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Snezhnost [94]
3 years ago
14

Order the following fractions and decimals from least to greatest 2 3/4, 1.51, 0.6, 2 7/8

Mathematics
1 answer:
ella [17]3 years ago
7 0
0.6, 1.51, 2 3/4, 2 7/8
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Classify each pair of angels listed below as adjacent or vertical.
Stolb23 [73]

Answer:

ntersecting lines DA and CE.

To find:

Each pair of adjacent angles and vertical angles.

Solution:

Adjacent angles are in the same straight line.

Pair of adjacent angles:

(1) ∠EBD and ∠DBC

(2) ∠DBC and ∠CBA

(3) ∠CBA and ∠ABE

(4) ∠ABE and ∠EBD

Vertical angles are opposite angles in the same vertex.

Pair of vertical angles:

(1) ∠EBD and ∠CBA

(2) ∠DBC and ∠EBA

5 0
3 years ago
A baseball team is hosting a dance as a fundraiser. the cost of 1 individual ticket is $7. the cost of 1 group ticket is $16. th
QveST [7]
<h2>Word Problem</h2>

To form equations from word problems, we can do the following:

  1. Identify variables
  2. Find key information
  3. Identify word equations and translate into numerical equations
  4. Solve

<h2>Solving the Question</h2>

We're given:

  • Let <em>x</em> be the number of individual tickets that were sold
  • Let <em>y</em> be the number of group tickets sold
  • Cost of 1x = 7 dollars
  • Cost of 1y = 16 dollars
  • Baseball team: 36 more x than y
    ⇒ x = 36 + y
  • Fundraiser raised 574 dollars in total
    ⇒ 7x + 16y = 574 dollars

Question: How many individual tickets were sold? (What is the value of <em>x</em>?)

Here are all the equations we have created:

  • x = 36 + y
  • 7x + 16y = 574

We can solve for the value of <em>x</em> using systems of equations.

First, isolate <em>y</em> in the first equation:

x = 36 + y\\y=x-36

Now, plug this into the second equation:

7x + 16y = 574\\7x + 16(x-36)= 574\\7x+ 16x-586= 574\\23x=1150\\\\x=\dfrac{1150}{23}\\\\x=50

Therefore, <em>x</em> is equal to 50.

<h2>Answer</h2>

50 individual tickets were sold.

7 0
3 years ago
A submarine was in a resting position 400 m below sea level. It rose 225 m. Determine its new depth?
Arturiano [62]

Answer:

175 meters, since its below sea level it would be- -400m - (-225m), subtracting with negative # and negative # is the equivalent of getting closer to zero, just figure out 400 - 225, and put a - symbol at the beginning of the number

4 0
3 years ago
Dave is helping his grandmother make trail mix. His grandmother ask
Flura [38]

9514 1404 393

Answer:

  3/5 cup of fruit

Step-by-step explanation:

Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:

  3/5 cup of fruit for 1 cup of nuts

7 0
3 years ago
What is the measure of angle x and y in the diagram?<br> x<br> 30°<br> YN<br> 52°
nikitadnepr [17]

Answer:

x = 30° and y = 52°

Step-by-step explanation:

angles on the circle subtended by the same arc are congruent

x and 30° are on the same arc, then x = 30°

y and 52° are on the same arc, then y = 52°

4 0
2 years ago
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