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Pachacha [2.7K]
3 years ago
5

Write two equivalent rates for 3 breads made in 45 minutes.

Mathematics
1 answer:
Alex777 [14]3 years ago
7 0

Answer:

1/15 ; 6/90

Step-by-step explanation:

\frac{3}{45}=\frac{1}{15} \\\\\frac{3}{45}=\frac{3*2}{45*2}=\frac{6}{90}

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An angle bisector always creates two acute angles. find a counterexample to show that the conjecture is false.
sweet-ann [11.9K]
An acute angle is an angle that is less than 90°. An angle bisector is a ray drawn along an angle that bisects it into two equal and adjacent parts. Now, if the total angle is, say 270°, which is more than a half circle, it would result to two 135-degree angles. In this case, the angle is no longer acute, but obtuse.
5 0
3 years ago
Your friend George is 6 feet tall and his shadow is 10 feet long. At the same time, the shadow of the flagpole was 85 feet long.
Leokris [45]

Answer:

51 feet

Step-by-step explanation:

Let

x -----> the height of a flagpole

we know that

Using proportion

\frac{6}{10}=\frac{x}{85} \\\\x=6*85/10\\\\x=51\ ft

8 0
3 years ago
The booster club needs to raise at least $6,000 for new football uniforms. So far, they have raised $1,200.
lana66690 [7]

Answer:

• Let x be the number of members

• In inequalities, at least means greater or equal ( ≥ )

{ \underline{ \mathfrak{ \: answer : }}}

{ \boxed{ \boxed{ \rm{x + 1200 \geqslant 6000}}}}

• To get the average, substitute for x as 99 and amount collected by each member

3 0
3 years ago
Zack drew a scale drawing of a house and its lot. The backyard is 15 inches wide in the drawing. The actual yard is 24 feet wide
lana66690 [7]

Answer:

  • 5 ÷ 96

Step-by-step explanation:

<u>The scale is </u>

  • 15 in ÷ 24 feet =
  • 15 in ÷ 24*12 in =
  • 15 in ÷ 288 in =
  • 5 in ÷ 96 in =
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6 0
3 years ago
Find the values of A &amp; B so that x^4+x^3+ax+b is divisible by x^2+1
DaniilM [7]

Answer:

a = 1 b = -1.

Step-by-step explanation:

Suppose the quotient when you divide x^4+x^3+ax+b  by x^2 + 1 is

x^2 + ax + b then expanding we have:

(x^2 + 1)(x^2 + ax + b)

= x^4 + ax^3 + bx^2 + x^2 + ax + b

= x^4 + ax^3 + (b + 1)x^2 + ax + b Comparing this with the original expression:

  x^4 +  x^3  + 0 x^2       + ax + b  Comparing coefficients:

a = 1 and b+ 1 = 0 so b = -1.

6 0
3 years ago
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