Answer to the problem: 189 beech trees
This week, Tori ate 600 g of cheerios cereal.
That was 150% as much cereal as she ate last
week. How much cereal did Tori eat last week?
600 g is 150% of what number?
Step-by-step explanation:
600=150%
?= 100%
crossmultiplication
=400
600g=150%x
600 is therefore 150% of 400
compare the graph of g(x)=6x−5 to the graph of f(x)=6x
a. g(x) shifted up 5 units
b. g(x) shifted down 5 units
c. g(x) is 6 units steeper
d. f(x) shifted down 5 units
Answer:
The answer is B choice.
Explanation:
Compare two graphs, the transformation of the graph is g(x) while f(x) is an original.
[tex]f(x) = 6x \\ g(x) = 6x -5[/tex]
For a linear function or line graph.
[tex]y = mx + b[/tex]
This means that the function y has the graph that shifts up b units.
[tex]y = mx - b[/tex]
While on the other hands, if the function y has -b as y-intercept. We can say that the function has the graph that shifts down b units.
Rather say that. If the constant term is positive, it shifts up and if the constant term is negative, it shifts down.
Back to the answer.
Comparing two graphs, from f(x) and g(x) —
We can say that function g shifts down 5 units from f(x) ^ Read the topic above before this ^
Thus, the answer is B.
A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t2 + 704t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit. (2 points)
H(t) = -16t^2 +704t = -16(t^2 -44t)
Putting in vertex form: -16(t^2 -44t +484) + 704
h(t) = -16(t-22)^2 + 704
It takes 22 seconds to reach the maximum height, which is the vertex of the parabola at (22,704)
please mark me as the BRAINLIEST.....
Answer:
22 secondsStep-by-step explanation:
Given function:
h(t) = -16t² + 704tMaximum value is obtained at vertex. Using vertex formula to find the value of t at maximum height: x = -b/2a of a quadratic formula ax² + bx + c
t = -704/(-16*2) = 22An Orchestra has twice as many woodwind instruments as brass instruments. There are a total of 150 brass and wood instruments.
How would I write and two different addition equations to describe this situation? Please help!
Answer:
Brass + Brass = Woodwind
Brass + Woodwind = 150
Brass = 50, Woodwind = 100
Step-by-step explanation:
Hi there!
The two addition equations would be:
Brass + Brass = Woodwind
(As there are twice as many woodwind as brass)
AND
Brass + Woodwind = 150
(As there are 150 of those instruments in total)
These two equations fully describe this situation, and you can use them to solve the problem using substitution as well.
Since Woodwind = Brass + Brass, then:
Brass + Woodwind =150
Can also be written as:
Brass + (Brass+Brass) = 150
Now we can solve by combining all the like terms which gives us:
3*Brass = 150
Brass = 150/3
Brass = 50 meaning that Woodwind = 100, as 50+50=100.
Hope this helped!
Please help, will reward brainliest !! (would help if someone can explain aswell)
Answer:
I think b or d
Step-by-step explanation:
Sorry if it's wrong but i think it's one of those two
Answer:
im not sure if i did this right but i got the answer of B if it is wrong i am so sorry :( i really hope i did not fail you
Step-by-step explanation:
Find the slope and
y-intercept of the following then write it in slope intercept form.
slope is 4,
y-intercept is -6
Thank you!
The perimeter of a rectangular garden is 46 feet. The length of the garden is 5 feet less than three times the width. Find the area of the garden. The area of the garden is square feet.
Answer:
A = 112 square feet
Step-by-step explanation:
The perimeter of a rectangular garden is 46 feet.
P = 2(l+b)
46=2(l+b)
23 = (l+b) ....(1)
Let length is l and breadth is b.
The length of the garden is 5 feet less than three times the width.
l = 3b-5 ...(2)
Put equation (2) in equation (1)
23 = (3b-5+b)
23 = 4b - 5
28 = 4b
b = 7 feet
Pu b = 7 in equation (2)
l = 3(7)-5
l = 16feet
Area of a rectangle is given by :
A = lb
A = 16 × 7
= 112 ft²
So, the area of the garden is 112 square feet.
change from word to standard form sixty-seven and five hundred thirteen thousandths
solve the following quadratic equation by using formula method.√2x² + 4x + 2√2 = 0
Answer:
(3+2)+(4+2)
Step-by-step explanation:
234
The range of the function
Answer:
Range: {-4, 3, 5}
Step-by-step explanation:
The range of a function includes all the set of possible output, or y-values in a given data set of a function.
Thus, the range of the function, {(2, 3), (-3, 5), (6, -4)} includes 3, 5, and -4.
This can be written as:
Range: {-4, 3, 5}
In the accompanying diagram. altitude CD is
drawn to the hypotenuse of right triangle ABC. If
AD = 9 and AB = 13. find CD.
B
1
Someone please help me
Answer: √117
Step-by-step explanation:
Since no diagram present, am assuming hypotenuse AB and right angle C. Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.
a^2 + b^2 = 22^2 (Pythagorean)
Using Pythag on two smaller triangles,
x^2 + 13^2 = a^2
x^2 + 9^2 = b^2
Substituting in first equation,
x^2 + 13^2 + x^2 + 9^2 = 22^2
x^2 = 117, so x = √117
The temperature dropped 3 °F every hour for6 hours. How much did the temperature drop in all?
Answer:
18 degrees
Step-by-step explanation:
it drops 3 degrees every hour for 6 hours, then the equation would be 3 times 6 and that is 18, PLEASE MARK BRAINLIEST
Light shines through window what is the area of a trapezoid shaped region created by the light
Answer:
16 ft²
Step-by-step explanation:
The complete question is attached.
A trapezoid is a quadrilateral (has four sides) with one a parallel base. The base angles and the diagonals of an isosceles trapezoid are equal.
The area of a trapezoid = [(sum of the parallel bases) / 2] * height of the trapezoid.
Given that the parallel bases are 3 ft and 5 ft, while the height of the trapezoid is 4 ft. Hence:
The area of a trapezoid = [(3 + 5)/2] * 4
The area of a trapezoid = 16 ft²
Answer:
Step-by-step explanation:
16
I need help with 3x-2y=24
Answer:
y= 3/2x -12
Step-by-step explanation:
subract x then u got -2y=-3x+24
divide everythang by -2
then u got y=3/2x -12
What is the area of rectangle VWXY?
Answer:
The area of the rectangle VWXY is 52 square units
Step-by-step explanation:
The formula of the area of the rectangle is A = L × W, where
L is the length of the rectangleW is the width of the rectangleIf a line segment has endpoints (x1, y) and (x2, y), then the line segment is horizontal and its length = x2 - x1If a line segment has endpoints (x, y1) and (x, y2), then the line segment is vertical and its length = y2 - y1From the given figure
∵ VWXY is a rectangle
∵ V = (3, -9) and W = (-1, -9)
∵ X = (-1, 4) and Y = (3, 4)
∵ Its length is WX or VY
∴ WX = VY
∵ Its width is VW or XY
∴ VW = XY
→ Let us find its length and its width
∵ Points W and X have the same x-coordinates
∴ y1 = -9 and y2 = 4
→ By using the 4th note above
∴ WX = 4 - -9 = 4 + 9 = 13
∴ L = 13 units
∵ Points X and Y have the same y-coordinates
∴ x1 = -1 and x2 = 3
→ By using the 3rd note above
∴ XY = 3 - -1 = 3 + 1 = 4
∴ W = 4 units
→ By using the formula of the area above
∵ A = 13 × 4
∴ A = 52 square units
∴ The area of the rectangle VWXY is 52 square units
Answer:
72
Step-by-step explanation:
At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seated at a smaller table. There were 37 guests in all. If n represents the number of guests seated at each of the large tables, what equation represents the situation?
Answer:
10 guests a table
Step-by-step explanation:
3 tables
7 late arrivals
37 total people
37 minus 7 is 30
30 divided by 3 is 10
answer is 10
30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?
Step-by-step explanation:
(30 men, 56 days, 6 hours daily)
=> (30 men, 48 days, 7 hours daily)
=> (45 men, 32 days, 7 hours daily)
Hence it will take 32 days.
decrease 99kg by 5/11
Answer:
54
Step-by-step explanation:
First calculate 5/11 of 99
99 / 11 * 5 = 45
Then subtract your answer from 99
99 - 45 = 54
Helpppppppppppp meeeeeee
Answer:
7
Step-by-step explanation:
6x + 15 = 9x
Pls help me get the answer for x
Answer:
Step-by-step explanation:
X=5
BRAINIST & 20 POINTS!!!!!
Answer:
given
x=
Step-by-step explanation:
2x-3y=24
2×(-3)-3×(-7)
-6-21
27
Answer:ty
Step-by-step explanation:
Question: In history the Mongols are remembered as "savage ruthless barbarians." Is this representation accurate? Using the terms stereotype, xenophobia, or prejudice explain why this representation is or is not accurate. Write your response in a claim, evidence, reasoning paragraph with a focus on your concluding sentence. See rubric below for more details.
