8.3 = -0.6 x + 11.3 what is x

Ben got 56 out of 79 in a math test what was his score give it to 1 decimal place i need to no asap

Leviafan [203]

Step-by-step answer:

56 out of 79 is a percentage less than a hundred, because 56 is less than 79.

Take out the calculator then divide fifty-six by seventy-nine, then multiply by a hundred to get seventy-one percent.

If calculators are not allowed, notice that seventy-nine is close to eighty. So divide fifty-six by eighty to get 70%. But since we divided by eighty instead of seventy nine, we need to add approximately one percent to get the right answer.

4 0

3 years ago

Defin was given a riddle to solve: the sum of two consecutive positive integers is 71. find the to positive integers.

seropon [69]

Answer:

The two numbers are 35 and 36.

Step-by-step explanation:

While you could do this question just by 'guess and check', the best way to do it is to divide 71 by 2, which gives 35.5. So out two numbers should be approximately equal to 35.5. So we just take the two closest: 35, and 36, which are consecutive (consecutive means 'one after the other'), and we see add to 71.

So we see that 35 and 36 is the answer.

4 0

3 years ago

The Metropolitan Company sells its latest product at a unit price of $7. Variable costs are estimated to be 20% of the total rev

andrezito [222]

9514 1404 393

Answer:

1125

Step-by-step explanation:

The "contribution margin" of each product is 80% of its unit price, or $5.60. In order to break even, the total contribution margin must match the fixed costs.

$5.60n = $6300

n = 6300/5.6 = 1125

The company should sell 1125 units per month to break even.

3 0

3 years ago

Chelsea has 11 times as many art brushes as Monique. If they have 60 art brushes altogether, how many brushes does chelsea have

Keith_Richards [23]

I did it on the calculator the answer was 0.1833333333333333 i do not know if this is correct if its incorrect then srry :(

6 0

4 years ago

SOMEONE HELP PLEASE! ASAP!

Luba_88 [7]

When two lines intersect, the angles across from the intersection (the "X") are congruent (equal), and referred to as "vertical angles."
So by the rule of vertical angles are congruent, we can set them equal:
${x}^{2} - 6x = 1\div2 \: x + 42 \\ {x}^{2} - 6x - 1 \div 2 \: x = 42 \\ {x}^{2} - 6.5x = 42$
${x}^{2} - 6.5x - 42 = 0 \\ multiply \: both\: sides \: by \: 2 \: to \: get \\ rid \: of \: the \: decimal \\ 2({x}^{2} - 6.5x - 42) = 2(0)$
$2 {x}^{2} - 13x - 84 = 0$
to factor we need the factors of 84:
1×84, 2×42, 3×28, 4×21, 6×14
Now we need one of those factors ×2 ( from the x^2 term) minus the other factor to equal 13 (the middle term)
it turns out that if we use 4×21: 4×2 = 8
and 21-8 = 13. Woohoo! we got it
So now we have:
$2 {x}^{2} - 13x - 84 = 0 \\ (2x - 21)(x + 4) = 0$
Now set each factor = 0
1) 2x - 21 = 0 and 2) x + 4 = 0
1) 2x - 21 = 0, 2x = 21, x = 21/2 = 10.5
2) x + 4 = 0, x = -4

Now we plug in each answer to check:
1) x = 10.5
${x}^{2} - 6x = {(10.5)}^{2} - 6(10.5) \\ = 110.25 - 63 = 47.25$
1/2x + 42 = 1/2(10.5) + 42 = 5.25 + 42 = 47.25
47.25 = 47.25
BAM SO IT LOOKS LIKE THAT'S IT!!
But let's check 2) first:
2) x = -4
${( - 4)}^{2} - 6( - 4) = 16 + 24 = 40$
1/2x + 42 = 1/2(-4) + 42 = -2 + 42 = 40
40 = 40, so both work!!
But it asks for m<1, and <1 is supplementary because it lies on same line, meaning the sum of both = 189
Therefore m<1 = 180 - 47.25 = 132.75°
OR m<1 = 180 - 40 = 140°

6 0

4 years ago