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Vsevolod [243]
3 years ago
11

3. Tim has 5/12 of a jar of blackberry jam and 3/8

Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

Answer:

The answers are 10/24 and 9/24.

Step-by-step explanation:

Given:

Tim has 5/12 of a jar of blackberry jam and 3/8  of a jar of strawberry jam.

Now, to write using a common denominator.​

So, we get the multiples of denominator of the fractions to get common denominator:

12 - 12, <u>24</u>, 36.

8  -  8, 16, <u>24</u>.

Here we see that <u>24</u> is the common denominator.

Now, we multiply the numerator and denominator with the same number to get the common denominator of the fractions:

⇒  \frac{5}{12}=\frac{5\times 2}{12\times 2} =\frac{10}{24}

⇒  \frac{3}{8}=\frac{3\times 3}{8\times 3} =\frac{9}{24}

Therefore, the answers are 10/24 and 9/24.

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If you borrow $5000 at an interest rate of 8% for 9 years how much interest will you pay? (I got $3600 but I don't know if its r
natta225 [31]

Step-by-step explanation:

Principal:- $5000

Rate= 8%

Time = 9 years

Interest = P×R×T/100

= 500×8×9/100

= 5×8×9

= 40×9

= 360

Hence, Interest = $360.

if it helps don't forget to like and mark me

5 0
3 years ago
Need Help, I do not understand.
Lady_Fox [76]

Answer:

11. x=8, y=30

12. w=63°, x=86°, y=38°, z=25°

13. x=18, y=15

Step-by-step explanation:

You have been studying the angles related to transversals and parallel lines, so you know alternate (interior or exterior) angles are congruent (equal) and same-side (interior or exterior) angles are supplementary. You also know that linear angles sum to 180°, the measure of an angle formed by a straight line.

The red arrows in these diagrams signify that the lines so marked are parallel, so the above relationships apply.

11. The diagonal line is a transversal of the top and bottom parallel lines, so the angle marked 5x° is equal to the angle marked 40°. Writing that relationship as an equation, you have ...

... 5x° = 40° . . . . . . . the relationship of the angles

... x = 40/5 = 8 . . . . divide the equation by 5° to find x

The angle marked 3y° and the angle marked with a right-angle symbol are same-side interior angles formed by the vertical transversal with the top and bottom horizontal lines. Hence those angles are supplementary.

... 3y° +90° = 180°

... 3y° = 90° . . . . . . . subtract 90°

... y = 90/3 = 30 . . . .divide by 3°

12. These problems make use of the sum of angles that form a line (180°) and the sum of angles in a triangle (180°).

Together 117° and w form a line, so ...

... 117° + w = 180°

... w = 63° . . . . . . . . . . subtract 117°

The angles of a triangle add to give 180°, so ...

... w + 31° + x = 180°

... 63° +31° + x = 180° . . . . . put in the known value for w

... x = 180° -63° -31°

... x = 86°

Together, x and 56° and y form a line, so the sum of their measures is 180°.

... x + 56° + y = 180°

... 86° + 56° + y = 180° . . . . put in the known value for x

... y = 180° -86° -56° . . . . . . subtract the constants on the left

... y = 38°

The sum of angles y, 117°, and z is 180°.

... 38° + 117° + z = 180° . . . . use the known value for y

... z = 180° -38° -117° . . . . . . subtract the constants on the left

... z = 25°

13. The relationships used in problem 11 also can be used here.

... 5x° + 90° = 180°

... x = (180° -90°)/5°

... x = 18

The angles involving y are same-side interior angles, so are supplementary.

... 5(y +11)° + (4y -10)° = 180°

... 5y +55 + 4y -10 = 180 . . . . . . eliminate parentheses, divide by °

... 9y +45 = 180 . . . . . . . . . . . . . collect terms

... y + 5 = 20 . . . . . . . . . . . . . . . divide by 9

... y = 15 . . . . . . . . . . . . . . . . . . . .subtract 5

8 0
3 years ago
Substitute for x+2y=12 and x=y-12<br><br> PLEASE HELP !
yan [13]

Answer:

x = -4, y = 8

Step-by-step explanation:

y - 12 + 2y = 12

=> 3y = 24

=> y = 8

x = 8 - 12

=> x = -4

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Answer:

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