Derek has $54 to spend for Christmas presents. He wants to spend an equal amount of his money on his Mom, Dad, and 2 sisters. How much can he spend on each family member? (Do it in Long division pls)

Answer:

Step-by-step explanation:

For number 1.

If x = -2.

                    y = 4x + 3 = 4(-2) + 3 = -8 + 3 = -5

If x = 3

                    y = 4x + 3 = 4(3) + 3 = 12 + 3 = 15

If x = -4

                   y = 4x + 3 = 4(-4) + 3 = -16 + 3 = -13

If x = -5

                  y = 4x + 3 = 4(-5) + 3 = -20 + 3 = -17

If x = 5

                  y = 4(x) + 3 = 4(5) + 3 = 20 + 3 = 23

For number 2.

If x = -2

                 [tex]y = x^{2} + 4 + 2x = (-2)^{2} + 4 + 2(-2) = 4 + 4 - 4 = 4[/tex]

If x = 3

                [tex]y = x^{2} + 4 + 2x = (3)^{2} + 4 + 2(3) = 9 + 4 + 6 = 19[/tex]

If x = -3

                [tex]y = x^{2} + 4 + 2x = (-3)^{2} + 4 + 2(-3) = 9 + 4 - 6 = 7[/tex]

If x = 4

               [tex]y = x^{2} + 4 + 2x = (4)^{2} + 4 + 2(4) = 16 + 4 + 8 = 28[/tex]

If x = -4

               [tex]y = x^{2} + 4 + 2x = (-4)^{2} + 4 + 2(-4) = 16 + 4 -8 = 12[/tex]

Answer:

<ABC = 51°

Step-by-step explanation:

Given

<A = 2x -15°

<B = x - 5°

< C = 148°

Now

<A + <B = < C ( Exterior angle of a triangle is equal to the sum of two opposite interior angles)

2x -15° + x - 5° = 148°

3x - 20° = 148°

3x = 148° +20°

3x = 168°

x = 168° / 3

X = 56°

Now for Angle B

= 56° - 5°

= 51°

Hope it helps :)

Step-by-step explanation:

-20 > -2x + 4

2x > 4 + 20

2x > 24

x > 12

or

x ∈ 《12 , + ∞》

-20 > -2x + 4

-20 -4 > -2x

-24 > -2x

-24/-2 < x  <inequality changes when you divide by a -ve no. >

12 < x

Answer:

thw abswer os tywentr yaxel

Step-by-step explanation:

Answer:

19 + 21 = 40.

Step-by-step explanation:

Answer:

B. -7

Step-by-step explanation:

Formula to find slope is (y2-y1) / (x2-x1)

Here we have 4 points to choose from, but we only need 2. I will use the first 2 points.

The y2 is 7, the y1 is 14, the x2 is 3, the x1 is 2.

Substitute these numbers into the formula.

(7-14) / (3-2)

^ This is basically -7/1, or -7.

x = √(10²+24²)

= √(100+576)

=√(676)

= 26.

Answer:

26

Step-by-step explanation:

since wz is a tangent to the circle then measure angle wzy equal 90° so you will be using Pythagoras therom then X = (24)^2 + (10)^2 all under a square root as it's a hypotenuse

Answer:

829.09

Step-by-step explanation:

Hope this helps :)

Answer:

(-1,-1)

thats where they intersect

and thats the answer

Step-by-step explanation:

plz give brainlyest

Answer:

(-1,-1)

Step-by-step explanation:

Answer:

6.65 liters

Step-by-step explanation:

.95 liters multiplied by 7 equals

Answer:

x=(1)/(3),-(3)/(2)

Step-by-step explanation:

Answer:

(- 3/2, 1/3)

Step-by-step explanation:

7x^2+10x-3=x^2+3x

7x^2+10x-3-x^2-3x=0

6x^2+7x-3=0

6x^2+9x-2x-3=0

3x x (2x+3)-(2x+3)=0

(2x+3)x(3x-1)=0

2x+3=0

3x-1=0

x1=- 3/2

x2= 1/3

Answer:

4

Step-by-step explanation:

Since the line of the function is passing through the point (3, 4).

Here x = 3 and y = 4

So the value of the function at x=3 is 4.

Answer:

280/80 = 28/8 = 7/2 = 3.5 cm

Step-by-step explanation:

the ratio is 1cm/80mi = a cm/280mi

so you get 280cm * mi = 80mi*a cm

so a = 280/80 = 3.5  

Answer:

Quantité totale d'essence consommée:  167 litres (arrondie à l'unité pres)

Nombre de jours du voyage: 12 jours (je pense! Je ne comprends pas "jours sants" ? Suivants? )

Distance parcourue pour aller à Pittsburgh: 1269.8 km

coût total de l'essence: $ 204.11

Coût moyen de l'essence consommée par jour (arrondi au centieme pres): $17.01

Distance parcourue par jour pour le retour:  613.5 km

Distance totale parcourue durant les vacances:​ 2496.8 km

Step-by-step explanation:

Jour 1 Montreal à Parc Sandbanks

2,3,4,5 Parc Provincal Sandbanks

6,7,8,9,10  Pittsburgh

11,12 Pittsburgh à Quebec

Distance: ajouter les numéros jours par jour.

Essence consommée: 6.7 litres pre 100, donc diviser la distance totale par 100  puis multiplier par litres par km

2496.8/100 = 24.968 × 6.7 = 167.2856  et arrondir le total: 167.3

Coût total de l'essence: Il faut multiplier le total consommée par la coût par litre, $1.22  167.3×1.22 = $204.11

Coût moyen de l'essence consommée par jour:  $204.11 ÷ 12 jours = $17.01/jour

Distance parcourue par jour pour le retour: 1227km/2days = 613.5 km/jour

Distance totale parcourue durant les vacances:​ Ajoutez les distances journalières parcourues à Pittsburgh à la distance de retour  à Quebec.

1269.8 + 1227 = 2469.8 km

9514 1404 393

Answer:

  $91

Step-by-step explanation:

The amount of interest earned is given by the formula ...

  I = Prt

where P is the invested amount at rate r for t years.

Filling in the given values, we find the interest to be ...

  I = $650·0.035·4 = $91

Ben will earn $91 interest in 4 years.

Answer:

x = 1

Step-by-step explanation:

h(x) =2x+2    h(x) = 4

4 = 2x + 2

4 - 2 = 2x

2 = 2x

x = 2/2

x = 1

Answer:

21 dollars

Step-by-step explanation:

Answer:

$21

Step-by-step explanation:

Make the original statement into a ratio.

$28/4

Simplify the fraction above.

$28/4 = 7

So, you earn $7 per car you wash.

As a result, you multiply $7 by the number of cars the question is asking you for. In this case it is 3 cars.

So, you multiply 7 x 3

7 x 3 = 21

Therefore, you will earn $21 for washing 3 cars.

Answer: A) there is no direct correlation

Step-by-step explanation:

Given:

Consider the rule of translation of a triangle is [tex]T_{(-3,5)}(x,y)[/tex].

To find:

The another way to write this rule.

Solution:

We have, the rule of translation [tex]T_{(-3,5)}(x,y)[/tex].

We know that [tex]T_{(a,b)}(x,y)[/tex] is defined as

[tex](x,y)\to (x+a,y+b)[/tex]

So, [tex]T_{(-3,5)}(x,y)[/tex] can be defined as

[tex](x,y)\to (x+(-3),y+(5))[/tex]

[tex](x,y)\to (x-3,y+5)[/tex]

It means, the triangle is translated 3 units left and 5 units up.

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Answer:

2.5 mph

Step-by-step explanation:

70 miles per hour :4 hours

35 miles per hour:8 hours

1 mile per hour:16 hours

60 miler per hour

do 16/6

2.5 hours

Answer:

40 slices

Step-by-step explanation:

one eighth times 8 equals 1 pizza. 8 times 5 is 40

Answer:

there is a total of 40 pizza slices in total

Answer:

f=gx−3/x−5

Step-by-step explanation:

Step 1: Flip the equation.

fx−5f+3=gx

Step 2: Add -3 to both sides.

fx−5f+3+−3=gx+−3

fx−5f=gx−3

Step 3: Factor out variable f.

f(x−5)=gx−3

Step 4: Divide both sides by x-5.

f(x−5)/x−5=gx−3/x−5

Answer:

The image shows the points on a coordinate axis.

Step-by-step explanation:

The first point is [tex](-3,4)[/tex].

This means that the point on the [tex]x[/tex] axis is [tex]-3[/tex] and [tex]y[/tex] axis is [tex]4[/tex]. The point is in the second quadrant.

The second point is [tex](4,4)[/tex].

This means that the point on the [tex]x[/tex] axis is [tex]4[/tex] and [tex]y[/tex] axis is [tex]4[/tex]. The point is in the first quadrant.

The image shows the points on a coordinate axis.

Answer:

7 UNITS

Step-by-step explanation:

YW :D

Answer:

It's an undefined slope

Answer:

4x + y = -12

Step-by-step explanation:

Standard form is Ax + By = C

First, distribute the -4:

у + 4 = -4(х + 2)

y + 4 = -4x - 8

Subtract 4 from both sides:

y = -4x - 12

Add 4x to both sides:

4x + y = -12

So, the standard form equation is 4x + y = -12