Live Fund receive [tex]\bold{\$2500 N}[/tex] it they sold half thier holding in Marks Brothers.
Solution:
Given: Sale price of Live Fund holding is 5000 dollar
To find: Amount that Live Fund will get if they sell half of their holding in Marks Brothers.
Assume the total holdings held by Live Fund in Marks Brothers as N
Therfore, half the number of shares or (half the holdings) of Live Fund will be [tex]\frac{N}{2}[/tex].
Thus, if each share is valued at [tex]\$5000[/tex], then the total value of the number of shares sold will be as follows,
[tex]\Rightarrow5000\times\frac{N}{2}\text{ dollars }\rightarrow\frac{5000\times N}{2}\text{ dollars }[/tex]
[tex]\Rightarrow2500 N\text{ dollars }[/tex]
Hence, Live Fund will receive [tex]\$2500 N[/tex]
X^2+3x+2=0 solve by factoring
Answer: x=-1,-2
Step-by-step explanation:
X^2+3x+2=0
(x+1)(x+2)=0
x=-1,-2
13 dollars to 15 percent
Answer:
$1.95 is 15% of 13 dollars
Answer:
13 - 15% (1.90) = 11.10
Step-by-step explanation:
13 - 15% (1.90) = 11.10
The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
Answer: B
Step-by-step explanation:
The common factor missing from both sets of parentheses in the polynomial 10x^3 + 35x^2 - 4x - 14 when factored by grouping is (2x + 7).
To factor the polynomial 10x3 + 35x2 - 4x - 14 by grouping, we must first split the polynomial into two pairs that have a common factor. We can pair the terms as follows: (10x3 + 35x2) and (-4x - 14).
Factoring out the greatest common factor from each pair, we get:
5x2(2x + 7)
-2(2x + 7)
Now, we can observe that both pairs contain the common factor (2x + 7). So, the polynomial can be re-written using this common factor:
5x2(2x + 7) - 2(2x + 7)
Drawn out completely, the factored form of the polynomial using the distributive property (also known as factoring by grouping) thus becomes:
(5x2 - 2)(2x + 7)
Choose the expression that represents a quadratic expression. 6x4 − 5x3 + 3x2 −7x − 8 5x3 + 3x2 −7x − 8 2x2 + 3x − 1 3x − 1
Correct option:
[tex]2x^2+3x-13x-1[/tex]
Explanation:A quadratic function is given by the form:
[tex]f(x)=ax^2+bx+c \\ \\ Being \ a,b,c \ any \ real \ constants[/tex]
On the other hand, a quadratic equation is given by the form:
[tex]ax^2+bx+c=0 \\ \\ Being \ a,b,c \ any \ real \ constants[/tex]
And a quadratic expression is given by the form:
[tex]ax^2+bx+c \\ \\ Being \ a,b,c \ any \ real \ constants[/tex]
As you can see, when talking about the term quadratic the higher degree of the polynomial is 2. The options are:
[tex]1. \ 6x^4-5x^3+3x^2-7x-8 \\ \\ 2. \ 5x^3+3x^2-7x-8 \\ \\ 3. \ 2x^2+3x-13x-1[/tex]
So the only option that meets our requirement is:
[tex]2x^2+3x-13x-1[/tex]
Learn more:Quadratic Function: https://brainly.com/question/1531590
#LearnWithBrainly
Answer:
2x^2+3x-13x-1
Step-by-step explanation:
A box of cereal states that there are 93 calories in a three fourths
-cup serving. What is the unit rate for calories per cup? How many calories are there in 2 cups of the cereal?
The unit rate is
nothing calorie(s) per cup.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
Step-by-step explanation:
A box of cereal states that there are 93 calories in a three fourths-cup serving. What is the unit rate for calories per cup?
126.7 ~= 127 calories
How many calories are there in 2 cups of the cereal?
127 *2 = 254 calories.
The unit rate for calories per cup is 124 calories and 2 cups of the cereal contain 248 calories.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given is a box of cereal which states that there are 93 calories in a
(3/4)th of a cup serving.
We can write -
3/4 cup serving contain → 93 calories
1 cup serving will contain → (93 x 4)/3 which is equivalent to 124 calories
Similarly, we can calculate for 2 cups of serving as -
1 cup → 124 calories
2 cups → (2 x 124) = 248 calories
Therefore, the unit rate for calories per cup is 124 calories and 2 cups of the cereal contain 248 calories.
