Which is more, 6 quarts or 26 cups?​

Answer:

32/52 = 16/26 = 8/13

Step-by-step explanation:

If only Black cards = 26 this includes all black face cards

Face cards = 3 in each suit, 2 red suits so  3 × 2=6

26 + 6 = 32

Answer:

[tex]\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height[/tex]

Given:

Substitute the given values into the equation and solve for h:

[tex]\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)[/tex]

[tex]\sf \implies 18 = \sf \dfrac62 (h+1)[/tex]

[tex]\sf \implies 18 =3(h+1)[/tex]

expand using distributive property of addition [tex]a(b+c)=ab+ac[/tex]:

[tex]\sf \implies 18=3h+3[/tex]

subtract 3 from both sides:

[tex]\sf \implies 3h=15[/tex]

divide both sides by 3:

[tex]\sf \implies h=5[/tex]

To verify:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

Answer:

Below!

Given:

Formula:

[tex]\text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

Substitute the measures into the formula:

[tex]:\implies 18 \ \text{cm}^{2} = \dfrac{1}{2} \times 6 \times \text{(h} + 1\text{)}[/tex]

SImplify the R.H.S:

[tex]:\implies18 \ \text{cm}^{2} = 3 \times \text{(h} + 1\text{)}[/tex]

Divide both sides by 3:

[tex]:\implies \dfrac{18}{3} = \dfrac{3 \times \text{(h} + 1\text{)}}{3}[/tex]

Simplify both sides:

[tex]:\implies 6 = \text{(h} + 1\text{)}[/tex]

Subtract 1 both sides:

[tex]:\implies 6 - 1 = \text{h} + 1- 1[/tex]

Simplify both sides:

[tex]:\implies 5= \text{h}[/tex]

Reviewing on how to verify our answer:

We can verify our answer by substituting the value of "h" in (h + 1) to determine the height of the triangle. Then we can substitute the height and the base in the "area of triangle" formula (1/2 x Base x Height).

Verifying our answer through mental math:

Thus, the value of "h" is verified through mental math.

The solution of the logarithmic equation is given by the antilog. Then the value of x is 2 and 4.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The logarithmic equation is given below.

[tex]\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)= \log _66x\\[/tex]

Take antilog, then we have

[tex]\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}[/tex]

Then the value of the x is 2 and 4.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

D. 2 and 4

Step-by-step explanation:

Answer:

2^1/6

Step-by-step explanation:

either find the result of all equations or

times square root(2) by cube root (3) and put it over 1

... 1/6 and put this as the power to the number in the question

Add the prices together:

1.50 + 0.80 + 0.90 = 3.20

Answer: B. $3.20

Answer:

$  3.20  (Answer B)

Step-by-step explanation:

Add up the three prices given:

 $1.50

    0.80

     0.90

-------------

  $  3.20  (Answer B)

Answer:

It is B.

Step-by-step explanation:

explanation is in the pic.

The perimeter of the rectangle of length (x₂ - x₁) and width (y₂ - y₁) will be 2(x₂ - x₁) + 2(y₂ - y₁). Then the correct option is A.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

The length of the rectangle will be (x₂ - x₁) and the width of the rectangle will be (y₂ - y₁).

Then the perimeter of the rectangle will be

Perimeter = 2(x₂ - x₁) + 2(y₂ - y₁)

More about the rectangle link is given below.

https://brainly.com/question/10046743

Answer:

C. 9

Step-by-step explanation:

y = -4x^2 + 2kx

subtitute 3:

y = -4(9)^2 + 2k(9)

y = -4(81) + 18k

let y = 0

=> 0 = -324 + 18k

=> k = 324/18 = 9

this is my calculations hope it helps

Answer:

your question seem off but if its x² + 2x + y² +10y=15

Step-by-step explanation:

the answer will be

center = (-1,-5)

radius = square root 41

which will be C:center (-1,-5), radius square root 41

Answer:

3.09 per ft

Step-by-step explanation:

1 yd = 3ft

so 2 yd = 6ft

6ft = 18.54

18.54  /6ft

3.09 per ft

Answer:

The area of T is equal to sum of area of R and Triangle

Step-by-step explanation:

[tex]area = 12 \times 2[/tex]

Area)= 24

[tex]area = \frac{1}{2} \times 12 \times 15[/tex]

Area= 90

Area of T = 90 PLUS 24

AREA == 114

[tex]x^2+4x+4 = 8\\\\\implies x^2+2\cdot 2 \cdot x+2^2 = 8\\ \\\implies (x+2)^2 = 8\\\\\implies x+2 =\pm\sqrt 8\\\\\implies x +2 = \pm\sqrt{4 \times 2}\\\\\implies x +2 = \pm2\sqrt 2\\\\\implies x =-2 \pm2\sqrt2[/tex]

Answer:

-3x + 7

Step-by-step explanation:

Divide -8x + 6    into   the product   to find the other is -3x+7

Answer:

Step-by-step explanation:

Part A, the system of equation is, presented here as follows;

(1) 2·y = 3·x + 2

(2) y = 2·x² - 3·x + 2

Part B; The graph of the system of equation is attached

The reason for the above answers is as follows;

Part A

A system of equations are a given number of equations from which a common solution of the system can be found

A linear equation is an algebraic equation in which the maximum exponent of the variables is one and the graph of the equation is a straight line which is of the form y = m·x + c

