Answer:
1 small box
5 medium box
2 large box
Step-by-step explanation:
Let x be the small box, y be the medium box and z be the large box.
So, we have:
[tex]\begin{array}{cccc}{} & {Oatmeal} & {Chocolate} & {Shortbread} & {x} & {1} & {1} & {0} & {y} & {2} & {1} & {1}& {z} & {2} & {2} & {3} & {Total} & {15} & {10} & {11} \ \end{array}[/tex]
From the above table, we have the following equations:
Oatmeal:
[tex]x + 2y + 2z = 15[/tex] --- (1)
Chocolate Chip
[tex]x + y + 2z = 10[/tex] --- (2)
Shortbread
[tex]y + 3z = 11[/tex] --- (3)
Make y the subject in (3)
[tex]y =11 - 3z[/tex]
Substitute [tex]y =11 - 3z[/tex] in (1) and (2)
[tex]x + 2y + 2z = 15[/tex] --- (1)
[tex]x + 2(11-3z) + 2z = 15[/tex]
[tex]x + 22 - 6z + 2z = 15[/tex]
[tex]x -6z +2z = 15 - 22\\[/tex]
[tex]x-4z = -7[/tex]
[tex]x = 4z - 7[/tex] --- (4)
[tex]x + y + 2z = 10[/tex] --- (2)
[tex]x + 11 - 3z + 2z = 10[/tex]
[tex]x - 3z + 2z = 10 - 11[/tex]
[tex]x -z = -1[/tex]
[tex]x = z - 1[/tex] --- (5)
Equate (4) and (5)
[tex]4z - 7 = z - 1[/tex]
[tex]4z - z = 7 - 1[/tex]
[tex]3z = 6[/tex]
[tex]z = 2[/tex]
Substitute [tex]z = 2[/tex] in (5)
[tex]x = z - 1[/tex] --- (5)
[tex]x =2-1[/tex]
[tex]x =1[/tex]
Substitute [tex]z = 2[/tex] in [tex]y =11 - 3z[/tex]
[tex]y = 11 - 3 * 2[/tex]
[tex]y = 11 - 6[/tex]
[tex]y = 5[/tex]
So, the solution is:
[tex]x =1[/tex] [tex]y = 5[/tex] [tex]z = 2[/tex]
Someone please help with trig question ASAP!!!! You dont need to do both! Will mark brainliest if right
Answer:
8 x = 60.10251159
9 x = 3.66062978
Step-by-step explanation:
Hey There!
So to answer these questions we need to use the Law of sines
Consider the following image
So to find x in number 8 we setup an equation
[tex]\frac{x}{sin90} =\frac{48}{sin53}[/tex]
now we solve for x
step 1 multiply each side by sin 90
now we have
[tex]x = \frac{48sin90}{sin53}[/tex]
if you plug the equation in a calculator you get that
x=60.10251159
( make sure if it says to round to the nearest.... that you round before entering your answer)
For number 9 the equation would be
[tex]\frac{9}{sin90} =\frac{x}{sin24}[/tex]
now we solve for x
step 1 multiply each side by sin 24
now we have
[tex]x=\frac{9sin24}{sin90}[/tex]
if you plug this into a calculator you get that
x = 3.66062978
(once again if it says to round to the nearest... make sure you round before you put in your answer.)
Which of the following measures of variability can be used to compare two data sets? Select all that apply.3 Answers PLZ FAST ASAP
A: Mean
B:Interquartile range
C.Median
D: Mean Absolute Deviation (MAD)
E: Range
Answer:
Its Interquartile range, Mad and range
Step-by-step explanation:
Solve the inequality 5x - 7 > 4x + 8
Answer:
x > 15
Step-by-step explanation:
5x-7>4x+8
+7 +7
5x > 4x +15
-4x -4x
x > 15
hope this helps :)
Please help with a.
Explain how you got your answer. Don’t use a calculator.
