At a scrapbooking party, guests brought a certain number of photographs to use, based on
how many pages they will be assembling. Ellie plans to assemble 4 small pages and 7 large
pages and brought a total of 22 photographs to use. Bridgette brought 30 photographs,
which is enough to assemble 8 small pages and 7 large pages. Assuming that the number of
photographs on a page remains constant, how many photographs fit on a small page and a
large page?
A small page can fit
photographs, and a large one can fit
photographs.
Answer:
A small page can fit 2 photographs, and a large on can fit 2 photographs.
Step-by-step explanation:
Let the number of photographs on the small page be represented by m and that of large one by n.
Since the number of photographs on a page remains constant, then;
4m + 7n = 22 ........... 1
8m + 7n = 30 .......... 2
Multiply equation 1 by 2, and 2 by 1 to have;
8m + 14n = 44 ....... 3
8m + 7n = 30 ......... 4
subtract equation 4 from 3,
7n = 14
n = 2
Substitute the value of n in equation 1
4m + 7(2) = 22
4m + 14 = 22
4m = 8
m = 2
m = 2, n = 2
Therefore, a small page can fit 2 photographs, and a large on can fit 2 photographs so that the number of photographs n a page is constant.
A bank account pays 0.5% monthly interest. If $500 is put in the account, what will the balance be at the end of one year, assuming no additional deposits or withdrawals are made? Do not include units ($) in your answer.
The balance at the end of one years is; $502.5. The equation that that represents the balance in the account is $500 x (1.005)^1
What will be the balance of the account?The amount of money in the bank account would grow at an exponential rate. then the formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value
P = Present value
R = interest rate
N = number of years
We are given that bank account pays 0.5% monthly interest. If $500 is put in the account, it will the balance be at the end of one year,
$500 x (1 + 0.5/100)^1
$500 x (1.005)^1
= $502.5
To learn more about future value, please check: brainly.com/question/18760477
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Answer: $530.84
Step-by-step explanation: The principal is $500 with 0.5% added MONTHLY. One year has 12 months so we must calculate the interest for 12 months.
$500(1.005)^12 = $530.838 which rounds to $530.84
What is the distance of -a and a?
Step-by-step explanation:
Distance = positive value
a + a = 2a
Answer:
I think its 0
Step-by-step explanation:
becuase if you add the same number but on is negative and the other is positve it is always a 0.
Example:
10 + (-10) = 0
3n + 2 + 5 = 4
NEED ASAP
Step-by-step explanation:
given
3n + 2 + 5 = 4
3n + 7 = 4
3n = 4 - 7
3n = - 3
n = - 3 / 3
n = -1
Hope it will help :)❤
If the slope between the points (-5,7) and (4,x) is 1, then
what is the value of x?
9514 1404 393
Answer:
16
Step-by-step explanation:
The equation of a line with slope m=1 through the point (h, k) = (-5, 7) will be ...
y -k = m(x -h)
y -7 = x +5
y = x +12
Then for x = 4, the value of y is ...
y = 4 +12 = 16
The point is (4, x) = (4, 16), so x = 16.
Answer:
16
Step-by-step explanation:
Given that the slope of the line is 1 . And it passes through the points (-5,7) and (4,x) .We know that slope is difference of ordinate by difference of abssica . So that ,
[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies 1 =\dfrac{ 7-x}{-5-4} \\\\\implies 1 \times -9 = 7-x \\\\\implies -9 -7 = -x \\\\\implies \underline{\underline{ x = 16 }}[/tex]
Hence the required answer is 16 .
What type of angles are ∠4 and ∠6?
I’ll mark brainiest
Answer:
angle 4 and angle 6 are ALTERNATE INTERIOR angles
Answer:
alternate interior
Step-by-step explanation:
hope it helps ;)
Floyd Electric is fabricating flanges for a new electrical motor. The flange is to be 25 millimeters in diameter with an upper tolerance limit of 26.5 millimeters and a lower tolerance limit of 23.5 millimeters. Bill Floyd took a sample consisting of ten flanges, measured the diameter and recorded the observations in the table. He has heard discussion of 6 sigma in the business news recently and would like to join the club. What percentage decrease in process standard deviation would be required for Floyd Electric to achieve 6-sigma process capability? Assume that his process mean remains where it is.
A) 36%
B) 40%
C) 46%
D) 58%
This question is incomplete, the missing table is uploaded along this answer below.
Answer:
percentage of age reduction is 40
Option B) 40% is the correct answer
Step-by-step explanation:
Given the data in the question;
from the table in the image below;
sample x = 25.69 , 25.58 , 24.78 , 24.94 , 24.87 , 24.63 , 25.70 , 25.52 , 24.95 , 24.91
mean = ∑x/n
where n is sample size
= (25.69 + 25.58 +24.78 + 24.94 + 24.87 + 24.63 + 25.70 + 25.52 +24.95 ) / 10
= 251.57 / 10
mean u = 25.157
so;
S/N Sample (X) Mean (u) (X-U)²
1 25.69 25.157 0.284089
2 25.58 25.157 0.178929
3 24.78 25.157 0.142129
4 24.94 25.157 0.047089
5 24.87 25.157 0.082369
6 24.63 25.157 0.277729
7 25.7 25.157 0.294849
8 25.52 25.157 0.131769
9 24.95 25.157 0.042849
10 24.91 25.157 0.061009
Total 251.57 1.54281
Mean 25.157
Sample Variance = ∑(x-u)²/n-1 = 1.54281 / (10 - 1) = 1.54281 / 9 = 0.1714
Standard deviation STD1 = √ (variance) = √0.1714 = 0.414
now, for 6-sigma capability, Cpk = 2
Cpk = min of ( USL - mean ) / 3×STD), (Mean - LSL) / 3×STD
since our mean is centered between USL and LSL;
Cpk = ( 26.5 - 25 ) / 3×STD2
we substitute
2 = ( 26.5 - 25 ) / 3×STD2
6STD2 = 1.5
STD2 = 1.5 / 6
STD2 = 0.25
so current standard deviation STD1 = 0.414
required standard deviation for 6-sigma process STD2 = 0.25
so percentage of age reduction will be;
⇒ ( 0.414 - 0.25 ) 0.414 = 0.164 / 0.414 = 0.396 ≈ 0.4
⇒ 0.4 × 100 = 40%
Therefore, percentage of age reduction is 40
Option B) 40% is the correct answer
Claim: Is Juan correct ??
Evidence : Show you work
This is geometryyyy(similarity)
Can you help me plz
How many zeros does the equation x^5 – 11^4+ 7 have?
Answer:
5
Step-by-step explanation:
No. of Zeroes or Roots is equal to the degree of polynomial. Here, the degree of polynomial of the equation is 5. Hence, 5 Zeroes are possible.
Find the amount of time. I = $54, P = $800, r= 4.5% The amount of time is years.
Answer:
1.5 years
Step-by-step explanation:
I = prt
54 = 800(.045)t
54 = 36t
t = 54/36
t = 1.55
Answer:
The amount of time is 1.5 years
f(x) = -22 + x + 14
Find f(2)
Answer:
sln
f(x) =-22+x+14 put 2 in x
f(2)=-22+2+14
f(2) =38
Enter the product as a mixed number
9514 1404 393
Answer:
10 1/5
Step-by-step explanation:
3 × 3 2/5 = 3(3) +3(2/5) = 9 +6/5 = 9 + 1 1/5
= 10 1/5
Write each of the following percents in words. a. 5% b. 34% c. 143% d. 500%
Answer:
5%=Five percent
34%=Thirty four percent
143%=One hundred forty three percent
500%=Five hundred percent
Hope it helps
Have a great day : )
Mark me brainiest if it had helped youThe relationship is “hours multiplied by
equals the number of dogs.”
Answer:
3
Step-by-step explanation:
Answer:
The relationship is “hours multiplied by
3
equals the number of dogs.”
Step-by-step explanation:
ng 20-21
POSSIBLE POINTS: 10
In the school store, you can buy 20 calculators for $120. You want to buy 5 calculators. The table below represents the cost of different numbers of
calculators. Complete the table and explain the mathematical process you used to determine the cost of 5 calculators.
you would spend $30
Step-by-step explanation:
if 20 calculator cost 120 then you would divide 20 by 120 which would give you 6 dollars per calculator then you would multiply that by 5 which would give you a $30 for five calculators.
Answer:
where is the table?
I am just telling you how to get the cost of 5 calculators...
Step-by-step explanation:
Cost of 20 cal.=$120
Cost of 1 cal.=120/20
So,
cost of 5 calculators=
120/20*5
=$30
Hope it helps you
Here is some record-keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. How many paper cups are left at the end of the day on Wednesday?
Answer:
1748
Step-by-step explanation:
Tuesday + Wednesday - Monday
What is the solution of log2x + 6 8 = 3?
Answer:
x=-3
Step-by-step explanation:
log(2x + 6) +8 = 3
Solve this log equation for x
First subtract 8 from both sides
log(2x+6)= -5
Now we convert it into exponential form
If log(x) = a then 10^a = x
log(2x+6)= -5 becomes
subtract 6 from both sides
Now we divide by 2 on both sides
x= -3 approximately
A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 30% of onenight visitors buy a unit, and 20% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? A one-night visit? A two-night visit?
Answer:
0.087 = 8.7% probability that this person made a day visit.
0.652 = 65.2% probability that this person made a one-night visit.
0.261 = 26.1% probability that this person made a two-night visit.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Made a purchase.
Probability of making a purchase:
10% of 20%(day visit)
30% of 50%(one night)
20% of 30%(two night).
So
[tex]p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23[/tex]
How likely is it that this person made a day visit?
Here event B is a day visit.
10% of 20% is the percentage of purchases and day visit. So
[tex]P(A \cap B) = 0.1*0.2 = 0.02[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.23} = 0.087[/tex]
0.087 = 8.7% probability that this person made a day visit.
A one-night visit?
Event B is a one night visit.
The percentage of both(one night visit and purchase) is 30% of 50%. So
[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.23} = 0.652[/tex]
0.652 = 65.2% probability that this person made a one-night visit.
A two-night visit?
Event B is a two night visit.
The percentage of both(two night visit and purchase) is 20% of 30%. So
[tex]P(A \cap B) = 0.2*0.3 = 0.06[/tex]
Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.23} = 0.261[/tex]
0.261 = 26.1% probability that this person made a two-night visit.
Every square is a rhombus.
True
False
Answer:
false
a rhombus only has 4 equilateral sides and a square has 4 equilateral sides and all interior angles are right angles therefore that question is false
carolette is making necklace's in blue and orange her ratio of blue beads to orange beads are 3 to 2 how many beads will carolette need for a necklace of 60 beads
Answer:
Carlotta needs 24 orange beads for her necklace.
Step-by-step explanation:
For each necklace, the ratio of blue beads to orange beads is 3 to 2. or 3:2
Total beads given to make a necklace is = 60
Let the number of orange beads be = x
The ratio is 2 orange beads out of 5 total beads
So, we can represent the ratio as:
x=24
Hence, Carlotta needs 24 orange beads for her necklace.
Blue beads needed =
We can also check the ratio for blue beads to orange beads:
Divide by 4, we get
Divide by 3, we get
...... (the given ratio)
Therefore, Carlotta needs 24 orange beads for her necklace
Twenty-five less than the product of three and ten and five tenths.
Answer:
On the left side is "13", that is the whole number part. There are two digits on the right side, the 7 is in the "tenths" position, and the 6 is the "hundredths" position. So, 13.76 is "13 and 7 tenths and 6 hundredths".
Step-by-step explanation:
Answer:
3 x 10 x .5 - 25
Step-by-step explanation:
Is your expression
the sum of the ages of tracy and her mother is 60 if tracys present age is y years write a linear expression for her mothers age after 5 years
Answer:
Step-by-step explanation:
m = 60-y
m+5 = 65-y
PLZZZ HELP ME I DON'T GET THIS
For which Inequality would x= 4.5 not be a solution?
12-28
O8x+5>0
9x-5 <80
Ox+62 10
Answer:
12-28
Step-by-step explanation:
State a cubic or quartic function with the least degree possible in intercept form for the given graph. Assume that all x-intercepts are integers, and that the constant factor a is either 1 or −1.
Enter the correct value in the box to answer the question.
y= ?
Answer:
y = [tex]-x^{3} - 2x^{2} + 5x + 6[/tex]
Step-by-step explanation:
The function will be cubic. The x-intercepts are -4, -1, and 2
The constant factor is -1 because the graph falls on the right. So,
y = -(x + 4)(x + 1)(x - 2)
y = -[tex]x^{3} -2x^{2} + 5x +6[/tex]
What is the final value?
Initial value: 170
Increase: 8%
Answer:
183.6
Step-by-step explanation:
170, percentage increased by 8% (percent) of its value = 183.6
Answer:
183.6
Step-by-step explanation:
170 divided by 100 = 1.7 multiplied by 8 = 13.6 + 170 = 183.6
What is the value of x in the following triangle?
Answer:
x=-10/3
Step-by-step explanation:
Answer: x = 17
Step-by-step explanation:
Triangle angle sum theorem states the three interior angles of a triangle sum to 180 degrees. Add all of the angles together and set equal to 180 to solve for x.
(3x)+(6x+10)+x= 180. Combine like terms.
10x + 10= 180. Subtract 10 from both sides.
10x = 170. Divide both sides by 10.
X = 17
I need help on this problem if it's possible can you walk me through how to do it?
Answer:
Just subtract the area of two triangles from the area of the rectangle
Step-by-step explanation:
Answer:
149 ft^2
Step-by-step explanation:
First, figure out the whole square area.
Which is 9 1/4 x 20 = 185
One triangle is 6 x 6 x .5 because the formula of a triangle is A=bh1/2.
Triangle=18
There are two triangles so its 36.
185-36 = 149
Is this helpful? Tell me if you need me to further explain.
al comprar una estufa de 5579 le cobran 9%de su costo extra para llevarlo a domicilio cuanto se pagará en total si la estufa será llevada
Answer:
6081.11
Step-by-step explanation:
Para resolverlo debes usar la regla de 3 simples:
La estufa cuesta $5,579 y te cobrarán el 9% para llevarlo a domicilio para eso realizarás esta operación
5579 = 100%
X = 9%
Ahora debes multiplicar 5579 x 9 = 50211
Ahora debes dividirlo entre 100 50211 ÷ 100 = 502.11 entonces el 9% es $502.11
Para terminar debes sumar el precio de la estufa y lo que cuesta llevarlo a domicilio 5579 + 502.11 = 6081.11
En total pagará $6081.11
1 1/18 + 3 1/18 + 1 2/9 + 1 2/9
Answer:
6.55555555556
Step-by-step explanation:
Answer:
6 10/18 i think
Simplified is 6 5/9
improper fraction is 118/18
Step-by-step explanation: