Answer:
a) The unit rate for calories per cup is 100 calories per cup
b) 200 calories in 2 cups of cereal.
Step-by-step explanation:
A box of cereal states that there are 75 calories in a three fourths 3/4-cup serving.
a) What is the unit rate for calories per cup?
This is calculated as:
3/4 cup = 75 calories
1 cup = x
Cross Multiply
3/4x = 75 calories × 1
x = 75 calories /3/4 cup
x = 75 ÷ 3/4
x = 75 × 4/3
x = 100 calories per cup
The unit rate for calories per cup is 100 calories per cup
b) How many calories are there in 2 cups of the cereal?
From the above question
3/4 cup = 75 calories
2 cups = x
Cross Multiply
3/4x = 75× 2
x = 150 ÷ 3/4
x = 150 × 4/3
x = 200 calories
There are 200 calories in 2 cups of cereal.
In a box of chocolates, 1/5 of the chocolates contain nuts.
The rest of the chocolates do not contain nuts.
Write down the ratio of the number of chocolates that contain nuts to number of chocolates that do not contain nuts.
Give your answer in the form of 1:n
Answer:
The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4
Step-by-step explanation:
The parameters given are;
Proportion of the box of chocolates that contain nuts = 1/5
Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5
Therefore, we have in a box of chocolates with five chocolates;
The number of chocolates that contain nuts = 1
The number of chocolates that do not contain nuts = 4
Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.
Kate received $15 from her Nana on her birthday. Kate used this money to open a bank account, and added money each week as shown in the table. Interpret the y-intercept of the graph of this function.
Answer:
15
Step-by-step explanation:
x = time in weeks
y= dollars
so once x hits 0 they corresponding y will be the y intercept.
Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds, even though the video had already played 190 frames. The video plays 25 frames per second.
How many frames had the video already played when the time was equal to -3 2/5?
Answer:
105
Step-by-step explanation:
t = 0
frame = 190
so it means, the video has 190 before the timer start counting
speed 25 fps
-------
t = -3 2/5 s = -17/5 s
frame = ?
with the rate of 25 fps
it gain 25 x -17/5 = 85 frame.
so the video at that time has already played
190-85 = 105 frame
Which of the following statements about tornadoes is true
Answer:
I think the second one and the last one
Step-by-step explanation:
please mark me as brainliest thank you
Answer:
D.) Most tornadoes have wind speeds greater than 105 kph
Step-by-step explanation:
took the quiz
solve the inequality : 8<=2/3(3y-6)
Answer:
I'm assuming you meant [tex]8\leq \frac{2}{3} (3y-6)[/tex], if so the answer is [tex]\:y\ge \:6\:[/tex]
Step-by-step explanation:
hope this helps :)
Answer:
y_>-6
Step-by-step explanation:
8<=2y-4
2y-4>=8
2y-4+4>=8+4
2y>=12
2y/2>=12/2
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
7
Step-by-step explanation:
Pythagorean theorem. 24^2+b^2=25^2
Simplify
576+b^2=625
b^2=49
b=7
Type SSS, SAS, ASA, SAA, or HL
to justify why the two smaller triangles are
congruent.
Answer:
SSS
Step-by-step explanation:
They are congruent because they have 3 same sides.
a school has 1800 students 55 %of the students of girls. how many boys are in the school?
Answer:
810 boys
Step-by-step explanation:
1800 students and 55% are girls.
100%-55%=45%
1800*0.45 = 810
1800*0.55 = 990
So there are 990 girls and 810 boys.
Hope this helps :)
If $8000 is invested in an account for which interest is compounded continuously, find the amount of the investment at the end of 12 years for the following
interest rates.
(a) 2%
(b) 3%
(c) 4.5%
(d) 7%
Answer:
a) $1920, b) $2880, c) $4320, d) $6720
Step-by-step explanation:
a) Interest = Principal(Rate)(time)/100
Interest = $8000(12)(2)/100
Interest = $1,920
b) Interest = $8000(3)(12)/100
Interest = $2880
c) Interest = $8000(4.5)(12)/100
Interest = $4320
d) Interest = $8000(7)(12)/100
Interest = $6720
Sean has a beginning balance of $328.15 in his account. He writes checks for the following amounts: $20.75, $43.58,
$30.45, and $29.72. What is the new balance in Sean's account?
$14.75
$203.65
$124.50
$307.40
Answer:
The new balance in Sean's account is $203.65
Step-by-step explanation:
The initial balance in Sean's account is $328.15. Then he writes checks for the amounts $20.75, $43.58, $30.45, and $29.72.
The sum of his checks is $20.75 + $43.58 + $30.45 + $29.72 = $124.5
The new balance in Sean's account is the initial balance minus the sum of the amounts of the checks he wrote:
Final balance = $328.15 - $124.5 = $203.65
The new balance in Sean's account is $203.65
please helppp
•••••••••••••
Answer:
if it is x-5, and y +3 than
a = -2,3
b = -1,5
c = -4,6
Step-by-step explanation:
if we are going in a
(x,y)
order and x-5, and y +3, than this should be correct.
5 squared + 6 squared
Answer:
61
Step-by-step explanation:
25 + 36
Answer:
(5)^2 + (6)^2
25 + 36
= 61
hope it helps you
Find the gradients of lines A and B
Step-by-step explanation:
[tex]the \: gradient \: of \: line \: a \: is[/tex]
[tex]m = \frac{4}{1 } \\ m = 4[/tex]
[tex]the \: gradient \: of \: line \: b \: is[/tex]
[tex]m = \frac{ - 2}{1} \\ m = - 2[/tex]
Gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].
What is gradients?" Gradients is defined as the ratio of difference of y-coordinates to the difference of x-coordinates."
Formula used
Gradients [tex]= \frac{y_{2}- y_{1}}{x_{2}- x_{1}}[/tex]
According to the question,
Given from the graph,
Coordinates of Line A
[tex](x_{1} ,y_{1} ) = ( 3,3)\\\\(x_{2} ,y_{2} ) = ( 4,7)[/tex]
Substitute the value in the formula we get,
Gradient of line A [tex]= \frac{7-3}{4-3}[/tex]
[tex]= 4[/tex]
Coordinates of Line B
[tex](x_{1} ,y_{1} ) = ( -1,3)\\\\(x_{2} ,y_{2} ) = ( -2,5)[/tex]
Gradient of line B [tex]= \frac{5-3}{-2-(-1)}[/tex]
[tex]= -2[/tex]
Hence, gradients of line A is equals to [tex]4[/tex] and gradients of line B is equals to [tex]-2[/tex].
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Match the lines m and n to the statements they represent
Answer:
Line n: A set of points where the coordinates of each point have a sum of 2
Line m: A set of points where the y-coordinate of each point is 10 less than the x-coordinate
Step-by-step explanation:
Given
Lines m and n (See attachment)
Required
Interpret both lines
First, we pick few coordinates of line m and then line n.
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex](x_3,y_3) = (2,-8)[/tex] -- At point D
For n
[tex](x_1,y_1) = (-2,4)[/tex] -- At point A
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex](x_3,y_3) = (12,-10)[/tex] -- At point C
Test for Statement A:
Set of point with a sum of 2
i.e.
[tex]x + y = 2[/tex]
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex]x_1 + y_1 = 13 + 3 = 16[/tex]
This statement is not true for line m
For n
[tex](x_1,y_1) = (-2,4)[/tex] -- At point A
[tex]x_1 + y_1 = -2 + 4 = 2[/tex]
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex]x_2 + y_2 = 6- 4 = 2[/tex]
[tex](x_3,y_3) = (12,-10)[/tex] -- At point C
[tex]x_3 + y_3 = 12- 10 = 2[/tex]
This statement is true for line n
Test for Statement 2:
Set of points where y is x - 10
i.e.
[tex]y = x - 10[/tex]
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex]y_1 = x_1 - 10[/tex]
[tex]3 = 13 - 10[/tex]
[tex]3 = 3[/tex]
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex]y_2 = x_2 - 10[/tex]
[tex]-4 = 6 - 10[/tex]
[tex]-4 = - 4[/tex]
[tex](x_3,y_3) = (2,-8)[/tex] -- At point D
[tex]y_3 = x_3 - 10[/tex]
[tex]-8 = 2 - 10[/tex]
[tex]-8 = -8[/tex]
This statement is true for line m
What is the length of the hypotenuse of the triangle when x= 12?
