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2 years ago

14

Stacey filled her 1/2 measuring cup seven times to have enough flour for a cake recipe.How much flour does the cake recipe call

for?

1 answer:

dolphi86 [110]2 years ago

6 0

Answer:

3 1/2 cups of flour.

Step-by-step explanation:

Because 1/2 a cup 7 times is 3 1/2

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Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon

Arada [10]

Answer:

The number of people, of the twelve, who will win a prize is 5.

Step-by-step explanation:

In a standard deck of cards there are 52 cards.

The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.

Each of the 12 people draws 2 cards from their standard deck of cards.

Compute the probability of selecting at least 1 diamond as follows:

P (At least 1 diamond) = 1 - P (No diamond)

$=1-\frac{{39\choose 2}}{{52\choose 2}} \\=1-\frac{741}{1326}\\ =1-0.5588\\=0.4412$

The probability of selecting at least 1 diamond is 0.4412.

If a person draws at least 1 diamond he wins a prize.

The expected number of people who will win the prize is:

E (Wins a prize) = n × P (At least 1 diamond)

$=12\times0.4412\\=5.2944\\\approx5$

Thus, the number of people of the twelve who will win a prize is 5.

3 0

2 years ago

Solve the equation a. 0.76, –0.76 c. 3.87 b. 4.98 d. 1.53, –1.53 Please select the best answer from the choices provided A B C D

lord [1]

You didn't write the equation you like to be solved. It is clear though, from the options you gave, that there are two equations you want to be solved simultaneously. I will give an example to illustrate this, and you may apply the process in solving your problem.

Step-by-step explanation:

Let

x + y = 7 ....................................(1)

x - 2y = -2...................................(2)

SOLVING USING THE SUBSTITUTION METHOD.

From (1), make y the subject.

y = 7 - x ....................................(3)

Substitute the value of y in (3) into (2)

x - 2(7 - x) = -2

x - 14 + 2x = -2

x + 2x = -2 + 14

3x = 12

Divide both sides by 3

x = 12/3 = 4

Now use x = 4 in (3)

y = 7 - 4 = 3

Therefore, ( x, y) = (4, 3)

SOLVING USING THE ELIMINATION METHOD.

x + y = 7 ....................................(1)

x - 2y = -2...................................(2)

First, let us eliminate x by subtracting (2) from (1)

(x + y) - (x - 2y) = 7 - (-2)

y + 2y = 7 + 2

3y = 9

Divide both sides by 3

y = 9/3 = 3

To eliminate y, first multiply (1) by 2, and add the result to (1)

2 × (1): 2x + 2y = 14 ........................(3)

................x - 2y = -2.........................(2)

____________________

...............3x = 12

............... x = 12/3 = 4

Therefore (x, y) = (4, 3)

7 0

2 years ago

Read 2 more answers

Dmitri wants to cover the top and sides of the box shown with glass tiles that are 3 5 mm square How many tiles does he need 20

Anna35 [415]

Lets split the box in pieces and then add:
top = 20*15 = 300
sidesA = 2*20*9 = 360, is multiplied by 2 cause there are 2 sides like this
sidesB = 2*9*15 = 270, is multiplied by 2 cause there are 2 sides like this
so in total we have:
total = 300 + 360 + 270 = 930 cm^2
if we express this quantity in mm^2 we have:
<span>1cm² = 100 mm²</span>total = 930*100 = 93000 mm^2
so if the tiles are 5 mm^2 we need:
total tiles = <span>93000/5 = 18600
we need 18600 tiles of 5 mm^2</span>

8 0

2 years ago

the Baker at a pizzeria divides a 6-pound batch of pizza dough into 16 equal-size balls. What is the weight of each dough ball?

trapecia [35]

The weight of each dough ball is 0.375 ounces.

8 0

2 years ago

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Marcus currently has $42 and plans to save an additional $5 each week to buy a pair of shoes. He made a table showing the total

Sidana [21]

Equation that represents therelationship between the nmber of weeks and total amount of money marcus will have saved is

Y= 5x+42

-5x +y =42

He currently has $42 with planning to save $5 each week. So, $5 per week is the slope and $42 is the y intercept.

3 0

2 years ago

Read 2 more answers