Answers
From Tales theorem: [tex]\dfrac{8x-2}{2x+1}=\dfrac{3z+z+22}{3z}[/tex]
Solving for x:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\12xz-3z=2x(2z+11)+1(2z+11)\\\\12xz-2x(2z+11)=3z+2z+11\\\\x(12z-4z-22)=5z+11\\\\x(8z-22)=5z+11\qquad\qquad\{divide\ both\ sides\ by\ (8z-22)\}\\\\x=\dfrac{5z+11}{8z-22}[/tex]
Solving for z:[tex]\dfrac{8x-2}{2x+1}=\dfrac{4z+22}{3z}\\\\(8x-2)(3z)=(2x+1)(4z+22)\qquad\qquad\{divide\ both\ sides\ by\ 2\}\\\\(4x-1)(3z)=(2x+1)(2z+11)\\\\(12x-3)(z)=(2x+1)(2z)+(2x+1)(1)\\\\(12x-3)(z)-(4x+2)(z)=(2x+1)\\\\\ [(12x-3)-(4x+2)](z)=(2x+1)\\\\(12x-3-4x-2)(z)=(2x+1)\\\\(8x-5)(z)=(2x+1)\qquad\qquad\{divide\ both\ sides\ by\ (8x-5)\}\\\\z=\dfrac{2x+1}{8x-5}[/tex]
Related Questions
How to find a linear scale factor of two similar shapes joined together.
Answers
Answer:
7.5cm
Step-by-step explanation:
the method is shown above
I’ll give brainlest if you get it right if wrong no brainlest
Answers
Answer:
2. Isosceles triangle
3. Isosceles triangle
4. Isosceles triangle
5. Equilateral triangle
6. Scalene triangle or Isosceles triangle
Step-by-step explanation:
Answer:
2) Isosceles triangle
3) Scalene Triangle
4) Scalene Triangle
5) Equilateral Triangle
6) Isosceles triangle
Step-by-step explanation:
the image should help you
My guys do your thing i am giving brainliest
Answers
Answer: 18.84
1. Multiply the radius by two (diameter)
2. Multiply the diameter by pi
3. Round
Answer:
the circles circumference is 18.84 cm
This is something I have been trying forever !!!
Answers
Answer:45 degrees
Step-by-step explanation: The opposite angles theorem
Answer:
45
.................. . ...
Item 1
Question 1
Solve 52x>5. Graph the solution.
Answers
Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.
Answers
Answer
Martin has 50 indie CDs and 70 dance CDs
Step-by-step explanation:
5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs
Maria makes a fruit salad.
The table shows the amounts of different kinds of fruit that she uses.
Kind of Fruit Amount
Grapes 323 cups
Melon 214 cups
Pineapple 234 cups
Strawberries ?
The amount of strawberries that Maria uses is 38 times the amount of the other fruits combined.
How many cups of strawberries does Maria use?
Answers
Answer:
If my calculations are correct it would be 6,168 cups of strawberries
Step-by-step explanation:
If it’s 8 times the amount of them combined then you add all of the other fruit together and then multiply by 8 giving you:
323+214+234=771
771*8=6,168 cups of strawberries.
Only in math would someone need that much fruit
SOMEONE HELP NOW IM ON A TIMED TEST
Margo's hybrid car uses 56 of a gallon of gas for every mile that Margo drives. Margo
drove her car 200 miles to visit her aunt. When she left her house the car's gas tank
was full. When she arrived at her aunt's house the gas tank contained 8 gallons of gas.
She did not stop for gas along the way.
Which equation represents the number of gallons of gas, y, in the car's tank after
Margo drives the car x miles?
Answers
Answer:
It is C
Step-by-step explanation:
The expression (2x2)3 is equivalent to _____.
a.6x2
b.6x5
c.8x6
Answers
Answer:
A
Step-by-step explanation:
(2x2)3
= (4)3
=12
6x2 = 12
So the answer is A
(2x2)3
^
(4)3
^
12
And 6x2=12
same price, d.
) Which model represents the situation?
d
d
10
d
19
.) What is the price of one drink?
d=
7
8
9
ex
4
5
6
Answers
Answer: ddddd
Step-by-step explanation:
Help plzzzzzzzzzzzzzz
Answers
Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?
Answers
Answer:
24:8
Step-by-step explanation:
Given the following data;
Batch = eggs + sticks of butter
4 batches = 12:4
8 batches = 2 * 4 batches
Therefore, 8 batches = 2*(12:4)
8 batches = 24:8
Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.
Answer:
Step-by-step explanation:
the answer is 24:8
- x(x + 7 (x - 5)
Graph this
Answers
Answer:
=−8x2+35x
Step-by-step explanation:
multiply first
Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.
through:
(0,3)(−4,5)
Answers
Step-by-step explanation:
General line equation: y = mx + c
When x = 0, y = 3. => (3) = m(0) + c, c = 3.
When x = -4, y = 5. => (5) = m(-4) + c,
5 = -4m + (3), -4m = 2, m = -0.5.
Hence the answer is y = -0.5x + 3.
Answer:
y=-[tex]\frac{1}{2}[/tex]+3
Step-by-step explanation:
To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)
m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
=[tex]\frac{5-3}{-4-0}[/tex]
=2/-4
=-[tex]\frac{1}{2}[/tex]
next, calculate b by substituting a point (0, 3) into the equation
y=mx+b
3=(-1/2)(0)+b
b=3
final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3
Please helppppp it’s due soon and I’m already failing my class!!!
Answers
Answer:
For an equation like:
y = a*x + b
a is the slope, and this is the rate of change of the function.
For the case of the problem, we know that the equation represents the amount of oxygen in the spaceship as a function of time. Where as the time passes, the quantity of oxygen decreases.
Then the slope is the rate of change that tells how the quantity of oxygen changes as time passes. Then the slope is the amount of oxygen that is consumed per unit of time.
jada made 10 cups of blueberry jam and divided the jam equally among 6 containers. how much jam went into each container
Answers
Answer:
3/5 or 0.6
Step-by-step explanation:
i dont really get the question, but 6+4= 10.
Given the following sequence, which other representations below represent the SAME sequence?
Answers
Answer:
...
Step-by-step explanation:
What is the slope of the line with equation y - 3= -1/2(x - 2)
Answers
Answer:
-1/2
Step-by-step explanation:
according to what I learnt, the general form of every equation is y=mx+c where y is the y value, x is the x value, m is the slope and c is the y-intercept so the equation y-3= -1/2(x - 2) in the general form wil be :
y= -x/2+4 and so m= -x/2 ,that is -1/2
(3,6)
(3,-3)
What is the slope
Answers
Answer:
The slope is 3. Thats what my friend said
Step-by-step explanation:
OK I KNOW I HAVE ASK MORE THAN ONE QUESTION BUT PLZ HELP You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for MEDICARE TAX for this pay period was $
Blank.
Answers
It took Ciera 24 minutes to drive 18 miles. It took chains of one hour to drive 46 miles. Who is driving at a faster rate?
Answers
Answer:
Ciera is driving at a faster rate.
Step-by-step explanation:
You calculate speed, by dividing distance by time.
So 18 divided by 24 is 0.75. That is Ciera's speed.
And then to calculate the other person/thing's speed you have to divide 46 by 60 minutes (equal to one hour). The speed calculates to 0.7666666667
Therefore, Ciera is driving faster.
An 8 ft tall tent standing next to a man casts a 16 ft shadow. If the man is 6 ft tall, then how long is his shadow?
Answers
Answer:
The man's shadow is 12 feet long.
Step-by-step explanation:
In this question, we are given that an 8 foot tall tent casts a 16 foot shadow, and we are asked the calculate the length of the shadow a 6 foot tall man casts.
To solve this problem, find the relationship between 8 and 16- 16 is twice as much as 8, as 8 x 2 = 16.
From this we have: "The shadow of an object is twice as long as the object."
We can use this to calculate the length of the shadow for a 6 foot tall man. Since the height of the man is 6 feet, the length of his shadow would be 12 feet.
Let me know if this helps!
if MP= 6x-5, QR = 3x+1 ,and RN = 6, what is QN
Answers
Answer:
19 units.
Step-by-step explanation:
Consider the below figure attached with this question.
From the below figure it is given that MN=PQ.
It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.
Since non parallel sides are equal, therefore it is an isosceles trapezoid.
The diagonals of an isosceles trapezoid are equal.
Substitute the given values.
The value of x is 4.
Hence, the measure of QN is 19 units.
2x - 4y = 9, What is it you need to know to be able to solve this problem?
Answers
Answer:
What X and Y equal to.
Answer:
you need to know math, and some more math. thats really the answer
Step-by-step explanation:
M is a multiple of 26. Which of the following cannot be true?
A. M is odd
B. M is a multiple of 3
C. M is 26
D. M is zero
Answers
12,400 x one and one fifths. Will the product of this equation be less than or greater than 12,400? EXPLAINNNNN YOUR REASONING PLZZZZ
Answers
Answer:
The product of this equation will be greater than 12,400Step-by-step explanation:
Make this an expression
12,400x1 1/5
Now, Solve this expression
-make 1 1/5 an improper fraction
12,400x 6/5
-multiply the numerators by the numerators and the denominators by the denominators... remember that a whole number's decimal is always 1
12,400/1 x 6/5
12,400x6= 74400
1x5=5
74400/5= 14880
Is 14880 less than or greater than 12400? It is greater.
If 75% of a number is 165 and 10% of the same number is 22, find 85% of that number
Answers
Answer:
187
Step-by-step explanation:
0.75x=165 x=220
220*0.85
which expression is equivalent to (3a+7) (2a-5)?
Answers
If you want me to simplify this is the answer.... 6a^2-a-35
o figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?
Answers
Answer:
40
her age was 36 she added 4nwhich made 40 then doubles makesn80
9514 1404 393
Answer:
76
Step-by-step explanation:
For age 'a', the special number was supposed to be ...
2a +4
Tammi's mother actually calculated it as ...
2(a +4) = 2a +8
a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.
The special number was supposed to be 80 -4 = 76.
The lifetime for a certain type of tre has been shown to be five years the mean) with a standard deviation of 6 months. In a normal distribution, what percentage of these tires will
last more than six years (more than two standard deviations above the mean)?
Answers
Answer:
2.28%
Step-by-step explanation:
mean = 5 years = 60 months
standard deviation = 6 months
X = number of years the tires will last
P = probability of ...
z = z-score
6 years = 72 months
z = (# of months - mean) / standard deviation
z = (72 - 60)/6
z = 12/6
z = 2
P(X > 72) = 1 - P(X < 72)
= 1 - P(z < 2)
(using a Standard Normal Probabilities Table we can see that P(z < 2) = .9772)
So:
= 1 - .9772
= 0.0228 OR 2.28%
