Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of the summer. He withdraws $28 each week for food. Which inequality represents w, the number of weeks Manuel can withdraw money while not dropping below a $300 balance? 28 minus 600 w less-than-or-equal-to 300 28 minus 600 w greater-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300 600 minus 28 w less-than-or-equal-to 300

Given that,

The number of heating degree days can be calculated by the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.

Solution,

The high temperature was 51°F and the low temperature was 45°F.

Average of high and low temperatures for the day is given by :

[tex]T=\dfrac{51+45}{2}\\\\T=48^{\circ} F[/tex]

Now using formula :

H = 65 - T

H = 65 - 48

H = 17

Hence, there are 17 heating degree days.

Answer:

See below

Step-by-step explanation:

We have

[tex]g(x)=2x^2 + 3x + \dfrac{2}{x} - 1[/tex]

The function is true [tex]\forall x \in\mathbb{R}[/tex] except 0, because division by zero is undefined.

Therefore, the domain of the function can be written as

[tex]Dom(g) = \mathbb{R}-\{0\} \text{ or } (-\infty, 0)\cup (0, \infty)[/tex]

Answer:

<ABD = 44

<DBC = 44

<ABC = 88

Step-by-step explanation:

If an angle bisects another, then the two resulting angles are equal

In this case <ABC is bisected by BD

which means that

<ABD = <DBC

so

6x + 14 = 3x + 29

simplify and solve using inverse operations

6x + 14 = 3x + 29

-3x    -14  -3x   -14

3x = 15

/3    /3

x = 5

now substitute into the given values

< ABD = 6x + 14

             = 5 * 6 + 14

             = 30 + 14

             = 44

<DBC = 3x + 29

         = 5 * 3 + 29

         = 15 + 29

         = 44

< ABC = <ABD + <DBC

<ABC = 44 + 44

          = 88

Answer:

44, 46, 48

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

x+x+1+x+2=138

3x+3=138

3x=138-3

3x=135

Answer:

57

Step-by-step explanation:

x= 180-123

x=57

Answer:

Step-by-step explanation:

Several congruent angles are formed.

Vertical angles are formed.

Complementary angles are formed.

Supplementary angles are formed.

Obtuse angles are formed.

1

Answer:

Find the slopes of the linear functions.

On a coordinate plane, a line goes through points (0, 6) and (6, 0). Y = negative 2 x + 7.

The slope of the line given by the linear equation is  

✔ -2

.

The slope of the line shown in the graph is  

✔ -1

.

Step-by-step explanation:

on edge 2020

The slope of linear Equation is -2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

y= -2x+ 7

Now, we know the standard form of slope- intercept form

y= mx+ b

where m is slope and b is the y- intercept

Now, Comparing it with given equation we get

slope, m= -2

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

h(-3) = -3

Step-by-step explanation:

h(-3) = -(-3)2 + 3(-3)

h(-3) = 6 - 9

h(-3) = -3

Answer:

h(-3)= -18

Step-by-step explanation:

Substitute -3 for x

-(-3)^2 + 3(-3)

Simplify

-(9) - 9

Answer: -18

answer: m=1

work:

3/2 + 2m = 7/2

3/2 (-3/2) + 2m = 7/2 (-3/2)      subtract 3/2 from both sides

2m = 2

2m/2 = 2/2    divide 2 on both sides

m = 1

Answer:

y=3x+5

Step-by-step explanation:

For this you can use the point-slope formula: y-y1=m(x-x1). Since the line we're looking for is parallel,  both slopes are equivalent.

First, you have to rewrite the primary equation into standard form, which would rewrite to y=3-3x or y=-3x+3. Then, you can use the information we have in the point-slope formula:

y-(2)=3(x+1)

y-2=3x+3

y=3x+5

Check:

(2)=3(-1)+5

2=-3+5

2=2

Answer:

[tex]b^{4}[/tex]

Step-by-step explanation:

Step 1:

[tex]\frac{b^{10} }{b^{6} }[/tex]              Equation

Step 2:

[tex]b^{10-6}[/tex]         Subtract

Answer:

[tex]b^{4}[/tex]    

Hope This Helps :)

Answer:

-x/3 ≥ 5

L.C.M= 3

3 × -x/3 ≥ 5 × 3

-x ≥ 15

-x/-1 ≥ 15/-1

x ≤ -15

Answer:

10:4, 15:6, 20:8

hope that helps.

Answer:

i think its A

answer:

75 times

explanation:

just add 25 per 10 seconds

Answer:

The correct answer is 75 jumps in 30 seconds.

Step-by-step explanation:

All you do is multiply 25x3=75. Because 3x10=30.

OK OK OK OK. think I know this

Answer: I’m sorry, but what do you need help on? Can you please send a link (image). Then, I will be able to help you! Thank You!

Step-by-step explanation: (Proper Question and Image) Required*

Answer: [tex]\sqrt{10\\[/tex]

Step-by-step explanation:

To solve for x you would have to take the square root of both side.

Answer:

Step-by-step explanation:

In algebra, the goal is to isolate the variable, so its value can be determined.

x^2 = 10

square root both sides

Answer:

see below

Step-by-step explanation:

To find the y intercept, let x= 0 and solve for y

3x + y=6

3*0 +y = 6

y = 6

The y intercept is 6

(0,6)

Answer:

48 miles

Step-by-step explanation:

36/3 = 12.

12 = 1/4 of the way home

12 x 4 = 48

The total length is 48 mi.

Answer:

1 be creative

2 get organized

3 be consistent

4 analyze your competition

5 understand the risks and reward

6 stay focused

7 ability to become a leader

8 great decision maker

9 prepare to sacrifices

10 provide great service

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Answer:the value of AC is 15

Answer:

y=42.3333333333 (repeating)

Step-by-step explanation:

You need to find the corresponding side. You can see D H is corresponding to E C. So here is what you have to do, find x to (8x - 43) and (2x + 13).

2x + 13 + 8x - 43= 90

10x -30 = 90

     +30  +30

10x = 120

/10     /10 = 12

to check if this is right take x which is 12 and plug it in.

8 x 12= 96 then 96 - 43= 53

2 x 21= 24 then 24 + 13= 37

Next you take 53 and 37 and add it together

53 + 37= 90

about that corresponding side, now you know D H and E C both equal 53

Now you can solve your equation.

53 + 2y + y= 180

53 + 3y = 180

-53           -53

         3y = 127

         /3     /3    

y = 42.333333 (repeating)

to check if this is right take y which is 42.3333333 (repeating) and plug it in.

2y means to multiply y two times so...

42.3333333 (repeating)+ 42.33333333 (repeating)= 84.6666666 (repeating)

y = 42.333333333 (repeating)

E C = 53

add all the numbers together

42.333333 (repeating) + 84.66666666 (repating)+ 53= 180

Therefore y equals 42.33333333 (repeating)

Answer:

35 :)

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

D = Divide

M = Multiply

S = Subtract

B = Bring down

Answer:

$77

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

because den whose part is 5:2 got 55, then you should divide 55 by 5 and get 11, then multiply 11 by 2 equals 22.

55 + 22 = 77  

Answer: X =  -5

Step-by-step explanation:

Answer:

i think it is C

Step-by-step explanation: