Answer:
D
Step-by-step explanation:
22.5÷3 is 7.5 and 52.5÷3 is 7.5 as well
Money is y axis (x,y) and candles is x axis (x,y)
a finite sequence of three-digit integers has the property that the tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term. for example, such a sequence might begin with the terms 247, 475, and 756 and end with the term 824. let be the sum of all the terms in the sequence. what is the largest prime factor that always divides ?
The largest prime factor that always divides the sum of the terms in the sequence is 37.
The sequence is finite and consists of three-digit integers.
The tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term.
From the above property of the sequence, we can see that each digit at the units, tens as well as hundreds place will appear the same number of times in the sequence.
Let "x" be the sum of the digits at unit place in all the terms.
The sum of all the terms is "S".
S = 111*x
S = 3*37*x
We can clearly see that the sum "S" is divisible by 37.
Hence, the largest prime factor that always divides the sum of the terms in the sequence is 37.
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Find the square root. V100
for the square root you must look for a number that multiplied with itself gives you the indicated value
for this case a number that multiplied by itself gives you 100
[tex]10\times10=100[/tex]sothe square root of 100 is:
[tex]10[/tex]29 + 17w = 624
w =
Help
Answer:
w = 35
Step-by-step explanation:
To solve this problem, you will need to undo it in reverse order. The first thing done to w is to multiply it by 17 and then add 29 to it. You need to undo the addition of 29 with subtraction first.
624-28=595
Next, you need to undo the multiplication by 17 with division.
[tex]\frac{595}{17} =35[/tex]
Therefore, your answer is 35
Tara makes two batches of purple food coloring. The table show the number of drops of red and blue coloring she uses for each batch. Do the two batches use the same number of drops of red per drop of blue.
Given data:
The number of red drops for first batch are r=100.
The number of blue drops for first batch are b=20.
The number of red drops for second batch are r'=75.
The number of blue drops for second batch are b'=15.
The expression for the red per blue drop for first batch is,
n=r/b
Substitute the given values in the above expression.
n=100/20
=5
The expression for the red drop per blue drop of the second batch is,
n'=r'/b'
Substitute the given values in the above expression.
n'=75/15
=5
Thus, yes the ratio of red to the blue drop is same for both batches.
Amy has a piece of wood that measures 42 inches. The model shows the length remaining after she cut a piece from the 42-inch piece of wood. About how many inches did Amy cut from the 42-inch piece of wood? 2 3 4 5 6 7 8 10 12 inches
Given data
Ammy has a piece of wood that measures 42 inches
Ammy cut from the 42-inch piece of wood is calculated as
[tex]42-9=33\text{ inches}[/tex]Thus, Amy cut from the 42-inch piece of wood is 33 inches
The formula written in symbols as T =UN. Solve the formula for U.
The formula written in symbols as T =UN. Solve the formula for U.
we have
T=U*N
solve for U
so
isolate the variable U
step 1
divide by N both sides
T/N=U*N/N
T/N=U
therefore
U=T/Nwhat is the slope of any line parallel to the line 8x+9x=3 in the standard (x,y) coordinate plane ?
The slope of the line that is parallel to 8x + 9x = 3 is: -8/9.
What is the Slope of Parallel lines?If two lines are parallel to each other, their slope values is equal to each other. This means the value of "m" in their equation expressed in slope-intercept form as y = mx + b, is the same.
Given the equation of a line in standard form as, 8x + 9y = 3, rewrite this in slope-intercept form:
8x + 9y = 3
8x + 9y - 8x = -8x + 3 [subtraction property of equality]
9y = -8x + 3
9y/9 = -8x/9 + 3/9 [division property of equality]
y = -8/9x + 1/3
The slope of the equation is -8/9. Therefore, the slope of the line that is parallel to the equation 8x + 9y = 3 will also be: -8/9.
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Which logical argument could you use to prove that triangle ABC is congruent to triangle DEF?
A. SSS Postulate
B. HL Theorem
C. SAS Postulate
D. ASA Postulate
(6x10^2)/(3x10^-5) standard form
Answer:
2×10^7
Step-by-step explanation:
cuz 3:6 is 2 and 10^2÷10^-5 equals 10⁷
Answer:
2×10^7
Step-by-step explanation:
6×10²/3×10^5
6/3×10²-10^-5
2×10²-^(-5)
2×10²+^5
2×10^7
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The sum of two consecutive integers is 97. What is the smaller integer?
Answer: 48 is the smaller integer
Step-by-step explanation: 48+49=97 48 and 49 are the two integers, 48 is smaller than 49.
The net of a rectangular prism is shown below. The surface area of each face is labeled.
We will have the following:
Inferring from the information presented in the diagram we can conclude that the measurements will be:
Base: 3ft * 12ft = 36f t^2
Side1: 3ft * 2ft = 6 ft^2
Side 2: 12ft * 2ft = 24 ft^2
So, the values that would represent the dimension will be:
Length: 12 ft.
Width: 3 ft.
Height: 2 ft.
Find the value of each variable
Answer:
y=9
Step-by-step explanation:
16y and 18y-18 are vertical angles. The definition of Vertical Angles states that both of the measures of the angles are equal to each other. Therefore,
18y-18=16y
2y-18=0
2y=18
y=9
Which equations pass through the points (1, 3) and (7 9)?
Answer:
f(x)=x+2 Passes through
x-y=2 DOES NOT pass through
Step-by-step explanation:
Method- plug in x and see if the y matches the points. (1,3) (7,9)
f(x)=x+2
f(1)=1+2=3
f(7)=7+2=9
Matches!
x-y=2
1-y=2 --> y=-1
Does not match
Find the volume of a cone with radius 8 and height 4.
The volume of the cone is:
[tex]85.33\pi[/tex]Explanation:The volume of a cone is given by the formula:
[tex]V=\frac{1}{3}\pi r^2h[/tex]Given radius, r = 8, and height, h = 4, we have:
[tex]\begin{gathered} V=\frac{1}{3}\pi(8^2)(4) \\ \\ =\frac{256}{3}\pi \\ \\ =85.33\pi \end{gathered}[/tex]Isabella is making bread. She has 7/2 cups of flour. each loaf uses 3/4 cup of flour. How many whole loaves of bread can Isabella make? will she have flour left over?
A. 5 loaves with flour left over.
B. 5 loaves with no flour left over.
C. 4 loaves with flour left over.
D. 4 loaves with no flour left over.
Please help
Answer: C. Four loaves, with flour left over.
Step-by-step explanation:
7/2 simplifies to 3 1/2
Do the math,
3/4 + 3/4 = 1 1/2 2 loaves
1 1/2 + 3/4 = 2 1/4 3 loaves
2 1/4 + 3/4 = 3 4 loaves
Now when we add 3/4 to 3, we get more than 3 1/2. Which means we do not have enough flour for another loaf of bread. So, we can make four loaves and still have some four left over. The answer is C.
suppose that marv and patricia will each take a covid test, and that the probability that both will test positive is 0.15. what is the probability that one or more of them tests negative?
The probability that one or more of them tests negative is 0.85.
Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.
If Marv and Patricia will each take a Covid test, then the events that will occur are : both will test positive, both will test negative, or one of them will test negative.
Based on the given information, the probability that both will test positive is 0.15. Subtract it from 1 to and get the probability that one or more of them tests negative.
probability = 1 - 0.15
probability = 0.85
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Any body know the answer to this question?
The curves are intersecting at (1, 1) and (-10, -4)
Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1
In the above question, a graphical representation of non-linear system of equations is given
We need to find the solution of this non-linear system of equations based on the graphical representation
We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations
We can clearly see that, the curves are intersecting at
(1, 1) and (-10, -4)
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The curves are intersecting at (1, 1) and (-10, -4)
Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1
In the above question, a graphical representation of non-linear system of equations is given
We need to find the solution of this non-linear system of equations based on the graphical representation
We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations
We can clearly see that, the curves are intersecting at
(1, 1) and (-10, -4)
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which plan will result in the prive of feed reaching 12 faster
In plan B the price rises by 10%.
Thus the price rise is per week is $0.8
In plan A the price rise per week is $0.1
In plan C the price rise per week is
[tex]\frac{12-8}{8}=\frac{4}{8}=0.5[/tex]In plan D the price rise per week is $0.25
Considering all the plan the maximum price rise for each week is 0.8.
So the plan that would lead to $12 fastest is plan B.
The answer is plan B.
a $25$ foot ladder is resting against a wall so that the bottom of the ladder is $7$ feet from the wall. the bottom of the ladder starts slipping away from the wall at a rate of $1$ foot per second. how many feet per second is the top of the ladder sliding down the wall when it is $15$ feet above the ground?
The bottom of a 25 feet ladder is propped up against a wall, which is 7 feet away. When the ladder is 15 feet above the ground, 23.3 feet per second is the top of the ladder falling down the wall.
Given that,
The bottom of a 25 feet ladder is propped up against a wall, which is 7 feet away. A feet per second of the ladder's bottom begins to slide away from the wall.
We have to find when the ladder is 15 feet above the ground, how many feet per second is the top of the ladder falling down the wall.
Let us take x = height where the ladder hits the building
7 squared + x squared=25 squared
49+x squared=625
x squared=576
x=24 feet
Now,
If it slips 15 feet that 24-15=9 feet
Let x = distance from wall:
x² + 9² = 25²
x² + 81= 625
x² = 544
x = 23.3 feet
Therefore, when the ladder is 15 feet above the ground, 23.3 feet per second is the top of the ladder falling down the wall.
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One fourth the sum of r and ten is identical to r minus 4.
⇒Mathematically this means
[tex]\frac{1}{4} (r+10)= r-4\\\frac{r}{4} +\frac{10}{4} =r-4\\\frac{r}{4}(4) +\frac{10}{4} (4)=r(4)-4(4)\\r+10=4r-16\\r-4r=-16-10\\-3r=-26\\\frac{-3r}{-3} =\frac{-26}{-3} \\r=\frac{26}{3}[/tex]
Attached is the solution.
A group of friends wants to go to the amusement park. They have no more than $760 to spend on parking and admission. Parking is $17.75, and tickets cost $33.50 per person, including tax. Which inequality can be used to determine x x, the maximum number of people who can go to the amusement park?
write the following number in standard form: nine hundred twenty-eight
In this kind of problem is better to work backwards. We have the number nine hundred twenty-eigh.
This means that the two last digits are a 2 and a 8, becasue we have a "twenty-eight" = 28
And then, we have "nine hundred" = 900
The number whole, then, is:
[tex]928[/tex]What is 7h+(-9.1d)-13+6d-3.5h simplified
After simplification, 7h+(-9.1d)-13+6d-3.5h is 3.5h-3.1d-13.
According to the question,
We have the following expression:
7h+(-9.1d)-13+6d-3.5h
Now, we will simplify it by adding or subtracting the numbers or the numbers with the same variable together. For example, 3.5h can only be subtracted from 7h because both of them h as a variable. And 6d can be subtracted from 9.1d.
(More to know: when a positive and a negative number is multiplied then the result is always negative. In this case, we will multiply +1 into -9.1d.)
Now, let's simplify the given expression:
7h-3.5h-9.1d+6d-13
3.5h-3.1d-13
Hence, the expression obtained after solving the given expression is 3.5h-3.1d-13.
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A segment is m units long. Find the distance between the midpoints of the first and last parts if the segment is divided into 5 equal parts.
The midpoints of the first and last parts are 4/5m units apart
How to determine the distance between the midpoints?The length of the line segment is given as
Length = m units
From the question, the number of partitions is given as
Partition = 5
So, the length of each partition is
Each partition = Length/Partition
This gives
Each partition = m/5
The midpoint of a partition is
Partition midpoint = m/5 x 1/2
Evaluate
Partition midpoint = m/10
The distance between the midpoints of the first and last segments is then calculated as
Distance = Length - 2 x Partition midpoint
So, we have
Distance = m - 2 x m/10
Evaluate
Distance = m - m/5
This gives
Distance = 4/5m
Hence, the distance is 4/5m units
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2. Mr V bought 2 pajama sets for christmas for $25. He realized that he needed 2 more pajama sets. So now he bought 4 pajama sets for $50. Part A: Is this relationship proportional? Explain. *
We will have that the relationship is proportional because each time he bought more sets they had the same cost, and the total cost added to the sum of the independent cost. And we have the following relationship for the 2 sets and 4 sets:
2 sets:
[tex]\frac{25}{2}=12.5[/tex]So, each individual set is $12.5.
4 sets:
[tex]\frac{50}{4}=12.5[/tex]So, each individual set is $12.5.
So, each individual set for each relationship has the same cost, therefore the relationship is proportional.
Write the slope-intercept form of the equation of the line through the given points13) through: (5, 3) and (5, 4)14) through: (0, 4) and (2, 3)15) trough: (-1, 4) and (-4,-5)16) through: (-1, -2) and (-3,0)
The slope-intercept form of the linear equation is
y = m x + b, where
m is the slope
b is the y-intercept
If the x-coordinates of the two points are equal, that means the line is vertical
A vertical line has no slope
Its equation is x = a, where a is the x-coordinate of any point on the line
13) The two points are (5, 3) and (5, 4)
They have the same x-coordinates, then its equation is
x = 5
The rule of the slope is
[tex]m=\frac{y2-y1}{x2-x1}[/tex](x1, y1) and (x2, y2) are two points on the line
The line passes through points (0, 4) and (2, 3)
x1 = 0 and y1 = 4
x2 = 2 and y2 = 3
Substitute them in the rule above to find m
[tex]m=\frac{3-4}{2-0}=-\frac{1}{2}[/tex]The equation is
[tex]y=-\frac{1}{2}x+b[/tex]b is the value of y at x = 0
at x = 0 y = 4
b = 4
The equation of the line is
[tex]y=-\frac{1}{2}x+4[/tex]Please help I need answers right now plsssss. The angle of elevation to a nearby tree from a point on the ground is measured to be 54 degrees . How tall is the tree if the point on the ground is 52 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Using the angle of elevation, the height of the tree is 71.57 feet.
How to find the height of the tree using angle of elevation?The angles of elevation to a nearby tree from a point on the ground is measured to be 54 degrees.
The distance from the tree to the point on the ground is 52 feet.
The height of the tree can be found as follows:
The situation can be modelled to a right triangle.
Therefore, the height of the tree is the opposite side of the right triangle formed.
Hence,
tan ∅ = opposite / adjacent
where
∅ = angle of elevation
tan 54 = h / 52
cross multiply
h = 52 tan 54
h = 52 × 1.37638192047
h = 71.5718598645
Therefore,
height of the tree = 71.57 feet.
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7. Find the area of the figure. 112 cm2 384 cm2 88 cm2
88cm² is the area of the trapezoid in the diagram.
This question is incomplete, the missing diagram is uploaded along the answer below below.
What is the area of the trapezoid?A trapezoid is simply a quadrilateral with at least one pair of parallel sides.
The area of a trapezoid is expressed as;
A = 1/2 × ( a + b ) × h
Where a is length of base a, b is length of base b and h is the height.
Given the data in the diagram;
Length of base a = 8cmLength of base b = ( a + 6cm ) = 8cm + 6cm = 14cmHeight h = 8cmArea A = ?To determine the area of the trapezoid, plug the given lengths into the above formula and solve for A.
A = 1/2 × ( a + b ) × h
A = 1/2 × ( 8cm + 14cm ) × 8cm
A = ( 8cm + 14cm ) × 1/2 × 8cm
A = ( 22cm ) × 4cm
A = 88cm²
Therefore, the area is 88 square centimeters.
Option C is the correct answer.
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Mrs. Doctor made a pot of hot chocolate in the teacher’s lounge. She wants to put 2/3 cup of hot chocolate into mugs to share with the other teachers. The pot holds 10 cups. How many mugs will Mrs. Doctor be able to fill?
Using the mathematical operation of division, Mrs. Doctor can fill 15 mugs using 10 cups.
What is the division operation?The division operation is one of the basic mathematical operations.
The division operation involves using the divisor to divide the dividend, which results in a quotient.
For instance, since the pot holds 10 cups and the distribution is 2/3 cups for each mug, we can divide 10 cups by 2/3 cups to get 15 mugs.
The quantity of hot chocolate for each mug = 2/3 cups
The total number of cups that the pot holds = 10 cups
The number of mugs that can be filled from 10 cups = 15 (10 ÷ 2/3)
Thus, we can divide 10 cups by 2/3 cups to get the number of mugs Mrs. Doctor can fill.
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Does this graph represent a function? Why or why not