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3 years ago

4 1/2 cups of flour make 2 batches of cookies. How much flour per batch

Mathematics

2 answers:

Mrac [35]3 years ago

5 0

9/2*1/2=9/4=2 1/4

2 1/4 cups of flour per batch.

iVinArrow [24]3 years ago

4 0

4 1/2 cups ⇒ 2 batches

1 batch ⇒ How many cups?

4 1/2 = 9/2

Cross multiplying;

1 batch = 1 × 9/2 ÷ 2 = 9/4 cups

Simplifying your answer;

1 batch = 2 1/4 cups

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To convert 12 yards to inches, you would use the ratio .36inches/1 yard true or false ?

Taya2010 [7]

False. It's 36 not .36 and you would just do 12x36 since 36 inches is 1 yd. But if you want to make it complicated just do 12/1 times 36/1 which still equals 432.

8 0

3 years ago

I really extremely need help! I will give you 5 stars and branilest

Ivanshal [37]

Answer:

37.5%

Step-by-step explanation:

12\32 = 6\16=3\8 =0.375

=37.5%

7 0

2 years ago

A rectangular box with a square base is to be constructed from material that costs $9 per ft2 for the bottom, $5 per ft2 for the

kramer

Answer:

$18.73ft^3$

Step-by-step explanation:

Let

Side of square base=x

Height of rectangular box=y

Area of square base=Area of top= $(side)^2=x^2$

Area of one side face= $l\times b=xy$

Cost of bottom=$9 per square ft

Cost of top=$5 square ft

Cost of sides=$4 per square ft

Total cost=$204

Volume of rectangular box= $V=lbh=x^2y$

Total cost= $9(x^2)+5x^2+4(4xy)=14x^2+16xy$

$204=14x^2+16xy$

$204-14x^2=16xy$

$y=\frac{204-14x^2}{16x}=\frac{102-7x^2}{8x}$

Substitute the values of y

$V(x)=x^2\times \frac{102-7x^2}{8x}=\frac{1}{8}(102x-7x^3)$

Differentiate w.r.t x

$V'(x)=\frac{1}{8}(102-21x^2)=0$

$V'(x)=0$

$\frac{1}{8}(102-21x^2)=0$

$102-21x^2=0$

$102=21x^2$

$x^2=\frac{102}{21}=4.85$

$x=\sqrt{4.85}=2.2$

It takes positive because side length cannot be negative.

Again differentiate w.r. t x

$V''(x)=\frac{1}{8}(-42x)$

Substitute the value

$V''(2.2)=-\frac{42}{8}(2.2)=-11.55$

Hence, the volume of box is maximum at x=2.2 ft

Substitute the value of x

$y=\frac{102-7(2.2)^2}{8(2.2)}=3.87 ft$

Greatest volume of box= $x^2y=(2.2)^2\times 3.87=18.73 ft^3$

5 0

3 years ago

Cheyenne collects movies. She has 435 movies that are either comedy, scary, or sci-fi. She has the same number of videos for eac

tensa zangetsu [6.8K]

145 movies of each genre.

435/3= 145

4 0

3 years ago

During a drought, the water level in a reservoir dropped 3 in. each week for 5 straight weeks. Express the overall change in wat

aliina [53]

Answer:

v = -3w

Step-by-step explanation:

water level/volume = -3 x weeks

v = -3w

6 0

2 years ago