Answer:
9.25
Step-by-step explanation:
The quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.
To solve 37 divided by 4 step by step:
Step 1: Divide the first digit of the dividend (37) by the divisor (4):
37 ÷ 4 = 9
Step 2: Multiply the quotient (9) by the divisor (4) to get the product:
9 × 4 = 36
Step 3: Subtract the product (36) from the dividend (37) to find the remainder:
37 - 36 = 1
Step 4: Bring down the next digit (0) from the dividend to the remainder:
Remainder: 10
Step 5: Divide the new number (10) by the divisor (4):
10 ÷ 4 = 2
Step 6: Multiply the new quotient (2) by the divisor (4) to get the product:
2 × 4 = 8
Step 7: Subtract the product (8) from the remainder (10) to find the new remainder:
10 - 8 = 2
Step 8: Since the remainder (2) is less than the divisor (4), we can stop here.
Therefore, the quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.
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Triangle GHI is similar to triangle JKL. Find the measure of side LJ. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale
the measure of side of triangle LJ is approximately 8.8. Rounding it to the nearest tenth, we get LJ = 8.8.
If two triangles are similar, their corresponding sides are proportional. That is:
GH/JK = HI/KL = GI/JL
Let x be the measure of side LJ. Then we can set up the following proportion:
GI/JL = GH/JK
Substituting the given values, we get:
6.8/x = 5.6/7.2
Cross-multiplying and solving for x, we get:
x = (7.2 × 6.8) / 5.6 = 8.8
Therefore, the measure of side LJ is approximately 8.8. Rounding it to the nearest tenth, we get LJ = 8.8.
Every triangle has three sides and three angles, some of which may be the same. The sides of a triangle are given special names in the case of a right triangle, with the side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs.
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Rick used a stick to trace a large rectangle in a sandy lot
near his house. The rectangle measures 13 feet by 15
feet. What is the perimeter of the rectangle?
Answer:
56 feet
Step-by-step explanation:
Perimeter is what the sum of all sides lengths of a polygon is. So if the retangle measures 13x15 feet, the perimeter would be 13+13+15+15. Because the 13x15 is only two sides, and a retangle has 4 sides. So we need to incorperate the other two sides, which are the same as the others because it is a retangle.
Hope this helps!
Answer:
56
Step-by-step explanation:
P = 2(L + W)
L =15
W = 13
P = 2 ( 15 + 13)
P = 2 (28)
P = 56
What do the coordinates of an undefined slope have in common?
The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.
Find the volume of this triangular prism
Answer:
31.
Step-by-step explanation:
If you add all of them, 10+8+5+5+3 you get 31.
1. Explain why the diagram shows that 6(3 + 4) = 6(3) +6(4). 2. Draw a diagram to show that 5(x + 2) = 5x+ 10.
Given the expression:
\(6(3+4)=6(3)+6(4)\)The expression shows the distribution property of addition
So, 6 ( 3 +4 ) = 6 * 7 = 42
Which will give the same result if we distribute 6 over 3 and 4
So, 6 (3) + 6(4) = 18 + 24 =42
Show the following diagram:
As shown, the rectangle on the left side has 3 rows + 4 rows
Which will give us 7 rows when divided to 6 column will give 42 squares
While the rectangles on the right side. we have divided it to 3 rows and 4 rows, each one of them is divided to 6 column which will give us 18 squares and 24 squares the sum of them will give us 42 squares
So, 6 ( 3 + 4 ) = 6(3) + 6 (4)
how to find the quotient and remainder of a polynomial
The polynomial 2x^3 - 4x^2 + 3x - 7 has the remainder is -1, and the quotient is 2x^2 + 3.
To find the quotient and remainder of a polynomial, follow these steps:
Arrange the polynomials in descending order of degrees.
Divide the term with the highest degree of the dividend polynomial by the term with the highest degree of the divisor polynomial. This will be the first term of the quotient.
Multiply the divisor polynomial by the first term of the quotient and subtract the result from the dividend polynomial.
Bring down the next term from the dividend polynomial.
Repeat steps 2 to 4 until all the terms of the dividend polynomial are exhausted or the degree of the remaining polynomial is lower than the degree of the divisor polynomial.
The resulting polynomial after the division process is complete is the remainder.
The terms obtained during the division process form the quotient polynomial.
For example, let's divide the polynomial 2x^3 - 4x^2 + 3x - 7 by the polynomial x - 2.
The term with the highest degree in the dividend polynomial is 2x^3, and the term with the highest degree in the divisor polynomial is x.
Dividing 2x^3 by x gives 2x^2, which is the first term of the quotient.
Multiply (x - 2) by 2x^2, giving 2x^3 - 4x^2.
Subtracting 2x^3 - 4x^2 from the dividend polynomial gives 3x - 7.
Bring down the next term, which is 3x.
Dividing 3x by x gives 3, which is the next term of the quotient.
Multiply (x - 2) by 3, giving 3x - 6.
Subtracting 3x - 6 from the remaining polynomial gives -7 + 6 = -1.
Since the degree of -1 is lower than the degree of x - 2, the division process is complete.
The remainder is -1, and the quotient is 2x^2 + 3.
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Determine whether the property is true for all integers, true for no integers, or true for some integers and false for other integers. Justify your answers.
a/b + c/d = (a+c)/(b+d)
The equation above cannot be simplified to become (a+c)/(b+d).
The statement a/b + c/d = (a+c)/(b+d) is not always true for all integers.
It is true for some integers but false for other integers.
This equation is similar to the law of addition of fractions.
To verify whether it is true for all integers, true for no integers, or true for some integers and false for other integers, a counterexample will be enough.
A counterexample is a number or set of numbers that show that a statement is false.
For this statement, the counterexample is when b = -d.
If b = -d, then we will have: a/b + c/d = a/b + c/(-b)
The equation above cannot be simplified to become (a+c)/(b+d).
So the equation is not always true.
It is only true for some integers and false for other integers.
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1. Fernando is using a garden hose to fill his backyard pool at a rate of 10 gallons per minute. The pool already contains 9000 gallons of water. The capacity of the pool is 12,000 gallons.
a. Define the independent and dependent variables. b. Define the unit rate of change.
Therefore, the pool is filling up at a rate of 10 gallons per minute.
a. In this scenario, the independent variable is time (measured in minutes), and the dependent variable is the amount of water in the pool (measured in gallons).
b. The unit rate of change is the rate at which the dependent variable (amount of water in the pool) changes per unit of the independent variable (time). In this case, the unit rate of change is 10 gallons per minute, which means that the pool is filling up at a rate of 10 gallons per minute.
To calculate the unit rate of change step by step, you can follow these steps:
Determine the change in the dependent variable (amount of water in the pool) over a specific interval of time. For example, if you want to calculate the unit rate of change for the first minute, the change in the dependent variable would be 10 gallons (since the hose is filling the pool at a rate of 10 gallons per minute).
Determine the change in the independent variable (time) over the same interval of time. In this case, the change in the independent variable would be 1 minute.
Divide the change in the dependent variable by the change in the independent variable to get the unit rate of change. In this case, the unit rate of change would be:
Unit Rate of Change = Change in dependent variable / Change in independent variable
= 10 gallons / 1 minute
= 10 gallons per minute
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Y=-3x-1 find the solution
The equation Y=-3x-1 represents a linear relationship between x and y, and can be used to model real-world situations such as distance vs. time or cost vs. quantity.
The equation Y=-3x-1 represents a straight line on a coordinate plane. The "slope-intercept" form of the equation is y=mx+b, where m is the slope and b is the y-intercept.
In this case, the slope is -3 and the y-intercept is -1. This means that the line goes downwards at a rate of 3 units for every 1 unit to the right, and intersects the y-axis at -1.
To find the solution to this equation, you would need to have a specific value for either x or y.
If you were given a value for x, you could plug it into the equation to find the corresponding value for y. If you were given a value for y, you could solve for x by rearranging the equation.
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g(x) =x^2+4;Find g(9)
g(9) = 85 means that at x = 9, the corresponding value on the curve is 85 units above the x-axis.
To find g(9), we substitute the value of 9 into the function G(x) = x^2 + 4.
G(x) = x^2 + 4
g(9) = 9^2 + 4
g(9) = 81 + 4
g(9) = 85
Therefore, g(9) = 85.
To understand how we arrived at this result, let's break down the process step by step.
The function G(x) = x^2 + 4 represents a quadratic function, where x^2 is the squared term and 4 is a constant term added to it.
To find g(9), we substitute the value 9 for x in the function.
g(9) = (9)^2 + 4
g(9) = 81 + 4
g(9) = 85
So, when we evaluate the function at x = 9, the result is 85.
This means that g(9) is equal to 85. It indicates that when we plug in 9 for x in the function G(x) = x^2 + 4, the output is 85.
The quadratic function G(x) = x^2 + 4 represents a parabola that opens upward. By evaluating g(9), we determine the specific value on the curve when x is equal to 9.
In this case, g(9) = 85 means that at x = 9, the corresponding value on the curve is 85 units above the x-axis.
By substituting different values of x into the function G(x), we can find the corresponding y-values and plot points on the graph of the function to visualize its shape and behavior.
