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3 years ago

Braden has $75 to spend for t shirts online. If shipping is $3 , how many " t" t shirts can he buy if theshirts cost $ 8?

Mathematics

1 answer:

inysia [295]3 years ago

7 0

Answer:

9 tshirts

Step-by-step explanation:

Money he had for t shirts= $75

Cost of shipping= $3

Money left for t shirts= $75-$3=$72

Cost of 1 t shirt= $8

We can find the answer with two ways:

1st way: tshirts of $8=1

tshirts of $72=72/8

=$9

2nd way: Cost ($) 8 72

T shirts 1 x

8/1=72/x

by cross multiply

x=72/8

x=9

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For each set of three lengths determine if they can be the side lengths of a triangle

Luden [163]

Answer:

1) Yes

2) No

3) Yes

4) Yes

Step-by-step explanation:

Remember the rule: the sum of the two shortest sides must be bigger than the longest side. From there, the answers should be obvious. Just add up the smallest sides for each triplet of lengths and see if that is bigger than the largest side.

7 + 14 > 18, therefore this can be a triangle

3 + 8 < 17, therefore this can't be a triangle

3.2 + 9.0 > 11.5, therefore this can be a triangle

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2 years ago

If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)

Luda [366]

The value of (f-g)(144) is 0

Step-by-step explanation:

We are given:

$f(x)=\sqrt{x}+12\,\,and\,\,\\ g(x)=2\sqrt{x}$

We need to find value of (f-g)(144)

We will put x=144 for both f(x) and g(x)

$(f-g)(144)=f(144)-g(144)\\=\sqrt{144}+12-(2\sqrt{12})\\=12+12-(2(12)\\=24-24\\=0$

So, the value of (f-g)(144) is 0

Keywords: Composite Functions

Learn more about Composite Functions at:

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3 years ago

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yarga [219]

Answer:

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Step-by-step explanation:

In g(8) the 8 = n. So, substitute 8 in for n in the expression -4n + 2

g(8) = -4(8) + 2 = -32 + 2 = -30

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3 years ago

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3 years ago

Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the

Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

$f(x) = 490 * 0.88^x$

Leo

$x \to g(x)$

$0 \to 480$

$2 \to 360$

$4 \to 470$

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

$f(x) = 490 * 0.88^x$

$f(0) = 490 * 0.88^0$

$f(0) = 490 * 1$

$f(0) = 490$

From Leo's table

$g(0) = 480$

By comparison;

$f(0) > g(0)$

i.e.

$490 > 480$

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

$y = ab^x$

Where:

$b \to rate$

For Tonya

$b = 0.88$

For Leo, we have:

$(x_1,y_1) = (0,480)$

$(x_2,y_2) = (2,360)$

So, the equation becomes:

$y = ab^x$

$480 = ab^0$ and $360 = ab^2$

Solving $480 = ab^0$ , we have:

$480 = a * 1$

$480 = a$

$a= 480$

$360 = ab^2$ becomes

$360 = 480 * b^2$

Divide both sides by 480

$0.75 = b^2$

Take square roots

$0.87 = b$

$b=0.87$ -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

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2 years ago