Answer:
8 more red counters
Step-by-step explanation:
By adding 8 red counters you would get the ratio
9:3, which can then simplify to 3:1
Answer:
8 more red counters
Step-by-step explanation:
As there are 3 blue counters, and you want 3 times as many red counters as blue counters:
3×3= 9
You want 9 counters. But there is already a red counter so,
9-1= 8
The tabletop below is made from right triangles, each the same size. Your company charges $0.20 per square inch for sanding the tabletop. Which of the following is closest to the tabletop’s area, in square inches? 550 950 2,800 3,950 5,600
Answer:
correct answer is 2800.
Step-by-step explanation:
You take the area of the square which is 20x20 = 400.
There is 5 squares 400x5 = 2000
There is 4 triangles--which is 1/2 the area of 1 square (In this case).
One triangle = 200
200x4 = 800
2000 + 800 = 2800
Answer:
Step-by-step explanation:
550
5 mL =____gtt
A. 75
B. 100
C. 50
D. 25
Answer:
Answer:
b. 100
Step-by-step explanation:
Jonathan has 2/3 of a pound of bird seed left to share equally among 6 bird cages in his pet shop. How many pounds can he put in each bird cage.
Answer: 4 scoops
Step-by-step explanation:
2/3 % 1/6 = 4 scoops
Answer:
1/9 pounds
Step-by-step explanation:
2/3 divide by 6
flip the 6 when dividing and then change division sign to multiplication
2/3 (1/6)
[tex] \frac{2}{3} \times \frac{1}{6} [/tex]
then multiply and simplify 2/18
23 more than the product of 7 and a number
Answer:
7x + 23
Step-by-step explanation:
Remember BPEMDAS.
Product of 7 and a number means 7 times a variable: 7x
23 more than part means 23 + whatever we just did, so:
7x + 23
Answer:
23+7x
Step-by-step explanation:
23 + (7 * x)
23+7x
Construction crews A,B,C and D build a 1200 meter long road. Team A builds 1/2 of the total length built by the other 3 teams. Team B builds 1/3 of the total length built by the other 3 teams. C builds a section that is 1/4 of the length built by the other teams. How many meters did Team D build
Answer:
260 meters.
Step-by-step explanation:
It is given that construction crews A,B,C and D build a 1200 meter long road.
[tex]A+B+C+D=1200[/tex] ...(1)
Team A builds 1/2 of the total length built by the other 3 teams. So,
[tex]A:(B+C+D)=1:2[/tex]
It means total distance divided in 1:2.
[tex]A=1200\times \dfrac{1}{1+2}=1200\times \dfrac{1}{3}=400[/tex]
Similarly,
Team B builds 1/3 of the total length built by the other 3 teams.
[tex]B:(A+C+D)=1:3[/tex]
It means total distance divided in 1:3.
[tex]B=1200\times \dfrac{1}{4}=300[/tex]
C builds a section that is 1/4 of the length built by the other teams.
[tex]C:(A+B+D)=1:4[/tex]
It means total distance divided in 1:4.
[tex]C=1200\times \dfrac{1}{5}=240[/tex]
Now, put A=400, B=300 and C=240 in (1).
[tex]400+300+240+D=1200[/tex]
[tex]D=1200-940[/tex]
[tex]D=260[/tex]
Therefore, 260 meters build by D.
If } (x) = 8x and g(x) = 2x+1, find (fºg)(x).
Answer: 16x+8
Step-by-step explanation:
(fоg)(x) is f of g(x). This means you plug in g(x) into f(x). Since we are given f(x) and g(x), we can directly plug in g(x) into x.
(fоg)(x)=8(2x+1) [distribute 8]
(fоg)(x)=16x+8
Answer:
16x + 8 = (fºg)(x).
Step-by-step explanation:
If f(x) = 8x and g(x) = 2x+1, find (fºg)(x).
This is a composite function. To form it properly, substitute g(x) = 2x + 1 for x in f(x) = 8x. We get:
8(2x + 1)(x), or 16x + 8 = (fºg)(x).
What is the value of x?
6
7
8
9
FULL QUESTION:
Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. The length of A D is 5 x + 3 and the length of B C is 38.
What is the value of x?
6
7
8
9
ANSWER:
B.) 7
PLEASE HELP ME ASAP!!! I DON'T UNDERSTAND!!!
Answer:
42 cm ²
Step-by-step explanation:
multiply 5cm × 2cm ×3 cm =30cm²
multiply 4cm×3cm= 12cm²
Add together
12cm +30cm = 42cm²
The surface area should be 88 cm2
Hope this helps!
The height, h, in feet of a golf ball above the ground after being hit into the air is given by the equation, h = -16t 2 + 64t, where t is the number of seconds elapsed since the ball was hit. How many seconds does it take for the golf ball to hit the ground? It will take _____ seconds for the ball to hit the ground.
Answer:
4 seconds.
Step-by-step explanation:
The given equation is
[tex]h=-16t^2+64t[/tex]
where, h is height in feet of a golf ball above the ground after being hit into the air and t is the number of seconds elapsed since the ball was hit.
We need to find the time for the ball to hit the ground.
At ground level the height of ball is 0, i.e., h=0.
[tex]-16t^2+64t=0[/tex]
[tex]-16t(t-4)=0[/tex]
Using zero product property, we get
[tex]-16t=0\Rightarrow t=0[/tex]
[tex]t-4=0\Rightarrow t=4[/tex]
Therefore, it will take 4 seconds for the ball to hit the ground.
Answer:
4 seconds
That's your answer!!
What is the value of the expression
2 1/4 * (3/2 - 3/4) + (2/8 / 1/2)?
Answer: 35/16
Step-by-step explanation:
Which statement could the expression n+ 1 represent?
A.one point greater than the last test grade
B.the difference of Gina's score and one
C.the total cost less one dollar
D.One minute less than Mickey's previous time
Answer:
A. One point greater than the last test grade.
Step-by-step explanation:
One point greater than the last test grade can be written as an expression:
n + 1
The difference of Gina’s score and one can be written as an expression:
n - 1
The total cost less one dollar can be written as an expression:
n - 1
One minute less than Mickey’s previous time can be written as an expression:
n - 1
Answer:
A
Step-by-step explanation:
did the quiz
which equation represents the statement the "quantity eleven times y divided by the quantity three times x is fourteen"
Answer:
B
Step-by-step explanation:
quantity eleven times y = 11y.
quantity three times x = 3x.
the first one over the second one would be 11y/3x, and B is the answer that shows this.
Answer:
Option: B
Step-by-step explanation:
Well, first it says: quantity eleven times y, which means that one part has to say 11y.
Next, it says: divided by the quantity three times x is fourteen, which leads us to the equation: 11y/3x.
Now it says: is 14, which means equals fourteen:
11y/3x = 14
Thx for the question
PLz mark brainliest :)
Please Help? It is due in 5 mins anyone please?
360°/60 = 6
25 x 6 = 150°
18 x 6 = 108°
15 x 6 = 90°
2 x 6 = 12°
then draw a pi chart with these angles
hope this helps! please mark branliest?
Simplify y^-2/y^-7. Write your answer with a positive exponent only.
Answer:
y^5
Step-by-step explanation:
y^-2/y^-7
When we divide exponents with the same base, we subtract the exponents
y^ ( -2 - -7)
y^ ( -2+7)
y^ 5
Answer:
y^2
Step-by-step explanation:
One way of doing this problem is to multiply both numerator and denominator by y^7. Doing this we get:
y^(-2+7)
--------------- = y^2
y^(-7+7)
Determine the total number of roots for each polynomial function.
g(x) = 5x - 12/2 + 3
g(x) = (x - 5)^2 + 2x^3
At the root this function is equal to 0
(x - 5)^2 + 2x^3= 0
Rearrange:
(x - 5)^2 = -2x^3
Now if you plot these two functions you need to check how many times they intersect. For this you do not need to be precise just scetch approximately.
If you do that, you will see that they meet once. I cannot really use this site to plot, but you can use other tools for that if you do not know how to do it.
Which of the following is the correct scientific notation for 0.00566 meters?
A. 566 x 10-5 m
B. .566 x 10-3 m
C. 5.66 x 10-3 m
D. 5.66 x 103 m
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answer: 25% decrease
Step-by-step explanation:
We know that 28 dollars a share was at its 100 percent. So we can make the fraction 28/100. Equal this to 21/x.
so we have: 28/100 = 21/x
Now just cross-multiply and simplify.
And you get what x is.
You get x = 75. So to see how much it went down, we subtract 75 from 100.
If g(x)=2x-5 and f(x)=-x+3, which of the following represents f(g(x))?
Please show work tyyy
Brainliest award is given
Answer: f(g(x))=-2x+8
*Note: you did not provide answer choices, but this should be the answer.
Step-by-step explanation:
f(g(x)) means you plug in g(x) into f(x).
f(g(x))=-(2x-5)+3
f(g(x))=-2x+5+3
f(g(x))=-2x+8
Square root(x^2-4x+4)
Answer:
x-2
Step-by-step explanation:
x-2
by the rule (a-b)^2=a^2-2ab+b^2
Find the distance d(A,B) between points A and B
A(2.-6), B(2.1)
d(A,B) =
Answer:
d = 7
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x2 - x1)^2+(y2-y1)^2}[/tex]
Plug in our 2 coordinates:
[tex]d = \sqrt{(2-2)^2+(1+6)^2}[/tex]
And you should get 7 as your final answer.
