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2 years ago

What would be the total cost?

Mathematics

2 answers:

vazorg [7]2 years ago

5 0

$20.12 will be the answer

Advocard [28]2 years ago

4 0

Your answer is $20.12

$4.47 * 4.50 = $20.12

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One angle of a right triangle measures 10°. What is the measure of the other acute angle?

Andrei [34K]

Answer:

80 degrees

Step-by-step explanation:

Do 90 plus 10.

The do 180 minus 100

because a triangle adds up to 180

5 0

2 years ago

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Andrea is shopping for items for her pet sitting business because the store is having a sale where everything in the store

frutty [35]

Answer:

the answer is the first one

Step-by-step explanation:

39.99 rounded up is 40.00

19.99 rounded up is 20.00

40.00*0.05 = 2, 40-2 = 38

20.00*0.15 = 3, 20-3 = 17*.05 = 0.85, 17-0.85 = 16.15

38+16.15 = 54.15

5 0

2 years ago

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If y-3x=9, 7x+y=25, what is the value of x and y?

lianna [129]

$\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?$

$\bold{\rm{Solution}} \text{: We'll solve this by substitution method}$

$\dashrightarrow y - 3x = 9 \\ \\ \dashrightarrow \boxed{y = 9 + 3x } \qquad .. \sf eq(1)$

$\text{we got the value of y now getting the value of x}$

$\looparrowright 7x + y = 25 \\ \\ \looparrowright 7x = 25 - y \\ \\ \looparrowright \boxed{x = \frac{25 - y}{7}} \qquad .. \sf eq(2)$

$\text{Now, putting y = 9 + 3x in eq(2)}$

$\hookrightarrow x = \frac{25 - y}{7} \\ \\ \hookrightarrow x = \frac{25 - 9 + 3x}{7} \\ \\ \hookrightarrow 7x = 25 - 9 + 3x \\ \\ \hookrightarrow 7x - 3x = 16 \\ \\ \hookrightarrow 4x = 16 \\ \\ \hookrightarrow x = \frac{16}{4} \\ \\ \star \quad \boxed{ \green{ \frak{ x = 4}}}$

$\text{Now we know the value of x, for getting y we need to put x in eq(1)}$

$: \implies y = 9 + 3x \\ \\ : \implies y = 9 + 3(4) \\ \\ : \implies y = 9 + 12 \\ \\ \star \quad \boxed{\frak{ \green{y = 21}}}$

$\text{Hence, values of x and y are} \: \frak{ \green{4}} \: \text{and} \: \frak{ \green{21}} \: \text{respectively}.$

4 0

1 year ago

How many different ways are there to choose a subset of the set {1,2,3,4,5,6} so that the product of the members of the subset i

zvonat [6]

You have to pick at least one even factor from the set to make an even product.

There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.

For example, if we pick out 1 even number and 2 odd numbers, this can be done in

$\dbinom 31 \dbinom 32 = 3\cdot3 = 9$

ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in

$\dbinom 33 \dbinom 30 = 1\cdot1 = 1$

way.

The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.

$\displaystyle \sum_{e=1}^3 \binom 3e \sum_{o=0}^3 \binom 3o = 2^3 \sum_{e=1}^3 \binom3e = 8 \left(\sum_{e=0}^3 \binom3e - \binom30\right) = 8(2^3 - 1) = \boxed{56}$

where we use the binomial identity

$\displaystyle \sum_{k=0}^n \binom nk = \sum_{k=0}^n \binom nk 1^{n-k} 1^k = (1+1)^n = 2^n$

3 0

8 months ago

How do I solve this??

tresset_1 [31]

Answer:

x = 7.5

Step-by-step explanation:

Since DF bisects ∠CDE then

∠EDF = ∠CDF, hence

8x = 4x + 30 ( subtract 4x from both sides )

4x = 30 ( divide both sides by 4 )

x = 7.5

4 0

2 years ago