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2 years ago

Andre makes a three-digit number.

Mathematics

1 answer:

s2008m [1.1K]2 years ago

8 0

Answer: 115,151,115,133,313,331

Step-by-step explanation:

The Andre's number can consist from 1+1+5 or 3+3+1. There are no any other sets of 3 odd digit to get 7.

Lets prove this statement.

Lets 1 of the digit is bigger than 5. However the digit is odd so it can be 7 only. However in this case the residual 2 digits are 0 . This is not possible so the gigits are odd however 0 is even.

Lets check the case when the biggest digit in the set is smaller than 3.

So it can be 1 only.

So the residual 2 digits can be 1 only. The sum of 1+1+1<7 .

SO we've prooven that the only sets of the digits are 1;1;5 or 3;3;1

The set 1;1;5 can give 3 numbers:

115,151,115

The set 1;3;3 can give 3 numbers as well:

133,313,331

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Answer:

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Step-by-step explanation:

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2 years ago

Can someone please help me and explain if you can

nadezda [96]

Answer:

∠6=116°

Step-by-step explanation:

Buckle up :)

We are given the values of ∠4 $(-2x+94)$ and ∠8 $(-5x+139)$ .

Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also $-2x+94$ .
∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.
Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:

$-2x+94=-5x+139$

Solve for x. Subtract 94 from both sides:

$-2x+94-94=-5x+139-94\\\\-2x=-5x+45$

Add 5x to both sides:

$-2x+5x=-5x+5x+45\\\\3x=45$

Divide both sides by 3:

$\frac{3x}{3} =\frac{45}{3} \\\\x=15$

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$x=15\\\\-2(15)+94\\\\-30+94\\\\64$

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$a+64=180$

a represents angle 6. Subtract 64 from both sides:

$a+64-64=180-64\\\\a=116$

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3 years ago

Read 2 more answers

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Alex73 [517]

Answer:

Evan's recipe

Step-by-step explanation:

Given that:

Evan's recipe :

5 cups of milk for every 4 teaspoons of chocolate syrup

Carter's recipe:

3 cups of milk for every 2 teaspoons of chocolate syrup.

Recipe with the stronger tasting chocolate milk:

Take the ratio of cups of milk to teaspoons of chocolate syrup:

Evan's :

5 / 4 = 1.25

Carter's :

3 /2 = 1.5

Evan's recipe has the stronger tasting chocolate milk recipe :

5 milk cup = 4 chocolate spoons

Number of chocolate milks for 3 milk cups = x in Evan's recipe

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3 = x

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This is 2.4 spoons compared Carter's recipe which uses 2 spoons for every 3 milk cups

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2 years ago

What is the length of the missing side?

Anna [14]

Answer:

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Step-by-step explanation:

a^2 + b^2 = c^2

24^2 + 10^2 = c^2

676 = c^2

26 = c

a^2 = c^2 - b^2

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a^2 = 123.75

a = 11.12

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2 years ago