Answer: 7/5 or 1 2/5
Step-by-step explanation:
Ok so the bakery uses 3 3/5 cups cups of oats for 2 4/7 POUNDS of cookies.
You need to find the unit price.
So to get from 2 4/7 to 1, you need to divide 2 4/7 by 2 4/7
You need to do the same thing to 3 3/5 cups.
3 3/5 as an improper fraction is 18/5
2 4/7 as an improper fraction is 18/7
Now to divide you need to keep, change, and flip
keep the 18/5, change the sign to multiplycation, and flip the 18/7 to 7/18
18/5*7/18=7/5
7/5 or 1 2/5 pounds of outs are required to make 1 pound of oatmeal cookies
The total number of cups of oats are required per pound of cookies is 7/5 and this can be determined by using the unitary method.
Given :
A bakery uses 3 3/5 cups of oats to make 2 4/7 pounds of oatmeal cookies.
The following steps can be used in order to determine the total number of cups of oats are required per pound of cookies:
Step 1 - The unitary method can be used in order to determine the total number of cups of oats are required per pound of cookies.
Step 2 - According to the given data, a bakery uses 18/5 cups of oats to make 18/7 pounds of oatmeal cookies.
Step 3 - So, the total number of cups of oats are required per pound of cookies is:
[tex]=\dfrac{\dfrac{18}{5}}{\dfrac{18}{7}}[/tex]
Step 4 - Simplify the above expression.
= 7/5 cups/pound
For more information, refer to the link given below:
https://brainly.com/question/12116123
Find the value of the letter in each of the following. Give your answers to 1 d.p.
Answer:
a) z = 70.5°
b) s = 83.6°
c) x = 0.7cm
Step-by-step explanation:
We would solve for the above questions using Trigonometric functions of either Sine, Cosine or Tangent.
a) We are given the following values
Hypotenuse = 21 inches
The triangle is divided into two to give us a right angle triangle
The adjacent side = 14inches/2 = 7 inches
We are to find Angle z
The Trigonometric function we are using is Cosine
cos z = Adjacent / Hypotenuse
cos z = 7/21
cos z = 1/3
z = arc cos(1/3)
z = 70.528779366°
To 1 decimal place
z = 70.5°
b) We are given the following values
Hypotenuse = 12 cm
The triangle is divided into two to give us a right angle triangle
The opposite side = 16cm/2 = 8 cm
We are to find Angle s, but it is split into 2
So we represent the half as x
The Trigonometric function we are using is Sine
sin x = Opposite/ Hypotenuse
sin x = 8/12
sin x = 2/3
x = arc sin(2/3)
x = 41.810314896°
Remember in the question, we are to find s.
s = x° × 2
s = 41.810314896 × 2
s = 83.620629792
To 1 decimal place
s = 83.6°
c) From the above diagram, we are to find the Opposite side represented by x
Our triangle is split into two equal halves
Adjacent side = 2cm
Angle θ = 36°/2 = 18°
We are using Trigonometric function tan to solve for question c
tan θ = Opposite/ Adjacent
tan 18° = Opposite/ 2
Cross Multiply = tan 18° × 2
0.3249196962 × 2
= 0.726542528cm
To one decimal place,
x = 0.7cm
the skateboard Rita would like to buy cost $6 less than three times the amount she has saved the skateboard cost $69 how much does Rita have to save?
Choose the steps that show how to solve this problem using arithmetic.
Answer: Rita has $25 saved.
Step-by-step explanation:
You could think about it this way: $69 is $6 less than 3 times the amount of money that she has. So, let's solve this:
1) First you would add $6 to the $69 that the skateboard costs because you need to know what her savings would be if she multiplied it by 3.
$69+$6=$75
2) Now that we know that if we tripled her savings, we would have $75. We can now find out how much she actually has saved up by dividing the total of $75 by 3.
$75÷3=$25
I hope this helped you with your question!
Answer:
she saved $25
Step-by-step explanation:
Based on the graph below, what is a reasonable estimate for the у value when x is 4?
HELP PLEASE !!!2. Solve for x in the figure below. Show your work.
Answer:
×=19
Step-by-step explanation:
90-22=68
3x+11=68
68-11=57
3x=57
57÷3=19
x=19
When is it helpful to convert from point-slope to slope-intercept form?
