Answer: [tex]103,108[/tex]
Step-by-step explanation:
Given
There are total of 211 coins
The worth of the coins is [tex]\$37.30[/tex]
Suppose there are x dimes and y quarters
A dime is equivalent to 10 cents and quarter is equivalent to 25 cents
[tex]\therefore x+y=211\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=37.30\\\Rightarrow x+2.5y=373\quad \ldots(ii)[/tex]
Solving (i) and (ii) we get
[tex]x=103,y=108[/tex]
Therefore, student collects 103 dimes and 108 quarters.
Si a los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectangulo es 440m .Encontrar el lado del cuadrado inicial
Answer:
El lado del cuadrado inicial es 17 m.
Step-by-step explanation:
El área de un rectángulo se calcula a partir de los dos lados diferentes. Siendo a y b el valor de ambos lados, el área de la figura es el producto de los dos lados contiguos del rectángulo.
A los lados de un cuadrado se le aumenta en 3 y 5 m respectivamente la superficie del nuevo rectángulo es 440 m². Siendo x el lado del cuadrado inicial, entonces el área del rectángulo se puede expresar como:
(x+3)*(x+5)= 440 m²
Resolviendo:
x*x + 5*x + 3*X + 3*5= 440
x² + 8*x + 15=440
x² + 8*x + 15 -440= 0
x² + 8*x -425= 0
Una función cuadrática de la forma a*x² + b*x + c= 0 se puede resolver mediante la expresión:
[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
En este caso, a=1, b=8 y c=425. Reemplazando:
[tex]\frac{-8+-\sqrt{8^{2}-4*1*(-425) } }{2*1}[/tex]
Resolviendo:
[tex]\frac{-8+\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8+\sqrt{64+1700} }{2*1}= \frac{-8+\sqrt{1764 } }{2}= \frac{-8+42 }{2}= \frac{34}{2} = 17[/tex]
y
[tex]\frac{-8-\sqrt{8^{2}-4*1*(-425) } }{2*1}= \frac{-8-\sqrt{64+1700} }{2*1}= \frac{-8-\sqrt{1764 } }{2}= \frac{-8-42 }{2}= \frac{-50}{2} = -25[/tex]
Como las longitudes no pueden ser negativas, el lado del cuadrado inicial es 17 m.
Factor 48q + 6 :Example of form: Factor 15a + 10 Answer. 5(3a + 2)
Answer:
=6 times 8q+6
=6(8q+1)
Step-by-step explanation:
Solve for x. Choose the best answer.
Answer:
x = 15
Step-by-step explanation:
cross multiply -->
8x = 120 *divide by 8 on both sides*
x = 15
CHECK:
5/8 + 15/24
multiply by 3 to get the second fraction
Answer:
x=15
Step-by-step explanation:
express Rs 1.50 as a percentage of 200 cents
1 $ = 100 cents
1.5 $ = 150 cents
1.50 $ a percentage of 200 cents = (150/200)100= 75%
Turn this percent into a decimal: 0.04%
Answer:
0.04
Step-by-step explanation:
4. At what temperature will the average speed of oxygen molecule be sufficient so as to escape from the earth? [escape velocity from the earth is 11.2km/s and mass of one oxygen molecules is 5.34×10-26 gm/molecule and Kg = 1.38 x 10-23J/K]
Evaluate (2.4 x 10^4) (4.5 x 10^3)
Plss help!
Answer:
Step-by-step explanation:
2.4*10^4*10^3*4.5
=10.8*10^4+3
=10.8*10^8
=10.8*100000000
=1080000000
Pls do it for me thank you so much
Answer:
(a) Attached to this response.
(b)
(i) 0 cups = 0.275
(ii) 4 cups = 0.125
(iii) 8 cups = 0.025
Step-by-step explanation:
(a) The frequency and relative frequency table has been attached to this response.
i. The first column, labelled x, is the number of cups of coffee consumed per day.
ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.
For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.
iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).
For example, the relative frequency of 2 cups of coffee is given by:
r = 7 ÷ 40 = 0.175
Also, the relative frequency of 4 cups of coffee is given by;
r = 5 ÷ 40 = 0.125
(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;
Pₓ = frequency of x ÷ total frequency
This is also the relative frequency of x
Therefore,
(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;
the relative frequency of 0 = 0.275
(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;
the relative frequency of 4 = 0.125
(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;
the relative frequency of 8 = 0.025
Jasmine bought a new IPhone for $1000. The value of the phone depreciates 10% each year. What will the phone be worth after 4 years?
Answer:
$ 656.1
Step-by-step explanation:
a = 1000(1 - .1)^4
a = 1000(.9)^4
a = 656.1
Which expressions are equivalent to -3. + 6y + 70 - 14?
Select all correct answers
A-10.x - 14
B. 2(2x + 3y - 7)
C. 4. - 6y + 14
D. 4. + 6y - 14
E 10x + 6y - 14
Answer:
I am guessing C
Step-by-step explanation:
Math question pre algebra
Answer:
Option B
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
By substituting the values in the given expression,
7² = x² + 2²
49 = x² + 4
x² = 49 - 4
x² = 45
x = √45
x = 3√5
x = 6.7 ft
Option B will be the correct option.
Hikers set up camp at 5,200 feet on
Guadalupe Peak. They plan to reach
the summit at 8,750 feet by hiking
equal distances cach day for the
next 5 days. Which number line
represents the distance, in feet, they
must hike each day to reach the
summit?
Answer:
710 ft
Step-by-step explanation:
8750 - 5200 = 3550
3550 / 5 = 710
54,372,000,000,000 in scientific notation
Answer:
5.4372 x 10 to the 5th power
Step-by-step explanation:
Answer:
[tex]5.4372*10^{13}[/tex]
Step-by-step explanation:
Write the equation of the line that is parallel to y =- 2x + 5 and goes through the point (2, -3)
Answer:
y = -2x + 1
Step-by-step explanation:
Parallel lines are two lines that have the same plane and slope but never intersect.
No links!!!
Will give brainliest and please don’t guess
Answer:
You were so worried about somebody guessing
you forgot to ask a question!
Step-by-step explanation:
I’ll mark as brainliest.
Answer:
7 + 7 = 14(given lengths)
34(total length) - 14(given length) = 20
20 divided by 2(2 missing slots) = 10
Answer:
10 in
Step-by-step explanation:
formula for perimeter:2 (l + b)
perimeter=34 in
2 ( l + 7 ) = 34
2l + 14 = 34
2l = 34 - 14
l = 20 ÷ 2
l = 10 in
Between 06 00 and 10 00,the same day, the volume of water in a reservoir decreased from 24 000 L to 18 000 L. What was the average rate of decrease in volume of water, giving your answer in L/h ?
Answer:
Step-by-step explanation:
Given,
Time taken (t) = 10 - 6 = 4hrs
Water decreased (V) = 24000l - 18000l = 6000l
Now,
average rate of decrase (Avg) = V/t = 6000l/4 =1500 L/h
1) A searchlight is mounted on the front of a search and rescue helicopter. The pilot is
flying the helicopter 150 m above the ground and the centre of the searchlight is angled
down at an angle of 70 degrees from the horizontal. The beam spreads out by 2.5
degrees to either side of the centre of the beam. How wide an area does the beam
illuminate on the ground?
I
I need it today please
1.) A butterfly can fly 82 feet in four seconds and a dragonfly can fly 50 feet in two seconds. Which can fly faster and by how much? *
1 point
The dragonfly is 4.5 feet per second faster.
The butterfly is 4.5 feet per second faster.
The dragonfly is 20.5 feet per second faster.
The butterfly is 32 feet per second faster.
Answer:
The dragonfly is 20.5 feet per second faster
Step-by-step explanation:
Answer:
A. The dragonfly is 4.5 feet per second faster.Step-by-step explanation:
Speed of butterfly:
82/4 = 20.5 ft/secSpeed of dragonfly:
50/2 = 25 ft/secThe difference:
25 - 20.5 = 4.5 ft/secCorrect choice is A
what is the answer of this question
Answer:
[tex]\frac{7^2 * 7^{3} * z^5}{z^3 * 10}\\\\= \frac{7^5 * z^2}{10}\\\\= \frac{16805z^2}{10}[/tex]
I'm not sure if it's correct
If 4 + x = −3 + 2x, then 9x =_____?
Answer:
4+x=-3+2x
4+3=2x-x
7=x
9x=9*7
=63
Step-by-step explanation:
Answer:
[tex]4 + x = - 3 + 2x \\ x - 2x = - 3 - 4 \\ - x = - 7 \\ x = 7 \\ therefore = \\ 9x = 9 \times 7 \\ 9x = 63 \\ i \: hope \: this \: was \: helpful [/tex]
find the zeros of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients
[tex]4x ^{2} + 8x[/tex]
Answer:
Zeros would be x= 0, -2
Step-by-step explanation:
hope this helps :)
What type of slope does the line y = -3 have?
negative
zero
undefined
positive
Answer:
zero
Step-by-step explanation:
y = - 3 is a horizontal line parallel to the x- axis.
Since it is parallel to the x- axis it has a slope of zero
Answer:
zero
Step-by-step explanation:
Perform the indicated operation.
g(t) =t+2, f (t) = −3t^3– 1
Find: (g o f)(-4)
Hi there!
[tex]\large\boxed{g(f(t))(-4) = 193}[/tex]
Find g(f(t))(-4) by substituting in f(t) for t into g(t):
g(f(t))(t) = (-3t³ - 1) + 2
Simplify:
g(f(t))(t) = -3t³ + 1
Substitute in -4 for t:
g(f(t))(-4) = -3(-4)³ + 1 = 193
From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?
None of these
49/50
-1/2y
-2y
Answer:
-1/2y
Step-by-step explanation:
2/4 = 1/2
x^2+3x−10=0 (solve for x)
Answer:
x1=2 x2=-5
Step-by-step explanation:
4(3x + 2) - 5(6x - 1) = 2(x-8) - 6(7x - 4)
Answer:
12x+8-30x+5=2x-16-42x+24
-18x+13=-40x+8
22x=-5
x=-5/22
hopefully i did it with out mistakes
One pot has a water height of 8cm. Calculate the water pressure at the bottom of the pot. They give g = 10N / kg p = 1000kg / m3
We are given:
Depth of water column = 8 cm
g = 10 N/kg and ρ (density) = 1000 kg / m³
Finding the pressure at the bottom:
We know that the formula for pressure at the bottom of a fluid is:
P = P₀ + hρg [where P₀ is the atmospheric pressure]
P = P₀ + (0.08 m) (1000 kg / m³) (10 m / s²)
P = P₀ + 800 N/m²
we know that the atmospheric pressure, in N/m² is approximately 10⁵
P = (10⁵ + 800) N/m² [N/m² is also commonly called 'Pascals']
which means that at the bottom of the water column, the pressure is 800 Pascals more than what it normally is
What is the average rate of change of the function y = cos(x) over the interval [0,2]?
Answer:
-0.708073 this is the exact answer im not sure if they want you to round or not
Step-by-step explanation:
hey! i’ll give brainliest please help
Answer:
C
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
E represents the number of moths initially with the darkest wing colour, and the number of these will increase if the moth's predator (hawks) finds it more difficult to locate them, as the moths with the darkest colour wings will be more likely to survive to reproduce so will increase in number (natural selection).
Hope this helps!