Answer:
There are 144 Php 5-coins, 72 Php 10-coins and 130 Php-1 coins
Step-by-step explanation:
The amount of the coins in the coin bank = Php 1,570
The number of Php 5-coins = 2 × The number of Php 10-coins
The number of Php 5 coins = The number of Php 1-coins + 14
Let 'x' represent the number of Php-5 coins, let 'y' represent the number of Php 10-coins, and let 'z' represent the number of Php 1-coins, we get;
x = 2 × y...(1)
x = z + 14...(2)
5·x + 10·y + z = 1,570...(3)
From equation (1) equation (2), and equation three, we have;
y = x/2
z = x - 14
5·x + 10·x/2 + x - 14 = 1,570
11·x - 14 = 1,570
x = (1,570 + 14)/11 = 144
The number of Php 5-coins, x = 144
y = x/2
∴ y = 144/2 = 72
The number of Php 10-coins, y = 72
z = x - 14
∴ z = 144 - 14 = 130
The number of Php 1-coins, z = 130
Given that tangent squared theta = three-eighths, what is the value of secant theta?
A) Plus-or-minus StartRoot eight-thirds EndFraction
B) Plus-or-minus StartRoot eleven-eighths EndFraction
C) Eleven-eighths
D) Eight-thirds
Answer:
B) Plus-or-minus StartRoot eleven-eighths EndFraction
[tex] { \tan }^{2} \theta = \frac{3}{8} \\ but : { \tan }^{2} \theta = { \sec }^{2} \theta - 1 \\ \therefore { \sec}^{2} \theta - 1 = \frac{3}{8} \\ { \sec }^{2} \theta = \frac{11}{8} \\ \sec( \theta) = \sqrt{ \frac{11}{8} } [/tex]
Answer:
B) Plus-or-minus StartRoot eleven-eighths EndFraction
Step-by-step explanation:
A company rents out 18 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The fee for a game booth is $65 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
$2655 + $324d
Step-by-step explanation:
total cost of a booth = fixed cost + (variable cost x number of days)
Fixed costs are costs that do not vary with output
Variable costs are costs that vary with production
cost of 18 food booths = 18(50 + 6d) = 900 + 108d
cost of 27 game booths = 27(65 + 8d) = 1755 + 216d
Add the total cost of the food and game booths together 900 + 1755 = 2655
108d + 216d = 324d
On a coordinate plane, triangle A B C has points (negative 1, 2), (negative 1, negative 1), (2, negative 1). Given △ABC, use a dilation with the center at the origin to make a similar triangle with side lengths three times as large. What are the coordinates of C' of the image? (–6, 3) (–3, 6) (3, –6) (6, –3)
Answer:
D
Step-by-step explanation:
Answer: (6, -3)
Step-by-step explanation: just did the assignment on edge
if i got 576 pets and then i leave 111 pets and then add another 890 how much do i have in total
Answer:
1355 pets
Step-by-step explanation:
576 pets - 111 pets = 465 pets
465 pets + 890 pets = 1355 pets
Answer:
1355 pets
Step-by-step explanation:
1.3. If Sara draws a red ball and DOES NOT RETURN it, and then she goes to draw a green
ball, is this considered a dependent or independent event?
Answer:
Dependent Event
Step-by-step explanation:
Assume that are 10 balls, such that:
[tex]Red = 6[/tex]
[tex]Green = 4[/tex]
If the balls are replaced after taken, the probability is:
[tex]Pr(Red) = 6/10[/tex]
[tex]Pr(Green) = 4/10[/tex]
This is referred to as independent event; because each selection do not affect the next or previous selection
However, if the balls are not replaced, the probability is:
[tex]Pr(Red) = 6/10[/tex]
[tex]Pr(Green) = 5/(10 - 1) = 5/9[/tex]
We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.
This is referred to as independent event; because a selection affects the next selection
19.05 divided by N = 12.7
Answer:
1.5
Step-by-step explanation:
19.05 divided by 12.7 = 1.5
Answer:
1.5
Step-by-step explanation:
19.05 divided by 12.7 = 1.5
solve for X. Assume that lines which appear tangent are tangent
Answer:
C
Step-by-step explanation:
Find the volume of each of the following
9m
9m
9m
Answer:
[tex]\huge\boxed{V=729m^3}[/tex]
Step-by-step explanation:
The formula of a volume of a cube:
[tex]V=s^3[/tex]
[tex]s[/tex] - an edge
We have [tex]s=9m[/tex].
Substitute:
[tex]V=9^3=729(m^3)[/tex]
The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. What is the shape of the cross
section formed?
Which values make this inequality true?
Answer:
2
Step-by-step explanation:
2-2=4 which is equal to 4
A living room wall is 20 feet long, and 12 feet high. How much paint do you need to cover one wall?
Answer:
240
Step-by-step explanation:
hello! i'm assuming you need to find the area, so you would need to multiply 20 and 12. Hope this helped and have a nice day/night!
- Holl ^^
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The area of the living room wall = The area of the rectangle
The amount of paint needed to cover one wall is 240 square feet.
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
Example:
The area of a rectangle with length 2cm and width 3cm is 6cm².
We have,
A living room wall is 20 feet long, and 12 feet high.
The living room can be considered a rectangle.
Length = 20 feet
Width = 12 feet
The area of the living room wall = Area of a rectangle
Now,
Area of the living room wall.
= 20 x 12
= 240 square feet
Thus,
The amount of paint needed to cover one wall is 240 square feet.
Learn more about rectangles here:
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Review the graph of function f(x). On a coordinate plane, a curve starts at closed circle (negative 2, 2), curves down to (negative 1, 1), and curves up through (0, 2) to closed circle (3, 6). Using the extreme value theorem, what are the minimum and maximum values of f(x)? minimum value = 1; maximum value = 6 minimum value = 2; maximum value = 6 minimum value = –1; maximum value = 3 minimum value = –2; maximum value = 3
Answer:
A. minimum value = 1; maximum value = 6
Step-by-step explanation:
Correct on Edge 2021
HELP PLEASE!!!! LOOK AT PHOTO
x+10/(x+9)(x-2).(3x-6)(x-2)/3(x+10)
3(x-2)/3(x+9)(x-2)
1/x+9
In parallelogram MNPT, IZM= (6x + 10)° and
mZN= (5x + 10.5)° . How many degrees is ZT?
Answer:
83 degrees
Step-by-step explanation:
We can use the consecutive angle theorem to find the the value of x.
We can do that by doing 5x+10.5+6x+10 = 180
After simplifying, we get 11x+20.5=180
Subtract 20.5 on both sides and you get 11x=159.5.
Divide by 11 on both sides and you get x=14.5
Now we can use opposite angle theorem and set angle N and angle T equal.
That means we could write 5x+10.5 = m<T
We can substitute 14.5 for x and we get 72.5+10.5 = m<T
Simplify and you get 83 = m<T
----------------------------------------------
Hope this helps!
Help! I don’t know what to do
Answer:
Get a ruler
Step-by-step explanation:
I can't really answer this because it's a measuring problem.
But I'll walk you through it.
First, grab your ruler. Once you have it, you're gonna measure the icon, so the square picture. Make sure you measure it in centimeters (cm). Measure EACH side. Once you have the measurement of each sides, add them up to get your perimeter. The perimeter will always be length + width + length + width.
To find the area, take your length and your width and multiply them together.
For the second problem, you're going to take your measured side and multiply EACH of them by 2.5. The scale 1 cm = 2.5 mm means that for every represented centimeter in the image, the actual image is 2.5 mm. Once you have multiplied each sides by 2.5, you're going to repeat the steps above to get the perimeter and the area.
a book had a sale and it was 20% off. the price now is $7.00. What was the original price?
show work
Answer:
List Price = $ 8.75
Discount Amount = $ 1.75
agles
1. Find the measure of arc ABC
110 °
Answer:
Arc ABC = 250°
Step-by-step explanation:
m<AOB = 110° (given)
Based on the central angle theorem, central angle m<AOB equals the intercepted arc AB
Therefore,
m<AOB = measure of arc AB = 110°
Thus:
Arc ABC = 360° - arc AB (Full circle = 360°)
Arc ABC = 360° - 110°
Arc ABC = 250°
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 12)(0,12) and (3, 6144)(3,6144).
Answer:
y1 = abx1 and y2 = abx2
Step-by-step explanation:
which expressions are equivalent to 4-3 over 4-1
Answer:
B
cause when dividing you are subtracting the exponents
so it 4^-3+1 = 4^-2
you shouldnt have negative exponents
so you flip it, which become 1/4^2
Hope that answers your question
Don't hesitate to comment if you are confused about something
Step-by-step explanation:
The mean age of 5 women in an office is 23 years old. The mean age of 3 men in an office is 24 years old. What is the mean age (nearest year) of all the people in the office?
Answer:
23
Step-by-step explanation:
Women total age = 5 x 23 = 115
Men total age = 3 x 24 = 72
The mean age of all the people
= (115+72)÷(8)
= 23.375
= 23 (nearest year)
The mean age (nearest year) of all the people in the office is 23
How to determine the mean age?The given parameters are:
5 women = 23 years
3 men = 24 years
Mean is calculated using:
[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]
So, we have:
[tex]\bar x = \frac{23 * 5 + 24 * 3}{5 + 3}[/tex]
Evaluate the quotient
[tex]\bar x = 23[/tex]
Hence, the mean age (nearest year) of all the people in the office is 23
Read more about mean at:
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Find the measure of the exterior angle.
Answer:
33+x+18=2x+3
51+x=2x+3
51-3=2x-x
48=x
Step-by-step explanation:
2x+3
2*48+3
96+3
99
hii! please help asap. i’ll give brainliest
Answer:
D is the one
:)
please find the volume of the cone!!
[tex]volume = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Plugging in our values,
[tex]volume = \frac{1}{3} \times 3.142 \times {1}^{2} \times 2 = \frac{1}{3} \times 3.142 \times 2 = 2.095{m}^{3} \\ [/tex]
So the answer is,
[tex]2.095{m}^{3} [/tex]
For each set of angles or sides lengths, determine whether they could form a unique triangle, more than one triangle, or no triangle.
5 cm, 10 cm, 12 cm
8 ft, 12 ft, 20 ft
40°, 50°, 80°
28°, 51°, 101°
Answer: They can form one triangle.
Step-by-step explanation: Since all triangle must have 180 degrees, there’s only one set of degrees that sum up to 180.
28+51+101=180
I’m sorry, but the feet/centimeters part you have to solve on your own. Remember, this is a learning community! No stress :) I can guarantee you won’t get it wrong though.
There’s many different triangles, and I’m sure from these feet/centimeters you can make at least one of the listed: Scalene (none of the sides are equal), isosceles (only 2 sides are equal) or equilateral triangle (all sides are equal). There’s also right triangles (which are triangles with one right angle also known as 90 degrees) that are either isosceles or scalene or both! Try your best and remember, no stress :)
i need help with this new one plz and thank you
Answer:
51.04
Step-by-step explanation:
Writing a linear equations
Answer:
y = 1/2 x - 2
Step-by-step explanation:
The standard linear equationof a line is expressed as y = mx+b
Using the coordinate points (0, -2) and (2, -1)
Slope m = -1-(-2)/2-0
m = -1+2/2
m = 1/2
Since the line cuts the y axis sat y = -2, hence the intercept b = -2
Get the required equation;
Recall that y = mx+b
y = 1/2 x + (-2)
y = 1/2 x - 2
This give the required linear equation
The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this situation?
Answer:
B
( temp starts at 70 and DECREASES 8 per HOUR )
In a completely randomized design involving three treatments, the following information is provided:Treatment 1Treatment 2Treatment 3Sample Size5105Sample Mean489The overall mean for all the treatments is _______.
Answer:
7.25
Step-by-step explanation:
Given :
___________ Sample size __ sample mean
Treatment 1 ____ 5 _______ 4
Treatment 2 ____ 10 ______ 8
Treatment 3 ____ 5 _______ 9
Sample size = (5 + 10 + 5). = 20
Overall mean = ((5*4). + (10*8) + (5*9)) / 20
Overall mean = (20 + 80 + 45) / 20
= 145 / 20
= 7.25
Rewrite the function, differentiate, and then simplify
y= 3/√x
Answer:
-3/ (2x√x)
Step-by-step explanation:
y=3/√x
y= 3x^(-½)
y'= -3/2 x^(-3/2)
= -3 / (2x√x)
Si a una persona le deben 7/9 de $450000 y sólo le cancelan 3/5 de esa deuda. ¿Cuánto dinero le quedan debiendo?
Answer:
$140,000
Step-by-step explanation:
Paso 1
Si a una persona le deben 7/9 de $ 450,000
La cantidad que se le debe a la persona se calcula como:
7/9 × $ 450,000
= $ 350,000
Paso 2
Solo se cancela 3/5 de esa deuda.
El monto de la deuda que se cancela se calcula como:
3/5 × $ 350,000
= $ 210,000
Paso 3
Por lo tanto, la cantidad de dinero que debe se calcula como:
$ 350,000 - $ 210,000
= $ 140,000