Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale. If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all? Which numerical expression can you write to find the number of scoops? Ginger will use scoops in all.
Given :
Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.
To Find :
If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.
Solution :
Let, Ginger makes x pitchers of power smoothies :
[tex]Total \ scoops = 2x+4x+x+x+6x[/tex]
Now, it is given that Ginger makes 6 pitchers of power smoothies.
Total scoops are :
[tex]T=2(6)+4(6)+6+6+6(6)\\\\T=84\ scoops[/tex]
Therefore, number of scoops Ginger used is 84.
Hence, this is the required solution.
A bus makes a stop at 2:30, letting off 11 people and letting on 8. The bus makes another stop ten minutes later to let off 5 more people. How does the number of people on the bus after the second stop compare to the numbers of the people on the bus before the 2:30 stop ?
Answer:
The actual number of passengers on the bus falling by 8 after the second stop
Step-by-step explanation:
Assume that the total passengers on the bus before 2:30 was x
At 2:30:
11 passengers got off and 8 got on.
So, the number of passengers
= x - 11 + 8
= x - 3
10 minutes later:
5 passengers got off the bus
So, the number of passengers
number of passengers = (x - 3) - 5
number of passengers = x - 8
now by comparing,
The actual number of passengers on the bus falling by 8 after the second stop
Select the correct answer.
In which direction must the graph of fx) = x be shifted to produce the graph of g(x) = x-6?
OA.
down
OB.
up
OC.
neither up nor down
OD
up and down
Answer:
it moves down
Step-by-step explanation:
for the graph originally f(x)=x and subtract 6 from it, it will move 6 units down, and to find the new coordinate you subtract 6 in y so (x , y-6)→for the new coordinate.
NOTE: if the graph added to 6 it will move up 6 units.
Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours. How much faster does Kendra drive on average?
Answer:
5mph faster
Step-by-step explanation:
Kayla is going 48 mph because 144/3 is 48
Kendra is going 53mph because 224/4 is 53
53-48=5
8 miles/hour Kendra drives faster than Kayla.
Given that, Kayla drives 144 miles in 3 hours. Kendra drives 224 miles in 4 hours.
We need to find out how much faster Kendra drive on average.
How to calculate the speed?The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.
Now, the speed of Kayla=144/3 = 48 miles/hour
The speed of Kendra=224/4 = 56 miles/hour
So, the difference in speed between Kendra and Kayla=56-48=8 miles/hour.
Therefore, 8 miles/hour Kendra drives faster than Kayla.
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3. Samuel tiene 11 cajas con mosaicos cuadrados de 20 cm por
lado y quiere cubrir una pared que mide 3 m de largo y 2 m
de alto. Si en cada caja hay 14 mosaicos, éserá necesario que
compre más cajas?
Matemáticas
Answer:
Primero veamos el área de la pared, es decir, el área total que Samuel debe cubrir.
La pared es de 3m por 2m.
Entonces el area es:
A = 3m*¨2m = 6m^2.
Ahora veamos los mosaicos.
Cada mosaico es un cuadrado de 20cm por 20cm.
El primer paso sería cambiar las unidades para tener metros aca también.
1cm = 0.01m
entonces.
20cm = 20*0.01m = 0.2m.
Entonces cada mosaico es:
0.2m por 0.2m
El área de cada mosaico es:
a = 0.2m*0.2m = 0.04m^2.
En una caja de mosaicos hay 14 mosaicos, entonces con una caja Samuel puede cubrir 14 veces a, o:
14*0.04m^2 = 0.56m^2.
Y Samuel tiene 11 cajas, entonces tenemos 11 veces lo de arriba:
11*0.56m^2 = 6.16m^2.
Y el área de la pared es 6m^2.
6.16m^2 > 6m^2
Entonces con las 11 cajas de mosaicos podemos cubrir completamente esa pared, y vamos a tener algunos mosaicos sobrantes.
Entonces Samuel no debe comprar mas cajas.
Is this a function or Not function? How do you know?
Answer:
No
Step-by-step explanation: because multiple points have the same x value and it fail the vertical line test
WILL MARK BRAINLIEST
What is the range of the function f(x)=1/3x+1, when the domain is {-1,1,4}
a {0, 2, 4}
b {-1, 1, 3}
c {2/3, 4/3, 2}
d {-2/3, 5/3, 4}
Answer:
D.
Step-by-step explanation:
SORRY IF THIS IS WRONG IM NOT GOOD IN MATH BUT I TRY
An art museum had 275,760 visitors last year. The museum was open every day of the year except for 5 holidays. How many visitors did the museum have each day, on average?
Answer:766 people on average because 275,760 divided 360 because 365=1 year 365-5=360 and 275760/360=766
Step-by-step explanation:
A blouse that is size x in country A is size s(x) in country B, where s(x)x. A blouse that is size x in the country B is size t(x) in country C, where t(x)x. Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
Answer:
f(x) = [k(x): x = s(x) = t(x)]
Step-by-step explanation:
To make the question clearer, rewrite;
A blouse that is size x in country A is size s(x) in country B.
s(x) = x
A blouse that is size x in country B is size t(x) in country C.
t(x) = x
Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.
f(x) = [k(x): x = s(x) = t(x)]
Interpretation:
f of x is equal to k of x such that x is equal to s of x which is also equal to t of x.
Where the other blouse sizes are represented by k(x) or as a function of the given size x.
Please help!! Will Mark brainliest!!
A baseball player starts the season with 77 career home runs. Ten games into the
season, he has hit 2 home runs. Assume he continues at this pace. Write an
equation for the number of career home runs he has hit. How many career home
runs would you expect him to have at the end of the season (162 games)?
If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.
162 / 10 is approximately 16.
16 × 2 = 32
32 + 77 = 109 career home runs
Using the slope intercept relation, the required equation and the number of home runs at season end would be ;
y = 0.2x + 77109Recall :
y = bx + cc = initial number of hime runs = 77b = slope y = total career home runs x = number of games playedSlope, b = 2 home runs per 10 games = 2/10 = 0.2
The expression can be represented thus:
y = 0.2x + 77Number of home runs at the end of the season :
x = 162
y = 0.2(162) + 77
y = 32.4 + 77
y = 109.4
y = 109
Hence, Total number of hime runs would be 109.
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Which of the following lines is parallel to x = 4? (2 points)
A.3y = 9
B.y = 4
C.X = 2
D.x=y
Answer:
x = 2
Step-by-step explanation:
x = 4 is the equation of a vertical line parallel to the y- axis
A line parallel to it must also be a vertical line with equation
x = c ( c is a constant )
The only equation of this form is
x = 2 ← parallel to x = 4
How do you calculate (2x-5)^2
What is the value of a such that the point (a, 4) is part of the solution set for the equation 4x + 2y
36?
-8
-2
7
10
Answer:
7
Step-by-step explanation:
Given expression:
4x + 2y = 36
coordinates = (a,4)
Solution:
From the given coordinates;
x = a
y = 4
4x + 2y = 36
Substitute for the values and find "a"
4a + 2(4) = 36
4a + 8 = 36
4a = 36 - 8
4a = 28
a = 7
The solution is 7
Please help! I'll mark brainliest
7^(? )x (7^(5))^(4 )= 7^(34 ) find the missing exponent
n = 14
Step-by-step explanation:Hi there !
7ⁿₓ7⁵⁾⁴ = 7³⁴
7ⁿₓ7⁵ˣ⁴ = 7³⁴
7ⁿₓ7²⁰ = 7³⁴
n + 20 = 34
n = 34 -20
n = 14
Good luck !
Answer:
n = 14
Step-by-step explanation:
· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?
