Find the missing values

Answer: Smaller number = 6

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

Let the larger number be y.

Three times a larger number is 30 more than 5 times a smaller number. This will be:

3 × y = (5 × x) + 30

3y = 5x + 30 ...... i

The sum of the larger number and 5 times the smaller number is 50. This will be:

y + 5x = 50 ...... ii

From equation ii

y + 5x = 50.

y = 50 - 5x ...... iii

Put the value of y = 50 - 5x into equation i

3y = 5x + 30

3(50 - 5x) = 5x + 30

150 - 15x = 5x + 30

150 - 30 = 5x + 15x

120 = 20x

x = 120/20

x = 6

The smaller number is 6

Note that y + 5x = 50

y + 5(6) = 50

y + 30 = 50

y = 50 - 30

y = 20

The bigger number is 20

Answer:

128

Step-by-step explanation:

2^4/2^-3

= 2^7

=128

Answer:

2nd

Step-by-step explanation:

Answer:

the orange one

Step-by-step explanation:

3x^2+x-2

3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.

Answer:

you have 8.5 pounds of fish

Step-by-step explanation:

1/2 =0.5 and 0.5 ×16 =8

and thata will leave one half left which means you will have 8.5 pounds of fish the pizza one  i'm not too sure about you would have to tell how much sauce there is supposed to be per pizza then i would be able to answer.

Hope this helps

Answer:

Well if you deposit something you won't have it so negative. If you earn something then it is positive. So it is negative

Step-by-step explanation:

:)

Answer:

Try looking this up on the internet or something, I will suggest some sites,

Slader, and math -

way

Answer: 3.8 square kilometers.

Step-by-step explanation:

Area of a triangle = (base × height) ÷ 2.

The base of this triangle is 2km

The height of this triangle is 3.8km

2 × 3.8 ÷ 2 = 3.8km²

Answer:

I think the answer would be the very first one.

they all need to have '' ( ) '' in them.

if a number is outside of that, it needs to at least have a letter beside the number

here's an example

Factored form:

2x(x + y)

not factored:

2(x - y)

but for the first one, it's correct from the rest of them.

Answer: No, the correct answer is 320.

Step-by-step explanation: To solve for Y, simplify both sides of the equation, then isolate the variable.

Step 1: Multiply both sides by 8.

[tex](\frac{y}{8} )\times(8)=(40)\times(8)=320[/tex]

Therefore, your answer is incorrect, the correct answer is 320.

Answer:

It is true because scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Answer:

53

Step-by-step explanation:

Angles that are supplimentary to ∠1 are ∠4 and ∠2 as they form and angle which measures 180°.

A line is called a transvarsal line when it intersects two or more than two lines at two or more than two different points.When a transvalsal intersect two lines at two different points two pairs of alternate angle forms and if they are congruent to each other then the lines which are intersected by a transvarsal are parallel to each other.

We know two are supplimentary if their sum is 180° and we also know that when two lines intersect each other their adjacent angles supplimentary to each other.

∴ Angles that are supplimentary to ∠1 are, ∠4 and ∠2 meaning ∠1 and ∠4 together form a supplimentary angle and ∠1 and ∠2 together form a supplimentary angle.

learn more about alternate angles here :

https://brainly.com/question/28380652

#SPJ2

Answer:

The correct explanation is option B;

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

[tex]\overline {LP}[/tex] = 5

[tex]\overline {NP}[/tex] = 10

[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15

[tex]\overline {OP}[/tex] = x - 3

[tex]\overline {MN}[/tex] = x + 1

A two column proof is presented as follows;

Statement    [tex]{}[/tex]      Reason

∠L ≅ ∠L     [tex]{}[/tex]        By Reflexive property of congruency

[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex]     [tex]{}[/tex]     Given

∠LOP ≅ ∠LMN [tex]{}[/tex]  By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN [tex]{}[/tex]  By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex]  = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2

[tex]\overline {OP}[/tex] = 2

[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6

[tex]\overline {MN}[/tex] =  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

Answer:

7 or -3

Step-by-step explanation:

its -3 only if the number you typed was ( -10 ) because i can't really tell if that dash is supposed to be there or not.

steps for 7 :

7 + (10)

7 + 1 ‧ 0

7 + 0

7

steps for -3 :

7 + ( -10 )

7 - 10

-3

Hi there!

Fractions can be equivalent to a lot other fractions...

Explanation:

43/12x2 would be 86/24 so that would be equivalent.

Let do another one..

43/12 when doing this, you can decide to divide or not but this is in the simplest form already so we can just multiply 43 and 12 with anything we want so let do... 5.

So 43 multiply by 5 would be..215 and 12x5 would be 60. So another equivalent fractions that’s the same as 43/12 or we can say 86/24 is 215/60.

I also added how I got the equivalent fractions just in case you don’t understand still...

Answer:

hello :) the answer is 30 m/s

Answer:

30m/s

Step-by-step explanation:

Convert km to m:

108 —> 108000

Convert hr to s

1 —> 3600

Now put them back into their place in the fraction: 108000/3600

Simply the fraction: 30m/s

Answer: The last option, or D

Step-by-step explanation:

35x−35y+21

Answer:

39 miles

Step-by-step explanation:

We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.

To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.

Meaning that for every hour, 13 miles were driven.

Therefore we need to multiply 13 by 3 to get our answer :

13 miles * 3hrs

39 miles

Answer:

£383.07

Step-by-step explanation:

339 X 0.13=44.07

44.07+339=£383.07

Answer:

a b e f h

Step-by-step explanation:

Answer:

as decimal = 2

as fraction = 1/2

Answer:

Area of the square = 225.0 in²

Step-by-step explanation:

Given polygon is a regular polygon that means given quadrilateral has all sides equal in measure.

And a quadrilateral with all sides equal is known to be a square.

Therefore, area of a square = (Side)²

                                              = (15)²

                                              = 225

                                              ≈ 225.0 in²

Answer:

m ∠Y = 39°

Step-by-step explanation:

The sum of all angles in a triangle is 180°, so you just have to add m∠Z and m∠X, which will be 113 + 28 = 141. 180 - 141 = 39°

Answer:

if the shape is a triangle, just find the 3rd number and they should all add to 180 degrees.

Answer:

90.2

Step-by-step explanation:

thx for the follow!!!

Answer:

105.8 is the answer

Step-by-step explanation:

105.8

Answer:

45 degrees

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

The full angle is supplementary (180 degrees) so you just do

180-(90+30)

180-120

x=60

[tex]{ \large{➢ \: \: \bf{x = - 8}}}[/tex]

[tex]{ \large{➢ \: \: \bf{ \dfrac{2y}{3} = 3 \times - 8 + 34}}}[/tex]

[tex]{ \large{➢ \: \: \bf{ \dfrac{2y}{3} = - 24 + 34}}}[/tex]

[tex]{ \large{ \bf{ ➢ \: \: \cancel{2}y = 3 \times { \cancel{(10)} {} \: \: ^{5} }}}}[/tex]

[tex]{ \large{ \therefore{ \bf{y = 15 \: \: Ans.}}}}[/tex]

Answer:

30/52

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

trust me i had the same answer and it was right

Answer:

Step-by-step explanation:vdcdcdcdcdc

Answer: 15.66

Step-by-step explanation: