Answer:
96 eggs
Step-by-step explanation:
A dozen is equal to 12 eggs, so 15 dozen is equal to 180 eggs
(Because 15*12 = 180)
We already know how many eggs are required for the 1st cake: 12 eggs.
Then it says "each successive cake needs twice as many eggs as the previos cake".
(Successive means the cake directly after the previous cake)
Here's how we find the number of eggs needed for the 2nd cake:
The 1st cake needed 12 eggs, and because the 2nd cake is directly after the 1st cake, we are going to need two times the amount of 12 eggs.
This equation represents the above scenario:
12*2 = 24
So we need 24 eggs for the 2nd cake.
Now we repeat this process for the 3rd cake, finding twice the amount of eggs from the 2nd cake to find the amount of eggs needed for the 3rd cake:
24*2 = 48
And we repeat it once more for the 4th cake, using the eggs from the 3rd cake:
48*2 = 96
So here's the list of how many eggs are required for each of the cakes:
1st cake: 12
2nd cake: 24
3rd cake: 48
4th cake: 96
If you add all the eggs from each of the cakes, you will get 180, which is the number of eggs needed for all four cakes. So our answer is correct.
Hope this helps (●'◡'●)
2. Mandla spent one quarter of his pocket money on sweets. a. What fraction does he have left? b. If he had R40 pocket money, how much did he spend?
Answer:
a. 3/4 of pocket money left
b. R10
Step-by-step explanation:
a. 4/4 - 1/4 = 3/4
b. 40/4 = 10 = 1/4 of pocket money
(a). The fraction of pocket money left is 3/4
(b). If he had R40 pocket money, he spend R10.
What is the Ratio?The ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
Mandla spent one-quarter of his pocket money on sweets
Let x be the total amount of pocket money Mandla had originally
Solution of (a).
⇒ x - (1/4)x
⇒ (3/4)x
The fraction of pocket money left = 3/4
Solution of (b).
1/4 of pocket money
⇒ (1/4)x
⇒ (1/4)40
⇒ 10
Learn more about Ratio here:
brainly.com/question/1504221
#SPJ2
dùng tiền gửi ngân hàng trả tiền cho người bán 100.000.000
Answer:
Sorry, i dont know
Step-by-step explanation:
I dont know the answer to this question.....
Find mABC.
A. 102°
B. 54°
C. 14°
D. 78°
By the supplementary angles theorem, we know that both of the angles add up to equal 180°, so:
(4x + 22) + (8x - 10) = 180
12x + 12 = 180
12x = 168
x = 14
Now you just have to plug in x into the value for ∠ABC:
∠ABC = 4x + 22
∠ABC = 4(14) + 22
∠ABC = 46 + 22
∠ABC = 68°
Answer:
D = 78
Step-by-step explanation:
The two angles form a straight line so they add to 180
4x+22 + 8x-10 = 180
Combine like terms
12x +12 =180
Subtract 12 from each side
12x+12-12 = 180-12
12x = 168
Divide by 12
12x/12 =168/12
x=14
We want to find ABC
4x+22 = 4*14+22 = 56+22 = 78
Simplify the following expression by using these values:
m = −6; n = 2; p = 4
[tex]-3m^{2}[/tex]+4n-p
Hi there!
Given the expression below:-
[tex] \large{ - 3 {m}^{2} + 4n - p}[/tex]
We are also given these three values below:
m = -6n = 2p = 4Simply substitute these values in:-
[tex] \large{ - 3 {( - 6)}^{2} + 4(2) - 4}[/tex]
Any negative numbers squared would result in positive.
[tex] \large{ - 3(36) + 8 - 4} \\ \large{ - 108 + 4} \\ \large \boxed{ - 104}[/tex]
Hence, the answer is -104 when substituting values in the expression.
Let me know if you have any questions!
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-3m}\mathsf{^2}\large\textsf{ + 4n - p}\\\large\textsf{= -3(-6)}\mathsf{^2}\large\textsf{ + 4(2) - 4}\\\\\large\textsf{(-6)}^2\\\large\textsf{= (-6)(-6)}\\\large\textsf{= \bf 36}\\\\\large\textsf{= -3(36) + 4(2) - 4}\\\\\large\text{-3(36)}\\\large\textsf{= \bf -108}\\\\\large\textsf{= -108 + 4(2) - 4}\\\\\large\textsf{4(2)}\\\large\textsf{= \bf 8}\\\\\large\textsf{= -108 + 8 - 4}\\\\\large\textsf{-108 + 8}\\\large\textsf{= \bf -100}\\\\\large\textsf{-100 - 4}\\\large\text{ = \bf -104}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \boxed{\bf -104}}}}\huge\checkmark[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
What is an equation of the line that passes through the points (-1, 6) and
(-1, -5)?
Answer:
x = -1
Step-by-step explanation:
Because the line passes through two points that both have the same x value, this means the line is vertical, and the slope is undefined.
So the equation of the line is x = -1.
Which of the following graphs is the same as y = log12X?
Answer:
Step-by-step explanation:
Maggie's brother is 6 years younger than four times her age. The sum of their ages is
59.
How old is Maggie?
Maggie is
years old.
Answer:
Maggie is 11 years old
Step-by-step explanation:
let m be Maggie and b be her brother.
[tex]m+b=59[/tex]
[tex]b=4m-6[/tex]
substitute for b.
[tex]m+4m-6=59[/tex]
[tex]5m-6=59[/tex]
add 6 to both sides
[tex]5m=55[/tex]
divide by 5 on both sides
[tex]m=11[/tex]
double check by finding the brother's age by substituting for m
[tex]11+b=59[/tex]
[tex]b=48[/tex]
Next question
lets keep going
Answer:
U = 67.6 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos U = adj side / hypotenuse
cos U = sqrt(10)/ sqrt(69)
cos U = sqrt(10/69)
Taking the inverse cos of each side
cos ^-1( cos U) = cos ^-1(sqrt(10/69))
U = 67.62335
To the nearest tenth
U = 67.6 degrees
Step-by-step explanation:
here's the answer to your question
Old machine: 8.2, 8.0, 7.9, 7.9, 8.5, 7.9, 8.1,8.1, 8.2, 7.9
New machine: 8.0, 8.1, 8.0, 8.1, 7.9, 8.0, 7.9, 8.0, 8.1
Use a 0.05 significance level to test the claim that the volumes of Bubbly Beverage filled by the old machine vary more than the volumes of juice filled by the new machine.
Answer:
We Reject the Null, H0 and conclude that the volume of juice filled by old machine varies more than volume filled by new machine
Step-by-step explanation:
Given the data:
Old machine: 8.2, 8.0, 7.9, 7.9, 8.5, 7.9, 8.1,8.1, 8.2, 7.9
Sample size, n = 10
Using calculator :
s1² = 0.37889.
New machine: 8.0, 8.1, 8.0, 8.1, 7.9, 8.0, 7.9, 8.0, 8.1
Sample size, n = 9
s2² = 0.006111
Hypothesis :
H0 : s1² = s2²
H1 : s1² > s2²
New machine :
s2² = 0.006111 ; n = 9
Using the Ftest :
Ftest statistic = larger sample variance / smaller sample variance
Ftest statistic = 0.37889 / 0.006111
Ftest statistic = 62.0
Decision region :
Reject H0 ; If Test statistic > Critical value
The FCritical value at 0.05
DFnumerator = 10 - 1 = 9
DFdenominator = 9 - 1 = 8
Fcritical(0.05, 9, 8) = 3.388
Since 62 > 3.388 ; Reject H0 and conclude that volume filled by old machine varies more than volume filled by new machine
The acute angle of the right angle triangle are in the ratio of 4:5
Answer:
Since the triangle is a right angled triangle, one of the angles is 90°. In the right angled triangle, the acute angles are in the ratio 4:5. Let the measures of the acute angles of the triangle in degrees be 4k and 5k, where k is a constant.
Step-by-step explanation:
hope it helps.
Answer:
40and50
Step-by-step explanation:
let the acute angles be 4x and 5x then,
4x+5x+90=180 [sum of all angles of a right angled triangle]
or,9x=180-90
or,x=90/9
x=10
4x=4×10=40
5x=5×10=50
what us 10 to the power of two
the answer is
10² ( ten square )
step by step :
10² = 10 × 10
= 100
Answer: 100
Step-by-step explanation: 10*10=100
Choose all the numbers that are multiples of 2.
A 18
B. 21
C. 34
D. 45
E 50
F. 67
G. 83
Answer:
18 , 34and 50 are multiples of 2
Step-by-step explanation:
2×9=18
17×2=34
25×2=50
Answer:
A,C,E
Step-by-step explanation:
A,9×2=18
C,17×2=34
E,25×2=50
Your small business spent $40 on food and another $60 on materials. Then, you sold an item for $120, but you had to pay a $90 service fee. Finally, you were given a refund from the Internal Revenue Service (IRS) for $70. If the expression describing these transactions is the following, then how does it evaluate?
Answer:
40$+60$=100$ spent
120$sold
90$ payed
70$ refund
120 (sold) -90 (payed) =30+70 (refund) =100$ (profit)
Step-by-step explanation:
You spent 100$
And you sold and got 120 but you payed 90$ from 120$ money left is 30$
Then they refunded you (pay back the money (give you the money ))
So the money that your left with is 30$ and the refund money is 70$
So add the money that your left with is gives you 100$
Robert owns two dogs. Each day, one dog eats
1/6 of a scoop of dog food and the other dog eats br
1/6 of a scoop. Together, how much dog food do
the two dogs eat each day? Write in simplest
form.
Answer:
1/3
Step-by-step explanation:
1) 1/6+1/6= 2/6
2) 2 and 6 can both be divide be 2.
2/2=1 and 6/2=3
solve for x please help!
Answer:
x = -1/4
Step-by-step explanation:
-4(-5x-3) = 7
Distribute
20x +12 = 7
Subtract 12 from each side
20x+12-12 = 7-12
20x = -5
Divide by 20
20x/20 = -5/20
x = -1/4
Can someone help me out
Answer:
236m^2
Step-by-step explanation:
8x5=40x2=80
6x5=30x2=60
6x8=48x2=96
80+60+96=236
Which equation has the same solution as 10(x) - x + 5 = 41
Step-by-step explanation:
if that is truly the full problem description, then we have
10x - x + 5 = 41
=>
9x = 36
our simply
x = 4
so, I am not sure, what your teacher wants to see as result.
there is an infinite number of equations I could find, all with the solution x = 4.
A parallelogram is made up of a rectangle with a base of 12 centimeters (cm) and a height of 5 cm, and two triangles, each with a base of 2 cm and height of 5 cm. Jeremy calculates the area of the parallelogram by multiplying the base and height of the rectangle to get 60 cm2.
Is Jeremy's answer correct? Why or why not?
Select the option that correctly answers both questions.
No, he forgot to multiply by 12 when calculating the area of the rectangle.
Yes, he correctly calculated the area of the parallelogram as b⋅h.
No, he forgot to add the area of the triangles to the area of the rectangle.
Yes, he correctly calculated the area of the parallelogram as 12bh.
PLEASE HELP i’ll give brainliest to best and correct answer
Step-by-step explanation:
|- 9| + |- 3|
9 + 3
12
I hope this answers your question
(7 points) for the given diagram, it is known that e is the midpoint of ad and bc. use this information to prove that triangle aec= triangle deb. each congruence or ewuality and statement must be accompanied by a reason
PLS HELP
Given:
E is the midpoint of AD and BC.
To prove:
[tex]\Delta AEC\cong DEB[/tex]
Proof:
Statement Reason
1. E is the midpoint of AD and BC 1. Given
2. [tex]AE\cong DE[/tex] 2. Definition of midpoint
3. [tex]CE\cong BE[/tex] 3. Definition of midpoint
4. [tex]\angle AEC\cong \angle DEB[/tex] 4. Vertically opposite angle
5. [tex]\triangle AEC\cong \triangle DEB[/tex] 5. SAS congruence postulate
Hence proved.
How many solutions does the nonlinear system of equations graphed below have?
A. Four
B. Two
C. One
D. Zero
Answer:
Option (A)
Step-by-step explanation:
Solution of two functions represented by the graph are the common points or point of intersection of the graphs.
From the graph attached,
Parabola and ellipse are intersecting each other at four points.
Therefore, solutions of the given non linear functions will be FOUR.
Option (A) will be the correct option.
Find the missing ? Step by step need it
Answer:
30 degrees
Step-by-step explanation:
Use the Tan formula.
Find the least whole number that can replace
to make the statement true.
110< =47
Answer:
it is false
Step-by-step explanation:i cant explain but trust
Find the perimeter of the image below
the x coordinates of the point where 2y-x=10 intersect the line y=3x
Answer:
5
Step-by-step explanation:
2y=10+x
y=3x
Equalizing both sides:
10+x=3x
10=3x-x
10=2x
x=5
You have $90,000 in cash. You can deposit it today in a mutual fund earning 7.5
percent semiannually; or you can wait, enjoy some of it, and invest $12,000 in your
brother's business after two years. Your brother is promising you a return of at least 12
percent on your investment. Whichever alternative you choose, you will need to cash
in at the end of 8 years. Assume your brother is trustworthy and that both investments
carry the same risk. Which one will you choose?
I will go to the Bahamas instead and think about later
If the Miller's spend $1200 on housing each month, then what is their total monthly budget?
Answer:
2400$
Step-by-step explanation:
Miller's Family spends 50% of their budget on housing and we know that they spent 1200$ this month, so 1200$*2 = 2400$.
Have a nice day! :-)
how many number of three different digit less than 500 can be formed from the integer 123456
Answer:
80 numbers
Step-by-step explanation:
(6 - 2(because when the hundreds is 5 or 6, it will higher than 500)) x 5 x 4 = 80
5 năm trước tổng số tuổi của hai mẹ con là 55 tuổi. Hiện nay tuổi con bằng 4/9 lần tuổi mẹ. Tính số tuổi của mẹ và tuổi con hiện nay?
Answer:
12
Step-by-step explanation:
12
I need help ASAP ????!!!!
Answer:
Step-by-step explanation:
Amplitude 2
wave height 4
trough 5
crest 3
wave length 1
