Exercise 3
John spends half of his pocket money, then a third of the rest.
1) What proportion of the starting money does he have left?
2) Since he has 5 dollars left, how much did he initially have?​

Answer:

It’s B

Step-by-step explanation:

For the shape to be a quadrilateral, then the value of ∠QPS must be (b) 59 degrees

For quadrilateral PQRS to be an actual quadrilateral, then:

[tex]\angle RQP = \angle PSR[/tex] implies that:

[tex]6x + 13 = 7x - 5[/tex]

Collect like terms

[tex]6x - 7x = -13 - 5[/tex]

[tex]-x = -18[/tex]

Multiply both sides by -1

[tex]x = 18[/tex]

[tex]\angle QPS + \angle PSR = 180[/tex] implies that

[tex]\angle QPS + 7x - 5 = 180[/tex]

Substitute 18 for x

[tex]\angle QPS + 7(18) - 5 = 180[/tex]

Collect like terms

[tex]\angle QPS= 180 +5 - 7(18)[/tex]

[tex]\angle QPS= 59[/tex]

Hence, the measure of angle QPS must be (b) 59 degrees

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Answer:

Nickel = 13

Dimes = 8

Quarters = 16

Step-by-step explanation:

Let N denote Nickel,

Let D denote dime

Let Q denote quarter

Now, from online conversions;

1 nickel = 5 cents

Also, 1 dime = 10 cents

Also, 1 quarter = 25 cents

Isabelle has $5.45 which is also 545 cents.

Thus, we have;

5N + 10D + 25Q = 545 - - - (eq 1)

We are told that;

she has five more nickels than dimes, and twice as many quarters than dimes.

Thus;

N = D + 5

Also, Q = 2D

Plugging them for N and Q in eq 1 givens;

5(D +5) + 10D + 25(2D) = 545

5D + 25 + 10D + 50D = 545

25 + 65D = 545

65D = 545 - 25

65D = 520

D = 520/65

D = 8

Thus; N = D + 5 = 8 + 5 = 13

Q = 2D = 2 × 8 = 16

Answer:

[tex]3k+28[/tex] miles

Step-by-step explanation:

We are given that

Kim drove distance to see her family=k miles

We have to find the expression which represents the number of miles Tran drove.

According to question

3 times of k=3k

Now, adding 28 to 3k

Therefore, the expression is given by

3k+28

Hence, the expression which represents the number of miles Tran drove

[tex]3k+28[/tex] miles

Answer:

The answer is 33,710 euros.

Step-by-step explanation:

Start by multiplying 45,550 by 6%. This will give 2,730. over the next three years the price decreases, so multiply 2,730 by 3, which is 8,190. Finally, subtract 45,550 by 8,190 to get 33,710.

Answer:

72

Step-by-step explanation:

so he is working 4 day in a week

and 4 day times 18 weeks =18x4=72

Answer:

the answer is A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

0.48

Step-by-step explanation:

Answer: C

Step-by-step explanation:

IT IS RIGHT ON -2

Answer:

Step-by-step explanation:

10x - 4y=24

7x -4y=12 multiply this equation by -1

-7x+4y=-12 we add it to the first and we get

3x=12

x=12/3=4

replace x with 3 in first equation

40-4y=24

40-24=4y

16=4y

y=4, x=4

Step-by-step explanation:

You add 4 each time:

10+4=14

14+4=18

18+4=22

22+4=26

26+4=30

hope this helps <3

Answer:

answer 24×7

Step-by-step explanation:

answer ia an 409

Answer:

The measure of angle x° = 34°.

Step-by-step explanation:

It is given that a

We know that side of the triangle below has been extended to form an exterior angle of 146°.

We know that a straight line makes a straight angle of 180°.

Thus,

The sum of x° and 146° must be 180°.

x° + 146° = 180°

subtract 146° from both sides

x° + 146° -  146°  = 180° - 146°

x° = 34°

Therefore, the measure of angle x° = 34°.

Answer:

x = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Given

2 = [tex]\frac{1}{2}[/tex] (5x - 8) ( multiply both sides by 2 to clear the fraction )

4 = 5x - 8 ( add 8 to both sides )

12 = 5x ( divide both sides by 5 )

[tex]\frac{12}{5}[/tex] = x

Answer:

its gonna be 1/18

Step-by-step explanation:

I'm pretty good at math honestly tbis was easy

Answer:

can you make the graph bigger please?

Answer:

she walked 6 miles in the 9 days

Answer:

E = 15 +16 = 31

6 males like cats ( the middle section) so C = 6

d = 6 +16 = 22

a = 19-6 = 13

b = 50-22 = 28

so in order: a = 13, b = 28, c = 6, d = 22, e = 31

Step-by-step explanation:

The required value for each variable in the two-way table is given as, a = 13, b = 28, c = 6, d = 22, and e = 31.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

From the table,

e = 15 + 16 = 31

At the middle of the table, c = 6 {6 males like cats}

d = 6 + 16 = 22

a = 19 - 6 = 13

b = 50 - 22 = 28

Thus, the required value for each variable in the two-way table is given as, a = 13, b = 28, c = 6, d = 22, and e = 31.

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Answer:

Actually it’s d

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

42.875

Step-by-step explanation:

First you find the x-intercepts and the vertex of the equation.

(-5, 0), (-2, 0), (-3/2, 49/4)

You use those coordinates to find the sides of the triangle and then you use the lengths to find the semiperimeter.

Lastly, you use Heron's formula to compute the area.

The area of the triangle is required.

The area of the triangle is [tex]42.875\ \text{units}^2[/tex]

[tex]y=-x^2-3x+10[/tex]

The x intercepts are

[tex]-x^2-3x+10=0\\\Rightarrow x=\dfrac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\left(-1\right)\times 10}}{2\left(-1\right)}\\\Rightarrow x=-5,2[/tex]

The x intercepts are

[tex](-5,0),(2,0)[/tex]

Distance between them is

[tex]2-(-5)=7\ \text{units}[/tex]

Vertex of a parabola is given by

[tex]x=-\dfrac{b}{2a}\\ =-\dfrac{-3}{2\times -1}\\ =-1.5[/tex]

[tex]y=-(-1.5)^2-3(-1.5)+10=12.25[/tex]

So,

Base = b = 7 units

Height = h = 12.25 units

Area is

[tex]A=\dfrac{1}{2}bh\\\Rightarrow A=\dfrac{1}{2}\times 7\times 12.25\\\Rightarrow A=42.875\ \text{units}^2[/tex]

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Answer:

Step-by-step explanation:

you divide the two to the y, which is x=3/2y

then, you simplify the second equation to y, which is -3y= -4x+12

then, you substitute the x=3/2y into the second equation,

-3y = -6+12

-3y = 6

y = -2

Substitute the y into the first equation, x= 3/2y,

x = -3

Answer:

5y^8

Step-by-step explanation:

Simplifies to:

5y^8

=5*y^8

=5*(y*y*y*y*y*y*y*y)

=5y^8

Answer:

There are 182.88  cm in 2 yards.

Step-by-step explanation:

Given that,

1 inch = 2.54 cm

We need to find how many centimeters are there in 2 yards.

We know that,

1 yard = 36 inch

⇒ 2 yards = (2×36) inches

= 72 inches

It means,

72 inches = (72 × 2.54) cm

= 182.88  cm

Hence, there are 182.88  cm in 2 yards.

Answer:

move decimal one place to the left i think!

Answer:

Step-by-step explanation:

That answer is really simple the answer to the is move decimal one place to the left

Step-by-step explanation:

-3(x - 4) + x(2x + 3)

= (-3x + 12) + (2x² + 3x)

= 2x² + 12

= 2(x² + 6).

Answer:

[tex] - 3(x - 4) + x (2x + 3) \\ = - 3x + 12 + 2 {x}^{2} + 3x \\ = 2 {x}^{2} + 12 \\ = 2( {x}^{2} + 6)[/tex]

2(x^2+6) is the right answer.

Answer:

$36

Step-by-step explanation:

2/3 = $24

divide 24 by 2 to find 1/3

1/3 = $12

3/3 = (12 + 12 + 12 )

3/3 = 36

Answer:

-4 ≤ y ≤ 7

Step-by-step explanation:

Inequalities

Solve the system of inequalities:

4y - 7 ≤ 3y       [1]

3y ≤ 5y + 8       [2]

A.

Subtracting 3y to [1]:

y - 7 ≤ 0

Adding 7:

y ≤ 7

Subtracting 5y to [2]:

-2y ≤ 8

Dividing by -2 (and flipping the sign):

y ≥ -4

The solution of the system is all the values of y greater or equal to -4 and less or equal to 7.

B.

The solution can be expressed as:

-4 ≤ y ≤ 7

Answer:

2x=√10+5

2x+√15=0

2x-√15=0

2x=√10+5

2x+√10+5=0

2x=√10+5

Answer:

A. less than three batteries were used in five hours.

Answer:

a

Step-by-step explanation: