Answer:
A and B
Step-by-step explanation:
Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21
When simplifying an algebraic expression, the following steps are needed to be taken.
Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.
Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.
A) 126/2
Applying the division rule give:
126/2 = 63
B) 23 × 3
Applying multiplication rule gives:
23 × 3 = 69
C) 3 × 21
Applying multiplication rule gives:
3 × 21 = 63
Both the results of expression A and expression B are simplified to the same result
Cam bounces a ball 2.528 feet in front of his feet. The path of the ball from the time it hits the ground until it lands on the floor is represented by
f(x)= -(x-7)^2+20
Assuming that Cam's feet located at the origin, (0,0), what is the maximum height of the ball in (feet)?
Answer:
20 feet
Step-by-step explanation:
Since the term -(x-7)^2 is negative, the largest height that the ball can reach is when this term is 0. 0+20=20, meaning that the highest the ball can go is 20 feet. Hope this helps!
Answer: 20 feet
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k
where (h, k) is the vertex
h is the axis of symmetry (time at which maximum height is reached)
k is the maximum height
Given: y = -(x - 7)² + 20
--> h = 7, k = 20
therefore, the maximum height of the ball is 20
PLEASE HELPP ME FAST!!!!! solve for x. Show your work -1/2x < -12
Answer:
-1/2x<-12
Multiply through by 2
-x < -24
Multiply through by -1
x > 24
Hope this helps.
how do I solve: 8 – (m - 3) = 7 – 3m
Answer:
m=-2
Step-by-step explanation:
8-(m-3)=7-3m
8-1(m)-1(-3)=7-3m
8-m+3=7-3m
-m+3m+8+3=7-3m+3m
2m+8+3=7
2m+11=7
2m=-4
m=-2
Hope this helps!
Step-by-step explanation:
So, this is how you do it.
Find the sum of (1-1/n) + (1-2/n) + (1 - 3/n)....upto n terms
Answer:
(n - 1)/2
Step-by-step explanation:
F = (1 - 1/n) + (1 - 2/n) + (1 - 3/n) + ...(1 - n/n)
= (1 + 1 ... + 1) - (1/n + 2/n + 3/n + ...n/n)
(there are n terms of 1)
= n - (1 + 2 + 3 + ... + n)/n
= n - [n x (n + 1)/2]/n
= n - [n x (n + 1)]/[2 x n]
= n - (n+1)/2
= (2n - n - 1)/2
= (n - 1)/2
Hope this helps!
Solve the following quadratic equation.
(x - 16)^2 = 256
A. x = -32 and x = 0
B. x = 30 and x = -4
C. x = -30 and x = 4
D. x = 32 and x = 0
The answer is D. x = 32 and x = 0
============================================================
Explanation:
Think of x-16 as y. In other words, let y = x-16
We have (x-16)^2 = 256 become y^2 = 256.
Solve for y to get y = 16 or y = -16. You apply the square root to both sides. Don't forget about the plus/minus. This is because (-16)^2 = (-16)*(-16) = 256. We square the negative as well.
--------
If y = 16, then y = x-16 solves for x to get
y = x-16
16 = x-16
x-16 = 16
x = 16+16
x = 32 is one solution
---------
Plug in y = -16 and isolate x
y = x-16
x-16 = y
x-16 = -16
x = -16+16
x = 0 is the other solution
----------
We can check each answer by plugging them back into the original equation
Let's try x = 0
(x-16)^2 = 256
(0-16)^2 = 256
(-16)^2 = 256
256 = 256 ... works
Now try x = 32
(x-16)^2 = 256
(32-16)^2 = 256
(16)^2 = 256
256 = 256 ... also works; both answers have been confirmed
Solve 4x -1 = 3x – 5 pls answer
Answer:
[tex]\fbox{\begin{minipage}{4em}x = -4\end{minipage}}[/tex]
Step-by-step explanation:
Given:
Equation: [tex]4x - 1 = 3x - 5[/tex]
Solve for:
[tex]x[/tex]
Solution:
Step 1: Select relevant approach:
Let's move all the components containing x to the left side and other components to the right side (notice the change of sign of each one from positive to negative and negative to positive), then solve for [tex]x[/tex]
Step 2: Perform the calculation:
[tex]4x - 1 = 3x - 5[/tex]
Moving components:
<=> [tex]4x - 3x = 1 - 5[/tex]
Performing simplification to get [tex]x[/tex]
<=>[tex]x = -4[/tex]
Hope this helps!
:)
One cubic centimeter of sand weighs 1.9 grams. Find the amount of sand that the sandcastle bucket can hold.
Answer:
2160
Step-by-step explanation:
1872(volume of the cube)+288(volume of the square pyramid)=
2160
v of cube= lwh
v of square pyramid= a² times h/3
please mark brainliest!
A certain virus is dying off at a rate of 18% per hour. Initially there were
40,000 grams of the strain. If this continues at this rate, how much of the
strain would still be alive after 48 hours? (Round your answer to the
nearest whole number.) *
Answer:
3 strain would still alive after 48 hours
Step-by-step explanation:
Initial population of virus = 40000 grams
A certain virus is dying off at a rate of 18% per hour.
We are supposed to find how much of the strain would still be alive after 48 hours
Formula : [tex]N(t)=N_0(1-r)^t[/tex]
[tex]N_0[/tex]=Initial population
N(t)= Population after t hours
r = rate of decrease = 18% = 0.18
t = time = 48 hours
So,the strain would still be alive after 48 hours=[tex]40000(1-0.18)^{48}=2.91 \sim 3[/tex]
Hence 3 strain would still alive after 48 hours
A chocolate brownie recipe is as follows 200g chocolate ,4eggs 60g flour, 60g cocoa, 100g butter, 250g sugar trhe recipe make 24 brownies sarah is making 96 brownies for the village faire how much cocoa does she need
Answer:
240g of cocoa
Step-by-step explanation:
96/24 = 4 times as many brownies, 4 times as many ingredients needed. To find the amount of cocoa, multiply the original amount by four to get 60g × 4 = 240g.
I need help please :((
Answer:
Function, passes the vertical line test
Step-by-step explanation:
The graph is a function. The points have a one to one correspondences as demonstrated by the vertical line test. Since only one point on the graph is touching a vertical line at a time, it will pass the vertical line test
what is the output value for the following function if the input value is 1?
y=3x + 1
Answer:
The output value is 4
Step-by-step explanation:
The output value is the y value, so y=3(1)+1
y=3+1
y=4
ASAP PLS! WILL MARK BRAINLYEST AND 6TH GRADE MATH
Answer:
The correct answer is B!
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
Given right triangle ABC . To the nearest degree, find the measure of angle B. 20° 43° 47° 70°
Answer:
The answer is "70°"
Step-by-step explanation:
In the given question an attachment file is missing. so, the attachment file and its solution can be defined as follows:
Given:
ABC is the right triangle.
Find B=?
Solution:
[tex]\Rightarrow \sin \theta= \frac{p}{h}\\\\[/tex]
[tex]\Rightarrow \sin B^{\circ}=\frac{AB}{AC}= \frac{4.8}{5.1}\\\\[/tex]
[tex]\Rightarrow \sin B^{\circ}= .941[/tex]
[tex]\Rightarrow B^{\circ}= \sin^{-1} (0.941)\\\\\bold{\sin^{-1} (0.941) = 70.2^{\circ}}\\\\\therefore \ \ \ \ \bold{B^{\circ} = 70^{\circ}}[/tex]
Answer:
70
Step-by-step explanation:
The product of Chau's height and 5 is 70.
Answer: 14
Step-by-step explanation: chau's height = x
x * 5 =70
5x = 70
x = 70/5
x = 14
This is a continuous set of points in the coordinate plane. It can be, but is not always, straight.
Answer:
Linear. While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).
What is the best approximate of the square root of 50
Answer:7
Step-by-step explanation:
7^2 = 49 (or square root of 49 is 7)
8^2 = 64 (or square root of 64 is 8)
WILL GIVE BRAINLIEST
Answer:
3
Step-by-step explanation:
These are similar triangle
We can use ratios to solve
12 12+4
------ = ----------
9 9+DC
Using cross products
12( 9+DC) = 9*(12+4)
12 (9+DC) = 9*16
Divide each side by 12
12/12 (9+DC) = 9*16/12
9+DC = 12
Subtract 9 from each side
9+DC-9 =12-9
DC =3
Answer:
3 units
Step-by-step explanation:
We can see that triangle ADE is similar to triangle ACB.
Therefore the ratios of the lengths of their sides must be equal.
We can write AD/AC = AE/AB
we are given AD = 9, AE = 12 and AB = 12 + 4 = 16
Substituting the above values into the equation:
AD/AC = AE/AB
9 / AC = 12/16 (rearranging)
(AC)(12) = (9)(16)
AC = (9)(16)/12
AC = 12
We can also see that
DC = AC - AD
DC = 12 - 9
DC = 3 units
Find the volume of the prism
pls!! show how you got the volume
Answer:
Step-by-step explanation:
The way you can solve this is by splitting the cube into two parts.
Split the top cube apart from the bottom cube and then find the volume of each and add them together.
The first cube on top would be 80x90x75= 540000 centimeters
The second cube would be 270x75x80=1620000 centimeters
540000+1620000=2160000 centimeters
Hope this help!
Comment if you would like a visual drawing of the math!!
(Also the answer can be written as 21600 meters)
9y + 6 + 2(5 + y) = blank y + blank
Answer:
11y+16Solution,
[tex]9y + 6 + 2(5 + y) \\ = 9y + 6 + 10 + 2y \\ combine \: like \: terms \\ = 9y + 2y + 6 + 10 \\ simplify \\ = 11y + 16[/tex]
hope this helps...
Good luck on your assignment..
Answer:
11y+16
Step-by-step explanation:
9y+6+2(5+y)=
9y+6+10+2y=
Combine like terms
11y+6+10=
11y+16
Determine the smallest integer that makes -3x + 7 - 5x < 15 true.
State the smallest possible value for x in the solution set below as a number only.
Answer:
-1
Step-by-step explanation:
write it in the following manner:
-3x + 7 - 5x = 15
-8x + 7 = 15
-8x = 8
x = -1
Thus, the number has to be smaller than -1.
The smallest integer that makes the given inequality true is 0.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given inequality,
-3x + 7 - 5x < 15
We have to find the value of x.
(-3x - 5x) + 7 < 15
-8x < 8
Dividing whole sides by -1, the inequality sign changes.
x > -1
Smallest possible value is 0.
Hence the smallest posible value is 0.
Learn more about Inequalities here :
https://brainly.com/question/26855203
#SPJ2
One ounce of cheddar cheese contains 9 grams of fat. Six of the grams of fat are saturated fats. Find the ratio of saturated fats to total fat in an ounce of cheese.
Group of answer choices
6:9
2:3
3:2
9:6
Answer: 6:9
Just divide saturatedfats/TotalFats=6/9
Step-by-step explanation:
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi?
gohead ask a teacher or another site
I need the same question to
Anna bought a backpack for $36.
She also bought a lunch box for $15.
Which is the total amount of money Anna spent?
Answer:
Anna spent $51 in all.
Step-by-step explanation:
36+15=51
Answer:
$51
Step-by-step explanation:
Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.
price of backpack+price of lunchbox
The backpack cost $36 and the lunchbox cost $15
$36+$15
Add 36 and 14
$51
Anna spent $51 in total
Kimmy walks to school each day. She uses a map that is drawn on a standard (x,y) coordinate plane to see how far she walks. On the map, one coordinate unit represents 100 feet. Her house is located at (8, 4) and the school entrance is located at (-4, -2). Each day, she walks directly from her house to the school entrance. To the nearest foot, what is the distance Kimmy walks to school each day?
Answer:
1342 feet
Step-by-step explanation:
Kimmy's house is located at (8, 4)
The school entrance is located at (-4, -2).
To find the distance Kimmy walks to school every day, we use the Distance formula:
[tex]\text{Distance =}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where [tex](x_1,y_1)=(8, 4),$ and (x_2,y_2)=(-4, -2).[/tex]
[tex]\text{Distance=}\sqrt{(-4-8)^2+(-2-4)^2}\\=\sqrt{(-12)^2+(-6)^2}\\=\sqrt{144+36}\\=\sqrt{180} \\=13.42$ Units\\Since 1 coordinate unit represents 100 feet.\\\\Distance walked by Kimmy to school every day\\=13.42*100 feet\\=1342 feet (to the nearest foot)[/tex]
(15 POINTS AND BRAINLIEST)
A health club has a one time membership fee of $99, then charges $15 per month for members.
a) Write an equation in slope-intercept form for the cost y of joining the club
for x months.
b) How much has Muscular Marty paid if he has been a member for one year?
Answer:
a) The line will be y = 15x + 99 because the 99 is a one time purchase.
b) After 1 year, x will be 12 so Muscular Marty will pay 15 * 12 + 99 = $279.
Answer:
a) y = 99 + 15x
b) 279
Step-by-step explanation:
b) 1 yr = 12 months
thus x is 12
y = 99 + 15(12) = 99 + 180 = 279
If the 6th terre
an Alis 11 and the first term is 1
find the common difference
Answer:
6th term = 11
1st term = 1
d = 11 - 1/5 = 2
PLSS HELP ME FIND THE SURFACE AREA OF THE TRIANGULAR PRISM
THXXSSSS AND HURRY PLS
Answer:
108m^2
Step-by-step explanation:
surface area of any shape: sum of the area of its sides.
area of cross section x 2 = 4 x 3 12 m^2
area of slope: 5m x 8m = 40m^2
area of base: 8 X 3 = 24 m^2
area of back: 8m x 4m = 32m^2
sum = surface area = 108m^2
Please mark brainiest
Are the ratios 5:15 and 1:3 equivalent
Answer:
Yes, both are one third of the other number
Step-by-step explanation:
Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.
// have a great day //
wegnerkolmp2741o plz help me only wegnerkolmp2741o
Answer:
1. Triangular prism
5 faces6 vertices9 edges2. Trapezoidal prism
6 faces8 vertices12 edges3. Pentagonal prism
7 faces10 vertices15 edges4. Hexagonal prism
8 faces12 vertices18 edgesSimplify (x-5)-(x-1)
Answer:
-4
Step-by-step explanation:
→Distribute the -1 to (x - 1):
(x - 5) - (x - 1)
x - 5 - x + 1
→Add like terms (x and -x, -5 and 1):
-4
Answer:
-4
Step-by-step explanation:
(x-5)-(x-1)
x-5-x+1
x-x-5+1 = -4
