Answer:
Step-by-step explanation:
four times the sum of a number and 9 is 16
4 *(x + 9) = 16
4x + 36 = 16
4x = 16 - 36
4x = -20
x = -5
---------------
4 * (-5 + 9) = 16
16 = 16
true
MATHEMATICAL CONNECTIONS Use the given information to write and solve a system of linear equations to find the values of $x$x and y$y$y . The text reads triangle L M N is congruent to triangle P Q R, the measure of angle L equals 40 degrees, the measure of angle M equals 90 degrees, the measure of angle P equals left parenthesis 17 x minus y right parenthesis degrees, the measure of angle R equals left parenthesis 2 x plus 4 y right parenthesis degrees. The equations are is equal to 40$=\ 40$= 40 and is equal to 50$=\ 50$= 50 . Question 2 $x\ =$x = and $y\ =$y =
The value of x and y is 2 and 11.5
The sum of the interior angle of a triangle is 180 degrees.
Since LMN and PQR are similar, hence:
m<L = m<P
m<M = m<Q
m<N = m<R
Given the following parameters
m< L = 40 degrees
m<M = 90 degrees
m<P = 17x - y
m<R = 2x + 4y
Get the measure of m<N
m<M + m<N + m<L = 180
90n+ m<N + 40 = 180
m<N = 180 - 130
m<N = 50degrees
Since m<P = m<L, hence;
17x - y = 40 ....... 1
Also m<R = m<N
2x + 4y = 50 .......... 2
Solve simultaneously
17x - y = 40 ....... 1 * 4
2x + 4y = 50 .......... 2 * 1
___________________________
68x - 4y = 160
2x + 4y = 50
Adding both equations
68x + 2x = 160 + 50
70x = 210
x = 2
Substitute x = 3 into the equation 2x + 4y = 50
2(2) + 4y = 50
4 + 4y = 50
4y = 50 - 4
4y = 46
y = 46/4
y = 11.5
Hence the value of x and y is 2 and 11.5
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Can someone help? Show work
what is 2/3 divided by 1/3
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Answer:
whats
Step-by-step explanation:
[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]
Train A has a speed 35 miles per hour greater than that of train B. If train A travels 300 miles in the same times
train B travels 195 miles, what are the speeds of the two trains?
Step-by-step explanation:
That's the answer! hope it helped!
help me pls with math
Answer:
d
Step-by-step explanation:
there is a bag filled with 6 blue and 5 red marbles.
a marble is taken at random from the bag the colour is noted and then it is replaced. another marble is taken at random. what is the probability of getting 2 reds
Answer:
Step-by-step explanation:
The probability of obtaining a red marble in one sample is 5/11. Since you are sampling twice the probability of picking a red marble both times is 5/11 x 5/11 = 25/121. That is slightly less than one time in five.
Please Answer this (mathematics)
Answer:
50.21, 50.12, 50.102,50.021
the last one
Step-by-step explanation:
sorted into descending order
Wendy was riding her bike along a trail and travelled 63 miles in 6 hours. When Iman was riding on the same trail she travelled 10.1 miles per hour. What was Wendy's unit rate for her bike ride? (Miles per Hour) Who was riding faster?
The lengths of the sides of a triangle are square root 139, square root 73, and 6. Classify the trianglo as “acute", "right", or "obtuso".
Choose the correct type of triangle below.
O acute
obtuse
Oright
Answer:
It's obtuse.
Step-by-step explanation:
Mumble. Smells al-kashi laws of cosine to me.
[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]
Now, we don't need to calculate the RHSs, and then:
If at least one of the three LHSs is greater than zero, the triangle is obtuse
If at least one is zero, it's a right triangle (pythagorean theorem anyone?)
if all three numbers are less than zero, the triangle is acute
Start crunching numbers.
[tex]139-73-36 = 30[/tex] First try was the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED
1.
What is the sum of
4 |
22 (1 point)
+
+
3
011
o
어
IN IN NII am |
0
0 0
Answer:
B. One whole number one over two. 1½
8th Grade Math
Janelle is saving $6 per week to buy a new bike. she has $85 on week five. How do you write this in slope intercept form?
Rachel has a $23,000 six year loan with APR of 7.25%
Answer:6,000 is the answer
Step-by-step explanation:
Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.
What is the change in the amount of liquid in the tub after 1/3 minute?
Enter your answer as a fraction in lowest terms in the box
Answer:
Step-by-step explanation:
The amount of water in the bathtub per minute:4/9-8/9=-4/9;
liquid after:1/3* (-4/9)=-4/27
If the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that, Each minute, a faucet allows 4/9 gallons of water to enter a large tub, and the drain allows 8/9 gallons to leave the tub.
The rate of net flow of the water = Water outgoing - Water ingoing
The rate of net flow of the water = 8/9 - 4/9
The rate of net flow of the water =4/9
The change in the amount of liquid in the tub after 1/3 minute is,
=4/9 × 1/3
=4/27
Thus, if the change in the amount of liquid in the tub for 1 minute is 4/9, The change in the amount of liquid in the tub after 1/3 minute will be 4/27.
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What is the period of y=2cos(3x-2(3.14))?
A. 3(3.14)
B. 6(3.14)
C. 3(3.14)-2
D. 3(3.14)/3
Answer:
the correct answer is B
Step-by-step explanation:
I got it correct on 2021 edge
Jessica bought a soft drink for 4 dollars and 5 candy bars. She spent a total of 19 dollars. How much did each candy bar cost ?
Answer:
$3
Step-by-step explanation:
19-4= 15
15 divided by 5= 3
What percent of the bottle of apple juice is water?
percent of water is: 32/80*100= 40%
help plz 25 pts due i five mins
Answer:
B) <
Step-by-step explanation:
Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is smaller than 4.6, so we will use the less than symbol <.
Hopefully that's helpful! Good luck on your quiz. :)
recipe☝️
Question: How many cups of sifted cake flour will you need for 2 cakes? Show your work.
Answer:
5 cups of flour need to make two cakes
In a company, the ratio of the number of men to the number of women is 3:2 40% of the men are under the age of 25 10% of the women are under the age of 25 What percentage of all the people in the company are under the age of 25? %
Answer: Percentage of all the people in the company are under the age of 25=x
Step-by-step explanation:
We have to use the weighted average.
x=(Σwi * vi )/Σ wi
w₁=3
w₂=2
v₁=40%
v₂=10%
x=[3(40%)+2(25%)] / (3+2)=34%
Solution: 34% of all people in the company are under the age of 25.
Please help make sure to show your steps too, please
Answer:
Slope = -2
Step-by-step explanation:
Given the two points, (-4, 10) and (0, 2), the error in the given problem is the incorrect substitution of values into the formula. It should have been formatted as follows:
Let (x₁, y₁) = (-4, 10)
(x₂, y₂) = (0, 2)
The formula for solving for the slope of the line is:
m = (y₂ - y₁)/(x₂ - x₁)
where m represents the slope of the line.
Substitute the given values into the formula to solve for the slope:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{2 - 10}{0 - (-4)}[/tex]
[tex]m = \frac{-8}{0 + 4 }[/tex]
m = -8/4
m = -2
Therefore, the slope of the line is -2.
Use the information given to enter an equation in standard form.
(27,31) and (37,45) are on the line.
WHATS THE ANSWER TO THIS??
Answer:
y - 1.4x = - 6.8
Step-by-step explanation:
To find the equation: find the slope, use point-slope form to calculate the equation, then convert the equation to standard form.
Slope: [tex]\frac{45-31}{37-27} = \frac{14}{10} = 1.4[/tex]
Use point slope form: y - y₁ = m(x - x₁)
Plug in x = 27, y = 31, and m = 1.4
y - 31 = 1.4(x - 27)
y - 31 = 1.4x - 37.8
y = 1.4x - 6.8
Convert this into standard form: ax + by = c
y - 1.4x = - 6.8
Pete saw that he was 200 yards from shore when he dove out of the boat. It took him 49 seconds to swim the first 50 yards. At that rate, how much longer will it take to reach the shore?
tysm<3
Answer:
147 seconds to get to the shore(after the 49 seconds)
Step-by-step explanation:
If Pete swam at a constant speed of 50 yards/49 seconds, you just have to multiply that by four, to get 200 yards. If you want the total time from his boat to shore, that is 196. If you want how much longer it would be, it would be 147 seconds
for minutes, just divide by 60
can someone help
me on one of these please!
6. Five more than eight times a number is greater than four less than
seven times the number. Write an inequality to represent this relationship.
Then solve the inequality. *
8x+5 > 7x -4
X+5> -4
X> -9
Answer:
8x + 5 > 7x - 4
x > -9
Step-by-step explanation:
Five more than eight times a number
8x + 5
is greater than
>
four less than seven times the number
7x - 4
All together:
8x + 5 > 7x - 4
-------------------------------
Solve:
Subtract 7x from both sides
x + 5 > -4
Subtract 5 from both sides
x > -9
The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.
Answer:
W = 8.5 units; L = 30.5 units
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively. Here, L = 3W + 5. Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W = 2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units
which year in the 18th century was a perfect square
Answer:
THE dates dec. 6 1729, and june 4 1764 were the only two perfect square dates in the 18th century
What is the range of the graphed function?
O [x1-2
O [yI-2
O {x | x is a real number}
O [vl y is a real number}
Answer:
first one my sister tried itStep-by-step explanation:
PRETTY PLS HELP ME JUST 2 MORE QUESTIONS PLS 50 POINTS
Answer:
I think that you should take your time and answer, every one can help you
Step-by-step explanation:
Step-by-step explanation:
ok give question and intro new sis
Divide 2200kg in the ratio 5: 6.
Answer:
i have no idea1233930494
