Answer:
she has 12 - D quarters.
She has 24 (12-D) cents in quarters
Step-by-step explanation:
You know that the number of coins, and you know the number of dimes - even if the amount is a variable - you can find the amount of quarters with an equation.
If you knew that Lina had 6 dimes instead of D, you would say 12 - 6 and get the number of quarters. You can do the same thing here.
and If you know Lina has 6 quarters, you could find the amount of money in cents by multiplying 6 by 25. You can do that here too, but with variables and an equation.
Answer:
she has 12 - D quarters.
Step-by-step explanation:
A clothing store owner decided to track customers' reasons for returning items. She found that 9% of customers do not provide a reason, 29% say the item did not fit, 13% find a flaw with the item and 4% changed their mind about the purchase. The remaining customers returns gifts purchased for them. What is the probability that out of 40 returns on a given day, 20 are gifts that are being returned?
Answer:
0.102542
Step-by-step explanation:
Given that 9% of customers do not provide a reason, 29% say the item did not fit, 13% find a flaw with the item, and 4% changed their mind about the purchase.
So, the total percentage of items returned due to no reason, unfit, flaw, and due to changing mind
=9%+29%+13%+4%=55%
As the remaining customers returned gifts purchased for them, so, the percentage of customers who returned gifts =100-55=45%.
So, the fraction of customers who returned gifts=45/100=0.45.
Now, observe that if 1 item returned, there is a chance of 0.45 that the item is a gift.
Moreover, there are only two possibilities for any idem, i.e the idem was a gift or not a gift, so the number of total returned items can be considered a Bernoulli's population.
Let p be the probability of a returned item which is the same for all the returned items,
p=0.45
So, according to Bernoulli's theorem, the probability that out of n=40 returns on a given day, r=20 are gifts is
[tex]\binom{n}{r}p^r(1-p)^{n-r}=\binom{40}{20}(0.45)^{20}(1-0.45)^{40-20}[/tex]
[tex]=0.102542[/tex]
Hence, the probability that 20 returned items are gifts among the total 40 returned items is 0.102542.
How many solutions and what type of solutions does a quadratic equation have if the value of the discriminant is a positive perfect
square?
2 rational solutions
2 irrational solutions
1 rational solution
O real solutions
Answer:
2 rational solutions
Step-by-step explanation:
the degree of the polynomial (the highest exponent of the variable) defines how many solutions there are.
that means for how many values of x the result y is 0 (how many x-axis interceptions there are or should be).
so, a quadratic equation has 2 such solutions.
there are a few different cases how these solutions present themselves :
"normal case" : all the solutions are real (not only rational) numbers, and the curve has that many different x- acid interceptions.
a turn of the curve leads to only "touching" the x-axis : this is just a special case that the curve is "too high" or "too low" and the regular 2 intersects merge into 1. there are formally still 2 solutions, but they are identical.
there can be "S-curves" especially for higher degrees (3 and up) with the center smoothing in with the x-axis : this is similar but can merge even more than 2 solutions into 1.
the curve is really "too high" or "too low" and never even touches the x-axis : then the solutions are irrational.
the general solution for a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
the discriminate is (b² - 4ac).
if this is a positive perfect square, then the square root is a perfect integer. in fact, 2 perfect integers (+ and -).
and so we get two solutions with integer/integer and they are therefore 2 rational solutions.
5x50 please help me please
Answer:
250
Step-by-step explanation:
add all numbers which gives the number
find f(-1) with the graph
we can see the point ( - 1 ; - 2) on the line
so
f(-1) = - 2
as a point is ( x ; f(x) )
Answer:
f(-1) = -2
Step-by-step explanation:
f(-1) means find the value at x = -1
The y value at x=-1 is -2
f(-1) = -2
A school raises 0. 5 pound bags of nutsThey buy: 30 pounds of cashews15 pounds of almonds5 pounds of peanutsHow many 0. 5 pound bags can they make?
Answer:
100 bags
Step-by-step explanation:
Simply add 30 + 15 + 5 and we get 50
Next divide 50 by the amount of lbs we want 50/0.5 = 100
There were 1,000 gold coins in the treasure
chest. Each pirate received 5% of the loot.
How many gold coins did each pirate get?
Answer:
50 gold coins
Step-by-step explanation:
5%=5/100
therefore 5% of 1000
=5%×1000
=5/100×1000
final answer would be 50 coins...
HURRY I NEED HELP!!!!!!
What are the slope and the y-intercept of the linear function that is represented by the table?
x. y
-3/4. -1/30
-1/2. -2/15
1/4. -13/30
2/3. -3/5
a. the slope is -2/5 and the y intercept is -1/3
b.the slope is -1/3 and the y intercept is -2/5
c.the slope is 1/3 and the y intercept is -2/5
d.the slope is 2/5 and the y intercept is -1/3
Answer: a. the slope is -2/5 and the y-intercept is -1/3
Step-by-step explanation:
Find the slope by finding the difference in x-values divided by the difference in y-values
(1/4 ,-13/30) and (-3/4, -1/30) are useful values
-13/30 --1/30 = -12/30 = -2/5 is the rise
-1/4 - -3/4 = 1 is the run (-2/5)/1 Division by 1 leaves the original numerator)
the slope is -2/5
To find the y intrcept, substitute the y and x values from any given coordinate into the slope intercept form and solve for b
y= mx + b
-3/5 = (-2/5)(2/3) + b
-9/15 + 4/15 = b
-5/15 = b
-1/3 = b This is the y-intercept
Screenshot below of graph illustrates this solution
If h(x) is the inverse of f(x), what is the value of h(f(x))? 0 1 x f(x) a.0 b.1 c.x d.f(x)
Answer:
x
Step-by-step explanation:
The composition of a function and its inverse is x.
Find the area of this trapezoid. Be sure to include the correct unit in your answer.
9 cm
13 cm
5 cm
21 cm
Find the unknown side:
V
u
2.5
85
26
Answer:
u ≈ 5.7
Step-by-step explanation:
Using the Sine rule in Δ TUV, that is
[tex]\frac{t}{sinT}[/tex] = [tex]\frac{u}{sinU}[/tex] , substitute values
[tex]\frac{2.5}{sin26}[/tex] = [tex]\frac{u}{sin85}[/tex] ( cross- multiply )
u × sin26° = 2.5 × sin85° ( divide both sides by sin26° )
u = [tex]\frac{2.5sin85}{sin26}[/tex] ≈ 5.7 ( to 1 dec. place )
Can anyone solve it please
Answer:
please mark me the brainlist
A car uses 15 gallons of gasoline to travel 450 miles.
How far can the car travel on 18 gallons of gasoline?
Answer:
540 miles
Step-by-step explanation:
450/15 = 30
so the car can travel 30 miles per gallon
18*30 = 540
Answer:
540 miles
Step-by-step explanation:
Gallons: 15 18
Miles: 450 x
450 divided by 15 = 30
18 times 30 = 540
Sam ran 10 kilometers in 75 minutes. What is Sam’s rate of speed in kilometers per hour?
Answer:
8 km
Step-by-step explanation: giving that
distance=10km
time=75 minutes =75/60 hours
15/12=5/4 hours
speed=disance=10km
time = 5/4hours
=40/5km/hours
=8km/hours
If 1 foot ≈ 0.305 meter, approximately how many feet are in 8 meters? Round to the nearest tenth, if necessary.
Answer:
26.22 foot
Step-by-step explanation:
The relation between foot and meter is given by :
1 foot = 0.305 meter
We firstly find value of 1 meter in terms of foot.
So,
[tex]1\ m=\dfrac{1}{0.305 }\ \text{foot}[/tex]
To find no of foot in 8 meters, multiply [tex]\dfrac{1}{0.305 }[/tex] by 8 i.e.
[tex]8\ m=\dfrac{1}{0.305 }\times 8\ m\\\\=26.22\ \text{foot}[/tex]
So, there are 26.22 foot in 8 meters.
EJERCICIOS: Resuelvan los problemas aplicando regla de tres en conversion de metros a varas A) Una mesa cuadrada mide 1.85 M de lado ¿ cuantas varas debe tener cada tabla de largo para fabricarla? B) Jose tiene un lote de 25 M de largo y 15 M de ancho ¿cuantas varas cuadradas tiene el terreno? Por favor ayuda es para ahorita si mo saben no contesten ok por favor gracias
Answer:
A) Se requiere una tabla con una longitud de 2.213 varas para fabricar la mesa.
B) El lote de José tiene una extensión de 536.481 varas cuadradas.
Step-by-step explanation:
A) La vara es una unidad de longitud equivalente a 0.836 metros. También sabemos que un cuadrado es una figura geométrica con cuatro lados de igual longitud y cuatro ángulos rectos, de modo que la longitud y ancho de la mesa es igual. Entonces, el largo de la tabla, esto es, la superficie superior de la mesa, tiene una medida de 1.85 metros.
A continuación, realizamos la regla de tres para determinar su equivalente en varas:
[tex]x = 1.85\,m\times\frac{1\,vara}{0.836\,m}[/tex]
[tex]x = 2.213\,varas[/tex]
Se requiere una tabla con una longitud de 2.213 varas para fabricar la mesa.
B) La vara es una unidad de longitud equivalente a 0.836 metros. Una vara cuadrada es una unidad de área y es igual a:
[tex]r = (0.836\,m)\cdot (0.836\,m)[/tex]
[tex]r = 0.699\,m^{2}[/tex]
De manera semejante, tenemos que el área del lote de Jose es un rectángulo y que se calcula como sigue en metros cuadrados:
[tex]A = l\cdot w[/tex] (Eq. 1)
Donde:
[tex]A[/tex] - Área del lote de José, medido en metros cuadrados.
[tex]l[/tex] - Largo del lote de José, medido en metros cuadrados.
[tex]w[/tex] - Ancho del lote de José, medido en metros cuadrados.
Si [tex]l = 25\,m[/tex] y [tex]w = 15\,m[/tex], entonces el área del lote es:
[tex]A = (25\,m)\cdot (15\,m)[/tex]
[tex]A = 375\,m^{2}[/tex]
Por último, hallamos el área en varas cuadradas mediante la siguiente regla de tres:
[tex]x = 375\,m^{2}\times \frac{1\,vara}{0.699\,m^{2}}[/tex]
[tex]x = 536.481\,varas^{2}[/tex]
El lote de José tiene una extensión de 536.481 varas cuadradas.
Write an equation in point-slope form of the line that passes through the given point and has the given slope. (12, 5); m = -3
Answer:
y - 5 = -3(x - 12)
Step-by-step explanation:
Point slope form is: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.
Plug in the point and the slope:
y - y1 = m(x - x1)
y - 5 = -3(x - 12)
So, y - 5 = -3(x - 12) is the equation in point slope form of the line.
Answer:
y-5 = -3(x-12)
Step-by-step explanation:
In the formula for average rate of change, what does the triangle in front of the x and y stand for?
interval between x and y
c. delta notation change in yover change in x
b
initial value of x and y
d. the percent rate of change of y and x
a
Please select the best answer from the choices provided
A
B
С
D
The triangle represents delta notation change in y over change in x. the correct option is C.
What is the rate of change?The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.
The average rate of change is calculated by the formula,
Rate of change = Δy / Δx
Here, the triangle represents the rate of change of the y coordinate with respect to the rate of change of the x coordinate.
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The sum of 3 consecutive integers is 48. What is the smallest of the integers?
Answer:
15
Step-by-step explanation:
x+(x+1)+(x+2)= 48
=)3x+3=48
=)3x=45
X=15
The smallest of the integers would be 15.
What are the consecutive numbers?The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.
Given that the sum of 3 consecutive integers is 48.
We need to find the smallest of the integers.
Let assume the 3 consecutive integers are x, (x+1) and (x+2)
Therefore, x+(x+1)+(x+2)= 48
Combine the like terms;
3x+3=48
3x=45
X=15
Hence, the smallest of the integers would be 15.
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hellppp pleaseeeeeee
Answer:
a. All sides are the same length
a. 60 degree for each angle
b. Parallelogram, rhombus
c. trapezoid
The function j(x) = 67x represents the number of jumping jacks j(x) you can do in x minutes. How many
jumping jacks can you do in 15 minutes?
Write an equation for a line through (-2,4) with m= -4 in standard form.
A)4x + y = - 4
B)4x - y = - 4
C)-4x - y = 4
D)-4x + y = - 4
Answer:
4x+y=-4
Step-by-step explanation:
gradient(m)=y2-y1/x2-x1
the line also passes through points (x,y) and (-2,4)
-4=4-y/-2-x
cross multiplying
8+4x=4-y
option(A):4x+y=-4
is your answer.
What is a fraction that is halfway in between 1/5 and 1/6?
