30.08.2022

# The quotient of x miles and 8 hours is 55 miles per hour.

0

24.06.2023, solved by verified expert

### Faq

Mathematics
X is equal to 440
440/8=55
Mathematics
#1) A
#2) B
#3) C
#5) A
#7) D
#10) D
#11) D
#14) A
#15) D
#16) A
#19) D

Explanation
#1)  If the data set is linear, the slope will be constant throughout the entire data set.  For data set A, the slope between the first two points is:
m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2
Between the second two points,
m=(4-1)/(5-3) = 3/2
Between the third pairs of points,
m=(7-4)/(7-5) = 3/2

The slope is constant throughout the entire set.  The set is also increasing; as x increases, y increases as well.

#2)  Substituting 4 for y and 1 for x,
y = (x+1)²
4 = (1+1)² = 2²
9 = (1+2)² = 3²
16 = (1+3)² = 4²
This works for each point, so this is the solution.

#3) Since he runs 10 laps per hour t, this is 10t.  Adding the first lap to this, we get y=10t+1.

#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term.  If the common difference is 2, this means that 2 was added each time.  This only works for choice A.

#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.

#10) The formula for slope is:
m=(y₂-y₁)/(x₂-x₁)

Using the information we're given, we have
3=(d-5)/(4-2)
3=(d-5)/2

Multiply both sides by 2:
3*2 = ((d-5)/2)*2
6 = d-5

6+5 = d-5+5
11 = d

#11) Using point slope form,
y-y₁ = m(x-x₁)
y-1 = 3(x--2)
y-1 = 3(x+2)

Using the distributive property,
y-1 = 3*x + 3*2
y-1 = 3x + 6

y-1+1 = 3x+6+1
y=3x+7

#14) If two lines are parallel, they have the same slope.  The slope of the given equation is 4; the only one with a slope of 4 is A.

#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped).  The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2.  The only one with this slope is D.

#16)  The two equations are not the same, so there are not infinitely many solutions.  The variables do not both cancel, so there is at least one solution.  This only leaves one solution as the answer.

#19)  Using 1 for 7 and 4 for x, we check each equation.  The only one that comes out correct is D.
Mathematics
#1) A
#2) B
#3) C
#5) A
#7) D
#10) D
#11) D
#14) A
#15) D
#16) A
#19) D

Explanation
#1)  If the data set is linear, the slope will be constant throughout the entire data set.  For data set A, the slope between the first two points is:
m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2
Between the second two points,
m=(4-1)/(5-3) = 3/2
Between the third pairs of points,
m=(7-4)/(7-5) = 3/2

The slope is constant throughout the entire set.  The set is also increasing; as x increases, y increases as well.

#2)  Substituting 4 for y and 1 for x,
y = (x+1)²
4 = (1+1)² = 2²
9 = (1+2)² = 3²
16 = (1+3)² = 4²
This works for each point, so this is the solution.

#3) Since he runs 10 laps per hour t, this is 10t.  Adding the first lap to this, we get y=10t+1.

#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term.  If the common difference is 2, this means that 2 was added each time.  This only works for choice A.

#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.

#10) The formula for slope is:
m=(y₂-y₁)/(x₂-x₁)

Using the information we're given, we have
3=(d-5)/(4-2)
3=(d-5)/2

Multiply both sides by 2:
3*2 = ((d-5)/2)*2
6 = d-5

6+5 = d-5+5
11 = d

#11) Using point slope form,
y-y₁ = m(x-x₁)
y-1 = 3(x--2)
y-1 = 3(x+2)

Using the distributive property,
y-1 = 3*x + 3*2
y-1 = 3x + 6

y-1+1 = 3x+6+1
y=3x+7

#14) If two lines are parallel, they have the same slope.  The slope of the given equation is 4; the only one with a slope of 4 is A.

#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped).  The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2.  The only one with this slope is D.

#16)  The two equations are not the same, so there are not infinitely many solutions.  The variables do not both cancel, so there is at least one solution.  This only leaves one solution as the answer.

#19)  Using 1 for 7 and 4 for x, we check each equation.  The only one that comes out correct is D.
Mathematics
1. X+9
2. B-5+6
3. 15+ 5 multiply V
4. 2-3 multiply K
5. 12 divide (H+2)
6. M/7
7. 2 multiply F + 9
8. 6- (X-3)
9. G/3 - 10
10.4+ (4 multiply 5 multiply A)
11. R-S + 14
Mathematics
1. X+9
2. B-5+6
3. 15+ 5 multiply V
4. 2-3 multiply K
5. 12 divide (H+2)
6. M/7
7. 2 multiply F + 9
8. 6- (X-3)
9. G/3 - 10
10.4+ (4 multiply 5 multiply A)
11. R-S + 14
Mathematics

TrueFalseFalseFalseFalse

Step-by-step explanation:

Let us look at the statements one by one

1. The additive inverse of 10 is -10.

The additive inverse of a number is the opposite of a number with respect to sign.

The sum of a number and its additive inverse is zero.

This statement is true.

2. Zero is a positive number.

Zero is neither a positive number nor a negative number. It is only used as reference to decide whether a number is positive or negative.

This statement is false.

3. To divide two unlike signs, the quotient is always positive.

When two unlike signs are divided, the answer will be negative as division involves multiplication, and multiplication of two numbers with unlike signs will always be negative.

This statement is false.

4. Commutative Property states that:

a + (b + c ) = (a + b ) + c

Commutative property deals with two numbers or variables only. The property with three numbers or varibales is associative property. Hence,

This statement is false.

5. One is the identity element of for addition.

Additive identity is a number that when added to a number x, the result will always be x. Zero is additive identity.

Hence,

This statement is false.

TrueFalseFalseFalseFalse
Mathematics

TrueFalseFalseFalseFalse

Step-by-step explanation:

Let us look at the statements one by one

1. The additive inverse of 10 is -10.

The additive inverse of a number is the opposite of a number with respect to sign.

The sum of a number and its additive inverse is zero.

This statement is true.

2. Zero is a positive number.

Zero is neither a positive number nor a negative number. It is only used as reference to decide whether a number is positive or negative.

This statement is false.

3. To divide two unlike signs, the quotient is always positive.

When two unlike signs are divided, the answer will be negative as division involves multiplication, and multiplication of two numbers with unlike signs will always be negative.

This statement is false.

4. Commutative Property states that:

a + (b + c ) = (a + b ) + c

Commutative property deals with two numbers or variables only. The property with three numbers or varibales is associative property. Hence,

This statement is false.

5. One is the identity element of for addition.

Additive identity is a number that when added to a number x, the result will always be x. Zero is additive identity.

Hence,

This statement is false.

TrueFalseFalseFalseFalse
Mathematics

Step-by-step explanation:

We have to evaluate 4.8 ÷ x for the value of x = 6

We have to find the quotient of 0.9 ÷ 3.78

A. Emma earned $18.40 by babysitting. she worked 2.3 hours. Now, the rate of payment to Emma per hour for babysitting is ............. (1) dollars per hour. B. While solving this division problem we must change the divisor a whole number. C. Hence, to change the divisor into a whole number we must multiply the numerator and the denominator by 10. Hence, dollars per hour. (Answer) Mathematics Step-by-step answer P Answered by PhD Answer 1: 0.8 Answer 2: 0.238 Answer 3: dollars per hour. Step-by-step explanation: Answer 1: We have to evaluate 4.8 ÷ x for the value of x = 6 Now, (Answer) Answer 2: We have to find the quotient of 0.9 ÷ 3.78 Now, (Answer) Answer 3: A. Emma earned$18.40 by babysitting. she worked 2.3 hours.

Now, the rate of payment to Emma per hour for babysitting is ............. (1) dollars per hour.

B. While solving this division problem we must change the divisor a whole number.

C. Hence, to change the divisor into a whole number we must multiply the numerator and the denominator by 10.

Mathematics