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netineya [11]
3 years ago
10

A local ice cream shop sells root beer floats for $2.75 and milkshakes for $6. One day the shop sold 10 more root beer floats th

an milkshakes and made $290. How many root beer floats were sold on this day? How many milkshakes?
Mathematics
1 answer:
seraphim [82]3 years ago
8 0

Answer:

30 milkshakes and 40 root beer floats

Step-by-step explanation:

Set up a system of equation (r is root beer and m is milkshake)

2.75r+6m=290

m+10=r

Substitute

2.75(m+10)+6m=290

2.75m+27.5+6m=290

8.75m=262.5

m=30

Now plug in 30 and solve for r

30+10=40

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If rhe discriminant of a quadratic equation is equal to -8 which statement describes the roots
Nastasia [14]

Answer:

Step-by-step explanation:

Given

Discriminant = -8

Required

Determine the type of roots

Represent Discriminant with D; such that

D = -8

D is calculated as thus

D = b^2 - 4ac

And it has the following sequence of results

When D > 0; then the roots of the quadratic equation are real but not equal

When D = 0; then the roots of the quadratic equation are real and equal

When D < 0; then the roots of the quadratic equation are complex or imaginary

Given that D = -8; This means that D < 0; and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary

6 0
3 years ago
A restaurant bill for 4 people is $120. The group leaves a tip of $18. What percent tip is that?
igomit [66]

Answer:

18÷120(100)

=0.15

=15%

so the answer is 15%

4 0
2 years ago
The value of y is directly proportional to the value of x. When x=3.5, the value of y is 14. What is the value of y when x = 28?
inna [77]

Answer:

x = 7

Step-by-step explanation:

y = 14

14 x 2 = 28

Therefore:

3.5 x 2 = 7

7 0
2 years ago
What is the probability that a student who bought juice chosen at random purchased grape flavor
larisa [96]

Answer:

50% chance

Step-by-step explanation:

6 0
3 years ago
A random sample of 38 wheel chair users were asked whether they preferred cushion type A or B, and 28 of them preferred type A w
-BARSIC- [3]

Answer:

The statement that cushion A is twice as popular as cushion B cannot be verified

Step-by-step explanation:

From the question we are told that:

Sample size n=38

Type a size A X_a=28

Type a size B X_b=10  

Generally the probability of choosing cushion A P(a) is mathematically given by

P(a)=\frac{28}{38}

P(a)=0.73

Generally the equation for A to be twice as popular as B is mathematically given by

P(b)+2P(b)=3P

Therefore Hypothesis

Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}

Generally the equation normal approx of p value is mathematically given by

z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }

z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }

z=0.75

Therefore from distribution table

Pvalue=1-\theta (0.75)

Pvalue=0.227

Therefore there is no sufficient evidence to disagree with  the Null hypothesis H_0

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

7 0
3 years ago
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