Answer:
35
Step-by-step explanation:
In such cases where there are two minuses, you join them and turn it into a plus sign. So therefore...
= 10 - ( -25 )
= 10 + 25
= 35
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At a sale this week, a sofa is being sold for $527. This is a 32% discount from the original price. What is the original price?
on a coordinate plane, line segment AB has a length of 12 units. AB is translated 5 units up, resulting in line segment A’B’. What is the length of A’B’?
Answer:
12 unitsStep-by-step explanation:
Given
Line segment AB = 12 unitsTranslation of AB → A'B' by the rule T(x +0, y+5)
This translation won't change the length of A'B' as the difference in (x2-x1) and (y2-y1) stays same because x-coordinate stays as is and y-coordinate's change cancelled when subtracting
So A'B' = 12 units
using y=-6x what is the value of x if y=42
Answer:
Step-by-step explanation:
Y = - 6x
Putting value of 42
42 = - 6x
42/-6 = x
-7 = x
Answer:
x=-7
Step-by-step explanation:
y=-6x
y=42
use substitution
42=-6x
divide both sides by -6
x=-7
which statements about the trend line in item 3 are true? select all that apply.
a. the slope is the cost of one book
b. the slope is the cost if Hana's lunch
c. the y-intercept is the cost of one book
d. the y-intercept is the most if Hana's lunch
Answer:
a and c
Step-by-step explanation:
convert each terminating decimal to a fraction in its simplest form. A. 0.4 B. 0.625
Answer:
A. 2/5
B. 5/8
Step-by-step explanation:
0.4 = 4/10 = 2/5
625/1,000 = 125/200 =25/40 = 5/8
The rectangle has length 8 cm and area 48 cm2.
The perimeter of the square is the same as the perimeter of the rectangle.
Calculate the area of the square.
Step-by-step explanation:
Given,
length of rectangle(l)= 8cm
area of rectangle(A) = 48cm2
breadth of rectangle(b) = ?
Perimeter of rectangle (P)=?
We know ,
Area of rectangle(A) = l×b
or, 48cm2 = 8cm×b
or, 48cm2 = 8bcm
or, 48cm2/8cm = b
or, 6cm = b
or, b = 6cm
therefore, b = 6cm
Perimeter of rectangle (P) = 2(l+b)
= 2(8cm+6cm)
= 2×14cm
= 28cm
therefore, Perimeter of rectangle(P) = 28cm
Now,
According to the question,
Perimeter of rectangle(P) = Perimeter of square(P)
So,
Perimeter of square(P) = 28cm
length of square(l) = ?
Area of square (A) = ?
We know,
Perimeter of square (P) = 4l
or, 28cm = 4l
or, 28cm/4 = l
or, 7cm = l
or, l = 7cm
therefore, l = 7cm
Now,
Area of square (A) = l^2
= (7cm)^2
= 7cm×7cm
= 49cm^2
therefore, area of square (A)= 49cm^2
The area of the square based on the information is 49cm².
Since the rectangle has length 8 cm and area 48 cm², the width will be:
= 48/8 = 6cm.
Therefore, the perimeter will be:
= 2(l + w)
= 2(8 + 6)
= 28cm
Therefore, the length of the square will be:
= 28/4 = 7
Area of the square will be:
= 7cm × 7cm
= 49cm²
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Write a function that gives the remaining amount of containments in kilograms, C(t), t hours after Nana started purifying the water
Answer:
[tex]C(t)= \frac{1}{2} kg (2/3) ^ t[/tex]
Step-by-step explanation:
Original Question:
Nana has a water purifier that filters 1/3 of the contaminants each hour. She used it to purify water that had 1/2 kilogram of contaminants. Write a function that gives the remaining amount of contaminants in kilograms, C(t), t hours after Nana started purifying the water.Explanation:
Each hour, the water purifier filters 1/3 of the contaminants, meaning that the contaminant reduces by 2/3. If the contaminant was 1kg (for example), the mass would be 2/3 kg after 1 hour- after 2 hours, it'll be 4/9 kg, so we see a pattern. We need to multiply the contaminant by 2/3 every single hour.[tex]C(t)= \frac{1}{2} kg (2/3) ^ t[/tex]Solve the problem. Show your work
Answer:
D correct
Step-by-step explanation:
what is the distance between points F(2,9) and G(-2,6)? Round to the nearest whole number.
Answer:
idk i need points
Step-by-step explanation:
Answer: Distance = 5
Step-by-step explanation:
I took the test yesterday and got it correct, I am reliable
Is this answer correct?
4 x 7/8 Pls I need help my mom is yelling at me
Answer:
3.5
Step-by-step explanation:
Answer:
7/2 or 3 1/2
Step-by-step explanation:
4 * 7/8 = 4/1 * 7/8 = 28/8 = 7/2 = 3 1/2
Thirteen-year old Sammy Thompson bought old skateboards at anction for $350.
He fixed them and sold them for $50 each. WRITE an equation to find how many
skateboards Sammy bought to make a $6200 profit.
Answer:
124
Step-by-step explanation:
calculator blablabla
The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per 14cup of sugar.
Answer: 0.357
Step-by-step explanation:
Here is the remainder of the question:
What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar?
We are going to solve this by using direct proportion,
y = kx
where,
x = number of cups of sugar = 14
y = number of cups of strawberries = 5
k = constant of proportionality
We slot the values into y = kx
y = kx
5 = 14k
k = 5/14
k = 0.357
The constant of proportionality is 0.357
math. we love it. we dont. i dont even know
Answer:
C
Step-by-step explanation:
It would equal -9
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $24.6, and the standard deviation is known to be $7.9. How large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.56? Round your answer up to the next integer.
Answer:
327
Step-by-step explanation:
Calculation for How large of a sample would be required in order to estimate the mean per capita income
First step is to find z 80% confidence level
At 80% confidence level the z will be:
α/2 = 1 - 80% = 1 - 0.80 = 0.20
α/2= 0.20 / 2 = 0.01
Zα/2= Z0.01= 1.28 from z table
Now let calculate the Sample size using this formula
Sample size = n= [( Zα/2* σ ) / E]^2
Let plug in the formula
n = (1.28*7.9/0.56)^2
n= 326.06
n=327 (Approximately)
Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327
best estimate for 7/8-6/11
Answer:
WE ARE GONNA DIE
Step-by-step explanation:
BECAUSE BIDEN IS THE PRESIDENT AND DONALD TRUMP IS NOT. >.< I DONT LIKE BIDEN!!!!
Dierections:Factor out the GCF from the following.Make sure your answer is factored completely by taking out any common numbers and or variables
Answer:
21
Step-by-step explanation:
your mom
I need help with this, Its geometry
Answer:
Step-by-step explanation:
x + 17 + 6x + 10 + 4x - 34 = 180
11x + 27 - 34 = 180
11x - 7 = 180
11x = 187
x = 17
x + 17 = 17 + 17 =34
6(17)+10 = 102 + 10 = 112
4(17) - 34 = 68 - 34 = 34
Answer is D
(-5 x 5x) - (-2 - 4)
How do I find the missing side?
Answer:
Step-by-step explanation:
as indicated by the red square, it is a right triangle. so you would a2 plus b2=c2. or in this case
11.9^2+b^2=14.7^2
141.61 + b^2 =216.09
b^2=74.48
b≈8.63
Please help fast this has to be done by today can you also leave how you solved the problem thank you I will give points.
Answer:
B
Step-by-step explanation:
First find the perdendicular slope (flip and change sign) : m= -[tex]\frac{1}{4}[/tex]Then set up your equation using the given ordered paired to find your y-intersept: -1 = -[tex]\frac{1}{4}[/tex] (5) + bCaluclate the product: -1 = -[tex]\frac{5}{4}[/tex] + bMove the variable to the left-hand side and change its sign : -b - 1 = -[tex]\frac{5}{4}[/tex]Calculate the sum: -b = - [tex]\frac{1}{4}[/tex]Change the sign : b= [tex]\frac{1}{4}[/tex]Use the slope and y-intersept to creat the equation: y = -[tex]\frac{1}{4}[/tex]x + [tex]\frac{1}{4}[/tex]what is the slope of the line passing through the points (0,-5) and (4,2)
Answer: 7/4.
Step-by-step explanation: To find the slope of a line, one must use the formula (y2-y1)/(x2-x1). In this case y2 is 2, y1 is -5, x2 is 4, and x1 is 0. We can plug this into the equation to get 7/4.
answer this just tell me the color
Answer:
yellow
Step-by-step explanation:
what kinda math is this
Two angles of a triangle measure 120 and 40°.
What is the measure of the third angle of the triangle?
A. 38°
B. 48°
C. 128°
D. 308°
PLS HELP
I need an answer for x =
And y =
Answer:
x = − 2 , and y = 8
Step-by-step explanation:
which is the solution to the inequality 2 3/5 b-8/15
Answer:
115b−120Step-by-step explanation:
Answer:
b>47/15 ... I think
please i need this quick , it’s so confusing
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+228x+71
Answer:
883.3
Step-by-step explanation:
thats all.
An equation is formed of two equal expressions. The maximum height reached by a rocket, to the nearest tenth of a foot is 883.3 feet.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the maximum height through which the rocket will reach, we need to differentiate the given function, therefore, we can write,
y=-16x²+228x+71
dy/dx = -16(2x)+228
Substitute the value of dy/dx as 0, to get the value of x,
0 = -32x + 228
228 = 32x
x =7.125
Substitute the value of x in the equation to get the maximum height,
y=-16x²+228x+71
y=-16(7.125²)+228(7.125)+71
y=883.3feet
Hence, the maximum height reached by the rocket, to the nearest tenth of a foot is 883.3 feet.
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Large chocolate bar has a base area of 48.96 square feet and its length is 0.6 foot shorter than twice its width. Find the length and width 
Answer:
Length=9.6
Width=5.1
Step-by-step explanation:
Step one:
given data
for the large chocolate
Area=48.96ft^2
let the width be x
w=xft
let the length be l
l=(2x-0.6)
Step two:
we know that area A=length * width
48.96=(2x-0.6)*x
48.96=2x^2-0.6x
2x^2-0.6x-48.96=0
divide through by 2 we have
x^2-0.3x-24.48=0
solving the quadratic equation, the roots are
x=5.1
x=-4.8-----not correct cannot be -ve
so x=5.1
the width is 5.1
the length = 2(5.1)-0.6
l=10.2-0.6
l=9.6
check Area= 9.6*5.1= 48.96
The length and the width of the bar are 6.7ft and 7.3ft respectively
The formula for calculating the volume of the chocolate bar is expressed as:
V = Base area * heightGiven the following parameters
Base area = 48.96 square feet B = length * width48.96 square feet = lwIf the length is 0.6 foot shorter than twice its width, hence;
l = w - 0.6
The expression becomes;
[tex]48.96 = w(w-0.6)\\48.96 = w^2 - 0.6w\\w^2 - 0.6w - 48.96 - 0[/tex]
On factorizing the result, w = 7.3ft
Recall that l = w - 0.6
l = 7.3 - 0.6
l = 6.7ft
Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.
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