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3 years ago

15

14. Cookies call for 2.25 cups of flour for every .75 cups of brown sugar. How much sugar would be needed for a batch using 5 cu

ps of flour?

1 answer:

Arte-miy333 [17]3 years ago

8 0

Answer:

i think it would be 12.4 sugar needed for a batch

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Please help me AAAAAA

bezimeni [28]

Answer:

45

Step-by-step explanation:

AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.

now, what is f ?

we know this from the relation of AC to FA.

FA = 12 mm

AC = 12 + 28 = 40 mm

so, going from AC to FA we multiply AC by f so that

AC × f = FA

40 × f = 12

f = 12/40 = 3/10

all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).

the area of a triangle is

baseline × height / 2

aABC = 500

and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.

baseline small = baseline large × f

height small = height large × f

we know that

baseline large × height large / 2 = 500

baseline large × height large = 1000

aAEF = baseline small × height small / 2 =

= baseline large × f × height large × f / 2 =

= baseline large × height large × f² / 2 =

= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =

= 500 × 9/100 = 5 × 9 = 45 mm²

8 0

3 years ago

What is the solution to the system of linear equations whose graphs are shown below?

Aleonysh [2.5K]

The solution to the system of linear equations is where the two lines intersect.

Look for the point where the two lines intersect. The x-value is 2 1/2, and the y-value is -4.

The answer is C.

5 0

3 years ago

Read 2 more answers

What is the solution of √x-5 = x-11

PIT_PIT [208]

Hey!

To solve x in this equation we must first add five to both sides to get $\sqrt{x}$ on its own.

<em>Original Equation :</em>
$\sqrt{x} - 5 = x - 11$

<em>New Equation {Added 5 to Both Sides} :</em>
$\sqrt{x} =x-6$

Now we must square both sides of the equation.

<em>Old Equation :</em>
$\sqrt{x} =x-6$

<em>New Equation {Changed by Squaring Both Sides} :</em>
$x= x^{2} -12x+36$

And now we must solve the new equation.

Step 1 - Switch sides
$x^{2} -12x+36=x$

Step 2 - Subtract x from both sides
$x^{2} -12x+36-x=x-x$

Step 3 - Simplify
$x^{2} -13x+36=0$

Now we need to solve the rest of the equation using the quadratic formula.

$\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}$

${13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}$

$\frac{13+ \sqrt{25}}{2}$

$\sqrt{25}=5$

$\frac{13+5}{2}$

$\frac{18}{2}$

9

$\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}$

4

<em>So, this means that in the equation $\sqrt{x} -5=x-11$ ,</em> x = 9 <em>and </em>x = 4.

Hope this helps!

- Lindsey Frazier ♥

4 0

3 years ago

I don't understand plz help

Rasek [7]

Answer:

The equation that represent x, the height of the sign is;

$2a = 3x$

Step-by-step explanation:

Given that the area of the triangular yield is A square feet

and it has a base length of 3 feet.

also the height is represented by x;

$b = 3ft \\ h = x$

Recall that the area of a triangle can be written as;

$a = \frac{1}{2} bh$

substituting the given;

$a = \frac{1}{2} \times 3 \times x \\ a = \frac{3}{2} x \\ 2a = 3x$

Therefore, the equation that represent x, the height of the sign is;

$2a = 3x$

8 0

2 years ago

Read 2 more answers

Using the image above, what is the measure of Angle J? Round to the nearest hundredth

Brilliant_brown [7]

Answer:

<u>∠J = 31.06°</u>

Step-by-step explanation:

Taking the inverse sin function :

sin ∠J = 1.6/3.1
J = sin⁻¹ (0.516)
<u>∠J = 31.06°</u>

5 0

2 years ago