Answer:
x = 5---------------------------------
Side BC is opposite to ∠BAC and adjacent sides are AB and AC.
Use the law of cosines:
BC² = AB² + AC² - 2AB*AC*cos ∠BAC
Substitute and solve for x:
(x + 2)² = (x + 3)² + x² - 2x(x + 3) cos 60°x² + 4x + 4 = x² + 6x + 9 + x² - 2(x² + 3x)*1/2x² + 4x + 4 = 2x² + 6x + 9 - x² - 3xx² + 4x + 4 = x² + 3x + 94x - 3x = 9 - 4x = 5The formula for the area of a rectangular piece of cardboard is A = lw. Elijah has a piece of cardboard that measures 25 cm long and 10 cm wide. What is the area of the piece of cardboard?
_____________sq. cm (Write just the number)
Thx!
Answer: 250
Step-by-step explanation:
25 is the length which is equal to l
10 is the width, which is equal to w
25*10 is the same as lw
25*10=250
A=lw
A=250
Answer: 250
Step-by-step explanation:
25- L
10- W
25x10=250
LW=A
An accountant charges a fee of $120 to complete a company's taxes. The accountant also charges an additional $40 per hour to complete the taxes. Which of the following equations can be used to describe this problem?
y = 40 + 120x
y = 40 − 120x
y = 120 + 40x
y = 120 − 40x
Answer:
y = 120+ 40x
Step-by-step explanation:
The $40 is the rate of change meaning that that would be the number that is next to the variable and the 120 is just staying there meaning it does not have a variable.
if accountant also charges an additional $40 per hour to complete the taxes then the equation y = 40 + 120x can be used to describe.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The fixed fee of $120 is represented by the constant term in the equation, and the additional fee of $40 per hour is represented by the coefficient of x.
As the number of hours worked by the accountant increases, the total fee also increases at a rate of $40 per hour, hence the linear equation.
The equation that can be used to describe the accountant's fee is:
y = 120 + 40x
In this equation, y represents the total fee, and x represents the number of hours worked by the accountant.
Hence, if accountant also charges an additional $40 per hour to complete the taxes then the equation y = 40 + 120x can be used to describe.
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Erin is going to knit scarves in different colors to sell and give as gifts. She plans to give away 3 scarves to her friends. Afterwards, Erin wants to have at least 25 scarves left to sell at her shop.
Let x represent how many scarves Erin should knit. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Erin should knit at least ----
scarves.
Answer:
Erin should knit at least 28 scarves.
Step-by-step explanation:
[tex]x - 3 \leqslant 25 \\ x -3 \geqslant 25 \\ x = 28[/tex]
K-Mart is open Monday through Saturday from 8:00 AM to midnight and Sunday from 10:00 AM to 8:00 PM. How many hours is it open in one week
Answer:
106 hours
Step-by-step explanation:
K-Mart is open Monday through Saturday from 8:00 AM to midnight and Sunday from 10:00 AM to 8:00 PM. How many hours is it open in one week?
24:00 - 8:00 = 16:00 (16 hours) per day Monday to Saturday
16:00 * 6 = 96:00 (96 hours) total Monday to Saturday
20:00 - 10:00 = 10:00 (10 hours) Sunday
96:00 + 10:00 = 106:00 (106 hours) total
Refer to the table. Which element makes up 1/400 of the human body?
Answer:
Step-by-step explanation:
Magnesium ,Potassium, Sodium,or sulfur
Answer:
Magnesium
Step-by-step explanation:
1/400 into percentage = 0.25
According to scientists, Magnesium makes up 0.25% (1/400) of the body.
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"One who performs his duty without attachment, surrendering the results unto the Supreme Lord, is unaffected by sinful action, as the lotus leaf is untouched by water." - Krishna, Bhagavad Gita 5.10
Thanks, I hope I helped
Miraculous21
How do you determine odd or even consecutive integers? ( x+?)
And how do you solve for the sum of them?
Ex: The sum of 5 consecutive integers is 505
What is the third number in this sequence?
Answer:
101
Step-by-step explanation:
Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Even numbers are numbers that end with 0, 2, 4, 6 or 8. The examples of consecutive even numbers are:0, 2, 4, 6, 8, 10, 12, ….
Odd numbers are numbers that end with 1, 3, 5, 7 or 9.
the product of -7 and a number squared is -28
Ill give 45 Points
Answer:
The number is 2
Step-by-step explanation:
product of two numbers is -28 one of the numbers is -7 and should be sq of some number. Hence number is 2
sq of 2 is 4
multiplying 4 and -7 we will get -28
7-×^(2)sq=-28
im so confusedddddddddd
Answer: $1.43
Step-by-step explanation: So, first you have to add his total bill (before taxes and the take-out) which is $8.33, then you add the fruit salad price ($2.99), and the tax ($2.25). You should get $13.57. Then, since he has the $10 & 5 dollar bills, you add that together to get $15. ($15.00) Now, subtract 13.57 from 15.00, and you should get $1.43 as the change. I hope this explanation helped.
