Answer:
x = 2y = 3Step-by-step explanation:
4x - y = 5..........… Equation 1
x + 2y = 8 ............. Equation 2
Make x the subject in equation 2 and substitute it into equation 1
That's
x = 8 - 2y
We have
4( 8 - 2y ) - y = 5
32 - 8y - y = 5
- 9y = - 27
Divide both sides by - 9
We have the final answer as
y = 3Substitute y = 3 into x = 8 - 2y
That's
x = 8 - 2(3)
= 8 - 6
x = 2Hope this helps you
Step-by-step explanation:
4x-y=5-----×1.
x+2y=8----×4.
which will be....
4x-y=5
- 4x+8y=32.
____________
-9y=-27
----- ----
-9. -9.
y=3.
then substitute into any equation...
equation one.
4x-3=5.
4x=5+3.
4x=8.
x=8/4.
x=2.
therefore y=3 and x=2.
(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
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°
Need help quick simplify the expression (-4) power of 3
Answer:
-64
Step-by-step explanation:
Answer:
-64
Step-by-step explanation:
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%
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.
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:
whats the symbol for inf
Answer:
[tex] \infty [/tex]
Step-by-step explanation:
If you meant infinity, that is the answer, I think you should elaborate on the question
Twelve is no less Thant he sum of a number n and 3
Answer:
12 > n+3
Step-by-step explanation:
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
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
The answer step by step
Remember:
-When multiplying numbers with decimals just forget about the decimals for a second and pretend you are multiplying a 3 digit number times a 2 digit number.
-one digit at a time. Multiply going from right to left.
First:
-Multiply the 3 with the top numbers.
-Pretend you are seeing this:
5.72 (3)
- 2*3=6. 7*3=21. (carry the 2). 5*3 +2=17. (leave the 1).
Second:
-write below and move a digit to the left.
-pretend you are seeing this: 5.72(6).
- 2*6 =12. (carry the 1). 7*6 +1=43. (carry the 4) 5*6+4=34. (leave the 3).
Third: since in the problem the decimal is placed in the hundredths only once, place the decimal in the hundredths as your solution.
Your solution should be 360.36
May I get some help? Need answer immediately thanks
Answer:
This might help u........
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.
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%)
Each fork in a store costs $5, and each knife costs $4. If you want to spend exactly $36, write an equation in standard form modeling this situation. Let f represent the number of forks you buy, and k represent the number of knives you buy. If Linda purchases 3 forks, how many knives can she buy?
Answer:
5.25
Step-by-step explanation:
so our equation would be f(5)+k(4)=36 then since she buys 3 forks we would plug in 3 for f so we get 3(5)+4k=36 which can be simplified to 4k=21 which si 5.25
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
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
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?
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
What number is 10^2 times as long as 0.012?
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
When the squares of two consecutive even integers are added, the sum is 244. Find
the integers.
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 .
1.2.23
Is Question Help
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $69. A season ski pass costs $300. The skier would have to rent skis with
either pass for $30 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes?
The skier would have to go skiing days.
Answer:
Minimum of 8 days
Step-by-step explanation:
Let's assume the number of days is x
Then we need to compare daily pass vs season pass:
300 + 30x < 69x 69x - 30x > 30039x > 300x > 300/39x > 8 days (using whole number)So, minimum 8 days is the answer
The real number 7/12
belongs to which set of numbers?
1.irrational numbers
2.natural numbers
3.integers
4.rational numbers
Answer:
7/12 belongs in the category 4
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
please help, thank you :)
Step-by-step explanation:
Hey, there!
See explanation in picture.
Hope it helps....
evaluate the expression
Answer: -5
Step-by-step explanation:
Multilpy [tex]\frac{1}{4}[/tex] x (-5 + 5 x (3)
Calculate [tex]\frac{1}{4}[/tex] x (-5 - 15)
-[tex]\frac{1}{4}[/tex] x 20
= -5
Answer:
-5
Step-by-step explanation:
1/4 ( -5 + 5(-3))
Using PEMDAS
Multiply inside the parentheses
1/4 ( -5 + -15)
Add inside the parentheses
1/4( -20)
Multiply
-5
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
Look at the graph. On a coordinate plane, a line with negative slope goes through points (0, 2) and (4, 0). To find the rate of change of the function, Kevin did the following: StartFraction 0 minus (negative 1) Over 2 minus 2.5 EndFraction = StartFraction 1 Over negative 0.5 EndFraction = negative 2. What was Kevin’s mistake? He incorrectly chose (–1, 2.5) as a point on the graph. He incorrectly chose (0, 2) as a point on the graph. He mixed up the numerator and the denominator of the fraction. He subtracted –1 from 0 when he should have added –1 to 0.
Answer:
the answer is c i did the test again and got it right
Step-by-step explanation:
He mixed up the numerator and the denominator of the fraction which is the correct answer would be an option (C)
What is the slope of the line?The slope of the line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
On a coordinate plane, a line with a negative slope goes through points (0, 2) and (4, 0).
To determine the rate of change of the function,
He incorrectly selected the graph's point at (-1, 2.5).
Given that the graph passes through, Kelvin did not make this error (–1, 2.5)
He picked the wrong spot on the graph, (0, 2).
Given that the graph passes through, Kelvin did not make this error (0, 2)
We have that Kevin’s mistake is
He messed up the fraction's denominator and numerator.
He should have added -1 to 0 instead of subtracting it, which he did.
He cannot make a mistake here because the two are identical.
Hence, He mixed up the numerator and the denominator of the fraction which is the correct answer would be an option (C)
Learn more about Slope of Line here:
brainly.com/question/14511992
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