Round each mixed number to the nearest whole number. Then, estimate the product. 8 9\10 x 1 4\5
EASY 10 POINTS QUESTION 6 PLEASEEEE HELP
Answer:
x = -2
Step-by-step explanation:
Does anyone know the differences and similarities between theorems and conjectures?
I searched on google but I didn’t understand! So in easy words please.. I’m sorry I’m dumb (;´༎ຶٹ༎ຶ`)
The difference between a theorem and a conjecture :-
Theorem :- Something which is true and can be proved .
I am giving a very simple example here .
Angle sum theorem :- sum of all angles in a triangle will be equal to 180° .
This is a theorem because every interior angle of a triangle will add up to 180° . It cannot change .
So , something that is definitely true and can be proved is a theorem .
Conjecture :- Something that is supposed to be true , but still hasn't been proved to be true .
Example :-
1a = 10
2a = 20
3a = 30
With this you can guess that 4a must be equal to 40 , but it can't be proved without using algebra .
Therefore , something which is likely to be true is a conjecture ( in maths ) .
the sum of three numbers is 78. the third number is 2 times the second. the first number is 6 less than the second. what are the numbers
Problem 4:
The hypotenuse of a right angled triangle is 20 cm. The difference between its other two sides is 4 cm. Find the length of the sides.
Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
Solve the inequality. c + 5 ≥ 10
Answer:
c≥5
Step-by-step explanation:
hope that helps :)
A plane ticket to New York costs 120 the tax is 9.5 what is the cost of the flight
I don't know how to explain it
Answer:
Sam's thinking was incorrect.
On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.
But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.
Step-by-step explanation:
Answer:
No, Sam was thinking was incorrect
Step-by-step explanation:
Sam's thinkin was incorrect when every time you add and negative to a negative it always become a positive number.
10 - (-6)
10 + 6 = 16
3b+2(b-3)=4 Solve for b.
Answer:
b = 2
Step-by-step explanation:
3b + 2(b - 3) = 4
--distributive property-- 2(b - 3) = 2b - 6
3b + 2b - 6 = 4
(add like terms)
5b - 6 = 4
(add 6 to both sides)
5b = 10
(divide both sides by 5 to get b alone)
b = 2
Zoe leaves Walmart traveling 9 mph. Just 12 hours later, Summer leaves Walmart, traveling the same
direction at 36 mph. How long until Summer catches up with and passes Zoe?
Answer:
4 hours after summer leaves she will have passes zoe
Step-by-step explanation:
What is the volume of the prism below
Answer:
D
Step-by-step explanation:
Volume= 1/2 (b*h*l)
((5*3*10)/2 = 75 Units^3
A company manufactures two products. A and B on two machines, I and II. It has been determined that the company will realize a profit of $3/unit of product A and $5/unit of product B. To manufacture a unit of product A requires 11 min on machine I and 7 min on machine II. To manufacture a unit of product B requires 19 min on machine I and 11 min on machine II. There are 5 hr of machine time available on machine 1 and 3 hr of machine time available on machine II in each work shift. How many units of each product should be produced in each shift to maximize the companies profit?
Answer:
product A on machine 1 would make 27 units (rounded down) 81 dollars profit.
product A on machine 2 would make 25 units (rounded down) 75 dollars profit.
product b on machine 1 would make 15 units (rounded down) 75 dollars profit.
product b on machine 2 would make 16 units (rounded down) 80 dollars profit.
Step-by-step explanation:
a1 refers to product a on machine 1
a2 refers to product a on machine 2
same rule applies for product b 1 and 2
Jordan has a garden that is enclosed by a rectangular fence. The perimeter of the garden is 84 feet. The length of one side of fencing is 8 yards. What is the area of Jordan's garden?
Answer: 432 ft^2
Step-by-step explanation:
See attached picture
6. Antonio's Pizzaria charges $10 for a large pizza, plus $1.50 for each additional topping.
Answer:
Cost: $11.50, $13, $14.50, $16, $17.50
Step-by-step explanation:
the pizza's 10 + 1.50x
its always 10 plus the price of the toppings
(x is the amount of toppings)
1) The Boateng family has a sickening house whose layout is shown
above. They would like to renovate just bedrooms #2 and 3. Because you
are a contractor, you receive 20% off from Home Depot whenever you
make any purchases. If Home Depot sells your client's ideal wool carpet
for $8.99 per square foot, how much will it cost to carpet both
bedrooms? (Keep in mind that 10'8" would be written as a decimal
approximation of 10.67 ft. Think about why this is.)
a) How many total square feet of carpeting will you need?
Answer:
The cost will be $1662.136
The total square ft of carpeting will be 231.1122ft^2
Step-by-step explanation:
For the bedrooms, the dimension from the image is shown as(see attahced)
Bedroom #2= 10"8' x10"4'
Bedroom #3= 10"8' x11"4'
let us convert all dimension to feet and solve for the area of the bedrooms
Bedroom #2= 10"8' x10"4'
Bedroom #2=10.67x10.33feet
Area of Bedroom #2= 110.2211ft^2
Bedroom #3 = 10"8' x11"4'
Bedroom #3 =10.67x11.33feet
Area of Bedroom #3= 120.8911ft^2
The total area of both rooms is
Total area=110.2211+120.8911
Total area=231.1122ft^2
now the cost of one square floor s $8.99
hence the cost of 231.1122ft^2 will be
Cost of carpet = 231.1122*8.99
Cost of carpet = $2,077.67
Given that, because you are a contractor, you will receive 20% off
therefore it will cost
= (20/100)*2,077.67
=0.2*2,077.67
=$415.534
The cost will now be $2,077.67-$415.534
= $1662.136
I tried many times to solve this question: Joy makes 6,5 litres soup correct to the nearest 0.5 litres. She serves the soup in 280ml portions correct to the nearest 10ml. 22 people order this soup. Does joy definitely has enough soup to serve the 22 people. show how you decide Your final line must be written as joy definitely does have enough soup or joy may not have enough soup. If you can please explain it if not just give the answer.
Joy makes 6.5 litres soup correct to the nearest 0.5 litres. She serves the soup in 280ml portions correct to the nearest 10ml. 22 people order this soup. Does joy definitely has enough soup to serve the 22 people.
Answer:
Yes, Joy definitely does has enough soup
Step-by-step explanation:
From the question, we know,
Joy make 6.5 litres of soup
Serves it in 280ml portions
Step 1
We convert the portions to liters
1 ml = 0.001 litre
280 ml
= 280ml × 0.001 litre/1 ml
= 0.28litre
Step 2
We divide 6.5 liters by 0.28 to find out how many people can be served
= 6.5 ÷ 0.28
= 23.2142857143 people
We can see that 6.5 liters soup can serve 23 people approximately.
Therefore, Yes, Joy definitely does has enough soup to serve 22 people
Calculate Social Security taxes, Medicare taxes, and FIT for Jordon Barrett. He earns a monthly salary of $13,400. He is single and claims 1 deduction. Before this payroll, Barrett’s cumulative earnings were $128,120. (Social Security maximum is 6.2% on $128,400 and Medicare is 1.45%.) Calculate FIT by the percentage method.
Answer:
Step-by-step explanation:
From the given information:
Social security taxes can be calculated as:
$128,400 - $128,120
= $280
Also, we know that the current monthly salary = $13, 400
So, social security tax is withheld by $280
This implies that:
Social security taxes = 280 × 0.062
= $17.36
The medical care taxes will now be:
= $13,400 × 1.45%
= $194.30
Using the percentage method to calculate the federal income tax; we have:
Use the tax bracket from 2017, marginal tax rate = 28%
∴
federal income tax = $13400 × 0.028
federal income tax = $3752
Which number is not in scientific notation?
A. 7.8 • 10^6
B. 1.45 • 10^-7
C. 0.33 • 10^-15
D. 9• 10^19
Answer:
C is not in scientific notation
Step-by-step explanation:
Answer:
c's not
Step-by-step explanation:
Help please I have a F and I’m confused..?
Answer:
x = -4
Step-by-step explanation:
x-5 = -9
Add 5 to each side
x-5+5 = -9+5
x = -4
Answer:
A. x = -4
Step-by-step explanation:
x - 5 = -9 (plus 5 on each side to get rid on 5 on the left side) so -9 + 5
x = -4
A bakery sold apple pies for $12 and blueberry pies for $14 on Saturday sold a total of 41 pies and collected a total of $536 how many apple pies did you sell and how many blueberry pies do they sell
Answer:
22 blueberry pies and 19 apple pies.
Step-by-step explanation:
This can be solved using a system of equations. Your equation for amount of pies sold is x + y = 41, with x representing apple pies and y representing blueberry pies, and 41 being the total amount of pies sold. The other equation is for the amount of dollars earned from selling the pies, which is:
12x + 14y = 536 $12 per apple pie, $14 per blueberry pie, and a total of $536.
Let's first solve for x. The new equation would be x = 41 - y. Now, we plug this equation into the second equation.
12(41 - y) + 14y = 536 Here we substituted x for the equation we made.
429 - 12y +14y = 536
-12y +14y = 44 Here we moved the 429 to the other side by subtracting it from the left and right.
2y = 44
y = 22. Now we know that there was a total of 22 blueberry pies sold. Now we plug 22 pies back into the very first equation to find x, the amount of apple pies.
x + 22 = 41
x = 19. Now we know there was a total of 19 apple pies sold.
Hope this helps!
