Answers
Related Questions
solve each of the pairs of simulations equations by elimination
5g+2h=14
3g-4h=-28
Answers
We need to know to solve equations by elimination method to solve the problem. The solution for the given pair of equations is g=0 and h=7.
When we solve a given pair of equations by elimination method, we need to express one of the variables in terms of the other variable and then substitute this value in the other equation to find the value of one of the variables. We use the value of this variable to find the value of the other variable. In this question we have a pair of equations and we need to solve for the variables g and h.
5g+2h=14..(i)
3g-4h=-28..(ii)
From equation (i)
2h=14-5g⇒h=7-5g/2
Substitute this in equation (ii)
3g-4(7-5g/2)=-28
3g-28+10g=-28
13g=0
g=0
Using value of g to find out h
h=7-5g/2=7
Therefore the solution of the given pair of equations is g=0 and h=7.
Learn more about elimination method here:
https://brainly.com/question/2385851
#SPJ1
.
Parcel A is heavier than parcel B by
2.5 kg. Parcel C is lighter than parcel
B by 4.86 kg. How heavy is parcel A if
parcel C is 6.2 kg?
Answers
Answer: 13.56 kg
Step-by-step explanation:
We can make two equations:
1) A = B + 2.5
2) C = B - 4.86
Replace C with 6.2.
(6.2) = B - 4.86 can be rewritten as 6.2 + 4.86 = B.
B = 11.06
Add 2.5 to 11.06 and you get 13.56 kg.
30 points for this if its correct (:
is the number 54.78 x 10 ^-8 written in scientific notation explain.
Answers
The number 0.0000005478 written in scientific notation is 54.78 x 10⁻⁸.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that,
the given number in its scientific notation is 0.0000005478.
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 ✕ 10^8 in scientific notation.
The decimal point must be moved till it is to the left of the first non-zero number in order to be written in scientific notation. The exponent is the number of places the decimal point advances since each movement signifies a "power of 10".
Thus, the number 0.0000005478 written in scientific notation is 54.78 x 10⁻⁸.
Learn more about the number here:
brainly.com/question/17429689
#SPJ1
Question 14 (1 point)
Write the equation for the following graph.
Answers
Answer:
The correct equation is b, x = 4.
Rectangle A is a scaled version of rectangle B. The dimensions of rectangle B are twice the dimensions of rectangle A. The area of rectangle B is 512 sq cm. What is the area of rectangle A?
A. 256 sq cm
B. 192 sq cm
C. 128 sq cm
D. 64 sq cm
Answers
The area of rectangle A is (A) 256 cm².
What are Rectangles?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional shape. The rectangle's longer side is its length, and its shorter side is its width.So, the area of rectangle A:
The dimensions of rectangle B are twice the dimensions of rectangle A.So, rectangle A = 1/2 Rectangle BRectangle A = 512/2 = 256 cm²Therefore, the area of rectangle A is (A) 256 cm².
Know more about Rectangles here:
https://brainly.com/question/25292087
#SPJ9
Answer:
128 cm^2
Step-by-step explanation:
The area of rectangle B is 512 cm2. Since the dimensions of rectangle B are two times larger than the dimensions of rectangle A, the scale factor is 2.
To find the area of rectangle A, first square the scale factor, 2.
2^2 = 4
Next, divide the area of rectangle B by 4.
512 cm^2 ÷ 4 = 128 cm^2
Kylie was out at a restaurant for dinner when the bill came. to find the total plus tip, she multiplied the cost of the meal by 1.2. what percent tip did she leave?
Answers
The percentage of tip that Kylie left is 20%
Finding percentage:
To find the percentage of the number in a given whole number divide the number by the whole number and multiply by 100. To find the percentage of the tip we will calculate the percentage of tips in the total cost.
Here we have,
To find the total plus tip, Kylie multiplied the cost of the meal by 1.2
Let $ x be the cost of the meal
Then total cost plus including tip = x × 1.2 = 1.2x
From the above calculations,
The amount of tip paid by Kylie = 1.2x - x = 0.2x
There percentage of tip = (0.2x)/x × (100) = 20%
Learn more about Percentages at
https://brainly.com/question/28741246
#SPJ4
PLEASE ANSWER RIGHT (First and bottom are wrong
100 points
Answers
Answer:
[tex]36\frac{5}{9}[/tex]
Step-by-step explanation:
Given expression:
[tex]329 \div 9[/tex]
Solve using long division:
[tex]\large \begin{array}{r}36\phantom{)}\\9{\overline{\smash{\big)}\,329\phantom{)}}}\\{-~\phantom{(}\underline{0\phantom{)).)}}\\ {32\phantom{...}}\\{-~\phantom{(}\underline{27\phantom{...}}\\59\phantom{)}\\-~\phantom{()}\underline{54\phantom{)}}\\5\phantom{)}\\\end{array}[/tex]
Therefore, the solution to the given expression is:
[tex]\large\boxe36\frac{5}{9}[/tex]The Sugar Sweet Company delivers sugar to its customers. Let C be the total cost to transport the sugar (in dollars). Let S be the amount of sugar transported (in tons). The company can transport up to 30 tons of sugar. Suppose that =C+120S+3500 gives C as a function of S.
Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.
1. What is domain? (amount of sugar transported (in tons), cost to transport sugar (in dollars)
2 .What is range? (amount of sugar transported (in tons), cost to transport sugar (in dollars)
3. What is set of values of domain?
4. What is set of values of range?
Answers
The potential input and output values of a function are its domain and range respectively as ( 3500 , ∞)
It is specified as follows
the region
This is a list of the function's potential S values
Due to the fact that S refers to a physical quantity, it cannot be less than 0. (i.e. tons of sugar)
Any number greater than zero may be used as S's value.
Thus, the following is the function's domain:
The variety
This represents the function's potential C values.
It is specified as follows:
When S = 0
C = 120 x 0 + 3500 = 3500
The preceding implies that:
C must be more than 3500.
Any number higher than 3500 can be used as the value of C.
Thus, the function's range is as follows: (3500 , ∞ )
Learn more about range and domain at:
https://brainly.com/question/10642735
#SPJ1
The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
Answers
Answer: the volume of cube is 64 x6 + 144x4 + 108x2 + 27.
Step-by-step explanation: As given in the problem statement the volume
V = s3----- (1)
And
s = 4x2 + 3--------(2)
Hence,
the volume is obtained by substituting (2) in (1).
We get,
V = (4x2 + 3)3
= 64 x6 + 144x4 + 108x2 + 27
Therefore,
the volume of cube is 64 x6 + 144x4 + 108x2 + 27.
Answer:
121 units²
Step-by-step explanation:
The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
Volume = s³
s = 4×2+3
so
(4 × 2 + 3)² = (remember PEMDAS)
(8 + 3)² =
11² =
121 units²
Solve this quadratic equation by factoring.
(x-3)^2 =3(x-3)
Please help me i’m very stuck on this equation
Answers
The expression of the given quadratic equation in factor form is (x - 3)(x - 6) = 0 with a solution of x = 3 or 6.
How to factor quadratic equations?
We are given the quadratic expression;
(x - 3)² = 3(x - 3)
By expansion of the brackets, we have;
x² - 6x + 9 = 3x - 9
x² - 6x + 9 - 3x + 9 = 0
x² - 6x - 3x + 18 = 0
By grouping into brackets we have;
(x² - 6x) - (3x - 18) = 0
By bringing out common factors, we have;
x(x - 6) - 3(x - 6) = 0
Thus, we can write it in factor form as;
(x - 3)(x - 6) = 0
x = 3 or 6
Read more about Factoring Quadratic Equations at; https://brainly.com/question/52959
#SPJ1
What is the distance from John’s house to Peter’s house?
Please answer number 4
Answers
The distance between the peter's house and John's house is found as √116 units.
What is termed as the mid point?The coordinate plane is indeed the standard graphing grid, with the x-axis horizontal as well as the y-axis vertical. The axes meet at (0,0), which is recognised as the origin.The coordinate point at the center of the distance line connecting two points is the midpoint. As a result, the midpoint formula is just the average of the x- and y-coordinates.For the given question;
Let the coordinates of the John's house be (x₁, y₁).
Let the coordinates of Paul's house M be (x, y) = ( 3, -5).
Let the coordinates of Peter's house be (x₂, y₂) = (5, -4).
Then, by the formula of mid point.
x = (x₁ + x₂)/2
Put the values and simplifying.
x₁ = (2×3) - 5
x₁ = 1
Similarly for the y coordinates.
y = (y₁ + y₂)/2
Put the values and simplifying.
y₁ = (2×-5) - 4
y₁ = -14
Thus, the coordinates of the John's house is found as (1, -14).
Now, the distance between peter's house and john's house is;
d = √(x₁ - x₂)² + (y₁ - y₂)²
Put the values;
d = √(5-1)² + (-4+14)²
d = √(4)² + (10)²
On simplification,
d = √116 units.
Thus, the distance between the peter's house and John's house is found as √116 units.
To know more about the mid point, here
https://brainly.com/question/5566419
#SPJ13
The range
feet
4. A penny is dropped from the top of the Statue of Liberty, which is 305 feet tall. The height of the
penny, h, at time t seconds can be represented by the equation h(t) = -16t² + 305. After 4 seconds,
how much further does the penny need to travel before it hits the ground?
Answers
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Explain about equation?Expressions that add up to one another make form an equation. A formula is an equation containing two or more variables that shows how the variables relate to one another. A line with the equation y=mx+b, where m denotes the slope and b the y-intercept, is an example of a linear equation.
Given that we've done it
h(t)=-16t²+305
Here, h stands for the penny's height.
The time is expressed as t in seconds.
Now, t equals 4 seconds.
The distance the penny must travel before it touches the earth is explained by
h(4)=- 16(4)² + 305
h(4)=- 16 x 16+ 305
h(4)= 256 - + 305
h(4)= 49 feet
Hence, penny need to travel 49 feet before it hits the ground
To learn more about equation refer to:
https://brainly.com/question/2972832
#SPJ9
there may be more then one answer
will give brainlest
Answers
Answer:
6(4u+3u)
Step-by-step explanation:
4u+3u= 7u
you add the 4u and the 3u because they're inside the parentheses
and then you get 6(7u)
Triangle ABC and triangle DEF are similar. What is the measure of side DF?
2 right triangles. First has points A, B, C. Distance from A to C is 9 centimeters. Distance from B to C is 15 centimeters. Second has points D, E, F. Distance from E to F is 25 centimeters. Distance from D to F is question mark centimeters.
Answers
The given side lengths of AC, BC, and EF, of the similar triangles, using the ratio of similarity between segments of similar figures, gives;
The measure of side DF as 15 centimeters
What is the ratio of similarity?When two figures are similar, the corresponding side pairs have the same ratio of one to the other.
The given information on the two triangles are;
Triangle ∆ABC is similar to triangle ∆DEF
Triangle ∆ABC and triangle ∆DEF are right triangles
The length of segment AC = 9 centimeter
Length of segment BC = 15 centimeters
In triangle ∆DEF, we have;
Length of segment EF = 25 centimeters
Required;
The length of segment DF
Solution;
By comparison, the corresponding sides of the two triangles are;
AC corresponds to DF
BC corresponds to EF
In similar triangles, the ratio of the corresponding sides are the same, which gives;
[tex] \displaystyle{ \frac{AC}{DF} = \frac{BC}{EF} }[/tex]
[tex] \displaystyle{ \frac{9}{DF} = \frac{15}{25} }[/tex]
[tex] \displaystyle{ DF = \frac{9 \times 25}{15} = 15 }[/tex]
The measure of side DF is 15 centimeters
Learn more about similar triangles in geometry here:
https://brainly.com/question/2644832
#SPJ1
HELP QUICK plsplslpslpslspslsplspslspslspsls
Answers
Answer: 3,52 x 10²
Step-by-step explanation:
Answer:
3.5 x [tex]10^{2}[/tex]
Step-by-step explanation:
Multiply the numeric values times each other and add the exponents:
(3.2 x 1.1) x ([tex]10^{-7}[/tex] x [tex]10^{9}[/tex])
3.52 x [tex]10^{2}[/tex]
To one significant figure: 3.5 x [tex]10^{2}[/tex]
Jessie draws a marble from the bag shown and then, without replacing the first marble,
he draws a second one.
Which expression shows the probability that he drew a red marble both times?
O 3/10 3/10
O3/10 3/9
3/10 2/10
O3/102/9
Answers
Answer:
Last choice:
3/10 · 2/9
Step-by-step explanation:
The total number of marbles and the number of red marbles is not provided but only one answer fits the problem solution
3/10 x 2/9 which is the last choice
It can be deduced that there are 10 marbles totally and 3 of them are red
The probability of a red marble on first draw = 3/10
After the first draw given a red marble was drawn, there are 2 red marbles and total of marbles so the probability of a second red marble = 2/9
The combined probability is 3/10 x 2/9
Point U is on the line segment TV given TU = 4 UV =5x and TV =3x+6
I need help
Answers
Solving a linear equation that comes from the relation:
TV = TU + UV
We will see that the value of x is 1.
How to find the value of x?I'm answering the question you wrote.
We know that point U is on the line segment TV, then we can write:
TV = TU + UV
This says that the total length of TV is equal to the sum of the two segments in it.
It says:
"the length of segment TV is equal to the sum between the lengths of segments TU and UV"
Here we know that:
TU = 4
UV = 5x
TV = 3x + 6
Then we can write the linear equation:
3x + 6 = 4 + 5x
And solve this for x.
3x + 6 = 4 + 5x
6 - 4 = 5x - 3x
2 = 2x
2/2 = x
1 = x
The value of x is 1.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
A container is shaped like a cylinder and has a volume of 125.7 cm³. If
the height of the container is 10 cm, what is the radius of the container?
Answers
The radius of the cylindrical container with a volume and height of 125.7cm³ and 10cm is 2cm.
What is the radius of the cylindrical container?The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
Volume of the cylinder V = 125.7cm³Height of the cylinder h = 10cmRadius of the cylinder r = ?To determine the radius of the cylindrical container, plug the given values into the formula above and solve for r.
V = π × r² × h
r² = V / ( π × h )
r² = 125.7cm³ / ( 3.14 × 10cm )
r² = 125.7cm³ / ( 31.4cm )
r = √( 125.7/31.4 cm² )
r = 2cm
Therefore, the radius of the container is 2 centimeters.
Learn more on volume of cylinder here: brainly.com/question/16788902
#SPJ1
Triangle XYZ is shown on the coordinate grid. The coordinates of each vertex of the triangle are integers.
What is the slope of XZ ?
Answers
The slope of line segment XZ in triangle XYZ is: -1/3.
What is the Slope of a Line Segment?Given a line segment on a coordinate plane, we can find the slope of the line by using two points on the line to find the ratio of change in y / change in x = (y2 - y1)/(x2 - x1).
The coordinates of the two points of line segment XZ in triangle XYZ are:
X(1, 5) = (x1, y1)Z(7, 3) = (x2, y2)Plug the values into the formula used for finding the slope of a line:
Slope of line segment XZ = change in y / change in x = (5 - 3)/(1 - 7)
Slope of line segment XZ = 2/-6
Slope of line segment XZ = -1/3
Learn more about slope on:
https://brainly.com/question/13861479
#SPJ1
The regression equation y=3.610*1.194^x approximates the cost to go on a safari, y,given the number of years since it opened in 2005, X.What is the best estimate of the cost to go on a safari in 2,022 ? Round your answerto the nearest dollar.
Answers
Step 1:
Write the regression line equation.
[tex]y\text{ = 3.610 }\times1.194^x[/tex]Step 2:
y represents the cost and x represent the number of years.
From 2005 till 2022
x = 17 years
Step 3:
Let find the cost to go on a safari in 2022.
[tex]\begin{gathered} y\text{ = 3.610 }\times1.194^x \\ \text{Substitute x = 17} \\ y\text{ = 3.610 }\times1.194^{17} \\ y\text{ = 3.610 }\times\text{ 20.37387116} \\ y\text{ = 73.54967489} \\ y\text{ = \$74} \end{gathered}[/tex]Final answer
The cost to go on a safari in 2022 = $74
Alyssa rode her bicycle 14.2 miles in 0.8 hours. What is the number of miles she rode per hour?
Answers
Answer:
17.75
Step-by-step explanation:
maths helppppppppppp
Answers
Answer:
Acute
Step-by-step explanation:
Answer:
It is Acute.
Step-by-step explanation:
To be right triangle it has to be all perfect sides same length, to be obtuse has to be wider to the sides but this one is acute because it goes inside.
please help, ive been stuck on this for a while
Answers
Answer: A≈1922.46
Step-by-step explanation: A=6a^2=6·17.92≈1922.46
Please help!! I'm really bad at this and would appreciate some help on how to figure this out
Answers
The probability of either a dot or a dragon tile is 48/64
Number of dot tiles in Mahjong game = 36 tiles
Probability of a dot tile = 36/64
Number of wind tiles in Mahjong game = 16 tiles
Probability of a wind tile = 16/64
Number of dragon tiles in Mahjong game = 12 tiles
Probability of a dragon tile = 12/64
Total number of tiles in the Mahjong strategy game = 36+16+12 = 64 tiles
Probability of Grace's drawing a dot or a dragon tile:
(Number of dot tiles + Number of dragon tiles)/ Total number of tiles in the game
= (36+12)/64
= 48/64
Learn more about probability:
https://brainly.com/question/11234923
#SPJ1
Triangle PQR is a right triangle. The triangle has vertices P(-2,4), Q(3,4) and R(-2,-2) What is the length of segment PQ?
Answers
Answer:
Length of segment PQ = 5
Step-by-step explanation:
Coordinates of P (-2, 4) and coordinates of Q are (3,4)
y coordinates are the same so the segment PQ is a horizontal line
The length is simply the difference between the x coordinates = 3 -(-2) = 3 + 2 = 5
Help me please brainly to correct answer
Answers
Answer:
[tex]y - 3 = -\dfrac{1}{4}(x - 4)[/tex]
Step-by-step explanation:
This can be solved without too much calculation
First note that the lope of the graph is negative. If you look at the graph, as x increases, y decreases so that indicates a negative slope
We can safely eliminate the last two options because the coefficient of x in both is +1/4 indicating a positive slope
That leaves the first two for consideration
We can plug in the x, y values for the given point (4, 3) which lies on the line and see which of the equations is consistent, i.e whether the LHS and RHS of the equation match
Putting y = 3 and x = 4 in the first equation y - 4 = -1/4(x - 3) gives us
3 - 4 = -1/4(4-3) ??
-1 = -1/4(1) ?
-1 = -1/4? NO
So the correct choice is the second option and we can verify that by plugging in (4, 3) into y - 3 = -1/4(x - 4)
y - 3 = 3 - 3 = 0
x - 4 = 4 - 4 = 0
So 0 = -1/4(0) = 0
which is consistent
Can someone help please how do you solve (3x-5)(3x+5) It would be so much help high school is so stressful right now
Answers
Answer:
Step-by-step explanation:
(3x−5)(3x+5)
Multiplication can be transformed into difference of squares using the rule: (a−b)(a+b)=a
2
−b
2
.
(3x)
2
−5
2
Expand (3x)
2
.
3
2
x
2
−5
2
Calculate 3 to the power of 2 and get 9.
9x
2
−5
2
Calculate 5 to the power of 2 and get 25.
9x
2
−25
ln(x+2) + ln(2x-1) = 0
Answers
By solving a quadratic equation we will find two solutions, one is good and that is x = 0.62, and the other is extraneous and is x = -1.62
How to find the value of x?Here we have the following equation:
ln(x + 2) + ln(2x - 1) = 0
To solve this we need to know two things, first:
ln(a)+ ln(b) = ln(a*b)
ln(1) = 0
Using the first property, we can rewrite:
ln(x + 2) + ln(2x - 1) = ln( (x + 2)*(2x - 1)) = 0
And that can only be equal to zero if:
(x + 2)*(2x - 1) = 1
So we have a quadratic equation:
(x + 2)*(2x - 1) = 1
2x² - x + 4x - 2 = 1
2x² + 3x - 3 = 0
The solutions are:
[tex]x = \frac{-3 \pm \sqrt{3^2 - 4*3*(-3)} }{2*3} \\\\x = \frac{-3 \pm 6.7 }{6}[/tex]
So we have:
x = (-3 + 6.7)/6 = 0.62
x = (-3 - 6.7)/6 = -1.62
The second solution when evaluated in the second term of the equation gives:
ln(2*(-1.62) - 1) = ln(-4.24)
And this is not defined, so x = -1.62 is an extraneous solution.
Learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ1
A spinner with 10 equally sized slices has 3 yellow slices, 2 blue slices, and 5 red slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow or blue slice? Write your answer as a fraction in simplest form.
Answers
The probability that the dial stops on a yellow or blue slice is 50%.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the event's impossibility and 1 indicates certainty.
An event's likelihood of occurring increases with its probability. The flip of a fair (unbiased) coin serves as a straightforward illustration. Since there are no other possible outcomes and the coin is fair, the probability of both the outcomes, "heads" and "tails," is half.
The total no. of outcomes in the events = 10
Outcomes favourable to yellow and blue = 3 + 2
= 5
Probability = outcomes favourable/total no. of outcome
= 5/10
= 1/2
= 1/2 × 100%
= 50%
Thus, The probability that the dial stops on a yellow or blue slice is 50%.
Learn more about probability
https://brainly.com/question/24756209
#SPJ9
if 3x=5 what’s 3^4x=
Answers
Answer:
135
Step-by-step explanation:
If 3x = 5, x = 5/3
3^4 = 81
3^4 x = 81x = 81 x 5/3 = 135
