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2 years ago

Yo someone help i'm lost

Mathematics

1 answer:

kompoz [17]2 years ago

5 0

Answer:

convert the task into ratios

(1) if $24 = 4 walks

how many $ for a walk

= (24/4) $/walk

= $6 per walk

•the first one is correct

•the second is wrong, cause it interprete $12/3 walks, which is rationalized to $3 per walk

•the third one is correct, cause it can also be rationalized ($30/5walks) to $6 per walk.

also, rationalizing this would equate to 3 miles per hour (6miles/2hrs)

• one is wrong cause it's 4 miles per hour

•two is correct, it's saying 3 miles per hour (12/4)

• third, likewise is correct 3 miles per hour (9/3) miles/hrs

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Round 3,872.3155 to the nearest hundred

zlopas [31]

Answer:

3,872.32

Step-by-step explanation:

the nearest hundredth is 2 numbers on the right of the decimal sign. So you round up from 5 to get answer above.

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3 years ago

For the expression y + 6-3 determine the coefficient for the variable term. (2 points)

aksik [14]

Answer:

The answer is 1.

Step-by-step explanation:

The number is usually in front of the variable, if there is no number, it is a 1.

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3 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago

How many solutions does a triangle with side lengths a = 4, A = 112º and b = 9 have?

Ainat [17]

Answer:

This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

$\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086$

As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).

Therefore, there is no angle we can find to build a triangle with the given data.

7 0

3 years ago

Find the product.........................

allochka39001 [22]

Answer:

Step-by-step explanation:

To find the answer, you have to multiply each term of the first parenthesis' expression with each term in the next parenthesis' expression. Then combine like terms. So we have:

$(6x^2-6x-5)(7x^2+6x-5)\\=(6x^2)(7x^2)+(6x^2)(6x)+(6x^2)(-5)+(-6x)(7x^2)+(-6x)(6x)+(-6x)(-5)+(-5)(7x^2)+(-5)(6x)+(-5)(-5)\\=42x^4+36x^3-30x^2-42x^3-36x^2+30x-35x^2-30x+25\\=42x^4-6x^3-101x^2+25$

Answer choice B is right.

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2 years ago