Answer:
.05
Step-by-step explanation: .5 would be 50%
4 people are going to a dinner party. Each person at the party will eat pound of pasta. If you can only buy whole pounds of pasta, how many pounds should you buy?
Answer:
4 pounds 1 pound for each person
13) The sum of two numbers is 90. If one of the numbers is x, express the other number in
terms of x. (Use the 1-2-3 Magic method to help you. Use a table!)
Answer:
y = 90 - x
Step-by-step explanation:
x + y = 90
y = 90 - x
What is the solution to the following system of equations?
x-3y=6
2x + 2y = 4
(-1,3)
(3,-1)
(1, -3)
(-3,1)
Answer:
(b) (3,-1)
Step-by-step explanation:
One can determine the correct answer by checking to see if it satisfies the equations.
CheckingThe first equation can be rewritten to ...
x = 6 +3y . . . . . . . add 3y to both sides
This makes it easier to check answer choices:
a) -1 = 6 +3(3) . . . . no
b) 3 = 6 +3(-1) . . . . yes . . . . . (3, -1) is the solution
c) 1 = 6 +3(-3) . . . . no
d) -3 = 6 +3(1) . . . . no
__
Additional comment
We can further convince ourselves this is the correct choice by seeing if it satisfies the second equation:
2x +2y = 4 . . . for (x, y) = (3, -1)
2(3) +2(-1) = 4 . . . . yes
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Jason has $8.69 to spend on beans. Write an equation to represent the situation and solve the equation to find the number of cans Jason can
buy.
An equation to represent the situation and solve the equation of the number of cans of beans Jason can buy is x = 8.69/0.61 and x = 14.
What is an equation?An equation is a statement in mathematical terms that show that two or more algebraic expressions are equal or equivalent.
Algebraic expressions are formed with variables, constants, values, and numbers, in addition to mathematical operands without the equal sign (=).
The total budget on beans = $8.69
The unit price for a can of beans = $0.61
Let the number of cans of beans = x
Equation:x = 8.69/0.61
x = 14.2
x = 14
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Question Completion:The price of a can of beans is $0.61
Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, h greater-than-or-equal-to 0 with d being the distance they can see in miles and h being their eye-level height in feet.
Answer:
3√5 miles
Step-by-step explanation:
We are given the formula as;
d = √(3h/2)
Wyatt:
His eye level is 120 ft above sea level, so;
h = 120 ft
Hence;
d = √(3 × 120/2)
d = √180
d = √(36 × 5)
d = √36 × √5
d = 6√5 miles
Shawn:
His eye level is 270 ft above sea level, so;
h = 270 ft
d = √(3 × 270/2)
d = √405
d = √(81 × 5)
d = √81 × √5
d = 9√5 miles
So to find how much farther Shawn can see to the horizon, we'll subtract the value of d of wyatt from that of shawn.
Thus;
Shawn - Wyatt = 9√5 - 6√5 = 3√5 miles
Answer:
the answer b
Step-by-step explanation:
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
witch of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it
a. length(time)
b.Time(race)
c.time(length)
d.cost(time)
The most appropriate name for the function that takes the length of a race and returns the time needed to complete it would be "time(length)".
When choosing a name for a function, it is important to consider clarity and readability. The name should accurately describe the purpose of the function and provide a clear indication of what it does.
In this case, the function is expected to take the length of a race as input and return the time needed to complete it as output. Among the given options, "time(length)" is the most suitable choice.
a. length(time): This name suggests that the function takes time as input and returns the length. However, in this scenario, we are interested in finding the time needed to complete the race based on its length, so this option is not the best fit.
b. Time(race): This name implies that the function takes a race as input and returns the time. While it conveys the idea of finding the time, it doesn't explicitly mention that the input is the length of the race, making it less clear.
c. time(length): This option accurately describes the purpose of the function, indicating that it takes the length of the race as input and returns the corresponding time. It is concise, clear, and aligns with the conventional naming conventions for functions.
d. cost(time): This name suggests that the function calculates the cost based on time, which is not relevant to the scenario of finding the time needed to complete a race.
Therefore, "time(length)" is the most suitable and appropriate name for the function.
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Select the correct answer. Simplify the following algebraic expression. √45x^5 A. 9x²√5x OB. 91³√5x² О с. 3x²√5x OD. 3r³√5x²
please help me and can you explain how you got your answer
The simplified form of the given algebraic expression is 3x²√5x. The correct option is с. 3x²√5x
Simplifying an algebraic expressionFrom the question, we are to simplify the given algebraic expression.
The given expression is
√45x^5
First, we will write the given expression properly
The expression written properly is
√45x⁵
Simplifying
√45 × √x⁵
√9×5 × √x⁴×x
√9 × √5 × √x⁴ × √x
3 × √5 × x² × √x
3 × x² × √5 × √x
3x² × √5×x
3x² × √5x
3x²√5x
Hence, the simplified expression is 3x²√5x
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SOMEONE ANYONE PLEASE HELP!!!
The graph of g(x) is obtained from the graph of f(x) by the following transformations:
- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).
- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).
In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.
Here is a more detailed explanation of the transformations:
- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).
- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).
4. 4a A line has a slope of -3 and passes through the point 10, By substituting into the equation y = mx + b, find the value of b for this line. Enter your next step here *+ 2 () TOD 2 db 3 8 ی ام
The value of b for this line is 3.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represents the slope or rate of change.x and y are the points.b represents the y-intercept or initial value.Based on the information provided about this line, it has a slope of -3 and passes through the point (1, 0);
y = mx + b
0 = -3(1) + b
b = 3.
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Fill in the blank to complete the calculation using the distributive property.
I need help on this problem for 50 points 3000x9000
Answer:
The answer is 27,000,000
PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
A frame is 6in tall and 8 in wide. What if it was reduced to a width of 4in then how tall will it be
Answer:
3 in
Step-by-step explanation:
Apparently, we are to assume that the height and width are proportional:
height/width = (6 in)/(8 in) = (new height)/(4 in)
Multiplying by 4 in will tell us the new height:
new height = (4 in)(6/8) = 3 in
The reduced frame will be 3 inches tall.
what is greater 0.03 or 0.02
Answer: 0.03
Step-by-step explanation:
At the beginning of every gym class, Mr. Gordon leads the class in a warm-up. In today’s warm-up, the class does jumping jacks for 3 minute. Erin does 54 jumping jacks in that time. Mr. Gordon says the class will do jumping jacks 4 minutes tomorrow. If Erin does jumping jacks at the same rate tomorrow, how many will she she do.
Answer:
Erin will do 72 jumping jacks.
Step-by-step explanation:
We divide 54 by 3 to get Erin's per minute ratio
She gets 18 jumping jacks per minute
We then add that to 54 to get her rate if she did for 4 minutes instead
The answer is 72
hope this helped!
Erin will do 72 jumping jacks in 4 minutes.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, Erin does 54 jumping jacks in 3 minutes.
Therefore, mathematically:
3 minutes = 54 jumping jacks
1 minute = 18 jumping jacks
4 minutes = 72 jumping jacks
Hence, Erin will do 72 jumping jacks in 4 minutes.
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Find the 3rd term in the expansion of ( 5 � − 7 � ) 3 (5x−7y) 3 in simplest form.
The third term in the expansion of the expression (5x - 7y)³ is 735xy².
Given expression is,
(5x - 7y)³
We have to expand this.
We know that,
(a + b)³ = a³ - 3a²b + 3ab² - b³
Using this,
(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³
= 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³
= 125x³ - 525x²y + 735xy² - 343y³
Here the third term is 735xy².
Hence the third term is 735xy².
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I need help this is 6-4 ex use dot....
Based on the dot plots, it appears that students generally did more push-ups this year than last year.
The range of the push-ups completed this year is 12, while the range of the push-ups completed last year is only 10.
How to explain the informationThis means that there is a greater spread of values in the data set for this year, with some students completing many more push-ups than others. In the data set for last year, the values are more evenly distributed, with most students completing between 5 and 10 push-ups.
The range of a data set affects the shape of the dot plot by determining how spread out the values are. A wide range will result in a dot plot that is more spread out, while a narrow range will result in a dot plot that is more compact. In the case of the push-up data, the wider range of values for this year results in a dot plot that is more spread out than the dot plot for last year.
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HELP ASAP WILL MARK BRAINLIEST PLEASE!!
Express your answers in simplest form. An isosceles triangle has a base with a measure of u cm. If the triangle has a perimeter of 16 cm, what is the measure of one of its legs in terms of u?
A hat contains 35 marbles. Of them, 20 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is red? Round your answer to two decimal places. P(A) =
Answer:
P(A) = 0.57 (rounded to two decimal places).
Step-by-step explanation:
The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:
P(red) = number of red marbles / total number of marbles
P(red) = 20/35
We can simplify this fraction by dividing both the numerator and denominator by 5:
P(red) = 4/7
So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.
Therefore, P(A) = 0.57 (rounded to two decimal places).
what is the place value of 8 in fullowing number? 348000
Answer: 8000
Step-by-step explanation:
The 8 in the number 348,000 is in the thousands place.
So it represents the value of 8,000 .
Write the equation of the line perpendicular to 2x+3y=7 that passes through the point (-4, 6). Write your answer in slope-intercept form.
Answer:
Ig This Would Be The Answer
Step-by-step explanation:
Reorder 73 7 3 and 2x3 2 x 3 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 23 .
Complete the proof below that utilizes the Triangle Inequality Theorom.
1. Firstly, statement 1 is given in the question.
\(\bar{PL}\left|\right|\bar{MT}\text{ }\rightarrow\text{ 1. Given}\)2. When two lines cut through two parallel lines, the alternate interior angles are congruent(equal)
So;
\(\measuredangle P\cong\measuredangle T\text{ }\rightarrow\text{ Alternate interior angles are equal}\)3. Given
4. PK = KT
Since K is the mid point of PT as stated in the question, then PK will be of equal length as KT.
\(PK=KT\text{ }\rightarrow\text{ Since K is the midpoint of }\bar{PT}\)5. Vertically opposite angles are equal.
So;
\(\measuredangle PKL=\measuredangle TKM\text{ }\rightarrow\text{ Vertical angles Theorem}\)6. when two corresponding angles and the included side are respectively equal, a triangle is said to be congruent.
\(\Delta PKL\cong\Delta TKM\text{ }\rightarrow\text{ Congruent triangles (SAS- two sides and one including side are equal)}\)7. The Triangle Inequality theorem states that the sum of two sides of a triangle is greater than the third side.
\(PK+KL>PL\text{ }\rightarrow\text{ Triangle Inequality Theorem}\)8. CPCTC means that Corresponding Parts of Congruent Triangles are Congruent.
The corresponding sides of the two congruent triangles are;
\(\begin{gathered} \bar{KL}=\bar{KM} \\ \bar{PK}=\bar{KT} \\ \bar{PL}=\bar{MT} \end{gathered}\)So;
\(\begin{gathered} \bar{KL}=\bar{KM}\text{ .} \\ \bar{PK}=\bar{KT}\text{ }\rightarrow\text{ CPCTC} \\ \bar{PL}=\bar{MT}\text{ .} \end{gathered}\)9. The final one is a conbination of CPCTC and Triangle Inequality theorem
\(\bar{PK}+\bar{KM}>\bar{PL}\text{ }\rightarrow\text{ since }PK+KL>PL\text{ and }\bar{KL}=\bar{KM}\)Write an expression to represent: 9 more than the quotient of 2 and x
Expression for given numerical is: 9+ (2/x)
Given that we have an word equation that is 9 more than the quotient of 2 and x
A quotient is a quantity produced by the division of two numbers.
Quotient of 2 and x is \(\frac{2}{x}\).
Nine(9) more than 2/x is = 9+ (2/x)
So we have an expression that is:
9+ (2/x)
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Violet earned a score of 662 on Exam A that had a mean of 550 and a standard
deviation of 40. She is about to take Exam B that has a mean of 550 and a standard
deviation of 40. How well must Violet score on Exam B in order to do equivalently
well as she did on Exam A? Assume that scores on each exam are normally
distributed.
Answer:
Step-by-step explanation:
662
the dimensions of a rectangle are increased by a scale facor of 2. if the original rectangle had an area of 16 square feet, wbat is the area of the larger rectangle
The area of the larger rectangle is 64 square feet.
We know the area of rectangle with length L and breadth B is given by,
A=L*B
Let the initial length and breadth of the rectangle be L and B respectively.
Given that the original area of rectangle is = 16 square feet
L*B = 16
dimensions of rectangle are increased by scale factor of 2.
So, the length now = 2L
and breadth now = 2B
So the area of larger rectangle = 2L*2B = 4 L*B = 4*16 = 64 square feet
Hence the area of larger rectangle is 64 square feet.
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Enter deg after any value that is in degrees.
The concept of linear pairs from the given diagram shows that; GKH = 90°
How to identify linear pairs?A linear pair is formed when two straight lines intersect to form two angles that are adjacent to each other and are on a straight line.
Now, what this means is that ∠F KG and ∠GKH will sum up to 180 degrees because they are linear pairs from the question.
Due to the fact that ∠F KG = 90°, then we can say that;
∠F KG + ∠GKH = 180°
90° + ∠GKH = 180°
∠GKH = 180° - 90°
∠GKH = 90°
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Use long division to find quotient below
the answer is in the photos
How many three-digit numbers can be formed under each condition?
(a) The leading digit cannot be zero.
(b) The leading digit cannot be zero and no repetition of digits is allowed.
(c) The leading digit cannot be zero and the number must be a multiple of 3.
(d) The number is at least 400.
Answer:
I think A is the right answer