Answer:
[tex]57,020,000 = 5.702\cdot10^7[/tex]
OAmalOHopeO
Answer:
5.702 ×[tex]10^{7}[/tex]
Step-by-step explanation:
57,020,000 = 5.702 × [tex]10^{7}[/tex]
Abigail picked 72 pears. Sandeep picked p fewer pears than Abigail. Choose the expression that shows how many pears Sandeep picked.
Answer:
72-p=(the number of pears sandeep picked)
Step-by-step explanation:
Answer:
72 - p
Step-by-step explanation:
When it says a number fewer, that means to put it behind rather than in the front.
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
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
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.
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
Find the distance from the point (9, -2) to the line y= 3/2x+ 4.
A)117 units
B)85 units
C)6 units
D)177 units
Answer:
[tex] \sqrt[3]{5} \: units[/tex]Step-by-step explanation:
correct me if I am wrong
Solve: 3(4-2x)=-x+1
Answer:
x = 11/5
General Formulas and Concepts:
Pre-Algebra
Distributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3(4 - 2x) = -x + 1
Step 2: Solve for x
[Distributive Property] Distribute 3: 12 - 6x = -x + 1[Addition Property of Equality] Add x on both sides: 12 - 5x = 1[Subtraction Property of Equality] Subtract 12 on both sides: -5x = -11[Division Property of Equality] Divide -5 on both sides: x = 11/5Answer:
x=0.4545454
Step-by-step explanation:
3(4-2x)=-x+1
12-6x=-x+1
12-1=-x+6x
11=5x
0.4545454=x
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]
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
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 )
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
please help me add this fractions(show work)
Answer:
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
how u do the sum pls
Answer:
[tex]{ \tt{x + 36 \degree + 48 \degree = 360 \degree}} \\ { \tt{x = (360 - 48 - 36) \degree}} \\ { \tt{x = 276 \degree}}[/tex]
Can someone help me with this math homework please!
Answer:
8/5
Step-by-step explanation:
[8-(-8)]/[2-(-6)] = 16/10 = 8/5
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
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.
28a-4a^2
Helpp it’s simplifying
Answer:
[tex]{ \tt{ = 28a - {4a}^{2} }} \\ = 4a(7 - a)[/tex]
Solve the following word problems:
Answer:
Step-by-step explanation:
SP = ₹ 2250
Loss = 1/2% = 0.5%
[tex]CP = \frac{100}{100-loss}*SP\\\\=\frac{100}{99.5}*2250\\\\[/tex]
= ₹ 2261.31
b) Profit = 15%
[tex]SP = \frac{100+profit}{100}*CP\\\\= \frac{115}{100}*2261.31[/tex]
= ₹ 2600.51
given that the value of circumference of a circle is 2/3 of its area. determine the length of the radius of the circle!
____________
Step-by-step explanation:
circumference = 2.π.rarea = π.r²So:
⅔ × π.r² = 2.π.r
3 = πr²/πr
3 = r
r = 3
#mathisfun
PLSSS HELP ME SOLVE THIS ABSTRACT REASONING QUESTION
I thought it was d but apparently its A and i don't understand!!
Answer:
A
Step-by-step explanation:
From the first row, you can see the number of circles increase as you move from left to right therefore the same principle was applied for the row below it.
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]
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 6 to the -3 power over 6 to the fifth power.
Pls answer quick. Thank U very much.
Answer:
1/1679616
Step-by-step explanation:
Answer:
Step-by-step explanation:
6^-3/6^5 = 6^-8 = 5.95 x 10^-7
Solve the systent of equations algebraically . 5x - 3y = 6; 6x - 5y = 10
Step-by-step explanation:
x will be 0
y will be -2
thats the answer babe
The length of a string in yards is a function f(n) of the length n in inches. Write a function rule for this situation. f(n) = 12n f(n) = 36n
Given:
The length of a string in yards is a function f(n) of the length n in inches
To find:
The function rule for the given situation.
Solution:
We know that,
12 inches = 1 yard
1 inch = [tex]\dfrac{1}{12}[/tex] yard
n inches = [tex]\dfrac{n}{12}[/tex] yards
It is given that the length of a string in yards is a function f(n) of the length n in inches. So,
[tex]f(n)=\dfrac{n}{12}[/tex]
Therefore, the required function for the given situation is [tex]f(n)=\dfrac{n}{12}[/tex].
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:
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]
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