Answer:
The steps to do this :
[tex]2(g - h) = b + 4[/tex]
[tex]g - h = \frac{b + 4}{2} [/tex]
[tex]g = \frac{b + 4}{2} + h[/tex]
[tex]g = \frac{b}{2} + \frac{4}{2} + h[/tex]
[tex]g = \frac{b}{2} + 2 + h[/tex]
2(g - h)=b + 4
Use the distributive property on the left side:
2g - 2h = b +4
Add 2h to both sides:
2g = 2h + b + 4
Divide both sides by 2:
g = (2h + b + 4)/2
Simplify:
g = b/2 + 2 + h ( note the order of h, 2 and b/2 can be different)
(07.05 MC)
A polynomial function can be written as (2x + 5)(x + 3)(x − 1). What are the zeros of this function? (1 point)
Group of answer choices
A. x= -1, -5/2 ,3
B. x = -3, -5/2, -1
C. x= 1, 5/2, 3
D. x = -3, -5/2, 1
Answer:
D
Step-by-step explanation:
(2x + 5)(x + 3)(x − 1)=0
Use null factor law to solve for x
There are 24 students in the class. They had the choice to buy supplies from two different stores, Store A and B. Each of them bought 2 binders and 5 notebooks. The students have a total of $420 to spend. Part A:
If the unit price of a notebook in Store A is $1. 50, what is the unit price of a binder?
I also want to know if the table is correct
Answer:
yes and b
Step-by-step explanation:
Plot the points A(-4,-6), B(-10, -10), C(-3, -8) on the coordinate axes below. State the coordinates of point D such that A, B, C, and D would form a parallelogram. (Plotting point D is optional.)
Check the picture below.
Coordinates of point D of parallelogram = (3 , -4)
What is parallelogram?A parallelogram is quadrilateral in which opposite angles are equal and opposite sides of the quadrilateral are equal and parallel to each other.
The Diagonals in the parallelogram bisect each other.
Given points
A(-4,-6), B(-10, -10), C(-3, -8)
Let the 4th point D = (x , y)
In a parallelogram, diagonals bisect each other.
midpoint of BD = midpoint of AC
If two points are (x₁ , y₁) and (x₂,y₂)
then midpoint = {(x₁+x₂)/2 , (y₁+y₂)/2}
midpoint of AC = {(-4 + -3)/2 , (-6 + -8)/2}
= {-7/2 , -7}
midpoint of BD = {(-10 + x)/2 , (-10 + y)/2}
Now,
midpoint of BD = midpoint of AC
{-7/2 , -7} = {(-10 + x)/2 , (-10 + y)/2}
Comparing both sides
taking x -coordinate
(-10 + x)/2 = -7/2
Multiplying with 2 on both sides
-10 + x = -7
x = 3
taking y -coordinate
(-10 + y)/2 = -7
Multiplying with 2 on both sides
-10 + y = -14
y = -14 + 10
y = -4
Point D (x , y) = (3, -4)
Hence, (3, -4) are the coordinates of point D of parallelogram.
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What is the exact decimal equivalent of 7/12 ??
Answer:0.583
7/12 as a decimal is equivalent to 0.583.
Step-by-step explanation:
Answer:
0.583
Step-by-step explanation:
in this case we must divide the numerator by the denominator ie.(7÷12)
A piece of property has the shape of a right triangle. the longer leg is 10m shorter than twice the length of the shorter leg and the hypotenuse is 20m longer than the length of the longer leg. find the length of the sides of the triangle
Answer: 80 m, 150 m, 170 m
Step-by-step explanation:
Choose the best selection for the
quadrilateral with vertices at the
following points:
(0,0), (0,4), (8,4), (8,0)
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid
The quadrilateral with vertices (0, 0), (0, 4), (8, 4) and (8,0) makes the rectangle.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
The given points are,
(0, 0), (0, 4), (8, 4) and (8,0).
To determine the section for the quadrilateral,
Find distance between points.
The distance between two points A(x₁, y₁) and B(x₂, y₂)
Distance
= √(x₂ - x₁)² + (y₂ - y₁)²
The distance between (0, 0) and (0, 4)
= √(0-0)² + (4-0)² = √(0)² + (4)² = √(4)² = 4
The distance between (0, 4) and (8, 4)
= √(8-0)² + (4-4)² = √(8)² + (0)² = √(8)² = 8
The distance between (8, 4) and (8, 0)
= √(8 - 8)² + (0 - (4))² = √(0)² + (4)² = √(4)² = 4
The distance between (8, 0) and (0, 0)
= √(0 - 8)² + (0- 0)² = √(-8)² + (0)² = √(8)² = 8
Since, the opposite sides are equal,
Therefore, the quadrilateral is rectangle.
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What is the opposite of (x+120)?
Answer:
-(x+120)
Step-by-step explanation:
You have been saving nickels, dimes, and quarters in a jar for about a year. You decide to see how much money you've saved up. When you get everything counted it turns out you have 361 total nickels, dimes, and quarters worth a total of $41.45. You think is is odd that you have exactly twice as many dimes as quarters. Find the number of each coin. Number of Nickels: Number of Dimes: Number of Quarters:
Answer:
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Step-by-step explanation:
Let
x = number of nickels
y = number of dimes
z = number of quarters
Total worth of the coins = $41.45
Total number of coins = 361
x + y + z = 361 (1)
dime = $0.1,
nickel = $0.05
quarter = $0.25
0.05x + 0.1y + 0.25z = 41.45 (2)
twice as many dimes as quarters.
y = 2z
Substitute y = 2z into (1) and (2)
x + 2z + z = 361
0.05x + 0.1(2z) + 0.25z = 41.45
x + 3z = 361
0.05x + 0.2z + 0.25z = 41.45
x + 3z = 361 (3)
0.05x + 0.45z = 41.45 (4)
Multiply (4) by 20
x + 3z = 361 (3)
x + 9z = 829 (5)
Subtract (3) from (5)
9z - 3z = 829 - 361
6z = 468
Divide both sides by 6
z = 468 / 6
= 78
z= 78
Recall,
y = 2z
= 2(78)
= 156
y = 156
Substitute the value of y and z into
x + y + z = 361
x + 156 + 78 = 361
x + 234 = 361
x = 361 - 234
= 127
x= 127
x = number of nickels = 127
y = number of dimes = 156
z = number of quarters = 78
Can someone help me with this pls
Answer:
D
Step-by-step explanation:
it goes from 3 to 5
the sum
of the square of two consecutive
odd intergers is
290. Find the integers.
Answer:
11 & 13 or - 13 & - 11
Step-by-step explanation:
Let the integers are a - 1 and a + 1.
Sum of squares = 290
=> (a - 1)² + (a + 1)² = 290
=> a² + 1² - 2a + a² + 1² + 2a = 290
=> 2a² + 2 = 290
=> 2(a² + 1) = 290
=> a² + 1 = 290/2 = 145
=> a² = 145 - 1 = 144
=> a = ± √144 = ± 12
If a = + 12, numbers are
12 - 1 = 11 & 12 + 1 = 13
If a = - 12, numbers are
- 12- 1 = - 13 & - 12 + 1 = - 11
A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and voting rights. There are 8 faculty members and 13 students eligible to serve on the committee. In how many ways can the committee be formed?
Answer:
Step-by-step explanation:
This question bothers on combination. combination has to do with selection.
If 4 faculty members are chosen from total of 8 faculty members, this can be done in 8C4 number of ways.
8C4 = 8!/(8-4)!4!
8C4 = 8!/4!4!
8C4 = 8*7*6*5*4!/4!*4*3*2
8c4 = 8*7*6*5/24
8C4 = 7*5*2
8C4 =70 ways
Similarly, 5 students are to be selected from a pool of 13 students, this can be done in 13C5 number of ways.
13C5 = 13!/(13-5)!5!
13C5 = 13!/8!5!
13C5 = 13*12*11*10*9*8!/8!*5*4*3*2
13C5 = 13*12*11*10*9/120
13C5 = 1,287 ways
The total number of ways the committee can be formed is 8C4 * 13C5 = 70*1287
The total number of ways the committee can be formed is 90,090 ways
Find the volume of the cylinder. Either enter an exact answer in terms of or use 3.14 for T. 2 -3 units
solution -V=πr2h=π·32·2≈56.54867
answer-V≈56.55
Pls help me with this questions
Answer:
1. First, we need to find the area of the rectangle, then subtract the non-shaded region from the total of the rectangle's area.
