Answer:
C. x - 4
Step-by-step explanation:
The best way to do this is to first take out GCF
6(x² - x - 12)
Then we factor
6(x - 4)(x + 3)
We can now see our answer.
Answer:
6 ( x-4) (x+3)
Step-by-step explanation:
6x^2 - 6x - 72
factor out a 6
6 ( x^2 - x - 12)
What 2 number multiply to -12 and add to -1
-4*3 = -12
-4+3 = -1
6 ( x-4) (x+3)
Last year the cost of a season ticket for a Rugby club was £370
This year the cost of a season ticket for the club has been increased to £450
Write down the increase in the cost of a season ticket as a fraction of last
year's cost.
Answer:
22% approximately
Step-by-step explanation:
The increase was from £370 to £450, or £80.
As a fraction of last year's cost, this is
£80
-------- = 22% approximately
£370
i need help in algebra
Answer: No
Step-by-step explanation:
Because there is more than one 3 in the following ordered pair. If you make this a table it will be easier.
Answer:
No
Step-by-step explanation:
It would be yes only if the output (y-value) has values one time.
There are double 2s in the output so therefore your answer would be no
Hope this helps!
Hi can anyone help me with question 1 and 3
Answer:
292 and 2092
Step-by-step explanation:
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
Total : 240 + 600 + 90 = 730
So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292
Total: 292 + 1800 = 2092
The total cost of paint would be 2092 dollars.
The area of the cuboid is the sum of product of the length, breadth of the given prism.
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
The Total area: 240 + 600 + 90 = 730
So, The cost of painting = 730/25 x 10
= 29.2 x 10
= 292
Total: 292 + 1800 = 2092
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Find the distance between the points (-5,-2) and (7,3).
Answer:
Step-by-step explanation:
What is the total surface area of the figure shown?
Answer:
Surface area of the figure = 1000 in²
Step-by-step explanation:
From the figure attached,
Two rectangular prisms A and B have been shown with the dimensions.
Surface area of a rectangular prism = 2(length + width) × height
Surface area of prism A = 2(9 + 10) × 20
= 760 in²
Surface area of prism B = 2(15 + 10) × 8
= 16×25
= 400 in²
But one surface of prism B along the width and the same area of prism A are hidden.
Area of the hidden surfaces = 2(10 × 8)
= 160 in²
Total surface area of the figure = 760 + 400 - 160
= 1000 in²
There were 200 melons in a box and they were distributed to 3 children in the ratio of 4:3:3. The first child sold the melons at 2$ each while the other two sold the melons at 2 for 5$. find the total amount of money collected fro. the sales of all melons.
Answer:
$460
Step-by-step explanation:
let the number of melons be x
4x + 3x + 3x = 200 melons
10x = 200 so, x will be 20
4x = 80 melons
3x = 60
3x = 60
amount made by 1st child = 80 × $2 = 160$
the remaining melons are 60 + 60 = 120
amount collected: they sold them in groups of 2 and each group was $5. so,
120÷2 × $5 = $300
total amount = 300 + 160 = $460.
What equation represents 3 less than the product of 7 and a number is 4 more than the number
Can some one help with the following please…???
Answer:
5. 8
6. 18
Step-by-step explanation:
5.
a(a^2 + a - 1) + 7 =
= a^3 + a^2 - a + 7
For a = -1,
= (-1)^3 + (-1)^2 - (-1) + 7
= -1 + 1 + 1 + 7
= 8
6.
2ab(a + b) - 3ab(a - b) =
= 2a^2b + 2ab^2 - 3a^2b + 3ab^2
= -a^2b + 5ab^2
For a = 1 and b = 2,
= -(1)^2(2) + 5(1)(2)^2
= -1(2) + 5(4)
= - 2 + 20
= 18
Answer:
Step-by-step explanation:
a(a^2 + a -1) +7
a^3+a^2-a+7
f(-1)=(-1)^3+(-1)^2-(-1)+7
f(-1)=-1+1+1+7
f(-1)=0+1+7
f(-1)=8
2ab(a+b)-3ab(a-b)
2a^2*b+2ab^2-3a^2*b+3ab^2
−a^2*b+5ab^2
when a=1 and b=2
−a^2*b+5ab^2
−(1)^2*2+5*1*2^2
-1*2+5*1*4
-2+5*4
-2+20
18
Aliyah wants to estimate the value of the quotient of 5.68 times 10 Superscript negative 3 and 8.54 times 10 Superscript negative 9. Which statement about the value is true? The value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number. A number in scientific notation with a positive exponent has a value greater than 1. The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1. The value will be less than 1 because 5.68 divided by 8.54 is less than 1. The negative exponents will make it even smaller. The number will be less than 1 because 5.68 times 10 Superscript negative 3 is a very small number and division always makes the size of a number smaller.
Answer:
b
Step-by-step explanation:
Answer:
b or The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.
Step-by-step explanation:
WILL GIVE BRAINLEIST TO WHOEVER GETS IT RIGHT
Answer:
Brainliest!!! :) XD =D
Step-by-step explanation:
m<Q = 93 m<R = 87
the screenshot shows the answers
Can someone please help me with this I don’t get it please help me
Answer:
13.3
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
AM AN
---------- = ------------
AM+AB AC
6 8
---------- = ------------
6+4 AC
Using cross products
6AC = 8 * 10
6AC = 80
Divide by 6
AC = 80/6
AC =13 1/3
AC = 13.33333
Answer:
11
Step-by-step explanation:
add
Help with math pls Question: Which ratio tables are correct? (Also: Select *all* that apply) Which means there is more than one answer...
Answer:
b
Step-by-step explanation:
Find the area of the triangle. a. 620 sq. m c. 100 sq. m b. 200 sq. m d. 180 sq.m
Answer:
100 sq. m
Step-by-step explanation:
So, first, we need to know the formula for the area of a triangle.
A=BH/2
In this case, we know the base and the height (B and H respectively), and we just fill it out.
A=10*20/2
A=200/2
A=100.
Lastly, don't forget the units, so, A=100 sq. m
Answer:
c 100
Step-by-step explanation:
Zia was driving his truck on the super highway. His speed was recorded by the motorway camera between 6:00am to 8:30am. He covered a distance of 250km during this time. Calculate his average speed between this time duration?
Answer:
100 kilometers per hour.
Step-by-step explanation:
Since he covered a distance of 250 km in a time range of 2 and a half hours, his average speed in kilometers per hour is 250 / 2.5, which is 100 kilometers per hour.
Answer:
100km / hr
Step-by-step explanation:
Given That:
Time = between 6.00 and 8.30 = 2 1/2 hours
Distance = 250 k m
We Know that :
Speed = Distance divided by time.
Unit of speed, appropriate here = km/h
thus, Speed = 250/2.5 = 100km/hr.
Hope this helps
Can anyone answer this
Answer:
B. 1395 sq. units
Step-by-step explanation:
Since the shape is an octagon, it is also composed of 8 triangles. If you solve the formula for the area of a triangle with those numbers and multiply it by the amount of sides you will have the total area.
Answer:
B. 1395 sq. units
Step-by-step explanation:
A=2(1+[tex]\sqrt{2}[/tex])a²
A=2(1+[tex]\sqrt{2}[/tex])17²
A=2(1+[tex]\sqrt{2}[/tex])289
A≈4.83×289
A≈1395.87
A≈1395 units²
The option that fits this is B. 1395 sq. units
round 5.1961 to the nearest tenth
Answer:
5.2
Step-by-step explanation:
If the number is above .5, you round up. For example, numbers like 2.44 are rounded down to 2.4, and numbers like 2.48 are rounded up to 2.5.
In this case, with the number 5.1961, you would round up to 5.2.
Your answer is 5.2
Answer:
5.2
Step-by-step explanation:
ones. tenths hundredths thousandths ten thousandths
5 . 1 9 6 1
We are rounding to the nearest tenth so we look at the thousandths
It is 5 or higher so we round the tenths place up
5.2
Tony has $20. He wants to buy at least 4
snacks. Hot dogs (x) are $3 each.
Peanuts (y) are $2 each.
Tony has $20. He wants to buy at least 4
snacks. Hot dogs (x) are $3 each.
Peanuts (y) are $2 each.
Answer:
To solve the above question, we use the below inequality equations
x + y ≥ 4 snacks .........Inequality equation 1
3x + 2y ≤ $20 ..........Inequality equation 2
Step-by-step explanation:
We can make use of the inequality equations
Hot dogs = (x) are $3 each.
Peanuts = (y) are $2 each.
He wants to buy at least 4
x + y ≥ 4 snacks .........Inequality equation 1
3x + 2y ≤ $20 ..........Inequality equation 2
From the above inequality equations, Tony can buy at least 4 snacks but he can only spend $20.
Let take a random number, where x = 4, and y = 4. This means Tony can buy
a) 4($3) + 4($2) = 12 + 8 = $20
The total number of snacks = 4 + 4 = 8 snacks.
b)
This answer above confirms the inequality equations 1 and 2
x + y ≥ 4 snacks .........Inequality equation 1
8 snacks ≥ 4 snacks
3x + 2y ≤ $20 ..........Inequality equation 2
$20 ≤ $20
Answer:
4 is the first one and the second one is ---->
Total Price: 3x + 2y ≤ 20
Step-by-step explanation:
Let's complete the inequalities that represent Tony's situation.
Given:
Tony wants to buy at least 4 snacks.
Hot dogs (x) are $3 each.
Peanuts (y) are $2 each.
We can form the following inequalities:
Total Snacks: Tony wants to buy at least 4 snacks, which can be represented by the inequality:
x + y ≥ 4
This inequality ensures that the sum of hot dogs (x) and peanuts (y) is greater than or equal to 4, indicating that Tony wants to buy at least 4 snacks in total.
Total Price: To represent the total price, we need to consider the cost of each snack. Hot dogs are $3 each, and peanuts are $2 each. Thus, the total price can be represented by the inequality:
3x + 2y ≤ 20
This inequality accounts for the total cost of the snacks Tony wants to buy. The left-hand side represents the cost of x hot dogs ($3 each) and y peanuts ($2 each), and the inequality ensures that the total cost does not exceed Tony's available budget of $20.
Therefore, the completed inequalities are:
Total Snacks: x + y ≥ 4
Find the inverse of the function y = 2x^2 +2
It would be
[tex] \sqrt{ \frac{x - 2}{ 2} } [/tex]
I hope this is what you're looking for!
Zen rolled a fair six-sided die 12 times. The table below shows the number of times each number was rolled: According to the results in the chart, what is the experimental probability of getting a number greater than 3 on the die? A. 3/12 B. 6/12 C. 9/12 D. 8/12
Answer:
D
Step-by-step explanation:
Out of the 0 + 3 + 1 + 2 + 2 + 4 = 12 trials, the numbers 4, 5, and 6 (the numbers greater than 3) appeared 2 + 2 + 4 = 8 times so the probability is 8 / 12.
Answer: it’s D 8/12
Step-by-step explanation:
I did the quiz
Who is taking in more calories if the small bags of Snickers are the exact same size: A person in a group where 5 people are sharing 3 small bags of Snickers or a person in a group where 7 people are sharing 2 small bags of Snickers?
Answer:
the person in the group of 5
Jill wants to buy either a ball pen or an ink pen. Both pens come in 4 styles. Find the number of possible choices. *
Answer:
He has 8 possible choices
Step-by-step explanation:
Here, we want to know the number of choices Jill has.
He wants to buy either of the 2 pens.
In the first set , he has 4 styles to choose from
In the second set, he has also 4 styles to choose from
So his total number of possible choices would be 4 + 4 = 8 possible choices
Instructions: Find the circumference of the circle and round to the nearest tenth.
3.2 yd.
Circumference =
yd.
Can u get help?
Answer:
the answer is 20.1 yd
Step-by-step explanation:
circumference= 2πr
where r is 3.2
pi is 22/7
c = 2/1 × 22/7 × 3.2/1
c = 140.8/7
c = 20.1 yd
The circumference of the circle is 20.12 yd. if the radius of the circle is 3.2 yd the answer is 20.12 yd.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have a circle shown in the picture.
The radius of the circle = 3.2 yd
As we know,
The circumference of the circle can be calculated using the formula:
C = 2πr
Here,
C is the circumference of the circle
r is the radius of the circle
r = 3.2 yd
C = 2π(3.2)
Take π = 22/7
C = 6.4π(22/7)
C = 140.8/7
C = 20.114
After round to the nearest tenth:
≈ 20.12 yd.
Thus, the circumference of the circle is 20.12 yd. if the radius of the circle is 3.2 yd the answer is 20.12 yd.
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2 less than a number times 6
in 1975 the population of the village was 900 it increased by 30% the following year what was the population of the year 1976
Answer:
1170
Step-by-step explanation:
Total Population = 900
Annual rate of increase = 30 % of 900
=> [tex]\frac{30}{100}*900[/tex]
=> 30 * 9
=> 270
Population next Year = 900+270
=> 1170
What is the final amount if 1885 is increased by 5% followed by a further 18% increase?
Give your answer rounded to 2 DP.
Answer:
Answer = 2,335.52
Step-by-step explanation:
Given amount : 1,885
Finding 5% of 1,885 = 0.05 * 1,885
5% of 1885 = 94.25
Now 1885 increased by 5% = 1,885 + 94.25= 1,979.25
Finding further 18% of 1,979.25 = 0.18 * 1,979.25
18% of 1979.25 = 356.265
Final amount = 1,979.25 + 356.265
Final Amount = 2,335.515
Now Rounding off the answer to 2 decimal points we get:
Answer = 2,335.52
(As the third digit after decimal is 5 so previous will be added b 1)
James buys a shirt and a pair of socks on sale for 25% off. If the price of the shirt before the sale was $24 and he spent a total of $24, what was the original price of the socks? Enter your answer in the box.
Answer:
The price of the socks is dollar 8
Pls mark nrainliest
Answer:
$8
Step-by-step explanation:
Using the information we already know, we can form an equation:
Let x be the socks' original price.
[tex](24+x)[/tex] × [tex]0.75=24[/tex]
Divide both sides by 0.75
[tex]24+x=32[/tex]
Subtract 24 from both sides
[tex]x=8[/tex]
The socks' original price was $8.
The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.
The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.
Anna is on holiday in Portugal. She posts 15 postcards to the UK on Monday.
How many of her postcards can she expect to be delivered within a week?
Answer:
She expect 9 postcards to be delivered within a week.
Step-by-step explanation:
We are given that The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62
We are also given that The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.
Now we are supposed to find How many of her postcards can she expect to be delivered within a week if She posts 15 postcards to the UK on Monday.
So, The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week =0.62
She expect no. of postcards to be delivered within a week.= [tex]15 \times 0.62[/tex]
She expect no. of postcards to be delivered within a week.=9.3
So, She expect 9 postcards to be delivered within a week.
A semicircle is inscribed in an isosceles triangle with base 16 and height 15 so that the
diameter of the semicircle is contained in the base of the triangle as shown. What is the
radius of the semicircle?
Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059
The simplest form of StartRoot 80 EndRoot can be written as a StartRoot b EndRoot, where a = and b =
Answer:
4√5
Step-by-step explanation:
√80 = √16 times √5
√16 = 4
4 times √5
4√5
Answer:
A=4 B=5
Step-by-step explanation:
PLZ HELP!!!!!!!!!!!!!!!!!!
Y=-6x^2+100x-180. What do the zeroes mean in context?
A.) If soccer balls are sold for $2.05 each, the store will make a daily profit of $14.61
B.) If soccer balls are sold for $14.61 each, the store will make a daily profit of $2.05.
C.) If soccer balls are sold for $2.05 or $14.61 each, the store will maximize their daily profit.
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Answer:
D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.
Step-by-step explanation:
Let us assume x = selling price of each soccer ball
y = daily profit earned from selling of soccer balls
Given that
Y= [tex]-6x^2+100x-180[/tex]
where,
a = -6
b = 100
c = -180
Now we have to applied the formula which is as follows
x [tex]= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
[tex]= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$[/tex]
[tex]= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$[/tex]
[tex]= \frac{-100\pm\sqrt{5.680}}{-12}$[/tex]
[tex]= \frac{-100 + 75.3658}{-12}$[/tex]
[tex]= \frac{24.6342}{-12}[/tex]
x^1 = -2.05285
Now
x^2 [tex]= \frac{-100 - 75.3658}{-12}$[/tex]
[tex]= \frac{- 175.3658}{-12}[/tex]
x^2 = 14.6138
Based on this the option D is most appropriate as per the given situation
Answer:
If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.