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Darina [25.2K]
2 years ago
13

If 7.5 plus 6.8 times a number equals the sum of the number and 89.6, what is the number?.

Mathematics
2 answers:
anzhelika [568]2 years ago
7 0

7.5 + 6.8x = x + 89.6

...subtract x

7.5 + 5.8x = 89.6

...subtract 7.5

5.8x = 82.1

...divide by 5.8

x = 14.16

the number is 14.16

loris [4]2 years ago
3 0

Answer:

14.16

Step-by-step explanation:

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True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (
PtichkaEL [24]

<u>answer (in words)</u>

FALSE. the coordinate pair (5, 2) is not a solution to the equation 2x+3y=10. in order to figure out whether or not the statement is true or false, plug the x and y values from the coordinate pair (5, 2) into the given equation, 2x+3y=10. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

<em>(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)</em>

<u>answer (algebraic/steps for solving)</u>

first, plug in 5 for x in the equation 2x+3y=10.

  • 2x+3y=10 ⇒ 2(5)+3y=10

then plug in 2 for y.

  • 2(5)+3y=10 ⇒ 2(5)+3(2)=10

now your equation is 2(5)+3(2)=10. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

  • 2(5)+3(2)=10 ⇒ 10 + 3(2) = 10

multiply 3 · 2.

  • 10 + 3(2) = 10 ⇒ 10 + 6 = 10

add 10 + 6.

  • 10 + 6 = 10 ⇒ 16=10

16 and 10 are <em>not</em> equal, therefore (5, 2) is not a solution to the equation 2x+3y=10. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

6 0
3 years ago
At a particular fast food restaurant, tacos cost $1.29 and
Arlecino [84]

Answer:

Michael bought 18 tacos and 9 burritos.

Step-by-step explanation:

Since at a particular fast food restaurant, tacos cost $ 1.29 and burritos cost $ 2.19, and Michael spent a total of $ 42.93 at the restaurant to buy food for a party, if he purchased half as many burritos as tacos, to determine how many tacos did he buy, the following calculation must be performed:

1.29 x 20 + 2.19 x 10 = 47.7

1.29 x 16 + 2.19 x 8 = 38.16

1.29 x 18 + 2.19 x 9 = 42.93

So Michael bought 18 tacos and 9 burritos.

4 0
2 years ago
20 POINTS!!!!! (Voting Brainiest) Four Short Math Problems!!
ankoles [38]
1. To find the degree of the polynomial find the variable with the highest exponent, in this case is y^4 which means the degree of the exponent is 4.
2. 1, 2 and 3 are polynomials because there are more than one terms in the expression.
3. It would be a quadratic trinomial.
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3 0
3 years ago
Read 2 more answers
suppose that the population of a deer in state is 1500 and is growing 2% each year. predict the population after 4 years
aleksklad [387]
1500*2%=30
30*4=120
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4 0
3 years ago
Ivan wants to fill with foam the empty space left in a cube-shaped box after he places a basketball in the box. How many cubic i
Ann [662]

Answer:

280 cubic inches

Step-by-step explanation:

Cubic inches of foam required = volume of the box - volume of the basketball

The box has a shape of a cube, so that;

volume of the box = l^{3}

where l is the length of the sides of the box.

volume of the box = 9^{3}

                               = 729 cubic inches

volume of the box = 729 cubic inches

The basketball has the shape of a sphere, so that;

volume of the basketball = \frac{4}{3} \pir^{3}

                                          = \frac{4}{3} x 3.14 x (4.75)^{3}

                                           = 448.693

volume of the basketball = 448.693 cubic inches

Thus,

cubic inches of foam required = 729 - 448.693

                                                   = 280.307

The cubic inches of foam to be used is 280 cubic inches.

6 0
2 years ago
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