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evablogger [386]
2 years ago
15

Of the bundles delivered daily to the store, 1/3

Mathematics
1 answer:
Triss [41]2 years ago
3 0

Answer:

x=9

Step-by-step explanation:

Let total bundle=x

Morning edition of the daily sun=1/3x

=x/3

Afternoon edition of the daily sun=2

That leaves 2x/3 - 2, of which

x/3 - 1 are regional

1 is local

1 from another state

Sum everything

x = x/3 + 2 + x/3 - 1 + 1 + 1

x=2x/3 +3

x-2x/3=3

3x-2x/3=3

x/3=3

Cross product

x=3×3

x = 9

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Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right
stich3 [128]

Answer:

The value of y is 6\sqrt{3} units ⇒ 2nd answer

Step-by-step explanation:

In the attached figure

∵ ∠MTN is a right angle

∵ TU is the altitude of the triangle

- There are some rules in this triangle let us revise them

  • (NT)² = NU . NM
  • (MT)² = MU . MN
  • (TU)² = MU . NU
  • TM . TN = TU . MN

∵ NU = 9 units

∵ UM = 3 units

∵ MN = UM + NU

∴ MN = 3 + 9 = 12 units

- By using the 1st rule above

∴ (NT)² = 9 × 12

∴ (NT)² = 108

- Take a square root to both sides

∴ NT = \sqrt{108}

- Simplify the root

∴ NT = 6\sqrt{3} units

∵ NT is y

∴ y = 6\sqrt{3} units

The value of y is 6\sqrt{3} units

8 0
2 years ago
Read 2 more answers
Ronald finished his daily jog and wants a drink. In his refrigerator there are 2 cans of energy drink, 9 cans of soda, and 11 bo
Yuliya22 [10]

Answer:

P(water)=11/22=1/2

Step-by-step explanation:

The number of bottles with water is 11

The total number of bottles is 11 +9+2=22

Sothe probability that Ronald chooses a bottle of water is

P(water) =N(water)/N(total)=11/22=1/2

4 0
2 years ago
Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?
AleksAgata [21]

we are given

12x^3-2x^2+18x-3

Firstly, we will split terms

2x^2*6x-1*2x^2+3*6x-1*3

We can group first two and last two terms

(2x^2*6x-1*2x^2)+(3*6x-1*3)

we can see that 2x^2 is common in first two terms

and 3 is common in last two terms

so, we can factor factor out 2x^2 from first group and 3 from second group

we get

=2x^2(6x-1)+3(6x-1)

we can see that each terms are multiple of 6x-1

so, we can factor out 6x-1

so, we get

12x^3-2x^2+18x-3 =(2x^2+3)(6x-1)............Answer


4 0
2 years ago
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A 20-inch diameter bicycle tire rotates 200 times.
fenix001 [56]

Answer: B)1,047 feet

Step-by-step explanation:

Hi, to answer this question, first, we have to calculate the circumference of the tire:

Circumference(C): π x diameter

C = π (20) = 62.83 inches.

Since 1 foot is equal to 12 inches.

62.83 ÷ 12 = 5.23 feet

Finally we have to multiply the result by 200:

5.23 x 200 = 1,047 feet

Feel free to ask for more if needed or if you did not understand something.

8 0
2 years ago
If CX = 5 units, then DZ = ___ units
gulaghasi [49]

Answer:

DZ=4\ units

Step-by-step explanation:

we know that

If CD is parallel to XZ

then

Triangle XYZ is similar to Triangle YCD

therefore

The ratio of their corresponding sides are equal

\frac{XY}{CY}=\frac{ZY}{YD}

we have

CX=5\ units, CY=25\ units, YD=20\ units,

XY=CX+CY

XY=5+25=30\ units

ZY=YD+DZ

ZY=20+DZ

substitute the values

\frac{30}{25}=\frac{20+DZ}{20}

20\frac{30}{25}={20+DZ}

24={20+DZ}

DZ=4\ units

5 0
2 years ago
Read 2 more answers
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