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3 years ago

The sum of two consecutive negative integers is -171. What is the number closest to zero?

1 answer:

6 0

Consecutive numbers are always 1 away from each other
3,4

so consecutive is represented by
x and x+1
so sum is -171
x+x+1=-171
add like terms
2x+1=-171
subtract 1 from both sides
2x=-172
divide both sides by 2
x=-86
subustitute
x+1=otehr number
x+1=-86+1=-85
answer is -85 and -86

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Ella used 3 4 of a bag of lemons to make 1 2 liters of lemonade. If Ella's recipe is for 1 liter of lemonade, how many lemons wi

Sergeeva-Olga [200]

Answer:

Ella will need 6 lemons for 4 times the recipe

Explanation:

Given Ella used ¾ of a bag of lemon to make ½ liters of lemonade

Therefore, we can form an equation as:

¾ bag lemons = ½ liter lemonade

According to question,

Ella recipe is for 1 liter of lemonade

Lemons required for ½ liter lemonade = $\frac{3}{4}$ bag

Lemons required for 1 liter lemonade = $\frac{3}{4}\times 2$ = 3/2 bags

To make 4 times the recipe, she will require,

$\frac{3}{2} \times 4 = 3 \times 2 = 6$

She will need 6 lemons for 4 times the recipe

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3 years ago

Read 2 more answers

Solve for A if Ab = ut Solve for c if Kc = 9 a Solve for D if Bd = Ca

pychu [463]

Answer:

Below in bold.

Step-by-step explanation:

Ab = ut

Divide both sides by b

A = ut/b.

The other 2 are solved in a similar way:

Kc = 9a

c = 9a/K

Bd = Ca

d = Ca/B.

7 0

3 years ago

Simplify the expression b - 7 + b - 8

natulia [17]

Answer:

2b - 15

Step-by-step explanation:

b - 7 + b - 8

You combined the two b's correctly, but didn't combine the two constants, -7 and -8.

Those combine to -7 + (-8) = -7 - 8 = -15, so the final answer is

2b - 15

you have -7 and are subtracting 8 more, so you are moving 8 units left on the number line, so it has to get more negative.

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3 years ago

A triangle has sides 12, 35, and 37. Identify whether the triangle is right, acute, or obtuse.

s2008m [1.1K]

Answer:

Right triangle

Step-by-step explanation:

Using pythagorean theorem,

$c^2 = a^2 + b^2\\37^2 = 12^2 + 35^2 \\1369 = 144 + 1225\\1369 = 1369$

Hence satisfied. So it is right triangle.

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3 years ago

Given: △ABC is equilateral, △ADC is isosceles,

KonstantinChe [14]

Answer:

Step-by-step explanation:

Since ABC is an equilateral triangle, thus AB=BC=AC=x, therefore

The perimeter of ΔABC=36

⇒AB+BC+AC=36

⇒x+x+x=36

⇒3x=36

⇒x=12

Thus, AB=BC=AC=12.

Now, Since ΔADC is isosceles triangle, therefore AD=DC=y.

Perimeter of ΔADC=40

⇒AD+DC+CA=40

⇒x+y+y=40

⇒12+2y=40

⇒2y=28

⇒y=14

Therefore, AD=DC=14

Thus, Length of sides of ΔABC are AB=BC=AC=12 and Length of sides of ΔADC are AD=DC=14.

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3 years ago