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3 years ago

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a pizza shop charges $9 for a large cheese pizza. additional toppings cost $2 per topping. Heather paid $17 for her large pizza.

how many toppings did she order. set up and equation and solve

1 answer:

bixtya [17]3 years ago

7 0

Answer:

Heather ordered 4 toppings.

Step-by-step explanation:

If the large pizza was 9$, and topping were 2$, than your equation should look like: 4x2 = 8 and 8+9 = 17

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A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares,

svp [43]

Answer:

✅The table can be represented by the equation, $y = 4x + 4$

✅The relation is a function.

✅The graph of the function is linear.

Step-by-step explanation:

✍️The first statement: The table can be represented by the equation, $y = 4x + 4$ .

To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).

Using two pairs, (1, 8) and (2, 12),

Slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4$ .

Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

Plug in the values of b and m into y = mx + b.

Thus, the equation that represents the table would be:

$y = 4x + 4$ .

✅Therefore, the first statement is correct.

✍️The second statement: The graph of the function is non-linear.

This is NOT TRUE because the equation of the function, $y = 4x + 4$ , represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.

✍️The Third statement: The relation is a function.

This is TRUE because each input value (x-value) has exactly one output value (y-value).

✍️The Fourth statement: The rate of change is NOT constant.

This standby is NOT TRUE.

The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.

Therefore, this statement is not correct.

✍️The Fifth statement: The graph of the function is linear.

This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.

5 0

3 years ago

Toms son works in a sports store.Toms son earns a commision. He makes 2.5% of the amount he sells. Last week he sold $900 worth

siniylev [52]

Answer:

22.5

Step-by-step explanation:

2.5/100= 0.0250

0.025 x 900 = 22.5

5 0

3 years ago

Jana uses 20 cards to play a memory game the cards are either animal cards or fruit cards. The ratio of animal cards to fruit ca

Verdich [7]

Given that,

Total no of cards = 20

The ratio of animal cards to fruit cards is 2:3

No of animal cards = 20

Solution,

Let there are 2x animal cards and 3x fruit cards. ATQ,

2x+3x = 20

5x = 20

x = 4

Animal cards = 2x

= 2(4)

= 8

Fruit cards = 3x

= 3(4)

= 12

It is also mentioned that, of the cards, 1/3 have bananas on them. It means,

$B=\dfrac{1}{3}\times 12\\\\=4$

Hence, 4 cards have bananas on them.

5 0

2 years ago

It takes Dwight 1 1/3 hours to run the sunshine trail. Mike 3 1/5 hours to walk the same trail. How many times as long does it t

Anit [1.1K]

For this case we convert the mixed numbers to fractions:

Dwight: $1 \frac {1} {3} = \frac {3 * 1 + 1} {3} = \frac {4} {3} = 1.33$

Mike: $3 \frac {1} {5} = \frac {5 * 3 + 1} {5} = \frac {16} {5} = 3.2$

It is observed, that in fact, Mike takes more time to travel the road.

We subtract to know how much more time it takes Mike:

$\frac {16} {5} - \frac {4} {3} = \frac {48-20} {15} = \frac {28} {15}$

So, Mike takes $\frac {28} {15}$ hours more than Dwight to walk the road.

Answer:

Mike takes $\frac {28} {15}$ hours longer than Dwight to walk the road.

7 0

2 years ago

Geometry find the surface area please

nata0808 [166]

Find the surface area of what?

5 0

3 years ago