Answer:
x = 10
Step-by-step explanation:
Hey there!
To solve this question we will use PEMDAS (order of operations)
4x−7=8x+33
Subtract 8x from both sides.
4x−7−8x=33
Combine 4x and −8x to get −4x.
−4x−7=33
Add 7 to both sides.
−4x=33+7
Add 33 and 7 to get 40.
−4x=40
Divide both sides by −4.
x= 40/-4
Divide 40 by −4 to get −10.
x=−10
Brainliest to answer correct Nell wrote the expression x + 0.12x = 1.12x to show that “increase by 12%” is the same as “multiply by 1.12”. Write a similar expression for “decrease by 26%”. What does it show?
Answer
To solve the equation, factor x
2
−7x+12 using formula x
2
+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.
a+b=−7
ab=12
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 12.
−1,−12
−2,−6
−3,−4
Calculate the sum for each pair.
−1−12=−13
−2−6=−8
−3−4=−7
The solution is the pair that gives sum −7.
a=−4
b=−3
Rewrite factored expression (x+a)(x+b) using the obtained values.
(x−4)(x−3)
To find equation solutions, solve x−4=0 and x−3=0.
x=4
x=3
Step-by-step explanation:
someone please please help me i need this asap and i’m struggling so much !!!
Answer:
21.5 square units
Step-by-step explanation:
The 4 circles touching eachother have a total combined length of 20.
There are 4 circles. 20/4 = 5. The diameter of each circle is 5 units.
The length ofthe rectangle is 20 units. the width of the rectangle is 5 units.
The area of the shaded region is the area of the rectangle minus the ares of 4 circles.
A = area of rectangle - area of 4 circles
A = LW - 4 × πr²
The radius of each ciorcle is d/2 = 5/2 = 2.5
A = 20 × 5 - 4 × 3.14 × 2.5²
A = 100 - 78.5
A = 21.5
help please?? find the area of the rhombus.
The area of the rhombus with length of diagonals 12 cm and 12 cm is 72 centimetre squared.
Area of a rhombusThe area of a rhombus can be represented mathematically as follows:
area of a rhombus = ab / 2
where
a and b are the length of the diagonala = 6 + 6 = 12 cm
Therefore, let's find b
tan 45 = opposite / adjacent
tan 45 = 6 / x
x = 6 / tan 45
x = 6 / 1
x = 6
b = 6 + 6 = 12 cm
Therefore,
area = 12 × 12 / 2
area = 144 / 2
area = 72 cm²
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Determine the arc length of 24pi find the radius
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect? y2 + x2 = 100 g(x) graph of the function y squared plus x squared equals 100 x g(x) −1 −22 0 −20 1 −18
Yes, at positive x coordinates
Yes, at negative x coordinates
Yes, at negative and positive x coordinates
No, they will not intersect
Answer:
Yes, at positive x coordinates
Step-by-step explanation:
Find the equation of g(x)
Given ordered pairs of g(x): (-1, -22) (0, -20) (1, -18)
[tex]\sf let\:(x_1,y_1)=(0,-20)[/tex]
[tex]\sf let\:(x_2,y_2)=(1,-18)[/tex]
[tex]\sf slope\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-18-(-20)}{1-0}=2[/tex]
Point-slope form of linear function: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\implies \sf y-(-20)=2(x-0)[/tex]
[tex]\implies \sf y=2x-20[/tex]
Substitute the equation of g(x) into the equation of the circle and solve for x
Given equation: [tex]y^2+x^2=100[/tex]
[tex]\implies (2x-20)^2+x^2=100[/tex]
[tex]\implies 4x^2-80x+400+x^2=100[/tex]
[tex]\implies 5x^2-80x+300=0[/tex]
[tex]\implies x^2-16x+60=0[/tex]
[tex]\implies x^2-10x-6x+60=0[/tex]
[tex]\implies x(x-10)-6(x-10)=0[/tex]
[tex]\implies (x-6)(x-10)=0[/tex]
Therefore:
[tex](x-6)=0 \implies x=6[/tex]
[tex](x-10)=0 \implies x=10[/tex]
So the linear function g(x) will intersect the equation of the circle at positive x coordinates.
Question 8 (1 point)
21 A student must complete the column of the table that lists the dates of the full moons.
Dates of New Moons Dates of Full Moons
February 10
March 11
April 10
May 9
What are the most likely dates of the full moons?
