If there are 4 yellow pencils for each blue one, then this is the answer. If not then comment and tell me.
Blue Yellow
5 20
7 28
9 36
11 44
13 52
The required number of yellow and blue pencils are 44 and 11 respectively.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
As Shawan has 4 yellow pencils for every blue pencil,
Let the number of blue pencils be b,
Now,
Yellow pencil (y) = 4 × b
Now,
put b = 5,7,9,11, or 13
So y = 20, 28, 36, 44, or 52
Now,
b + y = 55
when b = 11 and y = 44 sums of the pencil would be 55.
Thus, the required number of yellow and blue pencils are 44 and 11 respectively.
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the first term of a sequence is 13 the term-to-term rule is take away 5 workout the 4th term
Answer:
[tex]a_{4}[/tex] = - 2
Step-by-step explanation:
given the term to term rule is subtract 5, then
[tex]a_{2}[/tex] = 13 - 5 = 8
[tex]a_{3}[/tex] = 8 - 5 = 3
[tex]a_{4}[/tex] = 3 - 5 = - 2
The fourth term is -2.
Given that,
the first term of a sequence is 13.The term-to-term rule is take away 5Based on the above information, the calculation is as follows:
Second term is
= 13 - 5
= 8
Third term is
= 8 -5
= 3
And, the fourth term is
= 3-5
= -2
Therefore we can conclude that The fourth term is -2.
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HELP !!! Use the elimination method to solve the system of equations.
4x + 3y = 11
x - y = 8
Answer:
C. (5, -3)
Step-by-step explanation:
4x + 3y = 11
x - y = 8 (multiply by 3) --> 3x - 3y = 24
4x + 3y = 11
3x - 3y = 24
---------------------add
7x = 35
x = 5
5 - y = 8
y = 5 - 8
y = -3
(5, -3)
Answer:
C. (5, -3)
Step-by-step explanation:
Rewrite the first equation.
Multiply the second equation by 3 and write it under the first equation.
4x + 3y = 11
3x - 3y = 24
Now add the equations.
7x = 35
Divide both sides by 7.
x = 5
Substitute 5 for x in the original first equation:
4(5) + 3y = 11
20 + 3y = 11
3y = -9
y = -3
Solution: (5, -3)
In addition to an $80 bonus Joan earned eight dollars per hour working last week Joans total earnings last week or $240 how many total hours did she work last week
Answer:
20 hours
hope it helps
Step-by-step explanation:
total earnings was $240 but to find how much he made working you first have to deduct the $80 bonus
240 - 80 = 160
so he made $160 working now to find out how many hours worked you have to divide by 8 because he got paid $8.00 an hour
160 ÷ 8 = 20
Answer:
20hrs
Step-by-step explanation:
We need to find out how many hours she worked last week.
The bonus added $80 to the money she got from her hours worked so lets take that away:
240-80=160
Since she gets $8/hr we should divide 160 by 8
160÷8=20
Which table represents a nonlinear function?
Answer:
The table that represents the nonlinear function is the one where the x-values are -7, -5 and 0 and the y-values are -3, 0 and 3.
Step-by-step explanation:
In order for a table to represent a linear function, there needs to be a consistent change in y-values divided by the change in x-values. For example, for any two points on the table when we subtract two y-values and divide by the number we get when we subtract two x-values, this change should be represented throughout the table. So, in the case of the other three tables, when we choose two points from the table, such as (-5, 7) and (-2,6) and put them into an equation (y2-y1/x2-x1) or (6-7)/(-2-(-5)) we would get a change of -1/3. However, when we apply this concept to the table where x-values are -7,-5, and 0, we see that the change is not consistent between points, so the function must be nonlinear.
f(x) = 4x4 − 8x3 − 3x2 + 7x − 2 = (x + 1)(4x3 − 12x2 + 9x − 2) Based on the sythetic division shown, 1 2 is of the polynomial.
Answer:
-1, 2, 0.5, 0.5
Step-by-step explanation:
[tex]4x^4 - 8x^3 - 3x^2 + 7x - 2[/tex]
Using synthetic division for x=-1 we find that
-1 4 -8 -3 7 -2
-4 12 -9 2
-----------------------------------------------
4 -12 9 -2 0
----------------------------------------------
Thus quotient is [tex]4x^3 - 12x2 + 9x - 2[/tex]
Again try synthetic division by x-2
2 4 -12 9 -2
8 -8 2
-----------------------------------
4 -4 1 0
--------------------------------------
Thus quotient is [tex]4x^2-4x+1\\=(2x-1)^2[/tex]
Hence zeroes of the polynomial f(x) are
-1, 2, 0.5, 0.5
Answer:
Second half of the question: Based on the synthetic division shown, 1/2 is DEFINITELY A ROOT of the polynomial.