What does the expression y−mx help you find? select all that apply.
Answer: Slope
Step-by-step explanation: y=mx+b is slope but if its y-mx its prolly y intercept
2u≤4
help please!!!!!!!!!!!
Answer:
u≤2
Step-by-step explanation:
2u≤4
Divide by 2 on both sides: u≤2
So there's your answer: u≤2!
:))))))))
Match each equation with the name of its form.
Answer: written below
stantard form: Ax+By=
point-slope form: (y-y1=m(x-x1
Slope intercept:Y=mx+
answers: 1&6 are standard form
2&4 are point slope form
5&3 are slope intercept
Step-by-step explanation:
help pleaseeeeeeeeeeeeeeeeeeeee
Answer:
NovelLego SetBicycleDon't have an explanation as it's pretty straightforward, but I hope this helps! Happy holidays!
Which operation would you do first in the following numerical expression?
10 - 4 ÷ 2 x 5
Group of answer choices
-Division
-Subtraction
-Addition
-Multiplication
Thx!
Answer: division
Step-by-step explanation: remember PEDMAS which is parentheses, exponents, divide, multiply, add, then subtract
Answer:
Division
Following the rules of BODMAS
he picture below shows the different phases of the Moon as it orbits around Earth.
Which moon is a first quarter moon?
a
T
b
R
c
S
d
Q
Answer:
S
Step-by-step explanation:
The first quarter of the moon is when half of the moon is light and the other half is dark for the first time in the moon cycle
Find the solution to the system of equations. -8x+4y=24 and -7x+7y=28
x=
y=
for any of the pet sitting services listed in the table, how many hours can you purchase before it would be cheaper to pay for one day.
Table if you need it
Number of pets =
One dog = $20 per day and $7 per hour
Two dogs = $25 per day and $9 per hour
One or Two Cats = $15 per day and $6 per hour
The amount i found for the recent question was $44
Answer:
One dog= 2 hours
Two dogs= 2 hours
One or Two cats= 2 hours
You would only be able to purchase 2 hours before it would be cheaper to pay for one day
Step-by-step explanation:
One dog: the hourly rate is $7
7x2 = $14 but 7x3 = $21
The daily rate is $20 so it would be cheaper to pay for the day after 2 hours.
Two dogs: the hourly rate is $9
9x2= $18 but 9x3= $27
With the daily rate being only $25, paying for anymore than 2 hours would be more expensive than paying for the day.
One or Two cats: the hourly rate is $6
6x2= $12 but 6x3=$18
Again, $18 is more than the daily rate of $15
You can purchase 2 hours before it would be cheaper to pay for one day.
"They'd all come running like pigs to slop."
What type of figurative language is seen in the sentence above?
simile
metaphor
hyperbole
She began to relax, listening to the sound filled silence.
Osimile
metaphor
oxymoron
10 points
Clear selection
10 points
Answer: Metaphor
Step-by-step explanation:
(I had D selected on accident xD) Which graph matches the information in the table?
Answer: A
Step-by-step explanation:
Shutting the car door I caught a familiar scent. Suddenly, it was summer and I was nibbling cookies in my aunt's old truck. Every year we'd head out for an adventure on our way to see cousins. My aunt would drive until she was bleary-eyed, belting out songs with the radio. I hummed a familiar tune and thought about her chocolate chip cookies. I haven't taken a road trip for a long time! Why does the author spend time giving details from past travels? The author flashes back to share a sense of curiosity and exploration. The author shares the information to warn readers about how tiring car travel can be. The author describes the memories to share happiness from time spent with an aunt.
Leandro has four cubes like this one: He sticks them together to form the solid shown here and paints it blue all over. A week later, he separates the four cubes. What fraction of the total number of faces is WHITE?
Answer:
Step-by-step explanation: Each cube has a total of 6 sides. In the model, the top cube has 1 "hidden" side/1 side that is not exposed to the paint, the bottom middle has 1 "hidden" side, the right bottom cube has 1 "hidden" side, and so does the left. Adding up all the sides that are not exposed to the paint, there is a total of 4 white sides.
Ten mangos and twelve avocadoes cost $23. Five mangos and four avocadoes cost $10. How much do one mango and one avocado cost?
Answer:
$2.15
Step-by-step explanation:
Let mango be m
Let avocado be a
10m + 12a = 23
5m + 4a = 10
Let's get rid of the mangos in the second equation
10m + 12a = 23
-2 x (5m + 4a = 10)
Now we get:
10m + 12a =23
-10m -8a = -20
Add both the equations and we get:
4a = 3
a = $0.75
since we know that one avocado is for $0.75, we can use this value to find the cost of one mango.