To solve more questions on Unitary method, visit the link below-
https://brainly.com/question/15259975
#SPJ2
Solve the equation for x showing your work
4x-5(x-2)=12x+4-x
Answer:
x=1/2
Step-by-step explanation:
4x-5(x-2)=12x+4-x
4x-5x+10=12x-x+4
-x+10=11x+4
-x-11x+10=4
-12x+10=4
-12x=4-10
-12x=-6
12x=6
x=6/12
simplify
x=1/2
Answer: x = 1/2
Explanation :
First write the equation as you see it:
4x-5(x-2)=12x+4-x
Next do the math in the parentheses:
4x-5x+10=12x-x+4
Combine the x’s:
-12x+10=4
Switch the 10 and put it on the other side:
-12x=4-10
Change to negative to positive:
12x=6
Divide:
x=6/12
Simplify
x=1/2
Thus, you answer is x = 1/2
Hope this helps! :)
3) Write an equation for the relationship between the number of rectangles (x) and the perimeter of
the figure (y)?
Let the number of rectangles = R
Perimeter is 2(L) + 2(W)
The length remains the same when you add more triangles ( 6).
The width changes by multiplying the width by the number of rectangles.
Since the width of the rectangles are 1, multiply the number of rectangles R by 1 to get R.
Now replace W in the perimeter frmula with R:
Now the perimetr would be: P = 2L + 2R
2 Kaley estimates that 2 out of
every q cheerleaders will forget to
bring their bows for practice. If
there are 36 cheerleaders in the
school, how many should she expect
to forget their bows?
Answer:
[tex]\frac{72}{q}[/tex] number of cheerleaders, she would expect to forget their bows.
Step-by-step explanation:
Kaley estimates that 2 out of every q cheerleaders will forget to bring their bows for practice.
So, if there are q cheerleaders then 2 of them will forget to bring their bows.
Then if there are 1 cheerleader then [tex]\frac{2}{q}[/tex] of them will forget to bring their bows.
Finally, if there are 36 cheerleaders then [tex]\frac{2 \times 36}{q} = \frac{72}{q} [/tex] of them will forget to bring their bows.
Therefore, [tex]\frac{72}{q}[/tex] number of cheerleaders, she would expect to forget their bows. (Answer)
9/10 divided by -3/5
Answer:
-1 1/2
The drawing will help
Answer:
-15
Step-by-step explanation:
9 divided by 10 is 0.9 and -3 divided by 5 is -0.06
and 0.9 divided by -0.06 is
NEED ASAP AND FULLY EXPLAINED!
A function is shown.
h(t) = -t^2+10t-16
For which interval of t-values is the function both positive and increasing?
a. t < 5
b.t >8
c. 2 <t<5
d. 5<t<8
Answer:
B
Step-by-step explanation:
A.) If you plug in 5 for t, you'd get -5 squared + 10(5) - 16
Which would equal 25 + 50 - 16 = 59
Answer a says t is less than 5, so for example let's plug in 4. You'd get a lower number, which means its decreasing. A is wrong
B.) Now let's plug in 8 for t.
-8 squared = 64.
64 + 10(8) - 16 = 144 - 16 = 128
Your answer here is positive, and B states is t > 8. Any number above 8 is going to give you a positive number and it is increasing
Answer:
B. t>8
Step-by-step explanation:
Billy plotted −3
4
and −1
4
on a number line to determine that −3
4
is smaller than −1
4
Is he corectt??
He is correct.
The further away ( to the left) from 0 a negative number is the smaller it is.
Billy correctly determined that −3/4 is smaller than −1/4 by plotting them on a number line. Numbers further to the left on the number line are smaller, and thus −3/4 is less because its absolute value is greater than that of −1/4 when both are negative.
Explanation:Billy is correct in determining that −3/4 is smaller than −1/4. On a number line, negative numbers to the left are smaller than those to the right. Since −3/4 is further to the left than −1/4, it is indeed the smaller number. Comparing fractions with negative signs can initially be challenging, but remembering that the further left a number is on the number line, the smaller it is, can help clarify comparisons.
When plotting fractions on a number line, it is helpful to consider the absolute value of those fractions. The absolute value of −3/4 is 3/4, and the absolute value of −1/4 is 1/4. Since 3/4 is greater than 1/4, the negative version, −3/4, will be further to the left than −1/4 and therefore less than −1/4.
Determine the kinetic energy of 8000 Newton’s roller coaster car that is moving with a speed of 20.0 meters/seconds
Answer:
The kinetic energy of the roller coaster is 1600000 J.
Step-by-step explanation:
Given:
Mass of the roller coaster is 8000 Newton's and speed 20.0 meters/seconds.
Now, we need to find the kinetic energy [tex]E_{k}[/tex] of the roller coaster.
So, Mass of roller coaster (m) = 8000 N.
Velocity of roller coaster (v) = 20.0 m/s.
Now, putting the formula of kinetic energy:
[tex]E_{k} = \frac{1}{2}\times m\times v^{2}[/tex]
[tex]E_{k}=\frac{1}{2} \times 8000\times 20^{2}[/tex]
[tex]E_{k}=\frac{1}{2} \times 8000\times 400[/tex]
[tex]E_{k}=\frac{1}{2} \times 3200000[/tex]
[tex]E_{k}=1600000[/tex]
Therefore, the kinetic energy of the roller coaster is 1600000 J.
If p + q = 36, and p -q = 20, then q = ?
Answer:
q = 8
Step-by-step explanation:
Given the 2 equations
p + q = 36 → (1)
p - q = 20 → (2)
Add the 2 equations term by term
2p = 56 ( divide both sides by 2 )
p = 28
Substitute p = 28 into (1)
28 + q = 36 ( subtract 28 from both sides )
q = 8
If p + q = 36, and p -q = 20, then q = B
The given question is an example of an algebraic equation that involves the use of BODMAS and the substitution method.
Let
p + q = 36 ---- (eqaution 1), and;p - q = 20 ---- (equation 2)From equation (1)
Let p = 36 - q.
Then we can substitute the value of p into equation (2)
p - q = 20
36 - q - q = 20
36 - 2q = 20
collecting the like terms
-2q = 20 - 36
- 2q = - 16
Divide both sides by (-2)
q = -16/-2
q = 8
Therefore, we can conclude that the value of q = 8
Learn more about algebraic equations here:
https://brainly.com/question/953809?referrer=searchResults
Multiply (1/2)(2x)(x+8)
[tex]\bf \left( \cfrac{1}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~} \right)(~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~x)(x+8)\implies x(x+8)\implies x^2+8x[/tex]
Answer:
simplifyied answer is[tex]x^{2} +8x[/tex]
complete the table to determine if wavelength varies inversely with frequency...
The completed table shows that the product of wavelength and frequency (k) is approximately constant for X-rays, radio waves, green light, and UV rays. Here are the final values for a, b, c, and d: [tex]a = \frac{1}{3} \times 10^{8} \, \text{m/s} , \ b = \frac{1}{3} \times 10^{8} \, \text{m/s} , \ c = \frac{1}{3} \times 10^{8} \, \text{m/s} , \ d = \frac{2}{15} \times 10^{-8} \, \text{m/s}.[/tex]
To determine if wavelength varies inversely with frequency, we can use the formula [tex]\(k = \text{wavelength} \times \text{frequency}\).[/tex]. Rearranging this formula to solve for k, we get [tex]\(k = \frac{1}{\text{frequency}} \times \text{wavelength}\)[/tex].
Now, we can calculate the values of k for each type of radiation:
[tex]\[a = \frac{1}{3 \times 10^{18}} \times (1 \times 10^{-10}) = \frac{1}{3} \times 10^{-28} \, \text{m/s}.\]\[b = \frac{1}{3 \times 10^9} \times (1 \times 10^{-1}) = \frac{1}{3} \times 10^{-10} \, \text{m/s}.\]\[c = \frac{1}{5 \times 10^{11}} \times (600 \times 10^{-6}) = \frac{1}{3} \times 10^{-8} \, \text{m/s}.\]\[d = \frac{1}{7.5 \times 10^{14}} \times (4 \times 10^{-7}) = \frac{4}{30} \times 10^{-21} \, \text{m/s}.\][/tex]
Now we express the values in terms of [tex]\(10^8\)[/tex]:
[tex]\[a = \frac{1}{3} \times 10^{-20} \, \text{m/s} = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[b = \frac{1}{3} \times 10^{-2} \, \text{m/s} = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[c = \frac{1}{3} \times 10^{0} \, \text{m/s} = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[d = \frac{4}{30} \times 10^{-13} \, \text{m/s} = \frac{2}{15} \times 10^{-8} \, \text{m/s}.\][/tex]
So, the completed table is as follows:
[tex]\[a = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[b = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[c = \frac{1}{3} \times 10^{8} \, \text{m/s}.\]\[d = \frac{2}{15} \times 10^{-8} \, \text{m/s}.\][/tex]
Answer this question please
Answer:
x = 7,y = 8
Step-by-step explanation:
(20 + x + y )/ 5 = x
4x = 20 + y
x ≥ 6
y ≥ 6
if x = 6, y = 4 No
if x = 7, y = 8 Yes!
