1.)Which equation will result if the substitution method is used to solve the following system of linear equations?

Astrid wants to buy pumpkins and watermelons. She wants to buy more than 10 fruits, and she has a

Stolb23 [73]

Answer:

Buying 7 pumpkins and 3 watermelons, Astrid doesn't meet her two expectations.

Step-by-step explanation:

Let

P ----> the number of pumpkins and watermelons she can buy

W ----> the number of watermelons she can buy

we know that

$P+W > 10$ ----> inequality A

$5.5P+3.5W < 117$ ---> inequality B

Note Both inequalities are given in the problem

If Astrid buy 7 pumpkins and 3 watermelons

then

we have the ordered pair (7,3)

Remember that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

For P=7, W=3

Verify Inequality A

$P+W > 10$

substitute the value of P and the value of W

$7+3 > 10$

$10 > 10$ ----> is not true

so

The ordered pair not satisfy the inequality A

Verify Inequality B

$5.5P+3.5W < 117$

substitute the value of P and the value of W

$5.5(7)+3.5(3) < 117$

$49 < 117$ ----> is true

so

The ordered satisfy the inequality B

therefore

Buying 7 pumpkins and 3 watermelons, Astrid doesn't meet her two expectations.

8 0

3 years ago

Please help!! I really need it Will mark brainliest

Fittoniya [83]

Answer:

The last one and the second one

Step-by-step explanation:

7 0

3 years ago

What best explains whether a triangle with side links 5 cm 13 cm and 12 cm is a right triangle

Lostsunrise [7]

Step-by-step explanation:

Pythagoras Theorem

If the sum of the squares of the smaller two sides is equal to the square if the third side then it is a right triangle

${a}^{2} + {b}^{2} = {c}^{2}$

So, (5)^2 + (12)^2

is 25 + 144 = 169

Which is equal to (13)^2 which is also 169

The sides of the given triangle follows pythagoras theorem, therefore it is a right triangle

Hope it helps:)

4 0

3 years ago

Read 2 more answers

Five eights of he prizes at the giant spin were dolls. if there were 64 prizes how may prizes were dolls?

Elden [556K]

40 prizes were dolls : divide 64 by 8 and you get 8. then multiply 8 by 5 and get 40

3 0

4 years ago

I am so confused pls help me because I can't see what she did wrong.

mixas84 [53]

Answer:

Fatima's mistake was in the first step.
She incorrectly subtracted 0.454 - 0.02.
Fatima has 0.395 rose petals left.

Step-by-step explanation:

Here is how it should've been:

Step 1:

0.454 - 0.02
= 0.434

Step 2:

0.434 + 0.056
= 0.490

Step 3:

0.490 - 0.095
= 0.395

The actual answer is 0.395.

8 0

2 years ago