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lesya692 [45]
3 years ago
9

For what value of (a) does the equation 3x+5=ax+5 have infinitely many solutions? Explain.

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
8 0
0 because anything times 0 equals 0 so it would not be important what you multiply 0 by
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Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and
kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

x=y+2

2. Each bottle of soda has 35 grams of sugar, then there are 35x g of sugar in x bottles of soda.

Each bottle of juice has 10 grams of sugar, then there are 10y g of sugar in y bottles of juice.

In total, there are 35x+10y g of sugar.

All bottles collectively contain 385 grams of sugar, thus

35x+10y=385

3. Solve the system of two equations:

\left\{\begin{array}{l}x=y+2\\ \\35x+10y=385\end{array}\right.

Substitute the first equation into the second equation:

35(y+2)+10y=385\\ \\35y+70+10y=385\\ \\35y+10y=385-70\\ \\45y=315\\ \\y=7\\ \\x=7+2=9

7 0
3 years ago
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Answer quickly please I really need this answer right now
erastova [34]

Answer:

Answer Choice A (8, eight)

Step-by-step explanation:

To begin, add all of the marbles together. When finished, the answer should be 20. Because the variable 20 equals 100, you divide 4 by 100. You will get 0.04 as a result. This multiplied by 20 equals 8. Finally, the answer is A.

8 0
2 years ago
What is the point slope of the line when slope is -4 and the given coordinates are (4,-9)
Lina20 [59]

The point-slope form of the equation of a straight line is:

y-y_1=m(x-x_1)

We have:

m=-4\\(4;-9)\to x_1=4;\ y_1=-9

Substitute:

y-(-9)=-4(x-4)\\\\\boxed{y+9=-4(x-4)}

8 0
3 years ago
What does (-5) + (-4) =?
Stolb23 [73]

Answer:

-9

Step-by-step explanation:

3 0
3 years ago
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A group of friends want to go to the county fair for $2.50 per person and to catch a trolley into the fairground is $10 for the
miskamm [114]

Answer:

10 friends got into the fair

Step-by-step explanation:

If county fair cost is $2.5 per person

$10 to catch a trolley

total cost = $35

Total county fair cost= total cost - trolley cost

= $35 - $10

= $25

So if $25 was spent on county fair, then the number of friends that went is

$25/$2.5 = 10

That is total cost divided by cost per person gives number of persons

4 0
2 years ago
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