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borishaifa [10]
3 years ago
9

julio is payed 1.4 times his normal hourly rate for each hour he works over 30 hours in a week last week he worked 35 hours and

earned 436.60. write and solve an equation to find julio's normal hourly rate. explain how you know your answer is reasonable
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0
Divide 30/1.4 and 436.60 should give uu how much he makes in his normal hourly rate multiply that by 5 and subtract that number from 436.60
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Triss [41]

Answer:

C

Step-by-step explanation:

Hope this helps

7 0
3 years ago
Triangle A has side lengths of 10 units, 24, units, and 26 units. Ryan cut out 2 copies of triangle A and joined them together t
sergejj [24]

Answer:

Perimeter of Rectangle will be 68 units.

Step-by-step explanation:

Given:

Length of side 1 = 10 units

Length of side 2 = 24 units

Length of side 3 = 26 units

Now we will check whether the triangle A is right angle triangle or not;

(Length of side 3)^{2} = 26^2 = 676

(Length of side 2)^{2} = 24^2 = 576

(Length of side 1)^{2} = 10^2 = 100

Now From above we can see that;

676 = 576 + 100

Hence we can say ;

(Length of side 3)^{2} = ](Length of side 2)^{2} + (Length of side 1)^{2}

By Converse of Pythagoras theorem.

"Hence When the square of the length of the hypotenuse is equal to sum of the square of other two sides we can say that triangle is a right angled triangle."

Now Given:

Ryan cut out 2 copies of triangle A and joined them together to form a rectangle.

So we can say that the hypotenuse side of the triangle will become diagonal of the rectangle and other two side will become length and width.

Now;

Length of rectangle = 24 units

Width of rectangle = 10 units.

We need to find the perimeter of rectangle.

Now Perimeter of rectangle is 2 times sum of Length and width.

framing in equation form we get;

Perimeter of rectangle = 2(l+w) = 2\times (24+10) = 2\times 34 =68 units.

Hence Perimeter of Rectangle will 68 units.

4 0
3 years ago
If the numerator of a fraction is increased by six, the value of the fraction will increase by one. If the denominator of the or
Alchen [17]

Answer:

\dfrac{7}{6}

Step-by-step explanation:

Let \dfrac{a}{b} be the original fraction.

If the numerator of a fraction is increased by six, the value of the fraction will increase by one. Hence,

\dfrac{a+6}{b}=\dfrac{a}{b}+1

If the denominator of the original fraction is increased by 36, the value of the original fraction will decrease by one. Hence,

\dfrac{a}{b+36}=\dfrac{a}{b}-1

Add these two equalities:

\dfrac{a+6}{b}+\dfrac{a}{b+36}=\dfrac{a}{b}+1+\dfrac{a}{b}-1\\ \\\dfrac{a+6}{b}+\dfrac{a}{b+36}=2\dfrac{a}{b}\\ \\\dfrac{a}{b+36}=\dfrac{2a-(a+6)}{b}\\ \\\dfrac{a}{b+36}=\dfrac{a-6}{b}\\ \\ab=(a-6)(b+36)\\ \\ab=ab+36a-6b-216\\ \\36a-6b-216=0\\ \\6a-b-36=0\\ \\b=6a-36

Substitute it into the first equation:

\dfrac{a+6}{6a-36}=\dfrac{a}{6a-36}+1\\ \\\dfrac{a+6}{6(a-6)}=\dfrac{a}{6(a-6)}+1\\ \\a+6=a+6(a-6)\\ \\a+6=a+6a-36\\ \\6a=6+36\\ \\6a=42\\ \\a=7\\ \\b=6\cdot 7-36=42-36=6

Thus, the initial fraction was

\dfrac{7}{6}

6 0
4 years ago
3. There were 6987 people in a village in the year 2009.
slava [35]

Answer: 5689

Step-by-step explanation:

6987

- 1289

= 5698

7 0
3 years ago
Which of the numbers 19,21,23, and 25 has the most factors
guapka [62]
First let's find the factors of each number:
19: 1,19
21: 1,3,7,21
23: 1,23
25: 1,5,25
21 has 4 factors, 25 has 3 and 23 and 19 are both prime numbers (with two factors).  21 has the most factors.
5 0
3 years ago
Read 2 more answers
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