Answer:
8:20 or if you want it simplified 2:5
Step-by-step explanation:
Will choose Brainliest.
Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80.
How many more cookies will Jessica have than Martha?
If x represents the number of cookies Jessica started with, complete the statements below.
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.
That part is total cookies as per algebraic formula x^2-(a+b)x+ab=0
Hence
The inequality is
[tex]\\ \rm\rightarrowtail x^2-30x+224>=0[/tex]
[tex]\\ \rm\rightarrowtail (x-14)(x-16)>=0[/tex]
[tex]\\ \rm\rightarrowtail 14\leqslant x\leqslant 16[/tex]
Solution range
[14,16]Atleast means the range
16-142Atleast 2 more than Martha
Evaluate the quotient of 1.05 x 103and 1 x 103:
1.05 x 10 -6
1.05 x 10 9
1.05 x 10 6
1.05 x 10 0
Answer:
1.05 x 10^0.
Step-by-step explanation:
1.05 x 10^3 / 1 x 10^3
= 1.05/1 x 10^(3-3)
= 1.05 x 10^0
A rental car company charges $36.39 per day to rent a car and $0.09 for every mile
driven. Miguel wants to rent a car, knowing that:
He plans to drive 225 miles.
• He has at most $480 to spend.
Which inequality can be used to determine x, the maximum number of days Miguel
can afford to rent for while staying within his budget?
Answer:
12 days
Explanation:
480 >/= 36.39x + 20.25
The inequality to determine x, the maximum number of days Miguel
can afford to rent while staying within his budget is
202.5 + 36.39x ≤ 480
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Charges per day = $36.39
Charges per mile = $0.90
Total miles = 225
Total charges for 225 miles.
= 225 x 0.90
= $202.5
The maximum amount to spend = $480
The inequality for the maximum number of x days.
202.5 + 36.39x ≤ 480
Thus,
The inequality to determine x, the maximum number of days is
202.5 + 36.39x ≤ 480
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Hello people ~
what's the product of the square root of 3 and the square root of 12
Answer:
6
Step-by-step explanation:
sqrt(3) x sqrt(12) = sqrt(3) x sqrt(4x3) = sqrt(3) x 2sqrt(3)
= 2 ( sqrt(3)² ) = 2 x 3 = 6
Let's see
[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{12}[/tex]
[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{2(2)(3)}[/tex]
[tex]\\ \rm\rightarrowtail \sqrt{3}\times 2\sqrt{3}[/tex]
[tex]\\ \rm\rightarrowtail 2(3)[/tex]
[tex]\\ \rm\rightarrowtail 6[/tex]
Solve the system of equations by substitution. X + y = 32 y = 7x The solution of the system is (Simplify your answer. Type an ordered pair.)
if you can can you please write out the steps
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
The given equations are :
[tex]\qquad \sf \dashrightarrow \:x + y = 32[/tex]
and
[tex]\qquad \sf \dashrightarrow \:y = 7x[/tex]
Now, plug in the value of y from equation 2 into equation 1 to find out the value of x ~
[tex]\qquad \sf \dashrightarrow \:x + y = 32[/tex]
[tex]\qquad \sf \dashrightarrow \:x + 7x = 32[/tex]
[tex]\qquad \sf \dashrightarrow \:8x = 32[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 32 \div 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 4[/tex]
Now, plug the value of x in equation 2 to find y
[tex]\qquad \sf \dashrightarrow \:y = 7x[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 7 \times 4[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 28[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
Solve for X. Leave your answer in the simplest radical form.
Image down below!
Someone please help me with this, I’ll give you brainlist and points!
Answer:
√20 which can be written as 2√5
solve for x.
x/2 + 6 = 24
Answer:
[tex]\displaystyle 36 = x[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{2} + 6 = 24 \hookrightarrow 18[2] = \frac{x}{2}[2] \\ \\ \boxed{36 = x}[/tex]
I am joyous to assist you at any time.
Hey there!
x/2 + 6 = 24
1/2x + 6 = 24
SUBTRACT 6 to BOTH SIDES
1/2x + 6 - 6 = 24 - 6
CANCEL out/ 6 - 6 because it give you 0
KEEP: 24 - 6 because it help solve for the x-value
NEW EQUATION: 1/2x = 24 - 6
SIMPLIFY IT!
1/2x = 18
MULTPLY 2 to BOTH SIDES
1/2x * 2 = 18 * 2
CANCEL out: 1/2 * 2 because it give you 1
KEEP: 18 * 2 because it help solve for the x-value (it actually give you the x-value)
NEW EQUATION: x = 18 * 2 or x = 2 * 18
SIMPLIFY IT!
x = 36
Therefore, your answer is: x = 36
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
On Saturday, the temperature was
75.5°F. The temperature rose by
6°F on Sunday, then dropped by
3.5°F on Monday. Write an expression
to represent how the temperature
changed. What was the temperature
on Monday?
Answer:
78°F
Step-by-step explanation:
75.5°F on Saturday...
75.5 + 6 = 81.5 on Sunday
81.5 - 3.5 = 78°F on Monday
The expression that represents the temperature change is
N = L + 6°F + 3.5°F
The temperature on Monday is 85°F.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Temperature:
Saturday = L= 75.5°F ______(1)
Sunday = M = Rose by 6°F
M = L + 6 _____(2)
Monday = N = Dropped by 3.5°F
N = L + 6 - 3.5 _____(3)
The expression that represents the temperature change:
From (1), (2), and (3) we get
N = L + 6°F + 3.5°F
The temperature on Monday:
N = 75.5 + 6 + 3.5
N = 85°F
Thus,
The expression that represents the temperature change is
N = L + 6°F + 3.5°F
The temperature on Monday is 85°F.
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please help!! it is due today and i will give 50 points
Answer:
E) 36 ft²
Step-by-step explanation:
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthThe shape is made up of 2 congruent triangles and 3 different rectangles.
Area of triangle = 1/2 x 3 x 4 = 6 ft²
Area of rectangle 1 = 2 x 4 = 8 ft²
Area of rectangle 2 = 2 x 3 = 6 ft²
To calculate the area of the 3rd triangle, we need to use Pythagoras' Theorem to determine the length of the hypotenuse of the right triangle.
a² + b² = c²
⇒ 3² + 4² = c²
⇒ 25 = c²
⇒ c = √(25)
⇒ c = 5 ft
Therefore, area of rectangle 3 = 2 x 5 = 10 ft²
Total Surface Area
Total SA = 2 triangles + rectangle 1 + rectangle 2 + rectangle 3
= (2 x 6) + 8 + 6 + 10
= 36 ft²
The students in a class collected data on the number of minutes some of them spend
brushing their teeth every day. That data is shown in the dot plot below.
What was the median number of minutes students brushed
their teeth?
Answer:
2.5
Step-by-step explanation:
BASED ON GIVEN DATA:
⇒ 2 STUDENTS SPENT 2.5 (2 1/2) MINUTES
⇒ 1 STUDENT SPENT 3 MINUTES
⇒ 1 STUDENT SPENT 4.5 MINUTES
THE MOST COMMON AMOUNT OF TIME TAKEN IS 2.5 MINUTES BECAUSE OF THE 2 STUDENTS.
Answer: 0.5 minutes
Step-by-step explanation:
Graph a rectangle with an area of 12 square units. State the lengths of each of the sides. Write your answer LxW (length of one side X length of the other side) please help
A rectangle with area of 12 square units would have sides of length 4 units and 3 units. Area would therefore be 4 x 5.
What are the side lengths of this rectangle?A rectangle must be such that one side is longer than the other side.
The area of a rectangle is found as:
= Length x Width
As the area is 12, the length and width have to be numbers that when multiplied, will give you 12.
The factors of 12 which allow this to happen are:
= 1, 2, 3, 4, 6, 12
From here you can use 3 and 4.
Find out more on the area of a rectangle at https://brainly.com/question/2607596.
Write the word sentence as an inequality.
the sum of a number w and 2.56 is at least 10.24
Answer:
w + 2.56 ≥ 10.24
Step-by-step explanation:
The least w + 2.56 could be is 10.24 which means that w + 2.56 could be more than 10.24
A number line going from negative 10 to positive 10. Use the number line to help you answer the question. Which statements are true? Check all that apply. –4 < –8 |–4| < |–8| |–5| > 1 –5 > |1| |–2| = |2|
Answer:
2. |-4| < |-8|
3. |-5| > 1
5. |-2| = |2|
Answer:
2,3,5 are correct
Step-by-step explanation:
i took the test
-5x-21 find value of x
Answer:
The value of x = -21/5
Step-by-step explanation:
=> -5x-21 =0
=> -21 = 5x
=> -21/5 = x
Answer:
Step-by-step explanation:
you want to set the equation equal to 0
-5x - 21 = 0
add 21 to both sides to get the variable by itself
-5x = 21
divide both sides by -5
x = - 21/5
How you should answer:
1. Known:
2.Unknown:
3.Rationle:
4.Equation and Solution:
Steps on how to answer:
-State the known
-State the unknown and represent it with a variable
-Provide a rationale for your approach
-Include the equation, exact answer, and decimal approximation
Question 1
Focus on the triangle on the left.
sine is the ratio of opposite over hypotenuse
sin(angle) = opposite/hypotenuse
sin(44) = w/30
w = 30*sin(44)
w = 20.839751 approximately
Now move onto the triangle on the right. We'll use cosine this time.
cos(angle) = adjacent/hypotenuse
cos(x) = w/45
cos(x) = 20.839751/45
cos(x) = 0.463106
x = arccos(0.463106) ... arccosine is the same as [tex]\cos^{-1}[/tex]
x = 62.412286
Answers:w = 20.839751 approximatelyx = 62.412286 approximately==========================================================
Question 2
Focus on the triangle on the left.
sin(angle) = opposite/hypotenuse
sin(32) = w/5
w = 5*sin(32)
w = 2.649596
Now move to the triangle on the right.
sin(angle) = opposite/hypotenuse
sin(x) = w/5
sin(x) = 2.649596/5
sin(x) = 0.5299192
x = arcsin(0.5299192) .... arcsine is the same as [tex]\sin^{-1}[/tex]
x = 31.999996
Answers:w = 2.649596 approximatelyx = 31.999996 approximately==========================================================
Question 3
This time we use the tangent ratio.
Focus on the triangle that has legs of w and 16.
tan(angle) = opposite/adjacent
tan(70) = 16/w
w*tan(70) = 16
w = 16/tan(70)
w = 5.823524
Now let y = x+w and focus on the largest triangle this time.
tan(angle) = opposite/adjacent
tan(41) = 16/y
y = 16/tan(41)
y = 18.405895
This leads to:
y = x+w
x = y-w
x = 18.405895 - 5.823524
x = 12.582371
Answers:w = 5.823524 approximatelyx = 12.582371 approximatelytype of angle that has the sallest measure
Answer: acute angle
Step-by-step explanation: acute angle is the smallest starting from 0 to 90 DDegrees .
If x = 2and y = - 2 , find the value of 4x ^ 2 * y ^ - 2
=========================================================
Plug in the values of the variables & simplify:-
[tex]\longrightarrow\pmb{4x^2y^2}[/tex]
The values of the variables are:-
[tex]\bigstar{\boxed{x=2~and~y=-2}[/tex]
Simplify:-
[tex]\longrightarrow\pmb{4(2)^2(-2)^2}[/tex]
[tex]\longrightarrow\pmb{4*4-4}[/tex]
[tex]\longrightarrow\pmb{16-4}[/tex]
[tex]\longrightarrow\pmb{12}[/tex]
==========================================================
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
the answer for this is 4.
You worked
44 hours. 40
regular hours a
$8.50 and 4
overtime hours. What would be your gross pay?
Answer:
$391.00
Step-by-step explanation:
Typically, regular work hours are paid at the rate given ($8.50), and overtime is "time and a half", or 1.5 times the regular pay.
We will get paid 40 hours at $8.50, and 4 four hours at 1.5x$8.50:
[tex]40(8.5)+4(1.5)(8.5)\\340+51\\391[/tex]
You will get paid $391.00 in gross pay, before taxes :)
Mary has $311.75 to convert into yen. the currency exchange she is using charges a surcharge of 6% when converting currency. about how many more yen will mary receive if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate? a. ¥1,125 b. ¥1,513 c. ¥1,609 d. ¥1,706
Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than that of the least favorable exchange rate.
What is the exchange rate?It is the factor by which currency conversion of two countries is done.
The most Favorable day is Friday because the exchange rate on Friday is the highest.
So, Mary will receive on Friday= 311.75 x 92.7120 x 94/100
Mary will receive on Friday(a)=27168.788 Yen
The least Favorable day is Wednesday because the exchange rate on Wednesday is the least.
So, Mary will receive on Wednesday= 311.75 x 87.5507 x 94/100
So, Mary will receive on Wednesday(b)= 25,656.2949 Yen
Difference between (a) and (b) = 1512.4931 Yen
Hence, Mary will receive 1512.4931 more Yen if she makes her trade on the day with the most favorable exchange rate than if she makes her trade on the day with the least favorable exchange rate.
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Whitney flips a coin and gets heads 45% of
the time.
She gets heads 54 times.
How many times did she flip the coin?
convert 0.001 * km ^ 3 into m ^ 3
Answer:
[tex]1,000,000 \: {m}^{3} [/tex]
Step-by-step explanation:
[tex]0.001 \: {km}^{3} \\ \\ = 0.001 \times {(1000)}^{3} \\ \\ = 0.001 \times 1,000,000,000 \\ \\ = 1,000,000 \: {m}^{3} [/tex]
answer question pls I will give brainliest
Answer:
6 x 4 x 4
Step-by-step explanation:
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! A local grocery store released the following statistics on the average volume of products sold per month in its two branches over the past six months.
Answer:
a. House hold laundry
b. Beverages
c. Snacks
Step-by-step explanation:
Do mark brainliest.
#a
For branch A
Household laundryFor branch B
Snacks#b
For branch A
snacksFor branch B
Canned goods#c
Branch A
20+25+15+28+20108Branch B
20+18+30+23+20111Branch B performed better
HELP!!!!!HELPPPPPPPPP!
Answer: answer C.
Step-by-step explanation: you have to add and divide
A sample of 100 students was randomly selected from a middle school in a large city. These participants were asked to select their favorite type of pizza: pepperoni, cheese, veggie, or Hawaiian. pizza preference and gender were recorded for each participant. The results of the survey are summarized in the table
The variables of the hypothesis test include the favorite type of pizza and the gender
The null hypothesis is Favorite pizza and gender are independent
How to determine the null hypothesis?
From the complete question, the variables that are measured are:
Favorite type of pizzaGenderThe null hypothesis of a test used the equality statement.
So, the null hypothesis would be
Favorite pizza and gender are independent
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this polygon has an area of 72 square centimeters what is the height of the parallelogram
Select the expression that represents the following problem: A glass hols 1/4 liter of liquid. How many glasses of liquid are in 5 liters
1 glass..........1/4 liter
n glass.......... 5 liters
n = 1 x 5 : 1/4
n = 5 x 4
so there are 20 glasses
Using technology, determine the semi-annual payment on a 3 year loan of $8,561 at 9. 1% compounded semi-annually. Round your answer to the nearest cent. A. $1,662. 47 c. $1,925. 92 b. $1,914. 11 d. $1,991. 12.
The semi-annual payment is $1662.47
What will be the semi annual payment?Given : A 3 year loan of $8,561 at 9.1% compounded semi-annually.
We have to determine the semi annual payment.
We know,
[tex]P=\dfrac{PV.r}{1-(1+r)^{-n}}[/tex]
Where PV is present value of loan.
r is rate of interest
n is time period.
Given loan is calculated semi annually,
So PV = $ 8561
r=9.1 % =9.1/200
and time period is 3 years = 6 number of period as semi annually.
Thus, Substitute,
We get,
[tex]P=\dfrac{8561(\dfrac{9.1}{200})}{1-(1+\dfrac{9.1}{200})^{-6}}[/tex]
[tex]P=1662.47[/tex]
Hence the semi-annual payment is $1662.47
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The coach of Darnel's baseball team recorded how many runs the team scored in each game last season. This box plot shows the results. please
The fraction of the game that Daniel's team scores 2 or more runs is 1/4 of the game.
What are box plots?A box plot is used to study the distribution and level of a set of scores. Scores are distributed into 4 groups. Each group has a value of 25%
The first quartile, is the first line on the box. The first quartile represents 1/4 of the score.
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Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? 4x2 216x 2,592 = 0 4x2 216x − 684 = 0 2x2 216x − 3,276 = 0 x2 108x 3,276 = 0.
The quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
As it is given that the length and the width of the centre area are 72 inches and 36 inches, respectively. When the dimensions of the centre area are converted into the feets, it will be,
[tex]\rm Length = \dfrac{72\ inches}{12} = 6\ feet[/tex]
[tex]\rm Width= \dfrac{36\ inches}{12} = 3\ feet[/tex]
If we take the borders of the table into account, the length and the breadth of the table will become,
Length = (6+x+x) = (6+2x)
Width = (3+x+x) = (3+2x)
We know that the area of a rectangle is given as the product of the length and width, and also it is mentioned that the area of the entire table is 3,276 square feet. Therefore, the area of the table can be written as,
[tex]{\rm Area=Length \times Width}\\\\3276 = (6+2x)(3+2x)\\\\3276= 18+ 12x+ 6x + 4x^2\\\\4x^2+18x+18-3276=0\\\\4x^2+18x-3258=0\\[/tex]
Thus, the quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.
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