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Georgia [21]
3 years ago
5

What is the value of the following expression when p=4? 4p+9

Mathematics
1 answer:
Gelneren [198K]3 years ago
6 0

Answer:

4p+9=

(first start with multiple or division division from right to left then with addition from right to left)

4*4+9=

16+9=25

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2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How m
d1i1m1o1n [39]

Answer:

13 pencils.

Step-by-step explanation:

Let x be the pens and y be the pencils

Given:

Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.

Total pens and pencils is 22

So, x+y=22----------------(1)

And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.

0.75x+0.40y=11.95------------(2)

solve equation 1 and equation 2 for x and y.

From equation 1.

x+y=22

y=22-x----------------(3)

put y value in equation 2.

0.75x+0.4(22-x)=11.95

0.75x+0.4\times 22-0.4x=11.95

0.75x+8.8-0.4x=11.95

0.75x-0.4x=11.95-8.8

0.35x=3.15

x=\frac{3.15}{0.35}

x=9

Now substitute x value in equation 3.

y=22-9

y=13

So, he buy 13 pencils.

5 0
3 years ago
A circular table top has a radius of 60cm. A force of 650N is applied to the whole table top. Calculate the pressure in N/m to 4
ikadub [295]

Answer:

i hope its understood....

8 0
3 years ago
Eight less a number is less than or equal to seventeen
allsm [11]

Answer:

n ≥ -9  

Step-by-step explanation:

Let n = the number

8 <em>less than</em> a number means "n – 8", but

8 <em>less</em> a number means "8 – n," so

8 – n ≤ 17     Subtract 8 from each side

    -n ≤ 9      Multiply each side by -1

    n ≥ -9

<em>Note</em>: When we multiply by a negative number, we must reverse the inequality.

<em>Check:</em>

Try n = -8.

8 – (-8) ≤ 17

  8 + 8 ≤ 17

       16 ≤ 17

<em>True</em>.

8 0
3 years ago
In the first four months of the year, Noralie's jewelry sales were declining. After April, her sales began to improve. The funct
AlexFokin [52]
Is it like this?

y=-4+8
y=4

Is this what you need?
6 0
3 years ago
Determine which of these sequences is an arithmetic sequence. Then determine the explicit formula that would be used to define t
vagabundo [1.1K]

6)

34, 43, 52, 61, ...

43-34 = 9; 52-43 = 9; 61-52 = 9

The difference between one term and the next is a constant so it is arithmetic sequence

first term:  a = 34

difference:  d = 9

so the formula:

                         a_n=a+d(n-1)\\\\a_n=34+9(n-1)\\\\a_n = 34+9n-9\\\\\underline{a_n=9n+25}

7)

10, 6, 2, -2, ...

6-10 = -4; 2-6 = -4; -2-2 = -4

The difference between one term and the next is a constant so it is arithmetic sequence

first term:  a = 10

difference:  d = -4

so the formula:

                         a_n=a+d(n-1)\\\\a_n=10+(-4)(n-1)\\\\a_n = 10-4n+4\\\\\underline{a_n=-4n+14}

8)

-3, -10, -17, -24, ...

-10-(-3) = -7; -17-(-10) = -7; -24-(-17) = -7

The difference between one term and the next is a constant so it is arithmetic sequence

first term:  a = -3

difference:  d = -7

so the formula:

                         a_n=a+d(n-1)\\\\a_n=-3+(-7)(n-1)\\\\a_n =-3-4n+7\\\\\underline{a_n=-7n+4}

9)

7, 8.5, 10, 11.5, ...

8.5-7 = 1.5; 10-8.5 = 1.5; 11.5-10 = 1.5

The difference between one term and the next is a constant so it is arithmetic sequence

first term:  a = 7

difference:  d = 1.5

so the formula:

                         a_n=a+d(n-1)\\\\a_n=7+1.5(n-1)\\\\a_n =7+1.5n-1.5\\\\\underline{a_n=1.5n+5.5}

10)

30, 22¹/₂, 15, 7¹/₂, ...

22¹/₂-30 = -7¹/₂;   15-22¹/₂ = -7¹/₂;   7¹/₂-15 = -7¹/₂

The difference between one term and the next is a constant so it is arithmetic sequence

first term:  a = 30

difference:  d = -7¹/₂

so the formula:

                         a_n=a+d(n-1)\\\\a_n=30+(-7\frac12)(n-1)\\\\a_n =30-7\frac12n+7\frac12\\\\ \underline{a_n=-7\frac12n+37\frac12}

6 0
3 years ago
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