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3 years ago

Solve the system 5x+3y=-9 & -2+y=8

Mathematics

1 answer:

Illusion [34]3 years ago

5 0

X=-39/5 and y=10 :) i hope this helps you out !

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The ratio of lime juice to soy sauce in a salad dressing is 8: 9 .The total of both ingredients is 51 tablespoons . How many tab

Anna35 [415]

47 table spoons would be the answer

5 0

2 years ago

What is the answer for number 8 and pls give step by step

Pie

Answer:

Trapezoid 1 (left side):

Base 1 = 2

Base 2 = 5

Trapezoid 2 (right side):

Base 1 = 6

Base 2 = 8

Step-by-step explanation:

<u>1st trapezoid:</u>

b_1 = x

b_2 = x + 3

h = 4

Hence, area (from formula) would be:

$A=\frac{h}{2}(b_1+b_2)\\A=\frac{4}{2}(x+x+3)\\A=2(2x+3)\\A=4x+6$

<u>2nd trapezoid:</u>

b_1 = 3x

b_2 = 4x

h = 2

Putting into formula, we get:

$A=\frac{h}{2}(b_1+b_2)\\A=\frac{2}{2}(3x+4x)\\A=1(7x)\\A=7x$

Let's equate both equations for area and find x first:

$4x+6=7x\\6=7x-4x\\6=3x\\x=\frac{6}{3}\\x=2$

We can plug in 2 into x and find length of each base of each trapezoid.

Trapezoid 1 (left side):

Base 1 = x = 2

Base 2 = x + 3 = 2 + 3 = 5

Trapezoid 2 (right side):

Base 1 = 3x = 3(2) = 6

Base 2 = 4x = 4(2) = 8

8 0

3 years ago

Moby sold half his toy car collection, and then bought 12 more cars the next day. He now has 48 toy cars. How many cars did he h

castortr0y [4]

Answer: 72 cars.

Step-by-step explanation:

Let be "x" the number of toys that Moby had to start with.

According to the information given in the exercise, Moby sold half his toy car collection. This can be represented with the following expression:

$\frac{1}{2}x$

Then he bought 12 more cars, giving a total amount of 48 toy cars.

Therefore, the equation that represents this situation is the equation shown below:

$x-\frac{1}{2}x+12=48$

Now you must solve for "x" in order to find its value.

You get that this is:

$\frac{1}{2}x+12=48\\\\\frac{1}{2}x=48-12\\\\\frac{1}{2}x=36\\\\x=(36)(2)\\\\x=72$

7 0

3 years ago

Carmen received an $80 gift card for a coffee store. She used it in buying some coffee that cost $7.74 per pound. After buying t

vampirchik [111]

First find out how much money she spent by doing 80 (original amount) - 33.56 (amount after spending): $46.44
Now she spent 46.44 dollars and each pound is 7.74:
46.44 / 7.74 = 6
She bought 6 lbs

7 0

3 years ago

Joe has a bag containing 8 red sweets, 9 yellow ones and 11 green. He takes out a sweet and eats it, he takes out a second sweet

gizmo_the_mogwai [7]

Answer:

2/27

Step-by-step explanation:

This is a probability question and we are asked to estimate a particular probability. We proceed as follows:

The total number of sweets is given as 8 + 9+ 11= 28 sweets

He takes out a sweet to eat, the probability of this being a red sweet would be P(r1) = 8/28 = 2/7

Now he takes another sweet, we are asked to calculate the probability that this sweet is also red. Now after taking the first sweet, the number of sweets is now 27, while the number of red sweets is now 7. Hence the probability of having a red sweet taken in the second case would be p(r2) = 7/27

Now, the probability of both being red sweets can be calculated by multiplying both = 7/27 * 2/7 = 2/27

6 0

2 years ago