Answer:
[tex]10d + 40r \leq 450[/tex]
Step-by-step explanation:
Given
[tex]Savings = 450[/tex]
[tex]Dana\ Cooks, d = 10[/tex]
[tex]Restaurant, r = 40[/tex]
Required
Represent this as an inequality
When Dana cooks;
[tex]Cost\ per\ meal = 10[/tex]
[tex]Cost\ per\ d\ meals = d * 10[/tex]
[tex]Cost\ per\ d\ meals = 10d[/tex]
At Restaurant
[tex]Cost\ per\ meal = 40[/tex]
[tex]Cost\ per\ r\ meals = 40 * r[/tex]
[tex]Cost\ per\ r\ meals = 40 r[/tex]
Add these two results:
[tex]Result = 10d + 40r[/tex]
To represent as an inequality, the above result must be less than or equal to Dana's total savings
i.e.
[tex]10d + 40r \leq 450[/tex]
The perimeter of a rectangle is 40 m. The length is 4 m more than three times the width. Find the length and the width of the rectangle.
Answer:
Width = 4 m, Length = 16 m
Step-by-step explanation:
Perimeter = 40
Width = x
Length = 3x + 4
x + x + 3x + 3x + 4 + 4 = 8x + 8
40 - 8 = 32
32/8 = x
x = 4
Width = 4
Length = 16
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Answer:
8748
Step-by-step explanation:
a^5b^-6
when replacing the variables with their values :
3^5 -6^2
3^5 = 3*3*3*3*3 = 243
(-6)^ 2 = 36
243 * 36 =
8748
The manufacturer of pencils spends $0.05 to make each pencil and sells them for 0.25. The manufacturer also has fixed
costs each month of $2000. Find the number of pencils x that the manufacturer needs to sell in order to break even
Answer:
x=10000
Step-by-step explanation:
The break even point occurs when costs equal revenue. Write the break-even formula and solve to find
C(x)0.05x−20000.2xx=R(x)=0.25x=2000=10000.
The rate of auto thefts doubles every 5 months.
(a) Determine, to two decimal places, the base b for an exponential model y = Abt of the rate of auto thefts as a function of time in
months.
(b) Find the tripling time to the nearest tenth of a month.
months
I think first one is the answer
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The value of -31.45/-3.21 is around?
fill in the table using the function rule: y=1 + 4x
Answer:
13, 25, 37, 41
Step-by-step explanation:
By plugging each x value given for x, you are able to solve for y. Just multiply x by 4 and add 1.
Is the following number an integer?
30/6
Answer:
NO ! For 30, the answer is: No, 30 is not a prime number. The list of all positive divisors (i.e., the list of all integers that divide 30) is as follows: 1, 2, 3, 5, 6, 10, 15, 30.
Step-by-step explanation:
A candy store sells mints in 14, 12 , and 34 lb packages. John purchases several packages of each weight.
What is the weight of 6 packages of the 14 lb package?
Answer:
84 lbs
Step-by-step explanation:
Multiply 14*6 to get the total weight
Mr.Harris owns a bubble machine that he uses for different school events. The bubble solution contains 3/4 cup of corn starch for every 2 cups of water.
What is the rate in cups of corn starch pero cup of water
A.3/8
B.2/3
C. 1 1/2
D. 2 2/3
Answer:
3/8
Step-by-step explanation:
Divide 3/4 into 2. Got it right on iready
There are 6 black marbles, 14 blue marbles, 8 white marbles,
and 12 clear marbles in a bag. If Andy chooses a second marble
without replacing the first marble, what is P(black, then clear)?
Answer:
3/65 = 0.046 = 4.6%
Step-by-step explanation:
Notice that the total number of marbles is:
6 + 14 + 8 + 12 = 40
Then , the probability of getting a black marble first is 6/40 = 3/20
Now, since the experiment is without replacing, he is left with a total of 39 marbles in the bag, and the probability of getting a clear one is now 12/39
The total probability is the product of these two:
(3/20) x (12/39) = 3/65 = 0.046 = 4.6%
A rectangle is 3 times as long as it is wide. The perimeter is 24 feet. Find the dimensions.
Answer:
Width is 3 units, The Length is 9 units.
Step-by-step explanation:
Three times as much as 3, or 9, is how you find the lengths. This being- 3+3=6 and 9+9=18, 6+18=24, which is the perimeter, therefore 3 and 9 are the dimensions.
-17 = - 10 + x
Help me please
Answer:
x = -7
Step-by-step explanation:
Isolate x by adding 10 to both sides:
-17 = -10 + x
-7 = x
So, x = -7
what is the radius of 16\pi
write a number where the digit 1 greater than the digit 7
1000-? i think that works
A jar contains 68 marbles, of which 26 are blue, 29 are red, and the rest are green. What is the ratio of green marbles to all marbles?
18. f-g4, if f =3 and g = -5=
Answer:
23
Step-by-step explanation:
Step 1:
3 - -5 (4)
Step 2:
3 - (-20)
Step 3:
3 + 20
Answer:
23
Hope This Helps :)
Please help me with these two questions.
Answer:
gooooooooood
Step-by-step explanation:
I kie that
Bucky received $100 for his birthday. How many hours can he jet ski on Lake Smellsomemore if costs $15
per hour to rent a jet ski and he also has to spend $10 on an inflatable life jacket?
Answer:
b hours
Step-by-step explanation:
100 minus the 10 on the jacket equals 90. 90 divided by 15 is 6
Given the points A(-5, -6) and B(8, 2), if C is the midpoint of segment AB, find the coordinates of the midpoint of segment CB
You are buying tickets to a Star Wars Convention. The tickets cost $10 per adult and $3 per child. Parking is a one-time fee of $5. If you
purchased two adult tickets, a, and the total cost was $109, how many child tickets, c, were purchased?
Answer:
28 children tickets
Step-by-step explanation:
$109 for the whole cost
bought 2 adult tickets that costed 10$ each and payed 5$ for parking fee
add them together 25$
109-25 =84
84/3 =28
Order from greatest to least 1.202;1.29;1.02
Answer:
1.29, 1.202, 1.02
Step-by-step explanation:
What is the property of (4y + 1) x 0 =0
Answer: Zero Property
Step-by-step explanation:
Jean masear is a saw operator in a lumber mill. He works 40 hours a week and earns $630 per week. What is his hourly pay rate
Answer:
[tex]\boxed {\tt \$15.75 \ per \ hour}[/tex]
Step-by-step explanation:
We want to find Jean's hourly pay rate. In other words, his pay per hour.
We can find the pay rate by dividing the money he is paid by the number of hours worked.
[tex]pay \ rate =\frac{money \ paid }{hours}[/tex]
He is paid $630 for 40 hours.
[tex]money \ paid= $630 \\hours= 40\ hours[/tex]
[tex]pay \ rate = \frac{\$630}{40\ hours}[/tex]
Divide.
[tex]pay\ rate = \$15.75 / hour[/tex]
His hourly pay rate is $15.75 per hour.
Craig has acollection of 220 marbles. He lets his friend have 1/4 of his collection and sells 1/5 of his collection to the novelty store. He takes 15 marbles home to give to his brother. how many marbles remain in Craig's collection?
Answer:
he would have 106
Step-by-step explanation:
hope it helps
Which of the following trinomials could represent the product (x + m)(x + n) if m = 5 and n = -7? A x2 + 2x - 35 B x2 - 12x - 35 Cx2 + 35x + 2 D x2 - 2x - 35
Hey there! I'm happy to help!
Let's plug in these values.
(x+5)(x-7)
We use the FOIL method to multiply the two.
We multiply the Firsts.
x·x=x²
We multiply the Outsides.
-7·x=-7x
We multiply the Insides.
5·x=5x
And we multiply the Lasts.
-7·5=-35
We combine these all.
x²-7x+5x-35
x²-2x-35
Have a wonderful day! :D
27. Give the perimeter of the rectangle below in
simplest form.
Answer:
The permeter will be 26 units
Step-by-step explanation:
First to find this you need to know what the value of x is to do this I will use the equation 3x - 7 = x + 2
1. add seven to both sides leaving 3x = x + 9
2. Then subtract the 1x from both sides leaving 2x = 9
3. Then divide 9 by 2 which will be 4.5, x = 4.5
Then just plug 4.5 into each x value 4.5 + 2 and 3(4.5) - 7
1. 4.5 + 2 = 6.5
2. 3(4.5) - 7 13.5 - 7 = 6.5
The perimeter of the rectangle below in simplest form will be 4(x - 3).
Length of the rectangle = 3x - 7
Width of the rectangle = x+2
The perimeter of a rectangle is given as 2(length + width). The perimeter of the rectangle given will then be:
= 2(length + width)
= 2(3x - 7) + 2(x + 2)
= 6x - 14 + 2x + 4
= 4x - 12 = 4(x - 3)
Therefore, the perimeter of the rectangle in simplest form will be 4(x - 3).
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James has 1,836 marbles. He decides to divide them equally among 23 boxes. How many marbles will James have left over?
Answer:
79.8260869565
Step-by-step explanation:
When dividing 1,836 by 23= 79.8260869565
A footballer scores in one out of five matches. What percentage of the matches does the footballer score in?
Answer:
20%
Step-by-step explanation:
100 divided by 5 =20 20x1=20
what is the answer to
5 1/6 times ( -2/5)
Answer:-31/15
Step-by-step explanation: step 1: make both fractions improper
step 2: multiply numerator and denominator 31/6 x -2/5= -62/30
step 3: simplify -31/15
What is the coefficient of the x2 term of the algebraic expression 2x4 + x2 - x + 7
Step-by-step explanation:
2x⁴ + x² − x + 7
= 2x⁴ + 1x² + -1x + 7
The coefficient of the x² term is 1.