Answer:
y=55/64
Step-by-step explanation:7
8y−6
=8
Step 1: Multiply both sides by 8y-6.
7=64y−48
64y−48=7(Flip the equation)
64y−48+48=7+48(Add 48 to both sides)
64y=55
64y
64
=
55
64
(Divide both sides by 64)
y=
55
64
Check answers. (Plug them in to make sure they work.)
y=
55
64
(Works in original equation)
Answer:
y=
55
64
The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?
Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]
So, 125790 different committees can be chosen.
An elevator is on the 15th floor. it goes down eight floors. What floor is the elevator on now?
Answer:
7
Step-by-step explanation:
15 - 8 = 7
Find the vault of each variable
I need help with geometry
Answer:
ASA congruency and corresponding sides of congruent triangles are congruent
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 4x – y = 9.
Fully reduce your answer.
Help
ANSWER: -1/4
EXPLANATION:
4x-y=9
y=4x-9
(so slope/gradient of this line is 4 as y= mx+c and the coefficient of x here is 4)
(formula for perpendicular slopes) m1 multiplied by m2 = -1, where m= gradient
So, m1 x 4= -1
m of perp line= -1/4
write an equation in slope-intercept form for this line.
Answer:
y = - 8x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 8, then
y = - 8x + c ← is the partial equation
To find c substitute (- 1, 4 ) into the partial equation
4 = 8 + c ⇒ c = 4 - 8 = - 4
y = - 8x - 4 ← equation of line
C=242 use 22/7 as pie find the radius
Answer: r=38.5
Step-by-step explanation:
Use circumference equation 242=2(22/7)r
Can someone pleasee help or explain to me how u do this? I don’t really Understand ?
Select all the equations that have x=4 as the solution *
A 42 = 38 + x
B x + 15 = 19
C 18 = x - 2
D 32 = 36 - x
E 52 - x = 46
Answer:
A B D
Step-by-step explanation:
A 38+4=42
B 4+15=19
C 18= 20-2
D 32= 36-4
E 52-6=46
(5, -7)
(10, 5)
2
5+
Answer:
Whats the Question
Step-by-step explanation:
This doesn't make sense
PLEASE HELP! YOU WILL GET 10 BRAINLIST!! PLEASE SHOW ALL OF YOUR WORK/HOW YOU GOT THE ANSWER
-2(y+4)-2y >8
Answer:
-2(y+4)-2y >8
-2y-8-2y>8
-4y-8>8
-4y<8+8
When you move a number on the other side it changes the side then > will become <
-4y<16
-4y/-4<16/-4
y<-4
She said I drove her away with my emotions
express the ratio in its simplest form 12cm to the 2nd power :3m to the 2nd power
Answer:
16:1
plz brainliestt
Step-by-step explanation:
144 : 9
Answer:
16:1
Step-by-step explanation:
so like imma ask dis one more time
Answer:
1/4+1/32
Step-by-step explanation:
1/4+1/4=1/2
1/32+1/32=1/16
I hope this helps:
Plss help this is due tmrr
Answer:
1) 17.80
2) 25.09
Step-by-step explanation:
1) From the diagram,
Opposite = x
Hypotenuse = 22
Angle of elevation = 54°
According to SOH trigonometry identity
sin theta = opposite/hyp
sin 54 = x/22
x = 22sin54
x = 17.798
Hence the value of x is 17.80 to the nearest hundredth
2) Opposite = 11
hypotenuse = x
Angle of depression = 26°
sin 26 = opp/hyp
sin 26 = 11/x
x = 11/sin26
x = 11/0.4384
x = 25.09
Hence the value of x to nearest hundredth is 25.09
The graph shows the distance Julie walks over time. Does she walk at a constant or variable
speed? How fast
is Julie walking?
a. variable speed; 8 mi/h
b. constant speed; 2 mi/h
c. constant speed; 4 mi/h
d. constant speed; 8 mi/h
Which of the following rational functions is graphed below?
Answer: Choice C [tex]f(x) = \frac{1}{x(x+4)}[/tex]
========================================================
Explanation:
The vertical asymptotes are the red dashed lines. They are x = -4 and x = 0. Think of them as electric fences that the graph cannot touch or cross. The curve can only get closer and closer.
The vertical asymptote is due to a division by zero error.
When x = 0, the denominator x(x+4) turns into 0 since
x(x+4) = 0(0+4) = 0*4 = 0
Similarly, when x = -4, the denominator is also zero
x(x+4) = -4(-4+4) = -4*0 = 0
So if x = -4 or x = 0, then we have a division by zero error and that's what produces the vertical asymptotes at those locations shown on the graph.
This is why the answer is choice C. [tex]f(x) = \frac{1}{x(x+4)}[/tex]
A gardener wants to build a rectangular fence for his prize winning roses. The length of the fence should be at least 6 feet and the distance around it should be no more than 18 feet. What are the possible dimensions?
Answer:
Dimension = 6 feet × 3 feet
Step-by-step explanation:
From the question given above, the following data were obtained:
Length (L) = 6 feet
Distance around the fence (Perimeter) = 18 feet
Dimension of the fence =?
Next, we shall determine the breadth of the rectangular fence. This can be obtained as follow:
Length (L) = 6 feet
Perimeter (P) = 18 feet
Breadth (B) =?
Perimeter of rectangle is given by:
P = 2(L + B)
18 = 2 (6 + B)
Clear the bracket
18 = 12 + 2B
Collect like terms
18 – 12 = 2B
6 = 2B
Divide both side by 2
B = 6/2
B = 3
Thus, the breadth of the rectangular fence is 3 feet
Dimension of the rectangular fence is given by:
Dimension = length × Breadth
Length (L) = 6 feet
Breadth (B) = 3 feet
Dimension = 6 feet × 3 feet
c. As the price of the bananas decreased by 15%, 3 more bananas were bought for 100 dollars. What is the price of bananas per dozen at present
Answer:
which question is this referred to?
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. How many children and how many adults attended?
Given :
The admission fee at a small fair is $1.50 for children and $4.00 for adults.
On a certain day, 2,200 people enter the fair and $5,050 is collected.
To Find :
How many children and how many adults attended.
Solution :
Let, number of children and adults attended are c and a.
So, c + a = 2200 ....1)
Now, fair collected is given by :
1.5c + 4a = 5050 ....2)
Putting value of a from equation 1) to 2), we get :
1.5c + 4( 2200 - c ) = 5050
1.5c - 4c = 5050 - 8800
2.5c = 3750
c = 1500
a = 2200 - 1500
a = 700
Therefore, 1500 children and 700 adults attended the fair.
Write an inequality for the graph. pls help
Write the equation of a line parallel to the line y = 2x that passes through 0,4
Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.
Answer:
y = 2x + 4
Step-by-step explanation:
To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.
1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.
y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.
2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.
3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).
FIND THE VALUE OF X.
GIVEN ABCDEF~JKLMNP.
The radius of the circle on a basketball court is 6 feet. What are the approximate
circumference and area of the circle?
Circumference: 37.7 feet
Area: 113.0 square feet
Circumference: 18.8 feet
Area: 37.7 square feet
Circumference: 18.8 feet
Area: 113.0 square feet
Circumference: 12.0 feet
Area: 18.8 square feet
Answer:
C= 37.69ft
A= 113.09ft
Step-by-step explanation:
Circumference=
=37.69
Area=
Area = pi * 6 ^2
Area =113.09
The figure shows a truss used in the construction of a building. The measure of ∠1 is 39°. Find the measure of ∠2.
Answer:
39
Step-by-step explanation:
Since the first measure is 39 that means the second is 39 because its the same.
plz help meee 2 more problems and I am done
Answer:
Step-by-step explanation:
Figure 1,
EA and EB are the opposite rays.
EC bisects angle FEG.
a). m∠FEC = [tex]\frac{1}{2}(m\angle FEG)[/tex]
(2x + 6) = [tex]\frac{1}{2}(40)[/tex]
2x + 6 = 20
2x = 14
x = 7
b). ED⊥AB
Therefore, m∠AED = 90°
m∠AED = 11y + 13 = 90°
11y = 90 - 13
11y = 77
y = 7
Figure 2,
NC bisects ∠WNB,
Therefore, ∠WNC ≅ ∠CNB
m∠WNC = m∠CNB
3v - 4 = 2v + 6
3v - 2v = 4 + 6
v = 10
Therefore, m∠WNC = x = (3v - 4)
x = 3(10) - 10
= 30 - 10
x = 20
Translate the phrases to algebraic expressions.
The sum of 8 times a number and 3
Answer:
8x+3
Step-by-step explanation:
Answer:
8x + 3
Step-by-step explanation:
20 points
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which
statements can be used to write an expression and then find the number of peanuts that ended up in each bag?
Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction,
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answer:
I think the answer is A, D, E, F, and G.
Tell me if i'm right or wrong please.
Answer:
adefg
Step-by-step explanation:
Carrie is making a temporary ramp from the ground to the top of his patio so that he can roll a cart up to it to move furniture in. The surface of the patio is 3‘9“ above the ground and Gary wants the ramp to have a slope of no more than 0.375. What is the shortest horizontal distance he can have from the base of the patio to the base of the ramp
9514 1404 393
Answer:
10 ft
Step-by-step explanation:
The slope is rise/run. Using Gary's numbers, we have ...
m = rise/run
0.375 ≥ (3.75 ft)/run
run ≥ (3.75 ft)/0.375
run ≥ 10 ft
The shortest horizontal distance to the base of the ramp is 10 feet.
Help if you know the answer it due ASAP
Answer: ∠2 and ∠7
Step-by-step explanation:
Alternate exterior angles are a pair of angles on the outer side of each of the parallel lines but on opposite sides of the transversal.
Hope I helped!