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A pair of walkie-talkies has a 35-meter range. Anand's apartment is 18 meters
east and 19 meters north of Isaac's apartment. Isaac's apartment is at sea
level, while Anand's apartment is 7 meters above sea level. Can they use the
walkie-talkies to talk to each other from their apartments?
, because the distance between their apartments is square root meters, or to the nearest tenth, meters.
Yes, they can use the walkie-talkies to talk to each other.
The distance between them is given as 28.2 meters.
How to solve for the distance?The horizontal and vertical distances should be considered when calculating the distance between their apartments using the three-dimensional form of the Pythagorean theorem.
This comes out as \(\sqrt((18^2 + 19^2 + 7^2))\), which equals \(\sqrt(798)\) square root meters, or, to the nearest tenth, 28.2 meters.
Since this distance is less than the 35-meter range of the walkie-talkies, communication should be possible between the two apartments.
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what’s the slope please help me
Answer:
-1
Step-by-step explanation:
The slope goes down 1 as it goes over (to the right) 1
Answer:
-1 would be the slope.
Step-by-step explanation:
Using rise over run, the slope would be -1.
40 feet in 25 seconds as a unit rate
Answer:
The answer is 1.6 ft per second
Step-by-step explanation:
40 ft ÷ 25/ 25 seconds÷ 25
{when I put / it means fraction}
This is a fraction equal to
40 ft ÷ 25 seconds
But what we are looking for is a unit rate which has 1 in the denominator,
so next we have to divide top and bottom by 25
=1.6 ft / 1 second
=1.6 ft / second
= 1.6 ft per second
-----------------------------------------------------------
Hope this helps
Answer:
1.6 feet per second
Step-by-step explanation:
Planes X and Y and points J, K, L, M, and N are
shown.
X
L
K
M
Y
Exactly how many planes contain points J, K, and N?
0000
O
1
O2
3
0 planes contain points J, K, and N.
Given that, planes X and Y and points J, K, L, M and N.
We need to find exactly how many planes contain points J, K, and N.
From the figure, we can see Point J doesn't belong to the planes X and Y and Point K and N belong to the plane X.
Since, points J, K, and N together do not belongs to any single plane, the planes contain points J, K, and N is 0.
Therefore, 0 planes contain points J, K, and N.
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Answer:
2 planes.
Step-by-step explanation:
The third option is correct.
When it was raining, Elliott drove for 120 miles. When the rain stopped, he drove
20 mph faster than he did while it was raining. He drove for 300 miles after the
rain stopped. If Elliott drove for a total of 10 hours, how fast did he drive while it
was raining?
Answer:
\(\boxed{22}.\)
Step-by-step explanation:
Since Elliott drove for a total of 10 hours, and he drove for 120 miles while it was raining and 300 miles after the rain stopped, we know that he drove for a total of 120 + 300 = <<120+300=420>>420 miles.
If he drove for a total of 10 hours and covered a distance of 420 miles, then his average speed was 420 miles / 10 hours = <<420/10=42>>42 mph.
Since Elliott drove 20 mph faster after the rain stopped than he did while it was raining, then we know that his speed while it was raining was 20 mph slower than his average speed of 42 mph. That means his speed while it was raining was 42 mph - 20 mph = <<42-20=22>>22 mph.
Martin is paid an hourly rate of d dollars per hour for the first 40 hours he works per week. He is paid one-and-a-half times his
hourly rate for each hour he works in excess of 40 hours per week.
If Martin was paid $770 for working 50 hours in one week, which equation can be used to calculate d, Martin's hourly rate of pay?
Answer:
40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.
Step-by-step explanation:
Given that:
Hourly rate = d
Earning to first 40 hours = 40d
Earning of more than 40 hours = 1.5d
Amount paid per week = $770
Hours worked = 50 hours
first 40 hours + 10 hours = total earned
40d + 10(1.5d) = 770
Hence,
40d + 10(1.5d) = 770 can be used to determine Martin's hourly pay.
Figure B is the image of Figure A when reflected across line l . Are Figure A and Figure B congruent? Explain your reasoning.
Answer:
They are congruent
Step-by-step explanation:
Figure A was reflected across the line making Figure B so nothing about the shape and measurements change so it remains congruent.
(-1, 3) and (7, -1)Find the coordinates of the midpoint of the segment with the endpoints listed below.
Answer:
(3,1)
Step-by-step explanation:
You add the x coordinates then divide them by 2
And then add the y coordinates then divide them by 2 also
There are 6 blue markers, 4 red
markers and 5 green markers. What
is the ratio of blue to total markers?
Answer:
9 is the answer to that question
what is the answer?????????????????????????????????????
