Answer:
Part A: [tex]x^2-30x+224\geq 0[/tex]
Part B: Jessica has at least 2 cookies more than Martha
Step-by-step explanation:
Since there are 2 question-
Let,
How many more cookies will Jessica have than Martha?If x represents the number of cookies Jessica started with, complete the statements below. Be Part A:
Let,
The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 ≥ 0 Jessica has at least _ cookies more than Martha.
Be Part B:
Hint:
J=Jessica
30-J=Martha
(J-6)*((30-J)-6)<=80
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solve:
Starting with Part A: Find the inequality that describes the relationship between the number of cookies each one of them has
Let,
"x" be the number of cookies when Jessica started
"30-x" be the number of cookies when Martha started
Given us that:
Each of them ate 6 cookies from their bag
Therefore,
Cookie left in each bag are:
(x-6) which is - Jessica
30 - x - 6 = (24 - x) - Martha
Solution - (x-6)(24-x)
The product of the number of cookies left in each bag is not more than 80.
Thus,
[tex](x-6)(24-x\leq 80[/tex]
[tex]24x-x^2-144+6x\leq 80[/tex]
[tex]-x^2+30x-144-80\leq 0[/tex]
[tex]-x^2+30x-244\leq 0[/tex]
[tex]\mathrm{Multiply\;by\;-1\;both\;sides}[/tex]
[tex]x^2-30x+224\leq 0[/tex]
Hence, Answer = [tex]x^2-30x+224\leq 0[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solve:
Part B: Solve the quadratic equation:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:14\le \:x\le \:16\:\\ \:\mathrm{Interval\:Notation:}&\:\left[14,\:16\right]\end{bmatrix}[/tex]
[tex]\left(x-14\right)\left(x-16\right)\le \:0[/tex]
[tex]14\le \:x\le \:16[/tex]
The solution is x=16 cookies
Thus, (30-x)=30-16=14 cookies
Now we know that;
The number of cookies when Jessica started was 16 cookies
The number of cookies when Martha started was 14 cookies
So,
The number of cookies left in each bag is equal to
Jessica:
16-6=10 cookies
Martha:
14-6=8 cookies
10 > 8
As a result, Jessica has at least 2 cookies more than Martha.
Fill in blank for:
The inequality that describes the relationship between the number of cookies each one of them has is x^2 - __30__ x +224 >= 0.
Jessica has at least __2__ cookies more than Martha.
~Lenvy~
Which expression is equivalent to n2 26n 88 for all values of n?
The value of the expression n² + 26n + 88 is equivalent to negative 4 and negative 22.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The expression is n² + 26n + 88
Put that expression to get the solution
n² + 26n + 88 = 0
n² + 22n + 4n + 88 = 0
n(n + 22) + 4(n + 22) = 0
(n + 4)(n + 22) = 0
The value of n is negative 4 and negative 22.
More about the factorization link is given below.
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Write a quadratic function f whose zeros are -3
Answer:
x2 - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4.
Rewrite as a simplified fraction. 2.888... = ?
fractional number equivalent of 2.888 is
[tex] \frac{361}{125} or 2 \frac{111}{125} [/tex]Answer:
[tex]\frac{26}{9}[/tex] or [tex]2 \frac{8}{9}[/tex]
Step-by-step explanation:
Let x equal the decimal. Set up two equations such that the digits after the decimal point are identical.
10x = 28.8888...
x = 2.8888...
Subtracting the two equations, we have:
9x = 26
If the probability that a person lives in an industrialized country of the world is 1/5 find
the probability that a person does not live in an industrialized country
Answer:
4/5
Step-by-step explanation:
5/5 - 1/5 = 4/5 is the probability that a person does not live in an industrialized country
The P( person does not lives in an industrialized country ) = 4/5
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
P( person lives in an industrialized country ) = 1/5
Now, using the Completement probability
P ( person lives in an industrialized country ) + P( person does not lives in an industrialized country ) = 1
P( person does not lives in an industrialized country )
= 1- P ( person lives in an industrialized country )
P( person does not lives in an industrialized country )
= 1- 1/5
= 4/5
Hence, P( person does not lives in an industrialized country ) = 4/5.
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If I have 30 blue balls and 10 red balls and 50 green balls How many balls to I have in all? 30 points.
Answer:
90 balls
Step-by-step explanation:
simply add them
Answer: 90 balls
Step-by-step explanation:
30 + 10 = 40
40 + 50 = 90.
(2)•(4.5)=? Fill in the missing number in the equation
Answer:
9
Step-by-step explanation:
twice the value of 4.5 equals 9
base=?
height=7
volume=?
Answer:
The area of the base is 24 [tex]cm^{2}[/tex]
The volume is 168 [tex]cm^{3}[/tex]
Step-by-step explanation:
The area of the base is found by solving [tex]0.5*6*8[/tex], because that is the formula for the area of a triangle.
The volume is found by multiplying the area of the base by the height: [tex]24*7=168[/tex]
I NEED THIS ASAP PLEASE
Answer:
21
Step-by-step explanation:
Jessica’s credit card is on a 30-day billing cycle, and it computes finance charges using the adjusted balance method. the following table details jessica’s use of her credit card in the month of october. date amount ($) transaction 10/1 1,240.55 beginning balance 10/2 36.43 purchase 10/10 75.00 payment 10/13 131.79 payment 10/20 41.52 purchase 10/22 25.00 purchase what is jessica’s adjusted balance for october? a. $1,136.71 b. $1,033.76 c. $1,140.55 d. $1,240.55
Jessica’s adjusted balance for October with 3 purchases and 2 payments comes to be $1136.71.
What is the adjusted balance method?In this method payment done by the borrower in between the month is adjusted in the final balance on which interest is to be levied.
Details of transactions for the month of October are given as:
Date Transaction/amount Details
10/1 $1,240.55 beginning balance
10/2 $36.43 purchase
10/10 $75.00 payment
10/13 $131.79 payment
10/20 $41.52 purchase
10/22 $25.00 purchase
Total balance at the end of October
= 1240.55+36.43-75-131.79+41.52-25
Total balance at the end of October =$1136.71
Therefore, Jessica’s adjusted balance for October is $1136.71.
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Answer: b.) 1,033.76
Step-by-step explanation:
What is the volume of this figure?
Enter your answer in the box.
yd³
Answer:
4095
Step-by-step explanation:
This Is for the 4.07 K-12 Quiz! <3
Answer:
4095 yd³ for K12
I need help please!!!!!
Answer:
330 ft^2
Step-by-step explanation:
See attached image
why does no one love me
Sometimes we start to lose faith, in those moments we think that no one loves us when they do, they care about us too. It's just your head messing with you. It's like saying "I'm depressed" but you're really not. it's just that you keep saying is that your brain starts believing it. Most of the time it's you losing faith. Which is completely normal and everyone in their life will once feel that way. That's why people often decide to end life way too soon. They don't know it's only going to last some time. It's going to be hard of course but it will soon have to come to an end, and when it does you will feel free and you will be able to enjoy life the way you are supposed to.
hope that helps.
Algebra
U perpendicure
All changes saved
4. Identify the equations as parallel lines, perpendicular lines, or neither.
Equation 1: -2x+5y=3
Equation 2: 2y=5x+1
perpendicular
Neither
parallel
Answer: Neither
Step-by-step explanation:
Select the correct answer.
which function is continuous across its domain?
Answer:
B
Step-by-step explanation:
What’s the expression of (9x2 - 2x + 7) + (4x2 + 7x + 2)
Answer:
35+5x
Step-by-step explanation:
Pick each bracket and solve them separately. After solving, then you add them
the first bracket= (9x2-2x+7) = 25-2x ------- eqn 1
the second bracket= (4x2+7x+2) = 10+7x ---- eqn 2
Add eqn 1 and 2
= (25-2x) + (10+7x)
Grouping like terms,
= (25+10) + (-2x+7x)
=35+5x
Help please!!! 100 points
Answer:
I think the file of the picture is corrupted because it is not loading
Step-by-step explanation:
Answer: A
Step-by-step explanation:
P
E
M
A
S
The perimeter of a rectangular garage
is 46 meters. The garage is 10 meters
wide. How long is it?
meters
Divide area by width:
46/10 = 4.6 meters
Answer: 4.6 meters
Answer:
The rectangular garage is 13m long.
Step-by-step explanation:
[tex]\sf\large{\star Given:-}[/tex]
Perimeter of rectangular garage = [tex]\sf\pink{46 \:m.}[/tex]Width of the rectangular garage = [tex]\sf\pink{10\:m.}[/tex][tex]\sf\large{\star To\: find:-}[/tex]
How long is the garage (length of garage).[tex]\sf\large{\star Solution:-}[/tex]
[tex]\rightarrow[/tex]As we know that,
Perimeter of rectangle = [tex]\sf\blue{2(length+width)}[/tex]
So, by putting the value of perimeter and width in this formula we get,
[tex]\rightarrow[/tex] [tex]\sf{2(l+10)\:=\: 46}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l+20\:=\: 46}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 46-20}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{2l\:=\: 26}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{l \:=\: \frac{26}{2}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{l\:=\: 13m.}[/tex]
Therefore, length of the rectangular garage = [tex]\sf\purple{=\: 13m.}[/tex]
_______________________________
Hope it helps you:)
Selma deposited a paycheck for $378.42. she’ll use the check register to record her transaction. what will be her new balance? a checking account has a balance of 2636 dollars and 41 cents. $2,257.99 $2,337.06 $3,014.83 $3,057.31
The new account balance by deposit of $378.42 will be $3014.83.
