The remainder when 4z is divided by 8 is 4
From the question, when z is divide by 8, the remainder is 5. But we do not know the quotient.
From the formula
[tex]\frac{Dividend}{Divisor}= Quotient + \frac{Remainder}{Divisor}[/tex]
Here, the dividend is z, divisor is 8, and the remainder is 5.
Let the quotient be x, then we can write that
[tex]\frac{z}{8} = x + \frac{5}{8}[/tex]
Now, to determine the remainder when 4z is divided by 8,
Multiply both sides of the equation by 4
[tex]4 \times\frac{z}{8} =4\times( x + \frac{5}{8})[/tex]
[tex]\frac{4z}{8} = 4x + \frac{20}{8}[/tex]
Then,
[tex]\frac{4z}{8} = 4x +2+ \frac{4}{8}[/tex] (NOTE: [tex]\frac{Remainder}{Divisor}[/tex]must be a proper fraction)
[tex]\frac{4z}{8} = (4x +2)+ \frac{4}{8}[/tex]
Compare this to the formula [tex]\frac{Dividend}{Divisor}= Quotient + \frac{Remainder}{Divisor}[/tex]
The remainder is 4
Hence, the remainder when 4z is divided by 8 is 4.
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Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy’s descent as a unit rate? Express your answer as an integer. Enter your answer in the bo
To get Andy’s descent as a unit rate, we can express this in terms of ratio of distance over time.
The total distance he descended is 10 feet while the total time 2 ½ minutes or 2.5 minutes. Therefore his rate is:
rate = 10 feet / 2.5 minutes
rate = 4 feet / minute
d(-3+x)=kx+9 can you solve
There are two doorways into the Funhouse the doors are similar rectangles the tall door is 9 feet high and 5 feet wide the short door is 4 feet high how wide is the short door?
PLEASE HELP!!
1. A function f(x) is graphed on the coordinate plan. What is f(-2)?
2. *Full of problems* Let me know if there is a certain question that you can't see*
A triangle has the following angle measures: 125°, 15°, and 40°. Which of the following statements best describes its drawing?
A)It is impossible to construct a triangle with these angle measures.
B)There is one possible triangle with these angle measures.
c)There are many possible triangles with these angle measures.
D)There are many possible similar triangles with these angle measures.
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Measures of angles are as follows:
125°, 15°, 40°
As we know the sum of all angles in a triangle is supplementary i.e. 180°.
∠A+∠B+∠C=180°
125°+15°+40°=180°
Therefore, it is satisfying the angle sum property.
So, it can form a triangle.
Now, we will check for uniqueness.
As similar triangles need two angles to be equal by AA criteria , their sides can vary with two equal angles.
Hence, there is possibility to have many possible similar triangles with angle measures.
Therefore, Option 'D' is correct.
BRAINLIEST if right!
Which of the flowing graphs is increasing only when x<0?
what numbers are missing 38 40 50 52
A backpacker started his day at an elevation of x feet above sea level. After a day of hiking, the backpacker was at sea level.Which equation models this situation? (asap, thanks.)
A. x + 0 = 0
B. x + x = 0
C. 0 - x = x
D. x + (-x) = 0
Sandy can jog 3 2/5 miles in 5/6 hour. Find her average speed in miles per hour.
Answer:
[tex]4\frac{2}{25}[/tex] miles per hour
Step-by-step explanation:
Sandy can jog a distance [tex]3\frac{2}{5}[/tex] miles or [tex]\frac{17}{5}[/tex] in the duration = [tex]\frac{5}{6}[/tex] hours
Since speed = [tex]\frac{distance}{time}[/tex]
We plug in the values of distance and time in the formula of speed.
Speed = [tex]\frac{\frac{17}{5}}{\frac{5}{6}}[/tex]
= [tex]\frac{17}{5}[/tex] × [tex]\frac{6}{5}[/tex]
= [tex]\frac{102}{25}[/tex]
= [tex]4\frac{2}{25}[/tex] miles per hour
Her average speed is [tex]4\frac{2}{25}[/tex] miles per hour.
I need.help please
Wednesdays low temperature in Indianapolis with 25 degrees Fahrenheit the same day in Houston low temperature was above 56°F at least how many degrees warmer was the low temperature in Houston on the low in Indianapolis?
The required difference in the temperature between the cities of Houston and Indianapolis is 31°F.
Given that,
Wednesday's low temperature in Indianapolis with 25 degrees Fahrenheit the same day in Houston's low temperature was above 56°F at least how many degrees warmer the low temperature in Houston than the low in Indianapolis is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
The temperature of Indianapolis is 25°F.
The temperature of Houston is 56°F.
The difference in the temperature = 56°F - 25°F = 31°F
Thus, the required difference in the temperature between the cities of Houston and Indianapolis is 31°F.
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The difference between two numbers is less than 0.
Could both numbers be negative? Can both be positive? One negative and one positive? Explain.
Give one combination of two factors whose product is 0.24, if one of the factors is a whole number greater than 1.
Answer:
Product of two factors =0.24
It is given that one of the factors is greater than 1.
