Answer:
x = 35
Step-by-step explanation:
Solve for x:
5 (x + 20) = 7 x + 30
Expand out terms of the left hand side:
5 x + 100 = 7 x + 30
Subtract 7 x from both sides:
(5 x - 7 x) + 100 = (7 x - 7 x) + 30
5 x - 7 x = -2 x:
-2 x + 100 = (7 x - 7 x) + 30
7 x - 7 x = 0:
100 - 2 x = 30
Subtract 100 from both sides:
(100 - 100) - 2 x = 30 - 100
100 - 100 = 0:
-2 x = 30 - 100
30 - 100 = -70:
-2 x = -70
Divide both sides of -2 x = -70 by -2:
(-2 x)/(-2) = (-70)/(-2)
(-2)/(-2) = 1:
x = (-70)/(-2)
The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:
Answer: x = 35
Answer:
x = 35
Step-by-step explanation:
5(x+20)= 7x+30
5x + 100 = 7x + 30
-30 -30
5x + 70 = 7x
-5x -5x
70 = 2x
/2 /2
35 = x
Cost of a sled: $49.50
Markup: 80%
What’s the selling price
Answer:
39.6
Step-by-step explanation:
On a coordinate plane, which BEST describes where the point (0, 11) lies?
A) in Quadrant I
B) on the x-axis
C) on the y-axis
D) in Quadrant II
Answer:
The y- axis
Step-by-step explanation:
If it was (0,0) then the x and y would not matter but in this cause the answer is the y axis because it has a point to it but not the x. It is not Quadrant 2 or 1 because it does not matter what box it is in all that matters is where the points are located
oops I mest upStep-by-step explanation:
Jaxson and his children went into a movie theater and he bought $42.50 worth of drinks and candies. Each drink costs $6 and each candy costs $3.25. He bought a total of 8 drinks and candies altogether. Write a system of equations that could be used to determine the number of drinks and the number of candies that Jaxson bought. Define the variables that you use to write the system.
Answer:
6d+3.25c=42.50
d+c=8
Step-by-step explanation:
let's say d is for drinks and c is for candy.
each drink is $6
each candy is $3.25
the porblem told us our total $42.50
so if we mulitpy the cost of each drink and candy together
6d+3.25c=42.50
and
Since he bought a total of 8 drinks and candies, we know that d+c=8
Answer:
Let d = the number of drinks
Let c = the number of candies
6d+3.25c=42.50
d+c=8
Complex Numbers in Polar Form Connexus
1. C
z = 6sqrt2 ( cos 3pi/4 + isin 3pi/4)
2. B
z = 6sqrt3 cis 11pi/6
3. D
z = -sqrt3 + 1
What is the median of this set of data?
1, 2, 5, 6, 9
A. 1
B. 5
C. 8
D. 9
Answer:
the answer would be B because median is the middle. think of it like the middle of the highway where it has the small trees, thats called the median. therefore 5 is the number in the middle of the number sequence
Answer:
B
Step-by-step explanation:
A cone is stacked on top of a cylinder. They both share a circular base. The total height of the composite figure is 25. The height of the cylinder is 13 and the radius is 5.
Which expression represents the volume, in cubic units, of the composite figure?
Pi(52)(13) – One-third pi (52)(12)
Pi(52)(13) – One-third pi (52)(25)
Pi(52)(13) + One-third pi (52)(12)
Pi(52)(13) + One-third pi (52)(25)
Answer:
C
Step-by-step explanation:
[tex]\pi (5^{2})(13)+\frac{1}{3} \pi (5^{2})(12)[/tex]
The expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).
What is the volume of the composite figure?The volume of the composite figure is the sum of the volume of the cone and the volume of the cylinder.
A cone is stacked on top of a cylinder.
They both share a circular base.
The total height of the composite figure is 25.
The height of the cylinder is 13 and the radius is 5.
The expression represents the volume, in cubic units, of the composite figure;
The volume of a cylinder = πr²h
π = 22/7
r = radius = 5
h = height = 13
The volume of a cylinder = π(5²)(13)
The volume of a cone = 1/3(πr²h)
π = 22/7
r = radius
h = height = 25 - 13 = 12
The volume of a cone = (1/3)(π(5²)(12)
The expression represents the volume, in cubic units, of the composite figure is;
= Pi(5^2)(13) + One-third pi (5^2)(12).