A February 5, March 7, April 5, May 4
B February 15, March 17, April 15, May 14
CFebruary 25, March 27. April 25, May 24
D February 29, March 31, April 29, May 28
The most likely dates of the full moons will be C. February 25, March 27, April 25, and May 24.
What is a full moon?It should be noted that a full moon simply means the lunar phase when the moon appears illuminated from the perspective of the Earth.
In this case, the most likely dates of the full moons will be February 25, March 27, April 25, May 24. The Full moon usually lasts for a night.
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HELPPP ME BAE!!!!!!!!!!!!!!!!!!!
Answer:
I think it would be B
Step-by-step explanation:
Because if you look at it neither of the x or y's are the same and if you multiply the second equation by 2 than you would have the same y in both problems which is 4y
a brick has a mass od 1,200 grams. what is the mass of the brick in kilograms?
Answer:
1.2 kilograms
Step-by-step explanation:
1 kilogram is equal to 1000 grams
Therefore we can divide the weight by 1000 in order to find the amount of kilograms
1200/1000 = 1.2
Answer:
1.2
Step-by-step explanation:
1 gram is 0.001 kilograms
or 1000 kilograms to a gram
so 1200 grams is 1.2 kilograms
Which equation is represented by the graph below?
i’ll make brainlyesttttt
Answer:
y=e^x - 4
Step-by-step explanation:
The log functions decrease with increasing x. The line shown increases as x increases, so it must be one of the two e^x equations. We can decide which one by calculating which equation povides the correct values to match the two points the curve crosses the y and x axes.
The graph shows the line crossing the y axis at -3 (0,-3)
It shows it crossing the x axis at a little over 1, perhaps 1.4 (1.4,0).
When x=0, e^0 = 1.
Look at the point (0,-3):
We know the e term will be 1 (e^0 = 1), so for y to be -3, we need to subtract 4: The form e^x - 4 would yield a value for y, when x is 0, of y = 1 - 4 or -3.
Check the other point (1.4,0):
y = e^1.4 is equal to 4.00
y = 4.00 - 4
y = 0
This point is also correct (1.4,0)
The correct equation is y=e^x - 4
Find the total surface area of this square based
pyramid.
10t
10 ft
Answer:
300 is the answer
Step-by-step explanation:
area of triangle-BxH/2
area of square- LxW
10x10=100/2=50
50x4=200
+100
=300
If the area of a circle is 74.2 ft squared, what would the circumference of the circle be?
Answer:
[tex]C=30.536\ ft[/tex]
Step-by-step explanation:
Step 1: Determine the radius
[tex]A = \pi *r^2[/tex]
[tex]74.2\ ft^2=\pi *r^2[/tex]
[tex]\frac{74.2\ ft^2}{\pi }=\frac{\pi *r^2}{\pi }[/tex]
[tex]23.619\ ft^2=r^2[/tex]
[tex]\sqrt{23.619\ ft^2}=\sqrt{r^2}[/tex]
[tex]4.8599\ ft=r[/tex]
Step 2: Determine the circumference
[tex]C=2*\pi *r[/tex]
[tex]C=2*\pi *4.8599\ ft[/tex]
[tex]C=30.536\ ft[/tex]
Answer: [tex]C=30.536\ ft[/tex]
Which expression has the greatest value? A-2 - 4, +16 4+1 B-2-(-4) +16 C -2 +4 +(-16) D 2-4-(-16)
option B
hope it helps...!!!
A basketball team scored a total of 747 points for the season. This was 9 times the number of points scored in the first game. How many points were scored during the first game?
The height of a triangle is 4 feet less than the length of its base, b. The area of the triangle is 30 square feet.
Find the base and the height of the triangle.
Answer:
b = 10 ft , h = 6 ft
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
let base = b theh height h = b - 4
given A = 30 , then
[tex]\frac{1}{2}[/tex] b(b - 4) = 30 ( multiply both sides by 2 to clear the fraction )
b(b - 4) = 60 ← distribute parenthesis on left side by b
b² - 4b = 60 ( subtract 60 from both sides )
b² - 4b - 60 = 0
(b - 10)(b + 6) = 0
equate each factor to zero and solve for b
b - 10 = 0 ⇒ b = 10
b + 6 = 0 ⇒ b = - 6
however, b > 0 , then b = 10
and h = b - 4 = 10 - 4 = 6
then base is 10 ft and height is 6 ft
10Which best describes a system of equations that has infinite solutions?
Answer:
FOR CONNEXUS UNIT 3 LESSON 1 SOLVING SYSTEMS BY GRAPHING 1. C 2. A 3. A 4. A
Step-by-step explanation:
What steps are used to solve the equation 146 + f = 225
Answer:
f = 79
Step-by-step explanation:
You need to perform one-step equations process
146 + f = 225 (You're trying to solve for "f")
*First way, you could subtract both sides by 146 which makes the 146 cancel out then do 225-146 = 79. So f is 79
*A rule to remember is that the opposite of addition is subtraction. If you move 146 to 225 side you must switch it to negative 146.
a high school club is researching a tour package offered by the island kayak company. the company charges $35 per person and $245 for the tour guide. which function represents the total cost, c(x), of this kayak tour package for x club members? A. C(x) = 35x B. C(x) = 35x+245 C. C(x) = 35(x+245) D. C(x) = 35 + (x+245)
The function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x
How to calculate the total cost on a package?According to the given question, we have the following parameters
Amount charged on tour guide = $245
Let the total number of club members charged be "x", such that if the company charges $35 per person, the total cost on "x" members will be 35x
Determine the total costTotal cost = Amount charged on tour guide + cost of "x" members
Total cost = 245 + 35x
Hence the function that represents the total cost, c(x), of this kayak tour package for x club members is 245 + 35x
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x2 + 8x + 19 = 0 What is the equivilent that results from completing the square?
Answer:
[tex](x+4)^2+3=0[/tex]
Step-by-step explanation:
Hey there!
Standard form is what this equation is in
Standard form is this: [tex]ax^2+bx+c[/tex]
So order to complete the square, you need to take the [tex]b[/tex] term out of the equation, divide it by two, and then square it
In this case, the [tex]b[/tex] term is 8
We need to divide 8 by 2 ---> 4
Then square 4 ---> 16
So now you should add 16 to both sides
[tex]x^2+8x+16+19=16[/tex]
Now you can simplify the LHS
[tex](x+4)^2 +19=16[/tex]
Now you subtract 16 from both sides
[tex](x+4)^2+3=0[/tex]
So this is as far as you can go since you cannot take the square root of a negative number
Find b, glven that a = 20, angle A = 30°, and angle B= 45 triangle ABC.
Answer:
b =28.28
Step-by-step explanation:
SinA/x = sinB/x
Sin30°/20=sin45°/b
Cross multiplication
20×sin45=b×sin30
20×sin45/sin30 =b
b=28.28
In Ms. March's class, 7/10 of the students walk to school. Another 1/5 of the students ride thier bikes. The other students ride on the school bus. What fraction of the class rides on the school bus?
A. 1/10
B. 1/5
C. 2/5
D. 1/2
(I will mark brainliest!)
Answer:
1/10 of the class
Step-by-step explanation:
We already know:
Total students: 10/10Determining the fraction of the total students rides on school bus
[tex]\implies\dfrac{7}{10} = \text{Walk}[/tex] [tex]\dfrac{10}{10} - \dfrac{7}{10} = \boxed{\dfrac{3}{10}} \ \text{students remain}[/tex]
[tex]\implies\dfrac{1}{5} = \dfrac{2}{10} = \text{Ride bikes}[/tex] [tex]\dfrac{3}{10} - \dfrac{2}{10} = \boxed{\dfrac{1}{10} }\ \text{student remain}[/tex]
Thus, 1/10 of the class rides on the bus.
need help
complete solution and correct aanswer
Answer:
17.0 m/s
Step-by-step explanation:
Using SUVAT:
[tex]s= \\u=7.0\:\textsf{m/s}\\v=v \\a=2.0\:\textsf{m/s}^2\\t=5\: \sf s[/tex]
[tex]\begin{aligned}\textsf{Using}\quad v & =u+at\\ \implies v & = 7.0+2.0(5)\\ & = 7.0+10.0\\ & = 17.0\:\textsf{m/s} \end{aligned}[/tex]
Which of the following conclusions is not supported by this diagram?
There are currently several million people living in the country.
Slightly more boys than girls were born during the past five years.
O The population growth has been steadily increasing for the past 25 years.
