Simplify 4G+ 16H - 8J = 32.
Select one:
O a. G + 4H-2J = 8
O b. G + 4H-2J = 32
O c.
2G+8H4J = 16
O d.
4G+ 2H-J = 4
O e. 12(G+ H-J) = 32
Olivia purchases gifts for her mom and grandma for Mother’s Day the first pair as a pair of sunglasses for $16.35 and the second is a bracelet your total is 39 and $.75 how much did she spend on the bracelet
Olivia purchases gifts for her mom and grandma for Mother's Day. The linear equations in first is a pair of sunglasses for $16.35 and the second is a bracelet. Her total spend $39.75.
She spend $23.4 on the bracelet.Given that
Olivia purchases gifts for her mom and grandma for Mother’s Day.The linear equations first is a pair of sunglasses for $16.35 and the second is a bracelet.She used total $39.75 for gifts.o find
How much did she spend on the bracelet?So, according to the question
We have
Total amount spend by her = $39.75.The amount of the pair of sunglasses = $16.35.So, we can say that
The amount of bracelet = Total amount spend by her - The amount of the pair of sunglassesNow, putting the all given values,
So, we get
= $(39.75 - 16.35)
The amount of bracelet = $ 23.4
She spend $ 23.4 on bracelet for Mother’s Day.
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Steve is on a baseball team. Steve has hit 5 home runs in the thirty-five times that Steve has been up to bat. At this pace, how many bats would Steve need to hit twenty-four home runs?
Chapter 15 Questions 4) In the diagram below, ABCD is a rectangle and triangle DEF is formed by joining the midpoints of AB and BC. a) determine the area of rectangle ABCD in terms of x and y, b) If the shaded area of triangle DEF is 15m², determine the value of xy. c) Hence, determine the area of triangle EBF
a) The area of rectangle ABCD in terms of x and y = 4xy.
b) xy = 10
c) area of triangle EBF = 5 m².
What is defined as the rectangle?A rectangle is a covered two-dimensional shape with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal as well as parallel. Because a rectangle is a 2-D shape, it has two dimensions: length and width. The length of the rectangle is the longer side, and the width is really the shorter side.Part A) The area of rectangle ABCD:
See the diagram;
The length of rectangle is 2x.
The width of breadth is 2y.
Area = length×breadth
Area = 2x × 2y
Area of ABCD = 4xy m².
Part b) value of xy.
The area of the triangle DEF is 15m².
area ΔDEF = area ABCD - area ΔADE - area ΔBEF - area ΔDFC.
Put the values;
area ΔDEF = 4xy - 2xy/2 - 2xy/2 - xy/2
area ΔDEF = 3xy
equate;
ΔDEF = 3xy and DEF = 15m².
3xy/2 = 15
xy = 10
Thus, the value of xy = 10.
Part c) area of triangle EBF:
area ΔEBF = xy/2
Put the value of xy = 10.
area ΔEBF = 10/2 = 5
Thus, the area of the triangle EBF 10m².
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pleaseeee help!!!!!!
Answer: 5. x=110 degrees
y=70 degrees
6. c=8
Step-by-step explanation:
5. x=110 degrees ==> x and 110 are congruent angles.
110+y=180 ==> y is the supplement of an angle which is congruent to 110.
110-110+y=180-110
y=180-110
y=70 degrees
6. c/4 = 6/3
c/4 =2
c=8
Find the equation of the line shown below
Answer:
Below in bold.
Step-by-step explanation:
The slope = rise / run
= 5/10
= 1/2.
General form of the straight line is
y = mx + c where m = the slope and C is the y-intercept
Here m = 1/2. and c = 0
So, the answer is y = 1/2 x.
An angle and a ray are drawn on a piece of paper, what is the maximum number of
points at which the two figures could intersect?
A. 0
B. 1
C. 2
D. 3
E. infinitely many
Which axis is triangle ABC reflected across?
Triangle ABC is reflected across the y-axis. The two congruent triangles are mirrored across the y-axis, thus they are reflected.
6: Give the translation rule, any coordinate point will shift 4 units to the left and rise up 8 units.
