Answer:
The sum of the internal ángles = 360°
(3y+40)° and (3x-70°) are suplementary angles = 180°
then:
(3x-70) + (3y+40) + 120 + x = 360 ⇒ first eq.
(3y+40) + (3x-70) = 180 ⇒ second eq
development:
from the first eq.
3x + x + 3y = 360 + 70 - 40 - 120
4x + 3y = 430 - 160
4x + 3y = 270 ⇒ third eq.
3y = 270 - 4x
y = (270 - 4x) / 3 ⇒ fourth eq.
from the secon eq.:
3y + 3x = 180 + 70 - 40
3y + 3x = 250 - 40
3y + 3x = 210 ⇒ fifth eq.
multiply by -1 the fifth eq and sum with the third eq.
-3y - 3x = -210 ⇒ (fifth eq. *-1)
3y + 4x = 270
⇒ 0 + x = 60
x = 60°
from the fourth eq.
y = (270-4x)/3
y = (270-(4*60)) / 3
y = (270 - 240) / 3
y = 30/3
y = 10°
Probe:
from the first eq.
(3x-70) + (3y+40) + 120 + x = 360
3*60 - 70 + 3*10 + 40 + 120 + 60 = 360
180 - 70 + 30 + 40 + 120 + 60 = 360
180 + 30 + 40 + 120 + 60 - 70 = 360
430 - 70 = 360
Answer:
y = 10
Please help me with this question!!
Answer:
The correct result is 2 pounds per quart
Step-by-step explanation:
Dividing Fractions
The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:
[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}[/tex]
This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:
[tex]\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}[/tex]
Jessie was dividing these two fractions:
[tex]\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}[/tex]
And got the incorrect result
[tex]\displaystyle \frac{1}{32}\ \text{ pound per quart}[/tex]
This mistake was probably the result of multiplying both fractions instead of dividing them.
The correct operation is:
[tex]\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2[/tex]
The correct result is 2 pounds per quart
There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several weeks later, the overall change in the water level is found. The results are shown in the table. What is the range of the data?
2.5
0.7
-2.2
2.1
2.3
-1.6
1.1
-2.4
2.7
1.2
Answer:
4.5
Step-by-step explanation:
The range of the given data would be 5.1 which is determined by the difference between the maximum value and the minimum value of data.
What is the range of data?The range of data is defined as a measure of the difference between the maximum value of data and the minimum value of data.
The given results data are as:
{ 2.5, 0.7, -2.2, 2.1, 2.3, -1.6, 1.1, -2.4, 2.7, 1.2 }
To determine the range of the data, we have to find the maximum value of the data and the minimum value of the data.
As per the given results,
The maximum value of data = 2.7
The minimum value of data = -2.4
So the range of the data would be:
⇒ the maximum value of the data - the minimum value of the data.
⇒ 2.7 - (-2.4)
⇒ 2.7 + 2.4
Apply the addition operation, and we get
⇒ 5.1
Therefore, the range of the given data would be 5.1.
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If your balance is $90 dollars & you have to pay a $10 deposit fee how much left do you have to pay
Answer:
90 minus 10 is 80 so $80 left
PLEASE HELP !!!!!!
(also please don’t reply if you don’t know) thx
Answer:
1. 270 meters
2. 9 centimeters
3. 14 kilometers
4. 135 square meters
5. 24 square meters
6. the volume of the swimming pool is 144
Step-by-step explanation:
John took 8 hours to drive 385 miles. He believes that at this same rate he will need at least 17 hours to drive 1000 miles which is the best estimate of the total amount of time he will need to drive 1000 miles
A- 17
B- 19
C-21
D-15
Answer:
Step-by-step explanation:
Step one:
give data
time= 8hours
distance=385mile
speed=?
Step two:
let us solve for the speed
Speed= distance/time
Speed=385/8
speed=48.125miles per hour
Step three:
let's find the time taken to cover 1000mile at the speed of 48.125 mi per hour
speed=distance/time
time=distance/speed
time=1000/48.125
time=20.779hours
approximately 21 hours
Solve for x. 0 = 2x² + 3x + 5
Answer: No real solutions.
Step-by-step explanation:
write an equation of a line passing through point p(4, 0) that is parallel to the line -x+2y=12
Answer:
y = [tex]\frac{1}{2}[/tex]x - 2
Step-by-step explanation:
Given parameters:
Coordinates = p(4,0)
Equation of the line -x+2y=12
Solution:
A line parallel to the given line will have the same slope as it is;
-x+2y=12
2y = x + 12
y = [tex]\frac{1}{2}[/tex]x + [tex]\frac{12}{2}[/tex]
Since this conforms to y = mx + c where;
x and y are the coordinates
m is the slope
c is the intercept
Our slope is [tex]\frac{1}{2}[/tex]
The equation of the line is
y = mx + c
let us find c;
c = y - mx
c = 0 - ([tex]\frac{1}{2}[/tex] x 4)
c = -2
Now the equation of the line parallel to the line given is;
y = [tex]\frac{1}{2}[/tex]x - 2
they only said simplify and i guessed the answer as undefined
Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is __
Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Step-by-step explanation:
Given: Humans shed about 3million particles of skin every 5 hours.
Since, 1 million = 1,000,000
Then 3 million = 3 x 1 million
[tex]= 3 \times1,000,000[/tex]
[tex]= 3,000,000[/tex]
[tex]=3\times10^6[/tex]
On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6
So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Answer:
6
Step-by-step explanation:
First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.
After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.M., what time did he leave his house?
The time Nate left his house is 8 : 40 am
After leaving his house, Nate drove 15 minutes to take his oldest daughter to the middle school . Therefore,
Time spent to middle schoolt = 15 minutesThen he drove ten minutes to take his two younger daughters to the elementary school. Therefore,
Time spent to elementary schoolt = 10 minutesHe drove twenty-five minutes to work. Therefore,
Time spent to workt = 25 minutesHe arrived at work at 9:30 am. The time he left home can be calculated as follows:
Total time spent on the road = 15 + 10 + 25 = 50 minutes
Therefore,
Time he left home = 9:30 - 50 = 8 : 40 am
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Plzs help I give u BRAINLIST
Answer:
$30,170.36
Step-by-step explanation:
I'm good at math, and I double checked with someone... I am perfectly sure that $30,170.36 is the answer.
A sweater us on sale for $16, which is 80% of the original price. What is the original price of the sweater?
Answer:
$28.80
Step-by-step explanation:
16 times 0.8 = 12.8 + 16 = 28.80
Find the value of each variable.
Answer:
19. x = 65
20. x = 12
21. x = 35, y = 85
Step-by-step explanation:
19. 2x -10 = 120
2x (-10 + 10) = (120 +10)
2x/2 = 130/2
x = 65
20. 2x + 4x + 108 = 180
6x + (108 - 108) = (180 - 108)
6x/6 = 72/6
x = 12
21. 2x + 25 = 3x - 10
2x + (25 - 25) = 3x (- 10 - 25)
(2x - 3x) = (3x - 3x) - 35
-x/-1 = -35/-1
x = 35
3x - 10 + y = 180
3(35) - 10 + y = 180
105 - 10 + y = 180
(95 - 95) + y = (180 - 95)
y = 85
michael jordan only has 1.8 pieces of greatest of all time
and lebron james has 8.48 pieces of greatest of all time
answer 8.48 x 1.8 when you get the answer add it woth 8.48 and 1.8
will give brainliest
Answer:
25.544
Step-by-step explanation:
Find the measurement of PQ. Assume the drawings are not drawn to scale
Answer:
25.7 cm
Step-by-step explanation:
Determine the height of the triangle if the area is 24 square inches and the base is 12 inches.
Answer:
4
Step-by-step explanation:
We use 1/2base times height to find the area and since we already have an area we just do 24= 6h then we divide 6 on both sides and height equals 4
Answer: 6 inches
Step 1: Subtract 12 because 12 iches is the base.
24 - 12 = 2
Step 2: Divide 12 by 2 because triangles have two equal sides.
12 ÷ 2 = 6
Answer = 6
answer with explanation pls
Answer:
8.69>8.6
Step-by-step explanation:
Because 8.69 has .09 more than 8.6
Answer:
8.69 > 8.60
Step-by-step explanation:
You need to add a zero to the end to 8.6 so it's easier to compare. Since all the digits in the two numbers are the same except 9 and zero, those are what you need to compare. 9>0, so 8.69 > 8.6
hope this helped! :)
It is known that
solve for the value of x algebraically.
Answer:
this question doesn't make since
Step-by-step explanation:
Write the equation y=4x+9 in standard form using integers.
Answer:
[tex]4x-y=-9[/tex]
Step-by-step explanation:
The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.
To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.
[tex]4x-y=-9[/tex]
I hope this helped you :D
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The standard form of the equation y = 4x + 9 is
-4x + y = 9.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 2 is an equation.
