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3 years ago

10

Dylan is at a fruit farm. So far he has 12 apples, Dylan starts walking and checks his basket, he only has 2 apples now. How man

y apples did Dylan lose?

2 answers:

NISA [10]3 years ago

7 0

Apples at the start=12
Apples at the end=2

Apples lost=
12-2=10 Apples

Dylan lost 10 apples.

Ilya [14]3 years ago

3 0

On his way walking dylan lost atleast 10 apples

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How do you find how many solutions a system of equations has?

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If the lines are the same, the equations are dependent linear equations.

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State if the pair of triangles are similar. If so, state how you know they are similar and

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3 years ago

Equations and Inequalties: Tutorial

alukav5142 [94]

Answer:

The number is 4.

Step-by-step explanation:

We can answer the above question as follow:

The square of a number, x is written as: x²

Eight times the number is written as: 8x

From the question, we were told that the square of the number, x is 16 less than eight times the number. This can be written as:

x² = 8x – 16

Rearrange

x² – 8x + 16 = 0

Solving by factorisation method:

Multiply the 1st term (i.e x²) and the last term (i.e 16) together. The result is 16x² as shown below:

x² × 16 = 16x².

Next, find two factors of 16x² such that when we add them together, it will result to the 2nd term ( i.e – 8x).

The factors are –4x and –4x.

Next, replace – 8x in the equation with –4x and –4x. This is illustrated below:

x² – 8x + 16 = 0

x² – 4x – 4x + 16 = 0

Factorise

x(x – 4) – 4(x – 4) = 0

(x – 4)(x – 4) = 0

x – 4 = 0 or x – 4 = 0

x = 4 or x = 4

Thus, the number is 4.

***** Check *****

x² = 8x – 16

x = 4

4² = 8(4) – 16

16 = 32 – 16

16 = 16

5 0

3 years ago

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andreev551 [17]

The exponents distribute over factors:

$(ab)^c = a^c \times b^c$

so, you have

$(3.2 \times 10^6)^{-3} = 3.2^{-3} \times (10^6)^{-3}$

Let's focus on each factor: applying the definition of negative exponents, you have

$3.2^{-3} = \cfrac{1}{3.2^3} \approx 0.03$

While for the power of 10, you can use the following rule

$(a^b)^c = a^{bc}$ to write

$(10^6)^{-3} = 10^{6\cdot (-3)} = 10^{-18}$

So, the expression evaluates to

$0.03\times 10^{-18} = 3\times 10^{-20}$

3 0

4 years ago

A large cheese pizza at Poppy's Pizzeria costs $12.80 plus $1.25 for each topping. The cost of a large

almond37 [142]

Answer:

Part a) 2 toppings

Part b) $\$15.30$

Step-by-step explanation:

Part a) How many toppings need to be added to a large cheese pizza from Poppy's Pizzeria and Geo's Pizza in order for the pizzas to cost the same?

Let

x -----> the number of topping

y ----> the total cost of a large cheese pizza

we know that

<em>Poppy's Pizzeria</em>

$y=1.25x+12.80$ ----> equation A

<em>Geo's Pizza</em>

$y=0.65x+14.00$ ----> equation B

Equate equation A and equation B

$1.25x+12.80=0.65x+14.00$

Solve for x

$1.25x-0.65x=14.00-12.80$

$0.60x=1.2$

$x=2\ toppings$

Part b) What would that cost be?

we know that

For x=2 toppings the cost is the same in both pizzerias

so

substitute the value of x in equation A or equation B

<em>Poppy's Pizzeria</em>

$y=1.25(2)+12.80$

$y=\$15.30$

Verify the cost in the other pizzeria (must be the same)

<em>Geo's Pizza</em>

$y=0.65(2)+14.00$

$y=\$15.30$ ----> is ok

6 0

3 years ago