What is the translation ruleThe translation rule describes how each coordinate point of the original triangle ABC moves to form the reflected triangle after the reflection across the y-axis.
To reflect a triangle across the y-axis, all you need to do is change the sign of the x-coordinate while keeping the y-coordinate the same. Using this rule, every point on the original triangle ABC will move 4 units to the left and go up 8 units to create the reflected triangle A'B'C' after the reflection.
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Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
Perimeter:
Área:
The area and Perimeter of (ΔABC) are respectively; 17.5 square units and 24.16 units
What is the area and Perimeter of the Triangle?
The formula for the area of a triangle ABC with 3 coordinates is;
Area (ΔABC) = (¹/₂) |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|
The coordinates are;
(x₁, y₁) = (-6, 6)
(x₂, y₂) = (2, 3)
(x₃, y₃) = (-3, -2)
Thus;
Area (ΔABC) = (¹/₂) |-6(3 − (-2)) + 2(-2 − 6) + -3(3 − 6)|
Area (ΔABC) = (¹/₂)|-30 - 16 + 9|
Area (ΔABC) = ¹/₂ * |-35|
We are taking absolute value and so;
Area (ΔABC) = ¹/₂ * 35
Area (ΔABC) = 17.5 square units
To get the perimeter, we will use distance formula between two coordinates and we have;
AB = 8.544
BC = 7.071
AC = 8.544
Thus;
Perimeter = 2(8.544) + 7.071
Perimeter = 24.16 units
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Find the distance between the two points (9,1), (-8,7)
Step-by-step explanation:
use distance formula for answer
A rectangular tank measuring 27.0 cm times 7.0 cm times 11.25 cm contains a gas sample that has a density of 0.020 g/ml what is the mass of the gas contained in the tank
The mass of gas contained in the tank is 42.525 g. It is calculated using the concept of density and volume of a substance.
What is density?
Density is generally defined as the mass per unit volume. Its representation is done using the symbol p. SI unit of density is kg / (m)3.
Calculation of the total mass of gas contained in the rectangular tank
Given:
Length of the rectangular tank, l = 27 cm
Breadth of the rectangular tank, b = 7 cm
Height of rectangular tank, h = 11.25 cm
Volume of rectangular tank = l × b × h
= 27 × 7 × 11.25
= 2,126.25 cubic cm
Density = 0.020 g/ml (1 ml = 1 cubic cm)
Mass / Volume = 0.020
Mass = 0.020 × 2,126.25
= 42.525 g
Hence, the mass of gas contained in the tank is 42.525 g.
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what is the value of 5^5/5^2=?
By using the exponential value calculation, the value of 5^5/5^2 is 125.
How do we calculate an exponential value?The multiplier is represented by the base B, which is written as "B x," and the exponent "x," which indicates how many times the base is multiplied. When "8" is the base, "3" is the exponent, and the entire equation is the power, the result is 8X8X8=512.
It can be expressed as -
5⁵ / 5² = 5×5×5×5×5 / 5×5
= 5 × 5 × 5
= 5³
= 125
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A student did six of ten problems correctly.
a. What is the ratio of the number right to the number wrong?
b. For every two answers that were wrong, how many answers were right?
5 feet.
The ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.
Ratio, in mathematics, is a term used to compare two or more numbers. It is used to indicate the size of one quantity relative to another. In a report, two quantities are compared by division. Here the dividend is called the "prepayment" and the divisor is called the "consequence".For example, in a group of 30 people, 17 of them like to walk in the morning and 13 of them like to ride a bike. We use the ratio formula while comparing the relationship between two numbers or quantities. The general form of representing the ratio between two quantities, for example "a" and "b", is a:b, read as "a is b".i) Total number of problems =10
Correct problems = 6
Incorrect problems = 4
Ratio = Correct / incorrect
Ratio = 6/4
Ratio = 3/2
= 3 : 2
ii) The ratio of the number of correct problems to the number of bad problems, i.e. 3:2, represents that for every three problems the student can correct, both problems are wrong.
Hence, the ratio is 3 : 2 and for every two incorrect problems he did three problems correctly.
