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Tanya [424]
3 years ago
15

Solve for y: 10.3 = 0.6y

Mathematics
2 answers:
kotegsom [21]3 years ago
8 0
6.18
10.3 substitutes y in the expression. You would multiply 0.6(10.3) to get your answer.
Mademuasel [1]3 years ago
7 0
Y is being multiplied by 0.6 so you have to divide by 0.6 on both sides to leave y alone.
y=10.3/0.6
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Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
Cerrena [4.2K]

Answer: A. 30+(-12)+70

Step-by-step explanation:

Commutative property of addition is given by : a+b = b+a , where a and b can be any expression of real numbers.

It basically changes the order of the so that simplification of any expression becomes easier.

In A. we use this property as

30+(-12)+70 = 30+[(-12)+70]

= 30 + [70+(-12)]  [we switched order of (-12) and 17]

= 30+70-12

= 100-12

= 88

The rest of the expression already arranged accordingly, there is no need to apply commutative property to change the order of the numbers.

So the correct option is A. 30+(-12)+70.

3 0
3 years ago
Before sending in your payment to the credit card company, you go to a bicycle store. Approximately, how much
umka21 [38]

Answer:b

Step-by-step explanation:

4 0
2 years ago
Need answers and work work for 6
Lana71 [14]

gaining speed 65 -50= 15 mph

mom's headstart 50*1.5 =75 miles

time to catch up 75/15=5 hours

distance to meeting 5*65=325 miles

50x=205

4.1 hour 4 hours 6 minutes

12:06:00 pm

dad

65x=205

3.15 hours = 3 hours 9 minutes 13 seconds

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4 0
3 years ago
Find the dimensions of the shaded region so that its area is maximized.<br> x=<br> y=
musickatia [10]
1.  Find the equation of the line AB.  For reference, the answer is y=(-2/3)x+2.
2.  Derive a formula for the area of the shaded rectange.  It is A=xy (where x is the length and y is the height).
3.  Replace "y" in A=xy with the formula for y:  y= (-2/3)x+2:
       
                 A=x[(-2/3)x+2]    This is a formula for Area A in terms of x only.
4.  Since we want to maximize the shaded area, we take the derivative with respect to x of    A=x[(-2/3)x+2] , or, equivalently, A=(-2/3)x^2 + 2x.
This results in   (dA/dx) = (-4/3)x + 2.
5.  Set this result = to 0 and solve for the critical value:  

(dA/dx) = (-4/3)x + 2=0, or (4/3)x=2   This results in x=(3/4)(2)=3/2

6.  Verify that this critical value x=3/2 does indeed maximize the area function.
7.  Determine the area of the shaded rectangle for x=3/2, using the previously-derived formula          A=(-2/3)x^2 + 2x.

The result is the max. area of the shaded rectangle.
3 0
3 years ago
Easy :)<br> solve any ones you want
liberstina [14]

Answer:

3. D, Additive Property of Equality

4. x < 2

5. attached graph

Step-by-step explanation:

3. Additive Property of Equality: this means that you can add/subtract a number from one side, as long as you can do it to the other. as shown in steps 4 and 5, this is what they have done in order to get x by itself.

4. to solve -3x + 8 > 2x - 2, we want to get <em>x</em> by itself on one side. we can treat the inequality sign as an equal sign to solve

-3x + 8 > 2x - 2 < -- subtract 8 from both sides to get -3x alone

-8                -8

-3x > 2x - 10 < -- subtract 2x from both sides to get 2x with the -3x

-2x   -2x

-5x > -10 <-- divide both sides by -5 to get <em>x</em> alone

when we divide by a negative number in an inequality, we flip the sign. so > becomes < once we divide by -5. this is important to ensure we get the right answer

-5x/-5 = x

-10/-5 = 2

x < 2

this inequality means that any value for <em>x</em> has to be <em>less than</em> 2 in order for the inequality to be true

on a number line it would look like the following:

<---------------2) - - - - - - - - >

the numbers to the left of 2 would be shaded in, as those are less than 2. the number 2 would have either an open circle on top of it or a parentheses facing to the left, either one works.

5. to graph y < 2/5x - 4, we want to get this equation into slope intercept form which is y = mx + b, where mx is the slope and b is the y-intercept

again, treat the inequality symbol as an = sign in this case and solve to get y by itself

y = 2/5x - 4 <--- this is already in slope intercept form, so we do not need to solve for y in this case.

to graph this, we would need to start at the y-intercept which is (0, -4). i will attach a graph to make this a bit easier visually

from there, you would use the slope to find another point on the graph. the slope is rise/run which also means y/x.

so you would need to go 2 units up from (0, -4), and 5 units right from where you landed

since this is an inequality, we will need to find any answers on the graph that satisfy the inequality by shading in the region where those points are solutions.

to do this we need to find a test point. a test point tells us whether or not that point and anything in its section is included in the solution. if the inequality is true with the test point, that answer and anything in that section is included in the answer. if its false, that point and everything in that section is not included.

you can always use the origin (0,0) if its not graphed on the line. in this case, we will use the origin as a test point. so plug in the test point into the original inequality

y < 2/5x - 4

0 < 2/5(0) - 4

0 < -4 <-- this is false and (0,0) and anything in its section is not included as a solution, so you would shade below the line as (0,0) was above the line, and anything above the line cannot be used as a solution to the inequality

graph the line connecting the two points using a dotted line as the inequality symbol is <, meaning points on that line are not solutions to the inequality

with the graph i attached, shade in the entire dark blue area. the graph is a bit rough but your graph should look similar to that

4 0
2 years ago
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