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2 years ago

14

A teacher is treating her seventh graders to a pizza party for their successes in class. Each student can have two slices of piz

za or will bring their own lunch. The following Venn Diagram represents the number of students who want either pepperoni pizza, cheese pizza, both, or none. According to the Venn Diagram, how many students want at least one slice of pepperoni pizza?
9
16
25
15

2 answers:

alekssr [168]2 years ago

7 0

Answer:

16

Step-by-step explanation:

As per diagram, 16 students want 2 slices of pepperoni and 9 students want 1 slice of pepperoni pizza.

So 16 students want at least 1 slice of pepperoni

Answer is 16

Kitty [74]2 years ago

3 0

Answer:

25

Step-by-step explanation:

9 had exactly one pepperoni

16 had both pepperoni

9 + 16 = 25 had atleast one pepperoni

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For the rectangle shown, which equation can be used to find the value of x?

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Answer:

Pythagorean theorem $a^{2} +b^{2} =c^{2}$

Step-by-step explanation:

$a^{2} +b^{2} =c^{2} \\x^{2} +3.6^{2} =7.4^{2} \\x^{2} +12.96=54.76\\x^{2} =\sqrt{41.8} \\x=6.47\\$

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2 years ago

If the numerator and denominator of the fraction is increased by 2an1 respectively; it becomes3/4 if the numerator and the denom

ipn [44]

Answer:

The fraction is $\frac{7}{1}$

Step-by-step explanation:

Let the numerator be x and denominator be y

So, Fraction = $\frac{x}{y}$

Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4

So, Fraction becomes : $\frac{x+2}{y+1}=\frac{3}{4}$

$4(x+2)=3(y+1)$

$4x+8=3y+3$

$4x-3y+5=0$ ----1

We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2

So, Fraction becomes : $\frac{x-2}{y-1}=\frac{1}{2}$

$2(x-2)=y-1$

$2x-4=y-1$

$2x-y-3=0$ ---- 2

Substitute the value of y from 2 in 1

$4x-3(2x-3)+5=0$

$4x-6x+9+5=0$

$14=2x$

$7=x$

Substitute the value of x in 2

$2(2)-y-3=0$

$4-3=y$

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So, Fraction = $\frac{x}{y}=\frac{7}{1}$

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2 years ago

Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point (−5,8).

Fantom [35]

Answer: y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form: y = (5/9)x+(8/9). [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5). The y-intercept would also change, but we don't know the value, yet. For now, we'll use "b" for the y-intercept. This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point (−5,8) is

y = -(9/5)x - 1

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2 years ago

A can of soda is placed inside a cooler. As the soda cools, its temperature T (x) in degrees celsius is givien by the following

wel

Answer:

Initial 18 degrees Celsius

After 20 minutes, 5 degrees Celsius

Step-by-step explanation:

It’s initial temperature can be calculated as at the time when x = 0

When x = 0, the temperature is -6+24 = 18 degrees Celsius

This is because the exponent part equals 1 since anything raised in to the power of zero is one.

After twenty minutes,

T(x) = -6 +24e^-0.038(20)

T(x) = -6 + 11.224 = 5.224

And that is approximately 5 degrees Celsius to the nearest degree

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2 years ago

At an annual salary of $55,000 per year, what is the amount of semimonthly paychecks?

Amiraneli [1.4K]

Semi monthly means 2 times per month
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so 12 months
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so the amount per paycheck, assuming equally distributed amounts throughout the paychecks, is $2291.67

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2 years ago