Answer:
A
Step-by-step explanation:
Identify the prime numbers in the following lists. a. 5, 7, 12, 11b. 14, 6, 3c. 31, 17, 9, 15d. 782, 61, 2
a. The prime numbers in this list are 5 and 7. b. There are no prime numbers in this list. c. The prime numbers in this list are 31 and 17. d. The prime numbers in this list are 61 and 2.
a. In the list 5, 7, 12, 11, the prime numbers are 5, 7, and 11. Prime numbers are numbers greater than 1 that have only two factors, 1 and themselves.
b. In the list 14, 6, 3, the prime number is 3. The other numbers have more than two factors, making them not prime.
c. In the list 31, 17, 9, 15, the prime numbers are 31 and 17. The numbers 9 and 15 have more than two factors, so they are not prime.
d. In the list 782, 61, 2, the prime numbers are 61 and 2. Number 2 is the smallest prime number, and 61 has only two factors, 1 and 61. The number 782 has more than two factors, so it is not prime.
To summarize, the prime numbers in each list are: a. 5, 7, 11; b. 3; c. 31, 17; d. 61, 2.
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8. On a map of scale 1:20 000 the area of a forest is 50 cm². On another map the area of the forest is 8 cm². Find the scale of the second map.
Answer: The scale of a map is a ratio that represents the relationship between distances on the map and distances in the real world. For example, a scale of 1:20 000 means that 1 unit on the map represents 20 000 units in the real world.
In this case, we are given that the area of the forest on the first map is 50 cm² and the area of the forest on the second map is 8 cm². We can use the scale of the first map to find the scale of the second map.
Since the area of the forest on the first map is 50 cm² and the scale is 1:20 000, the area of the forest in the real world is 50 cm² * 20 000 = 1 000 000 cm².
Similarly, since the area of the forest on the second map is 8 cm², the area of the forest in the real world is 8 cm² * x, where x is the scale of the second map.
Setting these two expressions equal to each other, we get:
1 000 000 cm² = 8 cm² * x
Dividing both sides of the equation by 8 cm², we get:
x = 125 000
Therefore, the scale of the second map is 1:125 000.
Step-by-step explanation:
DISCLAIMER.......................................................................................................................................................................................................................................................................... 5000 x 800
K imma make another account (you'll know due to my first question). Anywho, If you are my friend or if i helped feel free to go to my new account and friend me!!! (Also anywho take 100 points and buff shrek
Answer: wut the ham is this
A 1/2 kilogram of flour is packed equally into 6 bags. How much
flour is in each bag?
A. 1/3 kilogram
B. 1/4 kilogram
C. 1/12 kilogram
D. 1/18 kilogram
What is the number of sides of a triangle A 1 B 2 C 3 D 4?
The number of sides of a Triangle is 3.
What is a triangle:A simple polygon with three sides and three internal angles is known as Triangle. Triangle is one of the fundamental geometric forms, it is represented by the symbol Δ.
If A, B, and C are the vertices of the triangle then it is denoted as ΔABC. A Triangle will always consist of three connected vertices and the line segment that connects the vertice is known as the side of the triangle.
The properties of a triangle says that a triangle will have three sides, If A, B, and C are three vertices of the triangle then AB, BC, and AC will be the sides of the triangle.
Therefore,
The number of sides of a Triangle is 3.
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Enter the value that belongs in the
green box.
56
N
Х
34
26
tan 56° =
Answer:
the value that belongs there is 26
Step-by-step explanation:
sin56
Since tan56 = -----------
cos56
sin56 = 26/z
cos 56 = x/z
tan56 = 26/x
find the calue of x and y
Answer:
x=75°
y=105°
Step-by-step explanation:
We can see that the top left angle is 105°.
That angle is corresponding to angle y, and corresponding angles are congruent.
This means that angle y=105° also.
Now, x and y are both on a straight line, meaning the angle is 180°.
We can subtract angle y from that to find angle x:
180=105+x
subtract 105 from both sides
75=x
So, angle x is 75°.
Hope this helps! :)
ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR
Build Perseverance Find the value of x in the figure at the right. Round to the nearest tenth.
7.2 is the unknown value of x from the triangle.
Solving a missing side of a triangleThe given diagram is a triangle. We need to determine the measure of the value 'x'.
Using the trigonometry identity'
tan theta = opposite/adjacent
tan 50 = x/6
Cross multiply to have:
x = 6tan50
x = 6(1.1918)
x = 7.1505
Hence the value of x to the nearest tenth is 7.2
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Solve 4x - 5 = 19.
O A. x = 8
O B. x = 10
C. x = 6
O D. x = 3.5
Answer:
C x=6
Step-by-step explanation:
4x-5=19
+5 on both sides
4x=24
divide both sides by 4
x=6