What value of c makes the statement true? c – (–17.6) = –4

A.
–21.6

B.
–12.4

C.
12.4

D.
21.6

Answers

Answer 1

Answer: $c-(-17.6)=-4\n\nc+17.6=-4\ \ \ \ |subtract\ 17.6\ from\ both\ sides\n\nc=-21.6\n\nAnswer:\boxed{A}$

Answer 2

Answer: $c-(-17.6)=-4 \n\n c+17.6=-4 \n\n c=-4-17.6 \n\n \boxed{c=-21.6\to \ variant \ A}$

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There are 48 students in a school play.The ratio of boys to girl is 5:7.How many more girls than boys are in the play? Explain how you found your answer.
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3. Which word in the sentence is a common noun? She read a book about Abraham Lincoln. A. Abraham Lincoln B. she C. read D. book

Answers

I guess the anwer is book

Please help!What are the coordinates of the fourth point that could be connected with (–4, 7), (3, 7), and (3, –7) to form a rectangle?

A.
(–4, –7)

B.
(–3, 7)

C.
(–7, 4)

D.
(–7, –4)

What is the distance between the points (10, –7) and (10, 9) on the coordinate plane?

What is the perimeter of rectangle ABCD on the coordinate plane?

Answers

First answer is A

Third answer is 98

Hope this helps

for the second question the answer is (0,2)

What is the theoretical probability of a coin landing tails up?

Answers

Answer:

The probability that a fair coin lands tail up is 1/2, which is equal to 0.5.

Step-by-step explanation:

There are two possible outcomes when a coin is flipped (saving for the case when the coin lands on its side.)

The coin lands head-up;
The coin lands tail-up.

If the coin is fair, the two outcomes should be equally likely. In that case, apply the following formula:

$\begin{aligned}&\text{Probability that the coin lands tail-up}\n =&\frac{\text{Number of outcomes that the coin lands tail-up}}{\text{Total Number of equally-likely possible outcomes}}\n=&(1)/(2) \n=& 0.5 \end{aligned}$ .

Credit for the phrasing of this probability formula goes to the Khan Academy article "Probability: the basics".

Answer: 1:2

Step-by-step explanation:

How do you know when the model shows the final solution how do you read the solution

Answers

The final solution should be at the end

Please help also show working out!

Answers

9/4.5=2 . It is 2 boxes wide. 31/6.2=5. It is 5 boxes long. 2x5=10. The tray can hold 10 boxes.

(We don't need volume beause heights are the same)
area of box = 6.2 length * 4.9 width = 30.38^2 cm.
area of tray = 31 length * 9 width = 279^2 cm.

Now to find how many boxes fit in the tray.
279^2 / 30.38^2 = 9.1836734693877551020408163265306
(Round it = 9 boxes)

Hope that helps!

Which quadratic equation has solutions x=8 and x=−1?

Answers

There are two ways you can do this

$<B>Using the formula</B>$

${x}^(2) - (sum \: of \: roots)x + poduct \: of \: roots = 0$

${x}^(2) - (8+-1)x + - 1 * 8 = 0$

${x}^(2) - 7x - 8 = 0$

$<B>Working backwards</B>$

$x = 8 \: or \: x = - 1$
$\Rightarrow x-8=0 \: or \: x+1=0$

$\Rightarrow (x-8)(x + 1)=0$
$\Rightarrow {x}^(2) + x -8x - 8 = 0$
$\Rightarrow {x}^(2) - 7x - 8 = 0$

Final answer:

The quadratic equation which has solutions x=8 and x=-1 is x² - 7x - 8 = 0.

Explanation:

To find the quadratic equation with solutions x=8 and x=-1, we can use the property that in a quadratic equation ax²+bx+c=0, the sum of the roots is equal to -b/a, and the product of the roots is equal to c/a.

As we know the solutions here are x=8 and x=-1, therefore: sum of roots = 8 + (-1) = 7. product of roots = 8 * -1 = -8. Assuming 'a' as 1 (for simplicity), our quadratic equation would be x² - 7x - 8 = 0. So this is the quadratic equation that has solutions x=8 and x=-1.