Ask question

Ask question

All categories

3 years ago

8

Monique needs to buy a baseball for $20, a soccer ball for $15, and a set of tennis balls for $12.

1 answer:

defon3 years ago

6 0

Let's simplify step-by-step.<span><span><span><span>(<span>1−x</span>)</span><span>(20)</span></span>+<span><span>(<span>1−y</span>)</span><span>(12)</span></span></span>+<span><span>15<span>(<span>1−z</span>)</span></span><span>(<span><span>20+15</span>+12</span>)</span></span></span>Distribute:<span>=<span><span><span><span><span><span><span><span>(1)</span><span>(20)</span></span>+<span><span>(<span>−x</span>)</span><span>(20)</span></span></span>+<span><span>(1)</span><span>(12)</span></span></span>+<span><span>(<span>−y</span>)</span><span>(12)</span></span></span>+<span><span>(<span>15<span>(<span>1−z</span>)</span></span>)</span><span>(20)</span></span></span>+<span><span>(<span>15<span>(<span>1−z</span>)</span></span>)</span><span>(15)</span></span></span>+<span><span>(<span>15<span>(<span>1−z</span>)</span></span>)</span><span>(12)</span></span></span></span><span>=<span><span><span><span><span><span><span><span><span><span><span><span><span><span>20+</span>−<span>20x</span></span>+12</span>+</span>−<span>12y</span></span>+</span>−<span>300z</span></span>+300</span>+</span>−<span>225z</span></span>+225</span>+</span>−<span>180z</span></span>+180</span></span>Combine Like Terms:<span>=<span><span><span><span><span><span><span><span><span>20+<span>−<span>20x</span></span></span>+12</span>+<span>−<span>12y</span></span></span>+<span>−<span>300z</span></span></span>+300</span>+<span>−<span>225z</span></span></span>+225</span>+<span>−<span>180z</span></span></span>+180</span></span><span>=<span><span><span><span>(<span>−<span>20x</span></span>)</span>+<span>(<span>−<span>12y</span></span>)</span></span>+<span>(<span><span><span>−<span>300z</span></span>+<span>−<span>225z</span></span></span>+<span>−<span>180z</span></span></span>)</span></span>+<span>(<span><span><span><span>20+12</span>+300</span>+225</span>+180</span>)</span></span></span><span>=<span><span><span><span>−<span>20x</span></span>+<span>−<span>12y</span></span></span>+<span>−<span>705z</span></span></span>+737</span></span>Answer:<span>=<span><span><span><span>−<span>20x</span></span>−<span>12y</span></span>−<span>705z</span></span>+737</span></span>

You might be interested in

How many ordered quadruples (w, x, y, z) of positive odd integers are there

guajiro [1.7K]

Answer:

165

Step-by-step explanation:

6 0

3 years ago

What’s the rate of change of y=1.5x-2

mars1129 [50]

Answer:

1.5

Step-by-step explanation:

The rate of change is also the slope or m. This equation is in slope intercept form which is y=mx+b. m is the rate of change. m=1.5.

4 0

4 years ago

What is the next number in this geometric sequence?

Anna11 [10]

Answer:

C. -262.44

Step-by-step explanation:

-3.24, 9.72,-29.16, 87.48

-3.24*-3= 9.72, 9.72*-3= -29.16, -29.16*-3= 87.48

the rule for this sequence is multiplying by -3

87.48*-3= -262.44

8 0

3 years ago

Find the area enclosed by the x-axis and the curve x = 4 + et, y = t âˆ’ t2.

Dominik [7]

Find where the curve intersects the <em>x</em>-axis; this happens when <em>y</em> = 0:

<em>y</em> = <em>t</em> - <em>t</em> ² = 0 → <em>t</em> (1 - <em>t</em> ) = 0 → <em>t</em> = 0, <em>t</em> = 1

Then the area of the bounded region is

$\displaystyle\int_0^1 y(t) x'(t)\,\mathrm dt=\int_0^1 (t-t^2)e^t\,\mathrm dt=\boxed{3-e}$

(you can compute the integral by parts)

7 0

3 years ago

Write an inequality for each of the following:

laila [671]

Answer:

$1.\ \ \frac{x}{24}$

Step-by-step explanation:

1. let x be the unknown number.

-Given that 24 divided by x is less than x is less than 7 means that 7 is greater than the quotient thereof.

-The in equality is written as:

$\frac{x}{24}$

2.Let the amount Chris has be y.

-At most is a term of inclusivity implying less than or equal to a specified quantity.

-$5 less than twice y will therefore be represented as:

$2y-5\leq 124$

3. It is clear that the minimum age to have a drivers license is 16.

-Let x be the age of a driver whose age is unknown.

-It is therefore obvious that all drivers in Ohio are either exactly 16 years or older.

-Our inequality symbol is that of equal to or greater than, thus:

$x\geq 16$

4. let x be the number of CD's bought and y of DVD's bought.

-CD's are priced at $14 each and DVD's at $16 each, given a budget of $65.

-They can only buy a number of units whose price is less than or exactly $65, thus:

$14x+16y\leq 65$

7 0

4 years ago