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amm1812
3 years ago
7

Penelope mowed 6 lawns in 12 hours. What was her rate of mowing in hours per lawn?

Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

0.5 lawns per hour.

Step-by-step explanation:

6/12 is 0.5

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Look at the figure shown below:
kow [346]

Answer:  b) two sides and the included angle are congruent

<u>Step-by-step explanation:</u>

  RS = QS                 SIDES are congruent

∠PSR ≡ ∠PSQ         ANGLES are congruent

 PS = PS                  SIDES are congruent

ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem

Since we know the triangles are congruent, we can state that their parts are congruent:

Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)

8 0
3 years ago
Find an approximate equation y=ab^x with the coordinates (0, 4) (3, 95)
bogdanovich [222]
We have y=ab^{x}

Plug in (0, 4):
4=ab^{0}⇒4=a
So we now have a

Plug in (3, 95):
95=4b^{3}
⇒b^{3}=\frac{95}{4}
⇒b=\sqrt[3]{\frac{95}{4}}
which is approximately 2.874

So we get
y=4(\sqrt[3]{\frac{95}{4}})^{x}
or, in decimal form,
y=4*2.874^{x}
7 0
3 years ago
Please help, today's due. Maths lesson is postulate.
zhenek [66]
You need to put everything to one side and equal to 120. Then you combine all like terms.
then you subtract 24 with 120. You get 94/24=4

10x+6x+16+8x+8=120
24x+24=120
-24 -24
____________
24x=96
/24 /24
X=4
8 0
3 years ago
If f(x) = 3x + 5 and g(x) = x - 1, then g[f(-3)] = ?
Dominik [7]

Answer:

-3fg

Step-by-step explanation:

I can't tell exactly what you're trying to say but if you're trying to say:

g x (f x (-3)), then here's how you do it:

g x (f x (-3))

Multiplying a positive and a negative equals a negative: (+) x (-) = (-), then use the commutative property to reorder the terms.

g x (-f x 3)

g x (-3f)

Multiplying a positive and a negative equals a negative: (+) x (-) = (-), the use the commutative property to reorder the terms.

-g x 3f

-3fg

8 0
3 years ago
For what values of x does the binomial 2x−1 take on a positive value?
Mashutka [201]
1). 2x-1>0
2x>1
x>½

2) 21-3y<0
-3y<-21
y>7

3) 5-3c>80
-3c>75
c<-25
3 0
3 years ago
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