The quotient of x miles and 8 hours is 55 miles, №17887906, 30.08.2022 19:46

Mathematics

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

Step-by-step answer

P Answered by PhD

1

X is equal to 440
440/8=55

Mathematics

1. which data set represents an increasing, linear function? (1 point) a. (1,-,,,7) b. (1,1) (2,0), (3,-1), (4,-2) c.(1,-,,11) (7, 18) d.(1, 17), (2,15), (3,11), (4, 3) 2.which function s graph passes through the points (1, 4), (2, 9) and (3, 16) a. y = 5x + 4 b. y = (x + 1) mini 2 on the end c. y = (x + 3) mini 2 on the end d. y = 7x - 5 3. suppose that after one warm-up lap around a track, you run 10 laps an hour. what is an equation that represents the total numver of laps you ve run, y in terms of the number of the hours you run, t? a. y(t)

Step-by-step answer

P Answered by PhD

63

#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

Add 5 to both sides:
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

Add 1 to both sides:
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. which data set represents an increasing, linear function? (1 point) a. (1,-,,,7) b. (1,1) (2,0), (3,-1), (4,-2) c.(1,-,,11) (7, 18) d.(1, 17), (2,15), (3,11), (4, 3) 2.which function s graph passes through the points (1, 4), (2, 9) and (3, 16) a. y = 5x + 4 b. y = (x + 1) mini 2 on the end c. y = (x + 3) mini 2 on the end d. y = 7x - 5 3. suppose that after one warm-up lap around a track, you run 10 laps an hour. what is an equation that represents the total numver of laps you ve run, y in terms of the number of the hours you run, t? a. y(t)

Step-by-step answer

P Answered by PhD

63

#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

Add 5 to both sides:
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

Add 1 to both sides:
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

Write an algebraic expression for the word expression. 1./the sum of x and 9 2./6 more than the difference of b and 5 3./the sum of 15 and the product of 5 and v 4./the difference of 2 and the product of 3 and k 5./12 divided by the sum of h and 2 6./the quotient of m and 7 7./9 more than 2 multiplied by f 8./6 minus the difference of x and 3 9./10 less than the quotient of g and 3 10./the sum of 4 multiplied by a and 5 mulltiplied by b 11./14 more than the difference of r and s 12./let h represent mark s height in inches. suzanne is 7 inches shorter

Step-by-step answer

P Answered by PhD

7

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
Hope this answer help you

Mathematics

Write an algebraic expression for the word expression. 1./the sum of x and 9 2./6 more than the difference of b and 5 3./the sum of 15 and the product of 5 and v 4./the difference of 2 and the product of 3 and k 5./12 divided by the sum of h and 2 6./the quotient of m and 7 7./9 more than 2 multiplied by f 8./6 minus the difference of x and 3 9./10 less than the quotient of g and 3 10./the sum of 4 multiplied by a and 5 mulltiplied by b 11./14 more than the difference of r and s 12./let h represent mark s height in inches. suzanne is 7 inches shorter

Step-by-step answer

P Answered by PhD

7

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
Hope this answer help you

Mathematics

Write TRUE if tue statement is correct and FALSE if it is wrong. 1. The additive inverse of 10 is -10. 2. Zero is a positive number. 3. To divide two unlike signs, the quotient is always positive. 4. Commutative Property states that: a + (b + c ) = (a + b ) + c 5. One is the identity element of for addition. Identify the following. 1. It is a distance from zero to any point. 2. A set of number from negative, zero and positive numbers. 3. A horizontal and vertical line with equal scale of negative, zero and positive numbers. 4. It is neither positive

Step-by-step answer

P Answered by PhD

4

The answers are as follows:

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.

10+(-10) = 10-10 = 0

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.

The answers are as follows:

TrueFalseFalseFalseFalse

Mathematics

Write TRUE if tue statement is correct and FALSE if it is wrong. 1. The additive inverse of 10 is -10. 2. Zero is a positive number. 3. To divide two unlike signs, the quotient is always positive. 4. Commutative Property states that: a + (b + c ) = (a + b ) + c 5. One is the identity element of for addition. Identify the following. 1. It is a distance from zero to any point. 2. A set of number from negative, zero and positive numbers. 3. A horizontal and vertical line with equal scale of negative, zero and positive numbers. 4. It is neither positive

Step-by-step answer

P Answered by PhD

4

The answers are as follows:

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.

10+(-10) = 10-10 = 0

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.

The answers are as follows:

TrueFalseFalseFalseFalse

Mathematics

Answer this and i will mark you as brainliest and you ll get 100 points so answer these questions and show your work/show handwritten work thx question 1. evaluate 4.8 ÷ x for each value of x. evaluate when x = 6. question 2. find the quotient of 0.9 ÷ 3.78 question 3. given the problem below: a. write an expression you would use to solve/answer this problem. b. before you can solve by hand, what must you do with the decimal in the divisor? c. does this change any other parts of your problem? if so, what and how? emma earned $18.40 by babysitting.

Step-by-step answer

P Answered by PhD

Answer 1: 0.8

Answer 2: 0.238

Answer 3: $R = \frac{18.40}{2.3} = \frac{18.4 \times 10 }{2.3 \times 10} = \frac{184}{23} = 8$ dollars per hour.

Step-by-step explanation:

Answer 1:

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

Now, $\frac{4.8}{6} = \frac{48}{6 \times 10} = \frac{8}{10} = 0.8$ (Answer)

Answer 2:

We have to find the quotient of 0.9 ÷ 3.78

Now, $\frac{0.9}{3.78} = \frac{900}{378} \times \frac{100}{1000} = 2.38 \timers \frac{1}{10} = 0.238$ (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 $R = \frac{18.40}{2.3}$ ............. (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, $R = \frac{18.40}{2.3} = \frac{18.4 \times 10 }{2.3 \times 10} = \frac{184}{23} = 8$ dollars per hour. (Answer)

Mathematics

Answer this and i will mark you as brainliest and you ll get 100 points so answer these questions and show your work/show handwritten work thx question 1. evaluate 4.8 ÷ x for each value of x. evaluate when x = 6. question 2. find the quotient of 0.9 ÷ 3.78 question 3. given the problem below: a. write an expression you would use to solve/answer this problem. b. before you can solve by hand, what must you do with the decimal in the divisor? c. does this change any other parts of your problem? if so, what and how? emma earned $18.40 by babysitting.

Step-by-step answer

P Answered by PhD

Answer 1: 0.8

Answer 2: 0.238

Answer 3: $R = \frac{18.40}{2.3} = \frac{18.4 \times 10 }{2.3 \times 10} = \frac{184}{23} = 8$ dollars per hour.

Step-by-step explanation:

Answer 1:

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

Now, $\frac{4.8}{6} = \frac{48}{6 \times 10} = \frac{8}{10} = 0.8$ (Answer)

Answer 2:

We have to find the quotient of 0.9 ÷ 3.78

Now, $\frac{0.9}{3.78} = \frac{900}{378} \times \frac{100}{1000} = 2.38 \timers \frac{1}{10} = 0.238$ (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 $R = \frac{18.40}{2.3}$ ............. (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, $R = \frac{18.40}{2.3} = \frac{18.4 \times 10 }{2.3 \times 10} = \frac{184}{23} = 8$ dollars per hour. (Answer)

Mathematics

Answer this you ll get 100 points and i will mark you as brainliest so answer these questions and show your work/show handwritten work thx question 1. evaluate 4.8 ÷ x for each value of x. show your work evaluate when x = 6. question 2. find the quotient of 0.9 ÷ 3.78 question 3. given the problem below: a. write an expression you would use to solve/answer this problem. b. before you can solve by hand, what must you do with the decimal in the divisor? c. does this change any other parts of your problem? if so, what and how? emma earned $18.40 by

Step-by-step answer

P Answered by Specialist

1

Hi KeadenSmith,
I was unable to answer 3., but I helped you out with 1. and 2..
Answer this you'll get 100 points and i will mark you as brainliest so answer these questions and sh

Answer this you'll get 100 points and i will mark you as brainliest so answer these questions and sh

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

Step-by-step answer

Faq

Try asking the Studen AI a question.