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3 years ago

1/4(2(x - 1) + 10) = x

Mathematics

1 answer:

garik1379 [7]3 years ago

7 0

The answer for x is x=-8

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Find the probability of getting exactly three cars that fail among six cars tested

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3 years ago

You sell tickets for admission to your school play and collect a total of $104. Admission prices are six dollars for adults and

Tanzania [10]

Answer: you sold 10 adult tickets and 11 children tickets.

Step-by-step explanation:

Let x represent the number of adult tickets that you sold.

Let y represent the number of children tickets that you sold.

You sold a total of 21 tickets. This means that

x + y = 21

Admission prices are six dollars for adults and four dollars for children. You sell tickets for admission to your school play and collect a total of $104. This means that

6x + 4y = 104 - - - - - - - - - -1

Substituting x = 21 - y into equation 1, it becomes

6(21 - y) + 4y = 104

126 - 6y + 4y = 104

- 6y + 4y = 104 - 126

- 2y = - 22

y = - 22/ -2 = 11

Substituting y = 11 into x = 21 - y, it becomes

x = 21 - 11 = 10

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3 years ago

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Step-by-step explanation:

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A linear sequence starts a+3b a+7b a+11b the 2nd term has value 19 the 5th term has value 67 work out the values of a and b

alekssr [168]

Answer:

$a = -9$

$b = 4$

Step-by-step explanation:

Given

Sequence: a+3b, a+7b, a+11b

2nd term = 19

5th term = 67

Required

Find a and b

First, the 5th term needs to be calculated;

Using formula for Arithmetic Progression (AP), the formula goes thus

$T_n = T_1 + (n - 1)d$

Where n = 5

T_1 = a + 3b ------------ FIrst term

$d = T_2 - T_1 or T_3 - T_2$ --- Difference between two successive terms

$d = a + 7b - (a + 3b)$

$d = a + 7b -a - 3b$

$d = a - a + 7b - 3b$

$d = 4b$

So, $T_n = T_1 + (n - 1)d$ becomes

$T_5 = a + 3b + (5 - 1)4b$

$T_5 = a + 3b + (4)4b$

$T_5 = a + 3b + 16b$

$T_5 = a + 19b$

Now that we have values for 2nd and 5th term;

From the second, T2 = 19 and T5 = 67

This gives

$a + 7b = 19$ --- Equation 1

$a + 19b = 67$ ---- Equation 2

Make a the subject of formula in (1)

$a = 19 - 7b$

Substitute these values in equation 1

$a + 19b = 67$ becomes

$19 - 7b + 19b = 67$

$19 + 12b = 67$

Collect like terms

$12b= 67 - 19$

$12b = 48$

Divide both sides by 12

$\frac{12b}{12} = \frac{48}{12}$

$b = 4$

Recall that b = 4

Substitute a = 19 - 7b and nothing will hire

$a = 19 - 7(4)$

$a = 19 - 28$

$a = -9$

Hence, the values of a and b are -9 and 4 respectively.

5 0

3 years ago

1/4(2(x - 1) + 10) = x​

1/4(2(x - 1) + 10) = x