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gregori [183]
3 years ago
6

Daniel has dinner at a restaurant and the cost of his meal is

Mathematics
1 answer:
Burka [1]3 years ago
5 0
Answer is a step by step so you divide
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What are the four answers?
Neko [114]

Answer:

CLAE

Step-by-step explanation:

1=43

2=28

3=24

4=83

8 0
2 years ago
Given collinear points E, F and G such that point F is the midpoint of segment EG. Find the new length of EG given that EF =5x+9
Veseljchak [2.6K]

Answer:

The length of EG is 58 units

Step-by-step explanation:

The midpoint of a segment divides it into two equal part

Let us use this rule to solve our question

∵ E, F, and G are collinear points

∵ Point F is the midpoint of segment EG

→ That means F divides EG into 2 equal segments EF and FG

∴ EF = FG

∵ EF = 5x + 9

∵ FG = 3x + 17

→ Equate them

∴ 5x + 9 = 3x + 17

→ Subtract 3x from both sides

∵ 5x - 3x + 9 = 3x - 3x + 17

∴ 2x + 9 = 17

→ Subtract 9 from both sides

∴ 2x + 9 - 9 = 17 - 9

∴ 2x = 8

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{8}{2}

∴ x = 4

→ Substitute x by 4 in EF and FG to find their lengths

∵ EF = 5(4) + 9 = 20 + 9 = 29

∵ FG = 3(4) + 17 = 12 = 17 = 29

∵ EG = EF + FG

∴ EG = 29 + 29 = 58

∴ The length of EG is 58 units

6 0
3 years ago
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
Read 2 more answers
On average a herd of elephants travels 10 miles in 12 hours<br>(picture included)
Tema [17]
For the first Q the answer is the first square on the left 10 miles divided by 12 hours = 0,83 miles

And the second Q goes with the last square 12 hours divided by 10 miles = 1.2 h which in minutes is 72 minutes or 1h and 12 minutes.
4 0
3 years ago
Read 2 more answers
Which triangle shows the incenter at point A? <br><br>The Images are placed in order A- D
vaieri [72.5K]

Answer:

B

Step-by-step explanation:

the incenter is found by constructing angle bisectors and then intersecting the three angle bisectors.

3 0
3 years ago
Read 2 more answers
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