Some fourth grade students are creating a book of poems.
Part A
Jamie wrote 18 poems, which is 3 times as many poems as Kayla wrote. How many poems did Kayla write? Show your work.
Respond in the space provided.
Answer:
6
Step-by-step explanation:
you take 18 and divide it by 3
Three cards are drawn from a deck without replacement what is the probability of selecting two black cards and a heart?
Answer:
A deck=52
Probability of selecting black cards 26/52
26/52*3/52
Step-by-step explanation:
Correct me if I am wrong.
Find the probability of rolling an even prime number on a simple dice
Answer:
3/6 or 1/2 or 50:50 there all right
Step-by-step explanation:
I am guessing that by simple dice you mean a 6 sided die and we know that 6 sided dice goes up to 6 and there are 3 prime number up to 6 which are 2 3 5 so if 3 out of 6 numbers are prime it is half of the dice so there is a 50/50 chance you role a prime number
2. New appliances for the kitchen will include a new refrigerator ($1,449.99), dishwasher ($489.99), and electric range ($616.99) which will be purchased at the local appliance store. Estimate the cost of the appliances to the nearest hundred dollars. Then calculate the actual total cost of the appliances.
Answer:
about $2,557
Actual cost : $2556.97
Step-by-step explanation:
well since all of them are .99 if you round to the hundreths it make another dollar cause it will force the .9 to become 1.0
so it be 1450 for the refrigerator, 490 for the dishwasher, and 617 for the electric range.
add those numbers to get about $2,557
66 * 20 equals 6 * 2 *
Answer:
x=110
Step-by-step explanation:
66*20=6*2*x
1320=12x
x=1320/12
x=110
how could you convert 3 yards 2 feet to inches?
Answer:
132 inches
Step-by-step explanation:
first convert yards(yd) to feet(ft)
3yd* (3ft / 1 yd) (yds cancel)
3 * 3ft = 9ft
9ft + 2ft = 11ft
11ft * (12in / 1ft) (ft cancel)
11 * 12in = 132in
Answer:
110 inches
Step-by-step explanation:
1 yard = 36 * 3 = 108 + 2 = 110
Simplify: 1(-3.86 + 6.82)| + |(4.02 - 12.45)||
Answer:
11.39
Step-by-step explanation:
-3.86+6.82=2.96
abs(2.96)=2.96
----------------------
4.02-12.45=-8.43
abs(-8.43)=8.43
-----------------------
1(2.96)+8.43=2.96+8.43=11.39
Louis bought a burger and soda for $8. Kate purchased a slice of pizza and soda for $9. Biff purchased a burger, a slice of pizza and a soda for $13.50 what is the equation for each purchase?
The equation for Louis's purchase is: [tex]x+y=8[/tex]
The equation for Kate's purchase is: [tex]y+z=9[/tex]
The equation for Biff's purchase is: [tex]x+y+z=13.50[/tex]
Step-by-step explanation:
First of all we have to define variables for each item involved in the purchase
Let x represent burger
y represent soda
z be the slice of pizza
Then
"Louis bought a burger and soda for $8"
[tex]x+y=8[/tex]
"Kate purchased a slice of pizza and soda for $9"
[tex]y+z=9[/tex]
"Biff purchased a burger, a slice of pizza and a soda for $13.50"
[tex]x+y+z=13.50[/tex]
The equation for Louis's purchase is: [tex]x+y=8[/tex]
The equation for Kate's purchase is: [tex]y+z=9[/tex]
The equation for Biff's purchase is: [tex]x+y+z=13.50[/tex]
Keywords: Linear Equations, Variables
Learn more about Linear equations at:
brainly.com/question/11207748brainly.com/question/11280112#LearnwithBrainly
I need urgent help with these types of problems bc I suck at geometry please ITS URGENT SOMEONE HELP I BEg of you!
