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.
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 :)❤
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
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
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:
Claim: Is Juan correct ??
Evidence : Show you work
This is geometryyyy(similarity)
Can you help me plz
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 .
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
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.
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
#SPJ1
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 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
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 youcarolette 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
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
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
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
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
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:
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
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 ;)
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
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
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.
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]
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
The 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:
PLZZZ HELP ME I DON'T GET THIS
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
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
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.