Step-by-step explanation:
help plz i dont understand this I'm going crazy
Answer:
<
Step-by-step explanation:
2*18-18=18
2*[28-3*(2+4)] = 20
18<20
Answer:
symbol is <
Step-by-step explanation:
evaluate the left and right sides for comparison
left = (2 × 18 ) - 18 = 36 - 18 = 18
right = 2[28 - (3 × 6) ] = 2[28 - 18] = 2 × 10 = 20
18 < 20
hence replace ? with <
Donna is ordering chocolate chip cookies for her company's picnic. The cookies are sold in packages of 6. She needs 336 cookies. How many packages should Donna buy?
Answer:
56 packs
Step-by-step explanation:
just divide
if line XZ is 2ft, line YZ=18in. what is the length of line XY
Answer:
XY = 6 in
Step-by-step explanation:
XZ = 2ft = 24 in.
XY + YZ = 24 in.
XY + 18 in. = 24 in.
XY = 24 - 18 = 6 in
What is the solution set of x2 – 10 = 30x?
So for this, I will be completing the square to solve for x. Firstly, add 10 and subtract 30x on both sides of the equation:
[tex]x^2-30x=10[/tex]
Next, we want to make the left side of the equation a perfect square. To find the constant of this soon-to-be perfect square, divide the x coefficient by 2 and square the quotient. Once you get that result, add it to both sides of the equation:
[tex]30\div 2 = 15\\15^2=225\\\\x^2-30x+225=235[/tex]
Now, factor the left side:
[tex](x-15)^2=235[/tex]
Next, square root both sides:
[tex]x-15=\pm\ \sqrt{235}[/tex]
Now, add 15 to both sides of the equation:
[tex]x=15\pm \sqrt{235}[/tex]
This is the exact solution. To find the approximate solution, solve the left side twice -- once with the plus sign, once with the minus sign:
[tex]x=30.33,-0.33[/tex]
Answer:In short:
Exact Solution: [tex]x=15\pm\sqrt{235}[/tex]Approximate Solution (Rounded to the hundredths): [tex]x=30.33,-0.33[/tex][tex]x^2-10=30x\qquad\text{subtract 30x from both sides}\\\\x^2-30x-10=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a},\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\text{We have}\ a=1,\ b=-30,\ c=-10\\\\\text{Substitute.}\\\\b^2-4ac\to(-30)^2-4(1)(-10)=900+40=940\\\\\sqrt{b^2-4ac}=\sqrt{940}=\sqrt{4\cdot235}=\sqrt4\cdot\sqrt{235}=2\sqrt{235}\\\\x_1=\dfrac{-(-30)-2\sqrt{235}}{2(1)}=\dfrac{30-2\sqrt{235}}{2}=15-\sqrt{235}\\\\x_2=\dfrac{-(-30)+2\sqrt{235}}{2(1)}=\dfrac{30+2\sqrt{235}}{2}=15+\sqrt{235}[/tex]
[tex]Answer:\ \boxed{x=15-\sqrt{235}\ and\ x=15+\sqrt{235}}[/tex]
25 points to 50 points. is that increase or decrease
Answer:
increasegoing from smaller to larger or less to greater
PLEASE ANSWER CORRECTLY ASAP!!THE OTHER OPTION IS 4 7/12 !
what is the greatest possible integer solution of the inequality 8.904x < 18.037
Answer:
2
Step-by-step explanation:
8.904x < 18.037 Divide each side by 8.904
x < 2.026
The largest integer that satisfies the inequality is 2.
Which value of w makes 14=11+w/8 times 6 a true statement?
Answer: For the value of w=4, [tex]14=11+\frac{w}{8}\times 6[/tex] is a true statement.
Step-by-step explanation:
Since, the given expression,
[tex]14=11+\frac{w}{8}\times 6[/tex]
= [tex]14=11+\frac{6w}{8}[/tex]
= [tex]14=11+\frac{3w}{4}[/tex]
= [tex]3=\frac{3w}{4}[/tex] ( by subtraction property of equality)
⇒ [tex]=\frac{w}{4}[/tex] ( By division property of equality)
⇒ w=4 ( By multiplication property of equality)
Answer:
w=4
Step-by-step explanation:
what functions equation does the sentence describe? every y-value is 5 less then the corresponding x-value
Answer:
The sentence describes this function equation:
y=x-5
Step-by-step explanation:
Every y-value is 5 less than the corresponding x-value:
y=x-5
Marc wants to buy a set of 6 antique chairs for his dining room. He has decided to spend no more than $360. How much can he spend per chair?
Answer:
He can spend a maximum of $60 per chair.
Step-by-step explanation:
360 / 6 = $60 per chair
Paws at Play made a total of $1,234 grooming 22 dogs. Paws at Play charges $43 to groom each small dog and $75 for each large dog.
Answer: No of Small Dogs = 13 and,
No of Large Dogs = 9
Step-by-step explanation:
Let us assume,
Small dogs = x and Large dogs = y
The total number of dogs is 22
So the first equation is x + y = 22
Total grooming sales = $1234
Cost to groom small dogs ( x ) = $43
Cost to groom large dogs ( y ) = $75
So the second equation is will be,
(43 × small dogs) + (75 × Large dogs) = $1234
i.e., 43x + 75y = 1234
To find the value of y, multiply the equation 1 with 43
i.e., 43x + 43y = 946
Now compare and subtract the above equation from equation 2
43x + 75y = 1234
43x + 43y = 946
32y = 288
y = 288 ÷ 32
y = 9
Put the value of y in any equation to find the value of x
Putting the value of y = 9 in equation 1
x + y = 22
x + 9 = 22
x = 22 - 9
x = 13
Therefore, Small dogs = 13
Large dogs = 9
The problem is about setting up and solving a system of linear equations representing the number and cost of grooming small and large dogs. You should end up with two equations: x + y = 22 and 43x + 75y = 1234. They can be solved using methods like substitution, elimination, or matrix method.
Explanation:This question involves setting up and solving a system of linear equations. Let's denote the number of small dogs as x and the number of large dogs as y. The total number of dogs is 22, so we can write the first equation as x + y = 22. The total amount charged is $1,234, so the second equation, considering the cost of grooming each small and large dog, is 43x + 75y = 1234.
Now you need to solve this system of equations to determine the number of each type of dog. This can be done using various methods such as substitution, elimination, or matrix methods.
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jacie can swim 3/4 of a mile in 3/8 of an hour.how far can she swim in one hour?
Answer:
2 miles
Step-by-step explanation:
convert 3/4 into 6/8. With this you have a ratio of 6/8 miles to 3/8 hours. Meaning 2/8 mile is equal to 1/8 of an hour. With this you can find that Jacie can swim 2 miles in a hour
Jacie can swim 2 miles in one hour, based on her speed of swimming 3/4 of a mile in 3/8 of an hour.
The student has asked how far Jacie can swim in one hour if she can swim 3/4 of a mile in 3/8 of an hour. To find out how far she can swim in one hour, we need to calculate her swimming speed and then use that speed to determine the distance she can cover in one full hour.
First, we determine Jacie's speed by dividing the distance by the time:
Speed = Distance / Time
Speed = (3/4) mile / (3/8) hour = 2 miles per hour
Now that we know Jacie swims at a speed of 2 miles per hour, we can find out the distance she swims in one hour simply by considering the speed:
Distance in one hour = Speed / Time
Distance in one hour = 2 miles per hour / 1 hour = 2 miles
Therefore, Jacie can swim 2 miles in one hour.
Evaluate the numerical expression.
9.6 - 10.8 ÷ 0.6
A) -0.2
B) -2
C) -8.4
D) 7.8
Answer:
C) -8.4
Step-by-step explanation:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
Divide <
10.8 / 0.6
= 18
Subtract <
9.6 - 18
= -8.4
- I.A -
Answer:
its C) -8.4
Hope this helps! :)
In an ordinary annuity, when does the interest on a yearly investment start building interest?
Answer:
The interest on a yearly investment start building interest - at the end of the first period.
Step-by-step explanation:
In an ordinary annuity, the interest on a yearly investment start building interest - at the end of the first period.
An ordinary annuity is a series of payments, where all the payments are of the same amount and are paid at the same intervals of time. The interest is calculated at the end of first period.
vector is flying his helicopter at 200 miles per hour. how long has he been flying if he has traveled 1,200 miles?
