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Lemur [1.5K]
4 years ago
11

How do you solve the problem -x-29=13+2x

Mathematics
1 answer:
serious [3.7K]4 years ago
7 0
-x-29=13+2x
-29=13+3x
-42=3x
x=-14
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Find the HCF and LCM of 160 and 252 by prime factorisation method and verify that HCF x LCM = Product of the two given numbers.
MariettaO [177]

Answer:

HCF=4

LCM=10080

HCF x LCM = Product of the two given numbers is verified because 403200=40320

Step-by-step explanation:

HCF of 160 and 252

HCF is the product of common prime factors

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

HCF= 2x2

HCF=4

40 and 63 doesn't come in any other table together so,

HCF= 2 x 2 = 4

Now, finding LCM of 160 and 252

LCM is the product of all factors of both numbers, while if any factor is common, it is considered once.

Prime Factorisation of 160: 2x2x2x2x2x5

Prime Factorisation of 252: 2x23x3x7

In the given factors 2x2 is common so, it is considered once.

LCM= 2x2x2x2x2x3x5x7

LCM= 10080

Now, checking:

HCF x LCM = Product of the two given numbers.

4x10080=160x252

403200=40320

So, It is verified that HCF x LCM = Product of the two given numbers.

7 0
3 years ago
Which of the following compositions will map the red figure onto the blue figure?
PIT_PIT [208]
Point A is translated to A" by T(0, -6), since A has been shifted 6 units down

check the picture, the translated triangle is A"'B"'C"'.

clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.

from the choices given, we see that is is a 270° counterclockwise  rotation.


Answer: <span>A.(o,-6). Ra,270</span>


3 0
4 years ago
Read 2 more answers
What is 6 ÷ 5 &amp; 4/5
ivann1987 [24]
It would be 1 and 1/29
4 0
4 years ago
Find the width of the rectangular prism when the surface area is 208 centimeters
BlackZzzverrR [31]

Use the surface area formula of a rectangular prism to find the width. (I have changed it to use the same terms given in the problem).


A

=

2

(

d

w

+

h

w

+

h

d

)


Because of the given information, it is known that:


A

=

208


h

=

8


d

=

6


The width is not know, so let it keep it's variable

w

. But substitute the other values into the equation:


A

=

2

(

d

w

+

h

w

+

h

d

)


208

=

2

[

6

w

+

8

w

+

(

8

)

(

6

)

]


208

=

2

(

14

w

+

48

)


Use the distributive property to solve the right side of the equal sign:


208

=

2

(

14

w

+

48

)


208

=

28

w

+

96


112

=

28

w


112

28

=

w


4

=

w


The width is

4

.

5 0
4 years ago
Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. Kevin spins th
timofeeve [1]
From the problem, the way the spinner is set up could be 

red red blue blue green green yellow yellow purple purple

with two sections of each color and 10 total equal sections.

From this we know that 4 out of the 10 sections are red or green.
That means that there is a 4/10 chance of getting a green or a red every time Kevin spins. 

Multiply 180 by 4/10 and you get 72.

The spinner will land on red or green about 72 times.

Hope this helps!


5 0
4 years ago
Read 2 more answers
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