Answer:
$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough
Step-by-step explanation:
We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.
Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.
First equation for Mike: 12a + 3b = 225
Second equation for Shawna: 6a + 11b = 293
Next we isolate b from Mike's equation: b = 75 - 4a
Then we plug this equation into Shawna's equation and we get:
6a + 11(75 - 4a) = 293
Solving for a would get us 14, or $14 for one chocolate chip cookie dough.
If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.
Hope this helped!
6 4/5 as a fraction greater than 1
Answer:
34/5
Step-by-step explanation:
5/5 x 6 = 30/5 + 4/5 = 34/5
1 < 34/5
anyone know which company charges the greatest rate per window?
Company B costs most per window
Step by step:
company a = 25x + 50
company b = 40x + 15
company c = 35x + 25
CAN SOMEONE PLEASE EXPLAIN WHY THE ANSWER FOR THIS IS 4N+15. THIS IS 10 MINUTES PAST DUE!!! TAKE 20 POINTS
What is the area of the shaded region? Round to the nearest tenth.
Answer:
The answer is 50.2cm²
Step-by-step explanation:
Area of the whole circle (the whole shape)
A= πr²
A= 3.14 x (5cm)²
A= 3.14 x 25cm
A= 78.5cm²
Area of the part in the middle (non-shaded part)
A= πr²
A= 3.14 x (3cm)²
A= 3.14 x 9cm
A= 28.26cm²
78.5cm² - 28.26cm² = 50.24cm²
Answer rounded to the nearest tenth: 50.2cm²
Hope this helps :)
d varies jointly with w and p and inversely with u
In your equation, use k as the constant of proportionality.
Answer:
huh?
Step-by-step explanation:
If D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.
What is proportion?A mathematical comparison of two numbers is known as proportion. If two sets of given numbers increase or decrease in the same ratio, the ratios are said to be directly proportional to each other, according to proportion.
How to solve this problem?Given that D varies jointly with w and p. Then it can be written as
D ∝ w × p ...(1)
Again D varies inversely with u.
Then, D ∝ 1/u ...(2)
From (1) and (2), D ∝ (wp)/u ...(3)
We can take k as the constant of proportionality.
So, (3) becomes, D = k(wp/u) = (kwp)/u
Therefore, if D varies jointly with w and p and inversely with u, it can be written as D = (kwp)/u, where k is the constant of proportionality.
Learn more about proportionality here -
https://brainly.com/question/12809482
#SPJ2
Vicky is renting an apartment.In addition to the first month’s rent, the landlord requires him to pay half of a month's rent as security-deposit and 40% of a month's rent for utility bills before moving in.The total amount he has to pay the landlord before moving in is $3800. What is monthly rent ?
Answer:
$2000Step-by-step explanation:
Let the monthly rent be x.
Then we have:
x + 0.5x + 0.4x = 38001.9x = 3800x = 3800/1.9x = 2000Monthly rent is $2000
Answer:
the answer to your question is $2000
In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 71 and a standard deviation of 7. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D.
Answer:
The lowest score on the final exam that would qualify a student for an A is 80.
The lowest score on the final exam that would qualify a student for a B is 74.68.
The lowest score on the final exam that would qualify a student for a C is 67.33.
The lowest score on the final exam that would qualify a student for a D is 62.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Mean of 71 and a standard deviation of 7.
This means that [tex]\mu = 71, \sigma = 7[/tex]
Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's.
This means that:
90th percentile and above: A
70th percentile and below 90th: B
30th percentile to the 70th percentile: C
10th percentile to the 30th: D
Lowest score for an A:
Top 10% receive A, which means that the lowest score that would qualify a student for an A is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 71}{7}[/tex]
[tex]X - 71 = 7*1.28[/tex]
[tex]X = 80[/tex]
The lowest score on the final exam that would qualify a student for an A is 80.
Lowest score for a B:
70th percentile, which is X when Z has a pvalue of 0.7, so X when Z = 0.525.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.525 = \frac{X - 71}{7}[/tex]
[tex]X - 71 = 7*0.525[/tex]
[tex]X = 74.68[/tex]
The lowest score on the final exam that would qualify a student for a B is 74.68.
Lowest score for a C:
30th percentile, which is X when Z has a pvalue of 0.3, so X when Z = -0.525.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.525 = \frac{X - 71}{7}[/tex]
[tex]X - 71 = 7*(-0.525)[/tex]
[tex]X = 67.33[/tex]
The lowest score on the final exam that would qualify a student for a C is 67.33.
Lowest score for a D:
10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 71}{7}[/tex]
[tex]X - 71 = 7*(-1.28)[/tex]
[tex]X = 62[/tex]
The lowest score on the final exam that would qualify a student for a D is 62.
helppppppppppppppppppppppppppppp
4*((7x-6)+(4x-3))=360
7x-6+4x-3=90
11x=99
x=9
∠ACD = (7x-6)=7*9-6 = 57°
Becky earned $21,280.08 last year. She earned the same amount each month. To the nearest penny, how much did she earn per month last year?
Need ASAP, please help!
========================================================
Explanation:
Segments DB and DC are the same length. This makes triangle BCD to be isosceles. Recall that the base angles of any isosceles triangle are congruent angles. The base angles are opposite the congruent sides.
So because DB = DC, this makes B = C the congruent base angles in question. Let's say they are x for now.
Also recall that for any triangle, the three angles always add to 180 degrees.
B+C+D = 180
x+x+44 = 180
2x+44 = 180
2x = 180-44
2x = 136
x = 136/2
x = 68
So angles B and C, of triangle BCD, are 68 degrees each.
This leads to angle BCD to be 68 degrees as well.
Now we'll turn to the Tangent-Chord Theorem. This says that the angle made between a chord and a tangent is the same measure as the inscribed angle that is opposite the chord.
In this case,
AB is the tangentDB is the chord we want to focus onangle ABD is the angle between the chord and tangentangle BCD is the angle opposite the chordSo because angle BCD is 68 degrees, so is angle ABD.
Suppose you have a student loan of $45,000 with an APR of 9% for 30 years. Complete parts (a) through (c) below.
A turtle is crawling up a hill that rises 6 feet for every horizontal change of 36 feet. Write the slope of the hill as a
fraction in simplest form.
9514 1404 393
Answer:
1/6
Step-by-step explanation:
The slope is the ratio of rise to run.
slope = rise/run = (6 ft)/(36 ft) = 6/36 = 1/6
The slope of the hill is 1/6.
The number of cell phone tower sites in the United States was 195,613 in
2006. By 2012, the number of cell phone tower sites had increased by 54.3%.
Find the number of cell phone towers in 2012. Round your answer to the
nearest whole number
Answer:
Step-by-step explanation:
195613(1+.543)
195613(1.543)
301831
Mrs. Hanley wants to put her 29 students into groups of 6 how many groups of 6 can she make if she puts any remaining students in the smaller group how many students will be in that group. Haley wants to put 29 students into groups of six how many of six can she make if she puts any remaining students in a smaller group how many students will be in
Answer: she can make 4 groups of 6 and there will be 5 left in the other group
Step-by-step explanation: because im right
what greater than 476 and less than 598
Answer:
Any numbers 477 to 597
I could pick 500 i mean its greater than 476 and less that 598.
Most likely I would pick 597 because its close.
What type of angle is this?
A. Straight angle
B. Supplementary
C. Complementary
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=57(0.4)^x
Answer:
Decay, 60%
Step-by-step explanation:
Remember that the exponential function is written in the form [tex]y=ab^x[/tex]. In this problem, a=57 and b=0.4. A function is considered a growth function when [tex]b>1[/tex]. Since 0.4 not greater than 1, this is an exponential decay function.
Now, to find the rate of decrease we can use part of the form [tex]y=a(1-r)^x[/tex].
[tex]1-r[/tex] represents the percentage decrease, in this case, 0.4. If that entire term is 0.4, we need to solve for [tex]r[/tex].
[tex]1-r=0.4\\r=0.6[/tex]
So, the rate of percentage decrease is 60%.
I hope this helps!
Margaret pays $580 per month to rent her apartment. at the beginning of the next year, the apartment complex is increasing its rent 5%. How much will Margaret pay each month to rent the apartment next year.
A $870
B $609
C $596
D $585
Mason bought c chocolates. Cameron bought 20 times as many chocolates as Mason. Write an expression that shows how many chocolates Cameron bought.
Answer:
20c is the expression
PLEASE HELP ME!!!!!!!!!!!!!!!!!
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.
Answer:
1.8 gallons
SEE NOTE BELOW*
Step-by-step explanation:
2x10x16=320
2x20x10=400
400+320=720
720÷400=1.8 gallons
NOTE* This would be painting the four walls. If you include the floor and ceiling:
2x16x20=640
720+640=1360
1360÷400=3.4 gallons
The least amount of paint needed to paint the walls of a room in the shape of a rectangular prism is 1.8 gallons (2 gallons approx).
What is rectangular prism?Actually, prisms get their name from the way their faces are shaped. Therefore, a rectangular prism is just a prism with rectangular faces. Although it is a closed, three-dimensional object, two rectangles serve as its foundation.