Answer:
6 hours
Step-by-step explanation:
200mph
1200 miles
200X=1200
X=6
Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3
Answer:
option D
Step-by-step explanation:
[tex]f(x) = x^2 + 5x + 6[/tex]
[tex]g(x)= \frac{1}{x+3}[/tex]
(fog)(x) = f(g(x))
Plug in g(x) in f(x)
We plug in 1/x+3 in the place of x in f(x)
[tex]f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6[/tex]
To simplify it we take LCD
LCD is (x+3)(x+3)
[tex]\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}[/tex]
[tex]\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}[/tex]
All the denominators are same so we combine the numerators
[tex]\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}[/tex]
[tex]\frac{6x^2+41x+70}{x^2+6x+9}[/tex]
Option D is correct
Answer:
The correct option choice is D. 6x^2 + 41x + 70 / x^2 +6x + 9
30 POINTS ANSWER RIGHT NOW PLEASE
Which of the diagrams represent the following equation?
xy = 20
A graph with two curved sections, one confined to quadrant 2 approaching both axes and one confined to quadrant 3 approaching both axes.
A line going through the points (0, 0) and (20, 1).
A graph with two curved sections, one confined to quadrant 1 approaching both axes and one confined to quadrant 4 approaching both axes.
A graph with two curved sections, one confined to quadrant 1 approaching both axes and one confined to quadrant 3 approaching both axes.
Answer:
Step-by-step explanation:
x=20 or y=20/x
the equation cos-1 3.4/10 =x can be used to determine the measure of angle BAC. What is the degree of measure angle BAC? Round to the nearest whole degree.
Answer:
70°
Step-by-step explanation:
x = [tex]cos^{-1}[/tex]([tex]\frac{3.4}{10}[/tex]) ≈ 70°
Answer:
<BAC= 70 degrees.
Step-by-step explanation:
The given equation to find angle BAC that is x is :
x=[tex]cos^{-1} \frac{3.4}{10}[/tex]
Or ,[tex]x=cos^{-1} 0.34[/tex]
Using calculator to find the arc of cosine0.34 we have :
x=70.1231
This when rounded to nearest whole degree is 70 degrees.
<BAC= 70 degrees.
The probability that Gavyn wins a raffle is given by the expression o/p
.
Is there another part to this question? What should we answer?
Answer:
i've literally got this same question and i have no idea what to putt
Step-by-step explanation:
The opposite angles of a parallelogram have measures of (3x-20) and (x+15). Find x
One number is equal to two times a second number. Two times the first number plus two times the second number is 24. If you let x stand for the first number and y for the second, what are the two numbers? A. x = –24, y = –12 B. x = 12, y = 6 C. x = 8, y = 4 D. x = 24, y = 12
Answer:
C, x = 8 and y = 4
Step-by-step explanation:
Let's isolate y.
x = 2y
Divide both sides by 2.
x/2 = y
Now plug it in to the other equation.
2x + 2(x/2) = 24
Simplify.
2x + x = 24
Simplify.
3x = 24
Divide both sides by 3.
x = 8
Now plug x back into the original equation.
8/2 = y
Simplify.
4 = y
Therefore, the answer is C, x = 8, y = 4.
Give an example of an opposite integers
Answer:
-2, 2
Step-by-step explanation:
they are both the same distance from zero but one is positive and one is negative
Answer:
3- and 3+
Step-by-step explanation:
Basically just have your positive number and have the same number but just it being negative.
4. FLOWERS Bethany placed a bouquet of roses in a vase full of water. Each day she recorded how much water had evaporated from the vase before refilling it. The results are shown in the table below. Over the course of five days how much water had evaporated? Use mental math to find your answer.[Day-1=0.8][Day-2=0.2][Day-3=1.1][Day-4=0.9][Day-5=1]
Answer:
4 is the answer
Step-by-step explanation:
Calvin goes shopping over the weekend and buys a new pair of shoes,a T-Shirt, a pair of sunglasses, and a hat that costs $9. The shoes are twice as much as the shirt, and the sunglasses are half as much as the shirt. The total cost of his purchase is $65. How much does each cost?
Answer:
I got you :)
Step-by-step explanation:
okay so if the hat is 9$ there is only 56$ left . it says the shoes are twice as much as the shirt , so i just went in and seen how much ill have left if i split it all. So i said 32$ for the shoes , because half of 32$ for shoes would mean 16$ for the shirt which would be 48. Then it says the sunglasses are half as much as the shirt and half of 16 is 8. When we add 32+16+8+9 we get 65$.
a file is 284 megabytes is being downloaded. If the download is 15.3% complete how many megabytes have been downloaded
Answer:
43.452
Step-by-step explanation:
284 times .153 = 43.452