The book store is having a sale. Every book is $5 off, regardless of the original price.
The sale price for every book is $5 less than the original price.
Let x = original price
Let y = sale price
Which equation represents this situation?
A. y = × + 5
B. y = × - 5
C. y = 5x
D. y = × ÷ 5
Answer:
y=x-5
Step-by-step explanation:
sale price (y) is equal to the original (x) minus five dollars
Answer:
y = x - 5
Step-by-step explanation:
I took the test on A P E X
write the value of 50 times the sum of 64 and 36
Answer:
500 :)
Step-by-step explanation:
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)
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
What is the product of (9)(-9)(-1)? -
81
-1
1
81
Answer:
81
Step-by-step explanation:
Answer:
D.81
Step-by-step explanation:
happy chrismas every one
plz mark me brainliest
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.
How many solutions are there to: 8x + 7 = 7 + 8x.
Answer: X make the equation true
Step-by-step explanation:
25 points for correct answer and giving brainliest
Answer:
y=20x + 4
x = 6 (max amount)
20(6) = 120
120 + 4 = 124
Max of 124.
y=20(0) + 4
y = 4
Min of 4.
Range
4<y<124 ; {4, ... , 124}
G
Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes for preheating) how many cookies did Amy make?
Determine the value of x.
An insurance company offers a term life insurance policy with a renewable premium. The first year premium is $900. If the premiums increase 5.5% each year, how much will her premium be in 7 years? A $1,286 B $1,241 C $1,308 D $1,416
Answer:
The answer is B
Step-by-step explanation:
If first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
An insurance company offers a term life insurance policy with a renewable premium.
The first year premium is $900
The premiums increase 5.5% each year,
[tex]A=Pe^r^t[/tex]
5.5%=5.5/100 =0.055
[tex]A = 900(e)^0^.^0^5^5^\times^7[/tex]
[tex]A=900e^0^.^3^8^5[/tex]
A=900×1.46
A=$1308
Hence, if first year premium is $900 and the premiums increase 5.5% each year then the premium be in 7 years is $1308
To learn more on Percentage click:
https://brainly.com/question/24159063
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Any help please thank you I appreciate it
Is credit union the heights rate ? Can anyone help me get the answer
Solve the system of equations.
- 52 + 2y = 9
y=73
T =
y =
Show Calculator
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
100 points! help please I need this
Answer:
5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)
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
two football players start running towards each other each other from the opposite ends of a 100- yard football field. The faster player runs at a rate of 30 feet per second. The slower player runs 20 feet per second. After how many seconds will they collide
Answer:
600
Step-by-step explanation:
Multiply both numbers by 12.
240
360
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.
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
What is tan(x) equal to?
1
2
sin(x)
cos(x)
sin(x)/cos(x)
Answer: sin(x) / cos(x)
Step-by-step explanation: This is just a trigonometric identity you should have memorized :)
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
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
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 box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?
What is the cubic Yardage of a 60'X40'X6"
thick lab?
Answer:
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Step-by-step explanation:
harrison spent 1 and 1/2 hours hiking 3/4 hours swimming and 1 1/3 hours fishing during his last camping trip. in total, how many hours did he spend doing there?
Answer:
5 11/12 hours
Step-by-step explanation:
Make your common denominators 12. then when you add up you get 5 11/12.
Hope this helps and good luck :)
Which of the following is a linear function?
A
y=2/x + 11
B. 2
y=x + 6
C
y=1/2 (x-9)
Answer:
y=x+6
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be
0
or
1
for each of its variables. In this case, the degree of variable
y
is
1
and the degree of variable
x
is
1
.
K mola ofkg o okdgmbo9k
Answer: c
Step-by-step explanation:
Find the value of c -(x-5)(x+c)=x^2+2x-35
Answer:
Erm
Step-by-step explanation:
I think not
Answer:
c= ( 2 x + 7 ) ( x − 5 ) / 6 − x
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
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%