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Find the component form of u v given the lengths of u and v and the angles that u and v make with the positive x-axis. u = 5, u = 9 v = 1, v = 5
The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:
[tex]\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}[/tex]
where |v| is the magnitude of the vector component and theta is the angle of the vector.
Using the magnitude and angle given for vector u we can write its component form :
[tex]\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}[/tex]
Doing the same for v
[tex]\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}[/tex]
Now adding both vector together
[tex]\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})[/tex]
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find the largest value of $n$ such that $5x^2 nx 48$ can be factored as the product of two linear factors with integer coefficients.
If we can write
[tex]5x^2 + nx + 48 = (ax + b) (cx + d)[/tex]
then expanding the right side gives
[tex]5x^2 + nx + 48 = acx^2 + (ad+bc)x + bd[/tex]
so that [tex]ac=5[/tex], [tex]ad+bc=n[/tex], and [tex]bd=48[/tex], where [tex]a,b,c,d[/tex] are integers. We want to maximize [tex]ad+bc[/tex].
5 is prime, so [tex](a,c)[/tex] can be either (1, 5) or (5, 1). Let [tex]a=5[/tex] and [tex]b=1[/tex]. Then maximizing
[tex]ad+bc=5d + c[/tex]
is just a matter of picking the largest possible value for [tex]d[/tex], which is 48. Then [tex]\max\{ad+bc\}=5\times48+1\times1=\boxed{241}[/tex].
Which of the following is not a function? (There may be more than one answer). Explain Clearly.
Answer:
Function A is a function because the inputs on the table do not repeat any number, implying that each input has exactly one output. Function B is not a function because the inputs show that the number 6 is repeated. Function C is not a function because if we make a table, we can see that numbers repeat on the input, so Function C is not a function. Function D is a function because it would pass the vertical line test because no lines overlap with each other or have the input repeating.
Using the function concept, it is found that relations b and c does not represent a function.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
On a graph, it means that each value of x is mapped to only one value of y, that is, there are no vertically aligned points on the graph.
For this problem, relation c does not represent a function, as there are multiple values of x are related to two values of y, and there are vertically aligned points on the graph.
In item b, when x = 6, there are two values of y, hence this is also not a function.
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subtract 2a-3b from b-a
Answer:
Answer: (2a+3b)-(a+b) = a + 2b.
Answer:
-2a² - 3b² + 5ab
Step-by-step explanation:
(b-a) - (2a-3b)
= b(2a-3b) -a(2a-3b)
= 2ab - 3b² - 2a² + 3ab
= -2a² - 3b² + 3ab + 2ab
= -2a² - 3b² + 5ab
last one for this type of equation
Answer:
a.
t=11
A=210-14(11)
A=210-154
A=56
$56 left
b.
A=0
0=210-14t
14t=210
t=210/14
t=15
in 15 trips he'd be broke
Mount Everest has an elevation of about 8850 meters.
Any location above 8000 meters is in the death zone,
which is the elevation at which there is not enough
oxygen to sustain human life. Write an inequality
that represents the possible elevations of climbers
in the death zone on Mount Everest.
The inequality that represents the possible elevations of climbers in the death zone on Mount Everest is 8000 < x ≤ 8850
How to write an inequality that represents the possible elevations of climbers in the death zone on Mount Everest.The given parameter is'
Height = About 8850 meters
Death zone = Location above 8000 meters
Let the height be represented with x
So, the inequality that represents x is
Death zone < x ≤ Height
This gives
8000 < x ≤ 8850
Hence, the inequality that represents the possible elevations of climbers in the death zone on Mount Everest is 8000 < x ≤ 8850
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Here are two box plots:
95
95
100
100
105
box plot A
105
box plot B
110
110
115
115
1. Which box plot has a greater median? v
2. Which box plot has a greater measure of variability
Answer:
Box plot B
Step-by-step explanation:
Hope this helps
A figure has two pairs of parallel sides and four right angles. The figure is translated four units down. how many parallel sides does the image have?
Additionally, the picture would contain two parallel side pairs.
What are parallel lines?Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.
How many sides of the picture are parallel?The parameters are as follows:
two parallel side pairsFour equal angles.4 units less translationA stiff transformation is the translation transformation.
