9514 1404 393
Answer:
x = -49/31
Step-by-step explanation:
Fractions can be cleared by multiplying both sides of the equation by 12.
11 = 40x +60 -9x
0 = 31x +49 . . . . . . . . subtract 11, collect terms
0 = x +41/39 . . . . . . . divide by 31
-41/39 = x . . . . . . . . . . subtract 41/39
Communities A,B and C are faced with acute water problem. The distance between communities A and B is 5km and that of A and C 7km. The angle between path AB and AC is 45degrees. If a well is dug for the three communities such that it would have equal distance to the path linking each communities. (a) Indicate by a way of sketching the exact place to dig the well? (b) Measure the distance between communities B and C?
Answer:
a) by finding the incentre
b) 5 km
Step-by-step explanation:
Let the communities A, B and C be shown by the three points of the triangle as shown in the figure below. As the angle between the path Ab and Ac is 45 degrees this is an isosceles triangle having two angles equal. As this is an isosceles triangle it must also have two sides equal .
a) the in center point can be used to have equal distance to the path linking each communities.
We take a compass and draw arcs on the two sides of the vertex and placing the compass on the arcs bisect each angle made by the triangles arms.
Joining the bisectors the lines meet at a point which is highlighted by a circle in the diagram.
This is the incentre which is equidistant from each vertex.
b) Using Pythagorus theorem
c² = a² + b²
7²= 5² + b²
b²= 24
b= 4.89= 5 km
The path between B and C is also 5 km.
You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and two shirts for $84. Your friend buys two pairs of jeans, one pair of shorts, and three shirts for $76. Your cousin buys one pair of jeans, two pairs of shorts, and one shirt for $52. How much does each item cost?
Answer: Cost per pair of jeans = $ 20
Cost per pair of shorts = $12
Cost per shirt = $8
Step-by-step explanation:
Let x= cost per pair of jeans
y = Cost per pair of shorts
z= cost per shirt.
For you, total cost = x+4y+2z= 84
For your friend, total cost = 2x+y+3z=76
For cousin, total cost = x+2y+z= 52
Required system:
[tex]x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)[/tex]
from (i), [tex]x=84-4y-2z[/tex] (*)
put this in (ii) and (iii) we get
[tex]2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)[/tex]
from (iv), [tex]y=-\frac{z-92}{7}\ (vi)[/tex]
[tex]\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)[/tex]
[tex]-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8[/tex]
[tex]\mathrm{Subsititute\:}z=8\text{ in (vi)}[/tex]
[tex]y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12[/tex]
[tex]\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}[/tex]
[tex]x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20[/tex]
Hence, x= 20, y= 12 , z=8
So, Cost per pair of jeans = $ 20
Cost per pair of shorts = $12
Cost per shirt = $8
Mr. Hughes recently planted a crop of money trees in his garden
Amy regularly works 20 hours per week at Smiths Dry
Cleaners Monday through Friday. She earns $10.10 per
hour and receives double-time pay for working nights. This
week Amy worked her regular 20 daytime hours plus an
additional 8 nightime hours.
What will her total pay be for the week? Round your answer
to the nearest cent.
$
15.50 x 20 = $310
31 x 8 = $248
310 + 248 = $558
Her total pay for the week is $558.
Hope you got a good grade!!! :)
a company took 59 employees to a management conference across the country. Each round trip plane ticket cost $799. What was the total amount needed to take the employees to the conference?
Answer:
47,141
Step-by-step explanation:
I'm pretty sure that's right. Hope I helped <3
Answer:
Its this $47,141
The length of a rectangle is 4 times its width. Write three different expressions to describe its perimeter. Explain how you wrote each expression.
Answer:
2(4x+x)
Step-by-step explanation:
Find the GCF of 6 and 15 using lists of factors.
Answer:
gcf of 6 and 15 is 3
Step-by-step explanation:
multiples of 6 are 6, 12, 18, 24, 30, 36, 42, and 48
multiples of 15 are 1, 2, 3, 6, 9, 18
Brett, who is 5 ft tall, is standing next to a flag pole. Brett's shadow is 8 feet long. The flag
pole's shadow is 24 feet long. How tall is the flag pole?
Answer:
15 is the answer
Answer:
15
Step-by-step explanation:
Multiply the length of the flagpole's shadow by your height, and then divide the resulting number by the length of your shadow.
(24x5)/8
120/8
15
please mark as brainliest!!!
Mr. Lee had 45 friction books. He gave 2 books to each
student. He has 1 remaining book. How many students does he
have?
Answer:
He has 22 students
Step-by-step explanation:
45 divided by 2 is 22 with 1 left over
Sam makes $10.25 per hour working at Whataburger. He plans to buy a laptop for $550. Write and solve an inequality describing how
many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)
Answer:
53.658
Step-by-step explanation:
Regina’s teacher recently gave her a homework assignment on solving equations. Since she has been thinking about saving for a new cell phone, she decided to use the assignment as an opportunity to model a savings plan.
She created this equation to model the situation. In it, y represents the total amount saved for the new cell phone, 74 is the amount of money she has now, 40 is the amount of money she saves each month for the phone, and x represents the number of months since she started saving a regular amount:
74 + 40x = y.
She then solved the equation to determine how many months she’d need to save to have enough to purchase the new cell phone. Review her work, and select the error.
Answer:
The answer is 4.
Step-by-step explanation:
In her solution, there is an error in step 4. She used the multiplication property of equality but its a division property.
Given that,
A solution is given, we have to review the solution and mark the steps that contain an error.
In mathematics, it deals with numbers of operations according to the statements.
