Answer:
2/3
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (12-8)/(4 - -2)
(12-8)/(4+2)
4/6
2/3
PLs help T^T im to dum.b to understand this equation
are
equivalent to 192 ounces?
How many pounds
24
pounds.
192 ounces is equivalent to
Answer:
12 lbs
Step-by-step explanation:
There are 16 ounces in a pound
192 ounces * 1 pound / 16 ounces = 12 pounds
Step-by-step explanation:
1 pound = 16 ounces
24 pound = 16 x 24 ounces = 384 ounces
1 ounce = 1/16 pounds
192 ounces = 192/16 pounds = 12 pounds
Daniel and Saquon are each saving money. Daniel starts with $50 in his savings account and adds $8 per week. Saquon starts with $65 in his savings account and adds $5 each week.
After four weeks, who has more money in their savings account? Explain how you know.
After how many weeks will Daniel and Saquon have the same amount of money in their savings accounts?
Answer:
Sequon has more money after 4 weeks. It would take 5 weeks for their savings accounts to be equal.Step-by-step explanation:
Daniel
Daniel starts with $50 and each week he adds $8. To find out the amount he has in any given week, the following formula would work:
= 50 + 8x
The x is the number of weeks and is multiplied by 8 because the amount of money he has increase by 8 every week.
After 4 weeks he would have:
= 50 + (8 * 4)
= 50 + 32
= $82
Saquon
Applying the same formula:
= 65 + 5x
After 4 weeks:
= 65 + (5 * 4)
= 65 + 20
= $85
Saquon has more money after 4 weeks.
Number of weeks it would take for both of them to have the same amount.
To find this out, equate both formulas and solve for x.
50 + 8x = 65 + 5x
8x - 5x = 65 - 50
3x = 15
x = 15/3
x = 5 weeks
At 5 weeks they will both have:
50 + 8 * 5 = $90
65 + 5 * 5 = $90
Ferrero Rocher chocolates are manufactured in the shape of spherical balls, which are
wrapped in foil. The Ferrero Rocher Company introduced the Ferrero collection, which
is a package of 15 chocolates, one layer deep in a 3 chocolate x 5 chocolate orientation.
A single chocolate has a diameter of 3.2 cm.
Answer:
N/A
Step-by-step explanation:
What's the question to the question?
If {3,4,5} is the domain of function f:x --> 2x-1, find the range.
Answer:
Range = {5, 7, 9}
Step-by-step explanation:
Range is the set of values that are the results of respective values of x when placed in the function f(x).
[tex] \mathfrak{\blue {\underline{\implies If\: x = 3 }}} [/tex]
f(3) = 2 × 3 - 1
f(3) = 6 - 1
f(3) = 5
[tex] \mathfrak{\blue{\underline{\implies If \:x = 4 }}} [/tex]
f(4) = 2 × 4- 1
f(4) = 8 - 1
f(4) = 7
[tex] \mathfrak{\blue{\underline{\implies If\: x = 5 }}} [/tex]
f(5) = 2× 5 - 1
f(5) = 10 - 1
f(5) = 9
Therefore, the range is the set of all these values :-
Range = {5, 7, 9}
Need help on this!!!
Answer:
7.8391
Step-by-step explanation:
Answer:
Step-by-step explanation:
The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:
[tex]e^{ln(x+3)}=e^5[/tex]
That leaves us on the left with simply
x + 3
On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:
[tex]x=e^5-3[/tex] and
[tex]e^5=148.4131591[/tex], so
x = 148.4131591 - 3 and
x = 145.4132, the first choice listed.
is this righ or not please say me
Answer:
Step-by-step explanation:
It's right
Two numbers have a difference of 28. If the sum of the squares of the numbers is
392, what are the two numbers?
Answer:
The two numbers are 182 and 210. I hope this will help you.
The snack bar at your school has added sushi to its menu. The ingredients for one roll include sushi rice, seaweed sheets, cucumbers, cream cheese, and 2 oz of smoked salmon. One roll can be cut into 9 servings. Write an expression for the amount of salmon needed to make s servings of sushi. How much salmon is needed to make 18 servings? 36 servings? 90 servings? 100 servings?
Answer:
The answer si:
- 16 servings - 6 oz of salmon
- 24 servings - 9 oz of salmon
- 80 servings - 30 oz of salmon
- 100 servings - 37.5 oz of salmon
1 roll is 8 servings and it is also made of 3oz of smoked salmon. That means that 3oz of smoked salmon is needed fo 8 servings.
Now, let's made some proportions:
16 servings:
3 oz is for 8 servings, how much oz is for 16 servings:
3 : 8 = x : 16
x = 3 · 16 ÷ 8 = 6 oz
24 servings:
3 oz is for 8 servings, how much oz is for 24 servings:
3 : 8 = x : 24
x = 3 · 24 ÷ 8 = 9 oz
80 servings:
3 oz is for 8 servings, how much oz is for 80 servings:
3 : 8 = x : 80
x = 3 · 80 ÷ 8 = 30 oz
100 servings:
3 oz is for 8 servings, how much oz is for 100 servings:
3 : 8 = x : 100
x = 3 · 100 ÷ 8 = 37.5 oz
PLSSS HELP I NEED IT REALLY BAD
1.
(05.01 LC)
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?
A square with a side length of 4 units is shown. A diagonal is drawn with one section shaded inside the figure.
(5 points)
fraction 1 over 4 ⋅ 4 ⋅ 4
fraction 1 over 2 ⋅ 4 ⋅ 4
fraction 1 over 2 ⋅ 2 ⋅ 2
fraction 1 over 4 ⋅ 2 ⋅ 2
Answer:
If a square has a side length of 4, then the area is 16.
A = [tex]s^{2}[/tex] where s = side length.
If a diagonal is drawn to create 2 halves, then the area of each half is 8.
So most likely the answer you are seeking is: [tex]\frac{1}{2}[/tex] ( 4 · 4 )
Without actual division prove that x4 +2x3 -2x2 +2x -3 is exactly divisible by
x2 +2x-3
Answer:
Step-by-step explanation:
[tex]\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1[/tex]
The product of two algebraic expression is 4x²-9.If one of the expression is (2x+3),find the other expression
Answer:
Solution given:
we have formula
a²+b²=(a+b)(a-b)
now
4x²-9
(2x)²-3²
using formula
(2x+3)(2x-3)
other expression is 2x-3.
Answer:
( 2x - 3 )
Step-by-step explanation:
4x² - 9 is a perfect square meaning it can be factored into 2 expressions,
( 2x + 3 ) ( 2x - 3 )
Which of the following functions is graphed below?
(picture included)
Answer:
B
Step-by-step explanation:
the graph has been shifted 4 units to left, and 2 units down.
Answer:
Graph shifted down by 2 ... -2
graph slid 4 to the left ... + 4
B is the answer y = |x+4| -2
Step-by-step explanation:
at the school festival , raffle tickets were sold at $1 each, or 3 for $2. At the end of the day, 15 books of tickets, each containing 20 tickets, were sold. the money collected from the sale was $236. How many tickets were sold at 3 for $2?
Answer:
you have to take away you word they said how many
A pie chart is to be drawn for Cathy’s spending.
Cathy spent a total of $800 last month.
She spent $120on entertainment last month.
Calculate the size of the angle for entertainment in the pie chart.
Answer:
54°
Step-by-step explanation:
$800 is 360° of a pie chart
$120 is ?° of the pie chart
?° = (360*120)/800 = 54°
*if you need the answer to be in radiants
(54*π) /180 = 0.942478 rad
Step-by-step explanation
Help me ASAP with this problem
Answer:
114cm
Step-by-step explanation:
3×8×4=96
3×3×2=18
96+18=114
28a-4a^2
Helpp it’s simplifying
Answer:
[tex]{ \tt{ = 28a - {4a}^{2} }} \\ = 4a(7 - a)[/tex]
Solve :2x/5 - 3x/4 = 3/10
Answer: -6/7
Step-by-step explanation:
[tex]2x/5-3x/4=3/10\\(8x-15x)/20=3/10\\-7x/20=3/10\\-7x=(3/10)*20\\-7x=6\\x=-6/7[/tex]
We have to find,
The required value of x.
Given that,
→ 2x/5 - 3x/4 = 3/10
Then let's solve for the value of x,
→ 2x/5 - 3x/4 = 3/10
→ (8x - 15x)/20 = 3/10
→ -7x/20 = 3/10
→ -7x = (3/10) × 20
→ -7x = 3 × 2
→ -7x = 6
→ [x = -6/7]
Hence, the value of x is -6/7.
The house Trevor's family lives in has 666 people (including Trevor) and 333 bathrooms. In the past month, each person showered for an average of 480480480 minutes and used an average 727272 liters of shower water (over the entire month). Water costs 0.200.200, point, 20 dollars per liter.
How much money did Trevor's family spend, in total, on shower water in the past month?
Answer:
$86.40
Step-by-step explanation:
The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month). Water costs 0.20 dollars per liter.
How much money did Trevor's family spend, in total, on shower water in the past month?
Total people in Trevor's family = 6
Number of bathrooms = 3
Time each person spent to shower = 480 minutes
Quantity of water each person use per month = 72 liters
Cost of water per liter = $0.20
Total amount spent on shower water = Total people in Trevor's family × Quantity of water each person use per month × Cost of water per liter
= 6 × 72 × 0.20
= $86.40
Total amount spent on shower water = $86.40
Simplify 8(x + 1) - 12x (PLS HELP)
[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]
[tex]\tt8(x + 1) - 12x \\ = \tt8x + 8 \times 1 - 12x \\ = \tt8x + 8 - 12x \\ = \large\boxed{\tt{\color{pink}{ - 4x + 8}}}[/tex]
[tex]\color{pink}{==========================}[/tex]
#CarryOnLearning
[tex] \sf \: 8(x + 1) - 12x \\ = \sf8x + 8 - 12x \\ \sf = 8x - 12x + 8 \\ = \underline{\bf - 4x + 8}[/tex]
Solve the simultaneous equation x + 2y =2 and 2x + 5y = 4
Answer:
(2,0)
Step-by-step explanation:
2 (x + 2y) = (2)
2x + 4y = 4
- 2x + 5y = 4
-1y = 0
y = 0
2x + 5(0) = 4
2x = 4
x = 2
Answer:
x=2 y=0
Step-by-step explanation:
solve for y
x+2y=2
x=2-2y
2(2-2y)+5y
4-4y+5y=4
4+y=4
y=0
plug into equation
2x+5(0)=4
x=2
and
x+2(0)=2
x=2
2x^3x8x^8= ?
Help plzz
Answer:
16x^11
Step-by-step explanation:
2x^3 x 8x^8
= 2 x 8 ( x^8 x x^3 )
= 16 ( x ^8 + 3 )
= 16x^11
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{2x^3\times8x^8}\\\textsf{There arent any like terms so we \underline{do not} have to compare them together}\\\mathsf{= \mathsf{2\times8 \rightarrow \bf 16}}\\\mathsf{= 3+8\rightarrow\bf 11}\\\mathsf{= 16\times x^{11}}\\\mathsf{= \bf 16x^{11}}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 16x}\mathsf{\bf ^{11}}}}\huge\checkmark\\\\\\\large\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]
what is the volume of a cylinder, in cubic feet, with a height of 5 feet and a base diameter of 10 feet? Round to the nearest tenths place
Answer:
Volume of cylinder
= π r² h
3.14 × 5×5×5392.5= 392.9 ft³OAmalOHopeO
Answer:
The volume of the cylinder would be approximately 392.5 ft^3
Step-by-step explanation:
Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.
The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.
Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.
Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.
What is the missing angles?
Step-by-step explanation:
x = ??
y = 72 + 40 = 112
x =112 - 180
x = 180-112
x = 68
or = 180 - 72 = 108
180 - 40 = 140
140 - 108 = 32
the total cost of the tiles is £68 plus VAT
the rate of VAT is 20%
(b) work out 20% of £52
Answer:
a) 81-6
b) 10.4
Step-by-step explanation:
a) assuming that the VAT is 20% of the 68 pounds,
you calculate 120% of 68 (convert percentage to decimal)
= 1,20 * 68 = 81.6 pounds
or
calculate 20% of 68 pounds and add the answer to 68 pounds:
(0.2 * 68) + 68 = 81.6 pounds
b) 20% of 52
first convert the percentage to decimals:
0.2 * 52 = 10.4 pounds
3. Which equation has non-real solutions?
a. 5x2 - 4x – 9 = 0
b. 2x2 - X -1 = 0
c. 6x2 + 11x + 17 = 0
d. 7x2 + 4x – 7 = 0
Answer:
c
Step-by-step explanation:
because 11x + 17 = 3x
A recipe for sugar cookies calls for 2 1/2 cups of sugar for 36 cookies. How much sugar would be needed for 48 cookies?
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{2} }{36} = \frac{x}{48}[/tex]
36x = 5/2 * 48
36x = 120
[tex]x = 3 \frac{1}{3}[/tex]
The amount of sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.
It is given that a recipe of sugar cookies needed [tex]2\frac{1}{2}[/tex] cups of sugar for 36 cookies.
We have to find out the amount of sugar needed for 48 cookies.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Sugar required for 36 cookies = [tex]2\frac{1}{2}[/tex] cups
Sugar required for 1 cookies
= [tex]2\frac{1}{2}[/tex] ÷ 36 cups
= [tex]\frac{5}{2}[/tex] ÷ 36
= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex]
So , the sugar required for 48 cookies will be equal to ;
= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex] × 48
= [tex]\frac{240}{72}[/tex]
= [tex]\frac{10}{3}[/tex]
or
[tex]3\frac{1}{3}[/tex] cups
Thus , the sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.
To learn more about unitary methods click here ;
https://brainly.com/question/23580742
#SPJ2
Check out this cube: 3 Find the surface area of the cube (above) using its net (below
Answer:
54
Step-by-step explanation:
Surface area of a cube = 6a²
Where,
a = edge = 3
Surface area of a cube = 6a²
= 6 * (3)²
= 6 * (3 * 3)
= 6 * 9
= 54
Therefore,
The Surface area of the cube = 54
HELP PLEASEEEEEEE ASAP
Answer:
p=9
r=18
Step-by-step explanation:
Can anyone explain this to me?
Answer:
$7, 657
Step-by-step explanation:
Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.