I REALLY NEED HELP
Answer:
Step-by-step explanation:
Let's find the LCM of 5 and 6. 5x6 is 30. So 1/5 times 6 to both numerator and denominator is 6/30. 1/6 is slightly different. 30 is 5 times 6. So 1/6 times 5 to both denominator and numerator is 5/30. Since 6/30 and 5/30 does not have a halfway point, let's multiply both by 2. It is 10/60 and 12/60. Midway point is 12+10/2 which is 11/60.
Answer:11/15
1/5+1/6=11/30
11/30 /2=11/15
11/15
Step-by-step explanation:
Taj asked 27 classmates whether they know how to write calligraphy. He used a calculator to compare the number of classmates who said yes to the total number he surveyed. The calculator showed the result as 0.111111111. How many students know how to write calligraphy?
Answer:
3 classmates
Step-by-step explanation:
1/9 = 0.111111...
27 x 1/9 = 3
what is the highest common factor of 264627 and 305613
Answer:
3?
Step-by-step explanation:
3(264621(305613
8829. (101871
The Highest Common Factor of 264627 and 305613 is 891.
What is Highest Common Factor?The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one.
For example, 8 and 12 have common factors of 1, 2 and 4. The highest common factor is 4.
Given:
264627 and 305613
Now, prime factorizing both number
264627 = 3 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 11
and, 305613 = 3 x 3 x 3 x 3 x 7 x 7 x 7 x 11
So, the common factors are 3 x 3 x 3 x 3 x 11 = 891
Hence, the HCF is 891.
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pls answer the attachment below
Answer:
Direct
Step-by-step explanation:
16/4 = 4
100/25 = 4
4 = 4
Please Help!!!!!!!!!!!!!!!!
Answer: ( D) 998 is the greatest three digit positive integer
Step-by-step explanation: Your welcome.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
208, 204,200,...
Find the 45th term.
Step-by-step explanation:
please mark me as brainlest
Answer: 32
Step-by-step explanation:
This is an example of an arithmetic sequence as the difference between the first 3 terms is constant. We can see that 4 is constantly being subtracted.
[tex]a_{n}=a+(n-1)d[/tex] is the formula for an arithmetic sequence.
[tex]a_{n}[/tex] = nth term
a = the first term in the sequence
n = term you are looking for (in this case 45)
d = common difference between the terms (in this case -4)
∴
[tex]a_{n}=a+(n-1)d[/tex]
[tex]a_{45} =208+(45-1)(-4)\\a_{45}=32[/tex]
What is the diameter of a circle if the circumference is 18.84 ?
Answer:
6
Step-by-step explanation:
Freddy is preparing for a Halloween party. The decorations cost $55 and it will cost $15 per person for food.
Chucky has $200 to spend. Does he have enough money to invite 10 people?
Write an equation or inequality to represent the situation. You must show your work for credit.
Answer:
he will have enough money for thirteen people
Step-by-step explanation:
because $15*13 people =$195 . he will have extra $5 dollars to go home
Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance. his card has an apr of 11.45%, compounded monthly. at the beginning of may, greg had a balance of $318.97 on his credit card. the following table shows his credit card purchases over the next few months. month cost ($) may 46.96 may 33.51 may 26.99 june 97.24 june 112.57 july 72.45 july 41.14 july 101.84 if greg makes only the minimum monthly payment in may, june, and july, what will his total balance be after he makes the monthly payment for july? (assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. round all dollar values to the nearest cent.) a. $812.86 b. $830.31 c. $864.99 d. $1,039.72 please select the best answer from the choices provided a b c d
The total balance of Greg account after he makes the monthly payment for July is $864.99.
How to find monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
It can be calculated with the following formula.
[tex]M=P\left(1-\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]
Here, (P) is the principal amount, (r) is the interest rate and (t) is time.
Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance.
His card has an apr of 11.45%, compounded monthly. At the beginning of May, Greg had a balance of $318.97 on his credit card.
In the Month of May he make payment of 46.96, 33.51, and 26.99. Greg had a balance of $318.97 on his credit card. The total balance after the end of may is,
[tex]P=46.96+33.51+26.99+318.97\\P=426.43[/tex]
The financial charge on this payment with Apr 11.45% is 4.07. Thus, the payment become 430.5.
The payment for the June 97.24, 112.57,72.45. The payment at the end of June is 719.56 and financial charge is 10.22.
The payment become 722.98. The payment for the June 41.14, 101.84. At the end of July 865.96.
The total balance of Greg account after he makes the monthly payment for July is $864.99.
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