Each week, Mrs.Mack buys exactly 3 5/8 pounds of cheese for her mac-and-cheese recipe. She chooses from these kinds of cheese. Mrs.Mack buys as many packages as she needs— up to three packages of any kind. What packages of cheese (and how many of each kind) does Mrs.Mack buy? 7/8pounds of american cheese. 0.5 pounds of cheddar cheese. 0.2 pounds of swiss cheese. HELP PLEASE
Answers
9514 1404 393
Answer:
3 packages of American (7/8 lb)2 packages of cheddar (1/2 lb)Step-by-step explanation:
The amount of cheese Mrs Mack needs is an odd number of eighths of a pound. So, she must buy an odd number of the 7/8 pound packages.
If she were to buy any 1/5 pound packages, she would have to buy a multiple of 5 of them so as to have an integral number of eighths. The only suitable multiple is 0.
If Mrs Mack buys 1 of the 7/8 pound packages, she cannot make up the difference with half-pound packages. She must buy 3 of the 7/8 pound packages, for a total of 2 5/8 pounds of American cheese. The remaining pound can be bought as 2 of the 1/2 pound packages.
To buy 3 5/8 pounds, Mrs Mack must purchase ...
3 packages of American cheese (7/8 lb each)
2 packages of Cheddar cheese (1/2 lb each)
Related Questions
A history class contains 10 male students and 7 female students. Find the number n of ways that the class can elect 2 class representatives, 1 male and 1 female
Answers
Answer:
Total 17 students: 10 male and 7 female
no. Of ways that the class can elect 2 class representatives: (10C1) x (7C1) = 70 ways to elect the 2 class representatives.
Suppose that the probability that an item produced by a certain machine will be defective is 0.1. Find the probability that a sample of 20 items will contain at most 2 defective items.
Answers
Answer:
no it is really easy question to answered so do it your self
Make p the subject of the formula
m=3n+2p
Answers
Answer: \(p = \frac{m - 3n}{2}\)
Step-by-step explanation:
We need to isolate p from the given equation.
m=3n+2p
first lets subtract 3n from both sides to get 2p by itself.
m - 3n = 2p
now lets divide by 2 from both sides
m - 3n = 2p
/2 /2 /2
\(p = \frac{m - 3n}{2}\)
A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3
Answers
Answer:
the mean is the most appropriate 2.75 approximately 3
Step-by-step explanation:
to find the mean sum all observation and divide by the number of observations.
that is
mean = (2+14+1+2+0+1+0+2)/8
= 22/8
= 2.75
= 3
can someone help me with this problem please and give examples im clueless on this one
Answers
An urn contains 7 black and 9 red balls. Five balls are randomly drawn from the urn in succession, with replacement. That is,after each draw, the selected ball is returned to the urn. What is the probability that all 5 balls drawn from the urn areblack? Round your answer to three decimal places.
Answers
0.016
1) Considering that we have:
7 black balls
9 red balls
----------------------
16 balls
And 5 balls were randomly drawn.
2) We can write out:
As there was a replacement whenever we take a ball we put it back in the urn. Then the probability of taking 5 black balls is
\(\begin{gathered} P(5\text{ black balls)=(}\frac{7}{16})^5=\text{ }\frac{7}{16}\times\frac{7}{16}\times\frac{7}{16}\times\frac{7}{16}\times\frac{7}{16} \\ P(5\text{ black balls) = 0.016} \end{gathered}\)3) Then the answer is 0.016
devide 255 in the ratio 3:7:7:10
Answers
Answer:5
Step-by-step explanation:
5098
commutative property of (32)-5+7?
Answers
Answer:
= 34
Step-by-step explanation:
(32)-5+7
32 - 5 + 7
= 32 + 2
= 34.
Acellus
Find all the missing elements:
B
C
a
B = 32°
C = 125°
a = 7
Α'
b C
A = [?]° b = [ ] c = [ ]
Enter
![AcellusFind all the missing elements:BCaB = 32C = 125a = 7'b CA = [?] b = [ ] c = [ ]Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/19wXjtGE1kI0P16WPQjVXp34rrKvZzFG.png)
Answers
Answer:
A = 23°
B = 9.5
C = 14.7
Step-by-step explanation:
Right Answers :)
The missing values are:
A = 23°
b = 9.5
c = 14.72
What is obtuse triangle?"It is a triangle whose one of the angles measure greater than 90° and other two acute angles."
What is law of sines?"The ratio of the length of a side of a triangle to the sine of the angle opposite to that side is the same for all sides and angles in a given triangle."
For given question,
We have been given an obtuse triangle ABC.
Here, ∠B = 32°
∠C = 125°
We know that the sum of all angles of a triangle is 180°
⇒ ∠A + ∠B + ∠C = 180°
⇒ ∠A + 32° + 125° =180°
⇒ ∠A = 23°
Using the law of sines to triangle ABC,
\(\Rightarrow \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC} \\\\\Rightarrow \frac{7}{sin23^{\circ}} =\frac{b}{sin32^{\circ}} =\frac{c}{sin125^{\circ}}\)
Consider,
\(\Rightarrow \frac{7}{sin23^{\circ}} =\frac{b}{sin32^{\circ}} \\\\\Rightarrow \frac{7}{0.39} =\frac{b}{0.53} \\\\\Rightarrow 7\times 0.53=b\times 0.39\\\\\Rightarrow b = 9.5\)
Now we find the length of the side AB.
\(\Rightarrow \frac{7}{sin23^{\circ}} =\frac{c}{sin125^{\circ}} \\\\\Rightarrow \frac{7}{0.39} =\frac{c}{0.82} \\\\\Rightarrow 7\times 0.82=c\times 0.39\\\\\Rightarrow c = 14.72\)
Therefore, the missing values are:
A = 23°
b = 9.5
c = 14.72
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Krista designs quilts using the pattern shown. The table of values describes the shaded area of the pattern in square units, y, as a function of the length of a side,X units. Which equation describes this relationship?
Answers
The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²
Modeling relationship between two variablesSide length, x = 1,3,4,5,8
Shaded Area, y = 0.5, 4.5, 8, 12.5, 32
The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c
a = 0.5 ; b = 0 ; c = 0
Therefore, the quadratic function can be written as y = 0.5x²
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Help! I’m confused and need help finding the answer!
Answers
Answer:
y=11x
Step-by-step explanation:
we use formula y2-y1/x2-x1 with 2 of the order pairs
22-11/2-1
11/1
11 is the slope
We find y intercept by finding when x is equal to zero and we subtract 11 until we find the 0 x unit since it goes down 11 every time
When x is zero y is zero so we write it like this
Y=11x
Hopes this helps please mark brainliest
Help!! Find the domain of the graphed function.
Answers
if you were to look at the x coordinates from any point in the function, it’s always more than 0 (the first point is 0). every x point is greater than 0 so it can’t be all real numbers since that would include negative x coordinates
K-Mart is open Monday through Saturday from 8:00 AM to midnight and Sunday from 10:00 AM to 8:00 PM. How many hours is it open in one week?
Answers
From Monday to Saturday the ayote is open 16 hours a week, 6 days a week. 16x6=96. Then add the ten hours it’s open on Sunday and get 106.
A boat heading out to sea starts out at Point A, at a horizontal distance of 1357 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 9°. At some later time
the crew measures the angle of elevation from point B to be 3°. Find the distance
from point A to point B. Round your answer to the nearest tenth of a foot if
necessary.
Answers
The distance from point A to point B is 2744.1 feet.
Define Trigonometric ratio
The ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).
Given, horizontal distance = 1357 feet
Let h = height of the lighthouse
tan(A) = perpendicular / base
where, perpendicular = h
base = 1357 feet
Angle is 9°
so now, put these value in trigonometric ratio
tan(9) = h / 1357
where, tan(9) = 0.1584
h = 1357 * 0.1584
h = 214.9 feet
Let d = distance from point B to the Lighthouse base
Angle is 3°
h = 214.9 feet
so, tan(3) = 214.9 / d
where, tan(3) = 0.0524
0.0524 = 214.9 / d
d = 214.9 / 0.0524
d = 4101.1 feet
Distance between point A to B = 4101.1 - 1357
= 2744.1 feet
Therefore, the distance from point A to point B is 2744.1 feet
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Simplify these thing below please. I am stuck again... Thank you
Answers
\(9\sqrt{56 x^7 y^{12}}\qquad \begin{cases} 56=7\cdot 2\cdot 2\cdot 2\\ \qquad 7\cdot 2^2 \cdot 2\\ \qquad 2^2\cdot 14\\ x^7=x^{(3)(2)+1}\\ \qquad (x^3)^2\cdot x^1\\ y^{12}=y^{(6)(2)}\\ \qquad (y^6)^2 \end{cases}\hspace{5em} \begin{array}{llll} 9\sqrt{2^2(14)(x^3)^2 x (y^6)^2} \\\\\\ 9(2)(x^3)(y^6)\sqrt{14x} \\\\\\ {\Large \begin{array}{llll} 18x^3y^6\sqrt{14x} \end{array}} \end{array}\)
Answer:
\(\textsf{1.} \quad 18\;x^3\;y^{6}\sqrt{14x}\)
\(\textsf{2.} \quad -8\sqrt{2}\)
Step-by-step explanation:
Question 1Given expression:
\(9\sqrt{56x^7y^{12}}\)
\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)
\(\implies 9\sqrt{56}\sqrt{x^7}\sqrt{y^{12}}\)
Rewrite 56 as 4·14:
\(\implies 9\sqrt{4 \cdot 14}\sqrt{x^7}\sqrt{y^{12}}\)
\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)
\(\implies 9\sqrt{4}\sqrt{14}\sqrt{x^7}\sqrt{y^{12}}\)
Rewrite 4 as 2²:
\(\implies 9\sqrt{2^2}\sqrt{14}\sqrt{x^7}\sqrt{y^{12}}\)
Simplify:
\(\implies 9\cdot 2\sqrt{14}\sqrt{x^7}\sqrt{y^{12}}\)
\(\implies 18\sqrt{14}\sqrt{x^7}\sqrt{y^{12}}\)
\(\textsf{Apply exponent rule} \quad \sqrt{a}=a^{\frac{1}{2}}:\)
\(\implies 18\sqrt{14}\;(x^7)^{\frac{1}{2}}\;(y^{12})^{\frac{1}{2}}\)
\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)
\(\implies 18\sqrt{14}\;x^{\frac{7}{2}}\;y^{\frac{12}{2}}\)
\(\implies 18\sqrt{14}\;x^{\frac{7}{2}}\;y^6\)
Rewrite ⁷/₂ as 3 + ¹/₂
\(\implies 18\sqrt{14}\;x^{(3+\frac{1}{2})}\;y^{6}\)
\(\textsf{Apply exponent rule} \quad a^{b+c}= a^b \cdot a^c:\)
\(\implies 18\sqrt{14}\;x^3 \; x^{\frac{1}{2}}\;y^{6}\)
\(\textsf{Apply exponent rule} \quad a^{\frac{1}{2}}=\sqrt{a}:\)
\(\implies 18\sqrt{14}\;x^3 \; \sqrt{x}\;y^{6}\)
Rearrange:
\(\implies 18\;x^3\;y^{6}\sqrt{14x}\)
Question 2Given expression:
\(7\sqrt{32}-6\sqrt{72}\)
Rewrite 32 as 16·2 and 72 as 36·2:
\(\implies 7\sqrt{16 \cdot 2}-6\sqrt{36 \cdot 2}\)
\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)
\(\implies 7\sqrt{16}\sqrt{2}-6\sqrt{36}\sqrt{2}\)
Rewrite 16 as 4² and 36 as 6²:
\(\implies 7\sqrt{4^2}\sqrt{2}-6\sqrt{6^2}\sqrt{2}\)
\(\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)
\(\implies 7 \cdot 4\sqrt{2}-6\cdot 6\sqrt{2}\)
Simplify:
\(\implies 28\sqrt{2}-36\sqrt{2}\)
\(\implies -8\sqrt{2}\)
28. Find the mean, median and mode of the following data: 5, 4, 1, 2, 9, 3, 6,5, 3, 2, 1, 2, 7,5,5, 11
Answers
this is a answer or not ask me
The average horse requires 0.0333 Megacalories (Mcal) each day for every kilogram (kg) it weighs. If your horse weights 678 kg, and the food you are buying provides 810 kcal per pound of food, how many pounds of food do you need each day for your horse?
Use the following facts:
1000 kcal = 1 Mcal
1 pound food = 810 kcal
0.0333 Mcal = 1 kg horse
Round to the nearest whole number.
Answers
On solving the provided question, we can say that Therefore, you would need multiply approximately 27.84 pounds of food each day for your horse.
what is multiplyOne of the four mathematical operations, along with arithmetic, subtraction, and division, is multiplication. Mathematically, adding subgroups of identical size repeatedly is referred to as multiplication. The multiplication formula is multiplicand multiplier yields product. To be more precise, multiplicand: Initial number (factor). Number two as a divider (factor). The outcome is known as the result after dividing the multiplicand as well as the multiplier. Adding numbers involves making several additions. as in 5 x 4 Equals 5 x 5 x 5 x 5 = 20. 5 times by 4 is what I did. This is why the process of multiplying is sometimes called "doubling."
First, we need to convert the weight of the horse from kilograms to pounds, so:
678 kg x 2.20462 lbs/kg = 1495.69 lbs
Next, we need to calculate how many Mcal the horse needs per day:
0.0333 Mcal/kg x 678 kg = 22.58 Mcal/day
Then, we can convert the Mcal to kcal:
22.58 Mcal/day x 1000 kcal/Mcal = 22,580 kcal/day
Finally, we can divide the total daily kcal needed by the kcal per pound of food to find the total pounds of food needed:
22,580 kcal/day ÷ 810 kcal/lb = 27.84 lbs/day
Therefore, you would need approximately 27.84 pounds of food each day for your horse.
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12.874 rounded to the nearest tenth
Answers
I think it might be 12.9
Define your variables, write a system of equations, then solve the system of equations by using substitution.
The school that Stefan goes to is pre-selling tickets to a concert. On the first day of ticket sales, the school sold 3 student tickets and 1 adult ticket for a total of $38. The school took in $52 on the second day boy selling 3 student tickets and 2 adult tickets. Find the price of a student ticket and the price of an adult ticket.
Answers
I'm happy to help!
Answer:
Adult tickets are $14
Student tickets are $8
Step-by-step explanation:
let's say that \(\tt s=student~ticket\\\\\)
And \(\tt a=adult~ticket\)
on the first day we have:
\(\tt 3s+a=38\)
On the second day we have
\(\tt3s+2a=52\)
now we have a system of 2 equations with 2 unknown
\(\tt 3s+a=38\)
\(\tt 3s+2a=52\)
we will multiply the first equation with -1
\(\tt -3s-a=-38\\\tt ~3s+2a=52\)
we solved the system and
a= $14, forthe adult ticket
s= $8 for the student ticket
Hope this helps!Have an Awesome day!
