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2 years ago

Leon bought a dozen daisies for $3.75. To the nearest hundredth, approximately how much did Leon pay for each daisy?

Mathematics

1 answer:

romanna [79]2 years ago

4 0

Answer: $0.31

Step-by-step explanation:

A dozen = 12

Cost of 12 daises = 3.75

Cost of one daisy = 3.75/12 = 0.3125

0.3125 to the nearest hundredth = 0.31

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What property is 4x + 8 = 28

Verdich [7]

Answer:

x=5

Step-by-step explanation:

4x + 8 = 28,

it's rather straight forward,

you would subtract 8 from the left side,

doing the same on the right.

now you have

4x = 20

x= 20/4

x=5

hope this helps.

4 0

2 years ago

Let u = (1, k) and v = (2, 1). Find k such that The distance between u and v is 1 u and v are orthogonal The angle between u and

SVETLANKA909090 [29]

Answer:k=1,k=-2,k= $8\pm 5\sqrt{3}$

Step-by-step explanation:

Given two vectors

$u=1\hat{i}+k\hat{j}$

$v=2\hat{i}+1\hat{j}$

$\left ( i\right )$ Distance between them is given by

$|u-v|=\sqrt{\left ( 2-1\right )^2+\left ( 1-k\right )^2}=1$

squaring both side

$1^{2}+\left ( 1-k\right )^2=1$

$k^2-2k+1=0$

$\left ( k-1\right )^2=0$

k=1

$\left ( ii\right )$

angle between u and v is 90 i.e. orthogonal

$u\dot v=0$

$\left ( 1\hat{i}+k\hat{j}\right )\dot \left ( 2\hat{i}+1\hat{j}\right )$ =0

2+k=0

k=-2

$\left ( iii\right )$

angle between u & v is $\frac{\pi }{3}$

$u\dot v=|u||v|cos\left (\frac{\pi }{3}\right )$

$|u|=\sqrt{1^2+k^2}$

$|v|=\sqrt{2^2+1^2}$

$2+k=\left ( \sqrt{1+k^2}\right )\left ( \sqrt{5}\right )cos\left ( \frac{\pi }{3}\right )$

$\left ( 4+2\right )^2=\left ( 1+k^2\right )5$

$k^2-16k-11$ =0

k= $8\pm 5\sqrt{3}$

7 0

2 years ago

A koala bear eats at a steady rate 15 leaves in 2 hours. In how many minutes does the koala eat 10 leaves?

ZanzabumX [31]

Answer:

80 minutes

Step-by-step explanation:

1 hour=60 minutes

2 hours=120 minutes

-------------------------------

15/120=10/x

cross product

120*10=15*x

1200=15x

x=1200/15

x=80

8 0

2 years ago

Which statement describe the function of f(x)=3(1/3)x check all that apply

lakkis [162]

The range of the function is all real numbers greater than 0.

As the domain values increase, the range values decrease.

Each successive output is the previous output divided by 3.

8 0

2 years ago

Read 2 more answers

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

igor_vitrenko [27]

Answer: x= 34

Step-by-step explanation:

Given: The measurement of the angles of the quadrilateral are as

First angle=88°

Second angle=108°

Third angle= 2x°

Forth angle =(3x-6)°

Now, The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

Therefore,

$88+108+2x+(3x-6)=360\\\Rightarrow196+5x-6=360\\\Rightarrow\ 5x=360-190\\\Rightarrow\ x=\frac{170}{5}\\\Rightarrow\ x=34$

6 0

2 years ago