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Tasya [4]
3 years ago
10

When Kylie asked her grandfather how old he was, he replied, "the two digits in my age are the ages of your brother isaac and si

ster kendra. if you add their ages to mine, the sum is 83." how old is kylie's grandfather
Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

Kylie's grandfather is 73 years old.

Step-by-step explanation:

Let the first digit in Kylie's grandfather's age be x, which is the age of Isaac

Let the second digit in Kylie's grandfather's age be y, which is the age of Kendra.

Therefore from the given information we can say that

(10x + y) + x + y = 83

therefore 11x + 2y = 83

Let us take x  = 7 then we get  77 + 2y = 83 \Rightarrow y = 3

Therefore we can say Issac's age is 7

and Kendra's age is 3

and the age of Kylie's grandfather is 73.

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Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are multiples of 4 or 7
Anestetic [448]

Answer:

Multiples of 4= 28

Multiples of 7= 7,21,28,35,42

Step-by-step explanation:

I hope this helps, and have a great day! :)

7 0
3 years ago
How to solve <br> 3+5x=20+7x
Karo-lina-s [1.5K]

3 + 5x = 20 + 7x

First subtract 20 to both sides

-17 + 5x = 7x

Next subtract 5x to both sides (we are trying to get x all in one side)

-17 = 2x

Divide 2 to isolate the x

-17/2 = x or -8.5 = x

4 0
3 years ago
Read 2 more answers
9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distanc
irakobra [83]

<h3><u>Answer:</u></h3>

  • B) 22.32 feet

\quad\rule{300pt}{1pt}

<h3><u>Solution</u><u>:</u></h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

\qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull

Here,

  • hypotenuse = 23 feet
  • \theta = 76°
  • Value of Sin\theta = 0.97
  • Perpendicular = ?

\quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}

\quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }

\quad\dashrightarrow\quad \sf { P = 22.32}

‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>distance </u><u>from </u><u>the </u><u>top </u><u>of </u><u>the </u><u>ladder </u><u>to </u><u>the </u><u>ground </u><u>is </u><u>2</u><u>2</u><u>.</u><u>3</u><u>2</u><u> </u><u>feet </u><u>!</u>

\rule{300pt}{2pt}

4 0
2 years ago
The base of an isosceles triangle is parallel to the x-axis. The y-axis passes through an end point of the base. If the endpoint
AnnyKZ [126]
The first x coordinate is given by 0 and the second one is given as j. So the length of the base is j. (Sometimes in math they give letters rather than numbers. And since you know it is an isosceles then the other vertex should be at x-coordinate half j or j/2.
5 0
3 years ago
1/2(a+b)-(a-b)exponent2 when a=18 and b=14
lora16 [44]

Answer:

0

Step-by-step explanation:

Substitute the given values for a and b into the expression

\frac{1}{2}(18 + 14) - (18 - 14)²

= \frac{1}{2} × 32 - 4²

= 16 - 16

= 0

8 0
3 years ago
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