Angelica and Diego collect Pokémon cards. Angelica has
four more cards than Diego does. Together, they have 18 in total. How many cards does Angelica have?

Answer:

Option (1)

Step-by-step explanation:

We have to graph the system of inequalities given.

y > 2x + 1 -----(1)

y > |x| --------(2)

For inequality (1),

Solution area will be the area above the dotted line y = 2x + 1

Similarly, solution area of the second inequality will be the area above the dotted lines of y = |x|

Solution area of the system of inequalities will be the common area of both the graphs of the given system.

That will lie in quadrants 1 and 2.

Option (1) will be the answer.

Answer:

x = 4 - 5/2 y

Step-by-step explanation:

2x + 5y = 8.

Subtract 5x from each side

2x + 5y -5y = 8-5y

2x = 8 -5y

Divide each side by 2

2x/2 = (8-5y)/2

x = 4 - 5/2 y

Answer:

x=[tex]\frac{-5y}{2}[/tex]+4

Step-by-step explanation:

Hi there!

We're given the equation 2x+5y=8 and we want to solve it for x

as we don't know the value of y, x won't actually be a number (it'll be an expression instead). However, we will solve this as if it was a regular equation by isolating x onto one side

here's the given equation

2x+5y=8

start by subtracting 5y from both sides

2x=-5y+8

divide both sides by 2

x=[tex]\frac{-5y}{2}[/tex]+4

Hope this helps!

Step-by-step explanation:

−2(4y+1)=−8y−2

4y+1=4y+1

infinite solutions

Answer:

Infinitely many solutions

Step-by-step explanation:

-2(4y+1)=−8y−2

=> -2(4y)-2(1)= -8y-2

=> -8y-2=-8y-2

=> Infinitely many solutions as x from both sides get cancelled

Answer:

2400

2640

360

Step-by-step explanation:

the retailer has to sell it for the same price as the dealer.

so, both mark it for 2400 sale price.

if a customer buys it at the retailer, the retailer makes the 15% discount he got from the dealer as profit.

2400 = 100%

1% = 2400/100 = 24

15% = 24×15 = 360

the retailer makes this profit no matter what other fees or taxes are added.

the final price is then including 10% VAT

2400 = 100%

10% = 24×10 = 240

final price = SP + VAT = 2400 + 240 = 2640

Answer:

see explanation

Step-by-step explanation:

- 6 would represent a $6 debt

- 6 would represent 6 feet below sea level

Answer:

Step-by-step explanation:

Line segment          Point         Point         Distance    Proof

AB                           A(-3 , 4)      B(2,4)          5                2 - (-3) = 2 +3 = 5

BC                          B(2,4)          C(5,4)          3                 5 - 2 = 3

CD                          C(5,4)          D(5,-1)          5              4 -(-1) = 4 +1 = 5

DE                           D(5 , -1)       E(5,-3)          2             -1 -(-3) = -1 +3 = 2

EF                           E(5, -3)        F(-5,-3)         10            5 - (-5) = 5+5 = 10

Answer:

[tex]P(none) = 0.0859[/tex]

Step-by-step explanation:

Given

[tex]p =20\%[/tex] --- proportion of household that tuned to September

[tex]n =11[/tex] --- selected households

Required

[tex]P(none)[/tex]

Using the complement rule, the proportion that did not tune (q) is:

[tex]q= 1 - p[/tex]

[tex]q= 1 - 20\%[/tex]

[tex]q= 1 - 0.20[/tex]

[tex]q= 0.80[/tex]

So, the probability that none of the 11 tuned in is:

[tex]P(none) = q^{11}[/tex]

[tex]P(none) = 0.80^{11}[/tex]

[tex]P(none) = 0.0859[/tex]

Time = distance / speed

Time = 450 miles / 65 miles per hour

Time = 6.9 hours

Answer:

D = 3 √5 units

Step-by-step explanation:

Here, we want to find the distance between these two points

to get this, we use the distance formula as follows

D = √(x2-x1)^2 + (y2-y1)^2

so we have for (3,-6) and (9,-3)

D = √(3-9)^2 + (-6 + 3)^2

D = √(36 + 9)

D = √(45)

D = 3√5 units

Answer:

45

Mark me as brainlist

ok

Answer:

x = 2

Step-by-step explanation:

AE is equal to the sum of AB and BE because of segment addition postulate, we can substitute to get AE = 11 + x + 1 = x + 12

DE is equal to the sum of DC and CE because of segment addition postulate, we can substitute to get DE = 1 + x + 4 = x + 5

To solve the problem, we can use power of a point, more specifically exterior secants products scenario. In this case, we can get the equation:

AE * BE = DE * CE

Now, we can substitute and solve:

(x + 12)(x + 1) = (x + 5)(x + 4)

x^2 + 13x + 12 = x^2 + 9x + 20

13x + 12 = 9x + 20

4x + 12 = 20

4x = 8

x = 2

Answer:

Answer:

1. B 130 2/3ft^3

2. B 226 in^3

3. B 33 cm^3

4. A 4 m

5. D 15m

Step-by-step explanation:

I got a 100! For connexus students, hope this helps!!

Step-by-step explanation:

4a+3b+17

is your answer

hear is your explanation

Answer:

-15

Step-by-step explanation:

Step 1: Multiply 3 by both sides

3(2/3x)=3(-10)

Step 2: Simplify

2x=-30

Step 3: Divide both sides by 2

2x/2=-30/2

Step 4: Simplify

x=-15

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

[tex]V=36.63cm^3[/tex]

Step-by-step explanation:

Volume formula for rectangular prism is [tex]V=lwh[/tex]

Volume = length * width * height

[tex]V=4.5*2.2*3.7[/tex]

[tex]V=36.63[/tex]

Hope this helps

Answer:

about 3 years

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^t

Given

Amount A == $2400

Principal P = $1200

rate = 24.77% = 0.2477

Substitute the given values

2400 = 1200(1+0.2477)^t

2400/1200 = (1+0.2477)^t

2 = (1+0.2477)^t

ln 2 = tln1.2477

t = ln2/ln1.2477

t = 3.13

Hence it will take about 3 years  until Brad owes the  credit card company $2,400

Answer:

[tex]V=2080m^3[/tex]

Step-by-step explanation:

The volume formula for triangular prism is  [tex]V=\frac{1}{2}bhl[/tex]

[tex]V=\frac{1}{2}(26)(20)(8)[/tex]

[tex]V=\frac{1}{2}(4160)[/tex]

[tex]V=2080[/tex]

Hope this helps

Answer:

The answer is 2080m^3

Step-by-step explanation:

The formula for volume of a prism is 1/2 x length x width x height

Hope it helps :)

Answer:

the gas cost for the entire trip is $77

Step-by-step explanation:

Given that

For the first 300 miles, it spend $12.50 on gas

We need to find out the gas cost for the overall trip at the time when it drives 960 miles

So, it should be

= 960 miles ÷ $12.50

= $76.80

= $77

Hence, the gas cost for the entire trip is $77

Answer:

10.92 inches

Step-by-step explanation:

So Nate grows 1.68 inches a month in this case you have 6 and a half month which is equivalent to 6.5 and so in this case you can multiply.

1.68 inches*6.5 months = 10.92 inches

Answer:

10.92 inches

Step-by-step explanation:

Use a proportion. Set up two ratios equal to each other.

Given ratio:

The ratio of months to inches of growth is

1 month : 1.68 inches or 1/1.68

Now set up a ratio involving the unknown amount.

6 1/2 is the same as 6.5

In 6.5 months, he grows x inches.

6.5 months : x inches, or 6.5/x

Set the ratios equal creating a proportion.

[tex] \dfrac{1}{1.68} = \dfrac{6.5}{x} [/tex]

Cross multiply.

1 * x = 1.68 * 6.5

x = 10.92

Answer: 10.92 inches

Answer:

[tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]

Step-by-step explanation:

slope of perpendicular line: m = [tex]\frac{1}{12}[/tex]

solve for b:

[tex]1 = \frac{1}{12}(-4) + b[/tex]

solve parenthesis:

[tex]1 = -\frac{1}{3}+b[/tex]

add [tex]\frac{1}{3}[/tex] to both sides:

[tex]b = \frac{4}{3}[/tex]

final equation: [tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]

Answer:

32

Step-by-step explanation:

d6 plus four nine its wrong "+_)

16 hours 6 minutes

See the image above

Answer:

$190

Step-by-step explanation:

My knowledge!

Hope it helps!

Answer:

190

Step-by-step explanation:

Step 1 find total amount of money she has saved

To do this simply multiply the amount of money she saves per week ( 4.75 ) by the number of weeks ( 8 )

Hence money she has saved = 8 * 4.75 = 35

Step 2 subtract cost of camera by amount of money she has saved

228 - 38 = 190

So we can conclude that she needs 190 more dollars to purchase the camera.

Answer:

[tex]2048 \times( \frac{1}{4} ) {}^{x} [/tex]

Step-by-step explanation:

Objective:Functions

The table of values range and domain isn't proportional so the answer is exponential.

A exponential function is represented by

[tex]ab {}^{x} [/tex]

The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be

[tex] \frac{1}{4} [/tex]

b=1/4 so plug that in our expression.

[tex]a( \frac{1}{4} ) {}^{x} [/tex]

Let plug in 1,512.

[tex]a( \frac{1}{4} ) {}^{1} = 512[/tex]

[tex] \frac{1}{4} a = 512[/tex]

[tex]a = 2048[/tex]

So our function is

[tex]2048 \times ( \frac{1}{4} ) {}^{x} [/tex]

Answer:

Step-by-step explanation:

(3). 1 g ≈ 0.035274 oz

675 g ≈ 23.8 oz

(4). 1 cup ≈ 236.588 ml

[tex]\frac{1}{3}[/tex] cup ≈ 78.86 ml

(5). 1 L ≈ 0.22 gal.

150 L ≈ 33.0 gal.

(6). 1 cm ≈ 0.3937 inch

1 cm² ≈ 0.155 inch²

2.5 cm² ≈ 0.3875 inch²

Answer:

QR = 65.4 m

Step-by-step explanation:

a. Apply Law of Cosines to find QR:

p² = q² + r² - 2qr × Cos P

p = QR = ?

q = PR = 150 m

r = PQ = 120 m

P = 25°

Plug in the values

p² = 150² + 120² - (2)(150)(120) × Cos(25°)

p² = 22,500 + 14,400 - 36,000 × 0.9063

p² = 36,900 - 32,626.8

p² = 4,273.2

p = √4,273.2

p ≈ 65.4 m (nearest tenth)

QR = 65.4 m