Answer:
Step-by-step explanation:
Point B is the midpoint of AC. AB=3x and AC=5x+21 . What is the value of AB?
First, let's write down what we know.
AB = 3x
AC = 5x+21
Since B is the midpoint, AB is half the length of AC. The sum of AB + AB is equal to the length of AC.
AB + AB = AC
Let's plug in our values.
3x + 3x = 5x + 21
Simplify the left side.
6x = 5x + 21
Subtract 5x from both sides.
x = 21
Now, let's plug in 21 for x in AB
AB = 3x = 3(21) = 63
If 3x = y -5 and x = 4, then y =
Answer:
y = 17
Step-by-step explanation:
3x = y - 5, for x = 4
=> 3(4) = y - 5
=> 12 = y - 5
=> 12 + 5 = y
=> 17 = y
What is 18/12 as a mixed number in simplest form
Answer: 1 1/2
You can write this as 1 & 1/2
The whole part is 1. The fractional part is 1/2
==========================================================
Explanation:
Let's say we had 18 cookies to hand out to 12 students.
How many cookies does each student get?
Using a calculator shows that 18/12 = 1.5 which means they get one whole cookie each
The leftovers is 18-12 = 6
Then notice how 6/12 = 1/2
So that's how the improper fraction 18/12 becomes the mixed number 1 & 1/2
So each student gets 1 full cookie, plus half a cookie.
------------------
Or we could do the problem like this
18/12 = (12+6)/12
18/12 = (12/12)+(6/12)
18/12 = 1 + (1/2)
18/12 = 1 & 1/2
a + (b-4) when a-24 and b-7
Answer:
a=24
b=7
now
24+(7-4)
24+3
27
so the answer is 27
Help me on this math questionnn
Please helppp Probability Maths
Answer:
16/40 = 0.4
Step-by-step explanation:
Find total marbles then divide the number of green by total.
plz help me plz and correctly!!!! only 3 questions plz!!! 100 points
Answer:
Step-by-step explanation:
6)b) Sin A - x Cos A = 0
Sin A = x Cos A
[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]
[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]
[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]
[tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]
= LHS
7a) 1 - Sin A = 1/2
[tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]
⇒ A = 30°
Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]
[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]
LHS = 6 Sec² A + 9 tan² A
[tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]
Geometry helppp please
Answer:
17
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
[tex]8^{2}[/tex] +[tex]15^{2}[/tex] =[tex]c^{2}[/tex]
64 + 225 = [tex]c^{2}[/tex]
289 = [tex]c^{2}[/tex]
[tex]\sqrt{289}[/tex] = [tex]\sqrt{c^{2} }[/tex]
17 = c
Solve for x. x/3 +7 = 10
Answer:
[tex] \frac{x}{3} + 7 = 10 \\ \frac{x}{3} = 10 - 7 \\ \frac{x}{3 } = 3 \\ x = 3 \times 3 \\ x = 9 \\ thank \: you[/tex]
Answer:
x=9
Step-by-step explanation:
x/3 +7 = 10
Subtract 7 from each side
x/3 +7-7 = 10-7
x/3 = 3
Multiply each side by 3
x/3*3 = 3*3
x=9
Simplify by combining like terms: -11 + 2(4x - 1) + 6 (BRAINLIEST)
Answer:
8x-7
Step-by-step explanation:
-11 + 8x - 2 + 6
8x-7 .........
Find the missing number so that the equation has no solutions.
x–10=
–
2x–15
Answer:
X=-5/3
Step-by-step explanation:
What is KN + IK?
!it’s not 1!
….."………….."……how do u do dis?
Answer:
x = -25
Step-by-step explanation:
[tex]3 - \frac{x}{5} = 8[/tex]
[tex]5(3 - \frac{x}{5} ) = 5 \times 8[/tex]
[tex]5 \times 3 - 5 \times \frac{x}{5} = 5 \times 8[/tex]
[tex]15 - 5 \times \frac{x}{5} = 40[/tex]
[tex]15 - x = 40[/tex]
[tex] - x = 40 - 15[/tex]
[tex] - x = 25[/tex]
[tex]x = - 25[/tex]
Answer:
x = - 25
Step-by-step explanation:
Given
3 - [tex]\frac{x}{5}[/tex] = 8 ( subtract 3 from both sides )
- [tex]\frac{x}{5}[/tex] = 5 ( multiply both sides by 5 to clear the fraction )
- x = 25 ( multiply both sides by - 1 )
x = - 25
An amusement park sold 4 discount tickets and 36 full-price tickets. What percentage of the tickets sold were discount tickets?
Julie is arranging pictures in a photo album one time she arranges them into six on each page she rearrange them with eight on each page what is the least number of photos Julie could have put in her album
Answer:
Step-by-step explanation:
P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ = 11x + 5, solve for VP.
If the points P, Q, V and K are collinear, they will follow the segment addition postulate.
Measure of segment VP will be 214 units.
It's given in the question,
P, Q, V and K are collinear.VP = 14x + 4PK = x + 630VQ = 17x + 6KQ = 11x + 5By segment addition postulate,
KQ + VQ + VP = KP
Substitute the values in the expression,
(11x + 5) + (17x + 6) + (14x + 4) = x + 630
(11x + 17x + 14x) + (5 + 6 + 4) = x + 630
42x + 15 = x + 630
42x - x = 630 - 15
41x = 615
x = [tex]\frac{615}{41}[/tex]
x = 15
Therefore, measure of VP = (14x + 4)
= 14(15) + 4
= 214 units
Measure of segment VP will be 214 units.
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BRAINLIEST!!!
Approximate the solution to the graphed system. Explain how you got your answer.
Answer:
(7.5, 12)Step-by-step explanation:
The solution of a linear system is the intersection of the lines.
We can see the lines A and B intersect at the point (7.5, 12) which is the solution.
See attached for better visualization.
Answer:
(7.5,12.5)
Step-by-step explanation:
See the intersected point is almost situated at the middle of 10 and 15 .Hence its 12.5 on y.And the point is situated in the middle of 7 and 8 .Hence its 7.5 on x.Plss tell me guy's plssssssssssssssssssssssssssssssssssssssssssssss
Answer:
According to my equation it's 20°
Write the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1) in slope-intercept form.
Answer:
[tex]y=-\frac{5}{2}x-24[/tex]
Step-by-step explanation:
[tex]2x-5y=-12\\5y=2x+12\\y=\frac{2}{5}x+\frac{12}{5}\\[/tex]
if two lines perpendicular,
[tex]m_{1} .m_{2}=-1\\ \frac{2}{5} .m_{2}=-1\\m_{2}=-\frac{5}{2}[/tex]
the line perpendicular to this line is
[tex]y=-\frac{5}{2}x+k[/tex] ; k ∈ R
the line passes through the point (10,-1)
so,
[tex]-1=-\frac{5}{2} (10)+k\\-1=-25+k\\k=-24[/tex]
∴the equation of the line perpendicular to 2x-5y=-12 that passes through the point (10,-1) is
[tex]y=-\frac{5}{2}x-24[/tex]
If a=b+7 and b+7=9, then a=9
Answer:
a = 9
b = 2
Step-by-step explanation:
Given : a = 9
a = b + 7
9 = b + 7
b = 9 - 7 = 2
If $10,000 is invested at a rate of 3.4 percent for 5 years, how much money is in the account at the end of the term?
$340
$3,400
$10,000
$11,700
Answer:
D. $11,700
Step-by-step explanation:
You withdraw $40 each month from your savings account. what integer represents the change in your balance after 4 months?
Answer:
The balance would be $160 from whatever it was before the 4 months.
Step-by-step explanation:
Since the bank balance is being added by 40 for each month for 4 months, 4 * 40 is just 4*4 with an extra zero on the end. so that would be $160.
So if the balance before was $40, then the new balance after 4 months would be $200.
If there's no money previously, then there is now $160 after 4 months.
If there's a value before the $40 for 4 months, let me know and I will explain and tell you what it is.
please helpppppp!!!!!!!!!
Answer:
64w^2
Step-by-step explanation:
Because 8w is in parentheses, you must apply the exponent to both the 8 and w.
So, it becomes (8*8)(x*x) which equals (64)(x^2).
Which then gives you your final answer, 64x^2.
need help with this please..
Answer:
.1/2
Step-by-step explanation:
is the same as 20÷40
which gives you 1/2
WILL MARK BRAINIEST
Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach's and Ginny's cars.
3x + 2 = 30
x + 2 + 3x = 30
2x + 3 = 30
x + 2x + 3 = 30
Answer:
x + 2 + 3x = 30
Step-by-step explanation:
Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.
Let x = Zach's car length.
Zach's car length is x.
"Ginny's car is 2 more than 3 times the length of Zach's car."
Ginny's car length is 2 + 3x.
Add the lengths:
x + 2 + 3x
"The sum of the lengths of both cars is 30 inches."
x + 2 + 3x = 30
Answer: x + 2 + 3x = 30
find three consecutive even intergers such that the sum of the smallest number and twice the middle number is 20 more than the largest number
Answer:
10, 12, 14
Step-by-step explanation:
Hi there!
Let x be equal to the smallest integer.
Let (x+2) be equal to the next even integer.
Let (x+4) be equal to the largest even integer out of the three.
We're given:
⇒ smallest number + (2 × middle number) = 20 + largest number
Construct an equation:
[tex]x+2(x+2)=20+(x+4)[/tex]
Combine like terms:
[tex]x+2x+4=20+x+4\\3x+4=x+24\\2x=20\\x=10[/tex]
Therefore, the smallest integer is 10, making the next two even integers 12 and 14.
I hope this helps!
The square of the difference between 2x and y
Answer:
this question doesn`t have much information but here`s my best guess
(2x-y)^2
[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y.
1. **Difference between 2x and y:** The difference between 2x and y is calculated by subtracting y from 2x. This gives us the expression "2x - y," which represents the numerical difference between these two quantities.
2. **Square of the Difference:** To square this difference, we simply multiply "2x - y" by itself. When you square something, you multiply it by itself. In mathematical notation, squaring is denoted using an exponent of 2, which is written as "^2."
So, combining the two steps, we have:
[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y. When you expand this expression, you get a quadratic expression, which may include terms like [tex]4x^2, y^2[/tex], and -2xy, among others, depending on the values of x and y.
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A cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz. Determine the compound inequality solution that describes the acceptable weights for a 20 oz box.
I hope it helps you
An compound inequality that describes the acceptable weights for a 20 oz box is 19.25 ≤ x ≤ 20.75.
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To determine the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.
We are Given that, cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz.
Let the weight of cereal box be; w
Now, the inequality is
20-0.75 ≤ x ≤ 20+0.75
Add 20 on both sides of an inequality, we get
19.25 ≤ x ≤ 20.75
Here, 19.25 ≤ x ≤ 20.75
Therefore, an absolute value inequality to find the range of acceptable weights is 19.25 ≤ x ≤ 20.75.
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Answer the question please
Pls help I’ll give you 35 points The depths of the
world's deepest oceans
and seas in feet) are:
12,880; 8,685; 13,002;
13,215; 5,468.
What is the median
depth?
Answer:
12,880
Step-by-step explanation:
You put them in least to greatest and then take one off each end, like the smallest and largest go first(5,468 and 13,215). The median is the one left in the middle and there can be more than one, but in this case there is only one and it is 12,880.
