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2 years ago

160% of what number is 144

Mathematics

1 answer:

givi [52]2 years ago

6 0

Step-by-step explanation:

Let the number be x

160% of x=144

$160x \div 100 = 144$

then we cross multiply

$160x = 100 \times 144$

$160x = 14400$

divide both sides by 160

$160x \div 160 = 14400 \div 160$

$x = 90$

therefore the number is 90

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Use synthetic division to determine if x+2 is a factor of f(x)=5x2+13x+6

Karolina [17]

Answer:

x+2 is a factor of $f(x) = 5x^2 + 13x + 6$

Step-by-step explanation:

To check: If (x+2) is a a factor of the polynomial $f(x) = 5x^2 + 13x + 6$

We need to check if x = -2 is the FACTOR of the given polynomial.

⇒ To show: f (-2) = 0

Now

$f(-2) = 5(-2)^2 + 13(-2) + 6\\=5(4) -26 + 6\\= 20 + 6 - 26\\= 26 - 26 = 0\\\implies f(-2) = 0$

Since, f(-2) = 0

⇒ -2 is the ROOT of the Polynomial f(x).

⇒(x +2) is the factor of the given polynomial.

Hence, x+2 is a factor of $f(x) = 5x^2 + 13x + 6$

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4 years ago

Function 1 is defined by the equation p=r + 7.

MariettaO [177]

Answer:

Function 2

Step-by-step explanation:

Function 1 has a slope of 1.

Function 2 has a slope of 1.1.

1.1 > 1, so Function 2 has a greater slope.

4 0

3 years ago

Read 2 more answers

X+5 divided by 3 is less than or equal to 2

hichkok12 [17]

$\frac{x+5}{3} \leq 2$
times both sides by 3
x+5≤6
minus 5 both sides
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3 years ago

Helwp please thank uuu!

Minchanka [31]

Step-by-step explanation:

<h3>Given,</h3>

GRAM is a parallelogram
m<GMA = 66°
m<GRP = 32°
m<PAM = 41°

<h3>Solutions:</h3>

i) Since,

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

<RGM + <GMA = 180°

=> <RGM = 180° - <GMA

=> <RGM = 180° - 66°

=> <RGM = 114° (Ans)

ii) Since,

Opposite angles of a diagonal as a transversal (here RM) are equal so,

<GRP = <PMA = 32°

As we have <GMA = 66° so,

=> <GMP = <GMA - <PMA

= 66° - 32°

=> <GMP = 34° (Ans)

iii) Since,

Opposite angles of a parallelogram are equal so,

<RGM = <RAM = 114°

As we have <PAM = 41° so,

=> <GAR = <RAM - <PAM

= 114° - 41°

=> <GAR = 73° (Ans)

iv) Since,

We got <PMA = 32° and <PAM = 41°, so by angle sum property of a triangle PMA,

=> <MPA = 180° - 32° - 41°

=> <MPA = 107° (Ans)

7 0

2 years ago

15 For exercise, Cindy swims every 6 days and jogs every 8 days. She did both today.

Drupady [299]

Answer:

24 days

Step-by-step explanation:

To find the answer we need to find the LCM

first, find the prime factorization of 6 and 8

6=2*3

8=2^3

8*3=24

So she'll swim and jog on the same day in 24 days

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3 years ago