Answer:
7 units
Step-by-step explanation:
Since the x coordinates are the same, we only have to look at the difference between the y coordinates to determine the distance
1 - -6 = distance
1+6 = 7
The distance is 7 units
Write a RECURSIVE and EXPLICIT model for the following geometric sequence. 2, 8, 32, 128, 512, ...
The recursive model is [tex]\begin{cases}a_1 = 2\\a_{n} = 4*a_{n-1}\end{cases}[/tex]
--------------
The explicit model is [tex]a_n = 2(4)^{n-1}[/tex]
============================================================
Explanation:
Finding the recursive model
The starting term of this geometric sequence is 2. We would write [tex]a_1 = 2[/tex]. The small subscript 1 indicates the term number, while 2 is the term itself.
The second term is [tex]a_2 = 8[/tex]
The third term is [tex]a_3 = 32[/tex]
and so on. Pick any term you want that isn't the first term. Divide that term you picked over its previous term. So say you picked the third term. Divide that over the second term to get
(third term)/(second term) = 32/8 = 4
or you could do fourth over third
(fourth term)/(third term) = 128/32 = 4
Each time you do this, you should get 4 as a result. This is the common ratio. We multiply each term by 4 to get the next term.
So the recursive step is [tex]a_{n} = 4*a_{n-1}[/tex] which says "the nth term [tex]a_n[/tex] is found by multiplying the prior term [tex]a_{n-1}[/tex] by 4". The entire "n-1" is a subscript to show it is the term just before the nth term.
Overall we have [tex]a_1 = 2[/tex] as the first term and the recursive rule [tex]a_n = 4*a_{n-1}[/tex] both of which combine to get the recursive model [tex]\begin{cases}a_1 = 2\\a_{n} = 4*a_{n-1}\end{cases}[/tex]
That just says "start at 2, multiply each term by 4 to get the next one"
----------------------------------------------------
Finding the explicit model
We have a = 2 as the first term and r = 4 as the common ratio. Plug those into the nth term of a geometric sequence formula as shown below
[tex]a_n = a*(r)^{n-1}\\\\a_n = 2(4)^{n-1}[/tex]
and that's all there is to it.
25. Simplify the following expression.
Question 25 please
I hope this helps you
Answer:
3 -√5
Step-by-step explanation:
(√5 + 1) / (2 + √5)
Multiply top and bottom of the fraction by the conjugate of 2 + √5 which is 2 - √5.
By doing this we rationalise the denominator:
= (√5 + 1 ) * ( 2 - √5) / (2 + √5)(2 - √5)
= (√5 + 1 ) * ( 2 - √5)/ (4 - 2√5 + 2√5 - 5)
= (2√5 - 5 + 2 - √5) / (4 - 5)
= (√5 - 3) / -1
= 3 -√5
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y-2x = -2
y- x = 1
A. More than 1 solution
B. x = 4, y = 3
C. No solution
O D. x = 3, y = 4
Answer:a x=3 y=-4
Step-by-step explanation:
The coefficients of the first four terms in the expansion of (a + b)^5 are a) 1, 3, 5, 7 b) 1, 4, 6, 4 c) 1, 2, 3, 4, 5 d) 1, 5, 10, 10
Answer:
the answer is D
Step-by-step explanation:
when expanded (a+b)^5 is a^5+5a^4 b+10a^3 b^2+10a^2 b^3+5ab^4+b^5
and as you can see the answer is 1 5 10 10 these are the first four coefficients
Answer:
Step-by-step explanation:
A
which order pair comes from the table?
Answer:
(6,5)
Step-by-step explanation:
The ordered pair is ( x,y)
The ordered pairs in the table are
(3,4) (4,4) (5,2) and (6,5)
if five times a number added to 4 is divided by the number plus 6 the result is nine halves, Find The Number
Answer:
8/13
Step-by-step explanation:
Let the number be x
if five times a number added to 4 is divided by the number plus 6 the result is nine halves
five times the number = 5xfive times a number added to 4 = 5x+4five times a number added to 4 is divided by the number = (5x+4)/x five times a number added to 4 is divided by the number plus 6 = (5x+4)/x + 6nive halves = 9*(1/2)five times a number added to 4 is divided by the number plus 6 the result is nine halves
(5x+4)/x + 6 = 9(1/2)
=>(5x+4)/x + 6 -6 = 9(1/2) -6 = 9/2-6 = (9-6*2)/2 = -3/2
=>(5x+4)= -3/2 *x= -3x/2
=>2(5x+4) = -3x
=> 10x +8 = -3x
=> 10x+3x = 8
=> 13x = 8
=> x = 8/13
Thus, the number is 8/13
Hey guys please help find the area
Answer:
70.15 ft²
Step-by-step explanation:
The figure consists of two adjacent equilateral triangles (all angles are 60 degrees and all outer edges are 9 ft).
If we focus on one of these equilateral triangles, we can get the final area by multiplying the area of that one triangle by 2.
The formula for the area of a triangle is (1/2)(base)(height). Remembering to multiply this by 2, we get
area of figure = (base)(height)
√3
= (9 ft)(9 ft)(--------) = (81 ft²)(1.732) = 70.15 ft²
2
Find the perimeter of the right triangle. If necessary, round to the nearest tenth.
A right triangle with side 13 inches, side 14 inches, and blank hypotenuse.
a.
91 in.
b.
46.1 in.
c.
19.1 in.
d.
182 in
Answer:19.1
Step-by-step explanation:
Answer:
B. 46.1 in
Step-by-step explanation:
First, we must find the hypotenuse of the triangle.
Since this is a right triangle, we can use Pythagorean Theorem.
a^2+b^2=c^2
where a and b are the legs and c is the hypotenuse.
13 and 14 are the legs, because they form the right angle. x is the hypotenuse because it is opposite the right angle.
13^2+14^2=x^2
Evaluate each exponent.
13^2=13*13=169
14^2=14*14=196
169+196=x^2
Add 169 and 96
365=x^2
Take the square root of both sides.
√365=√x^2
√365=x
19.1049732=x
Round to the nearest tenth.
19.1=x
The hypotenuse is 19.1 inches
Now, find the perimeter. Add up all the sides of the triangle: the legs (13 in and 14 in) and the hypotenuse (19.1 in)
13 in +14 in +19.1 in
46.1 in
The perimeter is 46.1 inches and B is correct.
Which system of equations is represented by the matrix below
Answer:
Option A.
Step-by-step explanation:
The given matrix is
[tex]\left[\left.\begin{matrix}4 & 5\\ 7 & -4\end{matrix}\right|\begin{matrix}-16\\ 23\end{matrix}\right][/tex]
We need to find the system of equations which is represented by the matrix.
In the given matrix first row represents the first equation and second row represents the second equation of the system of equations.
Let two variables are x and y.
First column represents the coefficients of x and second column represents the coefficients of y.
Numbers on the right side of the matrix represents the numbers which are right side of the equations.
Now, the required equations are
[tex]4x+5y=-16[/tex]
[tex]7x-4y=23[/tex]
Therefore, the correct option is A.
Select all that apply.
Describe the transformations.
(Look at image!)
The yellow circle was translated left 2 units and up 2 units.
The yellow circle was reflected over both axes.
The yellow circle was reflected over the y-axis and translated up 2 units.
The yellow circle was reflected over the x-axis and translated left 2 units.
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
Two circles (yellow and blue) with their centers as (1, -1) and (-1, 1) have been given in picture.
Now we will check each option for the transformations of these points.
Option (1)
The yellow circle was translated left by 2 units and up by 2 units.
Then rule for translation will be,
(x, y) → [(x - 2), (y + 2)]
Following this rule (1, -1) will become,
(1, -1) → [(1 - 2), (-1 + 2)]
→ (-1, 1)
But the center of blue circle after translation is (-1, 1),
Therefore, this option will be the answer.
Option (2)
The yellow circle was reflected over both axis.
If (1, -1) is reflected over x-axis,
Rule to be followed,
(x, y) → (x, -y)
Followed by reflection over the y-axis,
rule for the reflection,
(a, b) → (-a, b)
By this rule, (x, -y) will become,
(x, -y) → (-x, -y)
By these transformations (1, -1) will become
(1, -1) → ( -1, 1)
By these transformations image of yellow circle is the blue circle.
Option (2) is the answer.
Option (3)
The yellow circle was reflected over the y-axis and translated up by 2 units.
Rule for reflection over y-axis,
(x, y) → (-x, y)
followed by the translation 2 units up,
(-x, y) → (-x, y+2)
By these transformations,
(1, -1) → (-1, 1)
Therefore, option (3) is the correct option.
Option (4)
The yellow circle was reflected over the x-axis and translated left 2 units
Rule for reflection over x-axis,
(x, y) → (x, -y)
Followed up by the translation of 2 units left.
(x, -y) → (x - 2, -y)
By this rule point (1, -1) will become,
(1, -1) → [(1 - 2), -(-1)]
→ (-1, 1)
Which is the center of blue of circle.
Therefore, Option (4) will be the answer.
All given options are correct.
Answer:
All of the above
Step-by-step explanation:
I know my math straight and I have this answer