Hayden bought 48 new training cards.Three Fourths of the new cards are baseball cards.How many baseball cards did he buy?

The difference of two numbers is 42. the larger number is three less than six times the smaller number. find the numbers.

IgorLugansk [536]

X and y are the numbers
x>y

diffference is 42
x-y=42

larger is 3 less than 6 times smaller
x=-3+6y

subsitute -3+6y for x

x-y=42
-3+6y-y=42
-3+5y=42
add3 to both sides
5y=45
divide both sides by 5
y=9

sub back

x=-3+6y
x=-3+6(9)
x=-3+54
x=51

the numbers are 51 and 9

5 0

3 years ago

Hey what's the answer ? <img src="https://tex.z-dn.net/?f=%28x%20-%20y%29" id="TexFormula1" title="(x - y)" alt="(x - y)"

Varvara68 [4.7K]

Answer:

 -1

Step-by-step explanation:

here's your solution

=> The value of x = 1

=> The value of y = 2

=> we need to find ( x - y)

=> so, put the value of above variables in it

=> hence, (1 - 2) = - 1

=> - 1 is correct answer

hope it helps

3 0

3 years ago

An angle in a triangle measures 138 °. The other two angles are congruent. Enter and solve an equation to find the x measure of

Juli2301 [7.4K]

Hey there! I"m happy to help!

The interior angles of a triangle add up to 180. We have 2 angles that have a value of x, so 2x+138=180.

We subtract 138 from both sides.

2x=42

We divide both sides by 2

x=21.

Have a wonderful day! :D

5 0

3 years ago

Sned help, and answer asap pls

borishaifa [10]

Answer:

percents

Step-by-step explanation:

8 0

3 years ago

According to postal regulations, a carton is classified as "oversized" if the sum of its height and girth (the perimeter of its

Amanda [17]

Answer:

V(max) = 8712.07 in³

Dimensions:

x (side of the square base) = 16.33 in

girth = 65.32 in

height = 32.67 in

Step-by-step explanation:

Let

x = side of the square base

h = the height of the postal

Then according to problem statement we have:

girth = 4*x (perimeter of the base)

and

4* x + h = 98 (at the most) so h = 98 - 4x (1)

Then

V = x²*h

V = x²* ( 98 - 4x)

V(x) = 98*x² - 4x³

Taking dervatives (both menbers of the equation we have:

V´(x) = 196 x - 12 x² ⇒ V´(x) = 0

196x - 12x² = 0 first root of the equation x = 0

Then 196 -12x = 0 12x = 196 x = 196/12

x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in

and from equation (1)

y = 98 - 4x ⇒ y = 98 -4 (16,33)

y = 32.67 in

and maximun volume of a carton V is

V(max) = (16,33)²* 32,67

V(max) = 8712.07 in³

3 0

3 years ago