Answer:
Hey There!
Let's solve...
[tex] \frac{a}{a + 2} = \frac{3}{5} \\ \\ [/tex]
if a/b=c/d,then it will be a*d=b*c
Note: * means "×" or multiply
Let's continue...
[tex]a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a \\ [/tex]
[tex]now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3 [/tex]
So final answer is a=3
I hope it is helpful to you...Cheers!___________The value of a in the equation is 3
The equation is given as:
[tex]\frac{a}{a+2} =\frac 35[/tex]
Start by cross multiplying the above equation
[tex]5 \times a = 3 *(a + 2)[/tex]
Simplify each product
[tex]5a =3a + 6[/tex]
Collect like terms
[tex]5a -3a = 6[/tex]
Evaluate the difference
[tex]2a = 6[/tex]
Divide both sides by 2
[tex]a = 3[/tex]
Hence, the result of the equation is 3
Read more about equations at:
https://brainly.com/question/2972832
Billy has a $40 gift card. She spends $10 per week. Write a linear equation for this situation.
(Hint: Use y = mx + b, where y is money remaining, m is loss per week, and b is the starting money.)
how to graph equations using x and y intercepts
Answer:
uhhh maybe ( x + 2 ) = y
Step-by-step explanation:
i dont know im on break and I don forgot how to do this
If one of the roots of the equation x² – 4x + k = 0 exceeds the other by 2, then find the roots and determine the value of k.
Step-by-step explanation:
the solutions for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -4
c = k
x = (4 ± sqrt(16 - 4k))/2 = 2 ± sqrt(4 - k)
x1 = 2 + sqrt(4 - k)
x2 = 2 - sqrt (4 - k)
x1 = 2 + x2
2 + sqrt(4 - k) = 2 + 2 - sqrt(4 - k)
2×sqrt(4 - k) = 2
sqrt(4 - k) = 1
4 - k = 1
k = 4 - 1 = 3
x1 = 3
x2 = 1
Answer:
The roots are 1 and 3.
k = 3.
Step- by-step explanation:
We use the facts that if α and β are the roots of ax^2 + bx + c = o then α+ β = -b/a and α β = c/a.
The roots are written as α and α+2, then:
α + α + 2 = -(-4)
2α + 2 = 4
α + 1 = 2
α = 1
also
α (α + 2) = k
Substituting for α:
1(1 + 2) = k
k = 3.
The roots are 1 and 1 + 2 = 3.
Can you help me please ?
Answer:
A
Step-by-step explanation:rise⇵ over run ⇄
the rise is -6 the run is 3
help please anybody hmm
Answer:
94.6-18.8=75.8
75.8 is the answer
Step-by-step explanation:
Hope this helps
May i get braineist pls?
Pls help! Will mark Branliest!! 50 points for whoever answers!!!!!!
Answer: See below
Step-by-step explanation:
Isolate x for x-2y+2z=9
3x=9+2y
[tex]x=\frac{9+2y}{3}[/tex]....(1)
Substitute (1) into the 2nd equation
[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]
[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]
7y=-3
y=-3/7
Substitute y=-3/7
[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]
[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]
Isolate z by substituting it
[tex]3z+\frac{53}{7}=16[/tex]
[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]
[tex]z=\frac{59}{21}[/tex]
For x =9+2y/3 substitute z=59/21 and y=-3/7
[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]
[tex]x=\frac{19}{7}[/tex]
[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]
Answer:
(1, - 1, 3 )
Step-by-step explanation:
x - 2y + 2z = 9 → (1)
- x + 3y = - 4 → (2)
2x - 5y + 3z = 16 → (3)
Add (1) and (2) term by term to eliminate x
y + 2z = 5 → (4)
Multiply (2) by 2
- 2x + 6y = - 8 → (5)
Add (3) and (5) term by term to eliminate x
y + 3z = 8 → (6)
Subtract (6) from (4) term by term to eliminate y
- z = - 3 ( multiply both sides by - 1 )
z = 3
Substitute z = 3 into (4)
y + 2(3) = 5
y + 6 = 5 ( subtract 6 from both sides )
y = - 1
Substitute y = - 1, z = 3 into (1) and solve for x
x - 2(- 1) + 2(3) = 9
x + 2 + 6 = 9
x + 8 = 9 ( subtract 8 from both sides )
x = 1
solution is (1, - 1, 3 )
David is deciding between two parking garages. Garage A charges an initial fee of $7 to park plus $3 per hour. Garage B charges an initial fee of $4 to park plus $4 per hour. Let A represent the amount Garage A would charge if David parks for t hours, and let B represent the amount Garage B would charge if David parks for hours . Write an equation for each situation , in terms of t, and determine which garage would be cheaper if David needs to park for 2 hours .
Answer:
Step-by-step explanation:
Garage A = 7+3t
Garage B = 4+4t
Garage A = 7+6
Garage B = 4+8
B = Cheaper
Answer:
A = 3t + 7, B = 4t + 4, B is cheaper
Step-by-step explanation:
A = 3(2) + 7 = 6 + 7 = 13
B = 4(2) + 4 = 8 + 4 = 12
Complete the table for this equation.
y=x−3
Enter your answers by filling in the boxes.
x y
5
6
7
8
9
Answer:
5 => 2
6 => 3
7 => 4
8 => 5
9 => 6
Answer:
2,3,4,5,6
Step-by-step explanation:
y = 5 - 3 = 2
y = 6 - 3 = 3
y = 7 - 3 = 4
y = 8 - 3 = 5
y = 9 - 3 = 6
2. 52,000 people attended a concert. Main floor tickets cost $25 each and upper-level tickets
were $12 each. A total of $1,144,000 worth of tickets were sold. How many upper level
tickets were sold?
Answer:
x (upper level) = 12,000 tickets
Step-by-step explanation:
Firstly, let's convert this gibberish text into the information we want. :D
Total amount of people = 52,000
Main floor tickets = $25 each
Total: $1,144,000
Let the amount of people who brought upper level tickets be x and main floor tickets be y. (assumming 1 ticket = 1 person)
Thus, we come up with this simultaneous equation:
[tex]12x + 25y = 1,144,000\\x + y = 52,000[/tex]
The first equation finds the price of the ticket, while the second is the amount of people.
x (upper level) = 12,000
y = 40,000
Hope this helps! :)
If x=9 and y=- -2 evaluate the following expression:
x+y
Answer:
x + y = 11
Step-by-step explanation:
You would need to substitute the numbers into the expression.
Evaluate means that we need to work out what the answer would be.
x + y is equivalent to 9 - - 2.
- - is equivalent to +.
Therefore you would do 9 + 2, which equals 11.
Hope this helps :)
A recipe that serves 8 people requires 4 1/2 cups of flour. How many servings are in one recipe? Suppose you need to make enough to serve 24 people. How many batches of the recipe would you need to make?
Answer:
check online for more information
Answer:
Check online for more informations.
Simplify to find the answer
[tex]\frac{-8(7-\sqrt{2)} }{47}[/tex]
For what value of x is line a parallel to line b?
Answer:
x = 22
Step-by-step explanation:
4x + 28 = 116 (corresponding angles are equal when two lines are parallel)
4x = 88
x = 22
Corresponding angles must be equal
[tex]\\ \tt\hookrightarrow 4x+28=116[/tex]
[tex]\\ \tt\hookrightarrow 4x=116-28[/tex]
[tex]\\ \tt\hookrightarrow 4x=88[/tex]
[tex]\\ \tt\hookrightarrow x=22[/tex]
Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC
Answer:
Perimeter of ΔABC: [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] units
Area of ΔABC: [tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] units
Skills required: HS Geo, Special Triangles
Step-by-step explanation:
1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.
2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.
This states that if the side opposite the 30 degree angle is [tex]x[/tex], the side opposite the 60 degree angle is [tex]x*\sqrt3[/tex], and the side opposite the 90 degree angle is [tex]2x[/tex].AB is 9 units, and it is opposite the 90 degree angle. This means that [tex]2x=9, x = \frac{9}{2}[/tex] ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is [tex]\frac{9}{2}[/tex] units. Segment BD (the height) is [tex]\frac{9}{2} * \sqrt3[/tex].
3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.
This states that if the side opposite the 45 degree angle is [tex]x[/tex], the other side opposite a 45 degree angle is also [tex]x[/tex], but the hypotenuse (side opposite the right (90 degree) angle) is [tex]\sqrt{2}*x[/tex].BD is [tex]\frac{9}{2} * \sqrt3[/tex], which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is [tex]\frac{9}{2} * \sqrt6[/tex].
4) Area is [tex]\frac{1}{2}*b*h[/tex], the base (b) is AC (which is [tex]\frac{9}{2}+\frac{9}{2}*\sqrt3[/tex]), the height is BD ([tex]\frac{9}{2}*\sqrt3[/tex]). When multiple you will get [tex]\frac{81}{4}*\sqrt3 + \frac{243}{4}[/tex], then this multiplied by 1/2 is
[tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] <--> this is the area!
5) Perimeter is just the sum of all side: 9 + [tex]\frac{9}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] = [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] unit
what is 12/3/5 simplified?
Answer:
1/4
Step-by-step explanation:
Divide both the numerator and denominator by the GCD 9 ÷ 9
36 ÷ 9
Reduced fraction: 1/4 Therefore, 9/36 simplified to lowest terms is 1/4.
What starts with a p has a t in the middle and has an R at the end that has 12 letters that is for ur body
Note: its not any subject for school and its not anything for school so ignore the mathematics subject thing.
Answer:
Pronator??
Step-by-step explanation:
A. -78
B. 49
C. 53
D. 14
Answer: 49
Step-by-step explanation:
stions 5-7 the Grade 6 pupils graduated? In a school of 680 Grade 6 pupils, 646 graduated. What percent of the Grade 6 pupils graduated ?
Answer:
95% of Grade 6 pupils graduated
Answer:
95% of Grade 6 Pupils Graduated
Step-by-step explanation:
Express the Statement Mathematically:
646/680Add Percentage
646/680 * 100%By Division
0.95 * 100%Then, Multiply
95%How i can answer this question
Answer:
A
Step-by-step explanation:
They both equal 2(x+y+1)
help me with this math problem pleasee. I will give brainliest to the correct answer
Answer:
answer is x=15
AM=18
AB=4
1=2
2=10
3=20
Add the following: (i) 2a+b+c, a - b -c, 3a + b
ok sooo um another post again hahahaha
but anyways, to the question.
Explain the meaning of the inequality statement in terms of distance from a starting point in a real world setting.
20.2 miles > 17.6 miles
Answer:
Enter a value for a so that the system of equations shown has infinitely many solutions.
y = −5x + 9y = ax + 9
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
B. H, I, JH(-5, -5), I(0, -6), J(2, -8)Step-by-step explanation:
You have to draw sets:
[tex]y<\dfrac{1}{2}x-1\qquad(1)\\\\y\leq-3x+2\qquad(2)[/tex]
in the coordinates system.
[tex]y=\dfrac{1}{2}x-1\\\\x=0\to y=\dfrac{1}{2}\cdot0-1=-1\to(0,\ -1)\\\\x=2\to y=\dfrac{1}{2}\cdot2-1=1-1=0\to(2,\ 0)[/tex]
dashed line
mark the region below the line
[tex]y=-3x+2\\\\x=0\to y=-3\cdot0+2=2\to(0,\ 2)\\\\x=1\to y=-3\cdot1+2=-3+2=-1\to(1,\ -1)[/tex]
solid line
mark the region below the line
Read points on the common region (look at the picture).
if you have 6 apples and you give 2 apples to Ciara how many apples do you have? (hint you don't have friends)
Answer:
4
Step-by-step explanation:
6 - 2 = 4
Answer:
4
Step-by-step explanation:
Ciara is not my friend but she's my sister
HELP PLEASE! FOR 50 POINTS
Does order matter when performing a composition of two transformations of the same type? Explain.
what is 3.95 rounded to the nearest whole number
Answer:
4
Step-by-step explanation:
Answer:
3.95 ≈ 4
Step-by-step explanation:
A whole number refers to a whole integer, meaning there can be no decimals or fractions. Follow the rule 4 and below to round down, and 5 and above to round up.
The digit in the hundreds place is 4 less then 5.
Yes?? i dont understand the question that much
Step-by-step explanation:
activist judges believe that federal judges should
Answer:
beyond the words of a constitution or statute to consider the broader societal implications of their decisions.
Step-by-step explanation:
how many integers between 100 and 999 (inclusive) have distinct digits
Answer:
648
Step-by-step explanation:
Running this in Python, with the code as follows,
import math
cur_numbers = [0] * 3
num = 0
for i in range(100, 1000):
cur_numbers[2] = i % 10
i = math.floor(i/10)
cur_numbers[1] = i % 10
i = math.floor(i/10)
cur_numbers[0] = i % 10
if(len(set(cur_numbers)) == 3):
num += 1
print(cur_numbers)
print(num), we get 648 as our answer.
Another way to solve this is as follows:
There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have
9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit = 648