A total of 30 mothers baked cakes for a bake sale. Each mother baked 2 cakes. The bake sale
director found 35% of the cakes were chocolate. How many chocolate cakes were made for the bake
sale?

Answer:

n=11

Step-by-step explanation:

Permutations

The formula to calculate permutations is:

[tex]\displaystyle nPm=\frac{n!}{(n-m)!}[/tex]

We know nP3=990. Substituting:

[tex]\displaystyle nP3=\frac{n!}{(n-3)!}=990[/tex]

Expanding the factorial in the numerator:

[tex]\displaystyle \frac{n(n-1)(n-2)(n-3)!}{(n-3)!}=990[/tex]

Simplifying:

[tex]n(n-1)(n-2)=990[/tex]

This equation can be easily solved by inspection. The product of three consecutive numbers resulting 990. Starting from greatest to smallest, those numbers are 11,10, and 9, thus:

[tex]n(n-1)(n-2)=11*10*9[/tex]

It follows that n=11

Answer:

Let $10 tickets be (x)

Let $15 tickets be (y)

Now we know they sold 1000 tickets

And they earned 12,200 from sales

So we can say

X+Y=1000

10x+15y=12,200

We can do substitution

So lets find Y first

Y=1000-x (basically x+y=1000 but solved for Y)

10x+ 15 ( 1000-x)= 12,200

You’d get

10x+15000-15x=12200

Combine and solve for x and you’ll get

x=560

So we know that x is 560

We can just use that to solve for Y

Since X is 560 tickets

And 1000 tickets soled

1000-560=440

440 ($15) tickets

560 ($10) tickets

Answer:

P(B) = 0.46

Step-by-step explanation:

Probability

The complementary event of a given event A is defined as "not A" or the event that A does not occur.

For example, if A is defined as 'getting a job', then the complement of A is 'not getting a job'.

Event A and its complementary event (call it B) must satisfy:

P(A) + P(B) = 1

If we know P(A)=0.54, then

P(B) = 1 - P(A)

P(B) = 1 - 0.54

P(B) = 0.46

Answer:

for the first one it is

ED= 26

CF= 13

mED= 136

mHD= 68

mCE= dont know this one but the other ones im positive their right

Step-by-step explanation:

9514 1404 393

Answer:

  ED = 26; CF = 13; arc ED = 136°; arc HD = 68°; arc CE = 88°

  QU = 8; QR= 16; arc ST = 114°; arc QR = 114°; arc XT = 57°

Step-by-step explanation:

Chords the same distance from the center of the circle are the same length. Chords of the same length intercept arcs of the same angle measure. A radius perpendicular to a chord bisects it and the arc it subtends. The sum of arcs in a circle is 360°. These facts are used to solve the problems here.

__

Circle J

ED = 2×GD = 26

CF = GD = 13

arc ED = arc CD = 136°

arc HD = 1/2 arc CD = 68°

arc CE = 360° - 2×136° = 88°

__

Circle Y

QU = 1/2×ST = 8

QR = ST = 16

arc ST = arc QR = 1/2(360° -34° -98°) = 114°

arc XT = 1/2 arc ST = 57°

Answer:

5/4

Step-by-step explanation:

Solve by plugging in the value to "a".

Solve:

3a + 3/6

3(1/4) + 3/6

Multiply the parenthesis.

3/4 + 3/6

Simplify 3/6

3/4 + 1/2

Find the common denominator, which is 4. Make the denominators the same.

3/4 + 2/4

Add the fractions.

5/4

Answer:(a) BA = (-3,2)   (b) BC = (-9,6)

Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2).                     (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).

Answer:

My pretty sure its 5

(don’t count on it too much, this is my first answer)

Step-by-step explanation:

Answer:

Perimeter = 32 cm

Step-by-step explanation:

Use the property of tangents drawn to a circle,

"Length of tangents drawn to a circle drawn from a point given outside the circle are equal"

AE = AH = 3 cm

BE = FB = 4 cm

CG = CF = 5 cm

Since, ∠B ≅ ∠D,

Therefore, length of tangents drawn from D will be equal to the length of tangents drawn form B.

Therefore, DG = DH = 4 cm

Now AB = AE + BE

              = 3 + 4

              = 7 cm

BC = FB + CF

     = 4 + 5

      = 9 cm

CD = CG + DG

     = 5 + 4

     = 9 cm

AD = AH + HD

     = 3 + 4

     = 7 cm

Perimeter of ABCD = AB + BC + CD + AD

                                                   = 7 + 9 + 9 + 7

                                                   = 32 cm

Answer:25

Step-by-step explanation: bc 5 x 5 =25

Answer:17 chocolates left

Step-by-step explanation:

5x5= 25

42 - 25 = 17

hopefully this helps

Answer:

The answer for the first equation is,

B. 11

The answer for the second equation is,

D.none of these.

Answer:

first question:  [tex]\sqrt[4]{110}[/tex] (last option)

second question:  2a³b²· [tex]\sqrt[3]{3a}[/tex]  (3rd option)

Step-by-step explanation:

1st question - follow this rule: [tex]\sqrt[4]{m}[/tex] · [tex]\sqrt[4]{n}[/tex] = [tex]\sqrt[4]{m x n}[/tex]

2nd question: [tex]\sqrt[3]{24a^10b^6}[/tex] = [tex]\sqrt[3]{2^3a^3a^3ab^3b^3}[/tex] = 2·a·a·b·b[tex]\sqrt[3]{3a}[/tex] = 2a²b²[tex]\sqrt[3]{3a}[/tex]

Answer: 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y = 3x - 1

Answer:

x=11

Step-by-step explanation:

first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11

Answer:

y=-6x+8

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.

We know a point (2,-4) and a slope -6.

We can subtsitute what we know into the equation above, to find what the y intercept is, since the line will pass through the point given.

-4=-6(2)+b

multiply

-4=-12+b

add 12 to both sides

8=b

the y intercept is (0,8)

Now we know what b is, so we know what the full equation is:

y=-6x+8

hope this helps!

Answer:

Esta persona invirtió $ 6000 a la cuenta bancaria que paga 5 % de interés simple anual y $ 19000 a la cuenta bancaria que paga 6 % de interés simple anual.

Step-by-step explanation:

Esta persona invierte [tex]x[/tex] a la cuenta bancaria que paga 5 % de interés simple anual y [tex]25000-x[/tex] a la cuenta bancaria que paga 6 % de interés simple anual. Recibe [tex]1440[/tex] como consecuencia de las ganancias de las dos cuentas, es decir:

[tex]\frac{5\cdot x}{100} + \frac{6\cdot (25000-x)}{100} = 1440[/tex] (1)  

Ahora procedemos a resolver la ecuación resultante:

[tex]5\cdot x + 150000-6\cdot x = 144000[/tex]

[tex]150000-144000 = 6\cdot x - 5\cdot x[/tex]

[tex]x = 6000[/tex]

En consecuencia, esta persona invirtió $ 6000 a la cuenta bancaria que paga 5 % de interés simple anual y $ 19000 a la cuenta bancaria que paga 6 % de interés simple anual.

Answer:

x=-2

Step-by-step explanation:

y=-3x

4x-2y=-20

2y=4x+20

y=2x+10

subs y

2x+10=-3x

5x=-10

x=-2

Answer:

-1.5

Step-by-step explanation:

Rise is 3, run is -2

I hope this helps..

Answer:

x=5/26

Step-by-step explanation:

5/2x+2=3.5

5/2x+2=3×5

5/2x=15-2

5/2x=13

5=26x

5/26=x

x=5/26

hope this help if you want a better explanation I'll explain in the comments or something

Answer:

Step-by-step explanation:

15× 8 = 120

Answer:

d ≥ 120

Step-by-step explanation:

Multiply 15 x 8

= 120

At Least means we use the ≥ sign.

So its d ≥ 120

Sorry if this is late!

Answer:

okay, he can do it

is there supposed to be something attached? there's not enough information to solve this.

Step-by-step explanation:

Answer:

23,24,25,26

Step-by-step explanation:

X+(x+1)+(x+2)+(x+3)= 100

4x+6=100

4x=100-6

X=94/4

X=23.5

Ads the sum is said to be AT MOST  100 SO WE WILL ROUND DOWN THE NUMBER

So x=23

X+1=24

X+2=25

X+3=26

Sum=23+24+25+26=98

98<100 so answer is correct

Answer:

M = 11/2

Step-by-step explanation:

first set up the problem

18-m = m+7

subtract m to both sides

18 -2m = 7

then subtract 18

-2m = -11

divide by negative 2

m = 11/2

Answer:

the probability is 28.6% that you get both correct

Step-by-step explanation:

Answer:

2<x<7

Step-by-step explanation:

Answer:

2<x<7

Step-by-step explanation:

Answer:

18.7

Step-by-step explanation:

5.5 × 6.8 = 37.4 / 2 = 18.7

Answer:

This triangle is an isosceles triangle, so we have the formula: S = (1/2 x a) x h

A = (1/2 x 6.8 ) x5.5 = 18.7 ft²

Step-by-step explanation: