Answer:
$60
Step-by-step explanation:
Represent the original price by p. Then:
1.00 p = original price
0.20 p = discount
0.80p = price after discount = $48
Solving for p, we divide both sides by 0.80:
$48
p = ---------- = $60
0.80
2. Solvex2 - 6x = -5 by completing the square , Show all work for the steps below . ( a ) Forx ? - 6x + = -5+ , what value of c is used to complete the square ? ( b ) Substitute the value for c in Part 2 ( a ) . Then complete the square to rewrite the equation as the square of a binomial . ( c ) Solve for x
Answer:
see explanation
Step-by-step explanation:
Given
x² - 6x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 5 + 9 [ part a, c = 9 ]
(x - 3)² = 4 [ part b ]
Take the square root of both sides
x - 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( add 3 to both sides )
x = 3 ± 2
Thus part c is
x = 3 - 2 = 1
x = 3 + 2 = 5
Does the table represent a linear function ??
Answer:
No.
Step-by-step explanation:
The points from the table need to have a constant slope for the function to be linear.
Slope is rise over run.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For (1,1) and (2,2):
[tex]m=\frac{2-1}{2-1}=\frac{1}{1}=\boxed{1}[/tex]
The slope is 1.
For (3,6) and (4,24):
[tex]m=\frac{24-6}{4-3}=\frac{18}{1}=\boxed{18}[/tex]
The slope is 18.
1 ≠ 18
Since the slopes of the points are no consistent, the table represents a nonlinear function.
Therefore,
The table does NOT represent a linear function.
What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please!
Answer:
A.
Step-by-step explanation:
Find the area of the triangle: 26-20=6. 14x6=84/2=42. Now that we calculated the triangle's area, we need to find out the rectangle's. 20x14=280. Add them up: 280+42=322 mm^2. Triangle: b x h/2. Rectangle: l x h.
The area of a 2D form is the amount of space within its perimeter. The area of the given figure is 322 mm². The correct option is A.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The given figure can be broken into a rectangle and a right-angle triangle, in order to calculate the area of the given polygon.
The area of the rectangle with a length of 20mm and height of 14 mm is,
Area of the rectangle = 20mm × 14mm
= 280 mm²
The area of the right-angled triangle with a base length of 6mm and height of 14 mm is,
Area of the triangle = (1/2) × 6mm × 14mm
= 42 mm²
Now, the total area of the given figure can be written as,
The total area of the given figure
= Area of the rectangle + Area of the triangle
= 280 mm² + 42 mm²
= 322 mm²
Hence, the area of the given figure is 322 mm².
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AHH, I need help .....again. ik this one is easy my brain is just - also, what is a good excuse to tell my teacher because this assignment is past due by one day bc i thought it was due on the 6 but .... it wasn't . And idk what to say plz help !!! thx :D
Answer:
fraction: 87/100. decimal: 0.87
Step-by-step explanation:
Because there are 10 rows and 10 colums, you know the denominator is 100 because it is 10x10.
Then I counted the first 80 blue squares and knew it was 80 because it is 8 rows and 10 colums. Then I added 7 blue squares because that is above the 80, and 80+7 is 87. So, the fraction is 87/100.
100ths places in decimals is two places, so the 87 would be in the first two decimal places, so it would be 0.87.
Sorry if this is confusing, and I hope it helps :)
Answer:
Fraction = 87 over 100 or [tex]\frac{87}{100}[/tex] The decimal = 0.87
Step-by-step explanation:
first what I did was I counted all of the total squares which was 100 then I counted all of the Shaded squares which was 87.then I put 87 over 100 as a fraction and try to figure out if that was its simplest form which it was. for the decimal all I had to do was take 87 and divide it by 100
11. In a box-and-whisker plot, the interquartile
range is a measure of the spread of the
middle half of the data. Find the interquartile
range for the data set: 10, 3, 7, 6, 9, 12, 13.
A 12
© 6
B 7
D 8
Find the area of the ACTUAL gym
Step-by-step explanation:
The three main types of exercise are cardiovascular exercise, strength training and stretching. All three types of exercise are important for physical fitness. Cardiovascular aerobic exercise is repetitive, rhythmic exercise that increases your heart rate and requires you to use more oxygen.
Answer:
6.67
Step-by-step explanation:
Using the function f(x)=-x^2+8x-13 find f(4)
Answer:
f(4) = 3
Step-by-step explanation:
f(x) = -[tex]x^{2}[/tex] + 8x - 13
To find f(4), substitute 4 for all instances of x:
f(4) = -(4[tex])^{2}[/tex] + 8(4) - 13
Simplify the exponent:
f(4) = -16 + 8(4) - 13
Multiply:
f(4) = -16 + 32 - 13
Combine terms:
f(4) = 3
Answer:
3
Step-by-step explanation:
You plug in 4.
f(4)= -(4)^2+8(4)-13
f(4)= -16+32-13
f(4)= 16-13
f(4)=3
A bag contains red, white, and blue marbles. If 1/4 of the marbles are red and 2/3
of the marbles are white, what fractional part of the marbles are blue?
Answer: 1/12
Step-by-step explanation: 1/4=3/12. 2/3=8/12. 3/12+8/12=11/12. The remaining 1/12 is blue.
Evaluate 3a2 + 4b2 for a =
2 and b = 3.
O
168
48
O
36
Answer:
48
Step-by-step explanation:
a=2
b=3
3a^2+4b^2
3(2)^2+4(3)^2
3(2)(2)+4(3)(3)
3(4)+4(9)
12+36
48
Hope this helps ;) ❤❤❤
PLEASE HELP PLEASE WILL MARK BRAINLY
Answer:
1,4,7,9,10
7,28,49,63,70
table thingy
Step-by-step explanation:
The amount multiplied is 7- we can divide or multiply accordingly because it is 7 dollars per feet of fencing.
what is the volume of a sphere when the radius is 7, PLZ HELP WILL RATE THE BRANLIEST
Answer:
[tex]V=1437.33\ \text{unit}^3[/tex]
Step-by-step explanation:
We need to find the volume of a sphere when the radius is 7. To find volume we must know the formula used to find the volume of a sphere. The formula of volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3\\\\V=1437.33\ \text{unit}^3[/tex]
So, the volume of a sphere when the radius is 7 is [tex]1437.33\ \text{unit}^3[/tex].
Answer:
V≈1436.76
Step-by-step explanation:
i searched it on google
Somebody please help me on this math problem
Answer:
I believe that the answer is F.
Step-by-step explanation:
The y coordinate is about the test score (per question is assume).
It if is per question then 5 points will be handed out for every four questions or 1.25 per question.
Answer:
F
Step-by-step explanation:
Find the slope:
two points were given (1, 5/4) and (0, 0) because if you get zero question right you will recieve zero points.
Slope: 5/4
y= (5/4)x
Lets check F
You get 4 questions rights then you will get 5 points.
Nine-tenths of a 70 foot long driveway has already been paved. How many
feet of the driveway have been paved so far?
Answer:
63
Step-by-step explanation:
becuase when you divide 70 by 10, you will get 7 which then when you mutiply it by 9, you will get 63
The t distribution approaches the _______________ distribution as the sample size ___________.
Answer:
Normal; increases.
Step-by-step explanation:
In Statistics and probability, a student t-distribution also known as the t-distribution refers to the continuous probability distribution which can be used to estimate population parameters when the population variance or standard deviation is not known (unknown) and the sample population is relatively small. The student t-distribution is a statistical distribution which was published in 1908 by William Sealy Gosset.
The t-distribution approaches the normal distribution as the sample size increases because the parameters becomes negligibly smaller.
This ultimately implies that, when the degree of freedom of a t-distribution curve is increased in comparison with that of a normal distribution, the value of probability becomes significantly similar.
What’s x ?? Help plzzz
Answer:
x = 69°
Step-by-step explanation:
1). JFGHI is a pentagon, every angle in a Pentagon is equal to 108°.
2). angle JIH + angle HIE = 180°; angle JIH = 108, so angle HIE = 72°.
3). angle JDI is equal to 39° and angle IEH; so angle IEH = 39°
4). Now we know 2 out of the three angles in the triangle IHE, so we can find x!
5). x + angle HIE + angle IEH = 180°
x + 72° + 39° = 180°
x = 69°
Lance can paint the room in 5 hours, while Kim can paint the same room in 4 hours.
How many hours would it take for them to paint the room together?
Answer:
1.5 hours
Step-by-step explanation:
What is the probability of rolling a number less than three on a six-sided die?
Answer: The probability would be 1/3.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Only '1' and '2' are less than '3' on a 6-sided die.
Thus, only 2 out of 6 outcomes are of interest.
