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makvit [3.9K]
3 years ago
13

You have 12 cups of flour. each pizza crust requires 3/4 cup of flour. how many pizza crusts can you make?

Mathematics
1 answer:
omeli [17]3 years ago
7 0
All you have to do is divide 12 by 3/4. An easier way to do this is by dividing 12 by 0.75 (3/4 in decimal form).

After dividing, you get 16 crusts, which would be your answer
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What is the answer for 1 1/2 yard x 1 1/2 yard =
suter [353]
1 1/2 as an improper fraction is 3/2
3/2x3/2=9/4
9/4 is 2.25 so 2.25 yards
4 0
3 years ago
FAST
sertanlavr [38]

Answer: The system consists of parallel lines

Step-by-step explanation:

Given system of lines :

y=\dfrac13x-4

3y-x=-7

Substitute y=\dfrac13x-4 in 3y-x=-7,  we get

3(\dfrac13x-4)-x=-7\\\\\Rightarrow\ x-12-x=-7\\\\\Rightarrow\ -12=-7 , which is not true.

That means , system has no solution.

i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]

6 0
3 years ago
Lionel plays trumpet for a minimum of 45 minutes on the days that he practices. If x is the number of days that Lionel practices
Lemur [1.5K]

Answer:

y<u>></u>0.75x

Step-by-step explanation:

4 0
3 years ago
Solve for x. 4x-4&lt; 8<br> AND 9x +5 &gt; 23<br> is it a, b,c or d ?
Alex

Answer:

A)\displaystyle2 <  x   < 3

Step-by-step explanation:

A compound inequality is an inequality that combines two simple inequalities

we are given that

\displaystyle 4x - 4 < 8 \  \: \text{and} \:  \: 9x + 5 > 23

<u>solving</u><u> </u><u>x </u><u>for</u><u> the</u><u> first</u><u> equation</u><u>:</u>

\displaystyle 4x - 4 < 8

add 4 to both sides:

\displaystyle 4x  < 12

divide both sides by 4 and since we are dividing both sides by a positive number the inequality won't swap

\displaystyle x  < 3

<u>solving</u><u> </u><u>x </u><u>for</u><u> the</u><u> </u><u>second</u><u> equation</u><u>:</u>

\displaystyle 9x + 5 > 23

cancel 5 from both sides:

\displaystyle 9x  > 18

divide both sides by 9 and since we are dividing both sides by a positive number:

\displaystyle x  > 2

therefore by combining the equations we obtain:

\displaystyle\boxed{2 <  x   < 3}

hence,

our answer is A)

5 0
3 years ago
Given f(x)=2x^2+3x-5 for what values of x is f(x) positive
kow [346]

Answer:

The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)

Step-by-step explanation:

we have

f(x)=2x^{2}+3x-5

This is a vertical parabola open upward (the leading coefficient is positive)

The vertex is a minimum

The coordinates of the vertex is the point (h,k)

step 1

Find the vertex of the quadratic function

Factor the leading coefficient 2

f(x)=2(x^{2}+\frac{3}{2}x)-5

Complete the square

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-5-\frac{9}{8}

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-\frac{49}{8}

Rewrite as perfect squares

f(x)=2(x+\frac{3}{4})^{2}-\frac{49}{8}

The vertex is the point (-\frac{3}{4},-\frac{49}{8})

step 2

Find the x-intercepts (values of x when the value of f(x) is equal to zero)

For f(x)=0

2(x+\frac{3}{4})^{2}-\frac{49}{8}=0

2(x+\frac{3}{4})^{2}=\frac{49}{8}

(x+\frac{3}{4})^{2}=\frac{49}{16}

take the square root both sides

x+\frac{3}{4}=\pm\frac{7}{4}

x=-\frac{3}{4}\pm\frac{7}{4}

x_1=-\frac{3}{4}+\frac{7}{4}=1

x_2=-\frac{3}{4}-\frac{7}{4}=-2.5

therefore

The function f(x) is negative in the interval (-2.5,1)

The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)

see the attached figure to better understand the problem

6 0
4 years ago
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