Answer:
Despite the stereotype of the Mongols, yes they were "savage ruthless barbarians."
Step-by-step explanation:
You need to write the rest yourself.
Which relation is not a function?
Hurry quick I’ll mark brainlyest now hurry
Answer:
B because the x value repeats
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
beacuse the 7 is on y and it changes whitch cant work
I need help but uh yeah.
Answer:
2- the ratio would be 5:20
3- the ratio would be 6:2
4- the ratio would be 20:7
Step-by-step explanation:
hope this helps! have a great day/night :)
Answer:
5:20
6:2
20:7
Step-by-step explanation:
Given 4x + y = 180, if y is 20 what is x?
Answer:
40
Step-by-step explanation:
Insert the number
4x + 20 = 180
Get the variable by its self
4x + 20 = 180
-20 -20
4x = 160
/4 /4
x = 40
if you want you can insert it into the problem to check
Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?
Answer:
60 hours
Step-by-step explanation:
We are given;
Initial amount: A_o = 64 mg
Half life; T_½ = 15 hours
Amount left: A = 4 mg
To get the time that 4 mg of Sodium-24 remain, we will use the formula;
A = A_o(½^(t/T_½))
Where t is the time that 4 mg of Sodium-24 remain.
Thus;
4 = 64 × ½^(t/15)
Divide both sides by 64 to get;
4/64 = 2^(t/15)
0.0625 = ½^(t/15)
In 0.0625 = (t/15) In 0.5
-2.7726 = (t/15) × -0.6931
t = (-2.7726 × 15)/-0.6931
t = 60 hours
Diego is attending UTEP and has completed some courses worth 3 credits and some courses worth 4 credits. He has earned a total of 59 credits after completing 18 courses.
How many courses worth 4 credits has Diego completed?
Answer:
5
Step-by-step explanation:
5 courses worth 4 credits have Diego completed. Therefore, option B is the correct answer.
We need to find how many courses worth 4 credits has Diego completed.
What are systems of equations?In mathematics, a system of equations, also known as a set of simultaneous or an equation system, is a finite set of equations for which we sought common solutions. A system of equations can be classified in a similar manner as single equations.
Now, let the courses worth 3 credits be x and the courses worth 4 credits be y.
Now, in total Diego completed 18 courses
That is, x+y=18 ------(I)
Diego has earned a total of 59 credits
So, 3x+4y=59 ------(II)
Multiply the equation (I) by 3, that is 3x+3y=54 ------(III)
Now, subtract the equation (III) from (II) and simplify.
That is, 3x+4y-(3x+3y)=59-54
⇒y=5
Substitute y=5 in the equation (I) and simplify
That is, x=13
Therefore, 5 courses worth 4 credits have Diego completed.
To learn more about the system of equations visit:
https://brainly.com/question/21620502.
#SPJ6
Find the slope of the line passing through the points (9,5) and (9,-4).
Answer:
Step-by-step explanation:
Equation in which to find the slope:
(slope) [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (9 , -4)\\(x_2 , y_2) = (9 , 5)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{5 - (-4)}{9 - 9}[/tex]
Simplify. First solve the numerator and denominators, then divide:
[tex]m = \frac{5 - (-4)}{ 9 - 9} \\m = \frac{5 + 4}{9 - 9} \\m = \frac{9}{0}[/tex]
Because a fraction cannot be out of 0, your answer will be .
Diego and Lin are drinking milkshakes. Lin starts with 12 ounces and drinks 1 ounce per second. Diego starts with 20 ounces and drinks 2 ounces per second.
Question 1 (1 point)
How long will it take Lin and Diego to finish their milkshakes?
Answer: Lin will take 12 seconds, while Diego will take 10 seconds.
Step-by-step explanation;
Lin starts with 12 ounces and drinks one ounce per second, it will take him 12 seconds to finish the drink. Diego starts with 20 ounces and drinks two per second, so it will 10 seconds to finish the drink.
Jonathan is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months. Write an equation for C,C, in terms of t,t, representing the total cost of the gym membership over tt months.
Answer:
C(t) = 25+34.37t
Step-by-step explanation:
It is given that,
The monthly fee to be a member is $25 and the total cost of membership, including the joining fee, would be $300 for 8 months.
We need to write an equation for C in terms of t representing the total cost of the gym membership over t months.
At t=0, Jonathan pays $25 as joining fee.
Equation will be :
C(t) = Co+kt
Initially, Co = 25
C(t) = 25
At t = 8,
C(8) = 25 + k(8) = 300
8k = 275
k = 34.37
⇒ C(t) = 25+34.37t
Hence, this is the required equation.