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Irina18 [472]
3 years ago
11

The first ingredient you will need to make a cake is flour. Imagine the recipe says you will need 4 cups of it. When you look at

your measuring cups, you noticed that the 1 cup and 1/2 measuring cups where nowhere to be found. Then you find 1/4 cup and say " I can do this" How many 1/4 cups will be needed to make a total of 4 cups
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0

Answer:

Step-by-step explanation:

(4 cups)/(¼ cup) = 16

You need to use 16 of the ¼-cup measures.

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Find the y-intercept of each exponential function and order the functions from least to greatest y-intercept.
kvv77 [185]

Answer:

Keep the exact order that is shown

Step-by-step explanation:

The first exponential already has a point at (1, -2) which means the y-intercept would be less than -2, which is the lowest among the three


The second has a y-int at -2

Third has y-int at 2

4 0
2 years ago
What is the answer for <br>3x÷2=6​
8090 [49]

Answer:

x = 4

Step-by-step explanation:

3x÷2=6

Multiply both sides by 2.

3x = 12

Divide by 3.

x = 4

4 0
3 years ago
Read 2 more answers
An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of
Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = \pi r^{2} \frac{h}{3}

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm

We will now find the volume of the cone.

Volume of cone  \pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}

We know the density of ice is 0.93 grams per 1cm^{3}

1cm^{3} =0.93g\\\frac{168175\pi }{24}  cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g(Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = \pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}

Volume of cone being melted = New Volume - Original volume

= \frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = \pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = 5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= \frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

4 0
2 years ago
The angle measures of triangle QRS are given:
Trava [24]

Answer:

x = 15°

Step-by-step explanation:

(5x-15) + 75 + 3x = 180

8x + 60 = 180

8x = 120

x = 15°

7 0
3 years ago
3(2x-5)+4(x+2)<br> determine the value of of expression #1 when x=4
wolverine [178]

Answer:

3(2x-5)+4(x+2) =33

Step-by-step explanation:

3(2x-5)+4(x+2)

3(2(4)-5)+4(4+2)

3(8-5)+4(6)

3(3)+24

9+24

33

Hope this helps♥

6 0
3 years ago
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