Because 0.24 when reduced in fraction form , numerator will be divisible by 1,2,3,4,6,8,12,and 24.
So, you can choose from any one of them.
So, let one factor= 2
So, other will be
= 0.24 ÷ 2
=0.12
One Combination is=(2, 0.12)
The combination of two factors whose product is 0.24 is 24 x 0.01
The product = 0.24
Convert 0.24 from decimal to fraction
0.24 = 24/100
24/100 can be rewritten as 24 x 1/100
Since 24 is a whole number greater than 1, find the decimal equivalent of 1/100
1/100 = 0.01
0.24 = 24 x 0.01
Therefore, one of the combinations of factors of 0.24 the where one of them is a whole number greater than 1 is 24 x 0.01.
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Soundarya borrowed Rs 7500 at compound interest at the rate of 4% p.a. then after 2 years ,the amount to be paid
Twenty-one out of 70 customers at the restaurant ordered dessert. What percentage of the customers did not order dessert?
Explain how to solve rate of wind and rate of current problems
Final answer:
To solve rate of wind and current problems, analyze the given velocities, represent them as vectors, perform vector addition, and apply trigonometry to find the effective velocity or required direction. This method helps in determining the true path of a vehicle influenced by wind or current.
Explanation:
To solve rate of wind and rate of current problems, it is essential to understand vectors and relative motion. Here is a step-by-step approach to solving these problems:
Analyze the question to understand what is being asked, including the direction and magnitude of both the wind/current and the vehicle (aircraft, boat, etc.).Represent the given velocities as vectors. The wind or current velocity should be added to the vehicle’s velocity to determine the resulting path.Apply the vector addition concept to calculate the effective velocity of the vehicle relative to the Earth. This might include using trigonometric functions to resolve vectors into components.Once the effective velocity is known, use it to solve for other quantities like travel time, distance, or the required heading to reach a certain destination.For example, if an aircraft flies with a wind velocity of 200 km/hr blowing from the south and its relative velocity with respect to wind is 1000 km/hr, the direction in which the aircraft should fly to reach a north-eastern destination can be calculated using vector addition and trigonometry.
matt can buy an 8-ounce jar of salsa for $2.79 or a 15-ounce jar os salsa for $5.54. which jar has the best unit rate?
What is the equation for an explicit formula
Probability?
A spinner is made using a regular pentagon. A regular pentagon has five equal sides. The equal sections are labeled with the numbers 1, 2, 3, 4 and 5. What is the probability that it will give the
result:
(Im not talking about a fidget spinner)
A: 4?
B: 3?
C: a number less than 3?
D: number greater than 3?
E: an even number
F: an odd number?
Solve the equation by factoring. 3z^2+3z-6=0
Answer:
z = 1 or z = –2
Hope this helps !
Answer:
z = 1 or z = –2
Step-by-step explanation:
Paige has to make invitation cards for a party. If she can make 18 cards in 2 days, how many cards can she make in 30 days?
Answer:
270 cards
Step-by-step explanation:
18 cards in 2 days means 9 cards in a day. So that means that we have to multiply 9 cards a day by the number of days, which is 30.
9 x 30 = 270
Meaning, Paige made 270 cards in 30 days.
guess a number for x that would make the equation 5x-2=8 true
In 2007, the population of North America was approximately 5.15 x 108 people and the population of South America was approximately 3.04 x 108 people.
What is the combined population of North and South America for this year?
A) 8.19 x 1016 people
B) 8.19 x 109 people
C) 8.19 x 108 people
D) 8.19 x 1064 people
Answer:
The approximate population of north and South America combined is about 900 million or 13 percent of the worlds population
Step-by-step explanation:
Find the x-intercept of the line:
9x + 3y = -18
Question 6 options:
a) (0,-6)
b) (2,0)
c) (-2,0)
d) (3,9)
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan?
Answer:
c.
Chuy will save more than he needs and will meet his goal in less than 27 weeks.
Step-by-step explanation:
-3 times what equals 9
The value to fill in the blank is -3.
So, -3 x -3 = 9.
We have,
To solve the equation -3 x __ = 9, we need to find the value to fill in the blank that makes the equation true.
Let's denote the value we need to find as "x".
When we multiply -3 by "x", it means we are adding -3 to itself "x" times.
So, the equation becomes -3 times "x" equals 9:
-3x = 9.
To solve for "x", we can divide both sides of the equation by -3:
-3x / -3 = 9 / -3
This simplifies to:
x = -3
Therefore,
The value to fill in the blank is -3. So, -3 x -3 = 9.
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Which number line represents all of the values of x for the equation x2 = 64?
Answer:
We are asked to find all the values of x on the number line that satisfies the given quadratic equation:
[tex]x^2=64[/tex]
We know that this is a quadratic equation so the number of values that we get on the number line is maximum 2.
on taking the square root on both the side of the equation we obtain:
[tex]x=\pm 8[/tex]
Hence we get two points on the number line.
x=8 and x= -8.
These are the discrete values we did not get any interval of the solution.
Jill fish weighs 8 times as much as her parakeet. Together, the pets weigh 63 ounces. How much does the fish weigh?
I need a little help please
Real world problem for 3x-15=10