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notka56 [123]
3 years ago
12

Solve the equation. 44 – 1 + 7q = 106

Mathematics
1 answer:
PolarNik [594]3 years ago
3 0

Let's solve your equation step-by-step.<span><span><span> 44−1</span>+<span>7q</span></span>=106</span>

Step 1: Simplify both sides of the equation.<span><span><span> 44−1</span>+<span>7q</span></span>=106</span><span>
</span><span>Simplify: (Show steps) </span><span><span><span><span>44+</span>−1</span>+<span>7q</span></span>=106</span><span><span><span>(<span>7q</span>)</span>+<span>(<span>44+<span>−1</span></span>)</span></span>=106 </span>(Combine Like Terms)<span><span><span>7q</span>+43</span>=106</span><span><span><span>7q</span>+43</span>=106</span>

Step 2: Subtract 43 from both sides.<span><span><span><span>7q</span>+43</span>−43</span>=<span>106−43</span></span><span><span>7q</span>=63</span>

Step 3: Divide both sides by 7.<span><span><span>‌<span><span>7q</span>7</span></span>‌</span>=<span><span>‌<span>637</span></span>‌</span></span>

<span><span>
</span></span>

<span><span /></span><span>q=<span>9</span></span>

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4 0
3 years ago
What number is 60% of 600
TEA [102]
Answer=360
60%=.6
600*.6=360
_______________________________________________
another way to solve the question

  60        x
____=_____
100     600

cross multiply
100x=36000
divide both sides by 100
x=360
5 0
3 years ago
Read 2 more answers
A person invested 3,900 in an account growing at a rate allowing the money to double every 7 years. How much money would be in t
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Step-by-step explanation:

8 0
3 years ago
Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l
creativ13 [48]

Using a system of equations, it is found that the unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

For the system:

  • x is the unit price of a bag of chips.
  • y is the unit price of liter of pop.
  • z is the unit price for a chocolate bar.

From the table, the equations are:

2x + 2y + z = 9.25

3x + 4y + z = 14.50

x + 3y + 3z = 12

Replacing the <u>first equation on the second and the third:</u>

z = 9.25 - 2x - 2y

3x + 4y + z = 14.50

3x + 4y + 9.25 - 2x - 2y = 14.50

x + 2y = 5.25

x = 5.25 - 2y

x + 3y + 3z = 12

x + 3y + 3(9.25 - 2x - 2y) = 12

-5x - 3y = -15.75

5x + 3y = 15.75

Since x = 5.25 - 2y:

5(5.25 - 2y) + 3y = 15.75

-7y = -10.5

y = \frac{10.5}{7}

y = 1.5

Then:

x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25

z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75

The unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0
3 years ago
It took emily 25 min to rideHer bicycle to the repair shop in one hour and 15 minutes to walk back home. If Emily her bicycle to
s2008m [1.1K]

Answer:the repair shop is 5km from her house.

Step-by-step explanation:

Let x represent the distance of the repair shop from her house.

Let y represent Emily's speed when riding.

Distance = speed × time

It took Emily 25 min to ride her bike to the repair shop. Converting 25 min to hours, it becomes 25/60 = 5/12 hours.

Distance covered,

x = y × 5/12 = 5y/12

It took her 1h 15 min to walk back home. Converting to hours, it becomes 1 + 15/60 = 1 1/4 = 5/4

If she can ride her bike 8km/h faster than she can walk, it means that her speed while walking would be y 8 8

Therefore,

Distance covered,

x= 5/4(y - 8) = (5y - 40)/4

Since the distance remains the same, then

5y/12 =(5y - 40)/4

Crossmultiplying, it becomes

5y × 4 = 12(5y - 40)

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60y - 20y = 480

40y = 480

y = 480/40 = 12

x = 5y/12 = 5 × 12/12 = 5 km

6 0
3 years ago
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