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3 years ago

5

The stem-and-leaf plot. represents the number of flowers in different public gardens throughout the city. How many gardens have

at least 18 flowers, but fewer than 30 flowers.
Enter your answer in the box

1 5667788
2 1459
3 0056

1 answer:

zlopas [31]3 years ago

4 0

There are 6 numbers that are greater than or equal to 18 and less than 30.

6 gardens have 18-29 flowers.

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The binomial 5x – 4 is a factor of 10x2 – 23x + 12. What is the other factor?

SVETLANKA909090 [29]

$Method\ 1^o\\10x^2-23x+12=(5x-4)(ax+b)\\\\10x^2-23x+12=5ax^2+5bx-4ax-4b\\\\10x^2-23x+12=5ax^2+(5b-4a)x-4b\\\\therefore\\\\ \begin{array}{ccc}(1)\\(2)\\(3)\end{array}\left\{\begin{array}{ccc}5a=10\\5b-4a=-23\\-4b=12\end{array}\right\\\\(1)\ divide\ both\ sides\ by\ 5\to a=2\\(3)\ divide\ both\ sides\ by\ (-4)\to b=-3\\check\\subtitute\ the\ values\ of\ "a"\ and\ "b"\ to\ (2):\\5\cdot(-3)-4\cdot2=-15-8=-23\ /correct/\\\\Answer:\boxed{2x-3}$

$Method\ 2^o\\10x^2-23x+12=10x^2-8x-15x+12\\=2x\cdot5x-2x\cdot4-3\cdot5x-3\cdot(-4)\\=2x(5x-4)-3(5x-4)=(5x-4)\boxed{(2x-3)}$

6 0

2 years ago

Simplify the following ratios:

jenyasd209 [6]

A) 3:4
b) 2:7
c) 3.5
d) 2:3

6 0

2 years ago

Ella calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it?

torisob [31]

I think that it is a

3 0

3 years ago

Jay sells 10 packs of apples for 80p. He wants to make £75 at the end of the year. How many packs of apples does he need to sell

ipn [44]

Answer:

937.5 packs of apples

Step-by-step explanation:

Note that:

100p = £1

80p = x

Cross Multiply

100x = 80p × £1

x = 80/100

x = £0.8

Jay sells 10 packs of apples for 80p.

Hence:

£0.8 = 10 packs of apples

£75 = x

Cross Multiply

£0.8 × x = £75 × 10 Packs

x = £75 × 10 Packs/£0.8

x = 937.5

Therefore, to make £75 at the end of the year, he has to sell 937.5 packs of apples

3 0

2 years ago

The distance between earth and moon is 384000000 m. this distance can be expressed as ____m

zalisa [80]

This distance can be expressed as 3.84× $10^{8}$ m.

What is distance with example?

Distance is a scalar quantity.
The distance of an object can be defined as the complete path travelled by an object.

Given the distance between the earth and the moon is 384000km

Representing in exponential notation,

=384000×1000m [∵1km=1000m]

=384× $10^{6}$ m

=3.84× $10^{8}$ m

Learn more about distance

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<u>The correct question is -</u>

The distance between the Earth and the moon is approximately 384000 km. this distance can be expressed as ____m.

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2 years ago