3 of 5
The ratio of boys to girls in a class is 4:3. There are 35
students in the class. How many more boys than girls are
there?

Answer:

[tex]Solution,\\Here,\\Slope~of~line~y=\frac{2}{3}x+19, m_1=\frac{2}{3} \\Let~slope~of~line~passing~through~(6,2)~and~parallel~to~ y=\frac{2}{3}x+19~be~m_2.\\Using~condition~of~parallel~lines,\\m_1 = m_2\\or, m_2 = \frac{2}{3} \\Now,\\The~eq^n~of~a~line~passing~through~(6,2)~and~having~slope~\frac{2}{3}~is~given~by:\\y-2=\frac{2}{3} (x-6)\\or, 3y-6 = 2x-12\\or, 2x-3y = 12-6\\or, 2x-3y=6~is~the~required~equation[/tex]

Answer:

Whole Number

Step-by-step explanation:

Answer:

A whole is a fraction with the denominator of one.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The solution of the system of inequalities is the intersection region of all the solutions in the system. Example 1: Solve the system of inequalities by graphing: y≤x−2y>−3x+5. First, graph the inequality y≤x−2 .

Step-by-step explanation:

Easy steps!

Answer:

r=1

Step-by-step explanation:

77 - 88 = -11

-11/-11 = 1

Answer:

22.)

m/8 = 15/24

8×15= 120

120÷24= 5

m=5

23.)9/p = 4/48

9×48= 432

432÷4=108

p=108

24.) 10.50÷3= 3.50

thats $3.50 per pizza.

9 pizzas= $31.50

plus one pizza aka, 31.50+3.50= $35

therefore, 10 pizzas would cost $35

26.) 5/2 = d-2/4

cross multiply:

5×4=2(d-2)

20= 2(d-2) divide both sides by 2

20÷2 = 2(d-2)÷2

10= d-2 exchange places with d and 10 and change signs

-d= -2-10

-d=-12 change the sign on both sides when the variable is negative.

d=12

Answer: 5

Step-by-step explanation:

each banana split is equal to 2 lbs. therefore, to gain 10 lbs. you need to eat 5 banana splits.

500cal = 1 lb.

1000cal = 1 banana split

1 banana split = 2lbs.

to gain 10lbs, divide 10lbs by 2lbs = 5 banana splits

Answer:

x = 28

m∠ACD = 68°

Step-by-step explanation:

∠BAE ≅∠DAC because they are vertical angles

∠ACD = 180 - 124 = 56°

to find 'x':   56 + 2x + (180 - 4x) = 180

236 - 2x = 180

-2x = -56

x = 28

m∠ACD = 180 - 4(28)  =  180 - 112  =  68°

Answer:

the answer of 21-(-17)=21+17=38

Answer:

around 470 students would prefer coke

Step-by-step explanation:

50 - 12 = 38

38 / 50 = 76%

620 (0.76) = 471.2

Answer: 11.5 feet

Step-by-step explanation:

We should note that for a right angles triangle, the square of the hypothenuse equals to the square of the opposite side and its adjacent. This can be expressed as:

Let the length of Fahims shadow be x

hypotenuse² = opposite² + adjacent ²

13² = 6² + x²

169 = 36 + x²

x² = 169 - 36

x² = 133

x =✓133

x = 11.53

= 11.5 feet to nearest tenth

Answer:

C 11.5

Step-by-step explanation:

Have a great day!

Answer:

2/3 is answer

Step-by-step explanation:

Answer:

y int= 12.50

slope= 2.00

equation= y=2x+12.5

Step-by-step explanation:

the y intercept in this case is the cost when you've watched 0 movies- its the initial price you pay, or the y value when the x value is equal to 0

the slope is the cost of each movie, or the increment by which the y values goes up when the x value goes up by 1 in this case. (for example the slope would be 5 if the movie price were 5 for each one movie)

y=mx+b is the equation for a linear equation, where m is the slope and b is the y intercept.

Answer:

b

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Answer:

Is C

Step-by-step explanation:

60 = 6y

if you divide both by 6

So y = 10

Answer:

start your grap at (0,7) and go up 5 to the right 1 and down 5 to the left 1

Answer: 249

Step-by-step explanation: Khan Academy

Answer:

111

Step-by-step explanation:

GOT IT RIGHT!

Answer: (x-6)(x+1)

Step-by-step explanation:

Sum :  x2 − 5  x- 6

x2 + x-=6 x − 6

factor pair: x  2 + x − 6 x − 6

x( x+ 1 ) − 6 ( x + 1 )

rewrite from: x (x  + 1 ) − 6 ( x + 1 )

(x-6)(x+1)

Answer:

A: (x-6)(x+1)

Step-by-step explanation:

We need to find 2 numbers that add to make -5 and multiply to make -6.

We already have the numbers infront of us, so by process of elimination we can remove B and D.

For the numbers, we need a positive number and a negative number (two negatives make a positive). We can eliminate C because at first -3 multiplied by 2 is -6. However, when -3 is added to 2 we get -1.

If we expand A, it makes the expression that needs to be factorised because...

-6 × 1 = -6

-6 + 1 = -5

So expanding it properly we get.

x² - 6x + x - 6

Simplify.

x² - 5x -6

Answer:

51.3 degrees

Step-by-step explanation:

Answer: Jesse

Step-by-step explanation:

Elizabeth - 50f/10s

Jesse - 55f/10s

Reagan - 53.3333333/10s

Jesse is the fastest

Answer:

I think that Jessie swam the fastest

Step-by-step explanation:

Jessie swam the fastest bc Reagan only swims 160 feet in half a minute and 110 is less than 160 and 20 + 20 =40 so if Jessies swimming speed and time was multiplied by 2, she would still swim faster!

(sorry Im not the best at math but I hope you can understand my logic lol)

Answer:

d= 1/ 4

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

-16(d + 1) = -20

-16d - 16 = -20

-16d - 16 + 16 = -20 + 16

-16d = -4

-16d/-16 = -4/-16

d = 1/4

Answer:

ML = 6

Step-by-step explanation:

Since HIJ is a scale drawing of KML, this means the IJ and ML are corresponding sides. The corresponding sides have proportional lengths, so from HJ ≅ LK you can learn that the scale factor is 20 / 5 = 4. likewise you can confirm this with HI ≅ MK is 36 / 9 = 4.

So ML is found by dividing JI by 4 = 24/4 = 6.

Answer:

48

Step-by-step explanation:

57 + 27 = 84

180 - 84 = 96

96 ÷ 2 = 48

Answer:

Adam is typing...

Step-by-step explanation:

Answer:

A newborn weighs 8 pounds at birth and gains 1.5 pounds each month for the next 3 months.

They all mostly seem right, but when a baby is first born the year is 0, so therefore it most likely seems like the first one! :)

^^ hope this helps :)