Answer:
$4,504.69
Step-by-step explanation:
Solve the inequality:
u^2 > 8u + 33
Answer:
u<−3 or u>11
Step-by-step explanation:
u2=8u+33
u2−(8u+33)=8u+33−(8u+33)(Subtract 8u+33 from both sides)
u2−8u−33=0
(u+3)(u−11)=0(Factor left side of equation)
u+3=0 or u−11=0(Set factors equal to 0)
u=−3 or u=11
Does this table represent a linear function? Why or why not?
x y
2 5
4 8
6 12
8 17
10 23
Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the total saved amount of all threw
Tell whether the ratios form proportions
4:20 and 6:30
9/18,3/8
9514 1404 393
Answer:
yesnoStep-by-step explanation:
1) Each of the ratios can be reduced to 1 : 5, Since both can be reduced to the same ratio, the do form a proportion.
4 : 20 = 1 : 5
6 : 30 = 1 : 5
__
2) The first ratio can be reduced to 1/2. The second ratio is not 1/2 and cannot be reduced. Since they are different ratios, they do not form a proportion.
9/18 = 1/2
3/8 = 3/8
CAN SOMEONE HELP ME PLEASE ?!
Answer:
A. XY
Step-by-step explanation:
The answer is XY because it is the same length as XZ. I didn't determine this by guessing, but by eliminating the wrong answer choices. The tick marks indicate what lines are congruent to each other. The answer can't be C because AY is congruent to YC since they both have 3 tick marks, indicating that they are congruent to each other. Same goes for the others.
does anybody know how to solve this10+|7-5x|= 11
Answer:
-6/5
Step-by-step explanation:
The first thing that you will do is to remove the absolute value bars. So, it will look like this: 10+7+5x=11
Then, you will combine like terms. So, this is how it will look: 17+5x=11
Next, you will subtract 17 from both sides since it is a positive number, (use the subtraction property of equality) and it will look like: 17-17+5x=11-17
Then you get: 5x=-6
So, from there, you must divide. (use the division property of equality) 5x/5=-6/5
So, your answer is -6/5
A teacher uses the function G(x) = -3x + 100 to calculate a student's grade, G(x), on a test if the student misses x questions on the test. Which statement best descebes the slope of the function? Show complete working format please
Answer:
then it would 50 no? i first divided 100 from x and game me 100x and then since i knew that 2 plus 3 is 5 and if i add a 0 then it would make 50
Step-by-step explanation:
2. Consider the following points.
A(-2,20) and P (10,-13)
AP undergoes the translation Tox(x,y), such that A (-28, 37) and P'(-16,4).
Part A: Complete the following algebraic description.
b
(x,y) → (x +
x= x
Part B: Which of the following statements is true?
A AP and A'P' have different locations.
B AP and A'P' have different shapes.
CAP and A'P' have different sizes.
D AP and A'P' have different directions.
Answer:
Transformation: (x,y) → (x - 26, y + 17) or
[tex]T _{-26,17}[/tex](x,y) [translation]
A, since the transformation of a translation simply changes the location of a certain figure because all the points of the figure are moved the exact same way. This is because a translation is a rigid transformation.
Explanation:
Let the preimage of points A and P be A(x1,y1), and P(x2,y2). And the image of points A and P be A'(x3,y3) and P'(x4,y4).
Given points A and P are A(-2,20) and (10,-13). And points A' and P' are A'(-28,37), and P'(-16,4). The translation is found by calculating the difference between these points for the figure. (x,y) → (( x + ((x3-x1) + (x4-x2))/2), (y + ((y3-y1) + (y4-y2))/2 )). If this does not match all the points in the transformation of the figure, than it is not a rigid transformation, and so it cannot be a translation.
The simple formula for the uniform translation of a figure is : (x,y) → ((x + (x2-x1), (y + (y2-y1)) . Where x2, and y2 are part of the image, while x1, and y1 are part of the preimage. This will get you from the preimage(1) to image(2) following a translation.
Given all the points, the more complicated work is shown here:
(x,y) → ((x + ((-28--2) + (-16-10))/2), (y + ((37-20) + (4--13))/2)) = (x,y) → ((x + (-26 + -26)/2),(y + (17 + 17)/2) = (x,y) → ((x - 26),(y + 17)) = (x,y) → (x - 26, y + 17).
