Answers
2x=28
4x-9=47
you solve for x after you add all the sides
Greetings from Brasil...
The perimeter is the sum of all sides of the triangle. In this case
P = (2X) + (X) + (4X - 9)
as P = 89
89 = (2X) + (X) + (4X - 9)
89 = 7X - 9
7X = 98
X = 98/7
X = 14X:
X meters = X = 14
---------------------------------------------
2X:
2X meters = 2 · X = 2 · 14 = 28
---------------------------------------------
(4X - 9):
(4X - 9) meters = (4 · X - 9) = (4 · 14 - 9) = (56 - 9) = 47
Related Questions
Estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019 = A) 40,000 B) 41,000 C) 20,000 D) none of the above
Answers
The estimation of the value is A. 40000.
How to calculate the value?Based on the information, we are to estimate the sum by rounding to the nearest ten thousand. 18,789 + 19,019.
It should be noted that 18789 to the nearest ten thousand is 20000.
Also, 19019 to the nearest ten thousand will be 20000.
Therefore, the addition will be:
= 20000 + 20000
= 40000
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Do the following ordered pairs correspond to a function? {(2,3), (2,4), (3,5), (4,6), (5,7)} and why?
Answers
Answer:
No
Step-by-step explanation:
The x-value of 2 maps onto two values of y, 3 and 4, meaning the relation is not a function.
d + 9 = 35 6th grade
Answers
Answer:
D = 26
Step-by-step explanation:
All you have to do is subtract 35 by 9, which is 26.
So,
26 + 9 = 35
Please help! thanks!
Answers
A soccer coach purchased one goal and some soccer balls for the team. The expression 180 + 15x represents the cost before tax. What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. cost of goal total cost of soccer balls
Answers
The meaning of the terms and factors in the expression are
180 ⇒ cost of goal15x ⇒ total cost of soccer ballsx ⇒ Number of soccer balls180 + 15x ⇒ total cost of soccer balls and goalHow to determine what the different parts of the expression model represents?The expression is given as
180 + 15x
The above expression can be split as follows:
180 15xx180 + 15xThe meaning of the above terms and factors are
180 ⇒ cost of goal15x ⇒ total cost of soccer ballsx ⇒ Number of soccer balls180 + 15x ⇒ total cost of soccer balls and goalRead more about linear functions at
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Rectangle A measures 6 cm by 4 cm. Rectangle B is a scaled copy of rectangle A. Select all of the measurements that could be the dimensions of rectangle B
Answers
The scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .
It is required to find the measurements that could be the dimensions of rectangle B.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given :
Length=6 cm
width=4cm
According to given question we have,
Divide the length and the width of the rectangle we get=
k=Length/width
k=6/4
k=1.5
This means that a scaled copy of rectangle A must have a value of 1.5
when the dimensions are divided.
Possible rectangles are:
A. 12cm by 8cm
Divide the length and the width of the rectangle we get,
k=12/8
k=1.5
B. 48cm by 32cm
Divide the length and the width of the rectangle we get,
k=48/32
k=1.5
Therefore, the scale copy of a shape is the resulting shape when the original shape is dilated. Possible scaled rectangles of rectangle A are 12cm by 8cm and 48cm by 32cm .
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(a)-534° is found in quadrant
Answers
Answer: Quadrant 3
Step-by-step explanation:
Hard to explain.
can someone help me with this
Answers
Identify the segment bisector of
__
XY
Answers
The segment bisector of line segment XY is line n.
The length of the line segment XY is 6 units.
How do you define the line segment?A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.
A line segment's length can be measured in metric units including such millimeters and centimeters, or in customary units such as feet or inches.A bisector is a line that separates a straight line or perhaps an angle into two equal parts. A segment's bisector always contains the segment's midpoint.As per the given diagram in the question.
It is clear that the line segment XY is being divided by another line named n.
Thus,
The two segment of the line segment XY must be equal.
XM = MY
Substitute the values from the diagram;
5x + 8 = 9x + 12
Simplifying;
4x = -4
x = -1
Put the values in each segment;
XM = 5x + 8
XM = 5(-1) + 8
XM = 3 units.
Put the value in MY
MY = 9x + 12
MY = 9(-1) + 12
MY = 3 units.
As, it is clear from above values that the both segment are equal of 3 units each.
XY = XM + MY
XY = 3 + 3 = 6
Therefore, the value of XY is 6 units.
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The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15
Answers
If the axis of symmetry for g(x) is located 2 units to the right of the origin, then the function g(x) = (x-2)2 +k describes this relationship. The best choice would be A in this case.
What exactly is a function?The function is a statement, rule, or law that specifies the connection between one variable and another variable. It does this by comparing and contrasting the two variables.
Functions may be found almost everywhere, and creating links between physical objects requires their use.
Given
The answer to the question f(x) is.
(x+3)^2 -10
The left side by three units serves as the axis of symmetry for the function f(x).
The axis of symmetry for g(x) may be found five units to the right of where f is located (x).
If this is the case, the axis of symmetry for g(x) will be found 2 units to the right of the origin.
After that, the expression for g(x) will be g(x) = (x-2)2 +k.
Therefore, option A is the one to choose.
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Alexandra is creating a video game. Every time the main character jumps in the game, the image follows a translation using the coordinate rule
(
x
,
y
)
→
(
x
+
4
,
y
+
9
)
. If the main character is located at
(
−
5
,
0
)
, what will the new location be after a jump? (
,
)
Answers
Using translation concepts, the new location after the jump will be at (9,9).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The translation rule for this problem is:
(x,y) -> (x + 4, y + 9).
Which means that the coordinates move 4 units right and 9 units up.
The initial position is:
(5,0).
Hence the final position is:
(5,0) -> (5 + 4, 0 + 9) = (9,9).
The new location after the jump will be at (9,9).
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Wilson has a number in mind. If he takes away one-third of the number from it the
result is 10. Find the number.
Answers
hi
if he takes 1/3 , then remains 2/3
then 2/3 X = 10
X = 10 / 2/3
X = 10 * 3/2
X = 30/2
X = 15
let's check :
1/3 of 15 = 15/3 = 5
15 -5 = 10
all macth, so answer is correct
Please help me simplify
Answers
Step-by-step explanation:
3×3^2 is 27 so 27+8÷2 is 31 -(4+3) the answer is 24:)
What is the expanded form of nine billion, eight hundred ninety-two million, eight hundred forty-six thousand, four hundred thirty-seven?
Answers
Answer:
9, 892, 846, 437
Step-by-step explanation:
9 billion = 9,000,000,000
8 hundred million = 800, 000, 000
9 ten million = 90, 000, 000
2 million = 2, 000, 000
8 hundred thousand = 800, 000
4 ten thousand = 40, 000
6 thousand = 6000
4 hundred = 400
3 ten = 30
7 one = 7
Add them all together = 9, 892, 846, 437
Hope this helped! ^^
The ratio of two numbers is 8:7. The product of these numbers is 896. What is the smaller of these two
numbers?
Answers
Answer:
28
Step-by-step explanation:
You want the smaller of the two factors of 896 that have the ratio 8:7.
SetupLet x represent the smaller of the two factors (the one we want to find). Then the larger factor is (8/7)x, and their product is ...
x(8/7)x = 896
(8/7)x² = 896
SolutionMultiplying by the inverse of the coefficient of x², we have ...
x² = (7/8)(896) = 784
x = √784 = 28 . . . . . . . . take square root
The smaller of the two numbers is 28.
__
Additional comment
The larger is (8/7)(28) = 32.
What is 4 gal 6 qt 112 oz in standard notation?
Answers
The value of 4 gal 6 qt 112 oz expressed in standard notation is; 6.375
How to express in Standard Notation?
Standard notation of a number is defined as when a number is written with only number digits. This is the typical way to write numbers since words are not used in standard number notation.
Now, from conversions, we know that;
1 oz = 0.0078125 gallons
1 qt = 0.25 gallons
Thus, 4 gal 6 qt 112 oz expressed in gallons is;
4 + (6 * 0.25) + (112 * 0.0078125)
= 4 + 1.5 + 0.875
= 6.375
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Suppose you invest in an annuity that pays 5% annual interest, compounded quarterly. If you contribute $400 every quarter for 20 years, how much interest would you earn during the 20 years? Enter your answer, rounded to the nearest cent, without the dollar sign or comma ($23,678.1235 should be entered as 23678.12.)
Answers
If you contribute $400 every quarter for 20 years, the amount of interest you would earn during the 20 years is $22,447.52
What future value formula is applicable in this case?
The applicable future value formula is that of an ordinary annuity which determines the future worth of $400 quarterly savings for 20 years bearing in mind that the quarterly interest rate is the annual interest rate divided by 4
FV=PMT*(1+r)^N-1/r
FV=worth of the annuity after 20 years=unknown
PMT=quarterly deposit=$400
r=quarterly interest rate=5%/4=1.25%
N=number of quarterly savings in 20 years=20*4=80
FV=$400*(1+0.0125)^80-1/0.0125
FV=$54,447.52
interest=$54,447.52-($400*80)
interest=$ 22,447.52
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Define the set X = {(x,y)|x > 0,y ≤ √x}.
(a) Sketch the set X in a graph.
(b) Is the set X convex? Explain why or why not.
(c) Is it closed? Explain why or why not. (d) Is it bounded? Explain why or why not. (e) Is it compact? Explain why or why not.
Answers
The set X is convex.
In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.
b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.
c)set X is not a closed set as the compliment of the set is not an open set.
d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.
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2 + (-5) = ? I can't figure this out
Answers
Answer:
Step-by-step explanation:
2 + (-5)
just like subtracting
2-5
=-3
Answer:
-3
Step-by-step explanation:
I have had this question before, and -3 is the answer.
Solve the nonlinear inequality. Expr
x³-9x>0
(-3,0) U (3,00)
Graph the solution set.
How would I graph this on a number line ?
Answers
Answer:
x∈(-3;0)∪(3;+∞).
Step-by-step explanation:
1) if to solve the inequality x³-9x>0, then
x(x-3)(x+3)>0, and solution is
x∈(-3;0)∪(3;+∝).
2) the graph is provided in the attachment (it is marked with red colour).
Help on this question please
Answers
6300 and 530. The value of 3
Answers
Answer:
300 and 30 respectively
Step-by-step explanation:
The 3 in each number can be valued at 3 with the same number of 0s as there are digits to the right of the 3.
For example, in 6300, the 3 stands for 300 because there are two digits (0 and 0) to the right of 3. So we know 3 stands for 300 because we add two 0s to the right of 3.
What is 51 rounded to the nearest tenth subtracted by 20?
Answers
it's due by 12 am. please help as soon as possible
Answers
Answer:
Step-by-step explanation:
25. 5 < x < 7
A group of friends wants to go to the
amusement park. They have no more than
$125 to spend on parking and admission.
Parking is $9, and tickets cost $20 per
person, including tax. Write and solve an
inequality which can be used to determine
p, the number of people who can go to the
amusement park.
Answers
The required inequality solution is x ≤ 8.
What is inequality?
A connection that contrasts two numbers and perhaps other mathematical expressions inequitably is known as inequality in mathematics. On the number line, size comparisons involving two numbers are typically conducted.The interaction between two values that aren't equal is described by inequalities.An unequal comparison between two numbers and perhaps other mathematical expressions is called an inequality.x represents the number(no.) of people who can go to the amusement park.
They have no more than $125(one hundred twenty-five) to spend
Parking 15.00(fifteen), Tickets 12.50(12.five zero) per person
$15 + $12.50x ≤ $125
x = 110/12.5 ≤ 8.8
x ≤ 8
Therefore, the required inequality solution is x ≤ 8.
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Answer:
Inequality: 20p+9 ≤ 125
Answer: p ≤ 5.8
Step-by-step explanation:
Solve:
20p+9≤125
subtract -9 from both sides
20p≤116
20p/20 ≤ 116/20 Divide both sides by 20
p ≤ 5.8
find the area of the figure. use 3.14 for pi
Answers
Answer:
38.13 m²
Step-by-step explanation:
area of triangle = 1/2 base × height
= 1/2 × 4 × 3
= 6 m²
Area of rectangle = length × width
= 6 × 3
= 18m²
Area of semi circle = 180/360 × π × radius²
= 180/360 × 3.14 × 3²
= 14.13 m²
Add all the areas together
6 + 18 + 14.13 = 38.13
6 less the quantity 9 times a number
Answers
Answer:
6-9x
Step-by-step explanation:
Converted from word to standard form.
Hope it helps!
I'm looking for the solution and answer, thanks :)
Answers
The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The function is given below.
f(x) = 7 / (x + 5)
The difference quotient in the form [f(x) - f(a)] / (x - a) will be
[tex]\rm \rightarrow \dfrac{f(x) - f(a)}{x - a}\\\\\rightarrow \dfrac{\frac{7}{x + 5} - \frac{7}{a + 5}}{x - a}\\\\\rightarrow \dfrac{7 \left ( \frac{a + 5 - x - 5}{(x + 5)(a + 5)} \right )}{x - a}\\\\\rightarrow \dfrac{7(a - x)}{(x - a)(x + 5)(a + 5)}[/tex]
Further, simplify the expression, then we have
⇒ - 7 / (x + 5)(a + 5)
The solution of the expression [f(x) - f(a)] / (x - a) will be [-7 / (a + 5)(x + 5)].
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Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each. How many containers can she fill?
Answers
She will need 11 containers.
How to calculate the fraction?From the information, Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each.
The containers needed will be:
= 8 ÷ 3/4
= 8 × 4/3
= 32/3
= 11
He will need 11 containers.
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Students on a campus of a college in California were asked "What will most likely help you to succeed in
college?" The results of this survey are tabulated below.
Reason
have a good roommate
study hard
live on campus
supportive family
always go to class
have a goal in mind
other
(a) What is the relative frequency for the reason "study hard"? (Write your answer as a fraction.)
Answer:
Frequency
583
620
187
163
558
645
439
(b) What is the relative frequency for the reason "have a goal in mind"? (Write your answer as a fraction.)
Answer:
Answers
Using it's concept, the relative frequencies are given as follows:
a) 124/639
b) 43/213
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
For this problem, the number of students is:
583 + 620 + 187 + 163 + 558 + 645 + 439 = 3195.
620 responded study hard, hence the relative frequency is given as follows:
620/3195 (simplifying by 5)
124/639
645 responded goal in mind, hence the relative frequency is given as follows:
645/3195 (simplifying by 5)
129/639 (simplifying by 3)
43/213
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