This indicates that it maintains the orientation that is changing.
Two sets of parallel sides comprise the initial figure.
There would be two sets of parallel sides on the picture as a result.
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PLEASE HELP
also do the check ur work side to plssss
Answer:
k = -10
Step-by-step explanation:
(-8-3k)/2 = 11
Multiplying both sides with 2:
2{(-8-3k)/2} = 11(2)
-8-3k = 22
-8-3k+8 = 22 + 8
-3k = 30
k = 30/-3
k = -10
Check:
(-8-3k)/2 = 11
Putting the value of k that is -10:
{-8-3(-10)}/2 = 11
(-8+30)/2 = 11
22/2 = 11
11 = 11
Hence, it is proved that, k is, in fact, equal to -10
Solve for the value of t.
Answer: t =
(6t+6)°
(7t-7)⁰
Submit Answer
Step-by-step explanation:
t = 7°
Use angles on a straight line add up to 180°.
What additional information is obtained from an ordinal scale compared to a nominal scale?
An ordinal scale provides more information than a nominal scale since values linked with an ordinal variable will be in natural order, whereas values connected with the nominal variable won't.
Types of Variables:Ordinal variables as well as nominal variables are the two categories of variables listed here. This sort of variable cannot be submitted to the same forms of statistical tests as interval and ratio variables, hence it is crucial to be able to recognize them accurately. Both of these variables fall within the qualitative category. This contrasts with interval as well as rate variables, both of which are categorized as quantitative.
An illustration of an ordinal variable is a Likert scale with words for mood (such as joyful, neutral, or sad). An illustration of a nominal variable is the names of cities in the Canadian province of Alberta.
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You are solving a measurement problem where the numbers 3.021 x 109 and 1.0482 x 10−4 are divided. How many significant digits should the quotient have?
2
3
4
5
The number of significant digits the quotient should have is 5. Option D
What are significant digits?Significant digits are important single digits from 0 to 9 in the coefficient of an expression.
They are also known as meaningful digits.
Significant figures or digits are the zeros that occur between any two non zero digits.
From the information given, we have;
3.021 x 109 1.0482 x 10−4Let's take the quotient
3.021 x 10^9 /1.0482 x 10^−4
This gives;
2. 88208 × 10^13
We can see that the number of significant digits are 5
Thus, the number of significant digits the quotient should have is 5. Option D
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|-8| tango examen mañana ayuda
Answer:
bein estas for
Step-by-step explanation:
lerni :) kaj preterpasi
Need help on question 6!!!
In the figure below, m Z1=(x+88)° and m2=3x°.
Find the angle measures.
J
1
2
m21=
m42=
Answer:
m<1 = 111 degrees, m<2 = 69 degrees
Step-by-step explanation:
The measure of angles 1 and 2 are supplementary, (two angles adding up to 180 degrees). Using this, set up the equation:
x + 88 + 3x = 180
4x = 108
x=23 degrees
Next, substitute 23 into the given angles:
m<1 = (23 + 88) = 111 degrees
m<2 = 23 * 3 = 69 degrees
Thus, m<1 = 111 degrees, m<2 = 69 degrees. Hope this helps
Make a table of ordered pairs for the equation.
y=12x−3
Answer:
slope:12
Step-by-step explanation:
I HOPE IT HELP YOU
0_<
Answer:
12
Step-by-step explanation
The graph of y = |x +4|-8 is reflected across the y-axis and then translated down 2 units. What is an equation of the transformed graph?
O A. y = -|x +4|-10
O B. y= |4 - x|-6
O C. y = -|x + 4|-6
D. y= |4 - x|-10
The equation of resulting graph upon undergoing the transformations as described in the task content is; Choice B; y= |4 - x|-6.
What is the equation of the resulting graph formed from the transformations as described in the task content?It follows from the task content that the equation of the transformed graph be determined.
First, since the graph is reflected over the y-axis, the x-value becomes negative as; -x.
Hence, the resulting equation is;
y = |-x + 4|-8
y = |4 -x|-8
Also, when the graph is translated 2 units down; we have;
y -2 = |4 -x|-8
y = |4 -x|-8 +2
y = |4 -x| -6
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