When writing a transformation like a translation in a function, it will look like this: [tex]T _{∆x,∆y}[/tex](x,y). ∆x,∆y are just placeholders for the change in these variables that get you from the preimage to image.
Write the slope intercept form (y = mx + b) of the equation of the line through the given points with the given slope. Through:(2,-4), slope =-1
y = mx +c
Substitute the values,
-4 = -1(2) + c
c = -2
Thus, the equation is y= -x -2
Aight bois this can be worth a brainliest so y’all better help me out
Answer:
The differences between a physical change and a chemical change are as follows :
Physical change is a temporary and usually reversible change in which no new substances are formed whereas Chemical change is a permanent and it is usually an irreversible change in which new substances with different properties are formed. In physical change, the chemical composition of the substance remains the same but only the physical properties like state , colour , speed , motion , shape , size etc are changed whereas In chemical change , the physical properties , the chemical properties and the chemical composition of the substances are changed.Physical change is a reversible change as it occurs in forward as well as backward directions whereas chemical change is an irreversible change as it cannot be reversed back from products to reactants.Some of the examples of physical change are glowing of an electric bulb , magnetising an iron nail , preparing a solution , changing of ice into water and water vapour etc. Some of the examples of chemical change are changing milk into curd , rusting of iron , burning magnesium ribbon , decaying grasses , cooking rice etc.Hope I helped!
Best regards ! :D
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HURRY PLEASE!! I’ll mark you as brainliest
The water level in a storage tank is 14 feet. Water
is released at a constant rate until the tank is
empty. The graph below shows the water level (y)
in the tank, as a function of time (x).
which of these equations represents the relationship between time and the water level?
A. Y= -2x+14
B. Y= -2x-14
C. Y= 2x +14
D. Y=2x-14
equations represent the relationship between time and the water level is A. Y= -2x+14
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, The water level in a storage tank is 14 feet. Water is released at a constant rate until the tank is empty. The graph below shows the water level (y) in the tank, as a function of time (x).
Since at strat x =0, the value of y = 14 and at end y=0 the value of x is 7 hours.
The slope-intercept form of the equation of a line
y=mx+b,
where m is the slope
b is the y-intercept(where x is 0)
since, slope = (y - y')/(x -x')
In our case,
m = (14 /-7
m = -2
and b = 14
thus,
equation of line will be:
y = -2x + 14
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(71 +29) x 26
HAKSJA HELP RN
Answer:
2600
Step-by-step explanation:
(71+29) * 26
(100) * 26
2600
Answer:
2600
Step-by-step explanation:
Step 1:
First, following the order of operations, you have to do what is in the parentheses.
71+29
The sum of those numbers would be 100
Step 2:
Finally, you multiply 100 with 26
100·26
Which is 2600.
A. The point (3.5, 210) is on the graph. Explain what this means in terms of the car.
B. Is the point (1, 60) on this graph? Yes or no. Explain how you know
Answer/Step-by-step explanation:
A. The point (3.5, 210) on the graph means the car travelled a distance of 210 miles, at constant speed, for 3.5 hours.
B. To find out if the point (1, 60) is on the line, first, calculate the slope of the line (rate of change), and then find the rate of change between the point (1, 60) and the point (3.5, 210). If you get the same value as the slope of the line, it definitely means (1, 60) is a point of the graph.
Calculating slope of the line using (3.5, 210) and (5, 300):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{300 - 210}{5 - 3.5} [/tex]
[tex] slope(m) = \frac{90}{1.5} [/tex]
[tex] slope(m) = 60 [/tex]
Calculating the rate of change (slope) between (1, 60) and (3.5, 210):
[tex] = \frac{y_2 - y_1}{x_2 - x_1} = \frac{210 - 60}{3.5 - 1} [/tex]
[tex] = \frac{150}{2.5} = 60 [/tex]
Rate of change (slope) = 60
Since the average rate of change between (1, 60) and the given point on the graph, (3.5, 210), is the same as the slope of the graph, therefore the point (1, 60) is a point on the graph also.
The answer is, YES.