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3 years ago

Variable y varies directly with variable x, and y = 6 when x = 9.

2 answers:

5 0

X and y are proportional hence when y is multiplied by a number, x is multiplied by the same number.

18=6*3 hence when y=18,x=9*3=27

x=27

kap26 [50]3 years ago

4 0

So you can set up a proportion like
x/y=x/y
9/6=x/18
simplify 9/6=3/2
3/2=x/18
multiply both side by 18
(3x18)/2=x
54/2=x
x=27

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4. The Gold family sold their house for $450,000. They paid a realty

Rudiy27

Answer:

27,000

Step-by-step explanation:

$450,000 x 0.06= $27,000

0.06 is the 6% that you multiply by the total amount they earned to see how much they paid the realty company.

7 0

3 years ago

Find the value of a2 + 3b , when a = -2 and b = 5

Sloan [31]

$\huge\mathfrak {Answer}$

Value of

a = -2 and

b = 5

=》a2 + 3b

=》2 × 2 + 3 × 5

=》4 + 14

=》18

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5 0

2 years ago

Read 2 more answers

Ratio And Rates. Each ratio or rate needs to be a fraction in simples terms 1. 30 ft. To 60.Ft 2. 51 males to 21 females 3. 1,50

otez555 [7]

Given:

The ratio and rates:

1. 30 ft. To 60.Ft

2. 51 males to 21 females

3. 1,500 meters in 6 seconds

4. $36 for 4 rounds of shrimp

To find:

The fraction in simple terms for the given ratio and rates.

Solution:

1. 30 ft. To 60.Ft

$\dfrac{30\text{ ft}}{60\text{ ft}}=\dfrac{1}{2}$

2. 51 males to 21 females

$\dfrac{51}{21}=\dfrac{17}{7}$

3. 1,500 meters in 6 seconds

$\dfrac{1500\text{ meters}}{6\text{ seconds}}=250\text{ meter/second}$

4. $36 for 4 rounds of shrimp

$\dfrac{\$ 36}{4}=\$ 9\text{ per round of shrimp}$

4 0

3 years ago

McKenzie bought 1.2 pounds of coffe for $11.82. What was the cost per pound?

mihalych1998 [28]

11.82 divided by 1.2=9.85

4 0

3 years ago

Read 2 more answers

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