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3 years ago

(20 points)

Mathematics

2 answers:

Nuetrik [128]3 years ago

8 0

Answer:

the answer is B. 99x + 84 ≥ 1,150

Step-by-step explanation:

the total price of the shirts was 84 dollars

the price of the watches was 99 each which is 99x

and it has to be less than 1150 or equal to that amount otherwise she would go over her savings

Tanya [424]3 years ago

7 0

Answer:

99x + 84 ≤ 1,150

Step-by-step explanation:

Given,

The cost of the shirt she bought = $ 84,

Also, the cost of each watch she bought = $ 99,

Suppose she bought x watches,

So, the cost of x watches = 99x dollars,

Thus, her total spending = 84 + 99x

Since, she has a budget of $ 1,150,

That is, her spending can not be exceed $ 1,150, ( or spending must be less than or equal to $ 1150 )

⇒ 99x + 84 ≤ 1,150

Which is the required inequality.

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If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?

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Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

$(C_x,C_y)$ ----> coordinates of point C

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The horizontal distance AB is equal to

$AB_x=10-2=8\ units$

The vertical distance AB is equal to

$AB_y=10-4=6\ units$

Find the horizontal coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

$\frac{AC_x}{CB_x}=\frac{3}{1}$

$AC_x=3CB_x$ ----> equation A

$AC_x+CB_x=8$ ----> equation B

substitute equation A in equation B

$3CB_x+CB_x=8$

$4CB_x=8\\CB_x=2$

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$C_x=A_x+AC_x=2+6=8$

Find the vertical coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

$\frac{AC_y}{CB_y}=\frac{3}{1}$

$AC_y=3CB_y$ ----> equation A

$AC_y+CB_y=6$ ----> equation B

substitute equation A in equation B

$3CB_y+CB_y=6$

$4CB_y=6\\CB_y=1.5$

$AC_y=3(1.5)=4.5$

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

$C_y=A_y+AC_y=4+4.5=8.5$

therefore

The coordinates of point C are (8,8.5)

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3 years ago