Solve the system of equations. show your work/explain how you found your answer.
2x-4y=10
x+5=40
Answer:
Look at step-by-step explanation
Step-by-step explanation:
Work on the second equation first.
x + 5 = 40
Get all variables on one side:
x = 35
You now have the answer for the variable of x, use this on the first equation:
2x-4y=10
2(35)-4y=10
Subtract 70 from both sides:
70-4y=10
Divide both sides by neagtive 4:
-4y=-60
y=15
The sum of 7 and Chau's height is 48.
Answer:
7+c=48
Step-by-step explanation:
When given a system of equations in slope-intercept form, is graphing or substitution the most efficient method to solve?
Jordan will hike the trail shown at a rate of 2 mi/h. Write a linear equation to represent the distance Jordan still has to
walk after x hours. What does the y-intercept of the equation represent?
Answer:
If y represents the distance Jordan still has to walk after x hours, then the equation [tex] y = -2x + 13 [/tex] describes the given equation.
The y-intercept of the equation represents total distance of the trail
Step-by-step explanation:
A linear equation can be written to represent the situation above using the slope-intercept equation form, which is given as [tex] y = mx + b [/tex]
Where,
m = slope or rate of change = -2 mi/h (the slope is negative, because distance remaining decreases as hours increases)
b = y-intercept = 13 miles (this is the total distance of the trail. x (hours) is zero at this point)
The equation of the given situation, in slope-intercept form would be:
[tex] y = -2x + 13 [/tex]
A linear equation can be use to describe Jordan's distance because the
rate of change of the distance with time is constant.
First part: The linear equation is; y = 13 - 2·xSecond part: The y-intercept represents the total distance of the trail.Reasons:
From the map in the question, we have;
The distance of the trail Jordan has to hike = 13 miles
The rate at which Jordan will work = 2 mi/hr.
Part One:
Required:
The linear equation that represents the distance Jordan still has to walk
after x hours.
Solution:
Let y represent the distance Jordan still has to walk after x hours
The distance walked per hour = 2 miles
The distance walked after x hours = x × 2 miles = 2·x miles
Total distance = 13 miles
Distance remaining = Total distance - Distance walked
Distance remaining, y = 13 - 2·x
The linear equation that gives the distance Jordan still have to walk after x hours, is therefore;
y = 13 - 2·x
Second part:
The y-intercept is the y-value when x = 0
Therefore;
The y-intercept is; y = 13 - 2 × 0 = 13
Therefore;
The y-intercept represents the distance Jordan has to walk at the start
when the time, x, is 0, which is 13 miles or the the entire distance Jordan
has to walk.
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WXYZ is a kite. Angle WXY has a measure of 133 degrees and angle ZWX has a measure of 60 degrees. Find the measure of angle ZYW.
Answer:
ZYW = 17.
Step-by-step explanation:
ZYW = XYW = 180 - 133 + 30(sum of angles in a triangle) = 17.
The measure of angle ZYW is 17.
Given that,
The Angle WXY has a measure of 133 degrees.And, the angle ZWX has a measure of 60 degrees.Based on the above information, the calculation is as follows:
= 180 - 133 - 30
= 17
Also ZYW = XYW
Therefore we can conclude that the measure of angle ZYW is 17.
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A washer and a dryer cost $796 combined. The washer cost $54 less than the dryer. What is the cost of the dryer?
Answer:
The cost of the dryer would be 425$
Step-by-step explanation:
796 - 54 = 742
742 ÷ 2 = 371
371 = washer cost
371 + 54 = 425
425 = dryer price
======================================================
Explanation:
w = cost of washer
d = cost of dryer
costs are in dollars
w+d = 796 since the two costs combine to get a total cost of $796
w = d-54 because the washer is $54 cheaper
-------------------------
Let's start with the first equation and plug in the second equation
w+d = 796
(w) + d = 796
(d-54)+d = 796 ... replace w with d-54
d-54+d = 796
2d-54 = 796
2d = 796+54 ... adding 54 to both sides
2d = 850
d = 850/2 ... dividing both sides by 2
d = 425
The dryer costs $425
We can stop here.
-------------
If you want to find the cost of the washer, then,
w = d-54
w = 425-54 .... plug in d = 425
w = 371
The washer costs $371
Note that
w+d = 371+425 = 796
which matches with the total cost we were given. This confirms our answer.
Question 2
Keep the triangle that you created in Question 1. You will now copy the triangle to a different location on the grid using two of its angles and the included side:
In a different place on the grid, draw a new line segment of the same length as the line segment recorded in Question 1. (This will be easier if you draw the new line segment parallel or perpendicular to the corresponding line segment from Question 1.)
At each endpoint of the new line segment, create an angle of a given size. Size the angles using the angle measurements you recorded in Question 1.
Once you’ve created the angles, draw a ray through each endpoint at the specified angle measurement.
Place a point at the intersection of the two rays.
Finish copying the triangle by drawing a polygon through the three points you created.
Answer:
The triangles appear to be the same size and shape.
Step-by-step explanation:
The new triangle formed is congruent to the former one.
From question 1 the data has been revised. Which form a triangle.
Here same triangle to be determine.
Similar triangles, are those triangles which have similar properties, i.e. angles and proportionality of sides.
Here,
We have triangle from question 1 solution. While copying triangle we used to draw three sides over the measure of angles and size of the sides to get copy of triangle. The triangle obtained will be congruent to the former triangle.
Thus, the new triangle formed is congruent to the former one.
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A school principal plans to form teams from 126 third-graders, 180 fourth-graders, and 198 fifth-graders so that there is the same number of students from each grade level on each team. If all students participate, what is the largest possible number of teams and how many students will there be on each team?
Answer:
There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders
Step-by-step explanation:
126 third-graders
180 fourth-graders
198 fifth-graders
Find the highest common factor of 126, 180, 198
Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.
Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.
The highest common factor of 126, 180, 198 is 9
The largest possible number of teams that can be formed is 9
Each team has
third-graders = 126 / 9
= 14
Fourth-graders = 180 / 9
= 20
Fifth-graders = 198 divided by 9
= 22
There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders
If you walk 100 m forward And 35 m backwards towards your starting point would what is the distance and displacement explain your answer
Answer:
imater?
Step-by-step explanation:
evaluate the expression 81-8^2
Answer:
17
Step-by-step explanation:
Do the exponent first, then subratct it to 81
Answer:
thats easy 17
Step-by-step explanation:
Write an algebraic expression for the difference of 5 from b .
Answer:
b-5
Step-by-step explanation:
Hector is visiting a cousin who lives 360 miles away. He has driven 70 miles. How many more miles does he need to drive to reach his cousin's home? Let d be how many miles left to reach his cousin's home.
Answer:
260 miles.
Step-by-step explanation:
350-90=260
If you see the word difference in an equation, it means to subtract. :) hope that helps
3. The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean of 9.1 picomoles per liter and a standard deviation of 3.5 picomoles per liter. Find the probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter.
Answer: 0.8956
Step-by-step explanation:
Given: The daily surface concentration of carbonyl sulfide on the Indian Ocean is normally distributed, with a mean [tex]\mu=100[/tex] picomoles per liter and standard deviation of [tex]\sigma=3.5[/tex] picomoles per liter.
Let X be the daily surface concentration of carbonyl sulfide.
The probability that on a randomly selected day, the surface concentration of carbonyl sulfide on the Indian Ocean is less than 13.5 picomoles per liter [tex]= P(X<13.5)[/tex]
[tex]=P(\dfrac{X-\mu}{\sigma}>\dfrac{13.5-9.1}{3.5})\\\\=P(Z<1.257)\\\\= 0.8956\ \ \ [\text{By p-value table}][/tex]
Hence, the required probability = 0.8956
Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15…
Answer:
10000000000000000000000,
the next number: 1-934028049747284
that's all
pls report
thanks!))))
Step-by-step explanation:
If g is the midpoint of AB, classify each triangle by its angles and sides
Each triangle can be classified by its angles and sides in the following ways :
triangle CFE = triangle CFE is a right angle triangle ( as one of its interior angle measures 90° ) . Triangle CFE is also a scalene triangle ( as none of its sides are equal ) .triangle BEC = Triangle BEC is a right angle triangle . It is also a scalene triangle ( as none of its sides or angle are equal ) .triangle BFG = triangle BFG is an equilateral triangle ( all of its sides are equal ) and it is also an acute angle triangle ( all of its angle will be equal to 60° , which is acute ) .triangle GAF = Triangle GAF is an isosceles triangle ( two of its sides - GF and GA are equal ) . It is also an obtuse angled triangle ( one of its angle measures 120° ) .ASAP!! PLEASE I NEED HELP!!
A farmer needs to fence a rectangular plot of land with the area of 3000 square yards. He considers several possible length of the plot: 50 yards, 40 yards, 48 yards, and 36 yards. What will be the width of the plot in each case? Do the length and the width of the rectangular plot vary directly or inversely when the same area is needed? Explain why.
Answer:
If the length is 50 yd, the width is
yd.
If the length is 40 yd, the width is
yd.
If the length is 48 yd, the width is
yd.
If the length is 36 yd, the width is
yd.
The length and the width vary .
Answer:
If the length is 50 yd, the width is 60 yd.
If the length is 40 yd, the width is 75 yd.
If the length is 48 yd, the width is 62.5 yd.
If the length is 36 yd, the width is 83.33 yd.
The length and the width vary inversely because when the length decreased the width increased
Step-by-step explanation:
The area of any rectangle A = L × W, where
L is its lengthW is its widthThe relation is direct proportion if the quotient of two quantity equals constant (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)
∵ The area of the rectangular plot of land = 3000 yards²
∴ A = 3000
∵ Its length = 50 yards
∴ L = 50
→ Substitute them in the rule above to find W
∵ 3000 = 50 × W
→ Divide both sides by 50 to find W
∴ 60 = W
∴ The width of the plot is 60 yards
∵ Its length = 40 yards
∴ L = 40
→ Substitute them in the rule above to find W
∵ 3000 = 40 × W
→ Divide both sides by 40 to find W
∴ 75 = W
∴ The width of the plot is 75 yards
∵ Its length = 48 yards
∴ L = 48
→ Substitute them in the rule above to find W
∵ 3000 = 48 × W
→ Divide both sides by 48 to find W
∴ 62.5 = W
∴ The width of the plot is 62.5 yards
∵ Its length = 36 yards
∴ L = 36
→ Substitute them in the rule above to find W
∵ 3000 = 36 × W
→ Divide both sides by 36 to find W
∴ 83. 33 = W
∴ The width of the plot is 83.33 yards
∵ The area is a constant value
∵ A = LW
→ The product of L and W equals the constant value, can you discover
that from the values of L and W
∴ The length and the width of the rectangular plot vary inversely
The length and the width of the rectangular plot vary inversely when the same area is needed.
Area of Rectangle:Area of rectangular plot [tex]=length *width[/tex]
Given that, Area of plot is 3000 square yards.
If the length is 50 yards. Then,[tex]width=\frac{3000}{50} =60yd[/tex]
If the length is 40 yards. Then,[tex]width=\frac{3000}{40}=75yd[/tex]
If the length is 48 yards. Then,[tex]width=\frac{3000}{48}=62.5yd[/tex]
If the length is 36 yards. Then,[tex]width=\frac{3000}{36}=83.34yd[/tex]
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need help not sure
Answer:
6
Step-by-step explanation:
You add 3 and 5 to get 8 and then you will subtract 2 from 8 to get 6
Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.
The graph is steeper than the graph of f(x) = x2.
The graph is the same as the graph of f(x) = 6x2 + 12x - 3.
Answer:
the graph opens upward
the graph is steeper then the graph of f(x) = x2
and the graph is the same as the graph of f(x)=6x2 + 12x -3
Step-by-step explanation:
The statements graph opens upwards, graph is steeper than the graph of f(x) = x² and graph is the same as the graph of f(x) = 6x² + 12x - 3 are true about the graph f(x) = 6(x + 1)2 -9.
What is a function?A function can be thought of as an output for the given set of inputs.
Given f(x) = 6(x + 1)² - 9.
f(x) = 6( x² + 2x + 1) - 9.
f(x) = 6x² + 12x + 6 - 9.
f(x) = 6x² + 12x - 3.
The graph opens upward as the coefficient of x² is positive.
The graph is steeper than x² as it has a multiplication factor of 6.
The graph is the same like f(x) = 6x² + 12x - 3 as we have already found out by simplifying.
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1.Solve: 12 2
Its urgent need these answered, please
Answer:
K must be greater than 5
G must be less than 4
Step-by-step explanation:
write an equation to solve for x 8x+2 14x-76 will give brainiest
Answer:
8x + 2 = 14x - 76Step-by-step explanation:
just add both corresponding angles
What is fo)?
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1, 2 and 12
9514 1404 393
Answer:
f(0) = 12 . . . only
Step-by-step explanation:
We don't know your intended meaning of "fo)". If it is supposed to be f(0), that is the value of the function at x=0, in other words, the y-intercept.
The graph of f(x) crosses the y-axis at y=12, so ...
f(0) = 12
Answer: 4,12
Step-by-step explanation: Gimme points I counted the lines where the f(x) is located at then found 4 same for y ( I started with X then Y)
Translate the sentence into an equation.
Twice the difference of a number and 2 equals 6.
Use the variable b for the unknown number.
Answer:
2(b-2)=6
Step-by-step explanation:
Twice the difference means multiply the difference by two
It explains the difference being between the unknown number(b) and 2
The answer is said to be six
So you put the difference (b-2)
Multiply it 2(b-2)
and finally, add the answer: 2(b-2)=6
The equation for the given sentence is 2(b-2)=6 and the unknown number is 5.
Given that, twice the difference of a number and 2 equals 6.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Use the variable b for the unknown number.
2(b-2)=6
⇒ b-2=3
⇒ b=5
Therefore, the equation for the given sentence is 2(b-2)=6 and the unknown number is 5.
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what is 4.8367 rounded to the nearest hundredth
Answer:
4.84
Step-by-step explanation:
4.84 is the nearest hundredth number of 4.8367.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
4.8367 is a decimal number.
Four point eight three six seven is the given decimal number.
We have to round the decimal number to the nearest hundredth.
In the given decimal number the value at hundredth position is 3.
We need to follow the rules when rounding a decimal number.
if the last digit is less than 5, round the previous digit down.
if it's 5 or more than you should round the previous digit up.
In the given decimal number on right of 3 it is 6 which is more than 5. So we need to round the increase the value of 3 by 1 which makes it 4.
Hence 4.84 is the nearest hundredth number of 4.8367.
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Here's what Gabriel and Kayla actually wrote.
Gabriel: 3x+6
Kayla: 3(x+2)
These expressions are equivalent.
What do you think that means?
The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.solve the formula for h if b=3
Answer:
[tex] h = \dfrac{A - 9}{6} [/tex]
Step-by-step explanation:
A=b^2+2bh
b = 3
A = 3^2 + 2(3)h
A = 9 + 6h
6h = A - 9
[tex] h = \dfrac{A - 9}{6} [/tex]
The required expression for the slant height is h = [A - 9] / 6 .
Given that,
The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant height.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A=b²+2bh
According to the condition,
put b = 3
A = 3² + 2 * 3 h
A = 9 + 6h
h = [A - 9] / 6
Thus, the required expression for the slant height is h = [A - 9] / 6 .
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The price of a stock steadily decreased by a total of $123 over the past 14 months.
What happened when the stock decreased by $123?
The manufacturer of a soccer ball claims that only 3% of the soccer balls produced are faulty. An employee of this company examines the long-run relative frequency of faulty soccer balls produced as shown in the graph.
A graph titled Faulty Soccer Balls has frequency on the x-axis, and probability on the y-axis. The graph levels out around y = 0.06.
Which conclusion can be drawn from this graph?
The company’s claim seems to be true because the graph shows that when 50 soccer balls were tested, only about 3% of them were faulty.
We should not believe the company’s claim that only 3% of their soccer balls are faulty because this graph shows a continuous increase in probability.
Because the graph shows that the probability of producing a faulty soccer ball is 0.03, we can believe the company’s claim that only 3% of the produced soccer balls are faulty
The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.
Answer:
The answer is D
Step-by-step explanation:
Answer:
D. The graph shows that the probability of producing a faulty soccer ball is about 0.06; therefore, we should not believe the company’s claim that only 3% of the produced soccer balls are faulty.
Step-by-step explanation:
Order these in descending order (greatest to least). 3/20, 0.15%, 0.015
Answer:
3/20, 0.015, 0.15%
Step-by-step explanation:
Solve -40=3m-16 for m
Answer:
m = -8
Step-by-step explanation:
Re-arrange: 3m - 16 = -40Add 16 to each side, so it now looks like this: 3m = -24Divide each side by 3 to cancel out the 3 next to m. It should now look like this: m = -8I hope this helps!
Write as a product:
25a^2−0.01b^10
Answer:
(5a + 0.1b^5)(5a + 0.1b^5)
Step-by-step explanation:
25a^2 − 0.01b^10 =
This follows the pattern: x^2 - y^2 = (x + y)(x - y)
= (5a + 0.1b^5)(5a + 0.1b^5)