Find the value of the variable.
Answer:
boom ganag
Step-by-step explanation:
Help me out thankkk you
Find the value of x
I’ll give you 44 points
Answer:
#1. 115
#2. 16.36
#3. 16.36
#4. 1.49
Step-by-step explanation:
#1. 180 - 65 = 115
#2. 180 ÷ 11 = 16.36
#3. 16.36
#4. 1.49
Hope this helped!
Pls Brainliest! It would mean a lot ;)!
Last Friday Mary had $28 over the weekend she received some money for washing the dog she now has $42 how much money does she receive
Answer:
14
Step-by-step explanation:
42-28
9. you work a part time job and got your first paycheck from $210. your hourly wage is $8.25. Write and equation that models this situation
a. 8.75 = 210x
b. 210 = 8.75 + x
c. 210 = 8.75 - x
d. 210 = 8.75x
10. you work a part time job and got your first paycheck from $210. your hourly wage is $8.75. how many hours did you work?
a. 3.5
b. 8
c. 4
d. 1
Answer:
9.= D
10.= 3.5
Step-by-step explanation:
Solving Inequalities
-6x+2>20
Answer:
first you subtract 2 from both sides
-6x>18
then you divide
-6 by 18 which is -3 and since you divided with a decimal that flips your sign so your answer is X<-3
Answer:
x<-3
Step-by-step explanation:
First, write the equation and subtract 2 on both sides.
-6x+2>20
-2 -2
-6x>18
Divide both sides by -6.
-6x>18
/-6 /-6
x<-3
(Remember, we have to flip the sign when multiplying or diving by a negative.)
Hope this helps! Have an amazing day C:
The formula for the density of a bacteria population is \dfrac NA A N start fraction, N, divided by, A, end fraction where there's an average of NNN bacteria in an area size AAA. Guang and Orion are doing an experiment in school for which they need to measure the density of a bacteria population after a certain solution has been introduced. Guang reports a density of 450045004500 bacteria per square centimeter and Orion reports a density of 505050 bacteria per square millimeter. Which one reports a higher density? Choose 1 answer:
Answer:
Guang reports a higher density of 4.5 × 10⁷ bacteria/m²
Step-by-step explanation:
Since Guang reports a density of 4500 bacteria per square centimeter and Orion reports a density of 50 bacteria per square millimeter, we convert both densities into bacteria per square meter to compare their values.
So, for Guang 4500 bacteria/cm² = 4500 bacteria/cm² × 10⁴ cm²/1 m² = 4500 × 10⁴ bacteria/m² = 4.5 × 10⁷ bacteria/m²
For Orion 50 bacteria/cm² = 50 bacteria/cm² × 10⁴ cm²/1 m² = 50 × 10⁴ bacteria/m² = 5 × 10⁵ bacteria/m²
Since 4.5 × 10⁷ bacteria/m² > 5 × 10⁵ bacteria/m², Guang reports a higher density of 4.5 × 10⁷ bacteria/m²
Answer:
B.) orion reports a higher desity than guang
Step-by-step explanation:
We found that Guang's reported density is 45 bacteria/ millimeter^2, while orion's reported density is 50 bacteria/ millimeter^2.
-232-(-508)
HELP !!!!!!!!
Answer:
276
Step-by-step explanation:
The minus reverses the negative too a positive then you subtract
4x-5x+7-9y+2x+34
(Simply)
Answer:
Hi there!
Your answer is:
x-9y +41
Step-by-step explanation:
4x-5x+7-9y+2x+34
COMBINE LIKE TERMS!
First, X
4x-5x+2x
-1x+2x
x
x+7-9y+34
Next, whole numbers
7+34
41
x-9y +41
What is 2x+1+7x=-8? Could you show work, please?
Answer:
Step-by-step explanation:
2x + 1 + 7x= -8
~2x + 7x = 9x
9x + 1 = -8
move 1 to the other side
9x = -1 -8
9x = -9
divide
X = -1
Answer:
Step-by-step explanation:
Simplifying
2x + -1 = 7x + -8
Reorder the terms:
-1 + 2x = 7x + -8
Reorder the terms:
-1 + 2x = -8 + 7x
Solving
-1 + 2x = -8 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
-1 + 2x + -7x = -8 + 7x + -7x
Combine like terms: 2x + -7x = -5x
-1 + -5x = -8 + 7x + -7x
Combine like terms: 7x + -7x = 0
-1 + -5x = -8 + 0
-1 + -5x = -8
Add '1' to each side of the equation.
-1 + 1 + -5x = -8 + 1
Combine like terms: -1 + 1 = 0
0 + -5x = -8 + 1
-5x = -8 + 1
Combine like terms: -8 + 1 = -7
-5x = -7
Divide each side by '-5'.
x = 1.4
Simplifying
x = 1.4