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diamong [38]
3 years ago
6

Yuri needs to ship an order of 7,200 ornaments to a store. Each large carton holds 64 ornaments. Yuri fills as many cartons as h

e can with 64 ornaments, and then places any ornaments leftover in a smaller carton. How many cartons in all does Yuri need to use? How many ornaments will there be in the smaller carton?
Mathematics
1 answer:
koban [17]3 years ago
3 0

Answer:

32

Step-by-step explanation:

If you divide 7200 by 64 you get 112.5 or 112 large boxes. If you do 112*64 you get 7168. Subtract 7168 by 7200 and you get 32

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Together, Tom and Max have 72 baseball cards. Tom has 2 more than times as many as Max has. How many baseball cards does Tom hav
Alecsey [184]
The answer will be 144 because if u had 72 × 2 u would get 11
7 0
3 years ago
Read 2 more answers
Quetion to represent each problem the sum of 15 and six times a number tea is 80 One what is the number
andrew-mc [135]

Answer: 11

Step-by-step explanation: The sum of 15 and six times t will be 15 + 6t = 81.

Now, you subtract 15 from both sides to isolate the constants from the variables on the left side and on the other side and you will end up with 6t = 66. Then, you divide 6 from both sides to finally isolate the numbers from the variable and 66 divided by 6 would equal 11


Hope this Helps :)


6 0
3 years ago
Helpppppppppppppppppppppppp
alexdok [17]
First we rewrite the expression:
 (4x ^ 3) * (2x) ^ - 4
 Using properties of exponents we have:
 (4x ^ 3) / (2x) ^ 4
 Rewriting:
 (4x ^ 3) / 16x ^ 4
 (x ^ 3) / 4x ^ 4
 (1) / (4x)
 answer:
 An equivalent expression is:
 (1) / (4x)
 option 1
5 0
3 years ago
Read 2 more answers
What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1? PLs HELP!!
Delicious77 [7]
ANSWER
f(x)= \frac{1}{4} {(x - 1)}^{2}

EXPLANATION

Since the directrix is
y = - 1

the axis of symmetry of the parabola is parallel to the y-axis.

Again, the focus being,

(1,1)

also means that the parabola will open upwards.

The equation of parabola with such properties is given by,

{(x - h)}^{2} = 4p(y - k)
where
(h,k)

is the vertex of the parabola.

The directrix and the axis of symmetry of the parabola will intersect at
(1, - 1)

The vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix.

This implies that,
h = \frac{1 + 1}{2} = 1

and
k = \frac{ - 1 + 1}{2} = 0

The equation of the parabola now becomes,

(x - 1) ^{2} = 4p(y - 0)

|p| = 1

Thus, the distance between the vertex and the directrix.

This means that,

p = - 1 \: or \: 1

Since the parabola opens up, we choose
p = 1
Our equation now becomes,

{(x - 1)}^{2} = 4(1)(y - 0)

This simplifies to
{(x - 1)}^{2} = 4y

or

y = \frac{1}{4} {(x - 1)}^{2}

This is the same as,

f(x)= \frac{1}{4} {(x - 1)}^{2}

The correct answer is D .
4 0
3 years ago
Edwin and Anthony are building a rectangular deck in their backyard.The Longer side is 2 more than 1/3 the perimeter. The shorte
vlada-n [284]

Answer: The perimeter is 30ft.

Step-by-step explanation:

Let's define:

L = length of the longer side.

S = length of the shorter side.

P = perimeter

we know that for a common rectangle:

P = 2*S + 2*L

We aso know that:

L = 2ft + (1/3)*P

S = (1/10)*P

L = S + 9ft.

So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)

First, we can replace the third equation in the first equation, now we have a system with only two equations:

S + 9ft = 2ft + (1/3)*P

S = P/10

Now we can replace the second equation in the first equation, and get:

P/10 + 9ft = 2ft + P/3

Now let's solve this for P.

9ft - 2 ft = P/3 - P/10

7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)

(30/7)*7ft = P = 30ft.

The perimeter is 30ft.

5 0
3 years ago
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