2x + 4y + 4 is an equation.
We have,
y = 4x + 9
This is in the slope-intercept form of an equation.
The standard form of an equation is written as:
x + y = c
We need to keep the variable in the equation on one side and a constant on the other side of the equation
Now,
y = 4x + 9
Subtract 4x on both sides.
y - 4x = 4x + 9 -4x
y - 4x = 9
-4x + y = 9
This is in the form of a standard equation.
Thus,
The standard form of the equation y = 4x + 9 is
-4x + y = 9.
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√10 • √8 =
A. 4√5 or
B. 3√2
Which one?
Answer:
A. ([tex]4\sqrt{5}[/tex])
Step-by-step explanation:
√10 • √8 = [tex]\sqrt{80}[/tex] - They combine into one.
[tex]\sqrt{80}[/tex]
/ \
[tex]\sqrt{20}[/tex] [tex]\sqrt{4}[/tex]
[tex]\sqrt{4}[/tex] = 2
[tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]
2 * 2 = 4
[tex]4\sqrt{5}[/tex] is the answer.
i feel bad for asking a longer question but i'm really in need of help to finish my test review its a big grade and i'm struggling on this problem
Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
x² - y²
Answer:
-3
Step-by-step explanation:
-1*-1=1
2*2=4
1-4
=-3
Give an example of a real number that is not rational.
Answer:
A not rational number is called a irrational number btw. Anyway Some examples are √2 and pi.
PLEASE HELP! WILL MARK BRAINLIEST!!
Answer:
<RQS=121
Step-by-step explanation:
please mark brainleist
Joe plans to book a trip for his family. The base rate for the trip will be 800$ and 75$ for each additional person going, write an equation to represent the linear function in slope intercept form
Answer:
y = 75x + 800
Step-by-step explanation:
Answer:
y = 75x + 800
'x' represents the number of people
800 represents the base rate
HURRY!!!! I need help with this asap!!!!!
use two unit multipliers to convert:
A. 6 miles to inches
B. 20 square feet to square inches
Answer:
380,160 and 2nd one should be 240
Step-by-step explanation:
Can a decimal that has repeating digits after the decimal point be converted into a fraction? It depends on what the digits are that repeat. It depends on the number of digits that repeat. No, because the decimal is irrational, and no irrational numbers can be converted to fractions. Yes, because the decimal is rational, and all rational numbers can be converted to fractions.
Answer:
It depends on what digits repeat
Step-by-step explanation:
A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.
For example, let’s have 4/3
When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point
So 4/3 is actually 1.3333333333333
We can see that based on the number after the decimal point we can convert this to 4/3
Answer
It depends on what digits repeat
Step-by-step explanation:
I hope this helps!
what is the average rate of change
y - 3 = -12 (x + 4)
Answer:
[tex] - 12x[/tex]
Step-by-step explanation:
[tex]y - 3 = - 12(x + 4) \\ y - 3 = - 12x - 48 \\ y = - 12x - 45[/tex]
Thr answer is the slope.
Answer:
[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
The average rate of change of a function f ( x ) over the interval [ a , b ] is
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]f(x)=\frac{3}{x-2}[/tex]
and [tex][a,b]=[4,7][/tex]
[tex]f(b)=f(7)=\frac{3}{7-2}=\frac{3}{5}[/tex]
[tex]f(b)=f(4)=\frac{3}{4-2}=\frac{3}{2}[/tex]
The rate of change is
[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]=\frac{\frac{3}{3} -\frac{3}{2} }{7-4}[/tex]
[tex]=-\frac{9}{10} *\frac{1}{3} =-\frac{3}{10}[/tex]
A rocket releases a satellite into orbit around Earth, The satellite travels at 2000 m/s in 25 seconds. What is the acceleration?
Answer:
80
Step-by-step explanation:
The formula to calculate speed is s=d/t. If the distance is 2,000 m/s and the time is 25 seconds, you plug in the numbers into the formula for speed. 2,000/25=80
The satellite's acceleration (speed) is 80.
(I'm not exactly sure what the unit should be for the answer 80, but...) I hope this helps and have a great day!! :3
Simplify -7 + 7 -19 A.12 B.-19 C. 0 D.19 PlZZzz Help me
Answer:
8^2+20-30x
Step-by-step explanation:
Answer:
Hello
B. -19
Step-by-step explanation:
= (-7)+7-(19)
= (-7+7)-19
= 0-19
= -19