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3 years ago

Use the Distributive Property to expand this expression: a(–3.5 – 6.8b)

Mathematics

1 answer:

astra-53 [7]3 years ago

6 0

Answer:

-3.5a-6.8ba

Step-by-step explanation:

You distribute the number or variable on the outside on each number or variable on the outside

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Harold, Clara, and Mark each chose a different lunch from three categories:

Yanka [14]

Answer:

a) Harold

b) Clara

Step-by-step explanation:

Each person has chose a different lunch. Based on this context, it means no one can have the same lunch item.

A explanation)

Mark must eat soup since he doesn't eat bread (sandwich) or salads.
Clara must eat salad since Mark is eating the soup and Clara doesn't eat sandwiches.
Therefore, Harold must eat the only different lunch item; sandwich. Since Harold had the sandwich, he also has the milk.

B explanation)

The person who had soup had iced tea; meaning Mark drank Iced Tea.
The person who had the sandwich also had the milk; Harold drank milk.
The only person missing a drink is Clara, so she ordered mineral water.

8 0

3 years ago

Does someone knows how to solve this?<br><br>Completing the Square:<br><br>x^2-6x=15

Mnenie [13.5K]

The answer to your question is

4 0

3 years ago

How do you find the radius of a right cylinder with having the height and surface area?

RoseWind [281]

So we know that surface area is top circle +bottom circle+ (circumfurence times height so) 2(π(radius)^2)+(height(2π(r))) so fill in the blanks
it's kind of hard to see but πr means pi times radius (r)
2πr^2+((4.2)(2)(π)(r))=628.3
factor out the 2 so the equation would mean
2((πr^2)+(4.2πr))=628.3
divide both sides by 2
πr^2+4.2πr=314.15
what's interesting is that the first few digits of pi are 3.1415 so we aproximate pi as 3.14 and divide both sides by 3.1415
r^2+4.2r=100
subtract 100 from both sides
r^2+4.2r-100=0
factor
(x-8.11812)(x+12.3181)=0
so (if xy=0 then x or/and y must be 0 so)we set them to 0 so
x-8.11812=0
x=8.11812

second one
x+12.3181=0
x=-12.3181
since radii (or any legnth) cannot be negative, we can cross this solution out so

radius=8.11812

5 0

4 years ago

Sarah has $17.00 she can spend on some carnival rides at $0.50 each and a hot dog for $3.00.

siniylev [52]

The anwser is c :))))))))

6 0

4 years ago

Before a bag of flour can be sold, it must be 40 kilograms but can be within 0.5

Serjik [45]

Answer:

The minimum acceptable weight of the flour bag is 39.5 kg,

and its maximum acceptable weight is 40.5 kg

Step-by-step explanation:

Notice that the selling weight of the bag to be sold (x) needs to differ from 40 kg at most 0.5 kg. Therefore, we can write the following inequality:

$|x-40|\leq 0.5$

The inequality can be solve once we remove the absolute value symbol, and solve for the unknown "x". Recall that in order to solve it, we need to consider the two possible cases:

a) that the expression within the absolute value symbol is larger than or equal to zero, and b) that the expression is less than zero.

a) If $x-40\geq 0$ then its absolute value is equal to itself (x-40), and when we remove the absolute value symbols, we get:

$x-40\leq 0.5\\x\leq 0.5+40\\x\leq 40.5\,\,kg$

which means that the weigh "x" of the flour bag should be smaller or equal than 40.5 kg

b) If $x-40$ , then the absolute value of this is its opposite : -x+40, and the inequality becomes:

$-x+40\leq 0.5\\40\leq 0.5+x\\40-0.5\leq x\\39.5\leq x$

which means that the weight of the flour bag must be larger than or equal to 39.5 kg

So, the minimum acceptable weight of the flour bag is 39.5 kg, and the maximum acceptable weight is 40.5 kg

6 0

3 years ago