Answers
X+95+4x=180
5x+95=180
Subtract 95
5x=85
X=17
Related Questions
Find the least number which when divided by 12 and 16 leaves the reminder 3 and 7 respectively. Plzz help in this question
Answers
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Explanation:
Let n be the number we want to find. We want n to be as small as possible, but also be a positive integer. Intuitively, we can see that n cannot be smaller than 16; otherwise, we don't meet the remainder requirements.
Divide n over 12 and we get some quotient x and remainder 3
So,
n/12 = (quotient) + (remainder)/12
n/12 = x + 3/12
Multiply both sides by 12 to end up with
n = 12x + 3
Similarly, if we divide over 16 we get some other quotient y and remainder 7
n/16 = y + 7/16
which turns into
n = 16y + 7
after multiplying both sides by 16
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We have these two equations
n = 12x+3n = 16y+7Apply substitution and do a bit of rearranging like so
12x+3 = 16y+7
12x-16y = 7-3
4(3x-4y) = 4
3x-4y = 4/4
3x-4y = 1
The goal from here is to find the smallest positive integers x and y that make that equation true. We have a few options here and they are
Guess and check: We have a small sample size to work with so it shouldn't take too long. Make a table of xy values where you have x along the top row and y along the left column. Then plug each x,y pair into the equation above to see if you get a true statement or not. Again, keep in mind that x and y are positive integers. Graphing: Graph the line 3x-4y = 1, which is the same as y = (3/4)x - 1/4 and note where the line lands on a lattice point. Focus on the upper right quadrant of the graph. This quadrant is above the x axis and to the right of the y axis.Extended Euclidean Algorithm: This method is the most efficient, but it's only useful if your teacher has gone over it.Whichever method you use, you should find that (x,y) = (3,2) is the point we want.
Note how:
3x-4y = 1
3(3)-4(2) = 1
9-8 = 1
1 = 1
So that verifies (3,2) is on the line 3x-4y = 1.
Because x = 3 and y = 2, we know that
n = 12x + 3
n = 12*3 + 3
n = 39
and we can see that
n = 16y + 7
n = 16*2 + 7
n = 39
So 39 is the smallest such integer such that when we divide it over 12 and 16, we get remainders 3 and 7 respectively.
Here's a quick verification that we've fit the requirements.
39/12 = 3 remainder 3
39/16 = 2 remainder 7
We know we hit the smallest value of n because (x,y) was made to be the smallest positive integer solution to 3x-4y = 1. There are infinitely many positive integer (x,y) solutions to 3x-4y = 1, which in turn means there are infinitely many numbers n that satisfy the remainder conditions (but n is not the smallest possible in those cases).
10 points if you answer this
Answers
8. Their pizzas were all cut differently. Josh’s pizza was cut in half, Lisa’s was cut into 6 slices and Vicki’s was cut in 8 slices
Answer:
7. = 1/4 or 3 pieces left.
Step-by-step explanation:
If you take 12 pieces of pizza and divide it by 4 it equals 3. So 3 times 3 because there are 3 pieces left. Hope that makes sense!
\the incenter is a point of
Answers
Step-by-step explanation:
The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
5th grade math. correct answer will be marked brainliest.
Answers
Explanation:
The change of y is increasing by 5 so to get the .5 months you divide 5 by 2 and that gives you 2.5 and then you add that 2.5 with 18 which gives you 20.5 sorry I am not good at explaining.
right and evaluate an expression to help you determine how much you make if you charge $7.50 to walk dogs and you walk 10 dogs
Answers
Answer:
7.50(10)
You make 75 dollars
Step-by-step explanation:
7.50(10)= 75
2. The actual tree on the left is 10 feet tall. The model tree on the right is 8 inches tall. What is the scale factor?
A: 15 B: 112 C: 1/122 D: 1/15
Answers
Answer:
D. 1/15
Step-by-step explanation:
Actual tree = 10 ft = 12 × 10 = 120 in.
Model tree = 8 in.
Scale factor = model tree/actual tree
Scale factor = 8/120
Scale factor = 1/15
Two lines Intersect at one polnt.
True
False
Answers
the answer is:
Trueeeee
Answer:
False
Step-by-step explanation:
IF the lines are parallel, they will NEVER intersect at any point at any time. I hope this helps :)
ANSWER PLS HELP NOW PLS
Answers
3. 18 centimeters
P = 2l + 2w, when P = 28 ft. and w = 5 ft.
Answers
Answer:
9
Step-by-step explanation:
5*2=10 28-10=18 18/2=9
if Suzannah's budget limit is $10 per month, how many text messages can she send in one month?
Answers
Answer:
.10x100=$10
Am smort :D
Which equation shows the line with m = 6 and Y - intercept = -3,
written in slope-intercept form?
Answers
Answer:
y = 6x - 3
Step-by-step explanation:
The equation shows the line with slope of 6 and y-intercept = -3 will be y = 6x - 3.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is 6 and the y-intercept of the line is negative 3. Then the equation of the line will be
y = 6x - 3
The equation shows the line with slope of 6 and y-intercept = -3 will be y = 6x - 3.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Please help me with this question
Answers
It is Called because 627 times 35 equals 21,945.