Answer:
Point slope form is to find the coordinates of the point on the line, whereas slope intercept gives you the slope plus y-intercept
Step-by-step explanation:
Which system of equations has no solutions?
1. x-3y+3z=-4
2x+3y-z=15
4x-3y-z=19
2. 3x-3y+4z=6
-3x+3y-4z=-6
6x-6y+8z=12
3. -2a-4b+6c=5
-a+3b-2c=-1
a+2b-3c=1
4. x+y=9
y+z=7
x-x=2
Answer:
SUBSCRIBE TO Yxng Playz
ON you tube
Peter wants to flip a fair coin 8 times. He wants to know the probability of getting 3 heads. What is the value of P?
Answer:
7/32
Step-by-step explanation:
Combinators. Your best friend in this scenario.
Basically, using combinations helps you to find the different ways that you could get heads three times out of eight. To do that, just get 8!/(3!5!) (this is a formula, not the exact numbers, per say, you should check that out), which ends up as 56. So there's 56 different ways that Peter can flip a coin eight times and land on heads three times.
Then, you divide that by the total number of possibilities, which in this case is 2^8, since every coin you flip gives you two different options, heads or tails.
Simplifying the fraction gets you 7/32.
Answer:
7/32
Step-by-step explanation:
the probability of getting exactly 3 heads when a coin is flipped 8 times in a row is: 7/32.
Using the digits 1 to 9, at most one time each, fill in the boxes so that the points
make a parallelogram. Mathematically, use parallel line or congruent sides to
explain your answer. if there are calculations, include those in your explanation.
Answer:
(4, 7) (8, 9)
(2, 3) (6, 5)
Step-by-step explanation:
The definition of a parallelogram is a quadrilateral that has two pairs of opposite equal length parallel sides, including equal opposite angle measurements
To simplify the task, we plot the points on a graph paper for the parallelogram ABCD to get the following points;
B (4, 7) A (8, 9)
C (2, 3) D (6, 5)
The length of the opposite sides AB and CD are;
Length AB = √((9 - 7)² + (8 - 4)²) = √20 = 2·√5
Length CD = √((3 - 5)² + (2 - 6)²) = √20 = 2·√5
The length of the opposite sides AC and BD are;
Length AD = √((9 - 5)² + (8 - 6)²) = √20 = 2·√5
Length BC = √((7 - 3)² + (4 - 2)²) = √20 = 2·√5
The slope of segment AB is (9 - 7)/(8 - 4) = 2/4 =1/2
The slope of segment CD is (5 - 3)/(6 - 2) = 2/4 =1/2
Therefore, since the slopes of segments AB and CD are equal, segments AB and CD are parallel
Similarly, we have;
For segment AD, slope = (9 - 5)/8 - 6) = 4/2 = 2
For segment BC, slope = (7 - 3)/4 - 2) = 4/2 = 2
Therefore, the slopes of segments AD and BC are equal, segments AC and BD are parallel.
please help me and hurry
Answer:
median: 90
mode: 91
mean: 84.2 or round it to 84
Step-by-step explanation:
Let me know if this helps! have a great day! :)
Answer:
a) Median = 91
b) mode = 91
c)Mean 84.2
Step-by-step explanation:
a) Median is the middle term. So, 6th term
Median = 91
b) Mode is the score which occurs more number of times
91 occurs 3 times
Mode = 91
c) Mean= sum of all data's/Number of data's
= 85 + 91 + 48 +98 + 99 /5
= 421/5
Mean = 84.2
and what is the distance jeremy ran up the stairs is _______ feet. (round to the nearest tenth of a foot)
Answer:
4² + 5² = x²
Step-by-step explanation:
From the picture, the height of the staircase is:
h = 20 ft -15 ft = 5 ft
And the distance between the staircase and the building is 4 ft.
A right triangle is formed, where the distance between the staircase and the building (4) and the height of the staircase (5) are the legs, and the length of the staircase (x) is the hypotenuse. Using Pythagorean theorem:
4² + 5² = x²
WILL AWARD BRAINLIEST AND GIVE 30 POINTS! ANY HELP IS APPRECIATED! I PREFER A STEP BY STEP EXPLANATION!
Answer:
[tex]\frac{12}{253}[/tex]
Step-by-step explanation:
So I would start by multiplying all the numbers on
the denominator first ----->
11 x 14 = 154
~~~
14 x 17 = 238
~~~ *BASICALLY: FIND THE COMMON DENOMINATOR*
17 x 20 = 340 (this will be how u add everything at the end)
~~~
20 x 23 = 460
Now your goal is to get all of these numbers to be the same as the denominator so you can add them together at the end (get a common denominator)
**(remember when multipling the top and the bottom numbers, whatever you do to the bottom you must do to the top)**
3 3 3 3
--------- (x ?) + --------- (x ?) + --------- (x ?) + --------- =
154 238 340 460
***sorry i dont hav time to finnish but i hope this helped at least a little****
What is the height of the cone below?
Which facts are true for the graph of the function below? Check all that apply.
F(x) = logo.521^x
Answer:
its F, D, E, and C
Plz mark brainliest if this helps
Answer:
C. The domain is x>0.
D. The x-intercept is (1,0)
E. The range is all real numbers.
F. It is decreasing.
Step-by-step explanation:
It is correct!
Triangle UVW is dilated with a scale factor of 1∕3 with the center of dilation at the origin. What are the coordinates of the resulting triangle U′V′W′? answers: A) U′ (0, 1), V′ (2, 2), W′ (2, 0) B) U′ (0, 2), V′ (3, 3), W′ (4, 0) C) U′ (0, 1), V′ (3, 3), W′ (2, 0) D) U′ (0, 9), V′ (18, 18), W′ (18, 0)
Answer:
A) U′ (0, 1), V′ (2, 2), W′ (2, 0)
Step-by-step explanation:
The coordinate plane showing Triangle UVW is found online and attached below.
From the graph, the coordinates of the vertices of the triangle are:
U(0,3), V(6,6) and W(6,0)
When you dilate a point (x,y) with a scale factor of 1/3, you obtain: [tex]\left(\dfrac{x}{3}, \dfrac{y}{3}\right)[/tex]
Therefore, applying the dilation [tex](x,y) \rightarrow \left(\dfrac{x}{3}, \dfrac{y}{3}\right)[/tex], we have:
[tex]U(0,3) \rightarrow U'(\frac{0}{3} ,\frac{3}{3})=U'(0 ,1)\\\\V(6,6) \rightarrow V'(\frac{6}{3} ,\frac{6}{3})=V'(2 ,2)\\\\W(6,0) \rightarrow W'(\frac{6}{3} ,\frac{0}{3})=W'(2 ,0)[/tex]
The coordinates of the resulting triangle U′V′W′ are:
U′ (0, 1), V′ (2, 2), W′ (2, 0)
The correct option is A.
Answer:
this is what came with the question in my exam , but i dont
know the answer and i couldn't comment the picture so can someone help?
use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042 C. 2994 D. 3024
Answer:
Option A.
Step-by-step explanation:
The given sequence is
24, 30, 36, 42, 48, ...
It is an AP. Here,
First term = 24
Common difference = 30-24 = 6
The given explicit formula for nth term is
[tex]a_n=a_1+(n-1)d[/tex]
where, [tex]a_1[/tex] is first term, d is common difference.
Substitute [tex]a_1=24, d=6 \text{ and }n=500[/tex] in the above formula.
[tex]a_{500}=24+(500-1)(6)[/tex]
[tex]a_{500}=24+(499)(6)[/tex]
[tex]a_{500}=24+2994[/tex]
[tex]a_{500}=3018[/tex]
The 500th term of the sequence is 3018.
Therefore, the correct option is A.
Answer:
A is correct
Step-by-step explanation:
All of the pairs of corresponding angles and sides in ΔCAT and ΔDOG are congruent. Based on this information, which of the following is a true statement? Question 20 options: A) There isn’t enough information to make a statement about ΔDOG and ΔCAT. B) ΔDOG has been dilated to form ΔCAT. C) ΔCAT is congruent to ΔDOG. D) ΔDOG has half the area of ΔCAT.
Answer: C) ΔCAT is congruent to ΔDOG
Step-by-step explanation:
If all the sides of two triangles are congruent, then the triangles are congruent.
Answer:
c. ΔCAT is congruent to ΔDOG
Step-by-step explanation:
Due to each the AAA (angle-angle-angle) and SSS (side-side-side) theorems, if all of the facets and/or angles of triangles are congruent, then the triangles are congruent.
please mark me brainliest!
