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agasfer [191]
3 years ago
15

Marcus has created a budget for his upcoming trip to the theme park. Admission is 40% of the budget. He plans to spend 32% of hi

s money on food, 23% on souvenirs, and save 5% for emergencies. He knows the admission will be $6 less than he will spend on food and souvenirs. How much money will Marcus need to take to the park?
Mathematics
1 answer:
Sergio [31]3 years ago
5 0
32 Marcus has created a budget for his upcoming trip to the theme park. Admission is 40% of the budget. He plans to spend 32% of his money on food, 23% on
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mary ann spent $26.85 total on two new toys. She had a coupon for 1.00 off her total purchase and spend 1.75 on sales tax. Each
GalinKa [24]

Answer: $13.80

Step-by-step explanation:

Mary ann spent $26.85 total on two new toys but had a coupon for $1.00 off her total purchase. Therefore, we subtract $1.00 from $26.85. This will be:

= $26.85 - $1.00

= $25.85

Shw then spend $1.75 on sales tax. Total coat will now be:

= $25.85 + $1.75

= $27.60

Since each toy coat same amount, therefore each toy will cost:

= $27.60 / 2

= $13.80

3 0
2 years ago
If DE = 37 cm and EF = 16 cm, then what are the possible lengths for DF so that DE,EF, and DF can form a triangle? Explain your
chubhunter [2.5K]

Answer:

The length of DF must be between 21 and 53.

Step-by-step explanation:

In a triangle, the length of two sides added together must exceed the length of the 3rd side. So, since EF is the shortest of the two givens, we know that EF + DF must be greater than DE. So we can plug in these numbers to find the minimum.

EF + DF > DE

16 + DF > 37

DF > 21

Now, for the upper maximum, we know that the two given lengths must be greater than the length of DF. So again, we can solve for the maximum using the amounts.

DE + EF > DF

37 + 16 > DF

53 > DF

With these two in mind, we know that DF must be between 21 and 53

4 0
3 years ago
A DEF has vertices D(-5,-1), E (3, 3), and F (1,-5). Find the equation of the altitude through F in
Tems11 [23]

Answer:

y = -2x -3

Step-by-step explanation:

- the altitude trough F is a perpendicular line to the line DE

- find slope of line DE

D ( x2 = -5, y2 = -1); E (x1 = 3, y1 = 3)

slope m = (y2-y1) / (x2-x1) = (-1-3) / (-5-3) = -4/ -8 = 1/2

-find equation of the altitude trough F

lines that are perpendicular have the slope negative reciprocal (negative reciprocal of 1/2 is -2)

y= -2x +b , for point F(1, -5)

-5 = -2*1 +b, add 2 to both sides

-5 +2 = b, combine like terms

-3 =b

equation of the altitude trough F is y = -2x -3

4 0
2 years ago
In how many ways can you arrange the numbers 1, 3, 5, and 7 to make a four-digit number that uses each number exactly once?
Temka [501]
There are 24 possible arrangements
7 0
2 years ago
Marking as brainliest
n200080 [17]

Answer:18

Step-by-step explanation:

18

8 0
3 years ago
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