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Triss [41]
3 years ago
5

Which calculation will ALWAYS give a result greater than 1? A.5 × a number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 -

a fraction less than 3/4 D.7/8 × a number less than 1
Mathematics
1 answer:
Bas_tet [7]3 years ago
3 0

Answer:

  C.  1 3/4 - (a fraction less than 3/4)

Step-by-step explanation:

Your number sense should be able to help you with this one.

A. 5 × 1/10 = 1/2, not a number greater than 1

B. 4/9 + 1/3 = 7/9, not a number greater than 1

C. 1 3/4 -1/2 = 1 1/4, a number greater than 1 (see below for more explanation)

D. 7/8 × 1/2 = 7/16, not a number greater than 1.

__

<em>More explanation</em>

Let x represent a number less than 3/4. Then we want to make sure that ...

  y = 1 3/4 - x

will be greater than 1.

Solving for x, we get ...

  x = 1 3/4 - y

Applying the requirement that x < 3/4, we have ...

  x < 3/4

  (1 3/4 -y) < 3/4

  1 3/4 < y + 3/4 . . . . . . add y

  1 < y . . . . . . . . . . . . . . .subtract 3/4

We see that the condition on x makes sure that y is always greater than 1.

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Please answer this question correctly for 24 points and brainliest!!
amm1812

Answer:

  $110

Step-by-step explanation:

Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...

  a + b + c = 480 . . . . . . the combined total of their earnings

  -a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan

  2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan

Adding the first and third equations, we get ...

  (a + b + c) + (2a - c) = (480) + (0)

  3a + b = 480

Subtracting the second equation gives ...

  (3a +b) - (-a +b) = (480) -(40)

  4a = 440 . . . . . . . . simplify

  a = 110 . . . . . . . . . . divide by the coefficient of a

Alan earned $110.

_____

<em>Check</em>

Bob earned $40 more, so $150. Charles earned twice as much, so $220.

The total is then $110 +150 +220 = $480 . . . . as required

8 0
3 years ago
50 balls are number 1 to 50 and a red dot is painted on those balls that are a multiple of 7. The balls are mixed into a bag and
miv72 [106K]
Hello,

The multiples of 7 are 7,14,21,28,35,42,49 : 7 balls
The multiples of 5 are 5,10,15,20,25,30,35,40,45,50 :10 balls
In total there are 50 balls
But there is a commun ball 35

p=(7+10-1)/50=16/50=8/25=0.32

4 0
3 years ago
Write an equation of a circle whose center is (-5,4) and whose diameter is 12
musickatia [10]

Answer:

(x + 5)² + (y - 4)² = 36

Step-by-step explanation:

The equation of a circle in standard form id

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (- 5, 4) and r = 12 ÷ 2 = 6 , thus

(x - (- 5))² + (y - 4)² = 6², that is

(x + 5)² + (y - 4)² = 36

3 0
3 years ago
A cylinder has a radius of 7 inches and a height of 13 in. What is the volume<br> of the cylinder?
madreJ [45]

Answer:

2,637.18 in^{3}

Step-by-step explanation:

The formula for finding the volume of a cylinder is....

V = π r^{2}h

π = 3.14

Radius = 7

Height = 13

Now that we have what we need, we can substitute the numbers into the equations to get our volume

V = π r^{2}h

V = 3.14 * 7^{2} * 13

V = 3.14 * 49 * 13

V = 202.86 * 13

V = 2,637.18

The volume of the cylinder is 2,637.18 in^{3}

Hope this helped!

have a supercalifragilisitcexpialidocious day!

5 0
2 years ago
Elina had 10 tiles to arrange in a rectangular design. She drew a model of the rectangles she could make with the 10 tiles. What
Ksju [112]

Answer:ur mising 346789

Step-by-step explanation:

7 0
3 years ago
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