If sin(2)=cos(+30°), what is the value of ?A. 20° B. 30° C. 50° D. 110°
Answers
Answer:
ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo9
Step-by-step explanation:
jk its c
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answers
Plug in the x and y
(2*9)+(4*-3)= 18-12= 6
(6*9)+(14*-3)= 54-42= 12
how do I find the length of CA
Answers
C^2= a^2 + b^2
C^2= 17.6^2 + 21^2
C^2= 309.76 + 441
C^2= 750.76
Square root 750.76
C= 27.4 cm
CA= 27.4cm
A truck can travel 12 miles on a gallon of gasoline. How far can the truck travel on 40 gallons of gasoline? Which operation is best to answer this question?
Answers
Answer:
im sorry
Step-by-step explanation:
i dont kno
Find the missing dimension of each prism the volume equals 60 in.³ width equals 2.5 in. length equals 4 in. FIRST CORRECT ANSWER GETS 15 POINTS!!!
Answers
Answer:
Missing dimension is 6
Step-by-step explanation:
2.5 times 4 is 10, to get to 60, your missing 6, 60/10=6
6
3. Javon, Sam, and Antoine are baking cookies. Javon
has 1/2 cup of flour, Sam has 14 cups of flour, and
Antoine has 1 cups of flour. How many cups of
flour do they have altogether?
Answers
Answer:
15.5 or 15 and a half cups of flour
Step-by-step explanation:
1/2 = 0.5
14 + 0.5 + 1 = 15.5
Answer: 3 5/12
or
2 17/12
Step-by-step explanation:
hope this helped!!
A biologist is growing a population of bacteria for a study. The number of millions of bacteria in the population is modeled by a function, f(x), where x is the number of days since yesterday. The table shows values of f(x) for different values of x.
x f(x)
−2 3.25
−1 3.5
0 4
2 7
4 19
The function f(x) can be represented by the equation f(x)=ax+b. Enter the value for a and b in the equation f(x)=ax+b.
Answers
Answer:
y = 2x
Step-by-step explanation:
Complete a table of values for –2 < x < 2. Connect the points on the graph with a smooth curve.
A circular pond has a radius of 6m. Calculate the circumference of the pond. Give your answer rounded to the nearest tenth.
Answers
Answer:
37.7
Step-by-step explanation:
C= 2(3.14)6
C = 6.28(6)
C= 37.68
C= 37.7
Sue walks 1 mile to a store. About how far is this in metric units? A. 2 millimeters B. Centimeters C. 2 meters D. Kilometers please help if you can! :D
Answers
Answer:
C meter
Step-by-step explanation
Did this in class luv hope this helps<3
Please tell the answer
Answers
Answer:
Step-by-step explanation:
The person I sent it to couldn't see it either. I'm going to take a chance and say the Chord (AB) and the Tangent line form a 50 degree angle. If this is incorrect, I won't know, from the diagram, what else to try.
If I'm right then <OAB = 40 degrees because 90 - 50 = 40 because <AOC is a right angle (property of radii and tangents).
<ABO also = 40 (the triangle is isosceles by two legs being radii).
That means that BOA = 180 - 40 - 40 = 100
What is the value of x?
Answers
Answer:x=31
not sure
Step-by-step explanation:
Lani has 84 Lego blocks and 25% were red. How many red Lego blocks does Lani have? Show and explain your work.
Answers
Answer:
21
Step-by-step explanation:
84x0.25=21
25% is 0.25 as a decimal. Multiply it times 84 to find the answer.
Lucy is standing on a balcony looking down at her friend Grace, as shown in the diagram.
20 feet
Lucy<-] 0
1
14 feet
Grace
To the nearest degree, what is the measure of the angle of depression?
Answers
Answer:
35
Step-by-step explanation:
The answer is 35 degrees
Question 7. Jose has scored 874 points on his math tests so far this semester. To get an A for the semester, he must score at least 959 points. Part 1 Enter an inequality to find the minimum number of points he must score on the remaining tests in order to get an A. Let n represent the number of points Jose needs to score on the remaining tests. What is the inequality. What is the solution to the inequality
Answers
Answer:
Step-by-step explanation: How many more points does he need to get to 959
I don't get this question
Answers
Answer:
Q = 85°
Step-by-step explanation:
P + Q = 180° (angles on the same side of transversal)
95° + Q = 180°
Q = 180° - 95°
Q = 85°
A rectangular flag has an area of 3/8 square foot. The width is 3/4 foot. What is the length of the flag?
Answers
Answer:
1/2
Step-by-step explanation:
Area= 3/8
Width=3/4
Length=?
3/8=0.375
3/4x1/2=3/8 (0.375)
Select all composite numbers shown:
11
12
13
14
15
16
17
18
19
20
Answers
Answer:
12,14,16,18,20
Step-by-step explanation:
Answer:
just 20
Step-by-step explanation:
Ez
A customer at least lunches can choose a protein from chicken beef or shrimp the customer can also choose from right or brown rice which diagram shows all the possible combinations of one type of Protane and one type of rice
Answers
Answer:
A
Step-by-step explanation: