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3 years ago

Lily is making a snack mix for her friends .The recipe shows the amount of each ingredient needed to make 8 bags.

1 answer:

6 0

Okay, let's explain each option to better understand it.
A. The ratio is 2:0.25. When we multiply both sides by 4, we find the ratio 8:1. Option A is not the answer
B. To make 8 bags, she needs 0.5 cups of pecans. Knowing that 16/8 = 2, 0.5*2 = 1. Option B is correct.
C. She requires 2.5 cups of crackers for 8 bags. Knowing that 24/8 = 3, 2.5*3 = 7.5. Thus, Option C is not the answer.
D. She needs one cup of raisins to make 8 bags. She needs 2 cups to make 16 bags, not 1.5.
We can safely say that Option B is correct

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Which graph shows the line y = 2x + 3?

pshichka [43]

Answer: Graph D

Step-by-step explanation:

The slope is 2

x goes after the slope in graph functions

The line goes through 3 on the y-axis so that’s where + 3 comes in.

2x + 3

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3 years ago

Lizzie bought 0.8 kg of pears at €1.90 per kilogram and 1.4 kg of apples. The total cost €4.46. What was the price per kilogram

scoundrel [369]

Answer:

The the cost of 1 kg apples = € 2.1

Step-by-step explanation:

The amount of pears bought by Lizzie = 0.8 kg

The amount of apple bought by Lizzie = 1.4 kg

Total amount paid = €4.46

Now, the cost of 1 kg pears = €1.90 per kg

So, the cost of 0.8 kg pears = 0.8 x (1.90) = €1.52

Now, let the cost of 1 kg apples = € m

So, the cost of 1.4 kg apples = 1.4 x ( € m) = 1.4 m

So, the total amount = Cost of Apples + Cost of Pears

⇒ €4.46 = €1.52 + 1.4 m

or, 1.4 m = 4.46 - 1.52 = 2.94

⇒ m = 2.94/1.4 = 2.1

or, m = 2.1

Hence, the the cost of 1 kg apples = € 2.1

7 0

4 years ago

What is the length of DE?

Andreyy89

Answer:

D. 6

Step-by-step explanation:

Suppose the triangles are similar:

The side lenghts would be proportional as follows

XZ/DF = XY/DE

12/8 = 9/x cross multiply expressions

12x = 72 divide both sides by 12

x = 6

5 0

2 years ago

Which function is the inverse of f(x) = 2x 3?

irina1246 [14]

This is the function of the inverse of
f (x)=2×3

6 0

4 years ago

What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

Solution:

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

Let us determine the nature of roots:

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0

3 years ago