MATHEMATICS HIGH SCHOOL

Simplify the expression:
3(3 - p) =

Answers

Answer 1
Answer:

Answer:

-3p+9

Step-by-step explanation:

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Find the roots of... X^2+10X+34

It was 7 degrees below zero in the morning. By afternoon the temperature rose 15 degrees. How warm was it?

Answers

Answer:

8 degrees

Step-by-step explanation:

The temperature was -7 and then rose by 15, -7 +15 = 8
8 degrees

(-7) + 15 = 8

A nutritionist planning a diet for a runner wants him to consume 3,800 Calories and 650 grams of food daily. Calories from carbohydrates and fat will be 60% of the total Calories. There are 4, 4, and 9 Calories per gram for protein, carbohydrates, and fat, respectively. How many daily grams of fat will the diet include?

Answers

Answer:

240 grams of fat.

Step-by-step explanation:

let

c = grams of carbohydrates

p =grams of proteins

f = grams of fat.

Then from the information given:

4c+4p+9f=3800\:calories.

And since 60% of the calories should come from carbohydrates and fats (which is 2280 calories)

4c+9f =2280\:calories

And

c+p+f=650g.

Thus we have three equations:

(1).4c+4p+9f=3800\:calories.

(2).4c+9f =2280\:calories

(3).c+p+f=650g.

We put equation (2) into equation (1) and solve for p:

2280+4p=3800

\therefore \boxed{p =380\:grams}

Now we put this value of p into equation (3) and get:

c+f=270\:grams.

Now from this equation we solve for c and get:

c=270-f.

And put this value of c into equation (2) and solve forf:

4(270-f)+9f=2280.\n\n\therefore \boxed{f= 240 grams}

Thus the diet will include 240 grams of fat.

Answer: It's actually 210 g

(Excuse my answer, I made a math error)

21/7+3/7(3x−5)=−4Drag and drop the statement that shows the solution to the equation into the box.

Answers

i know this is really late but its for people here now (like me) the answer would be x= -3 1/9
21/7 + 3/7(3x - 5) = -4
21/7 + 9/7x - 15/7 = -4.....multiply everything by 7
21 + 9x - 15 = - 28
9x + 6 = -28
9x = -28 - 6
9x = - 34
x = -34/9 or - 3 7/9

William needs to work out the size of angle Y in this diagramOne of William’s reasons are wrong.

Write down the correct reason.

Answers

Answer:

because internal staggal angles are equal

Step-by-step explanation:

The first reason is wrong.

Angle EGH and DEG are internal staggal angles:

the two angles are on both sides of the cut line EG, and the two angles are between the two divided lines.

{the definition of internal staggal angle}

what is the solution to the system of equations? y =1/3 x – 10 2x y = 4 (–8, 6) (–6, 16) (6, –8) (16, –6)

Answers

Answer:

Option C is correct.

Solution to the given system of equation is (6 , -8)

Step-by-step explanation:

Given the system of equation:

y= (1)/(3) x-10             ......[1]

2x+y =4                           .....[2]

Substitute the equation [1] in [2] we get;

2x +(1)/(3)x -10 =4

Combine like terms;

(7)/(3)x -10 =4

Add 10 to both side of an equation:

(7)/(3)x -10 +10=4+10

Simplify:

(7)/(3)x =14

Divide both sides by  (3)/(7) we get;

(3)/(7) * (7)/(3)x = 14 * (3)/(7)

Simplify:

x = 6

Substitute the value of x =6 in equation [1] we get;

y= (1)/(3)(6)-10

or

y= 2-10  

Simplify:

y = - 8

therefore, the solution to the given system of equation is; (6 , -8)

You can also see in the graph as shown below:
y = 1/3 x - 10
2x + y = 4
2x + 1/3 x - 10 = 4
7/3 x = 14
x = 6
y = 1/3(6) - 10 = 2 - 10 = -8
Therefore solution is (6, -8)

Simplify: 9(a + b) + 4(3a + 2b)A) 13a 13b
B) 21a + 17b
Eliminate
C) 21a + 2b
D) 38ab

Answers

Answer:

Option (B) is correct.

The simplified form of the given expression 9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right) is 21a+17b

Step-by-step explanation:

 Given: expression 9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)

We have to simplify the given expression 9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right) and choose the correct option from given options.

Consider the given expression 9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right)

Apply distributive rule, a\left(b+c\right)=ab+ac

We have,

=9a+9b+12a+8b

Adding like terms,

LIKE TERMS are terms having same variable with same degree.

9a+12a=21a\n\n \:9b+8b=17b

We have,

=21a+17b

Thus, The simplified form of the given expression 9\left(a\:+\:b\right)\:+\:4\left(3a\:+\:2b\right) is 21a+17b
b) 9(a+b)+4 (3a+2b)=21a+17b
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