Answer:
The algebraic expression is 80d
Step-by-step explanation:
Maria's earnings per day = $80
Number of days= d
Total earnings for d days:
80d
Where,
80 is earnings per day
d is number of days
The algebraic expression is 80d
Algebraic equation is
y= 80d
Where
y= total income earned in d days
The expression is different from am equation because of the equal to sign(=)
10. Three kinds of teas are worth $4.60 per pound, $5.75 per pound, and $6.50 per pound. They are to be
mixed together to get 20 pounds of tea worth $5.25 per pound. The amount of $4.60 tea used is to be equal
to the amount of the other two teas combined. How many pounds of each tea should be used?
Answer:
The mass of the $4.60/lb tea that should be used in the mixture is 10 lb
The mass of the $5.75/lb tea that should be used in the mixture is 8 lb
The mass of the $6.50/lb tea that should be used in the mixture is 2 lb
Step-by-step explanation:
The parameters of the question are;
The worth of the three teas are
Tea A = $4.60/lb
Tea B = $5.75/lb
Tea C = $6.50/lb
The mass of the mixture of the three teas = 20 lb
The worth of the mixture of the three teas = $5.25 per pound = $5.25/lb
The amount of the $4.60 in the mixture = The sum of the amount of the other two teas
Therefore, given that the mass of the mixture = 20 lb, we have in the mixture;
The mass of tea A + The mass of Tea B + The mass of Tea C = 20 lb
The mass of tea A = The mass of Tea B + The mass of Tea C
Therefore;
The mass of tea A + The mass of tea A = 20 lb
2 × The mass of tea A in the mixture = 20 lb
The mass of tea A in the mixture = 20 lb/2 = 10 lb
The mass of tea A in the mixture = 10 lb
The mass of Tea B + The mass of Tea C = The mass of tea A = 10 lb
The mass of Tea B + The mass of Tea C = 10 lb
The mass of Tea B = 10 lb - The mass of Tea C
Where the mass of Tea C in the mixture = x, we have;
The mass of Tea B in the mixture = 10 lb - x
The cost of the 10 lb of tea A = 10 × $4.60 = $46.0
The worth of the tea mixture = 20 × $5.25 = $105
The worth of the remaining 10 lb of the mixture comprising of tea A and tea B is given as follows;
The worth of Tea B + The worth of Tea C in the mixture = $105.00 - $46.00 = $59.00
Therefore, we have;
x lb × $6.50/lb + (10 - x) lb × $5.75/lb = $59.00
x × $6.50 - x × $5.75 + $57.50 = $59.00
x × $0.75 = $59.00 - $57.50 = $1.50
x = $1.50/$0.75 = 2 lb
∴ The mass of Tea C in the mixture = 2 lb
The mass of Tea B in the mixture = 10 lb - x = 10 lb - 2 lb = 8 lb
The mass of Tea B in the mixture = 8 lb
Therefore, since we have;
Tea A = $4.60/lb
Tea B = $5.75/lb
Tea C = $6.50/lb
The mass of tea A in the mixture = 10 lb
The mass of tea B in the mixture = 8 lb
The mass of tea C in the mixture = 2 lb, we find;
The mass of the $4.60/lb tea that should be used in the mixture = 10 lb
The mass of the $5.75/lb tea that should be used in the mixture = 8 lb
The mass of the $6.50/lb tea that should be used in the mixture = 2 lb.
x/4 + y/5 = 2 and x/2 + y = - 3. Solve for x and y
Answer:
A) x/4 + y/5 = 2
B) x/2 + y = - 3
Step-by-step explanation:
We multiply A) by -4 and B) by 2
A) -x - 4/5 y = -8
B) x + 2y = -6 then add A) and B)
1.2y = -14
y = 11 (2/3) = -11.6666666...
x + 2y = -6
x = -6 -2*-11.6666666
x = -23.3333332
163. The sum of an odd number and an even number is --
a) sometimes an even
b) always a prime number
c) always an odd number. d) always divisible by2
Answer:
C
Step-by-step explanation:
I would say C because,
Even + Even = Even.
Odd + Odd = Odd.
So simply, you can't have an even number if you add it to a odd.
Even + Odd = Odd
awnser.
c. aleays an odd number
Dose every positive real number
also have both a positive and negative cube root?
Answer:
Any real number will have only one real cube root. Hence the technicalities associated with the principal root do not apply.
Step-by-step explanation:
Simplifying non-perfect square roots [tex]\sqrt{48}[/tex]
The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers an area of one acre to a depth of one foot. An acre is 43,560 ft2. Find the volume in SI units of a reservoir containing 46.0 acre-ft of water.
Answer:
56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
Step-by-step explanation:
1 meter = 3.28084ft
1 acre = 43,560 ft²
Therefore, using our unit conversion, the volume in S.I units of a reservoir containing 46 acre- ft of water is calculated as :
46 acre - ft × (1 meter/3.28084ft) × (43,560ft²/1 acre) × (1 meter/3.28084ft)²
= 2003760/35.314670112
= 56740.15908m³
Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³
A farmland is 30cm long and 15cm wild what is the area of the farmland
Marco arranged the tiles in this way, and then wrote an expression based on his arrangement. What expression do you think Marco might have written?
Answer: 2(2a+b)^2
Step-by-step explanation:
4a+2b then squared which doubles it
What is 3X to the second power plus 4X -3+ negative 4X to the second power minus 2X -4 in polynomial form
Answer:
The polynomial form of the expression is: 25·X² + 2·X + 2.
Step-by-step explanation:
The expression that can be formed using the provided data is:
[tex](3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)[/tex]
Simplify the expression to get a result in polynomial form as follows:
[tex](3X)^{2}+(4X-3)+(-4X)^{2}-(2X-4)[/tex]
[tex]=9X^{2}+4X-3+16X^{2}-2X+5\\\\=(9+16)X^{2}+(4-2)X+(5-3)\\\\=25X^{2}+2X+2[/tex]
Thus, the polynomial form of the expression is: 25·X² + 2·X + 2.
help solve this for me pls
Answer:
x ( > or = ) 5/9
Step-by-step explanation:
● 2(1 + x) ( > or = ) 11 - 3x
● 2 + 2x ( > or = ) 11 - 3x
Add 3x to both sides
● 2 + 2x + 3x ( > or = ) 11 - 3x + 3x
● 2 + 5x (> or = ) 11
Substract 2 from both sides
● 2 + 5x -2 ( > or = ) 11 -2
● 5x (> or =) 9
Divide both sides by 5
● 5x/5 ( > or = ) 5/9
● x ( > or = ) 5/9
36. Find the circumference of a circle with a radius of 8 kilometers. Use 3.14 or for T.
37.Find the area of a circle with a diameter of 26 inches. Use 3.14 or for T.
Answer:
36. 58.34
37. 530.66
Step-by-step explanation:
36. 2x3.14x8=7.28x8=58.34
so 36=58.34
37.
3.14x26/2=3.14x13x13=530.66
please brainly
Let k(x) = 3(x-4) and m(x) = x^2 + 3x + 1. find k(x) + m(x)
Suppose you have 20 coins that total $3.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?
Answer:
Step-by-step explanation:
n + q = 20
.05n + .25q = 3.00
5n + 25q = 300
n + q = 20
5n + 25q = 300
-5n - 5q = -100
20q = 200
q = 10 quarters
n + 10 = 20
n = 10 nickels
(10 nickels, 10 quarters)
Point N is between M and R. If MN = 25 in, and NR = 12 in, then what is the length of MR?
Can someone please help to explain this?
Answer:
[tex]\frac{PQ}{DE}[/tex] = [tex]\frac{4}{6}[/tex]
Step-by-step explanation:
Given
Δ PQR ~ Δ DEF
Then the ratio of corresponding sides are equal
The corresponding letters in the names of the triangles gives the corresponding sides.
Thus PQ/DE, QR/EF, PQ/DF
In this case
[tex]\frac{PQ}{DE}[/tex] = [tex]\frac{4}{6}[/tex]
x+a=3/4 I don't know how to solve this and I need someone to help explain it to me.
Mr. Green's lawn mower holds 600 milliliters of gasoline in the tank. He just filled his 6 liter gas can at the station. How many times will he be able to fill his lawn mower tank from the gas can?
Answer:
10 times.
Step-by-step explanation:
Since 1 liter = 1000 milliliters, we can say that 600 milliliters is equal to 0.6 liters because 600/1000 = 0.6
Since the gas can holds 6 liters, and the lawn mower holds 0.6 liters, 6/0.6 = 10.
So, he can fill his lawn mower 10 times with the gas can
Mr Green can fill his lawn 10 times
the first step is to convert the milliliters to liters
600 milliliters to liters
= 600/1000
= 0.6 liters
the number of times can be calculated as follows
= 6/0.6
= 10
hence it will take Mr. Green 10 times to fill his lawn mower
please see the link below for more information
https://brainly.com/question/632986?referrer=searchResults
Select the correct answer.
Which graph represents the solution to this inequality?
-(127 + 8) < -21 + 11
OA. tt
-17
-15
-13
-11
-9
7
-5
+
-17
- 15
- 13
-11
-9
-7
-5
Oc.
+
-17
- 15
-13
- 11
-9
7
-5
C
-17
-15 -13
-11
-9
-7
-5
Answer:
C
Step-by-step explanation:
Given
- [tex]\frac{1}{4}[/tex] (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side
- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )
- 2 ≤ x + 11 ( subtract 11 from both sides )
- 13 ≤ x , thus
x ≥ - 13
Since x can equal - 13 then a solid circle at - 13 represents the solution
Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.
Then the graph representing the solution is C
Ummm sooo I’m really confused and it’s due tomorrow please help me
Answer:
75
Step-by-step explanation:
If the triangles are similar, it means the ratio between the two give sides is the same. As seen from the smaller triangle the ratio of the two top sides would be 16:50 or 8:25.
Since the first side of the bigger triangle (24) is three times 8 (it's ratio side), then the other side must be 3x25 = 75, which maintains the ratio 8:25 between the two sides (24:75).
Hope this helped!
What is the base 2 representation of 129?
Assuming 129 is given in base 10, notice that
129 = 128 + 1 = 2⁷ + 1
More clearly, we have
129 = 1•2⁷ + 0•2⁶ + 0•2⁵ + 0•2⁴ + 0•2³ + 0•2² + 0•2¹ + 1•2⁰
so that
129 = 1000 0001₂
(I put a space between each block of 4 bits for ease of reading)
If f ( n ) = n 2 - 2 n , then f (2) = 0. True False
Answer:
False
Step-by-step explanation:
..............
Answer:
True
Step-by-step explanation:
Determine the intercepts of the line. −5x+9y=−18
Answer:
try using desmos its a graphing calculator
Step-by-step explanation:
Answer:
x intercept = (3.6, 0)
y intercept = (0, -2)
Step-by-step explanation:
i did this on khan academy so it's easy
you're welcome
The level of various substances in the
blood influences our health. Here are
measurements of the level of phosphate
in the blood of a patient, in milligrams of
phosphate per deciliter of blood, made
on 6 consecutive visits to the clinic:
5.6, 5.2, 4.6, 4.9, 5.7, 6.4
What is the standard deviation for these
data?
A. .642
B. 5.4
O. 32.4
D. 177.02
Answer:
A
Step-by-step explanation:
5/8-(1/4) to the 2 power
Answer:
0.5625
Step-by-step explanation:
what should be added m(m-n) to get square ofm(m-n)
Answer: m²-mn
Explanation: multiply the letter outside the brackets by everything inside the brackets, so, m×m = m² and m×n = mn, altogether it is m²-mn.
Owen made 60% of the shoys he attempted during his hockey practice he made 18 shots how many shots did owen attempt during hocjey pratice
-5 - 1 =
please help me and it isnt -4
Answer:
the answer is -6
Step-by-step explanation:
if you have -5 and you take away another number, you end up with -6
Answer:
-6
Step-by-step explanation:
-5 - 1 ISNT -4
-5 + 1 IS -4
Find sets of three consecutive odd integers whose sum is between 100 and 115
Answer:
33, 35, 37
Step-by-step explanation:
Consecutive: in a row
Odd: any number not evenly divisible by 2
Integers: Whole numbers
Sum: the answer to an addition problem
So, 100 is close to 30*3, so start there and move on. It has to be a little more, so start at 31, 33, and 35, but it's only 99, so you need something a little more. Check 33, 35, and 37 to be sure, and you've got your answer!
In how many ways can the letters in the word spoon be arranged?
24
30
60
120
Explanation:
There are 5 letters, so there would be 5! = 5*4*3*2*1 = 120 different permutations; however, there are 2 letter 'o's meaning we have double counted. To correct this, divide by 2 to get 120/2 = 60.
If there was a way to tell the two 'o's apart, then the answer would be 120.
The total number of ways the letter in the word "spoon" can be arranged is 120 and this can be determined by using the given data.
Given :
Word -- Spoon
The following steps can be used in order to determine the total number of ways the letter in the word spoon is arranged:
Step 1 - According to the given data, the word is 'spoon'.
Step 2 - The total number of letters in the word 'spoon' is 5.
Step 3 - So, the total number of ways the letter in the word "spoon" can be arranged is:
[tex]= 5 \times 4\times 3\times 2 \times 1[/tex]
Step 4 - Simplify the above expression.
= 120
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/1216161
What is the volume of a rectangle prism 11inches long, 6 inches wide and 3 inches high
Answer:
198 inches^3
Step-by-step explanation:
Volume of a rectangular prism = Length × width × height
Length = 11 inches
Width = 6 inches
Height= 3 inches
Volume of a rectangular prism = Length × width × height
= 11 inches × 6 inches × 3 inches
= 198 inches^3
The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches