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Sindrei [870]
3 years ago
8

A cleaning product sells for $0.75 a quart. Which equation can be used to solve for the total cost, C , of five gallons of the p

roduct? A: C = $0.75 × 4 + 5 B: C = 5 × ($0.75 × 4) C: C = ($0.75 + 4) × 5 D: C = ($0.75 × 5) + 4
Mathematics
1 answer:
ozzi3 years ago
8 0

Answer: b. C = 5 × ($0.75 × 4)

Step-by-step explanation:

Note that 4 quarts = 1 gallon

Therefore, if a cleaning product sells for $0.75 a quart, the equation can be used to solve for the total cost, C , of five gallons of the product will be:

= 5 × ($0.75 × 4)

= 5 × $3

= $15

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Make x the subject<br> 5y + 2x = 25
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Answer:

x = -5/2 y +25/2

Step-by-step explanation:

5y + 2x = 25

Subtract 5y from each side

5y + 2x -5y= -5y+25

2x = -5y +25

Divide by 2

2x/2 = -5y/2 +25/2

x = -5/2 y +25/2

3 0
3 years ago
Which statement is true about setting up a proportion to solve for the missing measure?
LiRa [457]

Answer: B)

Corresponding parts must be in the same position.

Step-by-step explanation:

7 0
3 years ago
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How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph
Marina CMI [18]

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

f(x)=x^3

The translation of a function is defined as

g(x)=f(x+a)+b

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down.  So, a=4 and b=-2.

g(x)=f(x+4)+(-2)

g(x)=(x+4)^3-2              [\because f(x)=x^3]

y=(x+4)^3-2

Therefore option B is correct.

8 0
3 years ago
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At a certain fast-food restaurant, 69 % of customers order a chicken sandwich, 46 % of customers order french fries, and 36 % of
Leviafan [203]
We have events:

A - <span>customer orders a chicken sandwich
</span>B - <span>customer orders french fries


and probabilities:

P(A)=0.69\\\\P(B)=0.46\\\\P(A\cap B)=0.36

so:

P(A\cup B)=P(A)+P(B)-P(A\cap B)=0.69+0.46-0.36=\boxed{0.79}
</span> 
7 0
3 years ago
A researcher wants to see if birds that build larger nests lay larger eggs. He selects two random samples of nests: one of small
True [87]

Answer:

95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.

Step-by-step explanation:

Confidence interval is given by mean +/- margin of error (E)

Eggs from small nest

Sample size (n1) = 60

Mean = 37.2

Sample variance = 24.7

Eggs from large nest

Sample size (n2) = 159

Mean = 35.6

Sample variance = 39

Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11

Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93

Difference in mean = 37.2 - 35.6 = 1.6

Degree of freedom = n1+n2 - 2 = 60+159-2 = 217

Confidence level = 95%

Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132

E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79

Lower limit = mean - E = 1.6 - 0.79 = 0.81

Upper limit = mean + E = 1.6 + 0.79 = 2.39

95% confidence interval for the difference in average mass is (0.81, 2.39)

3 0
3 years ago
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