What is addition?When anything is increased in the already existing quantity then it is termed the addition.
Now it is given in the question that
Selma deposited an amount of = $378.42
Account balance =$2636.41
Now the new balance will be = New amount + Previous balance
[tex]\rm New\ amount = 2636.41+378.42=3014.83[/tex]
Thus new account balance by deposit of $378.42 will be $3014.83.
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Answer:
Step-by-step explanation:
c
1)
A group of twenty learners from Thabo secondary Vaal Gauteng, were selected
to participate in soccer tournament. The learners wanted to raise funds to help
pay for the trip, they decided to sell pens, the learn calculated that they need
R40 to start they fund raising venture the amount will be used for advertising
and other expenses the cost price of each pen was R2 each learner donated R12
for the starting up the business
4. 1) determine the total amount of money donated to start them business?
(2)
4. 2) calculate the value of A&B using the information given in the table
Show all the calculations
Number of o
10
5
25
of
15
B
Answer:
??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Step-by-step explanation:
please me please pls
the line passes through the point ( - 8 ; - 2)
so f(-8) = - 2
An office decreases paper waste by
35%. Originally the office produces
w pounds of waste.
Part A
reads forx nights? Which expression represents the
waste reduction?
A. w - 35
B. 1.35w
C. 0.35w
D. w-0.35w
Part B
How much paper waste do they
produce now, if they originally
produced 8 pounds per month?
The expression that represents waste reduction is w - 0.35x.
The paper waste produced now is 5.2 pounds per month.
What is the expression that represents waste production?The exression that represents waste production is the total amount of waste generated less athe reduction in waste.
w - 0.35x
Waste now produced = 8 - 0.35 x 8 = 5.2 pounds
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What is the volume of a sphere with a radius of 3 m, rounded to the nearest tenth
[tex]\rightarrow[/tex]Radius(r) of sphere = 3m
To Find:-[tex]\rightarrow[/tex] Volume of the sphere.
Formula Used:-[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex]
Solution:-[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex](putting the value of r(radius) from the above given and pie(π) = [tex]\sf{\frac{22}{7}}[/tex])
[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×3^3}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×27}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\frac{2,376}{21}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=113.14m^3}[/tex]
Therefore, the volume of the sphere [tex]\sf{=113.14m^3}[/tex], which can be rounded off to it's nearest tenth as [tex]\sf{113.1m^3}[/tex]
____________________________________
Hope it helps you:)
Ms. Tranquille is making a scale drawing of a famous building. In reality, the building is 108 meters tall. In her drawing, the building is
[tex]4\frac{1}{2} [/tex]
inches tall. How wide should the scale drawing be if the actual width is 48 meters?
PLEASE HELP I WILL MARK YOU BRAINIEST
How many feet are in 1 yard?
Answer:
Step-by-step explanation:
there are 3 feet in a yard
1 foot = 12 inches
3 feet = 36 inches
36/12 = 3 feet
Naoki asked 200 students about their favorite movie genres. Of the 105 students who preferred comedy, 68 of them were girls. 94 of the students surveyed were boys. Construct a two-way table summarizing the data.
Here is the completed two-way frequency table:
Comedy Action Total
Boys 37 57 94
Girls 68 38 106
Total 105 95 200
How to complete the two-way table?Number of boys that prefer comedy = number of students that prefer comedy - Number of girls that prefer comedy
105 - 68 = 37
Number of boys that prefer action = total numer of boys - Number of boys that prefer comedy
94 - 37 = 57
Total number of students the prefer action = Total number of students - total number of students that prefer comedy
200 - 105 = 95
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Determine the intercepts of the line.
Do not round your answers.
Y=5x-13
Answer:
y intercept:(0,-13)
x intercept: (13/5,0)
Step-by-step explanation:
The way we find intercepts (both x and y) is to plug in zero.
x int:
We set y to 0:
0=5x-13
add thirteen to both sides
13=5x
x=13/5
y int:
set x to zero
y=5(0)-13
y= - 13
look at the screenshot
Answer:
37 is the answer for the first one because 600-45=555/15=37 and 270-15=255/15=17 for the second one.
math student55 or dino please help
1. since A^2= 36x^2, a=?
2. since b^2= 49, b=?
Answer:
a = ±6x
b = ±7
Step-by-step explanation:
1.
a² = 36x²
a = ±√(36x²)
a = ±6x
2.
b² = 49
b = ±√(49)
b = ±7
HELPP ME ITS BEEN SO LONG HELP PLEASEEE HELP PLEASEE HELPP Stevie needed twine for the gifts she was wrapping for a family party. The lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
20x = 1029y find the value of x and y.
Answer:
find value of X and y and you can get answers