Hence, the expression that represents the volume of the composite figure is Pi(5^2)(13) + One-third pi (5^2)(12).
To learn more about the volume of a cone, please check: brainly.com/question/13705125
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idk what to do i need help asap please & thank you
Answer:
[tex]170(1.3)^{t}[/tex]
Step-by-step explanation:
For this formula it would be exponential growth. The formula for exponential growth is: [tex]y = a(1+r)^{t}[/tex]
a is the initial value
r is the growth rate
t is the number of time intervals that have passed in the given situation
In this problem, you would substitute the r for the given percent (0.3) and substitute the a for 170 as the initial value. The equation would then be:
[tex]170(1.3)^{t}[/tex]
i hope this explanation is helpful
Which expressions is the same as 1/5 of 7
steve has a photo and a rectangular piece of card. the photo is 16cm by 10cm. the card is 30cm by 15cm. steve cuts along the dotted line shown in the diagram below teve throws away the piece of card that is 15 cm by x cm. The piece of card he has left is mathematically similar to the photo. Work out the value of x.
Answer:
24cm
Step-by-step explanation:
The photo stays the same, the card changes. They must be proportional to each other.
15 by x cm means the 30 is going to be shortened, since it is being cut.
16 / 10 = 1.6
1.6 x 30 = 24
or
[tex]\frac{16}{10} = \frac{x}{15} \\\\Divide\\\\\frac{16}{10} *\frac{15}{x} = \frac{240}{10x} = 24[/tex]
Simplify: -4 1/5- (-13 1/10)
Answer:
.
Step-by-step explanation:
ASAP!! Please Help! Show Work!! Thx
Answer:
37
Step-by-step explanation:
To find the side length in the middle is 12. This is because A(12) squared + B(5) squared = C(13) squared.
Now that we know the side length, we can find x. A(35) squared + B(12) squared = C(x) squared.
35*35=1225.
12*12=144.
1225+144=1369
The root of 1369 is 37, so the value of x is 37.
a. 7/25
b. 7/24
c. 24/25
d. 24/7
c. 24/25
Step-by-step explanation:
[tex] \bigg(\frac{7}{25}, \: \frac{24}{25}\bigg) =\bigg(x, \: y\bigg) \\
\therefore x = \frac{7}{25}, \:\: y= \frac{24}{25}, \: r = 1\\
\because \sin \theta = \frac{y}{r}\\
\therefore \sin \theta = \frac{ \frac{24}{25}}{1}\\
\huge \purple {\boxed {\therefore \sin \theta =\frac{24}{25}}} [/tex]
7. Bryan and Daniel ordered a pizza. There were 24 slices. Daniel ate seven times as many slices as Bryan. How many
slices did each one eat?
steps ?
Answer:
Bryan pizza slices: x
Daniel pizza slices: y
Total slices: 24
[tex]y=7x\\y+x=24\\\\7x+x=24\\8x=24\\x=3[/tex]
Daniel ate 21 slices of pizza.
Bryan ate 3 slices of pizza.
The city plan includes parks reopening with probability = 1/2, diners with 20% chance, and dental offices with probability = 0.3. According to the plan, in what order will these three areas reopen?
Answer:
Parks, then dental offices, and finally diners
Step-by-step explanation:
Parks = 50%
Diners = 20%
Dental offices = 30%
Order the place in order of decreasing probability.
If this answer is correct, please make me Brainliest!
Answer:
1) Parks,
2) Dental offices,
3) Diners
Step-by-step explanation:
½ = 0.5
20% = 0.2
0.5 > 0.3 > 0.2
Parks, Dental offices, Diners
Juanita is shopping for a new shirt, and she has narrowed her decision down to two. Both shirts are $35, and both are on sale. Shirt A is 25% off. Shirt B is $10 off. Which shirt is the better deal?
I'm pretty sure the better deal would be shirt a
if I'm wrong don't get mad
A circle has a circumference of 11,304 units.
What is the diameter of the circle?
Answer:
3,600 units
Step-by-step explanation:
divide 11,304 by 3.14 and you get,
3,600.
(basically reversed way of trying to find the circumference)
Answer:
d=3600
Step-by-step explanation:
C=πd
11,304=3.14d
divide:11,304÷3.14=3600
C=11,304=3.14*3600
n-1/10=2/3 pls help with this
Answer:
n=23/30
Step-by-step explanation:
n-1/10=2/3
n=1/10+2/3
n=3/30+20/30
n=23/30
Answer:
N=23/30
Step-by-step explanation:
n-1/10=2/3
n=1/10+2/3
n=3/30+20/30
n=23/30
Which function is equivalent to g(x) = x2 + 15x -54?
Answer: (x+18)(x-3)
Step-by-step explanation:
It matched (sorry for no explanation)
The equivalent form of the given expression of the function is [tex]g(x)=(x+18)(x-3)[/tex].
Given information:
The given expression of the function is [tex]g(x) = x^2 + 15x -54[/tex].
We have solve the expression of function to get a relevant expression.
The function is a quadratic polynomial function. So, here we can factorize it as,
[tex]g(x) = x^2 + 15x -54\\g(x)=x^2+18x-3x-54\\g(x)=x(x+18)-3(x+18)\\g(x)=(x+18)(x-3)[/tex]
Therefore, the equivalent form of the given expression of the function is [tex]g(x)=(x+18)(x-3)[/tex].
For more details about polynomial, refer to the link:
https://brainly.com/question/3204522
The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches. A solid oblique pyramid has an equilateral triangle base with an edge length of 18 inches. What is the height of the triangular base of the pyramid? 9 √ 2 in. 9 √ 3 in. 18 √ 2 in. 18 √ 3 in.
Answer:
b.[tex]9\sqrt{3}in[/tex]
Step-by-step explanation:
We are given that
Length of equilateral triangle=a=18 in
Base of oblique pyramid is an equilateral triangle.
We have to find the height of the triangular base of the pyramid
Height of the triangular base of the pyramid,h=[tex]acos\theta[/tex]
We know that each angle of equilateral triangle =60 degree
[tex]\theta=\frac{60}{2}=30^{\circ}[/tex]
Substitute the values
Height of triangular base of the pyramid,h=[tex]18cos30=18\times \frac{\sqrt 3}{2}[/tex]in
Using the value of
[tex]cos30^{\circ}=\frac{\sqrt 3}{2}[/tex]
Height of triangular base of the pyramid,h=[tex]9\sqrt{3}in[/tex]
Option b is true.
Answer:
It's the second option 9 √ 3 in
Step-by-step explanation:
just did it on edge
simplify a⁵ × (a³)²
Answer:
[tex]a^{11}[/tex]
Step-by-step explanation:
In solving for a⁵ × (a³)², we need to follow the rules of PEMDAS
Therefore, your equation would look like this:
a⁵ × (a³)² = a⁵ × [tex]a^{6\\[/tex]
When two variables are the same, we add their exponents when multiplying and we would subtract them if we divided.
With that information, your final answer would be
[tex]a^{11}[/tex] as 5+6 = 11
Hope this Helps!
In mathematics, the expression a⁵ × (a³)² simplifies to a¹¹ by following rules of exponents. Simplify within parentheses first to get a⁶, then combine to get a¹¹.
Explanation:The term a⁵ × (a³)² represents the product of a number 'a' raised to the power of 5 and 'a' raised to the power of 3, squared. To simplify an expression like this, use the rule of exponents that states: aⁿ * aᵐ = aⁿ+ᵐ and for (a^n)^m, this equates as a^(n*m).
Start by simplifying the exponent in the parentheses first: (a³)² = a^(3*2) = a⁶. Then you're left with a⁵ × a⁶. Using the rules of exponents again, you add the powers together: a^(5+6) which simplifies to a¹¹.
Learn more about Simplify expressions here:https://brainly.com/question/36385368
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Draw a model and write an equation to represent “ 4 times as many as 3 is 12. “ Explain your work
Answer:
4x+3=12
Step-by-step explanation:
A restaurant chain wanted to
find out how the food was in
their store. Identify which
choice best represents a
sample.
A. 100 customers who spent over $50
B. All of the people who ate at the
restaurant on Friday
C. 1 out of every 50 customers.
7.SP.1
Answer:
C
Step-by-step explanation:
The first three terms of an arithmetic sequence are as follows.
39, 32, 25
Find the next two terms of this sequence.
Answer:
18,11
Step-by-step explanation:
seven is reduce in all terms
Answer:
18, 11
Step-by-step explanation:
just took a test
Hi! Can someone help me with this?
Answer:
The answer is 4.3
1.8 + 2.5 = 4.3
Hope it helped :)
Step-by-step explanation:
Please mark brainliest :)
A circle has a circumference of 5. An arc in the circle has a central angle of 162°. What is the length of the arc?
Answer:
The length of the arc is 2.25 units.
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex], where r is radius of the circle.
Total angle of a circle in degree is 360°.
Length of central angle formula
[tex]\textrm{Arc length}=\frac{2\pi r}{360^\circ}\times \textrm{central angle degree}[/tex]
[tex]\Rightarrow \textrm{Arc length}=\frac{\textrm{circumference}}{360^\circ}\times \textrm{central angle degree}[/tex]
Given that,
A circle has a circumference of 5 units.An arc in the circle has a central angle of 162°.
Then,
[tex]\textrm{Arc length}=\frac{\textrm{circumference}}{360^\circ}\times \textrm{central angle degree}[/tex]
[tex]\textrm{Arc length}=\frac{5}{360^\circ}\times162^\circ[/tex]
[tex]=\frac{810}{360}[/tex]
[tex]=\frac{9}{4}[/tex]
=2.25 units.
The length of the arc is 2.25 units.
Answer:
14.14 units
Step-by-step explanation:
Klan Academy - i checked and it was correct.
Which fraction has the greatest value 1/3 2/3 2/9 2/9
Answer:
Fraction 2/3 has greatest value among the fractions 1/3, 2/3, and 2/9.
Greatest fraction to be determine among the fractions 1/3, 2/3, and 2/9.
What is the fraction?
Fraction is defined as the number of composition constitute the Whole.
Here,
1/3 = 0.33, 2/3 = 0.66 and 2/9 = 0.22.
2/3>1/3>2/9
Thus, fraction 2/3 has greatest value among the fractions 1/3, 2/3, and 2/9.
What is absolute value
there is 2 definitions math and technical
Step-by-step explanation:
math=the magnitude of a real number without regard to its sign.
technical=the actual magnitude of a numerical value or measurement, irrespective of its relation to other values.
hope this helped
Answer: "distance from zero on a number line"
Explanation: Absolute value means "distance from zero" on a number line.
Since distance can either be 0 or positive,
absolute value is either 0 or positive.
Absolute value is represented with vertical bars on either side of the number.
An example is shown below, we have the absolute value of -5.
The absolute value of a number is just
the positive version of that number.
So the positive version of -5 is 5.
Round to the underlined place
Answer:
I think its 12.0 not sure
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
11.9781
This is simple if its 1-4 it goes down a number 5-9 it goes up
its 7 is the one to the right so the 9 to the left goes up which makes the whole number round up so the answer is 12 :)
I hope this helps :)
A car is purchased for $23,500. After each year, the resale value decreases by 25%. What will the resale value be after 3 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$5,875
Step-by-step explanation:
Answer:
After 3 years it will be $9,400
Step-by-step explanation:
First multiply 23,500 by .20 and get 4700. Now multiply by 3 which is 3 years and it equals 14,100. Now subtract from 23,500-14,100 and get 9,400.
WILL GIVE BRAINLYEST TO FIRST NEED ASAP
The box plot shows the number of years during which 16 schools have participated in a marching band competition:
At least how many schools have participated for 3 to 7 years? (4 points)
Group of answer choices
3 schools
5 schools
7 schools
8 schools
Answer:
122
Step-by-step explanation:
hope thats itbecause i just times 16x7 \_(^-^)_/
Answer:
8 schools
Step-by-step explanation:
read