6x+4
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)
Answer:
The length of the hypotenuse: c = 96.8 units
Step-by-step explanation:
Given the sides
a = 6x+4b = 5xc = hypotenuse = ?Given that the x = 12
so
a = 6x+4 = 6(12)+4 = 76b = 5x = 5(12) = 60Pythagorean Theorem:
For a right angled triangle with sides 'a' and 'b', the hypotenuse 'c' is defined as:
[tex]c=\sqrt{a^2+b^2}[/tex]
substituting a = 76 and b = 60
[tex]c=\sqrt{76^2+60^2}[/tex]
[tex]c=4\sqrt{586}[/tex]
[tex]c = 96.8[/tex] units
Therefore, the length of the hypotenuse: c = 96.8 units
Exercises that are _________ in nature are those that make your muscles use oxygen to perform
a) Aerobi
b) Anaerobic
Answer:
Aerobic
Step-by-step explanation:
Oxygen = aerobic
no oxygen = anaerobic
pls answer if you can i need the answer right away
Answer:
What’s the question?
Step-by-step explanation:
Translate the phrase into an algebraic expression. The difference of w and 6
Answer:
w - 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Translate
"Difference" is subtraction
"w" is w
"6" is 6
Step 2: Write
w - 6
Camille is getting older and feels like she should donate her collection of
stuffed animals to children who are less fortunate. She has 45 stuffed
cats and 18 stuffed dogs, which she wants to divide into identical groups
with no stuffed animals left over. What is the greatest number of groups
Camille can place her stuffed animals into? *
Plz help ASAP
Answer:
Answer is in photo
Step-by-step explanation:
Great things great things
Answer:
Heeeheeeeheee
Step-by-step explanation:
So right
NEED HELP QUICK <3
140 is what percent less than 160?
Answer:
Step-by-step explanation:
Step 1: We make the assumption that 160 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=160
Step 4: In the same vein, = x%=140.
Step 5: This gives us a pair of simple equations:
100%=160(1).
x%=140(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% / x% = 160 / 140
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% = 140 / 160
x% = 87.5%
therefore, 140 is 87.5% of 160
We obtain that 140 is 12.5% percent less than 160.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, 140 is some percent less than 160 to obtain this we'll subtract (140/160)×100% from 100% which is,
= 100% - (140/160)×100%.
= 100% - 87.5%.
= 12.5%
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The data set shows how many points Mark scored in each basketball game he played this season.
1.4, 4.5,5, 7, 8, 8, 10, 11, 11, 11, 14, 15, 16
The box plot shown is a summary of the data.
Move numbers to the spaces to label the values and complete the box plot.
*not drawn to scale
1
5
8
9
11
12
14
15
16
Answer:
1,5,8,11,16
Step-by-step explanation:
You purchase 3 action figures per week. You have 27 action figures, which is 60% of the total number of action figures you need to complete your collection. How many weeks until your collection is complete?
0.15(y-0.2)=2-0.5(1-y)
Answer:25
Step-by-step explanation:
it 25 bc if u add them and then subtract then u get 25
Mr. Verrengia bought some math supplies at the local math depot. He
doesn’t remember how much money the items cost, but knows that
the 5% sales tax came to $1.25. How much money did he spend on the
math supplies before tax?
I need to know quick!
Answer:
6.25
Step-by-step explanation:
Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.
Answer:
The speed of the current is 2.5 miles per hour
Step-by-step explanation:
Systems of Equations
Let's call:
B = velocity of the boat
C = velocity of the current
When traveling upstream, the current is against the boat thus the relative velocity is B-C.
The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:
d=(B-C)*7=35
Dividing by 7:
B - C = 5 [1]
When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:
d=(B+C)*3.5=35
Dividing by 3.5:
B + C = 10 [2]
Subtracting [2] - [1]:
2C = 5
C = 5/2 = 2.5
The speed of the current is 2.5 miles per hour
Identify the initial amount and the growth rate of the following:
Y = 9.8 (1.35)^t
sorry if it’s blurry
Answer:
im blind
Step-by-step explanation:
im really sorry i cant see anything
Answer:
It is A or 3.9
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
its just the square route.
Select the correct answer. if f(x) =
Answer:
A is the correcy asnwer
Step-by-step explanation:
Answer:
C. y = - f(x) - 3Step-by-step explanation:
Given parent function:
f(x) = √xThe graphed is reflection of the parent function over x-axis and translated 3 units down. This is:
y = - f(x) - 3Correct option is C
Lori lives 272 miles from her grandparents, 411 miles from her aunt, and 39 miles from her cousins. About how much closer does Lori live to her grandparents than to her aunt?
Answer:
139 miles
Step-by-step explanation:
Lori lives 272 miles from her grandparents
411 miles from her aunt
39 miles from her cousins
Therefore the distance in which Lori lives to get grandmother than her aunt can be calculated as follows
= 411 miles - 272 miles.
= 139 miles