The probability of rolling a number less than three on a six-sided die is therefore 1/3.
Find the lateral area of this cone
Given: ΔABC, AC = BC, AB = 3 CD⊥ AB, CD = 3 Find: AC
3.35 (3 sig.fig)
Given:Triangle ABC
AC = BC, AB = 3, CD perpendicular to AB, CD =3
Find:AC (Hypotenuse)
Step-by-step solution:AC = BC shows that Triangle ABC is an isosceles triangle.
As CD is perpendicular to AB, and, both sides
(AC & BC) have equal angles and length, making the line CD cut right across the triangle.
(Point D is in the middle of Line AB)
Resulting in 2 EQUAL triangles in Triangle ABC.
To find one of the 2 triangles:
1. Take Line AB and divide it in half as both sides are equal.
Line AD = 3 / 2
= 1.5
2. Use the Pythagoras Theorem to find Line AC (Hypotenuse). [c^2 = a^2 + b^2]
a : Line AD = 1.5
b : Line CD = 3
c^2 = 1.5^2 + 3^2
c^2 = 2.25 + 9
c^2 = 11.25
c = (Square Root) 11.25
c = 3.35 (3 significant figure)
Therefore, the answer is:
3.35
During a science experiment, the temperature of a certain substance was recorded at three different times. Use this information to complete the statements below. The time at which the temperature is below 0°C is ___ (3:00,4:00,5:00) The time with the highest temperature is ___(3:00,4:00,5:00) The temperature at 3:00 is ____(closer too, farther from) 0°C than is the temperature at 4:00. HELP ASAP
Answer:
Step-by-step explanation: The time at which the temperature is below 0°C is 3:00
The time with the highest temperature is 4:00 The temperature at 3:00 is closer too zero than the temp at 4:00
help me plz i need help
Find X. Round your answer to the nearest tenth of a degree.
Answer:
48.6 degrees
Step-by-step explanation:
The sine function is appropriate here:
9
sin x = ------------- = 0.75
12
The inverse sine function arcsin x provides with the angle measurement:
arcsin 0.75 = 0.848 radian, or 48.6 degrees
jodi has $8,525 in her savings account earning 1.8% annually. how much is in jodi’s account after 8 years? round answer to the nearest cent.
Answer: $32,207,620.36
Step-by-step explanation:
What you need to do is use the formula A = P(1+r)^n
A = Your answer
P = Is the amount Jodi started with.
R = Is the annual interest
N = Number of years
Then plug in your numbers. Always make sure you use PEMDAS. This means parenthesis, exponents, multiplication, division, addition, and subtraction. You always start with the things in the parenthesis and go on down the list. Once you finish the (1 + (1.8)) = 2.8 you will have. A = 8,535 (2.8)^8. You then multiply 2.8 with the exponent 8. Then multiply 8,535 and your answer for 2.8 times 8 and you get your answer.
Good luck on other questions kid
colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?
Answer: 24
Step-by-step explanation:
Colleen painted 7 windows, some of which were her mother's.
Her dad painted 7+1 (8) windows, and that is twice as much as what her mother was supposed to do. Her mother was supposed to do 4 windows. That means Colleen's share was 3 windows.
If all the kids had to do an equal amount of windows, than each kid had to do 3 windows.
8+7+3+3+3=24
The total windows in the house are 21.
What is an algebraic expression?It is an expression contains a relation between different parameters (variables). It contains variable and constant values, along with algebraic operations.
In our given problem, the algebraic relation between different members work output and total windows can be expressed as:
Windows painted by colleen and her mother = 7
Windows painted by father = (Windows painted by colleen and her mother + 1)
= (7 + 1) = 8
∴ Windows painted by father = 8
Now, as given,
2 Windows painted by mother = Windows painted by father
∴ Windows painted by mother = [tex]\frac{8}{2}[/tex] = 4
and Windows painted by colleen = 7 - 4 = 3
Colleen and her 2 brothers paint equal windows;
∴ They painted 3 windows each.
The total windows in the house is equal to total painted windows by mother, father, colleen and her two brothers:
⇒ 4 + 8 + 3 x 3 = 12 + 9 = 21
Hence the total windows in the house are 21.
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The ground temperature at sea level is 60 degrees F. For every 100-foot increase in elevation, the temperature rises 1/10 of one degree. At an altitude of 2,000 feet, what will be the likely temperature? A. 58 degrees F B. 62 degrees F C. 72 degrees F D. 80 degrees F Show ALL work please!!
====================================================
Explanation:
x = elevation in feet
y = temperature in fahrenheit
The temperature goes up 1/10 = 0.1 degrees for every 100-foot increase of elevation. So the slope is 0.1/100 = 0.001, which tells us how fast the temperature is increasing. In other words, the temperature goes up 0.001 degrees each time the elevation goes up by 1 foot.
The ground temperature is 60 degrees, which is our starting temperature. It's the value of y when x = 0. Therefore, 60 is the y intercept.
We have a slope of m = 0.001 and a y intercept of b = 60. The equation y = mx+b becomes y = 0.1x+60
Now plug in x = 2000 to find the temperature at this elevation
y = 0.001x+60
y = 0.001*2000+60
y = 2+60
y = 62
Answer:
B.62
Step-by-step explanation:
60 + (2000/100) We find 20 is the answer to the division
60 + (20 * 1/10) We find 2 is the answer to the multiplication
60 + (2)
We can then + for elevation or - or depression or decrease.
= 62
= 62 degrees.
Find the median of the data in the dot plot below.
Answer:
it's 40
Step-by-step explanation:
because, there's five numbers on each side of 40
Answer:
Step-by-step explanation:40
Here can somebody help me with this problem
Answer:
H, 40%
Step-by-step explanation:
We can start out simple by finding out the number of cars in each category.
30 remote-controlled cars
90 non remote-controlled cars.
20% of the remote controlled cars are yellow, meaning that there are 6 yellow remote controlled cars.
Since 50% of the total cars are yellow, there are 60 yellow cars. Subtracting this from the yellow remote controlled cars, there are 54 yellow non remote contolled cars.
What this means is that 54/90 of the non-remote cars are yellow, and 36/90 of the non-remote cars are yellow. 36/90 is just 2/5, which means that our answer is H, 40%.
please help me with this questions. Will Mark brainliest.
Answer: 355
And 33 eggs
Step-by-step explanation:
8 × 40 = 320
7/8 × 40= 35 Add 35+320 = 355
2 × 12= 24 3/4 of 12 = 9
Add 9+24=33
You can also make an improper fraction. Multiply the denominator by the whole number then add the numerator.
2 3/4 becomes 4×2=8
8+3=11 Divide the other factor by the denominator: 12÷4=3
Then multiply by the "improper" numerator 3×11=33
8 7/8 becomes 71/8
40/8=5
5×71=355
Answer:
355
Step-by-step explanation:
So, you first multiply 8 with 8 = 64
Then 64 + 7 = 71
So, 71 is the numerator and 8 stays the denominator.
Now you have 71/8 *40.
You "cut" 40 into five and 8 into 1, Because 40 divided by 8 is 5, so 40 becomes 5 and 8 becomes 1.
Now we have 71 * 5 = 355
hope it helps!
PLEASE brainliest me!
this is a calculus question.
The volume of a cube increases at a constant rate of 10 cm^3 per second. find the rate of change in its total surface area at the instant when its when its sides are 20 cm long.
Answer:
2 cm^2/sec
Step-by-step explanation:
side of cube ---- x cm
volume = x^3
d(volume)/dt = 3x^2 dx/dt
when c = 20, d(volume)/dt = 10 cm^3/sec
10 = 3(20^2) dx/dt
dx/dt = 10/1200 = 1/120 cm/sec
Surface area = SA = 6x^2
d(SA)/dt = 12x dx/dt
so when x = 20, as above
d(SA)/dt = 12(20)(1/120) cm^2/sec
= 2 cm^2/sec
h(x+1)=x^2-4 evaluate function by substuting x+1
Answer:
h(x + 1) = (x+3)(x-1)
Step-by-step explanation:
Simply plug the value of x+1 into the equation for x.
h(x) = x^2 - 4
h(x + 1) = (x + 1)^2 - 4
h(x + 1) = x^2 + 2x + 1 - 4
h(x + 1) = x^2 + 2x - 3
h(x + 1) = (x+3)(x-1)
Cheers.
Answer:
h(t)= t² - 2t -3
Step-by-step explanation:
h(x+1)= x²-4 is the given function
We can write it x²-4 as:
(x+2)(x-2)= (x+1+1)(x+1 - 3)Substituting x+1 with t. Then function is:
h(t)= (t+1)(t-3)= t² - 2t -3or
h(t)= t² - 2t -3