O The country experienced a population "boom" between 30 and 35 years ago.
Answer:
The answer should be A
Step-by-step explanation:
Hope this helps.Tell me if its wrong.
The population growth has been steadily increasing for the past 25 years is not supported by this diagram. Correct option is A.
The diagram does not provide information about the population growth trends for the past 25 years. It only shows the population pyramid at a specific point in time, with age and gender distributions. It does not indicate the population growth rate over the last 25 years or whether it has been increasing steadily during that period.
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Omar and Zina Aboud found that the dealer's cost of the base price was $16,558. 16 and the dealer's options cost was $611. 60. The consumer paid the $475. 00 destination charge. If the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, find the car's sticker price
Assuming the percent of the dealer's cost is 92% and the percent of dealer's options cost is 88%, The car's sticker price is: $17,644.76 and the dealer price is $16,246.72.
Car's sticker price and dealer's pricea. Car's sticker price:
Using this formula
Car's sticker price=Base price+Options cost+Destination charge
Let plug in the formula
Car's sticker price=$16,558. 16 + $611. 60+$475. 00
Car's sticker price=$17,644.76
b. Dealer price:
Dealer's price=Percent of base price+Percent of options cost+Destination charge
Let plug in the formula
Dealer price=16,558. 16+$611. 60+$475.00
Dealer price=$16,246.7152
Dealer price=$16,246.72 (Approximately)
Inconclusion the car's sticker price is: $17,644.76 and the dealer price is $16,246.72.
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Solve for y. y /4 + 15 = 17
Answer:
y = 2 x ± [tex]\sqrt{2}[/tex] =± 2.8284
Step-by-step explanation:
y*y/4+15-(17)=0
Answer:
[tex]4 + 15 \div y = 17 \\ \\ 4 + 15 = 17y \\ \\ 19 = 17y \\ \\ y = \frac{19}{17} [/tex]
Over time, Bailey has buried 4 large bones and 6 small bones in a hole. What is the ratio of small bones to large bones in the hole?
Answer: the ratio is 6:4
Step-by-step explanation:
the amount of large bones is 4 so:4 and the number of small bones is 6 so 6:
so the answer is 6:4
Answer:
3:2
Step-by-step explanation:
4/2=2
6/2=3
find the common factor which is 2, divide both by 2
please mark me brainest
A cylinder has a height that is twice the length of the diameter. The diameter of the cylinder is 10 centimeters. What is the surface area of the cylinder?
Type the correct answer in the box. Use numerals instead of words.
The surface area is square centimeters.
Answer:
Step-by-step explanation:
Givens
pi = 3.14
d = 10 cm
h = 2*d
Formula
The top of the cylinder is a solid circle. So the area of the circle is pi r^2There is both a top and bottom to the circle so the fomula is 2*pi*r^2The surrounding area of the cylinder is the circumference of the circle times the height. The circumference of the circle is 2*pi*r. Then you just multiply by the height.formula = 2*pi * r * hThe combined formula is given below.
SA = 2*pi*r^2 + 2*pi*r * h
Conversions
d = 10 cm
h = 2*10
h = 20 cm
r = d/2
r = 10 / 2
r = 5cm
Solution
SA = 2*pi*r^2 + 2*pi*r * h
SA = 2*3.14*5^2 + 2*3.14*5*20
SA = 157 + 628
SA = 785 cm^2
Answer: The surface area is 785 cm^2
Answer:
the surface area is 250 Pi square centimeters
Answer number 16 please
Jim's cards increased more
A sphere has a volume of 904 cm3. If its radius is increased by a scale factor of 4, then the new volume is 57,856 cm3.
Answer:
what exactly are you looking for?
Step-by-step explanation:
what is the value of X in the following diagram?
Answer:
x = 98 degrees
Step-by-step explanation:
The sum of angles in a pentagon is 540 degrees. You can find this with the formula where n is the number of sides: 180(n-2). This formula will find the angle sum of a polygon. Now, since you know the value of every other angle except X, we can construct the equation 112+100+113+117+x=540
Solving this equation yields x=98 degrees
Sum of angles in a pentagon is 540°
x = 540 - (117+113+100+112)
x = 540 - 442
x = 98°
Please help me out ;)
Answer:
for every 21 votes for A there were 6 for b or 9 for c
Step-by-step explanation:
63 divided by 3
18 divided by 3
27 divided by 3