Ask question

Ask question

All categories

2 years ago

10

A sundae at an ice-cream shop costs $3, and each extra ounce of toppings costs $0.50. Which inequality shows the number of ounce

s of toppings you can get without spending more than $5

1 answer:

valina [46]2 years ago

4 0

Answer: $3 + $0.50t less than or equal to $5

Explanation: (t represents the number of toppings)

A sundae = $3
An extra topping = $0.50 (we don’t know how many toppings we can have, so we multiply the $0.50 by a variable, t)

We want to know how many toppings we can add along with the $3, before our total reaches $5. Therefore, we use the sign, less than or equal to.

Hope this helps! Please mark as brainliest!

You might be interested in

-3x minus 2 minus -6x = -4 minus -4x plus 12

DochEvi [55]

-3x-2-6x=-4-<em>(-4x)</em>+12

-9x-2=-16x+12

7x=14

x=2.

You probably got confused with the italicized part.

6 0

2 years ago

Please help me <br>find f(x+h)

Kay [80]

Answer:

f(x) = -2x+5

f(x+h) = -2x -2h +5

g(x) = -4x-2

g(x+h) = -4x -4h -2

h(x) = 4x^2+1

h(x+h) = 4(x+h)^2 +1 = 4x^2 +8xh + 4h^2 +1

Q(x) = -3x^2 +4

Q(x+h) = -3(x+h)^2 +4 = -3x^2 -3h^2 -6xh + 4

3 0

2 years ago

Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it

Zanzabum

Answer:

$\beta=45\degree\:\:or\:\:\beta=135\degree$

Step-by-step explanation:

We want to solve $\tan \beta \sec \beta=\sqrt{2}$ , where $0\le \beta \le360\degree$ .

We rewrite in terms of sine and cosine.

$\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}$

$\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}$

Use the Pythagorean identity: $\cos^2\beta=1-\sin^2\beta$ .

$\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}$

$\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)$

$\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta$

$\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0$

This is a quadratic equation in $\sin \beta$ .

By the quadratic formula, we have:

$\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{2}{2\cdot \sqrt{2} }$ or $\sin \beta=\frac{-4}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{1}{\sqrt{2} }$ or $\sin \beta=-\frac{2}{\sqrt{2} }$

$\sin \beta=\frac{\sqrt{2}}{2}$ or $\sin \beta=-\sqrt{2}$

When $\sin \beta=\frac{\sqrt{2}}{2}$ , $\beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )$

$\implies \beta=45\degree\:\:or\:\:\beta=135\degree$ on the interval $0\le \beta \le360\degree$ .

When $\sin \beta=-\sqrt{2}$ , $\beta$ is not defined because $-1\le \sin \beta \le1$

4 0

3 years ago

Jimmy’s new cell phone cost him $49.99 when he signed a 2 year plan, which was 75% off the original place. What was the original

Sati [7]

If Jimmy's new cell cost him $49.99 with a 75% discount, then $49.99 is <span>100%−75%=25%</span><span> of the original price.
</span>
The original price of the cell phone was <span>$199.96</span><span>.</span>

6 0

3 years ago

The owner of a small store buys coats for 55.00 each <br><br> He sells the coats for 66.00 each

liubo4ka [24]

he must buy 24 jackets to get atheist 260 dollars

7 0

2 years ago