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Marizza181 [45]
2 years ago
15

Hey certain recipe for key crossword 16 fluid ounces of water is Natalie needs to be 22 cakes for a bakery how many quarts of wa

ter does she need

Mathematics
1 answer:
seropon [69]2 years ago
4 0

Natalie will need 11 quarts of water to bake 22 cakes for her bakery.

Step-by-step explanation:

Step 1:

Natalie needs 16 fluid ounces to make a cake.

If she wants to bake x number of cakes, she will need 16x ounces of water.

To determine the amount of water needed to bake 22 cakes, we multiply the amount of water needed to bake a single cake by 22.

Step 2:

The water needed to bake 22 cakes in ounces = 22(16) = 352.

So 352 ounces of water in needed and as 32 ounces is equal to 1 quart.

352 ounces equals 11 quarts of water. So 11 quarts of water are needed to bake 22 cakes.

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Consider the series 3/2 + 3/4 + 3/8 + 3/16 + ... What expression defines Sn?
snow_lady [41]

For the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula  3(\dfrac{1}{2})^n.

<h3>What is number series?</h3>

When the numbers are arranged in a series with some logic then it is called as the number series.

here we have a series:

\dfrac{3}{2}+\dfrac{3}{4}+\dfrac{3}{8}+\dfrac{3}{16}+............

The sum of the series will be given as:

S_n=3(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+............)

S_n=3 (\dfrac{1}{2})^n

Hence for the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula  3(\dfrac{1}{2})^n

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2 years ago
Find the length of the longest side of the rectangle whose vertices are given. a(2, 1), b(5, 4), c(0, 3), d(3, 6)
aleksandr82 [10.1K]
First, you plot the coordinates to visualize the problem clearly. As you can see in the picture, the longest sides could either be one of those marked in red. This could be initially determined when you use visual estimation. We measure this using the distance formula: d = √[(x2-x1)^2 + (y2-y1)^2)]

Between coordinates (0,3) and (3,6)
d = √[(3-0)^2 + (6-3)^2)]
d= 4.24 units

Between coordinates (2,1) and (5,4)
d = √[(5-2)^2 + (4-1)^2)]
d= 4.24 units

They are of equal length. Both are the longest sides which measures 4.24 units.

5 0
3 years ago
for a field trip 12 students rode in cars and the rest filled six buses how many students were in each bus if 342 students were
kolezko [41]

Answer:

55

Step-by-step explanation:

we have 342 students, subtract 12 because we need only kids riding the bus, now we have 330 kids, we divide the 330 kids between 6 buses 330/6, our answer is 55.

4 0
3 years ago
Find the 7th term in the sequence
lara [203]

Answer:

-32

Step-by-step explanation:

8 0
2 years ago
In the right ABC with C=90,A=75 and AB=12cm. Find the area of ABC
Ganezh [65]

Answer:

18 cm^2

Step-by-step explanation:

The legs of a right triangle are the base and height of the triangle.

Since C is a right angle, AB is the hypotenuse.

AC and BC are the legs and the base and height.

sin 75 = BC/12

BC = 12 sin 75

cos 75 = AC/12

AC = 12 cos 75

area = bh/2 = (12 sin 75)(12 cos 75)/2

area = 18 cm^2

6 0
3 years ago
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