Area of rectangle formula;
A = LW
Where 'L' represents the length, and 'W' represents the width.
Plug in your values:
A = LW
A = 8(13)
A = 104, now that we've found the area of this total rectangle, we need to find the area of the triangle and subtract that from the area of the rectangle.
Formula for area of triangle;
A = BH x 1/2
Where 'B' represents the base, and 'H' represents the height and 1/2 is just 1/2.
But, if we look at this triangle we can see that we don't have the base.
So what we have to do is subtract the given side lengths beside it (which you add up) from the total width.
Given length beside unknown base: 4 and 4
So, (4 + 4) = 8, and the total width is 13.
So: 13 - 8 = 5, 5 is our base.
Now we plug these into our formula:
A = BH x 1/2
A = 5(6) x 1/2
A = 30 x 1/2
A = 30/2, which equals to 15.
Now we subtract the non shaded region(triangle) from the shaded region(total area of rectangle).
104 - 15 = 89 meters.
2. In this figure, we find the area of the whole triangle, not considering the small empty vertical-positioned rectangle to the bottom left corner.
Let's find the total base and total height.
As we can see, in the bottom triangle the height is 4, the other triangle has a height of 5. Combine these to get (4 + 5) = 9 is our total height of the whole triangle.
Now we find the base, 5 is the base of the bottom triangle and the other triangle has a base of 2, combine these to get: (5 + 2) = 7 is the total base of the whole triangle.
Now plug these into our formula of area of triangle;
A = BH x 1/2
A= 7(9) x 1/2
A = 63/2
A = 31.5, is the area of the whole triangle.
Now let's find the area of the empty rectangle to our bottom left corner.
Our length is 4, our width is 2.
A = LW
A = 4(2)
A = 8
Now subtract the empty rectangle's area from the total area of the triangle:-
31.5 - 8 = 23.5 inches.
3. We can see that in this figure, there is an empty semi circle(that has no area) apart of a square.
So to find the area of the unfinished square, we find the area of the semi circle and subtract it from the total area of the square.
Formula for area of a circle:
A = π[tex]r^{2}[/tex]
Where 'π' represents pi aka (22/7 or 3.14), and 'r' represents the radius which is being squared.
But if we were to find the area of a semi circle, we would have to divide the whole formula of a regular circle by 2.
So, A = π[tex]r^{2}[/tex]/2
Now, we plug in the values showing in the diagram into our equation.
Though, since we are given a diameter of 6, we need to find the radius which is 1/2(half) of the diameter.
SO,
1/2 x 6 = 3.
Now that we have our radius, we can finally plug this into our equation:-
A = π[tex]r^{2}[/tex]/2
A = 3.14(3^2)/2
A = 3.14(9)/2
A = 28.26/2
A = 14.13, is our area of the semi circle.
Now we have to find the total area of the square, which we easily just multiply the two lengths.
6(length) x 6(width)
= 36, is the area of the total square.
Now we subtract the area of the semi circle from the area of the total square:
36 - 14.13 = 21.87 feet.
4. To find the area of this, we must split the figure into two shapes, a rectangle and a semi circle.
Using the formulas we applied to our past problems;
(Rectangle)
A = LW
A = 20(8)
A = 160, is the area of the rectangle
Now the semi circle (ignore the 12.56, because it's just the circumference):
We have to find the radius, (1/2 x diameter), so: (1/2 x 8) = 4 is our radius.
A = π[tex]r^{2}[/tex]/2
A = 3.14(4^2)/2
A = 3.14(16)/2
A = 50.24/2
A = 25.12, is the area of the semi circle.
Now we add the two areas,
160 + 25.12 = 185.12 feet.
5. We split this figure into two shapes, a rectangle and a triangle.
Using the formulas we applied earlier to our past problems.
(Rectangle)
A = LW
A = 14(12)
A = 168, is the area of the rectangle.
(Triangle)
A = BH x 1/2
A = 8(12) x 1/2
A = 96 x 1/2
A = 96/2
A = 48, is the area of the triangle.
Now we add these areas;
168 + 48 = 216 centimetres.
