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TiliK225 [7]
3 years ago
15

Which situation can not be represented by the equation x 10 45?

Mathematics
2 answers:
ella [17]3 years ago
7 0

For this case we have the following expression:

x + 10 = 45

The last option tells us the following:

<em>There are 45 students in a group. There are also 10 adults in the group. What is x, the total number of students and adults in the group?</em>

So, the variable x can not represent adults and students because they tell us that 45 are clearly students. The equation is not fulfilled with this last option.

Answer:

Option D

fenix001 [56]3 years ago
5 0

Answer:

D

Step-by-step explanation:

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James has $5.00 more than three times what Catherine has. Together they have $41.00. How much does each student have?
Tpy6a [65]
Hey.

acc'g to the conditions :

Let Catherine has x
and James has 5 + 3x

Then,

5 + 4x = 41 \\ \\ \implies 4x +5 -5 = 41-5 \\ \\ \implies 4x = 36 \\ \\ \implies x= \dfrac{36}{4} \\ \\ \implies x = 9

Hence

• Catherine has = x = $9,
• and James has = 5 +3x = 5 + 3(9) = $32

Thanks.
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3 years ago
The Colonel spots a campfire at a bearing N 59∘59∘ E from his current position. Sarge, who is positioned 242 feet due east of th
Rashid [163]

Answer:

i. Colonel is about 201 feet away from the fire.

ii. Sarge is about 125 feet away from the fire.

Step-by-step explanation:

Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.

The total angle at the campfire from both the Colonel and Sarge = 59^{0} + 34^{0}

                                           = 93^{0}

Thus,

<CAB = 90^{0} - 59^{0} = 31^{0}

<CBA = 90^{0} - 34^{0} = 56^{0}

Sine rule states;

\frac{a}{Sin A} = \frac{b}{Sin B} = \frac{c}{Sin C}

i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;

\frac{b}{Sin B} = \frac{c}{Sin C}

\frac{b}{Sin 56^{0} } = \frac{242}{Sin 93^{0} }

\frac{b}{0.8290} = \frac{242}{0.9986}

cross multiply,

b = \frac{0.8290*242}{0.9986}

  = 200.8993

Colonel is about 201 feet away from the fire.

ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;

\frac{a}{Sin A} = \frac{c}{Sin C}

\frac{a}{Sin 31^{0} } = \frac{242}{Sin 93^{0} }

\frac{a}{0.5150} = \frac{242}{0.9986}

cross multiply,

a = \frac{0.5150*242}{0.9986}

  = 124.8073

Sarge is about 125 feet away from the fire.

8 0
3 years ago
A cyclist travels 7.7 km in 30 minutes. <br> What is his average speed in km/h?
evablogger [386]
60 min = 1 hour
30 times 2 = 60
7.7 times 2 = 15.4

the avg speed is 15.4 km an hour

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Samir bought 6 equally priced pencils for $2.10.<br> How much will 10 of these pencils cost?
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Answer:

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Step-by-step explanation:

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