5m + 4a = 10
5m + 4(0.75) = 10
5m + 3 = 10
5m = 7
m = 1.4
So, we now know that a mango cost $1.4
To find the cost of one mango and one avocado:
a + m = 0.75 + 1.4 = 2.15
Therefore, the cost of one mango and one avocado is $2.15
The required cost of one mango is 1.4 and cost of one avocado is 0.75.
What is an equation ?An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
Given that,
Cost of ten mangos and twelve avocados is $23,
And cost of five mangos and four avocados is $10.
Let cost of mangoes be represented as M and cost of avocados be represented as A,
The equation can be written as,
10 M + 12 A = 23 (1)
5 M + 4 A = 10 (2)
By solving equation (1) and (2),
M = 7/5 = 1.4
N = 3/4 = 0.75
The cost of one mango is 1.4 and cost of one avocado is 0.75.
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t/3≥3
help i cant flunk
Answer: t≥9
Let's solve your inequality step-by-step:
t/3 ≥ 3
Step 1: Simplify both sides of the inequality.
1/3t ≥ 3
Step 2: Multiply both sides by 3.
3*(1/3t) ≥ (3)*(3)
t≥9
There are just 2 steps in this inequality, I hope this helps!
How do you simplify 42/6?
Group of answer choices
-Multiply the numerator and denominator by the common factor 6.
-Multiply the numerator and denominator by the 6.
-Change 42/6 to a mixed number
-Divide the numerator and denominator by the common factor 6.
Answer: Divide the numerator and denominator by the common factor 6.
Step-by-step explanation:
42 divided by 6 is 7, and 6 divided by six is 1
42 / 6= 7
6/6 =1
7/1=7
5 = 10x - 5y
Write in slope-intercept form & identify the y-intercept.
please show step-by-step & work.
thank you
Answer:
looookkkk attttt theee picture
Help what is this?!?!?!?!?!
Answer:
21
Step-by-step explanation:
y=6 x=9
5x6-9=21
Answer:
Step-by-step explanation:
so you can see that y=6 and x=9 so...
you do 5 times 6= 30
then x times 9=9 (x=1)
then do 30-9=21
HELP Which of the following shows the Associative Property of Multiplication? 9 × 5 = 5 × 9 8 × (3 + 11) = (8 × 3) + (8 × 11) 6 × 3 = 18 (7 × 2) × 9 = 7 × (2 × 9)
Answer:
9x5=5x9 I believe that's it
If X = 4, what is the value of X to the power of 2 - 2X
Group of answer choices
24
8
16
0
Thx a whole bunch!
[tex]x^{2-2x}[/tex] when x is 4
[tex]4^{2-(2)(4)}[/tex]
[tex]=0.000244[/tex]
Therefore, your answer would be:
[tex]\fbox{0}[/tex]
30 points if someone answers this quickly <3
Jacqueline has two part-time jobs. She earns $15 per hour, l, working as a lab assistant, and $12 per hour, s, working as a cashier. This is modeled by 15l+12s. Evaluate for l=5 and s=7 to find how much money Jacqueline will earn at her two jobs this week.
To find the total amount of money Jacqueline will earn this week, we need to substitute the values l=5 and s=7 into the expression 15l+12s and evaluate the result. This gives us 15*5+12*7=75+84=159. Therefore, Jacqueline will earn a total of $159 this week from her two part-time jobs.
Jacqueline will earn $159 at her two jobs this week.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given;
Jacqueline has two part-time jobs.
She earns $15 per hour, l, working as a lab assistant, and $12 per hour, s, working as a cashier.
This is modeled by 15l+12s.
We have the expression,
15l + 12s
To find the value of the expression:
Substitute the value of l and s to the expression.
We have l = 5 and s = 7.
So,
15(5) + 12(7)
= 75 + 84
= 159
Therefore, she will earn $159.
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Dela made 21 peanut butter sandwiches with a 12-ounce jar of peanut butter.
How many ounces of peanut butter did Dela use on each sandwich? Use any strategy to solve this problem.
Answer:
4/7
Step-by-step explanation:
divide the ounces used by the sandwiches
[tex] \frac{12}{21} = \frac{4}{7} [/tex]
While Shivani waits in line to pan for treasures at Wayville Mining Adventures, she can watch what other people find while panning. The table below shows the treasures found by one person that Shivani observed.
|Treasures| |Number found|
gold 3
emerald 2
petrified wood 6
fossil 4
topaz 1
arrowhead 2
Based on the data, what is the probability that Shivani's first panning find is a fossil?
Write your answer as a fraction or whole number.