Answer:
The first one simplified is 3
And the second one is 3 as well
Step-by-step explanation:
Hope this helps
Please help!!! Giving brainliest and extra points!! (Click on the photo)
Answer:
B
Step-by-step explanation:
The average rate of change is less than that of the snickerdoodles and peanut butter so it is b
Answer:
Step-by-step explanation:
it is the frist one the numberof peole who favor chochle cip cookies is greater then peolep who like snicker doddle or oatmeal raisin
I have alot of missing assignments I have to get done I have 5 more
Answer:
26741 and 12
Step-by-step explanation:
(1)
The area ( A) of a rectangle is calculated as
A = length × width , then
A = 221 × 121 = 26741
(2)
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] × base × height , then
A= [tex]\frac{1}{2}[/tex] × 8 × 3 = 4 × 3 = 12
In Δ PQR, PQ = 17.4 m and PR = 7.6 m. K lies on QR such that ∠ PKQ = 137 °. find
(i) ∠ QPR (ii) the length of QK
using the trigonometric ratios
Answer:
here:given
PQ=17.4m
PR=7.6m
QR=?
NOW:QR^2=PQ^2-PR^2
QR=[(17.4)^2-(7.6)^2]^1/2
QR=[302.76-57.76]^1/2
QR=15.65
now: in tringle PKR
ANGLE PKR=43 DEGREE [180-137] IN TRINGLE ALL SIDES SUM 180]
tan(43)=PR/KR
Tan(43)=7.6/KR
KR=7.6/0.932
KR=8.15
NOW:QK=QR-KR
QK=15.65-8.15
QK=7.5
Match each data relationship with a type of correlation.
y does not change based on
changes in x.
negative correlation
y tends to decrease as x increases.
no correlation
y tends to increase as x increases.
t
positive correlation
Answer:
answer in picture
make sure you read the selections too
Step-by-step explanation:
The correct match for the data relationships in the image is as follows:
y does not change based on changes in z: No correlation
y tends to decrease as x increases: Negative correlation
tends to increase as x increases: Positive correlation
Here is an explanation of each of the matches:
Changes in z have no effect on y: This relationship demonstrates that y and z are not correlated. There is no obvious trend and the points are dispersed at random.
y tends to fall off as x rises: This association demonstrates that y and z do not correlate favorably. Y tends to decrease as x rises.
tends to grow as x gets bigger: This association demonstrates that y and z have a positive correlation. Y often rises as x rises.
To know more about data:
https://brainly.com/question/29117029
#SPJ2
Is it A. , B. , C. , D.
And show your work
Answer:
C
Step-by-step explanation:
PLZ help me im fairly confused with all of these please dont answer if your just going for the points and not really helping me i really need help
find the radius of a circle with a circumference of 25x yards
find the radius of a circle with an area of 280.13 square inches
find the diameter of a circle with an area of 615.75 cm squared
find the diameter of a circle with an area of 90.25x m squared
find the area of a circle with a circumference of 26x feet
find the circumference of a circle with an area of 289x mm squared
Answer:
there r 2 formulas for circumference: C= 2xpixr and c=pixd so use the one you need, plug in the values and solve
Step-by-step explanation:
please help mee , i will marl the brainliest .
Answer:
n = - 6
Step-by-step explanation:
Given k(x) then k(x) + n is a vertical translation of k(x)
• If n > 0 then a shift up of n units
• If n < 0 then a shift down of n units
Here k(x) has been shifted from (0, 0 ) to (0, - 6 )
That is a shift down of 6 units, then
p(x) = k(x) - 6
That is n = - 6
I don’t get this can someone explain please
Answer:
2^4/4^2 will be 1, I will explain after answering,
2 x 3^1 = 6
(4 - 2) ^2 = 4
First. Evaluate the exponents in the fraction above
2 x 2 x 2 x 2 = 16
4 x 4 = 16
and 16 over 16 would equal 1 whole
3 to the power of 1 means just 3 so 2 x 3 = 6 (easy multiplication)
Evaluate in the parenthesis first: 4 - 2 = 2 then 2 to the power of 2 would be 2 x 2 = 4
can someone help me with this please???
