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3 years ago

Refer to the equation 2x − 3y = 18.

Mathematics

1 answer:

Mice21 [21]3 years ago

7 0

There is the table. <3

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Calculate s26 for the arithmetic sequence in which a14=4.1 and the common difference is d=1.7

sweet-ann [11.9K]

Answer:

The value of $s_{26}=84.5$

Step-by-step explanation:

We have given $a_{14}=4.1$

d=1.7

We have to find $s_{26}$

So, $a_{14}=a+13d$ from the formula

$a_n=a+(n-1)d$

When n=14

$a_{14}=a+(14-1)(1.7)=a+13(1.7)$

$4.1=a+22.1$

$-18=a$

$a=-18$

Using the formula:

$s_n=\frac{n}{2}[2a+(n-1)d$

When n=26

$s_{26}=\frac{26}{2}[2(-18)+(26-1)(1.7)]$

On simplification we get:

$s_{26}=84.5$

8 0

3 years ago

975 toffees are to be distributed among 23 children. Estimate the numbers of toffees that each child will get in nearest tens.

Aneli [31]

Answer:

Step-by-step explanation:

Total number of toffees = 975

Total number of children = 23

Estimate the numbers of toffees that each child will get in nearest tens.

Number of toffees each child get = Total number of toffees / Total number of children

= 975 / 23

= 42.391304347826

Approximately,

Number of toffees each child get = 40 to the nearest tens

3 0

3 years ago

Write the equation of the line, in standard form, that passes through the origin and is parallel to x + y = 6. Include your work

asambeis [7]

Ax+by=c
a=1
b=1
slope= -a/b=-1
y=mx+b
y=-x+b
b=0
x+y=0

8 0

3 years ago

The area of a rectangle is 259 cm2 and its lenght is 18.5 cm find

crimeas [40]

The breadth of rectangle is 14 cm

The perimeter of rectangle is 65 cm

<em><u>Solution:</u></em>

Given that,

Area of rectangle = 259 square centimeter

Length of rectangle = 18.5 cm

<em><u>The area of rectangle is given by formula:</u></em>

$Area\ of\ rectangle = length \times breadth$

<h3><u>Find the breadth:</u></h3>

Substitute the given values in above formula:

$259 = 18.5 \times breadth\\\\breadth = \frac{259}{18.5}\\\\breadth = 14$

Thus breadth is 14 cm

<h3><u>Find the perimeter:</u></h3>

The perimeter of rectangle is given by formula:

$Perimeter = 2(length + breadth)$

Substitute the given values in above formula:

$perimeter = 2(18.5+14)\\\\perimeter = 2(32.5)\\\\perimeter = 65$

Thus perimeter of rectangle is 65 cm

7 0

3 years ago

Which of these strategies would eliminate a variable in system of equations?

Blababa [14]

Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.

Step-by-step explanation: the strat would eliminate a variable in this system

7 0

3 years ago