Answer:
See explanation
Step-by-step explanation:
Statement Reason
1. [tex]\overline{PS}\perp \overline{SQ}[/tex] Given
2. [tex]m\angle PSQ = 90^{\circ}[/tex] Definition of perpendicular lines
3. [tex]\triangle PSQ[/tex] is right triangle Definition of right triangle
4. [tex]\overline{RQ}\perp \overline{SQ}[/tex] Given
5. [tex]m\angle RQS = 90^{\circ}[/tex] Definition of perpendicular lines
6. [tex]\triangle RQS[/tex] is right triangle Definition of right triangle
7. [tex]m\angle PSQ=m\angle RQS[/tex] Substitution property of equality
8. [tex]\overline {SQ}\cong \overline {QS}[/tex] Reflexive property
9. [tex]\overline {PQ}\cong \overline {RS}[/tex] Given
10. [tex]\triangle PSQ\cong \triangle RQS[/tex] HL postulate
Solve. b=3/4 a+b=21.
Given expression is:
[tex]a+b = 21[/tex][tex]b = \frac{3}{4}[/tex]By substituting the value of "b" in the given expression, we get
→ [tex]a + \frac{3}{4} = 21[/tex]
→ [tex]a = 21 - \frac{3}{4}[/tex]
By taking L.C.M, we get
[tex]= \frac{84-3}{4}[/tex]
[tex]= \frac{81}{4}[/tex]
Thus the response above is correct.
Learn more about equation here:
https://brainly.com/question/23870248
What is the slope of the line?
Answer Choices:
A.1
B.3
C.1/3
D.-3
Answer:
B
Step-by-step explanation:
You could plug in the point given with another point but for simplicity, you can count how far away you are from the vertex. (Since the y intercept is at 0,0)
Go up 3 spots from the vertex, and then go one spot to the right. Ay now you're at (1,3)
You went up 3 and right 1, which translates to simply 3
An online furniture store sells chairs for $100 each and tables for $550 each. Every day, the store can ship at most 21 pieces of furniture and must sell no less than $5700 worth of chairs and tables. If 10 chairs were sold, determine the minimum number of tables that the the store must sell in order to meet the requirements. If there are no possible solutions, submit an empty answer.
Answer:
9 tables
Step-by-step explanation:
Let x be the number of chairs sold and y be the number of tables sold.
Chairs are sold for $100 each, then x chairs cost $100x.
Tables are sold for $550 each, then y tables cost $550y.
Every day, the store can ship at most 21 pieces of furniture, then
[tex]x+y\le 21[/tex]
Store must sell no less than $5,700 worth of chairs and tables, then
[tex]100x+550y\ge 5,700[/tex]
If 10 chairs were sold, then [tex]x=10.[/tex] Substitute this value into both inequalities:
1. [tex]10+y\le 21\Rightarrow y\le 11[/tex]
2. [tex]100\cdot 10+550y\ge 5,700\Rightarrow 550y\ge 4,700\Rightarrow y\ge \dfrac{470}{55}=8\dfrac{6}{11}[/tex]
Hence, [tex]8\dfrac{6}{11}\le y\le 11[/tex]
The minimum number of tables that the the store must sell in order to meet the requirements is 9 tables
Answer:{ 9, 10, 11 }
Step-by-step explanation:
Mrs. Ruiz has 11/12 yard of string to hang 3 banners. She uses the same length of string to hang each banner. How much string does she use for each banner?
Answer:
[tex]\frac{11}{36}[/tex] yard
Step-by-step explanation:
Length of string Mrs. Ruiz has = [tex]\frac{11}{12}[/tex] yard
Mrs. Ruiz needs to hang 3 banners using the string.
Having known that each banner uses same length of string to be hung we can divide total length of sting into 3 equal parts.
So, we can divide [tex]\frac{11}{12}[/tex] yard by 3 as
⇒ [tex]\frac{11}{12}\div 3[/tex]
Changing the division sing to multiplication by taking reciprocal of divisor.
⇒ [tex]\frac{11}{12}\times \frac{1}{3}[/tex]
We can now multiply numerators and denominators.
⇒ [tex]\frac{11}{36}[/tex] yard
∴ Mrs. Ruiz must used [tex]\frac{11}{36}[/tex] yard of string for each banner.
segment addition with variables
x equals 22
Explanation:____________________________________________
The Segment Postulate states the following:
Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:
[tex]\overline{AB}=\overline{AC}+\overline{CB}[/tex]
____________________________________________
From the figure:
[tex]\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40[/tex]
Our goal is to find x:
[tex]\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}[/tex]
Learn more:Dilation: https://brainly.com/question/2501119
#LearnWithBrainly