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anygoal [31]
3 years ago
5

Jasmine has a budget of $800 for catering. The catering company charges $12.50 per person. Write and solve an inequality to show

the number of guests Jasmine can invite.
Mathematics
2 answers:
OleMash [197]3 years ago
6 0
The answer is 64.
when you divided $800 by 12.50, you get 64 people.
adoni [48]3 years ago
3 0
The answer is : 64 persons.

why? beceause 12,50 dollars x 64 is 800
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Jake drove 66 miles in 2/5 hour. what's the unit rate in miles per hour?
Ad libitum [116K]

Answer:

He was going about 26 miles an hour.

Step-by-step explanation:

This is a fraction equal to

66 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

66 miles ÷ 2.5

2.5 hours ÷ 2.5

=

26.4 miles

1 hour

=

26.4 miles

hour

= 26.4 miles per hour

6 0
3 years ago
Neil wants to buy some video games over the Internet. Each game costs $25.01 and has a shipping cost of $9.98 per order. If Neil
Anettt [7]
60 \geq 25.01x+9.98
3 0
4 years ago
Cho tam giác ABC vuông tại A &lt; góc B=a chứng minh: a) 1+<img src="https://tex.z-dn.net/?f=tan%5E%7B2%7D" id="TexFormula1" tit
dimaraw [331]
<h3><u>L</u><u>H</u><u>S</u><u>:</u><u>-</u></h3>

\\ \sf\longmapsto 1+tan^2A

\boxed{\sf tanA=\dfrac{sinA}{cosA}}

\\ \sf\longmapsto 1+\dfrac{sin^2A}{cos^2A}

\\ \sf\longmapsto \dfrac{cos^2A+sin^2A}{cos^2A}

\boxed{\sf cos^2A+sin^2A=1}

\\ \sf\longmapsto \dfrac{1}{cos^2A}

\\ \sf\longmapsto \dfrac{1}{1-sin^2A}

\\ \sf\longmapsto \dfrac{1}{1}-\dfrac{1}{sin^2A}

\\ \sf\longmapsto \dfrac{1}{sin^2A}

Hence verified

8 0
3 years ago
A survey of 542 consumers reveals that 301 favor the new design for a product. Construct a 90% confidence interval for the true
kodGreya [7K]

Answer:

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 542, \pi = \frac{301}{542} = 0.555

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.555 - 1.645\sqrt{\frac{0.555*0.445}{542}} = 0.52

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.555 + 1.645\sqrt{\frac{0.555*0.445}{542}} = 0.59

The 90% confidence interval for the true proportion of all consumers who favor the design is (0.52, 0.59).

5 0
3 years ago
Simplify the following expression, then evaluate when x=1: <br><br><br>-8x + 5 - 2x - 4 + 5x
Zinaida [17]
(-2x-2) is the correct answer
3 0
3 years ago
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