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Alex Ar [27]
3 years ago
14

The 15th term of arthimetic sequence is 43 and the common difference is 4 find the first term

Mathematics
1 answer:
Digiron [165]3 years ago
7 0

Answer:

Step-by-step explanation:

hello :

the nth term of an arithmetic sequence is :

An =An+(n-p)d   ....a common difference is : d  

let : n=15    and   p=1    d= 4     A15 =43

A15 = A1 + (15-1)(4)

43= A1 +56

A1= 43-56 = - 13

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A dairy needs 364 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk contai
MaRussiya [10]

Answer:

Step-by-step explanation:

Let x be gallons of 7%

Let y be gallons of 3%

364 = x + y

y = 364 - x

364(0.06) = x(0.07) + y(0.03)

364(6) = x(7) + y(3)

364(6) = 7x + 3y

364(6) = 7x + 3(364 - x)

364(6 - 3) = 7x - 3x

364(3) = 4x

x = 273

y = 364 - 273 = 91

273 gallons of 7%

91    gallons of 3%

5 0
2 years ago
Given the inequality below:<br><br> 3x-y&gt;4<br><br> Which is the graph of the solution set?
OLga [1]

Answer:

A shaded region below a dashed line (y <3x-4)

Step-by-step explanation:

For linear inequalities, we have shaded regions below or above a dashed or solid or continuous line represented by an inequality.

Their graphs are called region graphs. Those regions are only enclosed ones if before the sign of inequality it is included both variables. Like x²+y²<1, |x+y|<1, etc.

In this case what we have here is an open region, as the graph below shows.

3x-y>4 =-y>4-3x∴y<3x-4

Setting a value for x

3x-4=0

3x=4

3x/3=4/3

x=4/3 (slope)

(4/3,0)

6 0
3 years ago
A school determined that about a 67% chance that students will choose chocolate milk over white milk
alexgriva [62]
What the question to this
5 0
3 years ago
Read 2 more answers
I need help text back faster
viktelen [127]



 if the order mattered it would be 7*6*5 *4*3 = 2520 arrangements


if order didn't matter

7*6*5*4*3*2 divided by (5*4*3*2*2) = 21

4 0
3 years ago
To paint a house, a painting company charges a flat rate of 500 for supplies plus $50 for each hour of labor. What is the slope
Maksim231197 [3]

Answer:

slope = $50

Step-by-step explanation:

Given the linear equation, y = mx + b:

The slope (m) is the rate of change for every<em> x </em>number of labor hours. What this implies is that whenever the input (x-value) or the number of labor hours increases or decreases, the value of y (total cost) will increase by the given slope value.

Slope: The painting company charges $50 for every 1 hour of labor.

The y-intercept (b) represents the flat rate or initial value. In the given problem, it states that the company charges $500 for supplies. This means that regardless of whether the company finishes working on the painting job, they will charge their customers the flat rate.

Combined, the linear equation will be:

y = 50x + 500

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0
3 years ago
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