A dinner plate is in the shaper of an isosceles right triangle. The leg length is 13 inches. What is the length of the perimeter of the hypotenuse, round to the nearest tenth?
Answer: 18.4 inches
Step-by-step explanation:
Which line matches the equation below? *
f(x) = 31
O
Red
Blue
Green
Purple
Step-by-step explanation:
there is a mistake in your question for sure.
because none of the lines match the function.
f(x) = 31
is a constant function represented by a straight horizontal line going through y = 31.
there is no such line in the graph.
What is the quotient of 3968 divided by 32
Answer:
124 is your answer to the question
Step-by-step explanation:
Q2. Find the value of x
Answer:
x= -7
Step-by-step explanation:
subtract 139 from both sides
x-139-139=x
132-139= -7
Find answers 1,2,3 given the figure
For this sequence describe (in words) a way to produce each new term from the previous term.
Find common ratio:-
1/9/(1/3)=31/3(3)=11(3)=33(3)=9Just Multiply 3 with previous term to get next one
A restaurant bill is $69. A customer wants to leave a 10% tip. How much should the tip be?
Answer:
$6.90
Step-by-step explanation:
The tip should be $6.90 because you take the 10% tip and turn that into a decimal (0.10) and just multiply that by the bill.
Devin buys 12 candy bars for
$12. He sells them for $1
each. What's wrong with this
scenario?
do
What would
you
differently?
EASY POINTS
Thomas has some leftover paint that he would like to sell. He mixes
4 3/8
gallons of blue paint with 6 5/8
gallons of white paint. Then, he pours this light-blue mixture into
1/4
gallon containers. To find out how many of these
1/4
gallon containers he can fill, which two equations would you need?
Answer:
4 3/8+6 5/8=x and x÷1/4=number of gallons
Answer:
4 3/8+6 5/8=x and x÷1/4=number of gallons
Step-by-step explanation:
Please help, for math 100 points!!!
Note:-
Calculated approximate values as we can't use ruler in screen !
#1
Sides are
6in3in7in4inPerimeter=20in=20(8)=160ft#2
Perimeter=2(2+1.5)=2(3.5)=7in=7(8)=56ft#3
Width:-
2in2(8)16ftWhat number makes the equation true enter the answer in the text box
Answer:
2
Step-by-step explanation:
because 2x4=8
so 2/8=4
Answer:
32
Step-by-step explanation:
firstly do the inverse which is 4 times 8 which is 32
then to check if ur answer is correct do 32 ÷8 which is 4
A triangular park ABC has sides 120m, 80m and 50m (see Fig. 12.7). A
gardener Dhania has to put a fence all around it and also plant grass inside. How
much area does she need to plant? Find the cost of fencing it with barbed wire at the
rate of Rs 20 per metre leaving a space 3m wide for a gate on one side.
pls answer ASAP
The fence would cover the perimeter of the triangle.
The perimeter is the sum of the 3 sides:
120 + 80 + 50 = 250 meters.
There will be a 3 meter space for the gate, so subtract 3:
250 - 3 = 247 meters of fence is needed.
Now multiply the amount of fences needed by the price per meter:
247 x 20 = Rs 4,490
PLEASE ANSWER THIS QUESTION I WILL GIVE BRAINLIEST!!!
Find the value of x in this case-
Already answered here: https://brainly.com/question/26946183
Hi, can someone answer this for me?
Step-by-step explanation:
that's for roman I.......
A gift shop wants to make gift baskets for its regular customers. There are 24 bottles of shampoo, 36 tubes of hand lotion, and 60 bars of soap. The same number of each item should be in each basket. What is the greatest number of baskets that can be made.
Answer:
12 baskets
Step-by-step explanation:
We solve this question using the Greatest Common Factor method.
We are told that:
There are
24 bottles of shampoo
36 tubes of hand lotion
60 bars of soap.
The same number of each item should be in each basket.
The greatest number of baskets is calculated as follows:
Step 1
We find the factors of 24, 36, 60
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Step 2
We Identify the number that is greatest and common amongst 24, 36 and 60
This is 12.
Then the greatest common factor is 12
Therefore, the greatest number of baskets is 12 baskets
please answer!!
options:
a) 2
b) -2
c) -4
d) 0