Answer:
As we can see, what we are doing is substracting 4 from one term to the next:
22 - 4 = 18
18 - 4 = 14
14 - 4 = 10
10 - 4 = 6
Knowing this and that we start on 22, we can say that for n term we have:
[tex]22-4(n-1)[/tex]
So, if we're searching the thirs term, we replace n by 3 (we can also see it in the question):
[tex]22-4(n-1)[/tex] = [tex]22-4(3-1) = 22-4*2 = 22 - 8 = 14[/tex]
So the third term is 14.
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
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
w - 4c use w = 7 and c = 9 show work plssss
Answer: -29
Step-by-step explanation: plug 7 in for w and 9 for c
7-4(9) = -29
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?
Need help quick simplify the expression (-4) power of 3
Answer:
-64
Step-by-step explanation:
Answer:
-64
Step-by-step explanation:
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
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
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:
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guys i need help ASAP
Answer:
Your answer would be the third set
Step-by-step explanation:
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 .
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
(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
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
Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6 2. 15.6x − 16.4 = −2.3x + 35.4 3. 17.9x − 16.4 = 35.4 4. 17.9x = 51.8 5. X ≈ 2.89 When Caleb verified his solution, it didn't work. What mistake did he make? In step 1, the distributive property was not used properly on the right side of the equation. In step 2, the like terms were not combined properly on the right side of the equation. In step 3, the addition property of equality was not used properly to isolate the variable term. In step 5, the division property of equality was not used properly to solve for x.
Answer:
Option B.
Step-by-step explanation:
The given equations is
[tex]7.4x+4.1(2x-4)=-2.3(x-6)-21.6[/tex]
The correct steps to solve the above equation are
1. Using distributive property, we get
[tex]7.4x+8.2x-16.4=-2.3x+13.8-21.6[/tex]
2. Combining like terms, we get
[tex]15.6x-16.4=-2.3x-7.8[/tex]
3. Using addition property of equality, add 2.3x on both sides.
[tex]17.9x-16.4=-7.8[/tex]
4. Using addition property of equality, add 16.4 on both sides.
[tex]17.9x=8.6[/tex]
5. Using division property of equality, divide both sides by 17.9.
[tex]x\approx 0.48[/tex]
In step 2, the like terms were not combined properly on the right side of the equation.
[tex]13.8-21.6=-7.8\neq 35.4[/tex]
Therefore, the correct option is B.
Answer:
The correct answer is b. In step 2, the like terms were not combined properly on the right side of the equation.
point A B and C are collinear on AC and AB:BC = 3/4. A is located at (x,y), B is located at (4,1) and C is located at (12,5). what are the values of x and y?
Answer:
x = -2 and y = -2Step-by-step explanation:
The expression for calculating the point that divides the coordinate of two endpoints A(x, y) and B (x₁, y₁) in the ratio a:b with point C(X, Y) on the line is as shown below;
[tex]B[/tex][tex](X, Y) =[/tex] [tex](\dfrac{ax_1+bx}{b+a}, \dfrac{ay_1+by}{b+a})[/tex]
Given B(X, Y) = (4, 1), C(x₁, y₁) = (12,5) and AB:BC = a:b = 3/4
From the given coordinates, X = 4, Y = 1, x₁ = 12 y₁ = 5, a = 3 and b =4
From the coordinates above;
[tex]X = \dfrac{ax_1+bx}{b+a}[/tex]
[tex]4 = \dfrac{3(12)+4x}{4+3}\\\\4 = \dfrac{36+4x}{7}\\\\\\4*7 = 36+4x\\28 = 36+4x\\28-36 = 4x\\-8 = 4x\\x = -8/4\\x= -2[/tex]
Similarly to get y;
[tex]1 = \dfrac{3(5)+4y}{4+3}\\\\1 = \dfrac{15+4y}{7}\\\\\\1*7 = 15+4y\\7 = 15+4y\\7-15 = 4y\\-8 = 4y\\y= -8/4\\y= -2[/tex]
Hence the value of x is -2 and y is -2.
Please solve this for me
I’m dumb I know please do it
No wrong answer or Bots or else I’ll report
Answer:
Step-by-step explanation:
1a. 7000m 1b. 10mm
2a. 1000cm 2b. 2m
3a. 6km 3b. 3km
4a. 2km 4b. 9m
5a. 6cm 5b. 7m
6a. 9cm 6b. 9km
7a. 4km 7b. 5km
8a. 8km 8b. 30mm
9a. 70mm 9b. 3m
10a. 2cm 10b. 10cm
Answer:
1a: 7,000 m 1b: 10 mm
2a: 1,000 km 2b: 2 m
3a: 6 km 3b: 3 km
4a: 2 km 4b: 9 m
5a: 6 cm 5b: 7 m
6a: 9 cm 6b: 9 km
7a: 4 km 7b: 5 km
8a: 8 km 8b: 30 mm
9a: 70 mm 9b: 3 m
10a: 2 cm 10b: 10 cm
Hope I helped!
What number is 10^2 times as long as 0.012?
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
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
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
please help, thank you :)
Step-by-step explanation:
Hey, there!
See explanation in picture.
Hope it helps....
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
Simplify 4 (3 -- 4x
Answer:
12-16x
Step-by-step explanation:
4(3-4x)
12-16x
The expression 4 (3 - 4x) is simplified as 12 - 16x.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expression is given below.
⇒ 4 (3 - 4x)
Simplify the expression, then the expression will be
⇒ 4 (3 - 4x)
⇒ 4 · 3 - 4 · 4x
⇒ 12 - 16x
The expression 4 (3 - 4x) is simplified as 12 - 16x.
More about the simplification link is given below.
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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
May I get some help? Need answer immediately thanks
Answer:
This might help u........
Azmol is paid £1500 per month. He is going to get a 3% increase in the amount of money he is paid. Work out how much money Azmol will be paid per month after the increase.
Answer:
So if he's paid £1500 and he's getting an increase of 3%, we only need to calculate the 3% of 1500 and then add it what he's paid now (£1500)
To calculate the x% of a number, we multiply the number by [tex]\frac{x}{100}[/tex]%.
So, if we want to calculate the 3%, we need to multiply by [tex]\frac{3}{100}[/tex]%, by 0.03:
1500 * 0.03 = £45
So now, we know he'll be paid £45 more than the last month, so we sum what he got before (£1500) plus those £45.
1500 + 45 = £1545
Twelve is no less Thant he sum of a number n and 3
Answer:
12 > n+3
Step-by-step explanation:
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:
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%)
Renji owes his parents $204. He pays them back $8.50 every week. How many payments will it take until Renji has paid his parents back fully?
Answer:
24 payments.
Step-by-step explanation:
$204 divided by $8.50 = 24