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4 years ago

A system of equations has no solution. if y=8x+7

Mathematics

1 answer:

Black_prince [1.1K]4 years ago

3 0

And y=8x+c where c≠7
or
8x-y=-c where c≠7

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The temperature in the production department is 21° C at 12 noon. If

Scrat [10]

28.5 degrees celsius

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3 years ago

Lily has $2. 75 in her pocket, consisting of dimes and quarters. If there are 17 coins in all, how many of each does she have?.

Nikitich [7]

Answer:

Lily has 7 Quarters and 10 Dimes

Step-by-step explanation:

Let's use pennies instead of $.

Let D and Q stand for the numbers of Dimes and Quarters, respectively.

We are told that there are 17 coins total:

D + Q = 17

We also learn that they amount to 275 (pennies). We can write that as:

10D + 25Q = 275 [Each D is worth 10 pennies, etc.]

We have two equations and two unknowns. We can rearrange one equation to find the value of either of the unknowns, and then use that it the second equation.

I'll rearrange the first:

D + Q = 17

D = 17 - Q

Now use this value of D in the second equation:

10D + 25Q = 275

10(17-Q) + 25Q = 275

170 - 10Q + 25 Q = 275

15Q = 105

Q = 7 : 7 Quarters.

Since D + Q = 17:

D + 7 = 17

D = 10 Dimes

==========================================

Let's check these results:

Q = 7 Quarters

D = 10 Dimes

1. Is this 17 coins in total? (7+10 = 17) YES

2. Does this add to $2.75? (10*10) + (7*25) = 275 cents?

(100 + 176) = 275 (cents) YES

============================

Lily has 7 Quarters and 10 Dimes

8 0

3 years ago

Please help if your kind enough, this is due today I’ll mark u as brainliest & rate u 5 stars

timofeeve [1]

Given:

Two parallel lines are cut by a transversal and form a pair of alternate interior angles.

One angle measures (6x + 5)° and the other measure (7x - 4)°

We need to determine the measure of each angle.

Value of x:

Since, the two angles are alternate interior angles, then the two angles are congruent.

Thus, we have;

$6x+5=7x-4$

$-x+5=-4$

$-x=-9$

$x=9$

Thus, the value of x is 9.

Measure of each angle:

The measure of each angle can be determined by substituting $x=9$ in the measures of each angle.

Thus, we have;

$(6x + 5)^{\circ}=(6(9) + 5)^{\circ}=59^{\circ}$

$(7x - 4)^{\circ}=(7(9) - 4)^{\circ}=59^{\circ}$

Thus, the measure of each angle is 59°

3 0

3 years ago

4 1⁄10 ÷ 1 1⁄2 plsss answerr now ..thankyou

Ronch [10]

Answer:

2 11/15

Step-by-step explanation:

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3 years ago

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