When two or more points are on a straight path, then they are collinear. So that in the given question, the value of x is 7.
Two or more points are said to be collinear if and only if they fall on a straight line. Thus, the points can be joined by a single straight line.
From the given question, it can be observed that;
XZ = XY + YZ
But given the following:
XY = 5x, YZ = 2x + 7, and XZ = 56
Then,
56 = 5x + (2x + 7)
= 5x + 2x + 7
56 = 7x + 7
collect like terms to have
56 - 7 = 7x
49 = 7x
x = [tex]\frac{49}{7}[/tex]
= 7
x = 7
Therefore, the value of x is 7.
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-8x+44>60 and -4x+50<58
-8x + 44 > 60
-8x > 60 - 44
-8x > 16 / : (-8)
x < -2
-4x + 50 < 58
-4x < 58 - 50
-4x < 8 / : (-4)
x > -2
Sienna bought vegetables to make a large pot of vegetable soup. She bought 5.35
pounds of potatoes, 3.8 pounds of carrots, and 2 pounds of celery. What is the total
weight, in pounds, of the vegetables?
A. 9.17
B. 9.35
C. 11
D. 11.15
Evaluate. 11 + 4 divided by 3 times the sqaure root of 64
Answer:
40
Step-by-step explanation:
it would be first bodmas so
(15) /3 * root 64
5 * root 64
5*8
40
Answer:
The answer is 40
Step-by-step explanation:
(11+4)÷3×√64
= (11+4)÷3×8
= 15÷3×8
= 5×8
= 40
〜Selena[tex]\sqrt75x 7y 3 .[/tex]
Answer:
[tex]15 \sqrt{7xy} [/tex]
Step-by-step explanation:
[tex] \sqrt{75x7y3} [/tex]
[tex]75x \times 7y \times 3[/tex]
[tex]525xy \times 3[/tex]
[tex] \sqrt{1575xy} [/tex]
[tex] \sqrt{ {15}^{2} \times 7xy} [/tex]
[tex] \sqrt{ {15}^{2} } \sqrt{7xy} [/tex]
[tex] = 15 \sqrt{7xy} [/tex]
can someone explain please?
Answer:
- The equation that represent the cost C of renting a car and driving x miles is C = $39.11 + $0.50x
- $130 can travel 181.32 miles
Step-by-step explanation:
From the question, a rental company rents a luxury car at a daily rate of 39.34 $ plus $.50 per mile, that is
$0.50 is added to the initial $39.34 for every mile.
The equation that represent the cost C of renting a car and driving x miles is
C = $39.34 + $0.50x
Now, to determine how many miles 130$ can travel,
we will put C = $100, and determine x in the above equation
$130 = $39.34 + $0.50x
$130 - $39.34 = $0.50x
$90.66 = $0.50x
x = $90.66/$0.50
x = 181.32
Hence, $130 can travel 181.32 miles
Sara has 4\frac{3}{4}4 4 3 yards of red fleece and 2\frac{2}{3}2 3 2 yards of blue fleece fabric. How many yards of red and blue fleece fabric does she have altogether? Write your answer as an improper fraction.
Answer:
4567
Step-by-step explanation:
PLEASE HELP ASAP
Simplify the following expression:
a + 2c − 5b − c + a − b
Question options:
2a − 6b + 2c
2a − 6b + c
a − 6b + c
a − 5b + 2c
Answer:
the second option 2a-6b+c
Answer:
2a - 6b + c
Step-by-step explanation:
(a+a)(-5b-b)(2c-c)
2a-6b+c
Round the fraction to the nearest whole number.
5/8
please help
Answer:
1
Step-by-step explanation:
so when you divide 5/8 you get 0.625 and rounding it of to the nearest whole number it will be 1.
hope this helps
Answer:
1
Step-by-step explanation:
(8/8) = 1 (4/8) = half (0/8) = 0
(5/8) = a bit more than half, so is closer to 1
5/8≈1
Dana recorded a temperature drop of 2º and a second temperature drop of 3º. What is the total change in temperature?
Answer:
1° or 5° i think one of those answer
The total change in temperature is a decrease of 5 degrees Celsius (ºC).
To find the total change in temperature, you simply add the individual temperature drops together.
1. First Temperature Drop: -2º (negative because it's a drop)
2. Second Temperature Drop: -3º (again, negative because it's a drop)
Now add these two drops together:
Total Change in Temperature = (-2º) + (-3º) = -5º
So, the total change in temperature is a decrease of 5 degrees Celsius (ºC).
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Hi, I need help with this story problem.
Zach has the following partial bags of sugar in his pantry; 2 c., 1.5 c., 0.5 c., 3 c., and 1.5 c. If he uses 1 c. of sugar for his baking, how many cups of sugar will he have left?
Answer: 7.5 cups of sugar.
Step-by-step explanation:
Add all of the above:
2+1.5+0.5+3+1.5= 8.5 cups of sugar
Since Zach only needs 1 cup of sugar, subtract 1 from 8.5.
Therefore, your answer is 7.5 cups of sugar.
Is 122/48 in its simplest form or is it’s simplest form 61/24?
Answer:
61/24 is its simplest form! :)
Step-by-step explanation:
Which expression fits the description
Can't see full image
Answer:
28:12
Step-by-step explanation:
When we take 7 and 3 and multiply them both by 4 we get 28 and 12.
hope this helps!
solve for D
1st to answer gets mark brainiest
Answer:
d= 4
Step-by-step explanation:
41 = 12d - 7
41 + 7 = 12d
48 = 12d
48 ÷ 12 = 12d ÷ 12
4 = d
Answer:
d = 4
Step-by-step explanation:
hope this helps
3 • 1/5 = x please help I am having a brain fart and I am running out of time!
Answer:
3/5
Step-by-step explanation:
Convert 1/5 to a decimal which is .20.
Then multiply by 3.
solve the formula for y (pls give steps)
-10x +2y = 4
How to solve 0.6 divided by 30
solve for x
-3x + 5= -8 + 10
Answer:
1
Step-by-step explanation:
you should remove 8 out of 10 then 2 will remain
then add negative 5 to both sides then we will left with -3x = -3
divide -3 on both sides we find x = 1
Answer:
x=1
Step-by-step explanation:
-3x + 5= -8 + 10
Combine like terms
-3x+5 = 2
Subtract 5 from each side
-3x+5-5 = 2-5
-3x = -3
Divide by -3
-3x/-3 = -3/-3
x =1
Celsius temperature
Fahrenheit temperature
o
10
20
30
40
50
32
50
68
86
104
122
7. Is the relationship between the temperature scales proportional?
Why or why not?
Answer:
By definition, Proportional relationships have the following form:
y=kxy=kx
Where "k" is the Constant of proportionality.
By definition the graph of a proportional relationship is a straight line that passes through the origin (Point (0,0)(0,0) ).
Knowing this and having the relationship provided in the exercise, you can identify from the table that when:
x=0x=0 , y=32y=32
Then, the line does not pass through the origin, so you can conclude that the relationship between the temperature scales is not proportional.
5 / 4 x + 3 = x - 1 / 4
show that:sin60=2tan60/1+tan²60
Answer:
Step-by-step explanation:
2 tan(60) = 2 * (sqrt(3)/2 = sqrt(3)
1 + tan^2(60) = 1/cos^2(60) = 1//1/4 = 4
The answer is going to look a little convoluted but it should be correct.
The answer so far is sqrt(3) /4
sin(60) = sqrt(3)/2
of the 4, two is needed to get sqrt(3)/2
So far then we have sin(60)/2
If we multiply by 2 as in (sin(60)/2) we get just sin(60)
2* sqrt(3) /4 then = 2 sin(60)
What does -(-3) equal?
It does equal to +3
explanation = -(-3) = -1×(-3) = +3
When you multiply two negative numbers it turns out positive
Name the angle adjacent to
Answer:
∠DBC
Step-by-step explanation:
Since ∠ABD shares the same vertex and side with ∠DBC, then they are adjacent angles.
4. Is it appropriate to use an absolute value inequality to represent how a player wins
this game? Why? (2 points: 1 point for an answer, 1 point for an explanation)
Using it's concept for the difference between points, the absolute value inequality |x - y| < 10 represents when Erik wins the game, and the inequality |x - y| ≥ 10 represents when Nina wins the game.
What is the missing information?Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers to greater than 10, then Nita wins. Use what you know about inequalities and absolute values to better understand the game.
What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.
For this problem, we have that:
Erik's number is x.Nina's number is y.The difference between these two numbers is:
|x - y|.
Erik wins if the difference is less than 10, hence:
|x - y| < 10.
Hence:
Using it's concept for the difference between points, the absolute value inequality |x - y| < 10 represents when Erik wins the game, and the inequality |x - y| ≥ 10 represents when Nina wins the game.
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Cual es el peso de un niño si su masa es de 21kg? Por fa estoy en examen
Answer:
Step-by-step explanation:
) Big companies own most of the assets
(b) Government owns the assets
(c) A group of people owns most of the assets
(d) An individual owns most of the assets
PLEASE HELP ASAP WILL GIVE BRAINLIEST AND POINTS Is the set of points in the image a function yes or no?
Answer:
Yes, the set of points is a function.
Step-by-step explanation:
A function only passes through any given y value once. None of the y values (the second number in the form (x, y)) are the same, so the set of points is indeed a function.
If a^2 b=c and b 0, then 1/b
Answer:
i guess it's and is zero (0
Salma borrowed from Mahila Samiti a sum of ₹1875 to purchase a sewing machine. If the rate of interest is 4% per annum, what is the compound interests that she has to pay after 2 years?
Answer:
hence the compound intrest she has to pay after 2 years is Rs.153.
Find Cp ox s.p. in each of the following..
C. P = Rs.500 , Profit = Rs. 170 Solution,
Step-by-step explanation:
Solution:
Here,
C.P.=Rs 500
Profit=Rs 170
Now,
S.P.=C.P.+Profit
=Rs 500+170
=Rs 670
Keep smiling and hope u r satisfied with my answer.Have a great day :)
Simplify 6r · s · 4rt.
10r 2st
10rst
24r 2st
Answer:
24r 2st
Step-by-step explanation:
Answer: 24r 2st
HOPE THIS HELPS :>
Step-by-step explanation:
9516x 51 plz put steps
Answer:
9516
x51
9516 (first multiply by 9561 by 1)
47580 (second multiply 9561 by 5)
485316 (add two result.)
9516+47580=57096 this is wrong.we add 9516+47580 with shift one space of 47580Step-by-step explanation:
