Answer:
We have the equation:
C(x) = 10 + 3.50*x
x represents the number of pizzas she buys, x only can take whole values, so we must have x ∈ Z
This means that this relation is discrete because there are only some values of x avaible, and thus there will be only some values of C(x) avaible.
She wants to buy at least 5 pizzas, and no more than 9, then the domain will be:
5 ≤ x ≤ 9
Or we could write the domain as:
{5, 6, 7, 8, 9}
This means that the possible costs will be:
C(5) = 10 + 3.50*5 = 27.50
C(6) = 10 + 3.50*6 = 31
C(7) = 10 + 3.50*7 = 34.5
C(8) = 10 + 3.50*8 = 38
C(9) = 10 + 3.50*9 = 41.50
Then the range is:
{27.50, 31, 34.5, 38, 41.50}
What is the 93rd term of the arithmetic sequence-11,-7,-3
Answer: 361
Step-by-step explanation: 4(the change) times 93 (the term u want) minus 11 (your starting number/term)
can you help me? i don’t understand
angle1 + angle2 = 180
[tex]4x + 20 + x + 20 = 180[/tex]
[tex]5x + 40 = 180[/tex]
[tex]5x = 180 - 40[/tex]
[tex]5x = 140[/tex]
[tex]x = \frac{140}{5} [/tex]
[tex]x = 28[/tex]
2 balloons and 3 cakes cost $26.
4 balloons and 4 cakes cost $40.
What's the cost of 1 balloon?
What's the cost of 1 cake?
Answer:
The cost of one balloon is 4 dollars
the cost of one cake is 6 dollars
Step-by-step explanation:
The way I did it was by substituting different numbers and seeing if they equaled forty or 26.
my thought process:
1 balloon= 5
1 cake= 10
that doesnt work for 2 balloons and 3 cakes
1 balloon=5
1 cake=5
that works for 4 balloons and 4 cakes but not 2 balloons and 3 cakes
1 balloon=4
1 cake=7
I'm sorry I'm way too tired to finish this 0-0 anyways yeah that's the correct answer :)
A restaurant owner plans to use x tables seating 4, y tables seating 6, and z tables seating 8, for a total of 20 tables. When fully occupied, the tables seat 108 customers. If only half of the x tables, half of the y tables, and one-fourth of the z tables are used, each fully occupied, then 46 customers will be seated. Find x, y, and z
Answer:
x = 10, y = 6 and z = 4
Step-by-step explanation:
From the question, we can form simultaneous equations of 3 variables.
Since the total tables is 20, then
x + y + z = 20
If fully occupied, x tables seating 4 will be occupied by 4x customers, y tables seating 6 will be occupied by 6y customers and z tables seating 8 will be occupied by 8z customers. Since we are told that if they occupy the tables with their seating, we will have a total of 108 customers. This gives the equation
4x + 6y + 8z = 108.
From th last statement "if only half ..." We can form the following equation:
(4x)/2 + (6y)/2 + (8z)/4 = 46.
From these we have the equations (after simplifying) to be:
x + y + z = 20 -------------- 1
2x + 3y + 4z = 54 ----------- 2
2x + 3y + 2z = 46 ----------- 3
In order to solve these equations, let's subtract eqn 3 from 2, we have:
2z = 8
z = 4
Putting z = 4 in eqn 1 and eqn 2
We have:
x + y = 16 ----------- 4
2x + 3y = 38 -------- 5
To solve these eqns, multiply eqn 4 by 2 and eqn 5 by 1.
4 x 2 : 2x + 2y = 32 ----------- 6
5 x 1 : 2x + 3y = 38 ------------ 7
Let's subtract eqn 6 from eqn 7, we have:
y = 6. Substituting y = 6 and z = 4 in eqn 1, we have x = 10.
Therefore, x = 10, y = 6 and z = 4
Can y’all please help me with this y=-16 + 29t+ 6
Answer: m=29
Step-by-step explanation:
Are these triangles congruent ?
And what is the theorem ?
I will give a brainlist for the correct answer :)
Answer:
Step-by-step explanation:
These two are not congruent. The angle in both triangles must be included inside the two given lines.
So the answer is not congruent.
please help me asap
Answer:
Not sure what number sense is, but 3 is the answer.
Step-by-step explanation:
Answer:
the answer would be 3.
Step-by-step explanation:
5 times 3 is 15 plus 40 is 55. Hope this helps!!! Please let me know if i'm right!!!
Shopping at Kohl's, Lisa buys her children four shirts and three pairs of pants for $85.50. She returns the next week and buys three shirts and five pairs of pants for $115.00.