A maximum value of the exponents of the variable quadratic equation is 2, and the general form of the quadratic equation is y = a·x² + b·x + c, where a, b, and c are real numbers

Therefore, the system of equation that can be created is as follows;

(1) 2·y = 3·x + 2

(2) y = 2·x² - 3·x + 2

Method for solving;

Divide equation (1) by 2, and equate both values of y to find the common solution as follows;

2·y/2 = (3·x + 2)/2 = 1.5·x + 1

∴ y = 1.5·x + 1

Equating both values of y gives;

y = 1.5·x + 1

y = 2·x² - 3·x + 2

Therefore;

1.5·x + 1 = 2·x² - 3·x + 2

2·x² - 3·x - 1.5·x + 2 - 1 = 0

2·x² - 4.5·x + 1 = 0

Using the quadratic formula, we get;

x = (4.5 ± √((-4.5)² - 4×2×1))/(2 × 2)

x = 2, or x = 0.25

From which we get;

y = 1.5 × 2 + 1 = 4, or y = 1.5 × 0.25 + 1 = 1.375

The points where the line graph and the quadratic graph intersect are;

(2, 4), and (0.25, 1.375)

Part 2

Answer:

both answer is wrong because in this expression

4g+12-g+5

3g+17 is the answer

Answer:

A i= 44. B i= 44. C i= 40.

Answer:

f(x)=3x−3

Step-by-step explanation:

hope this helps.

Answer:

∠1 = 130°

∠2 = 50°

∠3 = 130°

Step-by-step explanation:

As we can see Angles 1 and 50° are on a straight line. As :

Angles on a straight line add up to 180. So :

50 + ∠1 = 180

∠1 = 180-50

∠1 = 130

As we can angles 1 and 2 are on a straight line. As :

Angles on a straight line add up to 180. So :

∠1 + ∠2 = 180

As we worked out ∠1 we can substitute that in to work out ∠2 :

130 + ∠2 = 180

∠2 = 180-130

∠2 = 50

As we can angles 2 and 3 are on a straight line. As :

Angles on a straight line add up to 180. So :

∠2 + ∠3 = 180

As we worked out ∠2 we can substitute that in to work out ∠3 :

50 + ∠3 = 180

∠3 = 180-50

∠3 = 130

Hope this helped and brainliest please.

yes and you also have $1.06 as a remainder.

hope it helps..!!!

Answer:

m = 30w

Step-by-step explanation:

Answer:

The answer that looks the best is m=30w

Step-by-step explanation:

I asked my teacher and he said it was right

Cindy's new rent when she includes the renter's insurance will be C. $836.08.

As an insurance policy, renters insurance offers the policyholder insurance coverage over personal belongings, liabilities, and living expenses.

Data and Calculations

Annual insurance premium = $565.00

Monthly insurance premium = $47.08 ($565/12)

Current monthly rent = $789.00

Cindy's new rent with the renters insurance included = $836.08 ($789.00 + $47.08).

Thus, Cindy's new rent when she includes the renter's insurance will be C. $836.08.

To learn more return insurance visit:

https://brainly.com/question/24441770

The other person is correct!

The answer is C: $836.08

------------------------------------------------------------

Have a great day and God bless! :D

The provided quadratic equation, which has a negative discriminant value of -16, has no real number solutions.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

For this equation, the discriminant value can be given as,

[tex]D=b^2-4ac[/tex]

In this equation,

The quadratic equation given as,

[tex]0=ax^2 +bx +c[/tex]

This quadratic equation has a discriminant value of -16. As the value of discriminant is negative, thus it has no real solution.

Hence, the provided quadratic equation, which has a negative discriminant value of -16, has no real number solutions.

Learn more about the discriminant value here;

https://brainly.com/question/24730520

P=80º

Start by doing 180-20 since N=20

M and P are congruent, so P = 160/2

P=80

The side of a larger cube is equal to 12 ft meanwhile the side of a small cube is equal to 4 ft.

A cube is a 3D- form of a square and its volume is found in the formula:

V=s³, where: s is the length of each side of a cube.

If the small cube has a volume ([tex]V_s[/tex]) of 64 ft³, you can apply the formula V=s³ for finding its the length of its sides. Thus

[tex]V_s[/tex]=64 ft³

[tex]s_v^3[/tex]=64

[tex]s_v=\sqrt[3]{64}\\ \\ s_v=4 ft[/tex]

A larger cube has sides ([tex]s_l[/tex]) that are three times as long as the small cube. Therefore, [tex]s_l=3s_v[/tex]. If [tex]s_v[/tex]=4 ft, the [tex]s_l[/tex] will be:

[tex]s_l=3s_v\\ \\ s_l=3*4\\ \\ s_l=12 ft[/tex]

Read more about the volume of a cube here:

https://brainly.com/question/3390425

Answer:

8m

Step-by-step explanation:

an = 2 an-1 means that each term in the sequence( except the first) is obtained by multiplying the last term by 2, so the first 4 terms are m, 2m, 4m, 8m.

Answer: $7,500

Step-by-step explanation:

Use the formula: SI = P(1 + rt)

SI = 5000(1 + 0.05[10])

SI = 5000 + 2500

SI = $7,500

After 10 years, your balance should be $7,500

Answer:

x=0.38

Step-by-step explanation:

3x+0.15=1.29    1. -0.15 on both sides

3x=1.14  2. /3 on both sides

x=0.38