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Paraphin [41]
3 years ago
12

For free points and a brainliest write an inequality that represents the description, and then solve. (Q5).Dave has $15 to spend

on an $8 book and no birthday cards (c) for his friends. How much can he spend on each card if he buys the same card for each friend?
(Q6).Toni can carry up to 18 lb in her backpack Her lunch weighs 1 lb, her gym clothes weigh 2 lb, and her books (b) weigh 3 lb each. How many books can she carry in her backpack?

we're using the greater than sign and the less than sign please help me solve this. ​
Mathematics
2 answers:
guapka [62]3 years ago
6 0

Answer:

$3.50 per card

Step-by-step explanation:

15 = 8 + 2x

x = 7 / 2

x = 3.50

gavmur [86]3 years ago
5 0

Answer:

each card cost = $3.5

Step-by-step explanation:

to spent $15 = $8 + 2cards

$15 = $8 + 2C

$15 - $8 = 2C

$7 = 2C

C = $7 / 2

C = $3.5

therefore each card cost = $3.5

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A magician charges parties a $30 fee to cover travel and miscellaneous expenses plus $19.99 per hour. What an equation for that?
myrzilka [38]

Answer:

30 + 19.99 per hour

Step-by-step explanation:

ADD THEM IN A EQUATION.

SO SIMPLE TO DO THAT!

7 0
3 years ago
Read 2 more answers
Find the gradient of the line segment between the points (-3,3) and (4,4).
ElenaW [278]

Answer:

2.

Step-by-step explanation:

The gradient or slope of a straight line which is found between two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

Where y2 = 7

y1 = 3

x2 = 4

x1 = 2

=> m = (7 - 3) / (4 - 2)

m = 4 / 2 = 2

The gradient is 2.

4 0
3 years ago
Would any three squares<br> form the sides of a right<br> triangle? Explain.
lara [203]
The sum of the areas would be two small squares so no
3 0
3 years ago
Read 2 more answers
Divide the sum of (-5), (-10) and (-9) by the product of 2 and (-3).
kaheart [24]

Answer:

\large \boxed{4}

Step-by-step explanation:

\sf The \ sum \ of \ -5, \ -10, \ and \ -9 \ is \ divided \\ by \ the \ product \ or \ multiplication \ of \ 2 \ and -3.

\displaystyle \frac{-5+-10+-9}{2 \times -3}

\displaystyle \frac{-24}{-6}

=4

6 0
3 years ago
Read 2 more answers
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati
pochemuha

!

Answer:   8 (Pi - sqrt(3))

Discussion:

The area of the shaded region is that of the semicircle minus the area of the triangle..

Area of semicircle = 1/2 * Pi * R^2        

    Where R^2 is the square of the radius of the circle. In our case, R ( = OC)

     = 4 so the semicircle area is

    (1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi

Area of triangle.

   First of all, angle ACB is a right angle ( i.e. 90 degrees).

     * This is the Theorem of Thales from elementary Plane Geometry. *

  so by Pythagoras

    AC^2 + BC^2 = AB^2

 But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).

 Substituting these in Pythagoras gives

    AC^2 + 4^2 = 8^2 or

    AC^2 = 8^2 - 4^2- = 64 - 16 = 48

    Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)

We are almost done! The area of the triangle is given by

   (1/2) b * h = (1/2)  BC * AC = (1/2) 4 * (4 * sqrt(3)) =  8 sqrt(3)

We conclude the area area of the shaded part is

  8 PI - 8 sqrt(3)   = 8 (Pi - sqrt(3))

Note that sqrt(3) is approx  1.7 so (PI - sqrt(3)) is a positive number, as it better well be!

8 0
3 years ago
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