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Murljashka [212]
3 years ago
15

How to slove with systems of equations

Mathematics
1 answer:
juin [17]3 years ago
8 0

Answer:

$3 for Syd and $5 for Mark

Step-by-step explanation:

when Mark worked 8 hours and Syd worked 10 hours they earned $80

when Mark worked 9h Syd worked 5h they earned $65

we can make a equation out of these information

8M + 10S = $80

9M + 5S = $65 we can use the systems of equations by eliminating method

multiply second equation by -2

-2 × (9M + 5S) = $65

-18M - 10S = -$130 now add up the new equation with the first one

8M + 10S - 18M - 10S = $80 - $130 (10S will eliminate -10S)

-10M = -$50

10M = $50

M = $5

we can use hourly rate we found for M (Mark) to find the hourly rate for S (Syd)

9×5 + 5S = $65

45 + 5S = $65

5S = $15

S = $3

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100 POINTS FOR WHO EVER SHOWS THE WORKS AND ANSWERS CORRECTLY. LEGIT 4 QUETIONS BUT MUST SHOW WORK!!
lianna [129]

Step-by-step explanation:

Hey there!

1.》 Let the unknown angle be 'x'.

Now,

x+ 29° + 105° = 180° [ Sum of interior angle of a triangle is 180°]

x = 180° - 134°

x = 46°

Therefore the missingangle is 46°.

2.》Angle 1 = 78° + 55° [ Exterior angleis equal to the measure of adjacent interior angle]

angle 1 = 133°

Therefore the measure of angle 1 is 133°.

3.》Angle 2 + 55° + 78°= 180° [ Sum of interior angle of a triangle is 180°]

angle 2 = 180° - 133°

angle 2 = 47°

Therefore the measure of angle 2 is 47°.

4.》It's is obvious that the measure of exterior angle is equal to opposite adjacent interior angle of a triangle.

See in picture;;; for more description for no.4.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
Alejandra's Tapas Bar offers a menu consisting of $9$ savory and $5$ sweet dishes. You can also get a mix-and-match plate consis
Mariana [72]

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by p_1, p_2,...,p_9, and all the sweet dishes by q_1,q_2,...,q_5.

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with q_1 from sweet plates which are (q_1, p_1), (q_1, p_2), ..., (q_1,p_9).

There are 9 plates with q_2 from sweet plates which are  (q_2, p_1), (q_2, p_2), ..., (q_2,p_9).

Similarly, there are 9 plated for each q_3, q_4 and q_5.

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

= 9+9+9+9+9= 9\times5=45

7 0
3 years ago
Need help with this right now
jenyasd209 [6]

Answer:

A = (2x+1)(3x+4)

Step-by-step explanation:

Area is length × height

4 0
3 years ago
 The rabbit population in a certain area is 500​% of last​ year's population. There are 700 rabbits this year. How many were the
Ksenya-84 [330]

For this case we have the following data:

700 rabbits that represent 500% of the population of last year. So, to obtain the rabbit population of last year, we developed a rule of three:

700 -----------> 500%

x ---------------> 100%

Where x represents the rabbit population of last year.

Clearing x we have:

x = \frac{ 100 * 700}{500}

x = 140 rabbits

In this way, last year there was a population of 140 rabbits.

Answer:

140 rabbits


8 0
3 years ago
How do you simplify -3 1/2- -12 1/4
astraxan [27]

To make the problem simpler, turn it to an improper fraction.

-7/2--49/48

-7/2+49/48

They have to have same dnominator to add.

-168/48+49/48

-119/48

8 0
3 years ago
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