Answer:
Calories per cup = 120 calories
Calories in 2 cups = 240 calories
Step-by-step explanation:
Given that:
Number of calories in a [tex]\frac{3}{4}^{th}[/tex] cup serving = 90 calories
To find:
Unit rate for calories per cup = ?
Number of calories in 2 cups of cereal = ?
Solution:
Here we are given the number of calories in a [tex]\frac{3}{4}^{th}[/tex] cup serving.
To find the calories in one cup, we need to divide 90 calories with [tex]\frac{3}{4}[/tex].
So, unit rate for calories per cup can be given as:
[tex]\dfrac{90}{\frac{3}4}\\\Rightarrow \dfrac{90}{3}\times 4\\\Rightarrow \bold{120 \ calories}[/tex]
To find the calories in 2 cups of cereal, we need to multiply the unit rate for calories per cup with 2.
So, calories in 2 cups of cereal = [tex]120 \times 2[/tex] = 240 calories
Therefore, the answer is:
Calories per cup = 120 calories
Calories in 2 cups = 240 calories
30 POINTS!! PLEASE HELP ME! THANK YOU SO MUCH!!
show all steps to solve these problems in the photos
Step-by-step explanation:
Ok so i looked on an app i hope helps(Im not really sure if this is correct)I hope you get it soon!
To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers along one side of her middle school's hallway. She puts a skateboard sticker on every 4th locker (starting with locker 4), and a kite sticker on every 5th locker (starting with locker 5). Name three lockers that will get both stickers. After Lin makes her way down the hall, will the 30th locker have no stickers, 1 sticker, or 2 stickers? Explain how you know.
Answer:
The 30th sticker will have a sticker. The sticker will be 1 sticker (Kite Sticker) which will be put on the locker by Lin. This is because, following the arithematic progression of the sticker placement:
Locker 5 = Kite sticker
locker 10 = Kite sticker
Locker 15 = Kite sticker
.
.
Locker 30 = Kite sticker
It could be seen that at locker 30, the sticker to be placed by Lin will be Kite sticker
Step-by-step explanation:
Zion walked 1.7 miles in 1 hour. If he walks at the same rate, how far will he walk in 1.5 hours? Use partial products to find the answer.
Answer:
1 hour = 1.7 miles / 1.5 hours = ? Miles
1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles
Step-by-step explanation:
1.7 × 0.5 = 0.85 + 1.7 = 2.55 Miles
Hello :) um Im just trying to learn this question- "Select the division equation that can be used to find the solution to the problem. 4/9 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?"
2 ÷ 4/9= ?
4/9 ÷ 2= ?
2 ÷ 1/9= ?
2 ÷ 2/9= ?
=========================================================
Explanation:
We're told that 4/9 kg of baking soda costs $2
We can form the equation
4/9 kg = 2 dollars
We want to know the cost of 1 kg of baking soda, so we'll need to divide both sides by 4/9 to turn the "4/9 kg" into "1 kg"
Therefore,
4/9 kg = 2 dollars
turns into
1 kg = (2 ÷ 4/9) dollars
We could simplify further, but your teacher has decided not to.
Madeline solved the inequality 3x + 7 ≤ 8x - 3 and her solution is x = 2.
Madeline is incorrect. Explain why she is incorrect. *
Answer:
In her answer she has an equality, x=2. Emphasis on equal. However, in the original inequality it's not a equal sign. x=2 is true, just not the complete the answer.
Answer should be x is greater than or equal to 2.
Hopefully that makes sense.
Solve the inequality.
-1 <-4+ d
A d>3
B d>-3
C d<-3
D d<3
Answer:
A
Step-by-step explanation:
We add 4 on both sides
-1 + 4 < -4 + 4 + d
= 3 < d
Flip it and we get d > 3
The answer is A
Which expression is not equivalent to 1/16?
Answer:
Is there any answer choices?
Step-by-step explanation:
Answer:
answer choices??
Step-by-step explanation:
A city has an elevation of -752 feet. Which statement describes the city's elevation?
O-752 above sea level
O-752 below sea level
O 752 above sea level
O 752 below sea level
Answer:
The answer is C my good sir
Step-by-step explanation:
How many games did he win? Help
On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby
eucalyptus tree is 20 feet long. Find the height of the tree?
Answer:
16 feet
Step-by-step explanation:
Set up a proportion where x is the height of the tree:
[tex]\frac{4}{5}[/tex] = [tex]\frac{x}{20}[/tex]
Cross multiply and solve for x:
5x = 80
x = 16
So, the tree is 16 feet tall
Put the following equation of a line into slope-intercept form,
simplifying all fractions.
8x + 2y = -10
Answer:
y=-4x-5
Step-by-step explanation:
Subtract 8x from both sides to get the y variable alone. Then divide both sides by 2 and get y=-4x-5.
Answer:
y=−4x−5 because the guy on top of me said so
Step-by-step explanation:
Explain why the expression below always has the same value, no matter what number other than zero you choose for p.
P-2P+3p-4P
---------------
P
Answer and explanation:
The expression P-2P+3P-4P cannot have the same values for different values of P. Let us illustrate this by substituting different values of P in the expression:
If P= 2
Substitute P=2 in the expression
2-2×2+3×2-4×2
=2-4+6-8
=-4
If P= 3
Substitute P=3 in the expression
3-2×3+3×3-4×3
=3-6+9-12
=-6
If P = 1
Substitute P=1 in the expression
1-2×1+3×1-4×1
= 1-2+3-4
= -2
If P = -2
Substitute P=1 in the expression
-2-2×-2+3×-2-4×-2
= -2+4-6+8
=4
Therefore we can see from the above that the expression has different values for different values of P
The area of a square is 1,521 cm2. Find the length of a side of the square by
prime factorisation method.
Answer:
Isn't it simpler just to take the square root of 1,521?
It's 39
Step-by-step explanation:
Please help I am being timed!
Solve
7k – 8 = 28 + 24k
A. -2 2/17
B. -2
C. -1 5/31
D. 1 3/17
Sorry if this is easy I'm bad at math
20 Points
Can anyone help me with these Geometry questions? Will give Brainliest.
Answer:
give brain list first
Step-by-step explanation:
a student is painting a room at a constant rate she is able to paint 2/5 of the room in 1/2 of an hour how long does it take to paint the whole room
Answer:
She is able to paint 2/5's of the room in 1/2 hour. How long does it take to paint the whole room? = 7.5 minutes. Hence, it will take 5*7.5 = 37.5 minutes to paint the entire room.
Answer:
1 1/4 Hours
Step-by-step explanation:
2/5+2/5=4/5
4/5=1 hour
1/2/1/2=1/4
1/5 room in 1/4 hour
1+1/4=1 1/4 hours
Find unit rate for 14 for 2.99
Answer: Okay so let's try to find the amount of money needed to buy 1 lb. Therefore, let's divide the fraction by 14.
Then we'll divide both the numerator and denominator by 14.
÷
Then we simplify and get:
14÷14=1 2.99÷14=.2135 We can round that to .21
The unit rate for each pound would be 1:.21
I don't know if that helped, but yeah. :)
Step-by-step explanation:
The triangles in the picture are congruent by which method
Please help!!
if you can explain if not that is fine.
Answer:
The graph of y > 3x − 4 has shading above a dashed line. The graphs of the inequalities will intersect.
what's the simplified expression?
Answer:
6x⁴ + 20x³ - 30x² + 4
Step-by-step explanation:
Collect the like terms
6x⁴ + 18x³ + 2x³ - 36x² + 6x² + 12x - 12x + 4
SImplify expression
6x⁴ + 20x³ - 30x² + 4
Answer:
6x⁴- 18x³-4
i think
Step-by-step explanation:
What is an expression for 2 over 3 (4x +9).
Answer:
Step-by-step explanation:
2 / 3 ( 4x + 9 )
Distributive property
2 / 12x + 27
2/3
4
3.
An airplane is flying from New York City to Los Angeles. The distance it travels in
miles, d, is related to the time in seconds, t, by the equation d = 0.15t.
d= 0.15
1
0.157
t
(seconds)
1
30
d
(miles)
0.15
0.15 x 1
0.15 x 30
12.75
a.
How fast is it flying? Be sure to include the units.
b.
How far will it travel in 30 seconds?
C.
How long will it take to go 12.75 miles?
4.
Crater Lake in Oregon is shaped like a circle with a diamet
Answer:
2/3
4
3.
An airplane is flying from New York City to Los Angeles. The distance it travels in
miles, d, is related to the time in seconds, t, by the equation d = 0.15t.
d= 0.15
1
0.157
t
(seconds)
1
30
d
(miles)
0.15
0.15 x 1
0.15 x 30
12.75
a.
How fast is it flying? Be sure to include the units.
b.
How far will it travel in 30 seconds?
C.
How long will it take to go 12.75 miles?
4.
Crater Lake in Oregon is shaped like a circle with a diamet
Step-by-step explanation:
An exponential relationship is modeled by y = 31(0.81)x , what is the percent rate of change for this function?
Answer:
19%
Step-by-step explanation:
An exponential relationship is modeled by y = 31(0.81)^x , what is the percent rate of change for this function?
From the above exponential relationship given, we can see that this exponential relationship is an exponential decrease.
