Step-by-step explanation:
[tex] = \frac{20}{5} . {2}^{ - 3} [/tex]
[tex] = 4. \frac{1}{ {2}^{3} } [/tex]
[tex] = \frac{4}{2 \times 2 \times 2} [/tex]
[tex] = \frac{4}{8} [/tex]
[tex] = \frac{1}{2} [/tex]
1. How many squares would 100th case have?
2. Which case would have 289 squares?
Answer:
case 1 = 4
case 2 = 9
case 3 = 16
The results are squares.
case 100 = 10201
solution:
case 1 = 2²
case 2 = 3²
case 3 = 4²
case 100 = 101²
101² = 10201
case 17 = 289
solution:
√289 = 17.
x -3y -3 =0 3x-9y-2=0
Answer:
No solution.
Step-by-step explanation:
x - 3y - 3 = 0
3x - 9y - 2=0
Multiply the first equation by - 3:
-3x + 9y + 9 = 0
Add this to the second equation:
0 + 0 + 7 = 0
0 = -7 , which is absurd so there is no solution to this system.
Fill in the blank.
3 is ....% of 20
Answer: 15%
Step-by-step explanation:
3/20×100%=15%
This is representing 20 as the whole and 3 as the part. to find 3 is how many of 20, we get 3/20, and then multiplies 100% to get the final answer as a percentage.
Hope this helps!! :)
Please let me know if you have any question
Answer: 15%
Step-by-step explanation:
3/20= .15
Move the decimal 2 times to the left to get 15%
(4.2 x 103) x (1.3 x 10-1)
Answer:
5191.2
Step-by-step explanation:
(4.2 x 103) x (1.3 x 10 - 1)
(432.6) x (13 - 1)
(432.6) x (12)
5191.2
Answer:
5191.2
Step-by-step explanation:
(4.2 x 103) x (1.3 x 10-1)
=432.6 ( 13 -1)
=432.6 x 12
=5191.2
3 · 32 + 8 ÷ 2 − (4 + 3)
Answer:
93
Step-by-step explanation:
96+4-7=92
frirst: (4+3)=7
(8÷2)=4
3.32= 96
1. 4x– 15 = 17 - 4x+10x
Help?
Answer:
answer:3x
Step-by-step explanation:
4x15=60
60-17=43
4x10=40
43-40=3x
Marcus ran a 200-meter race in 25 seconds. What is his speed in meters per second?
Answer:
200/25 = 8 meters
Step-by-step explanation:
Just take the distance of 200 m and divide it by 25 seconds.
Billy uses 7 centimeters of tape for every present he wraps. How much tape will billy need in all if he has to wrap 6 presents?
What number is 10^2 times as long as 0.012?
Bob has three pennies. Betty has three times as many pennies as bob. Bill has three times as many pennies as Betty. Barb has three times as many pennies as bill. Write a power to represent the number of pennies that barb has.
Answer:
barb has 3⁴ pennies
Step-by-step explanation:
We are told that ;
Bob has 3 pennies = 3
Betty has three times as many pennies as bob = 3 × 3 = 3²
Bill has three times as many pennies as Betty = 3 × 3² = 3³
Barb has three times as many pennies as bill = 3 × 3³ = 3⁴
Thus,barb has 3⁴ pennies
Answer:
3⁴ pennies or 81 Pennies
Step-by-step explanation:
Bob - 3¹
Betty - 3²
bill - 3³
barb - 3⁴
3*3*3*3 = 81
Mr. Hull had 2,466 apples. If he gave half to his brother, how many apples would he have left?
Answer:
1233
Step-by-step explanation:
Divide the total number by 2 because it's half
Twelve is no less Thant he sum of a number n and 3
Answer:
12 > n+3
Step-by-step explanation:
what is the factored form of 4x2+23x-72
Answer:
(4x-9) (x+8)
Step-by-step explanation:
A ship leaves Coffs Harbour and sails 320 km east. It then changes direction and sails 240 km due
north to its destination. What will the ship's bearing be from Coffs Harbour when it reaches its
destination, correct to two decimal places?
Answer: Bearing = 41.41°
Step-by-step explanation:
[tex]\tan \theta=\dfrac{opposite}{adjacent}\\\\\\\tan \theta=\dfrac{240}{320}\\\\\\.\quad \theta=\tan^{-1}\bigg(\dfrac{240}{320}\bigg)\\\\\\.\quad \theta =48.59^o[/tex]
Bearing is measured clockwise from North (90° on a Unit Circle = bearing of 0°)
Bearing = 90° - Ф
= 90° - 48.59°
= 41.41°
what is 2 1\3 + 3 1\3
Answer:
The Fraction 21/3+31/3=17 1/3
Answer:
[tex]5\frac{2}{3}[/tex]
Step-by-step explanation:
2 + 3 = 51/3 + 1/3 = 2/3Put them together: 5 2/3May I get some help? Need answer immediately thanks
Answer:
This might help u........
I need help with 14 and 15
5 hundreds × 10 = __50__ hundreds = __B__
Fill in blank B.
Answer:
Answer is 5000
Step-by-step explanation:
becaue when u multiple 5*100*10=5000
50*100=5000 so the answer is 5000
[tex] \frac{3}{4} |m - 2n| [/tex]
if m= -4 and n=6
Answer:
12
Step-by-step explanation:
When the squares of two consecutive even integers are added, the sum is 244. Find
the integers.
If one gallon of gas costs $2.50, how many gallons of gas could you buy for $16.2
Answer:
The answer is
6 gallonsStep-by-step explanation:
In order to solve this question we use ratio and proportion.
From the question
$ 2.50 is the price of one gallon
To find the number of gallons that cost $16.2 , multiply $16.2 by one gallon and divide it by $ 2.50
That's
[tex] \frac{16.2 \times 1}{2.50} [/tex]
= 6.48
We have the final answer as
6 gallons
Hope this helps you
Bruno noticed today's gasoline price at the local convenience store was advertised as $3.40 per gallon. This price is 15% above last year's price. Calculate last year's price.
Answer:
(3.4/100)*115 = $3.91
Step-by-step explanation:
Divide by 100% and multiply by 115 (100%+15%)
the length of a rectangular pool is three times its width. The perimeter of the rectangular pool is 168 feet. find the length and width of the pool.
Step-by-step explanation:
breadth = 21 m
length = 63 m
w = 21 feet
l = 63 feet
Step-by-step explanation:l = 3w
P = 2(l + w)
168 = 2(l + w) : 2
84 = l + w
replace l
84 = 3w + w
4w = 84
w = 84 : 4
w = 21 feet
l = 3w
l = 3×21 feet
l = 63 feet
Thanks for the help, question below :)
Answer:
(a) Regression Equation : x = 6.33333y + 38.6875,
(b) Test Score will be about 89.4% if student sleeps 8 hours a night
Step-by-step explanation:
Using a regression calculator your equation should be as follows, where x = test scores, and y = average sleep.
(a) Solution : x = 6.33333y + 38.6875
We can check if this equation is ' suitable ' by plugging in the value 7 for y, and expecting an outcome of around 88 percent ...
x = 6.33333(7) + 38.6875 = 44.33331 + 38.6875
= 83.02061% - this may seem a bit too off, but it is predictable
Now let's plug in 8 for y, as to calculate the percent when a student sleeps for 8 hours ...
x = 6.33333(8) + 38.6875 = 50.66664 + 38.6875
= 89.35414% ≈ 89.4%
(b) Solution : Test Score will be about 89.4%
what are the factors of 2b (3 – c)?
Answer: 2 , b , (3-c)
Step-by-step explanation:
Given expression : 2b (3 – c)
We know that factors are the expression that gives the givrn or original expression by multiplying it to other expression.
Here , we can factorize the given expression as :
[tex]2\times b\times (3-c)[/tex]
So, the factors of [tex]2b (3 -c)[/tex] is [tex]2 , b , (3-c)[/tex] as they are making the original expression together .
A house agent’s commission on the sale of a house is 7%. Calculate his commission on a house sold for GH₵14,000.00. *
Answer:
980 Euro
Step-by-step explanation:
7/100 * 14,000.00= 7*140=980
find the value of(-2/7 - 5/7)×(8/3÷4/9)
Answer:
the answer is -6 mate ^^
Answer:
-6
Step-by-step explanation:
(-2/7-5/7)*(8/3*9/4)=
- 7/7 * 8*9/4*3
-7/7 * 8/4 * 9/3
-1* 2*3= - 6
If the one side of the rectangle is 8 ft and the other side is 3x-40, what is the area of
the rectangle?
Answer:
24x-320
Step-by-step explanation:
Area of a rectangle is length*width.
This basically means we have to multiply one of its sides with the other side.
Hence, our expression would be:
8(3x-40)
Simplify by distributing.
8*3x+8*-40
24x-320
The area of the rectangle is 24x-320.
A builder needs 1,840 nails to finish a project. If the nails come in packages of 40, how many
packages should the builder purchase?
packages
Answer:
He would need 46 packs of nail
Step-by-step explanation:
1840/40
=46
Riya is applying mulch to her garden. She applies it at a rate of 250{,}000\text{ cm}^3250,000 cm 3 250, comma, 000, start text, space, c, m, end text, cubed of mulch for every \text{ m}^2 m 2 start text, space, m, end text, squared of garden space. At what rate is Riya applying mulch in \dfrac{\text{m}^3}{\text{m}^2} m 2 m 3 start fraction, start text, m, end text, cubed, divided by, start text, m, end text, squared, end fraction?
Complete Question
Riya is applying to her garden. She applies it at a rate of 25, 000 cm³ of mulch for every m² of garden space. At what rate is Riya applying mulch in m³/m²
Answer:
0.25m³/m²
Step-by-step explanation:
We are told the Riya sprays mulch at 250,000cm³ per m²
To find the rate at which Riya is spaying the mulch in m³/m² we would have to convert 250,00cm³/m² to m³/m²
1 cm³ = 1 × 10^-6m³
250,000 cm³ = x m³
Cross Multiply
1 cm³ × xm³ = 250,000cm³ × 1 × 10^-6 m³
X
x m³ = 250,000cm³ × 1 × 10^-6 m³/1 cm³
= 0.25m³
Therefore, the rate at which Riya is spraying the mulch = 0.25m³/m²
Answer:
0.25
Step-by-step explanation: