Answer:
x=22
Step-by-step explanation:
Reorder the terms:
3(-4 + x) = 2(x + 5)
(-4 * 3 + x * 3) = 2(x + 5)
(-12 + 3x) = 2(x + 5)
Reorder the terms:
-12 + 3x = 2(5 + x)
-12 + 3x = (5 * 2 + x * 2)
-12 + 3x = (10 + 2x)
Solving
-12 + 3x = 10 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-12 + 3x + -2x = 10 + 2x + -2x
Combine like terms: 3x + -2x = 1x
-12 + 1x = 10 + 2x + -2x
Combine like terms: 2x + -2x = 0
-12 + 1x = 10 + 0
-12 + 1x = 10
Add '12' to each side of the equation.
-12 + 12 + 1x = 10 + 12
Combine like terms: -12 + 12 = 0
0 + 1x = 10 + 12
1x = 10 + 12
Combine like terms: 10 + 12 = 22
1x = 22
Divide each side by '1'.
x = 22
Simplifying
x = 22
What is the cos A? ....
Answer:
4/5
Step-by-step explanation:
need help pls and thank you
Answer:
y=25x
Step-by-step explanation:
It is a linear equation with a slope of 25
1.Write an equation that models the following verbal statement and show/explain how you know your translation is correct.
Five less than four times a number is equal to three times the number.
2. Alejandra stayed 3 nights in a hotel for a total of $254.91. If each night was the same price, what did Alejandra pay per night? Show your thinking, use units to label your answer!
Answer:
Step-by-step explanation:
4x-5 = 3x
a+b=10, c+d=18, a+c=12, b+d= 16. find the value of A,B,C and D?
Answer:
1
5
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If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?
Answer
12
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Patrick Ivers, former mathematics & English instructor
Answered June 26, 2018
If a+b=8, b+c=10 and c+a=12, what is the value of a+b+c?
The puzzle is solved by defining each variable in terms of another variable & a number & then making substitutions. Begin by taking each sum to define one of the variables in terms of the other. (Different combinations are available, but I’ll follow the a,b,c order.)
a+b=8 becomes a=8-b
b+c=10 becomes b=10-c
c+a=12 becomes c=12-a
Now subtract two of the equations that contain the same variable. I’ll pick two that contain an a: c+a =12 & a+b=8. Subtracting the latter from the former eliminates the “a”s, leaving c-b=4. Adding b to both sides to isolate c gives c=b+4. From above we can take b=10-c to substitute for b in c=b+4, giving us c=(10-c) + 4). Simplify the right side to c=14-c, add c to both sides, giving 2c=14, & then divide both sides by 2 to obtain c=7.
Replace the c in b=10-c with 7 to
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Related Answer
Paul K. Young, Former PhD candidate in Mathematics
Answered September 28, 2016
If A = B and B = C, does A = C?
In mathematics = is assumed to be a transitive relationship. Transitivity means precisely what you stated: A = B and B = C implies A = C.
While it’s possible to use = to represent a non-transitive relationship this would be considered an abuse of notation. A ~ B or R(A, B) would be a better way to express the relation in this case.
Similar assumptions are made about operators like + and *. + is generally assumed to be commutative, whereas * can be used for noncommutative operations like matrix multiplication. E.g. A * B != B * A.
Equality in programming is another story entirely.
In many languages = is the assignment operator and == is the equality operator. Assignment is not transitive - it’s not even a relation.There are cases where the equality operator doesn’t define a transitive relation.
Suppose that c is a number for which the equation c÷c = 1 is false. What is c?
Answer:
Hope it help
Mark me as brainliest
Step-by-step explanation:
If a card is randomly selected, what is the probability of drawing spade or club?
Help me find the answer to this please. And also explain how to slove these problems.
Answer:
B and C
Step-by-step explanation:
Minimum and Maximum points occur when the gradient of the function is equal to 0. Graphically this looks like a bend such that the function dips from decreasing to increasing (the gradient goes form being negative to positive) and vice versa.
A minimum point occurs where all the nearby values are higher than that of the point in question.
A maximum point occurs where all the nearby points are lower than the point in question.
By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)
By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.
I've highlighted areas of interest below so hopefully that's helpful :>
NAME DATE PERIOD 5-6 Practice 1 2 3 4 Probability and Odds Find the probability of each outcome if a pair of dice are rolled. Refer to the table below, which shows all of the possible outcomes when you roll a pair of dice. 4 5 6 (1, 1) (1, 2) (1, 3) (1. 4) (1,5) (1,6) 2 (2, 1) (2.2) (2, 3) (2, 4) (2,5) (2, 6) 3 (3, 1) (3, 2) (3, 3) (3, 4) (3,5) (3,6) 4 (4, 1) (4, 2) (4.3) (4, 4) (4, 5) (4, 6) 5 (5, 1) (5, 2) (5, 3) (5, 4) (5,5) (5, 6) 6 (6, 1) (6.2) (6.3) (6,4) (6,5) (6, 6) 1 36 1. ap h number on the second die . 2. a sum of 8 18 - ä 25 26 3. a sum of 7 4. load sum 5. a sum less than 6 6. a sum greater than 7 7. both die are the same number 8. a sum less than 2 0136 Find the odds of each outcome if a bag contains tīblue marbles, 3 yellow marbles, and 2 red marbles. 9. choosing a blue marble 10. choosing a red marble 7:5 11. choosing a yellow marble 1:5 5:7 12. choosing a yellow or red marble 5.7 13. choosing a yellow or blue marble 14. choosing a blue or red marble 15. not choosing a blue or red marble 16. not choosing a blue marble 5:7 222 Algebra: Concepts and Applications © Glencoe/McGraw-Hill
Answer: Link to answer below
Step-by-step explanation:
en una rampa inclinada un ciclista avanza una distancia horizontal de tan solo 77 metros ¿cuál es la altura en metros de esa rampa
Answer:
English?
Step-by-step explanation:
Find the third, fifth, and eleventh terms of the sequence described by the rule.
A(n) = - 6+ (n - 1)(6)
A(3)= ?
Answer:
A(3) = 6
A(5) = 18
A(11) = 54
PLS MARK AS BRAINLIEST
I have a big question what is 720 x 0.1
Answer:
72
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
I hope this helps :)
By eating 1 egg, 1 cupcake, and 1 slice of pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of pizza, he or she takes in 86 mg of cholesterol. By eating 2 eggs and 1 cupcake, a child consumes 566 mg of cholesterol. How much cholesterol is in each item?
Answer:
cholesterol in egg= 273 mg
cholesterol in cupcake = 18 mg
cholesterol in slice of pizza = 9 mg
Step-by-step explanation:
Given data:
1 egg , 1 cupcake , 1 slice of pizza = 300mg
3 cupcakes , 4 slices of pizza = 90mg
2 eggs , 1 cupcake = 564mg
Let egg be x , let cupcake be y and let pizza be y
x + y + z = 300 (equation 1)
0x + 3y + 4z = 90 (equation 2)
2x + y + 0z = 564 (equation 3)
Using equation 1 and equation 2
x + y + z = 300 (Multiply equation by 3)
0x + 3y + 4z = 90
3x + 3y +3z =900
0x +3y +4z = 90 (Subtracting the equations)
3x - z = 810 (equation 4)
Using equation 2 and equation 3
0x + 3y + 4z = 90
2x + y + 0z = 564 (Multiply equation by 3)
0x + 3y + 4z = 90
6x +3y + 0z = 1692 (Subtracting the equations)
-6x +4z =-1602 (equation 5)
Solving equation 4 and equation 5
3x - z = 810 therefore z =3x -810
Substituting z into equation 5
-6x +4(3x - 810) =-1602
-6x + 12x - 3240 = -1602
6x = -1602+3240
6x = 1638
x = 273
Substituting x into z = 3x - 810
z = 3(273) - 810
z = 819-810
z = 9
Using equation 1 to find y
x + y + z = 300
273 + y + 9 = 300
282 + y = 300
y = 300-282
y = 18
When students are admitted to a particular university, they are given a six-digit identification number (NNNNNN). If the first digit must be either a 0 or 1, how many identification numbers are possible?
Answer:
200,000 identification numbers are possible
Step-by-step explanation:
For the first digit, there are only two possible outcomes, 0 or 1.
For the next five digits, there are 10 possible outcomes(0,1,2,3,4,5,6,7,8,9).
How many identification numbers are possible?
[tex]2 \times 10^5 = 200000[/tex]
200,000 identification numbers are possible
BROOOOOOOOOOOOOOO HELPPPPPPPPP
A copy machine makes 36 copies per minute. How long does it take to make 117 copies
Answer:
3.25 minutes
Step-by-step explanation:
117 ÷ 36 = 117
Answer:
3.25 min
Step-by-step explanation:
copies. time
36. 1
117. x
36×x= 117×1
x. = 117÷36
x. = 3.25 min
The number of cell phone tower sites in the United States was 195,613 in
2006. By 2012, the number of cell phone tower sites had increased by 54.3%.
Find the number of cell phone towers in 2012. Round your answer to the
nearest whole number
Answer:
Step-by-step explanation:
195613(1+.543)
195613(1.543)
301831
Need help on this question, please help!
Answer:
I think it is 50
Step-by-step explanation:
Find the perimeter of lsosceles triangle ABC (below) if mAD = 3 and m < BAC = 55 degrees. Round to the nearest hundredth.
Answer:
r
Step-by-step explanation:
The number of country A forces in country B decreased to approximately 34,000 in 2014 from a high of about 100,000 in 2008. The amount of country A funding for country B security forces also decreased during this period. The function f (x) = -1.330x + 5.149x +5.517 can be used to estimate the amount of country A funding for country B security forces, in billions of dollars, x years after January 2007. In what year was the amount of country A funding for country B security forces about $ 10.5 billion?
Answer:
2009
Step-by-step explanation:
The question can be interpreted as:
[tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]
Required
Determine x when f(x) = 10.5
Substitute 10.5 for f(x) in [tex]f(x) = -1.330x^2 + 5.149x + 5.517[/tex]
[tex]10.5 = -1.330x^2 + 5.149x + 5.517[/tex]
Collect Like Terms
[tex]-1.330x^2 + 5.149x + 5.517-10.5=0[/tex]
[tex]-1.330x^2 + 5.149x -4.983=0[/tex]
Using quadratic formula
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -1.330[/tex]
[tex]b = 5.149[/tex]
[tex]c = -4.983[/tex]
[tex]x = \frac{-5.149 \± \sqrt{5.149^2 - 4*-1.330*-4.983}}{2*-1.330}[/tex]
[tex]x = \frac{-5.149 \± \sqrt{0.002641}}{-2.660}[/tex]
[tex]x = \frac{-5.149 \± 0.0514}{-2.660}[/tex]
Split:
[tex]x = \frac{-5.149 + 0.0514}{-2.660}\ or\ x = \frac{-5.149 - 0.0514}{-2.660}[/tex]
[tex]x = \frac{-5.0976}{-2.660}\ or\ x = \frac{-5.2004}{-2.660}[/tex]
[tex]x = 1.92\ or\ x = 1.96[/tex]
Both values of x approximates to 2.
So:
[tex]x = 2[/tex]
2 years after 2007 is 2009.
Hence, the funding is about $10.5 billion in 2009
A truck is carrying passion fruit juice, cherry juice, and mango juice bottles in a ratio 1:2:7. If there are 34 cherry juice bottles, then how many nango juuce bottles are there?
Answer:
Step-by-step explanation:
We can solve this using a ratio. If there a 2 bottles of cherry in the ratio and there are 34 actual bottles of cherry, then the ratio is
[tex]\frac{ratio}{actual}:\frac{2}{34}[/tex]
In the ratio, we are told that the mix of bottles is 7 parts mango and we want to know how many actual bottles there are of mango. So filling in:
[tex]\frac{ratio}{actual} =\frac{2}{34} =\frac{7}{m}[/tex] and cross multiply to get
2m = 238 and
m = 119. There are 119 bottles of mango juice. And just for the record, there are 17 bottles of fruit juice.
Answer:
m = 119. There are 119 bottles of mango juice. there are 17 bottles of fruit juice.
Home Depot sells an $1850 gas grill on the installment plan. The installment agreement includes a 20% down payment and 12 monthly payments of $160.
What is the total cost of the grill on the installment plan?
Answer:
Total cost of the grill installment plan = 2290
Step-by-step explanation:
370 + 1920 = 2290
Sally is teaching a nursery rhyme to her kindergarten students. She found that 4 out of every 10 students know the rhyme. If Sally has a total of 20 students, how many students in her class know the rhyme?
Step-by-step explanation:
the answer is
[tex]= \frac{4}{10} \times 20 = 8[/tex]
Can you please help me understand this question please?
Answer:
B
u just subsitute in each inequality form and so u will find the only one that is right is letter b
-4 is x
-2 is y
Please show work so i know how you got your answer
Answer:
24
Step-by-step explanation:
7 5/6 x3 =23.5
Factor
4y(3x+2)-2(3x+2)
Answer:
[tex]2(3x+2)(2y-1)[/tex]
Step-by-step explanation:
Hope I helped!
Answer:
(4y − 2)(3x + 2)
Step-by-step explanation:
4y(3x + 2) − 2(3x + 2) = (3x + 2)[4y − 2]
19.- If P is the circumcenter of ABG, AD = 3x - 11-DB = 5x-29, and PC = 18, find DP
Answer:
DP=5×-29 is your answer right answer
Yoshi has a rope 30 feet long. He must cut it in pieces that are 1/4 foot long will he get more or fewer than 30 pieces
Answer:
More
Step-by-step explanation:
If we divide 30 by .25 we will get 120
What are the coordinates of the image of point T(2,4) over the transformation D(1/2,R), where R(6,-2) is the center. X= ? Y= ?
9514 1404 393
Answer:
T'(4, 1)
Step-by-step explanation:
The dilation transformation around a center not the origin is ...
T' = k(T -R) +R . . . . for dilation factor k and center R
This can be simplified to ...
T' = 1/2T -1/2R +R = 1/2T +1/2R = (T +R)/2
Using the given point values, we find the image point to be ...
T' = ((2, 4) +(6, -2))/2 = (8, 2)/2 = (4, 1)
The image point is T'(4, 1).
37% of what number is 48?
Answer:
129.73
Step-by-step explanation:
Answer:
48 is 37% of 129.72973
10x (4 +2) = 10 x6 =60