Where the formula:
y = a(1 - r)^t
Where a = Initial amount
r = rate of change in percent
t = time in years
y = a(1 - r)^x = y = 31(0.81)^x
1 - r = 0.81
r = 1 - 0.81
r = 0.19
Converting 0.19 × 100
= 19%
The value of a boat if depreciating at at a rate of 9% per year. In 2006 the boat was worth $17,800. Find the worth of the boat in 2013.
Answer:
The worth of boat in 2013 will be $9202.6
Step-by-step explanation:
Rate of depreciation = 9% = 0.09
Cost of Boat in 2006 =$ 17,800
Cost of Boat in 2013 = ?
Years = 2013-2006= 7 years
The formula used is: [tex]\mathbf{A=P(1+r)^{t}}[/tex]
Since the value of boat is depreciating the value of r will be r=-0.09
Here P = 17,800 , r=-0.09 and t = 7 years Finding A
[tex]A=P(1+r)^{t}\\A=17,800(1+(-0.09))^7\\A=17,800(0.91)^7\\A=17,800(0.517)\\A=9202.6[/tex]
So, the worth of boat in 2013 will be $9202.6
Find the length of each side of the triangle determined by the three points P1,P2,P 1,P 2, and P3. P3 State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both. (An isosceles triangle is one in which at least two of the sides are of equal length.) P1=(−1,4);P2=(6,2);P3=(4,−5)P 1=(−1,4);P 2=(6,2);P 3 =(4,−5).
Answer:
IT IS BOTH
Step-by-step explanation:
Given the coordinate of the triangle, P1P2P3, we are to classify the triangle. To do that we need to know the length of each side of the triangle
P1P2, P2P3 and P1P2 using the formula for calculating distance between two coordinates
D = √(x2-x1)²+(y2-y1)²
For P1P2;
P1=(−1,4) P2=(6,2)
P1P2 = √(6-(-1))²+(2-4)²
P1P2 = √7²+2²
P1P2 = √53
For P1P3;
P1=(−1,4) P3=(4,-5)
P1P3 = √(4-(-1))²+(-5-4)²
P1P3 = √5²+9²
P1P3 = √25+81
P1P3 = √106
For P2P3;
P2=(6,2) P3 = (4,-5)
P2P3= √(4-6)²+(-5-2)²
P2P3 = √2²+7²
P2P3 = √53
Since two sides of the triangles are the same, this means that it is an isosceles triangle.
Let's check whether it is right angled by applying Pythagoras theorem
(√53)²+(√53)² = x²
x is the longest side (hypotenuse)
53+53 = x²
106 = x²
x = √106
Since the square of the hypotenuse is equal to the sum of the sum of the square of other two sides, then it is also a RIGHT ANGLED TRIANGLE
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6/11
What is the equation of the line that passes through point (4. 12) and has a y-intercept
of - 2?
Answer:
7x - 2y - 4 = 0
Step-by-step explanation:
from the perpendicular equation formula,
y/a + x/b = 1
x1 = 4
y1 = 12
a = -2
b= ?
Inserting the values into the above formula,
12/-2 + 4/b = 1
-6 + 4/b = 1
4/b = 7
b = 4/7
putting a and b into the original formula,
y/-2 + x/(4/7) = 1
-y/2 + 7x/4 = 1 (×4)
-2y + 7x = 4
7x - 2y - 4 = 0
Therefore, the equation of the line is;
7x - 2y - 4 = 0
Which of the following expressions is this one equivalent to?
2x? - 15x² + 17x+3
X – 5
x?- 2x+5+
O A.
+2
7
x - 5
2x² - 5x-8 - 37
B.
X-5
2x2 – 25x – 108 - 321
X - 5
D.
2x – 5 –
3
X-5
Answer:
it is D
Step-by-step explanation:
you are saving money for a new iPhone. You've already save $249 and you make nine dollars per hour at work. How many hours, (h), must you work to have enough money to buy a $699 iPhone? Which inequality models this situation?
Answer: about 78 hours if you round up the answer!
Step-by-step explanation:
Answer:
$249 + 9h > $699Step-by-step explanation:
We will start with $249 and then add the inequality for h. Note that the number can be larger than 699, but not lower.
$249 + 9h > $699Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent increase or decrease for Diego's measurement?
Answer: 4.5%
Step-by-step explanation:
From the question, we are informed that Diego measured the length of a pen to be 22 cm while the actual length of the pen is 23 cm.
The percentage decrease in his measurement will be:
= (23 - 22)/22 × 100
= 1/22 × 100
= 4.5%
Answer:
4.3%
Step-by-step explanation:
What is the value of 5a + 7b
if a = 4 and b = 3??
a : 41
b : 12
c : 43
d : 35
Answer:
41
Step-by-step explanation:
the answer is a:41
this is because 5 times 4 is 20 and 7 times 3 is 21
so 20+21 is 41