Answer:
Step-by-step explanation:
x=shirt
y=pants
a) First week 4x+3y=85.50
b)3x+5y=115.00
C)
D) This point represent when the price is the same but the number of shirt are different for the first and second week.
30 feet is to 40 feet as 12 feet is to 16 feet
Answer:
I don't know what to do but
30 feet is to 40 feet is plus 10, 12 feet is to 16 feet is plus 4. I think if this wrong I am so sorry
Step-by-step explanation:
Help! Which is the right one?
Answer:
it depends on the rest of the equation
Step-by-step explanation:
sss is used for using 3 sides to determine if the triangles are congruent, asa uses an angle then a side then an angle, sas uses a side then an angle then a side, ssa uses a side, then another side, then an angle
Hurry plzzzz!! It’s for a test and I’m stuck
Answer:
im pretty sure it is 2m + 10
bc the min is going up by 2 every time and the gallons are going up by 10 each time
Step-by-step explanation
i commented b4 i actually answered it bc it wouldnt let me sry
Which step(s) would create equations so that the coefficients of one of the variables are
opposites?
(A) Multiply the first equation by 7.
Multiply the second equation by 3.
(B) Multiply the first equation by -2.
Multiply the second equation by 4.
(C) Multiply the first equation by 2.
(D) Multiply the second equation by 4.
Which number is NOT written in scientific notation?
Edward deposited $10,000 into saving accounts 2 years Ago. The simple interest rate is 2%. How much money did Edward earn in interest.
Answer:
the answer is someone else can
Answer:
S = P (r)(t)
Step-by-step explanation:
S = Simple interest
P = Principle
r = rate
t = time
S = (10000 x 2%)x2
Work brackets first 10000 x 2% = 200
then 200 x 2 = 400
S = 400
urgent!! please answer correctly no trolls pls
Answer:
127 degrees
Step-by-step explanation:
96+31+x=180
x=53
180-53=m<1
127m<1
Determine the value of x.
NEED HELP ASAPInstructions: Find the length of the missing sides. Round your answers to the
nearest tenth. (Hint: Always make sure to label your triangle first with your
reference angle)
Answer:
[tex]x = 9.4[/tex]
[tex]y = 17.7[/tex]
Step-by-step explanation:
Given: The figure
Required: Find x and y
The relationship between length x, length 15 and angle 32 is as follows:
[tex]tan \theta = \frac{opp}{adj}[/tex]
So, we have:
[tex]tan\ 32= \frac{x}{15}[/tex]
Cross multiply:
[tex]x =15*tan\ 32[/tex]
[tex]x = 15 * 0.6248693519[/tex]
[tex]x = 9.3730402785[/tex]
[tex]x = 9.4[/tex] --- approximated
Similarly:
The relationship between length y, length 15 and angle 32 is as follows:
[tex]cos \theta = \frac{adj}{hyp}[/tex]
So, we have:
[tex]cos\ 32= \frac{15}{y}[/tex]
Cross Multiply:
[tex]y * cos\ 32= 15[/tex]
Solve for y
[tex]y = \frac{15}{cos\ 32}[/tex]
[tex]y = \frac{15}{0.84804809615}[/tex]
[tex]y = 17.6876760506[/tex]
[tex]y = 17.7[/tex] --- approximated
You have saved $1350 and are now going to invest it. The account you have chosen will compound continuously and after 10 years you will have $1462. What interest rate will the account give you?
Answer:
The account interest rate is 0.80%
Step-by-step explanation:
A=P(1+r/100)^10
1462=1350(1+r/100)^10{divide both sides by 1350}
1462/1350=(1+r/100)^10{find the 10th root of both sides}
1.00800=1+r/100{multiply through by 100}
100.800=100+r
r=100.800-100
r=0.80%
You compare the happiness of people forced to smile with those of people forced to frown. Both groups have the same number of participants. The mean happiness level in the smile group is 20. The mean happiness level in the frown group is 19. The standard deviation of both groups is 20. The effect size is:_________
Answer:
0.05
Step-by-step explanation:
The Effect size = (Difference in Means) / (Standard deviation)
= (20 - 19) / 20
= 1/20
= 0.05
find the slope of the line that contains (2,5) and (5,3)
Answer:
the slope is -2/3 hope that helps
At time T equals zero, water begins to drip out of the pipe into an empty bucket. After 42 minutes, there are 6 inches of water in the bucket. Right Ellen air function rule to model how many inches of water W are in the bucket after any number of minutes T.
the values of 'm' and 'b' are 0.5 and 0 respectively.
Step-by-step explanation:
Need Help this is my test! I will mark you as brainliest if you answer!!!
The relationship between the number of hours traveled and the number of miles traveled on a
family road trip is graphed below.
750
15. What is the ratio of hours to miles?
675
600
525
16. How many miles could the family travel
in a period of 12 hours?
450
MILES
375
300
17. About how many hours will it take the family
to travel 700 miles?
225
150
75
Maneuvering the Middle LLC, 2015
1
2
8 9
3 4 5 6 7
TIME (HOURS)
Answer:
15) The ratio of hours to miles is 1 hour to 75 miles; 1/75
16) They will have traveled 900 miles.
17) It will take them around 9 hours.
Step-by-step explanation:
15) Finding the unit rate of the trend (which in this case I considered to be line) can be done by finding the slope and simplifying it. There is a constant linear slope in this graph so it was evident that as the x-values increased by 1, the y-values increased by 75. All you had to do was convert the values into ratio form which would be 1/75. The 1 should remain "numerator" and the 75 as denominator because it is the hour-to-mile ratio (the units were listed in thw instructions in the chronological order in which they were to be answered in ratio form; 1 hour to 75 miles).
16) You can set up an equivalent-ratios equation. Because we know that the unit ratio is 1 hour to 75 miles, and we were given the value of 12 hours, we can set up the equation like this: 1/75=12/x. I would then multiply the 75 miles by 12 so that the ratios will be proportionate. This gives me 900 miles. Now I know, based on the ratio 12 hours to 900 miles (12/900), that if the family travels for 12 hours, they will have traveled 900 miles.
17) We can do the same thing as we did in number 16. We just have to switch the value we use in the second ratio. This means that the equivalent-ratios equation will look like 1/75=x/700, because 700 miles is our given value as opposed to a value with a unit of hours, and miles are the denominators in these ratios. Now we have to see how many times 75 goes into 700 to figure out what to multiply the 1 by to get our proportionate ratios. We have to divide 700 by 75 which is roughly 9 (rounded down from 9.3). The ratio now reads: 1/75=9/700. This means that it will take the family around 9 hours to drive 700 miles (9 hours to 700 miles was the ratio).
pls answer corectly
ignore the teacher in the backruond
let Q equal five at an angle of 45° in our equals 16 at an angle of 300° what is vector Q minus R
Answer:
D. 18.0
Step-by-step explanation:
edge
The value of |q-r| will be 18 for the given two vectors q and r.
What is vector?A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation.
Given, |q| = 5 at an angle of 45° and |r| = 16 at an angle of 300°.
Let OA =|q|
OB = |r|
BA = |q|-|r|
Hence ∠AOB = 45°+(360°-300)
∠AOB = 45°+60°
∠AOB = 105°
Given |q| = 5, |r| = 16
The Cosine Rule can be used in any triangle to relate all three sides to one angle.
Now using the cosine rule
|q-r| = √(16)²+(5)²-2×16×5×cos105°
|q-r| = 18
Learn more about vectors here:
https://brainly.com/question/13322477
#SPJ1
Need help plz very much
Answer:
3
Step-by-step explanation:
Remember that when we are dividing two exponents with the same base (here, it's 13), we can subtract the values of the powers:
[tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
So, here, we have [tex]\frac{13^{10}}{13^7}[/tex] , so we subtract 7 from 10:
[tex]\frac{13^{10}}{13^7}=13^{10-7}=13^3[/tex]
Thus, 3 should go in the box.
if john is 13 what will he be in 63 years
Answer:
76
Step-by-step explanation:
Answer: 76
Step-by-step explanation: may be dead
A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?
Slope for (5,-2) (2,1)
Answer:
-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
(1--2)/(2-5)
3/-3
-1
A study of the career plans of young women and men sent questionnaires to all 722 members of the senior class in the College of Business Administration at the University of Illinois. One question asked which major within the business program the student had chosen. The researcher examined the relationship between gender (men/women) and chosen major. The SPSS p-value was 0.0027. The conclusion of the statistical test is:
Answer: statistically significant
Step-by-step explanation:
The p-value of a statistical test tell us the conclusion to our hypothesis. When the result of the p-value lies between 0.27 it means there is a 27% chance of it occurring, when it is at 0.02 it means there is a 2% chance of it occurring. When it lies between 0.0027 it means there is 0.27 chance of it occurring this becomes statistically significant as this won’t have much changes or effects on the hypothesis. So what this means is there is chance it won’t occur.
K mola ofkg o okdgmbo9k
Answer: c
Step-by-step explanation:
