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Jobisdone [24]
3 years ago
13

Toby the Tiger makes $25 an hour selling cereal. Write an equation to

Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer:

I think it is y=25x

Step-by-step explanation:

Since Tony the Tiger makes $25 an hour, in 2 hours, he would make $50. Both of them, when divided, equal 25, the constant of proportionality.

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Megan is checking her tax bill for the last year.
Tanya [424]
Given that Megan's tax rates were as follows:
<span>No tax one the first £11000 of earnings
</span><span>Earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
</span><span>Earning in excess of 43000 and up to £150000 taxed at a rate of 40%
</span>Earnings over £150000 taxed at a rate of 45% 
If Megan earned £158900 before tax last year, the amount of tax she paid in total is given as follows:
First <span>£11000 = </span><span>£0 tax
</span>Balance after first <span>£11000 = </span><span>£158900 - </span><span>£11000 = </span><span>£147900
</span>
Next (<span>£43000 - </span><span>£11000 = </span><span>£32000) = 20% of </span><span>£32000 = 0.2 x </span><span>£32000 = </span>£6400 tax
Balance after next <span>£32000 = </span><span>£147900 - </span><span>£32000 = </span><span><span>£115000</span> </span>

Next (<span>£150000 - </span><span>£43000 = </span><span>£107000) = 40% of </span><span>£107000 = 0.4 x </span><span>£107000 = </span><span>£42800 tax</span>
Balance after next <span>£107000 = </span><span>£115000 - </span><span>£107000 = </span><span>£8000</span>

Remaiming <span>£8000 = 45% of </span><span>£8000 = 0.45 x </span><span>£8000 = </span><span>£3600 tax</span>

Total tax = <span>£6400 + </span><span>£42800 + </span><span>£3600 = </span><span>£52800

Therefore, she paid a total of </span><span>£52800 in tax last year.</span>
8 0
3 years ago
Bill and his dad are building a deck on the back of their house. The scale on the building plan is 1 in. = 4 ft. If the length o
choli [55]

Answer:

14 feet

Step-by-step explanation:

4 x 3 = 12ft

4 / 2

2

2 + 12

answer is 14 ft

8 0
3 years ago
What is 5x + 7 &lt; 22 on a number line​
kozerog [31]

Answer:

x < 3

Step-by-step explanation:

5x + 7 < 22 \\ 5x < 22 - 7 \\ 5x < 15 \\ x  <  \frac{15}{5}  \\ x < 3

3 0
3 years ago
Help find the missing number for x
elena55 [62]

Answer:

41

Step-by-step explanation:

x² = 40²+9²

= 1600+81

= 1681

x= √1681 = 41

3 0
3 years ago
The number of letters in Stephanie's full name is sixteen less than twice the number of letters in Amy's full name. If the numbe
Anestetic [448]

Answer:

19 letters

Step-by-step explanation:

Suppose Number of Amy's full name letters = X

               Number of Stephanie's full name letters = Y

Now, according to given condition that ''number of letters in Stephanie's full name is sixteen less than twice the number of letters in Amy's full name'',

Equation 1 becomes

Y = 2X-16

Now, according to second condition, product of their names' letter is 418. So,

Equation 2 becomes

XY = 418

Deducing value of X from equation 1,

X = (Y+16)/2

Putting this value in equation 2 we get,

{(Y+16)/2}*Y = 418,

By simplifying this equation we get a quadritic equation

(Y^2)+16Y-836=0

By breaking middle term (You can use quadratic formula here as well)

(Y^2)+38Y-22Y-836=0

Y(Y+38)-22(Y+38)=0

(Y-22)(Y+38)=0

At this stage we have two values for Y,

Y=22, or Y=-38

Now considering only positive value since the number of letters in a name can not be in negative number,

Y=22,

So X=(Y+16)/2

X=19

7 0
3 years ago
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