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Svetlanka [38]
2 years ago
12

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5:2 but, after Jacky gave 15 dolls to Peter, the

y have an equal number of dolls. How many dolls did they have altogether?​
Mathematics
2 answers:
Sidana [21]2 years ago
5 0

Answer:

70

Step-by-step explanation:

I am good yeet

sleet_krkn [62]2 years ago
4 0

Answer:

70 dolls

Step-by-step explanation:

Hello!

The ratio is 5:2, which are division of  a whole. They can be represented as 5x and 2x.

Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.

Equation:

  • 5x - 15 = 2x + 15

Solve:

  • 5x - 15 = 2x + 15
  • 5x - 30 = 2x
  • 5x = 2x + 30
  • 3x = 30
  • x = 10

So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.

The total sum is 70 dolls.

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A(-2,3)
Anika [276]

Answer:

The perimeter of triangle is 19.8 units

Step-by-step explanation:

we know that

The perimeter of triangle ABC is

P=AB+BC+AC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

we have

A(-2,3),B(3,0)

substitute in the formula

d=\sqrt{(0-3)^{2}+(3+2)^{2}}

d=\sqrt{(-3)^{2}+(5)^{2}}

d_A_B=\sqrt{34}\ units

step 2

Find the distance BC

we have

B(3,0),C (-4,-3)

substitute in the formula

d=\sqrt{(-3-0)^{2}+(-4-3)^{2}}

d=\sqrt{(-3)^{2}+(-7)^{2}}

d_B_C=\sqrt{58}\ units

step 3

Find the distance AC

we have

A(-2,3),C (-4,-3)

substitute in the formula

d=\sqrt{(-3-3)^{2}+(-4+2)^{2}}

d=\sqrt{(-6)^{2}+(-2)^{2}}

d_A_C=\sqrt{40}\ units

step 4

Find the perimeter

P=AB+BC+AC

substitute the values

P=\sqrt{34}+\sqrt{58}+\sqrt{40}

P=19.8\ units

4 0
3 years ago
Jalen inherited a collection of vintage comic books. An appraiser separated the comic
sladkih [1.3K]

Jalen has total 63 comic books.

Step-by-step explanation:

Given,

Total value of comic books = $3135

Let,

Number of $45 comic books = x

Number of $65 comic books = y

According to given statement;

45x+65y=3135     Eqn 1

x=y+33                  Eqn 2

Putting value of x from Eqn 2 in Eqn 1

45(y+33)+65y=3135\\45y+1485+65y=3135\\110y=3135-1485\\110y=1650\\

Dividing both sides by 110

\frac{110y}{110}=\frac{1650}{110}\\y=15

Putting y=15 in Eqn 2

x=15+33\\x=48

Total comic books = x+y

Total comic books = 48+15 = 63

Jalen has total 63 comic books.

Keywords: addition, elimination method

Learn more about elimination method at:

  • brainly.com/question/10879401
  • brainly.com/question/10940255

#LearnwithBrainly

7 0
3 years ago
9 is a member of A {1,3,8} intersecting D {3,9}
Jet001 [13]

The intersection of the two sets is the list of members that appear in both sets. That is {3}.

Your statement is FALSE.

5 0
3 years ago
What is the median of this set of data?<br> 1, 2, 5, 6,9
Aleksandr-060686 [28]

Answer:

5

Step-by-step explanation:

median = (n+1)/2 th item

n = 5

median = 3rd item = 5

3 0
3 years ago
Match each equation with a value of x that satisfies it
Alexus [3.1K]

Answer:

(x-2)^1/4=2 ---> 18

√x^2+7=4. ---> -3

^3√1-x=-1. ---> 2

Step-by-step explanation:

just did it on plato

5 0
3 years ago
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