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ra1l [238]
3 years ago
10

Grace is preparing grab bags for her stores open house she has 24 candles 16 pens and 40 figures each grab bag will be the same

how many items can grace put in each bag
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0
Cpfccpffff
cpfccpffff
cpfccpffff
cpfccpffff
cpfccpffff
cpfccpffff
cpfccpffff
cpfccpffff

c=candles
p=pens
f=figures
10 total items 3 candles, 2pens, 5 figures
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Exercise #4
vlada-n [284]

Answer: im not smart so i cant anwer that

Step-by-step explanation:

:)

7 0
3 years ago
A father's age is three less than two times the son's age. The difference in their ages is 30 years. Find the son's age.
kkurt [141]

You can set up a systems of equations to solve this problem.

The equation y = 2x-3 represents the father's age where y = The father's age and x = The son's age.

The equation 30=y-x represents the difference between the two ages.

In order to be able to solve a system, the two equations can be in the same form. (They don't need to be it's just easier for me to have them in the same form) One is in standard form (ax+by= c) and the other one is in slope intercept form (y=mx+b where m is the slope and b is the y- intercept).

Lets put the equation y=2x-3 into standard form.

y=2x-3

+3 +3

y+3=2x

-y -y

3=2x-y

We have the two equations 30=y-x and 3=2x-y

Now to solve the system.

30=y-x

3=2x-y or 3=-y+2x

30=y-x

3=-y+2x The -y and y cancel each other out since they are the same term but are the inverse of each other one is neg one is pos.

Your left with

30=-x Now you just combine the two equations. 30+3 and 2x-x

3=2x

33=x The son's age is 33. To Find the Fathers age we would just plug 33 for x into one of the equations to find the Fathers age.

SON'S AGE IS 33

6 0
3 years ago
How do I solve for x
Alchen [17]
Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
a^2+b^2=c^2

Input the information from the diagram into the formula: 
(x)^2+(x+7)^2=(13)^2

Expand each term:
(x)^2+(x+7)^2=(13)^2

x^2+((x+7)(x+7))=169

x^2+(x(x+7)+7(x+7))=169

x^2+x^2+7x+7x+49=169

Combine like terms:
2x^2+14x+49=169

Add -169 to both sides:
(2x^2+14x+49)+(-169)=(169)+(-169)

2x^2+14x-120=0

Factor out the Common Term (2):
2(x^2+7x-60)=0

Factor the Complex Trinomial:
2(x^2-5x+12x-60)=0

2(x(x-5)+12(x-5))=0

2(x-5)(x+12)=0

Set Factors to equal 0:
x-5=0

x=5

or

x+12=0

x=-12

However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is: 
\boxed{x=5}

I hope this helped!
-Benjamin

6 0
2 years ago
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin
Nana76 [90]

The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

40 > AC

or

AC < 40

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

3 0
1 year ago
There are 10 students on the track team who compete in sprinting events. They make up 25% of the track team. How many students a
kvv77 [185]

Answer:

40

Step-by-step explanation:

10/x = 25/100

Cross multiply 10 and 100 = 1000.

Then, divide 1000 by 25 = 40.

10/40 = 0.25 = 25%

8 0
3 years ago
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