Answer:
There are 12 inches in a foot 42/12(ft)Answer:
3.5
Step-by-step explanation:
42/12=3.5
1. You and 3 friends go out to Baskin and Robbins. Each buy ice cream for $5, a cookie = $3, and
a drink = $2, but you do not buy a drink.
Write an expression to find the total cost at Baskin and Robbins. THEN find the total cost.
Expression
Total Cost
Evaluate the expression 3a/b - b/a for a=-1 and b=4.
Answer:
-1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
3a/b - b/a
a = -1, b = 4
Step 2: Evaluate
Substitute in variables: 3(-1)/(4) - (-1)/4Multiply: -3/4 - (-1)/4Simplify: -3/4 + 1/4Add: -2/4Simplify: -1/2how many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 and height 1 1/2 inches?
Answer: 360
Step-by-step explanation:
Given
the side length of the cube [tex]a=\frac{1}{4}\ inch[/tex]
The dimension of the box is [tex]1\times3 \frac{3}{4}\times 1 \frac{1}{2}=1\times\frac{15}{4}\times\frac{3}{2}\ inch^3[/tex]
the volume of each cube [tex]=a^3=(\frac{1}{4})^3[/tex]
No. of cubes that can be fit into the box [tex]=\dfrac{\text{vol. of box}}{\text{vol. of each cube}}[/tex]
[tex]\Rightarrow \dfrac{1\times \frac{15}{4}\times\frac{3}{2}}{\frac{1}{4}\times\frac{1}{4}\times\frac{1}{4}}=360[/tex]
Therefore 360 cubes can be fit into the box
find the measure of angle 1
8x-4 and 6x+8
A. 136 degrees
B. 28 degrees
C. 44 degrees
D. 6 degrees
Answer:
c) 44°
Step-by-step explanation:
the angles labeled '8x-4' and '6x+8' are equal because they are corresponding; we can solve for 'x' by setting them equal to each other
8x - 4 = 6x + 8
2x - 4 = 8
2x = 12
x = 6
substitute 6 for 'x' in '6x+8'
6(6) + 8 = 36 + 8 = 44°
The owner of a grocery store wants to mix two types of candy together to make 15 lbs that he he can sell for $5.00 per lb. He wants to use chocolate candy's that he sells for $7:00 a pound and sugar candies that he sells for 2.00 per pound. How many pounds of each should the owner use.
Answer:
9 pounds of chocolate and 6 pounds of sugar candies
Step-by-step explanation:
Let's define the variables:
C = pounds of chocolate candies used.
S = pounds of sugar candies used.
We know that he wants to make a total of 15lb, then:
C + S = 15
We also want that the price per pound to be equal to 5$.
This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.
C*$7.00 + $2.00*S = $5.00*15
Then we have a system of equations:
C + S = 15
C*$7.00 + $2.00*S = $5.00*15
To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:
C = 15 - S
now we can replace that in the other equation:
(15 - S)*$7.00 + $2.00*S = $5.00*15
Now we can solve this for S.
$105 - $5.00*S = $75
$105 - $75 = $5.00*S
$30 = $5.00*S
$30/$5 = S = 6
Then there are 6 pounds of sugar candy, and we can use the equation:
C + S = 15
C + 6 = 15
C = 15 - 6 = 9
There are 9 pounds of chocolate candy in the mix.
Answer:
9 pounds of chocolate candies, 6 pounds of sugar candies.
Step-by-step explanation:
We can set the amount of chocolate candies to x and the amount of sugar candies to 15 - x.
Our equation is:
7x + 2(15 - x) = 5 * 15.
Simplified:
7x + 30 - 2x = 75.
x = 9.
9 pounds of chocolate candies.
15 - 9 = 6.
6 pounds of sugar candies.
Tristian earns 9.50 per hour at his job. Last month he earned 893. Find the number tristian worked last month?
Answer:
94 hours
Step-by-step explanation:
893/9.50
Team A and Team B play in a competition.
Team A has twelve more points than Team B.
Team A has four times as many points as Team B.
How many points does each team have?
Team A: Team B:
Answer:
Team A has 16 points
Team B has 4 points
Step-by-step explanation:
let A = 12 + B
also, let A = 4B
therefore, since A = A we can say that 12 + B = 4B
12 + B = 4B
12 = 3B
B = 4
A = 12 + 4 or 16
Find the 8th term of the geometric sequence 7, 28, 112, ...
What is the value of sin(A)?
B
Y
A
10
6
Х
8
N
Answer:6/10
Step-by-step explanation:
The value of sin(A) is 0.6 or about 36.87°.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
we are given that;
The two triangles
Now,
To find the value of sin(A), you need to use the sine function formula, which is:
sin(A) = opposite/hypotenuse
The opposite side of angle A is YN and the hypotenuse is AN. You can use the Pythagorean theorem to find the length of AN:
AN 2 = AY 2 + YN 2 AN 2 = 8 2 + 6 2 AN 2 = 64 + 36 AN 2 = 100 AN = √100 AN = 10
Therefore, sin(A) = YN/AN = 6/10 = 0.6
You can also use a calculator to find the angle A using the inverse sine function:
sin −1 (0.6) = A A ≈ 36.87°
Therefore, by trigonometric ratios the answer will be 0.6 or about 36.87°.
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Evaluate 5p when p= 11.
Answer:
So would that be 5(11) which is 55
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
if p=11 then the expression is 5(11) which is equal to 55.
If x=4y -6 substitute the value of x into the expression and simplify-7x+3
-28y+45
-28y-39
-28y-45
-28y+39
Simplify the expression by combining like terms 9x + 8 + 3x + 4
Answer:
11x + 12
Step-by-step explanation:
9x + 3x = 11x
8 + 4 = 12
Answer:
24x²
Step-by-step explanation:
first add 9 plus 8 plus 3 plus 4 to get 24 then since there are 2 x's that makes in 24x²
You have a job earning $1500 a month, m. What expression represents
the total amount you've earned?
Answer:
1500m is your answer
Answer:
1500m
Step-by-step explanation:
The number of months is m.
In m months, you earn $1500 * m.
The expression is
1500m
6x5x2x3x4x5 please help me anyone I need it
Answer: 3600
Step-by-step explanation:
cdjfbef
the answer is 3600
Step-by-step explanation:
6×5×2×3×4×5
Question 2. Is there a relationship between the lengths of AB CD AC and BD? If so, what is the relationship?
Answer:
Yes. AB = CD, and AC = BD.
Step-by-step explanation:
edmentum
Answer:
Yes. AB = CD, and AC = BD.
Step-by-step explanation:
Given f(x) = x2 + 7x and g(x) = x4, choose
the expression for (fºg)(x).
Answer:
f(x4)=x8+7x4
Step-by-step explanation:
not a 100% sure tho
Please HELPPP!!!!!!!!!!!!
Answer:
Answer is A
Step-by-step explanation:
Answer:
A im pretty sure if im wrong sorry
Step-by-step explanation:
How many ways may a ratio be written?
Answer:
Three different ways (to : / )
Step-by-step explanation:
Examples:
3 to 5
3:5
3/5
Why is 1.4 a rational number? Please help with a explanation!
Answer:
1.4 is a rational number because it has a terminal decimals. it is the same as 14/10
Answer:
1.4 is a rational number because it can be written as the ratio of 4 to 10.
1) During busy times, 60 potential customers per hour arrive at the booth (assume a Poisson distribution). A booth worker takes 3.75 minutes, on average, to meet the information needs of a potential customer (assume an exponential distribution). How many booth workers are required for the average potential customer to spend no more than 5 minutes waiting and being served
Answer:
Booth workers required = 4
Step-by-step explanation:
As given ,
Arrival rate = λ = 60 customers per hour
Time taken = 3.75 minutes
∴ we get
Average service rate = μ = [tex]\frac{60}{3.75}[/tex] = 16 customers per hour
Now,
Minimum numbers of booth workers required = [tex]\frac{60}{16}[/tex] = 3.75
As workers can not be in fraction
∴ Minimum number of booth workers required = 4
Simplify the sum.
(-7b^2 + 5b + 2) + (b^2 +9b-4)
PLEASE HELP!!
Answer:
The answer would be 21
You are dealt 5 cards from a standard deck of 52 playing cards. In how many ways can you get.....
a. four of a kind?
b. Two different pairs
c. a pair of jacks and a pair of 8's
d. a pari of jacks or a pair of 8's but not both
Answer:
Probability of Four of a Kind
The probability of being dealt four of a kind is 0.0002400960384. On average, four of a kind is dealt one time in every 4,165 deals.
Probability of Two Pair
On average, players get two pair about one time in every 21 deals.
Step-by-step explanation:
Probability of Four of a Kind
Let's execute the analytical plan described above to find the probability of four of a kind.
First, we count the number of five-card hands that can be dealt from a standard deck of 52 cards. This is a combination problem. The number of combinations is n! / r!(n - r)!. We have 52 cards in the deck so n = 52. And we want to arrange them in unordered groups of 5, so r = 5. Thus, the number of combinations is:
52C5 = 52! / 5!(52 - 5)! = 52! / 5!47! = 2,598,960
Hence, there are 2,598,960 distinct poker hands.
We count the number of ways that five cards can be dealt to produce four of a kind. It requires three independent choices to produce four of a kind:
Choose the rank of the card that appears four times in the hand. A playing card can have a rank of 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, or ace. For four of a kind, we choose 1 rank from a set of 13 ranks. The number of ways to do this is 13C1.
Choose one rank for the fifth card. There are 12 remaining ranks, from which we choose one. The number of ways to do this is 12C1.
Choose a suit for the fifth card. There are four suits, from which we choose one. The number of ways to do this is 4C1.
The number of ways to produce four of a kind (Num4) is equal to the product of the number of ways to make each independent choice. Therefore,
Num4 = 13C1 * 12C1 * 4C1 = 13 * 12 * 4 = 624
Conclusion: There are 624 different ways to deal a poker hand that can be classified as four of a kind.
Finally, we compute the probability. There are 2,598,960 unique poker hands. Of those, 624 are four of a kind. Therefore, the probability of being dealt four of a kind (P4) is:
P4 = 624 / 2,598,960 = 0.0002400960384
The probability of being dealt four of a kind is 0.0002400960384. On average, four of a kind is dealt one time in every 4,165 deals.
Probability of Two Pair
To find the probability for two pair, we execute the same analytical plan that we've used to compute the other probabilities.
There are 2,598,960 distinct poker hands.
Next, count the number of ways that five cards can be dealt to produce two pair. It requires five independent choices to produce two pair:
Choose the rank for cards of matching rank. A playing card can have a rank of 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, or ace. For two pair, we choose 2 ranks from a set of 13 ranks. The number of ways to do this is 13C2.
Choose the rank of the remaining non-matching card. There are 11 remaining ranks, from which we choose one. The number of ways to do this is 11C1.
Choose suits for the first two-card combination. There are four suits, from which we choose two. The number of ways to do this is 4C2.
Choose suits for the second two-card combination. There are four suits, from which we choose two. The number of ways to do this is 4C2.
Choose a suit for the non-matching card. There are four suits, from which we choose one. The number of ways to do this is 4C1.
The number of ways to produce two pair (Numtp) is equal to the product of the number of ways to make each independent choice. Therefore,
Numtp = 13C2 * 11C1 * 4C2 * 4C2 * 4C1
Numtp = 78 * 11 * 6 * 6 * 4 = 123,552
Finally, compute the probability. There are 2,598,960 unique poker hands. Of those, 123,552 are two pair. Therefore, the probability of being dealt two pair (Ptp) is:
Ptp = 123,552 / 2,598,960 = 0.04753901561
On average, players get two pair about one time in every 21 deals.
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4, 14, 24,
Answer:
It is the arithmetic sequence and the common ratio is 10
Step-by-step explanation:
It is arithmetic sequence
This is because
-Geometric is multiplication
-arithmetic is addition
----
Now the common ratio/difference is 10 as it adds 10 each time
4, 4+10 (14), 14+10 (24)
Which of the statements are true?
6×32=6(3+2)=6(3)+6(2)
3×87=3(80+7)=3(80)+3(7)
12(48)=12(40+8)=1(40)+2(8)
14(75)=14(70+5)=14(70)+14(5)
9(56)=9(50+60)=9(50)+9(60)
Answer:
3×87=3(80+7)=3(80)+3(7)
14(75)=14(70+5)=14(70)+14(5)
above statement are true
If 7 sandwich rolls are $1.68, how
much will 29 rolls cost?
Answer: $6.96 is the answer
What is the next term of the geometric sequence?
−128/27,32/9,−8/3,?
2
Step-by-step explanation:
common ratio(r)=-3/4
a2÷a1=r
32/9÷-128/27=-3/4
therefore using the common ratio to find the fourth term is just by multiplying the third term -8/3 by the common ratio -3/4
which equals = 2
The next term of the geometric sequence[tex]\dfrac{-128}{27}[/tex], [tex]\dfrac{32}{9}[/tex], [tex]\dfrac{-8}{3}[/tex] is 2.
A geometric series is the sum of an infinite amount of terms with a fixed ratio between them.
Given series:
[tex]\dfrac{-128}{27} , \dfrac{32}{9}, \dfrac{-8}{3}[/tex]
The common ratio is calculated by dividing the second term by the first term.
Common ratio (r) =[tex]\dfrac{(2nd \ term)}{(1st \ term)}[/tex]
First term = [tex]\dfrac{-128}{27}[/tex]
Second term = [tex]\dfrac{32}{9}[/tex]
To divide by a fraction, we can multiply by its reciprocal:
Common ratio (r) =[tex]\dfrac{32}{9} \times \dfrac{-27}{128}[/tex]
r = [tex]\dfrac{-3}{4}[/tex]
Thus, the common ratio is[tex]\dfrac{-3}{4}[/tex].
So, we can find the next term:
The 4th term can be calculated by multiplying the 3rd term by the common ratio.
4th term = [tex]\dfrac{-8}{3} \times \dfrac{-3}{4}[/tex]
= 2
So, the next term in the geometric sequence is 2.
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The ratio of vegetarian items at the
restaurant to meat filled items is 1 to
3. If there are 18 meat filled items to
choose from, how many vegetarian items
are on the menu?
Emily bought 12 oranges from store to make orange juice. The total cost was $15. How much would it have cost if she only bought 9 oranges?
Answer:
$11.25
Step-by-step explanation:
12/15=9/x
x=45/4
x=$11.25
Answer: $11.25
Step-by-step explanation:
60° X X X = degrees. Pls help!
Answer:
60
Step-by-step explanation:
Equilateral triangles always have 60, 60, 60 degrees
180-60=120
120/2=60
x=60
Look at the middle 9 of .999. What is the value of the 9 to it's right?
Answer:
The value would be thousandths.
Step-by-step explanation:
