Answer:
$176
Step-by-step explanation:
Total: $320 Subtract 45%= 0.45 Decimal = 176
How you solve this by using solving proportions
3/(x + 4) = (x + 2)/5
Multiply both sides by 5 :
5 × 3/(x + 4) = 5 × (x + 2)/5
15/(x + 4) = x + 2
Multiply both sides by x + 4 :
(x + 4) × 15/(x + 4) = (x + 4) × (x + 2)
Provided that x + 4 ≠ 0, we can cancel the factors of x + 4 on the left side:
15 = (x + 4) (x + 2)
Expand the product on the right side:
15 = x² + 6x + 8
Move everything to one side:
0 = x² + 6x - 7
We can factorize easily in this case
0 = (x + 7) (x - 1)
Then
x + 7 = 0 or x - 1 = 0
⇒ x = -7 or x = 1
294 students went on a field trip. Five buses were filled and 14 students travelled in cars. How many students were in each bus?
Answer:
294 - 14 = 280 ÷ 5 = 56
In conclusion, there were 56 Students in each Bus.
A line passes through the points (3,16) and (6,19). Write a linear function rule in terms of x and y for this line.
Answer:
y=1x+13
Step-by-step explanation:
First find the slope of the line. Slope is (y2-y1)/(x2-x1). Plug in 19 for y2, 16 for y1, 6 for x2, 3 for x1. So (19-16)/(6-3) is 3/3 or 1. The slope of the line is 1.
take the equation y=mx+b and plug 1 in for the slope (m). Then plug in one set of points. Using (3,16) into y=1x+b, 16=1(3) + b. Solve for b. B is 13. So the linear equation is y=1x+13.
Factor the trinomial below.
x2 - 14x + 45
O A. (x-3)(x + 15)
O B. (x - 5)(x-9)
O C. (x-3)(x-15)
O D. (x - 5)(x + 9)
Answer:
The choice B. (x - 5)(x-9)
A right pyramid has a regular hexagon as a base. The slant height is 20, and the perimeter of its base is 10. What is the lateral surface area of the pyramid
Answer:
100 unit^2
Step-by-step explanation:
lateral surface area of right pyramid = .5*p*s
p = perimeter
s = slant ht
LS = 100 unit^2
The circumference of a circle is 31.4 yards. What is the circle's diameter? C=31.4 yd Use 3.14 for .
Step-by-step explanation:
c= 31.4
c= πDD= C/π
D= 31.4/3.14 = 10 yards[tex]\longrightarrow[/tex] 10 yards
Given :-[tex]\red{\leadsto}\:[/tex][tex]\textsf{Circumference \:of \:the \:circle} [/tex][tex]\sf= 31.4 \:yards [/tex]
Solution:-[tex]\green{ \underline { \boxed{ \sf{Circumference \: of \: the \: circle = 2πr}}}}[/tex]
r is radius of circle[tex]\begin{gathered}\\\implies\quad \sf Circumference \:of \: the \: circle = 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2πr= 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 2\times 3.14 \times r= 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 6.28 \times r= 31.4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf r= \frac{31.4}{6.28} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf r= 5 \:yards \\\end{gathered} [/tex]
[tex]\green{ \underline { \boxed{ \sf{Diameter = 2 \times radius }}}}[/tex]
[tex]\begin{gathered}\\\implies\quad \sf Diameter = 2\times 5\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf Diameter = 10 \: yards\\\end{gathered} [/tex]
Solve 3/4 divided by 5/6 and then reduce the answer.
Answer:
(3/4) : (5/6) = 910 = 0.9. Spelled result in words is nine tenths.
Step-by-step explanation:
Answer:
9/10
Step-by-step explanation:
to divide by a fraction, multiply by its reciprocal.
3/4 x 6/5
cancel the common factor of 2
3/2 x 3/5
multiply 3 x 3 and 2 x 5
9/10
the fraction is already reduced to the final answer is 9/10.
0
Select all the equations that are equivalent to this equation.
1/4 (8X + 56) = 20
56 + 8X = 80
14 = 20 – 8x
2X + 14 =5
How many solutions does the system of equations below have?
3x - 2y = 4
6x - 4y = -11
I think 3 or maybe 2 because if ........
Please can you help...
x/6 = -2
what is x
Answer:
x = -12
Step-by-step explanation:
[tex]\frac{x}{6}=-2[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}6[/tex]
[tex]\frac{6x}{6}=6\left(-2\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-12[/tex]
~Learn with Lenvy~
Answer:
[tex]\rm\hookrightarrow[/tex] x = -12
Step-by-step explanation:
[tex]Solution,\\\\\rm\hookrightarrow \frac{x}{6} =-2\\\\\rm\hookrightarrow x=-2\times6\\\\\rm\hookrightarrow x=-12[/tex]
At a concert 20% of the audience members were teenagers. If there were 1800 people at the concert, how many of those people were teenagers ?
Answer:
360 of the people were teenagers
Step-by-step explanation:
To find percentages you need to divide the number by 100
∴ 20% of 1800
=20 ÷ 100 ×1800
=360
∴ there were 360 teenagers at the concert.
30 POINTS: Two crocodiles together can finish their snack in 40 seconds. One of these crocodiles can finish it alone 60 seconds. How long would it take the second crocodile to finish the same snack?
Answer:
120
Step-by-step explanation:
took quiz it was correct!
Answer:
120
Step-by-step explanation:
the area of a square is equal to the area of a rectangle of length = 8cm breadth = 2cm .
what is the side of the square❓
Answer:
4 cm
Step-by-step explanation:
Area of rectangle = Area of square
= 8 x 2
= 16 cm²
Side length = √Area
= √16
= √4 x √4
= 4 cm
At a bowling alley, there is a flat fee of
$
5.00
to rent shoes. In addition, it costs
$
1.25
for each game bowled.
Which equation shows the total cost (
c
) for the number of games (
g
) one bowls?
c
=
1.25
g
+
5
, c is equal to 1 point 2 5 g plus 5
c
=
1.25
g
+
5
g
, c is equal to 1 point 2 5 g plus 5 g,
c
=
5
g
+
1.25
, c is equal to 5 g plus 1 point 2 5
c
=
6.25
+
1.25
g
Answer:
Step-by-step explanation:
I don't understand the options as written, but the correct equation would be:
C = $5.00 + 1.25g,
where C is the total cost and g is the number of games played.
Find the slope of a line going through (0, 4) and (-2, 2).
Answer:
slope = 1
Slope-intercept form: y = 1x + 4
Step-by-step explanation:
Plot the 2 points on a graph. Count the rise and the run from point A to point B. From point A, you go down 2 and to the left 2 to get to point B. Meaning, the slope is -2 over -2. (-2/-2)What is -2 divided by -2? Positive 1 From there you can use the point-slope formula and find the slope-intercept form.Hope this helps!
What is the measure of DAE?
B
E
31°
D
C
PLEASE HELPPP!!
Answer:
Since BAF is the opposite of DAE, they are equal to each other. 134 - 89 = 45. The correct answer is 45
Step-by-step explanation:
Your teacher announced a 50-point math quiz for tomorrow. The quiz will have 15 questions with word problems worth 4 points each and some open response questions worth 3 points each. Find the number of each type of question. You may use any of the methods to solve. Check your answer.
Answer:
5 word problems(4points each) & 10 open (3 points each)
Step-by-step explanation:
O= open response
W= word problems
W+O =15
4W + 3O = 50
multiply the first by -3 to eliminate O
-3W -3O = -45
4W + 3O = 50
AD BOTH
W = 5 ( 5 questions word problems)
O= 10 ( 10 questions open response)
5x4 = 20
10x3 = 30
20 + 30 = 50 points
You buy $2. 75$ pounds of pistachios and $2$ pounds of cashews. Do you pay more for the pistachios or for the cashews?
Answer:
pistachios
Step-by-step explanation:
you pay more for the pistachios because $2.75 is greater than $2
Determine if each set of numbers can be the lengths of the sides of a right triangle:
Solution:
The side lengths can only be classified as a right triangle if it is a Pythagorean triple. To classify the side lengths as a Pythagorean triple, it must satisfy "c² = b² + a²".
Where:
c = Longest side (Hypotenuse)b = Lega = LegChecking (5, 12, 13):
c² = b² + a²13² = 12² + 5²169 = 144 + 25169 - 144 = 2525 = 25 (Yes)Checking (12, 35, 20√3):
(20√3)² = 35² + 12²(20√3)(20√3) = 1225 + 1441200 = 1225 + 144 (No)Checking (5, 10, 5√5):
(5√5)² = 10² + 5²125 = 100 + 25125 = 125 (Yes)Checking (8, 12, 15):
15² = 12² + 8²225 = 144 + 64 (No)Checking (20, 99, 101):
101² = 99² + 20²10201 = 9801 + 40010201 = 10201 (Yes)need help with this problem.
Answer:
C) [tex]-\frac{47}{49}[/tex]
Step-by-step explanation:
By the cos double angle formula, we know [tex]\cos(2\theta)=2\cos^2\theta-1.[/tex] Substituting [tex]\cos \theta[/tex] into the formula, we get
[tex]\cos(2\theta)=2(-\frac{1}{7})^2-1\\~~~~~~~~~~=\frac{2}{49}-1\\~~~~~~~~~~=\boxed{-\frac{47}{49}}[/tex].
The answer is C.
Determine the value of x.
x feet
14 feet
48 feet
Answer:50 feet
142+482=502
196+2304=2500
Step-by-step explanation:
Brice used a $100 bill to pay for a $65. 82 purchase. How much change should he get back?
I need help with 2(4/3)x8x15+280919 we couldn’t use calculator
Answer:
281,319.005
Step-by-step explanation:
Because 2 and 4/3=3 and 1/3
Because since the numerator= 4 and the denomeyer is 3 we can add another whole number so 2 and 4/3 can add whole so 2 + 1=3 wholes with 1 left over so 3 1/3.
Next we do 3 1/3 x 8 which=26.667 also known as 26 2/3
Because 2/3=66.667.
Next we so 26 and 2/3 x 15=400.005
And last 400.005 + 280,919=281,319.005
Hope this helps have a great day:)
Factorise using suitable identity
1.a²+8a+16
Which event has a probability of 50%?
getting heads when tossing a coin
randomly selecting a red tile from a bag with 1 red tile and 3 blue tiles
rolling a 1 when rolling a number cube with faces numbered from 1 to 6
randomly selecting a vowel from the letters in the alphabet
Answer:
getting heads when tossing a coin
Step-by-step explanation:
there are only 2 options, heads or tails, and there's an equal chance of getting both.
Answer: A) getting heads when tossing a coin
simplify each expression
5/4÷7/16
-10/13×5/11
9/11÷(-20/21)
-8/3÷(-5/18
Answer:
5/4÷7/16=20/7
-10/13 x 5/11=-50/143
9/11÷(-20/21)=-189/220
-8/3÷(-5/18)=-48/5
Step-by-step explanation:
hope this helped!!
Find the volume of the triangular prism shown below:
Answer:
18 cm³
Step-by-step explanation:
To find the volume of a triangular prism, find the area of the cross-section (in this case, the triangle) and multiply it by the length.
The area of the triangle is 1/2 × 4 × 3 = 6 cm²
Now, multiply 6 by 3 to get 18 cm³
Hope this helps!
Please help (math) I hate math-
Answer:
D
Step-by-step explanation:
There are 3 adults going because when there are 9 students, there is one adult, so that means that you divide 9 from 27. The answer is 3. The last equation matches that operation because 9n means 9 multiplied with n is the same as 27.
Answer:
option D
Step-by-step explanation:
9 students = 1 adult
therefore, 9n = 27
Which line is perpendicular to y=2x+3 and passes through the point (0, 5)
Question 2 options:
A) y=2x+5
B) y=5x+2
C) y=12x+3
D) y=−12x+5
4 1/6 + 5 2/3
Enter your answer as a mixed number in simplest form
Answer:
above is the solution to the question