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3 years ago

Evaluate the expression -6 + a when a = -8

Mathematics

1 answer:

aleksandrvk [35]3 years ago

5 0

Answer:

-14

Step-by-step explanation:

Substitute -8 for a.

-6 + a

a becomes -8.

-6 +(-8)

-6-8

-14

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If the sum of a number and five is doubled, the results is one less than the number.find the number

Serga [27]

Answer:

$-11$

Step-by-step explanation:

Let the number be "x"

So,

Sum of the number and 5 is DOUBLED, the result would be ONE LESS THAN number, so we can write:

(x + 5)*2 = x - 1

See how we took the sum, added parenthesis and then DOUBLED it (LHS). And RHS is 1 less than number (x). Now we simply use distributive property [ a(b+c) = ab + ac ] to simplify and solve for x, the number. Shown below:

$(x + 5)*2 = x - 1\\2x+10=x-1\\2x-x=-1-10\\x=-11$

Thus,

the number is -11

8 0

3 years ago

A game has a circular playing area in which you must hit a ball into a circular hole. The area of the playing area is 16ft2. The

Bad White [126]

Answer:

$4.9\%$

Step-by-step explanation:

we know that

To find out the probability of hitting a ball into the circular hole, divide the area of the hole by the area of the playing area

Let

x ----> the area of the hole

y ----> the area of the playing game

$P=\frac{x}{y}$

we have

$y=16\ ft^2$

<em>Find the area of the hole</em>

The area of the circle (hole) is equal to

$A=\pi r^{2}$

we have

$r=1/2=0.5\ ft$ ----> the radius is half the diameter

assume

$\pi =3.14$

substitute

$A=(3.14)(0.5)^{2}$

$A=0.785\ ft^2$

<em>Find the probability</em>

$P=\frac{x}{y}$

we have

$x=0.785\ ft^2$

$y=16\ ft^2$

substitute

$P=\frac{0.785}{16}$

$P=0.0491$

Convert to percentage

$0.0491*100=4.91\%$

Round to the nearest tenth

$4.9\%$

5 0

3 years ago

100+100÷100-100=10 prove it

Volgvan

Answer:

Step-by-step explanation:

100 + 100÷100 - 100 = 100 + 1 -100 {apply BODMAS}

= 101 - 100 = 1

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Michael makes a single recipe and shares equally among himself and his four family members .how much french toast will they get

LekaFEV [45]

8 ÷ 5 = 1.6
Each family member will receive 1.6 of French toast.

6 0

4 years ago

The distance between the library and the grocery store is 4cm on the map .the actual distance is 12 km what is the scale of the

Alborosie

Answer:

Step-by-step explanation:

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