The formula to calculate the total surface area of a rectangular prism is given as,
TSA of rectangular prism = 2(lb + bh + lh)
Where, l is length, b is breadth and h is the height of the rectangular prism.
Calculation for the paint required for rectangular prism:
The area of the sides of prism to be painted is
Area A = 2×(length×height) + 2×(breadth×height)
Length = 20 feet
Breadth = 16 feet
Height = 10 feet
A = 2×(20×10) + 2×(16×10)
A = 720 sq. feet
Now, the paint need for painting 400 sq. feet is 1 gallon.
Thus, paint required for 720 sq. feet is,
=> 720 ft² / 400 ft² /gal = 1.8 gal
Therefore, for painting rectangular prism, the amount of paint required is 1.8 gal.
To know more about the prism, here
https://brainly.com/question/16803016
#SPJ2
Factor the expression using the GCF.
100 – 80
Answer:
The Greatest Common Factor (GCF) for 100 and 80, notation GCF (100,80), is 20.
Step-by-step explanation:
Answer:
20 gcf
Step-by-step explanation:
JCF the first 20 yan ata hehehheheheheheheh
13/10 ÷ 2/10 = ?????
Answer:
6.5
Step-by-step explanation:
13/10÷2/10= 13/10*10/2
cancel out the 10 and that leaves you with 13/1*1/2=13/2
simplify 13/2 and that leaves you with 6.5
Answer:
[tex]6\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{13}{10}[/tex] · [tex]\frac{10}{2}[/tex] (Cross out the tens) = [tex]\frac{13}{2}[/tex]
2/13 = 6 R.1 [tex]6\frac{1}{2}[/tex]
A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. The expression 10A + 6B, which represents the total number of people you can seat using A large tables and B small tables, is called a linear combination. For instance, 150 people could be seated using 6 large tables and 15 small tables. Use that expression to enter an equation in standard form that models all the different combinations of tables the restaurant could use. Then identify at least one possible combination of tables other than (6, 15).
The equation is . Another possible combination is
Answer:
15
Step-by-step explanation:
Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.
Answer:
two sides have the length of 7m
third side is 11m
Step-by-step explanation:
perimeter is the sum of all sides
let 'n' = length of congruent sides
let '2n - 3' = length of third side
25 = n + n + 2n - 3
25 = 4n - 3
28 = 4n
n = 7m
2(7) - 3 = 11m
Y = 5x + 4
Y = 3x+10
solve for the solution (x,y)?
Answer:
The solution (x,y) is (3,19).
Step-by-step explanation:
We are given two equations for y.
y = 5x + 4
y = 3x + 10
They are equal, which means that we can find x. So
5x + 4 = 3x + 10
2x = 6
x = 3
With x, we can find y:
y = 5*3 + 4 = 19
So the solution (x,y) is (3,19).
A car is traveling at a constant speed. Find the number of miles the car travels in 1 hour at the given rate of 135 miles in 3 hours.
Sixteen players participated in a tennis tournament. Three players will be awarded for first, second, and third prize. In how many different ways can first, second and third prizes be awarded?
Answer:
Total number of ways in which first, second and third prizes will be awarded = 560
Step-by-step explanation:
As given,
There are 16 players participated in a tennis tournament.
and 3 players will be awarded for first, second, and third prize.
As we know,
ⁿCₓ = [tex]\frac{n!}{x! (n-x)!}[/tex]
n = the number of items.
x = how many items are taken at a time.
As given, n = 16 , x = 3
⇒¹⁶C₃ = [tex]\frac{16!}{3! (16-3)!} = \frac{16!}{3! (13)!} = \frac{16.15.14.13!}{3! (13)!} = \frac{16.15.14}{3!} = \frac{16.15.14}{3.2.1} = \frac{3360}{6} = 560[/tex]
∴ we get
Total number of ways in which first, second and third prizes will be awarded = 560
Solve for y
2(3 + 3y) + y = 11
2(3 + 3y) + y = 11
First, apply the distributive property:
2(3 + 3y) + y = 11
6 + 6y + y = 11
6 + 7y = 11
Substract 6 from both sides:
6 - 6 + 7y = 11 - 6
7y = 5
Divide both sides by 7:
[tex]\dfrac{7y}{7} = \dfrac{5}{7}[/tex]
[tex]\boxed{y = \dfrac{5}{7}}[/tex]
Answer. The value of y = 5/7.How do you write 246% as a fraction or mixed number?
Answer:
246/100 as a fraction, and 2 46/100 as a mixed number..
Step-by-step explanation:
Answer: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
2 and 23/50
or as a simplified fraction 123/50
Step-by-step explanation:
SOMEONE PLZZ HELP, I HAVE A TEST AND DONT KNOW HOW TO DO THIS!!