Step-by-step explanation:
To multiply fractions:
Multiply numerator to numerator and multiply denominator to denominator. Simplify the answer.
To multiply mixed numbers:
Change mixed numbers into improper fraction. Then multiply numerator and denominator just like how you multiply the fractions. Simplify.
Kelly sells 62 shares of stock she owns for a total of $433. If the stock was in two different companies, one selling at $6.50 a share and the other at $7.25 a share, how many of each did she sell?
Answer:
s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
Step-by-step explanation:
Quantity Equation:: x + s = 62 shares
Value Equation::: 6.50x+7.25s = 433 dollars
---------------------------
Modify for elimination:
6.5x + 6.5s = 6.5*62
6.5x + 7.25s= 433
-----------------------------
Subtract and solve for "s":
0.75s = 30
-----
s = 40 shares (# of 7.25 shares)
x = 22 shares (# of 6.50 shares)
Hope this helps
Write the equation of the line in Point-Slope Form given the information below.
Slope=7
Point=(1,4)
Answer:
Step-by-step explanation:
y - 4 = 7(x - 1)
y - 4 = 7x - 7
y = 7x - 3
(E) 140°
2. If ZX and Zy are complementary, and ZX
and ZZ are supplementary, which of the
following is true?
(A) MZY + mZZ = 270
(B) 2(mZY)= m_Y + m2Z
(C) mZZ mZX = 90
(D) mZZ m_Y = 90
(E) mZX + mZZ = 180
Answer:
a
Step-by-step explanation:
just took the test
what is the value of 69 - -26
Answer:
98
Step-by-step explanation:
Answer:
95
Step-by-step explanation:
subtracting by a negative number is cancelling out the negatives which makes it a positive so it is 69+26 which is 95
According to the Community College Research Center at the Teachers College of Columbia University in New York, 32% of community college students work full-time (full-time defined to be a person working 35 or more hours per week). Bryanna believes that this percentage may be higher among CBC students, so she decides to take a survey of CBC students to determine if her hypothesis is correct or not.
Required:
What is an appropriate formal hypothesis statement for Bryanna's study?
According to her study, we have that:
The null hypothesis is [tex]H_0: p = 0.32[/tex]The alternative hypothesis is: [tex]H_1: p > 0.32[/tex]At the null hypothesis, it is tested if the CBC's students proportion is the same as all community college students, that is, of 32%, hence:
[tex]H_0: p = 0.32[/tex]
At the alternative hypothesis, it is tested if the proportion for CBC's students is greater than 32%, that is:
[tex]H_1: p > 0.32[/tex]
A similar problem is given at https://brainly.com/question/25679468
At a cafe, the Bishop family pays $12 for a salad, a fruit bowl, and two sandwiches. The Cortez family pays $14 for two salads and two sandwiches. The Donovan family pays $14 for a salad and three fruit bowls. What is the price of a fruit bowl at the cafe?
$2
$3
$4
$5
Answer:
$3
Step-by-step explanation:
https://brainly.com/question/16432745
Please help!! I don't have a whole lot of time!!
The midpoint of the line segment is the average of the respective coordinates.
So the x-value of the midpoint if the average of the two individual x-coordinates.
(-3.5 + 4)/2 = 0.5/2 = 0.25
And the y-value of the midpoint if the average of the two individual y-coordinates.
(2 + (-2.5))/2 = -0.5/2 = -0.25
So, the midpoint is (0.25, -0.25) or (1/4, -1/4) or "C".
Match the equation to the type of solution.
3=3 A. One solution
x=0. B. No solution
4=-2. C. Infinite many solutions
What is the next number in the pattern 2 5 11 23
Answer:
47
Step-by-step explanation:
Help help hekpngelpnheopbh kobgelp
Answer:
5
Step-by-step explanation:
3+2=5
x=3
Questions
Fine the area of the triangle whose vertices are (-2,2), (1,-2) and (0,2).
Answer:
a) 16
b) 8
c) 4
d) 2
Answer:
The answer to this is c) 4.
Help help help help help help
You need to take each point and multiply the numbers by 5.
so the first one would be (-3,-1) multiplied by 5.
-3 * 5 = -15
-1 * 5 = -5
so your new point is (-15,-5)
hope this helped!
If cos θ = sin 2 θ, then the value of θ is = ___?
Given that:
Cos θ = Sin 2θ
⇛ Cos θ = 2 Sin θ Cos θ
⇛ Cos θ / Cos θ = 2 Sin θ
⇛ 1 = 2 Sin θ
⇛ 1/2 = Sin θ
⇛ Sin θ = 1/2
⇛ Sin θ = Sin 30°
⇛ θ = 30°
Therefore, θ = 30°
Answer :-The value of θ for the given problem is 30°
Check:-
LHS = Cos θ
⇛ Cos 30°
⇛ √3/2
RHS = Sin 2θ
⇛ Sin (2×30°)
⇛ Sin 60°
⇛ √3/2
LHS = RHS is true for θ = 30°
»If you have any doubt, then you can ask me in the comments.
Why do you have a premium? That's :(
Answer:
i dont have a premium
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hi! Can someone help me with this lab? It's 67% of my grade and I totally forgot to study for it.. It's only 4 questions but they count a lot!
Answer:
C. Transitive property of ≅Step-by-step explanation:
The statement #5 and #7 give an outcome of the statement #8:
ΔABG ~ ΔACF and ΔACF ~ ΔDCB ⇒ ΔABG ~ ΔDCBThis is called transitive property of congruence:
If one triangle is similar with another two, then the the other two triangles are similar to each otherCorrect choice is C
Answer:
C. Transitive property of congruence
Step-by-step explanation:
Transitive property of congruence means, if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then the first line or angle or triangle is congruent to the third line or angle or triangle.
11x - 2(x + 3) = 30. (filling up space) iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
x=4
Step-by-step explanation:
11x - 2(x + 3) = 30
distribute: 11x-2x-6=30
add like terms: 9x-6=30
add 6: 9x=36
divide by 9: x=4
Answer:
x = 4
Step-by-step explanation:
11x - 2(x +3) = 30
11x -2x - 6 = 30
11x - 2x = 30 + 6
9x = 36
9x/9 = 36/9
x = 4
change to mixed number
42/8
Answer:
42/8= 5 2/8
explanation:
8*5=40 42-40=2
therefore
42/8= 5 2/8
Answer:
[tex]5 \frac{2}{8} [/tex]
Step-by-step explanation:
Basically, mix number is formed by 3 parts,
They are,
* A whole number
* A numerator
* A denominator
Now lets write this number as a mix number,
First simply divide 42 by 8
[tex] \frac{42}{8} = 5[/tex]
[tex]remainder = 2[/tex]
Now you can write the remainder as a fraction,
[tex] \frac{2}{8} [/tex]
And now you can write the mix number like this,
[tex]5 \frac{2}{8} [/tex]
Hope this helps you.
Let me know if you have any other questions :-)
State the rules for multiplying integers.
Answer:
If they are the same integer, then the answer is always positive. However, if the integer are different, the answer is negative.
Sophia uses 3 cups of peanut butter to make 51 peanut butter cookies. At this rate, how many cups of peanut butter does she need to make 153 peanut butter cookies?
)) Type the missing numbers in this sequence: -3, -8, -13, -18,
Answer:
23
Step-by-step explanation:
first off if your to take away 3 from 8 you'd get five and the same goes for the rest
I.e
8-3=5
13-8=5
18+5=23
as 23 -18 would give you you 5
what is 7:30 + 46 minutes
The answer would be 8:16
Evaluate these expressions if x = 8. Substitute the number for the variable and solve. Follow the order of operations. 7 + x, 12 - x, x + 3, 32/x
Answer:
15, 4, 11, 4
Step-by-step explanation:
x=8
so 7+x, 7+8= 15
12-8 = 4
x+3 , 8+3=11
32/8 = 4
A farmer uses two types of fertilizers. A 50lb bag of fertilizer A contains 6 lb of nitrogen and 3lb of phosphorus. A 50 lb bag of fertilizer B contains 4 lb each of nitrogen and phosphorus. The minimum requirements for a field are 480 lb of nitrogen and 240 lb of phosphorus. If a 50lb bag of fertilizer A costs $35 and a 50 lb bag of fertilizer B costs $25 find the amount of each type of fertilizer the farmer should use to minimize his cost while still meeting the minimum requirements. mathematically formulate and state the problem.
Answer:
Fertilizer A = 20, Fertilizer B = 56
Step-by-step explanation:
Step 1: Set up the equations
Nitrogen: 8x + 5y ≥ 440
Phosphorous: 2x + 5y ≥ 260
Potassium: 4x + 5y ≥ 360
Step 2: Find the vertices
It is easiest to graph the equations to find the vertices. (see attachment). You can also solve each system of equations to find the intersected points.
The following satisfy the "greater than or equal to" requirement:
(0, 88) → y-intercept of Nitrogen equation
(20, 56) → intersection of Nitrogen and Potassium equations
(50, 32) → intersection of Phosphorous and Potassium
(130, 0) → x-intercept of Potassium
Step 3: Use vertices in cost function C(x) to find the minimum
C(x) = $30x + $20y
(0, 88): $30(0) + $20(88) = $1760
(20, 56): $30(20) + $20(56) = $1720 ← This is the minimum!
(50, 32): $30(50) + $20(32) = $2140
(130, 0): $30(130) + $20(0) = $3900
The minimum cost occurs when 20 bags of Fertilizer A and 56 bags of Fertilizer B are purchased.
A 6-pack of ice cream sandwiches costs $3.86. What is the unit price, rounded to the nearest cent?
Answer: so either .64 or , .66,
Step-by-step explanation:
divide 3.86 by 6
What is the product of -13/8 and 24/5
Answer:
-7 4/5 or -7.8
Step-by-step explanation:
Product means multiplication
( - 13/8 )( 24/5)
= (-13 · 24)/(8 · 5) negative · positive = negative
= - 312/40
= -7 32/ 40 = -7 4/5 or 7.8
dont sound so smart doing it she will know
Jeremy is incorrect because a negative plus a negative will always be a negative.
Jace is deciding between two landscaping companies for his place of business. Company A charges $50 per hour and a $250 equipment fee. Company B charges $75 per hour and a $150 equipment fee. Let A represent the amount Company A would charge for tt hours of landscaping, and let B represent the amount Company B would charge for tt hours of landscaping. Graph each function and determine the number of hours, t, that would make the cost of each company the same.
give me the corrdent plan point i need 2 for example
(5,2) and (4,1) like that on the graph
Answer: ________
dollars per hour
dollars
hours per dollar
hours
my graph is the y axis is 1000 and the x axis is 20
Answer:
I don't know ✌️. ..............
Determine the probability of selecting a two-child family with one boy and one girl assuming boys and girls are equally likely
Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.
For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
Two children, hence [tex]n = 2[/tex].Equally as likely to be a boy or a girl, hence [tex]p = 0.5[/tex].The probability of one of each is P(X = 1), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5[/tex]
0.5 = 50% probability of selecting a two-child family with one boy and one girl.
A similar problem is given at https://brainly.com/question/24863377
there are 20 coins.there are only twenty cent and fifty cent coins in it. the total amount in it is $7.60 .How many fifty cents coin are there
Answer:
10 twenty cent pieces and 6 fifty cent pieces for 16 coins and 5 euros.
Step-by-step explanation:
HELP!!!! What are the domain and range of the exponential growth function
a . Domain x>-3; Range: All real numbers.
b . Domain: All real numbers; Range: All real numbers.
c . Domain: x>-3; Range: y> -3
d . Domain: All real numbers; Range: y>-3
Step-by-step explanation:
D is the right answer.
remember, the domain is the interval or set of all valid values of x (the input variable). that means the values from left to right. there is no limitation visible. especially not around x = -3.
the range is the interval or set of valid values of y (the result variable). that means the values from bottom to top. and here we see, that the function never goes below y=-3.
these 2 facts make D the right answer.