Here,
In the solution, every step is accurate and correct, except for step 4. she divided the equality by 40 and she wrote the step as multiplication property of equality which is wrong the correct statement for step 4 is the division property of equality.
Thus, in her solution, there is an error in step 4. She used the multiplication property of equality but its a division property.
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someone help me im gonna fail science plsfjidkl
Answer:
it is either 23 or 24 its kinda hard to tell.
Step-by-step explanation:
Answer:
15 degrees
Step-by-step explanation:
Helpp!!!!! What is the solution to the system of equations graphed below?
What do YOU think about LOVE?
Answer: it amazing
Step-by-step explanation:
the soccer team is selling bags of popcorn
Answer:
3p +2c greater than 120. 120∠ 2c + 3p
Step-by-step explanation:
I think this is your answer but, i'm not so sure.
-2 2/3 - (- 1/3) =
.......
Margaret paid 1.37 with q quarters and $0.12 in other change.What is q?
subtraction property of equality
Use the Distributive Property and mental math to find the product. 5 x 49 8 x 56
Answer:
The answer is 139,440Step-by-step explanation:
5x498x56=139,440
will make brainiest Each bag of candy has 20 Twix bars, 15 Hershey's bars, 25 Reese candy, and 12 bags of M&M's. There are 15 of these big bags of candy. 1) What is the total amount of candy 2) Now divide the candy between 15 students. How many pieces of candy does each student get?
1. The total amount of candy is 1,080 pieces of candy.
2. Each student would get 72 pieces of candy.
Answer:
each student will get 5 pieces of candy
Step-by-step explanation:
20+15+25+12 =72
72 divided by 15 = 5
Find the measure of 1 in the figure, shown to the right.
Answer:
∠1 = 81°
Step-by-step explanation:
∠1 and 81° are corresponding angles and corresponding angles are equal to each other.
The measure of ∠1 in the figure is 81°.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given is a figure of two parallel lines which is cut by a transversal line.
There are many properties for the angles formed by the transversal lines.
One of the property is that corresponding angles are equal.
Corresponding angles are the pair of angles which are on the same side of each parallel lines and at the same side of the transversal but at different intersections.
In the given figure,
∠1 and 81°, ∠3 and ∠7, ∠2 and ∠6, ∠4 and ∠8 are corresponding angles.
Since ∠1 and 81° are corresponding angles ∠1 = 81°.
Hence, measure of angle 1 is 81 degrees.
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400 STUDENTS OUT OF 2000 at a school are surveyed. 50 said they play a sport at the high school. Predict the
number of students in the population (the entire school) that would answer similarly.
25
2500
250
0.125
HURRY PLEASE!!!!!!!
Answer:250
Step-by-step explanation:
Solve to find the value for x in the linear equation: 36-4x + 5) = 12
CIE
1 Use the distributive property:
2 Use the subtraction property of equality
3. Division property of equality:
3(-4x) + 3(5) = 12
-12x + 15 = 12
- 12x + 15 - 15 = 12 - 15
-12x = -3
Intro
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given expression:
3(-4x + 5) = 12
To solve for x;
Use the distributive property to open the parentheses;
3(-4x) + 3(5) = 12
-12x + 15 = 12
then, add -15 to both sides;
-12x + 15 + (-15) = 12 + (-15)
-12x = -3
divide both sides by -12;
[tex]\frac{-12x}{-12}[/tex] = [tex]\frac{-3}{-12}[/tex]
x = [tex]\frac{1}{4}[/tex]
what is the answer to :
4 x 10³÷ 2 x 10∧12
Answer:
2x10^15x^2
Step-by-step explanation:
e is 5 more than d.
f is 7 less than d.
Work out
e-f
Simplify your answer.
Answer:
12+2d
Step-by-step explanation:
e=5+d
f=d-7
e-f = 5+d-(d-7)
e-f = 12+2d
The solution of expression e - f is,
⇒ e - f = 12 + 2d
We have to given that,
e is 5 more than d.
And, f is 7 less than d.
Hence, It can be written as,
e is 5 more than d.
⇒ e = 5 + d
And, f is 7 less than d.
⇒ f = d - 7
So, We get;
e - f = (5 + d) - (d - 7)
Combine like terms,
e - f = 12 + 2d
Therefore, The solution of expression e - f is,
⇒ e - f = 12 + 2d
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Yo ! I need help serious
Answer:
$400
Step-by-step explanation:
If you go to the left of the graph from the line, it gets you to 400.
Answer:
$400
Step-by-step explanation:
After a concert for 1,600 people, only 8 people said they would not go to see the band again. What percent of the people who went to the concert said they would not go to see the band again? (10 points). :)
Answer:
0.5%
Step-by-step explanation:
8/1600= 0.005 = 0.5%
Polynomials question.
PLEASE EXPLAIN YOUR ANSWER
Answer:
9x^2-24x+16
Step-by-step explanation:
(3x-4)(3x-4)
FOIL
9x^2-12x-12x+16
9x^2-24x+16
A 5 minute overseas call costs $5.91 and a 10 minute call costs $10.86. The cost of the call and the length of the call are related. What is the cost, c, of a call in minutes duration?
Answer:
For one minute it costs $1.18 so you would just multiply $1.18 by any number to find out how much money is spent for minuets,
Step-by-step explanation:
solve for n -8 = 6+n
Answer:
no solution
Step-by-step explanation:
n -8 = 6+n
Subtract n from each side
n-n -8 = 6+n-n
-8 = 6
This is never true so there is no solution
Answer:
n = -14
Explanation:
-8 = 6 + n
move n over to the left side of the equation
-8 - n = 6
-8 - (-14) = 6