Convert the fraction 5/8 to a decimal
Answer:
0.625
Step-by-step explanation:
divide 5 by 8 to get 0.625
Answer:
0.625
Step-by-step explanation:
Divide the numerator by the denominator
so 5÷8 which equals 0.625.
Help plz with this question. Needed fast. I will mark brainliest.
Answer:
≈ 68.2°
Step-by-step explanation:
tan X= 20/8
tan X= 2.5
x= tan ⁻¹ 2.5
x ≈ 68.2°
Answer:
Step-by-step explanation:
To find the size of YXZ we should use some trigonometry but first let's find the length of YZ
The Pythagorian theorem :(XZ)²+(ZY)²=(YX)²
YX=[tex]\sqrt{20^{2}+8^{2} }[/tex]
=4[tex]\sqrt{29}[/tex]
We khow that sin(YXZ)=(YZ)/(YX) = 20/(4[tex]\sqrt{29}[/tex]) = 5/[tex]\sqrt{29}[/tex]using a calculator we get (YXZ)= 68°
A student was given the following diagram and asked to prove that AX = XC. What would be the reason for the third step in the proof? - Please help!
Answer:
B. SAS triangle congruence
Step-by-step explanation:
Statement 1 said that a side and an angle were congruent in both triangles.
Statment 2 said that they share a line, thus making them equal.
So, a Side Angle Side(SAS)
ΔHFG is dilated by a scale factor of 2 with the center of dilation at point F. Then, it is reflected over line a to create ΔEFI. Based on these transformations, which statement is true? Line segments EG and HI intersect at point F, forming triangles EFI and HFG. Line a intersects with both triangles at point F. segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI segment FG = segment FI, segment FH = segment FE, and segment HG = segment EI; ΔHFG ~ ΔEFI segment FG = one half segment FE, segment FH = one half segment FI, and segment HG = one halfsegment EI; ΔHFG ~ ΔIFE segment FG = segment FE, segment FH = segment FI and segment HG = segment EI; ΔHFG ~ ΔIFE
Answer:
segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI
Step-by-step explanation:
In the picture attached, the triangles are shown.
After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG and segment EI. More specifically:
FG = 1/2*FIFH = 1/2*FEHG = 1/2*EIAnswer:
segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI
Step-by-step explanation:
In the picture attached, the triangles are shown.
After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG and segment EI. More specifically:
FG = 1/2*FI
FH = 1/2*FE
HG = 1/2*EI
This answer is right! took the test on FLVS and confirmed it :)
Please help with this
Answer:
I think it's D because the line AC looks like it is splitting the rectangle in half. I think this is right since the angles are congruent. (Angle BAC and Angle ACD)
*PLEASE ANSWER TY* What is the area of minor sector DFE?
Answer:
x ≈ 34.88 square cm
Step-by-step explanation:
Solve by proportional formula:
Area of a sector/area of circle* = sector central arc measure/360
*area of a circle = πr²
x/(53.29π) = 75/360
x/53.29π = 0.2083
x = 11.1020833π
x = 34.8782233
x ≈ 34.88 square cm
Answer:
Other guy is right also i had it on my test x ≈ 34.88 square cm
Step-by-step explanation:
1 Point
Which of the following best describes a random event?
A. The number of doctor visits a person makes in a year
B. The winner of an election
C. The age at which a baby will get her first tooth
D. The age at which a person is legally allowed to drive in the state of
California
SEBNI
Answer: B
Step-by-step explanation:
Makes the most sense out of all the options because it’s the most random or unpredictable
Billy has three times as many llamas as lambs.
Milly has twice as many lambs as llamas.
They have 17 animals in total.
How many of the animals are llamas?
Answer:
There are 9 llamas.
Step-by-step explanation:
For Billy, we have to find a number that is divisible by four, because he has one group of lambs, and 3 times as many llamas, which gives us 4 groups altogether. The number must be below 10 in order to not go above 17 when Milly's number of animals are included, but above 4 itself in order to reach the target of 17 in the first place.
As you can guess, the only number that fits all the criteria is 8. It's divisible by 4 and below 10, but above 4 itself.
If Billy has three times as many llamas as lambs, then he must have 2 lambs, and 6 llamas, as 2 × 3 = 6.
If we know that Billy has 8 animals, then we also know that Milly must have 9 animals, as 17 - 8 = 9.
We also know that Milly has 3 groups of animals; one group of llamas, and two groups of lambs, meaning we divide the number of animals she has by 3.
9 ÷ 3 = 3.
This tells us Milly has just 3 llamas, because 3 is one group of 9, and 3 × 2 = 6, because she has twice the amount of lambs.
Billy has 2 lambs and 6 llamas.
Milly has 6 lambs and 3 llamas.
The amount of lambs is irrelevant to our final answer, so we can disregard them and do a final sum of 6 + 3 = 9, which gives us our answer.
Answer:
Billy: Has 4 lots of animals
Milly: Has 3 lots of animals
17 animals in total means that Billy must have 4 lots of 2 (8 animals) and Milly must have 3 lots of 3 (9 animals) So Billy has 6 llamas and Milly has 3, giving 9 llamas in total
Find the area ratio of a cube with volume 125m3 to a cube with volume 64m3.
Answer:
25:16
Step-by-step explanation:
i think its right
Two pirates were playing with golden coins. At the start of the game, the first pirate lost half of his coins to the second pirate, then the second pirate lost half of his coins to the first one, then again the first lost half of his coins to the second pirate. At the end of the game, the first pirate had 15 coins, and the second had 33 coins. How many coins did the first pirate have initially?
Answer:
24 coins
Step-by-step explanation:
Start:
first pirate --> 1/2 coins
second pirate --> 3/2 coins
Next:
first pirate --> 1/2 + 3/4 = 5/4 coins
second pirate --> 3/2 - 3/4 = 3/4 coins
Next:
first pirate --> 5/4 - 5/8 = 5/8 coins
second pirate --> 3/4 + 5/8 = 11/8 coins
So:If 5/8 coins is 15, then 1/8 coins is 3, and 8/8 coins is 24 coins.
Answer:
24 coins
Step-by-step explanation:
im to lazy to explain
10a - 41=19 pls help!!!!!
Answer:
a = 6
Step-by-step explanation:
10a - 41 = 19
10a = 19 + 41
10a = 60
a = 60/10
a = 6
Answer:
a= 6
Step-by-step explanation:
10a - 41=19
+41 +41
10a = 60
÷10 ÷10
a= 6
kamal has 6 cans of regular soda and 15 cans of diet soda. He wants to create some identical refreshment tables during the American football game. He also does not want to have any sodas left over. what is the greatest number of refreshment tables that Kamal can stock
Answer: 3
Step-by-step explanation:
This problem is looking for the Greatest Common Factor (GCF) of 6 and 15.
Draw a factor tree for each number and see what they have in common.
Reg Diet
6 15
∧ ∧
2 3 3 5
The GCF of 6 and 15 = 3
Each table will contain 2 cans of regular soda and 5 cans of diet soda.
F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over the interval [2,6] open bracket, 12, comma, 6, close bracket?
Answer:
[tex]A(x) = 243[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^3 - 9x[/tex]
[tex]Interval: (12,6)[/tex]
Required
Determine the average rate of change
Average rate is calculated as thus;
[tex]A(x) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case; b = 12 and a = 6
Calculating f(12)
[tex]f(12) = 12^3 - 9 * 12[/tex]
[tex]f(12) = 1728 - 108[/tex]
[tex]f(12) = 1620[/tex]
Calculating f(6)
[tex]f(6) = 6^3 - 9 * 6[/tex]
[tex]f(6) = 216 - 54[/tex]
[tex]f(6) = 162[/tex]
Substitute 12 for b and 6 for a in [tex]A(x) = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]A(x) = \frac{f(12) - f(6)}{12 - 6}[/tex]
Substitute values for f(6) and f(12)
[tex]A(x) = \frac{1620 - 162}{12 - 6}[/tex]
[tex]A(x) = \frac{1458}{ 6}[/tex]
[tex]A(x) = 243[/tex]
Find the y-intercept for the parabola defined by
this equation:
y=7x2 + 5x – 2
Separate the values with a comma.
Answer:
(0, -2)
Step-by-step explanation:
The y-int is where the graph crosses the y-axis when x = 0. The easiest and fastest way to do this problem is to graph the equation using a graphing calc and tracing the graph to find your value.
Answer:
Step-by-step explanation:
for y intercept x=0
thus y= -2
the point is (0,-2)