The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.050.05 level that the drug stays in the system for more than 340340 minutes. After performing a hypothesis test, she decides to reject the null hypothesis. What is the conclusion
Answers
Answer:
There is significant evidence at 0.05
Step-by-step explanation:
Given that:
After performing hypothesis., with confidence level being α = 0.05 ; The researcher decides to reject the Null. The conclusion will be ;
There is significant evidence to reject the Null at confidence level of 0.05
Determine the value of x. Question 7 options: A) 4.59 B) 4.625 C) 0.22 D) 55.8
Answers
i think a is the answer but am not sure
Answer:
D) 55.8
Step-by-step explanation:
If every 2 cm on a scale drawing is equal to 7 feet in real life, which lines on the drawing would be greater than 21 feet in real life? Select all that apply. A) 7 cm B) 5 cm C) 9 cm D) 12 cm
Answers
The correct answers are A) 7cm, C) 9cm and D) 12cm
Define the Conversion of units?The process of changing a given quantity that is expressed in one unit of measurement to another unit of measurement that is equivalent in value is referred to as conversion of units.
If every 2 cm on a scale drawing is equal to 7 feet in real life, then we can use proportions to find out which lines on the drawing would be greater than 21 feet in real life.
Let x be the length of a line on the scale drawing in centimeters. Then, we can set up the following proportion:
⇒ \(\frac{2cm}{7 feet} = \frac{x cm }{yfeet}\)
where y is the length of the line in real life. Solving for y, we get:
⇒ \(y = \frac{7 feet} {2cm} *x\)
⇒ \(y = 3.5 x feet\)
If we put x = 2cm (given) then, y = 7 feet
For y = 21 feet, the value of x = 6cm.
Therefore, any line on the scale drawing that is greater than 6cm in length corresponds to a length greater than 21 feet in real life.
So, the lines on the drawing that are greater than 21 feet in real life are:
A) 7cm, C) 9cm, D) 12cm
Therefore, the correct answers are A) 7cm, C) 9cm and D) 12cm
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What is the value of X? Help!! Please!
Answers
Answer:
x=61
Step-by-step explanation:
55(x+3)+x=180
combine like terms
58+x+x=180
58+2x=180
subtract 58 from both sides
2x=122
divide both sides by 2
x=61
Find the value of y.
Answers
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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6 groups of is
the same as 48.
Answers
Answer:
6 groups of 8 is the same as 48
Step-by-step explanation:
Answer:
8Step-by-step explanation:
6 groups of is
the same as 48.
6x = 48
x = 48 : 6
x = 8
---------------
6 * 8 = 48
How much of each of these ingredients are necessary for 3 dozen cookies . Simply your answer
Answers
Answer:
Butter: 1 1/8 cups
Baking powder: 2 1/4 teaspoons
Coarse sugar: 1 1/4 cups
Step-by-step explanation:
Butter:
4/1.5 = 3/x
(1.5)(3) /4 = 9/8 = 1 1/8 cups
Baking powder :
4/3 = 3/x
(3)(3) / 4 = 9/4 = 2 1/4 teaspoons
Sugar:
(4)/(5/3) = 3/x
(5/3) (3) / 4 = 5/4 = 1 1/4 cups
:
Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Select TRUE or FALSE to indicate if the expression has been simplified correctly.
Answers
Answer:
false its x^6/9
Step-by-step explanation:
the diameter of a circle is 4 centimeters. what is the circumference in centemeters
Answers
Answer:
C≈12.57
C=2πr
d=2r
C=πd=π·4≈12.56637cm
Answer:
12.56 if it asks to use 3.14, 4\(\pi\) if it does not ask to use 3.14
Step-by-step explanation:
If it asks to use 3.14
C=\(\pi d\)
substitute \(\pi\) with 3.14 and d with 4.
C=3.14*4
C=12.56
If it does not ask to use 3.14 your answer is 4\(\pi\)
C=\(\pi d\)
C=\(\pi 4\)
C=4\(\pi\)
WHAT IS THE ANSWER??????
Answers
Answer:
x = 19m
Step-by-step explanation:
to find the other two sides of the compound shape,
(2+6+6)= 14m , and (x-2)m
area of the compound shape = (2 x 14) + 2(x-2) =28 + 2x - 2 = 2x+26 m²
area of square = 8 x 8 = 64 m²
the question states that these two shapes have the same area,
2x + 26 = 64
2x = 38
x = 38/2
x= 19m