac{5}{9}=0.5\overline{5}\\\\-\dfrac{3}{8}=-3\times 0.125=-0.375\\\\-\dfrac{3}{11}=-0.27\overline{27}

_____

A fraction with 9 as a denominator is a repeating 1-digit decimal with the decimal digit being the numerator of the fraction.

A fraction with 11 as a denominator is a repeating 2-digit decimal with the two digits being 9 times the numerator of the fraction.

1/8 = 0.125, so any multiple of 1/8 is that multiple of 0.125.

4 0
3 years ago
Plz help me Jen can jump rope 80 times in 60 seconds. If she jumps at a constant ratio of seconds to jumps, how many jumps can s
uysha [10]

Answer:

The answer is 4

Step-by-step explanation:

You just divide 80 by 15.

3 0
2 years ago
An Ivy League college accepts 5 students for every 100 that apply. What fraction of applicants is accepted? Write your results i
Law Incorporation [45]

Hello there!

To find the fraction of applicants that are accepted into the Ivy League college, all you have to do is put the number of students accepted (numerator) over the total number of students that apply (denominator). This makes the fraction 5/100. This fraction can be simplified. To simplified, find the GCF of the two numbers. The GCF of 5 and 100 is 5. Divide both parts by 5. 5/100 ÷ 5/5 is 1/20. There. 5/100 is 1/20 in simplest form. The Ivy League college accepts 1/20 of it's applicants.

6 0
3 years ago
Find the vertex of this parabola:<br> y = -x2 - 6x - 10
MAVERICK [17]

Answer:-10

Step-by-step explanation: The slope-intercept form is

y

=

m

x

+

b

y

=

m

x

+

b

, where

m

m

is the slope and

b

b

is the y-intercept.

y

=

m

x

+

b

y

=

m

x

+

b

Find the values of

m

m

and

b

b

using the form

y

=

m

x

+

b

y

=

m

x

+

b

.

m

=

−

6

m

=

-

6

b

=

−

10

b

=

-

10

The slope of the line is the value of

m

m

, and the y-intercept is the value of

b

b

.

Slope:

−

6

-

6

y-intercept:

−

10

8 0
3 years ago
Read 2 more answers
If y varies directly as x and y=288 when x=16 determine the value of y when x-13
Ray Of Light [21]
Y = kx is the direct variation equation
Substitute the x and y that are given to find k then write your new equation in terms of y with the k.

288 = k(16) divide by 16 to find k
18 = k
Now write the new equation
y = 18x

y = 18(13) or y = 18(-13) I'm not sure by what you have typed if that is supposed to be and equal sign or a negative.
y = 234 OR y = -234
5 0
3 years ago
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