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3 years ago

A recipe that makes 18 cookies calls for 3/4cup of sugar how much sugar is needed to make 2 dozen cookies using this recipe

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

3 0

Answer:

Use 1 cup sugar to make 2 dozen (24) cookies.

Step-by-step explanation:

Recall that 1 dozen = 12 pieces

Write and solve an equation of ratios: # of cookies on one side and # of cups of sugar on the other side:

18 cookies (3/4) cup sugar

--------------------- = ------------------------

24 cookies x

Cross-multiplying results in:

18x = 18, so that x must be 1.

Use 1 cup sugar to make 2 dozen (24) cookies.

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Which two words from the passage have nearly OPPOSITE meanings?

mezya [45]

THE ANSWER IS A
b IS talent and intersent have the same type of meaning
c to support and be against is are different but mean the same thing in a different word
D rights and changes are the way to suport and change people

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4 years ago

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Find all the zeroes of the equation(with simple steps).

uysha [10]

Answer-

The zeros are, $5,\ -5,\ 4i,\ -4i$

Solution-

$\Rightarrow -3x^4+27x^2+1200=0$

$\Rightarrow -3(x^2)^2+27(x^2)+1200=0$

Here,

a = -3, b = 27, c = 1200

So,

$x^2=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$=\dfrac{-27\pm \sqrt{-27^2-4\cdot (-3)\cdot 1200}}{2\cdot (-3)}$

$=\dfrac{-27\pm \sqrt{729+14400}}{-6}$

$=\dfrac{-27\pm 123}{-6}$

$=\dfrac{-27+123}{-6},\ \dfrac{-27- 123}{-6}$

$=\dfrac{96}{-6},\ \dfrac{-150}{-6}$

$=-16,\ 25$

So,

$\Rightarrow x^2=25,\ -16$

$\Rightarrow x=\sqrt{25},\ \sqrt{-16}$

$\Rightarrow x=5,\ -5,\ 4i,\ -4i$

8 0

3 years ago

A cone and its dimensions are shown in the diagram. What is the volume of the cone in cubic inches?

Vinvika [58]

Answer:

The exact value of the volume is equal to

$V=19\frac{397}{512}\pi\ in^{3}$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$D=5\frac{5}{8}\ in$

convert to an improper fraction

$D=5\frac{5}{8}\ in=\frac{5*8+5}{8}=\frac{45}{8}\ in$

$r=(45/8)/2=\frac{45}{16}\ in$

$h=7\frac{1}{2}\ in=\frac{7*2+1}{2}=\frac{15}{2}\ in$

substitute in the formula of volume

$V=\frac{1}{3}\pi (\frac{45}{16}^{2})(\frac{15}{2})=\frac{30,375}{1,536}\pi\ in^{3}$

Simplify

$\frac{30,375}{1,536}=\frac{29,184}{1,536}+\frac{1,191}{1,536}=19\frac{397}{512}$

substitute

$V=19\frac{397}{512}\pi\ in^{3}$

4 0

3 years ago

The Census Bureau reports that 82% of Americans over the age of 25 are high school graduates. A survey of randomly selected resi

mihalych1998 [28]

Answer:

Mean = 910.2

Standard deviation = 12.8

Step-by-step explanation:

82% over the age of 25 are high school graduates.

A survey randomly selected students of certain country included 1110 who were over the age of 25 and 871 of them were high school.

n = 1110

p = 82% = 0.82

q = 1 - 0. 82

q = 0.18

Mean = np

= 1110*0.82

= 910.2

Standard deviation = √npq

= √ 1110*0.82*0.18

=√163.836

= 12.8

6 0

3 years ago

In right triangle ∆ABC, ∠A=36°. Find the measure of the other acute angle: ∠B. 54° 64° 24° 36°

vlabodo [156]

(36+90)+C=180
126+C=180
C=180-126
=54
Answer=54

6 0

4 years ago

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