Answer:
diarrhea
Step-by-step explanation:
what is b
b+12=26
38
24
14
10
Answer:
b=14
Step-by-step explanation:
have a nice day and stay safe:)
Answer:
b+ 12 = 26
b = 26 - 12
b = 14.
The value of b is 14.
Taylor is going to see a movie and is taking her 5 kids. Each movie ticket costs $14 and there are an assortment of snacks available to purchase for $4 each. How much total money would Taylor have to pay for her family if she were to buy 8 snacks for everybody to share? How much would Taylor have to pay if she bought x snacks for everybody to share?
Answer:
$116
4x + 84
Step-by-step explanation:
David y Angie tienen dos cartulinas iguales. David corta la suya en 3 trozos iguales y Angie la corta en 7 trozos. Los dos usan 2 de sus trozos para hacer un muñeco. Que fracción de cartulina ha usado David?¿Y Angie?¿Quien ha usado mas cartulina? Alguien me lo dice por fa es que no lo entiendo
Answer:
(i) David ha empleado [tex]\frac{2}{3}[/tex] de la cartulina.
(ii) Angie ha empleado [tex]\frac{2}{7}[/tex] de la cartulina.
(iii) David ha usado más cartulina.
Step-by-step explanation:
El problema indica que David y Angie emplean una cartulina del mismo tamaño cada uno. David corta la suya en 3 pedazos iguales, mientras que Angie obtiene 7 pedazos iguales. Finalmente, cada uno emplea dos de sus pedazos. A continuación, respondemos a las preguntas del enunciado:
(i) ¿Qué fracción de cartulina ha usado David?
La fracción de cartulina empleada por David es igual a los pedazos utilizados divididos por el total de pedazos. Esto es:
[tex]x = \frac{2}{3}[/tex]
David ha empleado [tex]\frac{2}{3}[/tex] de la cartulina.
(ii) ¿Qué fracción de cartulina ha usado Angie?
Aplicando el mismo procedimiento del punto anterior, tenemos que:
[tex]x = \frac{2}{7}[/tex]
Angie ha empleado [tex]\frac{2}{7}[/tex] de la cartulina.
(iii) ¿Quién ha usado más cartulina?
La persona que ha usado la mayor cantidad de cartulina es aquella que tiene el menor denominador. Por tanto, David ha usado más cartulina.
pls answer correctly or i report you i really need to know this
the correct answer gets brain.liest
so answer correctly
pls answer correctly
pleaaaaaaaase
Answer:
final answer is d
Step-by-step explanation:
explanation multiply exponent on the outside by the inside.
btw you dont have to give me brainliest i dont really care for it i just like helping hope it's right good luck.!!;)
My father is 47 years old. I am x years old.
a.How old will my father be in y years’ time?
b.How old will I be in y years’ time?
Answer:
your father 47+y You x+y
Step-by-step explanation:
Your father is 47 + y years old after y years
You will be x + y years old after y years.
Which of the following expressions can you multiply using the FOIL Method? Check all that apply. Please Hurry. 50 points!!
1. (x+a)(x-b)
2. x(7x^2+3x-5)
3. (3x-2)(x+4)
4.(x-4)(x^2+2x-1)
Answer: the answers are
(x+a)(x-b)
(3x-2)(x+4)
Step-by-step explanation: i took the test and got it right hope this helps!
Options (1) and (3) will be the correct options.
FOIL method of multiplication: FOIL method of multiplication is applicable on the expressions
represented by → (a - b)(c - d)
Here, a and c are the FIRST terms
a and d are the OUTER terms
b and c are the INNER terms
b and d are the LAST terms
Multiplication by FOIL method will be the sum of FIRST, OUTER,INNER and LAST terms of the expression.
Therefore, expressions given in Option (1) and Option (3) will be the correct options.
Learn more about the FOIL method of multiplication here,
https://brainly.com/question/8663385?referrer=searchResults
How do I do this I need help I don’t wanna fail this quarter!!!!
Answer:
SSA
Step-by-step explanation:
Side Side Angle
Please help me with this !!!
Step-by-step explanation:
as this is total 90°angle
68°+x = 90 °
x = 90°-68°
x = 22 °
also
68° + 22 ° = 90 °
Answer:
90 - 68 = 22
the whole angle is 90
if we substract 68 from 90 , we will get the answer.
hi whats the answer??????????????
Answer:
x= -2
y=16
So it is D
Step-by-step explanation:
Substitute to find.
3x-8x=10
-5x=10
x= -2
y= 16
Jill is driving to her parent's house at a rate of 70 miles per hour. Which equation represents the relationship between the distance, d, to Jill's parents house and the time, t, it will take her to arrive at her parent's house?
Answers:
A: d=70t
B: d+70=t
C: t=70d
D: t+70=d
Answer/Step-by-step explanation:
D = distance
T = Time
You are trying to find the Time so,
T = ???
T = 70 ?
So you are driving PER hour so --> multiply
T = 70d
Hope this helped!
Great ran a one mile race in 5 minutes. Inex ran a quarter mile in 1 minute and 20 seconds.
If Inez ran the mile at her quarter mile pace of 1 minute and 20 seconds, how fast would she run the mile? Write your answer in minutes and seconds. (There are 4 quarter miles in a one mile race). 1._______)
2. Which of the two runners had the fastest time? ______
3. How much faster was her mile in seconds? _______
Answer:
1. The time it would take Inex to run 1 mile is 5 minutes 20 seconds
2. Great has the fastest (lowest) time
3. When running a mile Great is faster than Inex by 20 seconds
Step-by-step explanation:
1. The distance Great ran in 5 minutes = 1 mile
The distance Inex ran in 1 minute and 20 seconds = A quarte mile = (1/4) mile
We note that 1 minute and 20 seconds = 4/3 minutes
Given that the time Inex ran 1/4 mile = 4/3 minutes...(1)
We have;
The time it would take Inex to run 1 mile is given as follows;
1 = (1/4) ÷ (1/4)
1 mile = ((1/4) ÷ (1/4)) mile = (1/4) mile/(1/4)
The time to run 1 mile = The time to run (1/4) mile/(1/4) = 4/3 minutes/(1/4) (by dividing both sides of equation (1) by (1/4),
4/3 minutes/(1/4) = 4 × 4/3 minutes = 16/3 minutes = [tex]5\frac{1}{3}[/tex] minutes= 5 minutes 20 seconds
The time it would take Inex to run 1 mile = 5 minutes 20 seconds
2. Given that Great ran a one mile race in 5 minutes, and Inex ran the same one mile race in 1 minute and 20 seconds, Great has the fastest (lowest) time
3. The amount faster Great's time is faster than Inex's time to run one mile = 5 minute 20 seconds - 5 minutes = 20 seconds.
Work out the area of this circle.
Take pie to be 3.142 and write down all the digits given by your calculator.
Answer:
Area = 314.2 cm²
Step-by-step explanation:
Area of a circle = πr²
π = 3.142
r = 10 cm
Area of the circle = 3.142 × 10²
Area = 3.142 × 100
Area = 314.2 cm²
Answer:
314.2
Step-by-step explanation:
Multiply the diameter by pi
Taylor has $20 to spend on school supplies. A pack of
colored pencils is $2.75. Taylor writes the inequality
2.75p < 20, where p is the number of packs of colored
pencils, taldetermine how many packs she can buy.
How many packs can she buy?
Answer:
7 packs
Step-by-step explanation:
2.75p < 20
Divide both sides by 2.75
2.75p/2.75 < 20/2.76
Simplify
p = 7.27 (27 repeating)
Round
p = 7
y=x+2
2x-y=-4
solve the equations using a substitution
Please help answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
DH is perpendicular to HG
Explain:
10 to the 3rd power
Answer:
1000
Step-by-step explanation:
just trust me <3
A Story bought headphones for $50 the mark up the price 65% what is the selling price of the phone.
Answer:
$82.50
Step-by-step explanation: