Answer:
[tex]62[/tex]
Step-by-step explanation:
[tex]8\cdot \:7\frac{3}{4}[/tex]
[tex]7\frac{3}{4}[/tex]
[tex]7\frac{3}{4}=\frac{7\cdot 4+3}{4}[/tex]
[tex]=\frac{31}{4}[/tex]
[tex]=8\cdot \frac{31}{4}[/tex]
[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:8=\frac{8}{1}[/tex]
[tex]=\frac{8}{1}\cdot \frac{31}{4}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]=\frac{8\cdot \:31}{1\cdot \:4}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:1\cdot \:4=4[/tex]
[tex]=\frac{8\cdot \:31}{4}[/tex]
[tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2[/tex]
[tex]=2\cdot \:31[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:31=62[/tex]
[tex]=62[/tex]
Find the indicated side of the triangle using
the properties of a 30-60-90 triangle.
b
a
30°
12
b =
M
[?]
Enter
Check the picture below.
A roll of film for this camera costs $4.79. There
are 16 shots on the roll. It costs $12.17 to get
the film developed. What is the total cost of the
16 photos? How much does each snapshot cost
including the film and the developing?
Answer:
The total cost is $16.96
The cost per photo is $1.06
Step-by-step explanation:
Hello!
Part 1:1 roll of film costs $4.79. 1 roll of film has 16 photos. To develop the 16 photos, you need to pay $12.17.
First, let's find the total cost for the film and the development for 1 roll of film:
Total Cost = Cost of Film + Cost of developingTotal Cost = $4.79 + $12.17Total Cost = $16.96The total cost of 16 photos is $16.96
Part 2:Now, we have to find the price per picture on the roll of film. We know that there are 16 shots on the film, so we can simply divide the total price by 16 to find the price per picture.
Divide:
$16.96 ÷ 16($16 ÷ 16) + ($0.96 ÷ 16)$1 + $0.06$1.06The price per photo is $1.06
On a certain hot summer day 438 people use the public swimming pool the daily prices are 1.50 for children and 2.00 for adults three receipts for admission totals $817 how many children and how many adults swim in the public pool that day
On a certain hot summer day 438 people use the public swimming pool the daily prices are 1.50 for children and 2.00 for adults three receipts for admission totals $817 how many children and how many adults swim in the public pool that day
[tex]c + a = 438 \\ 1.50c + 2.00a = 817\\ a = 438 - c \\ 1.50c + 2.00(438 - c) = 817 \\ 1.50c + 876 - 2.00c = 817 \\ [/tex]
1.5c+876−2c=817
Step 1: Simplify both sides of the equation.
1.5c+876−2c=817
1.5c+876+−2c=817
(1.5c+−2c)+(876)=817(Combine Like Terms)
−0.5c+876=817
−0.5c+876=817
Step 2: Subtract 876 from both sides.
−0.5c+876−876=817−876
−0.5c=−59
Step 3: Divide both sides by -0.5.
[tex]c = \frac{ - 59}{ - 0.5} [/tex]
c=118
in the first formula
[tex]a = 438 - c \\ a = 438 - 118 \\ a =320[/tex]
On a certain hot summer day 438 people use the public swimming pool the daily prices are 1.50 for children and 2.00 for adults three receipts for admission totals $817 how many children and how many adults swim in the public pool that day
[tex]c + a = 438 \\ 1.50c + 2.00a = 817\\ a = 438 - c \\ 1.50c + 2.00(438 - c) = 817 \\ 1.50c + 876 - 2.00c = 817 \\ [/tex]
1.5c+876−2c=817
Step 1: Simplify both sides of the equation.
1.5c+876−2c=817
1.5c+876+−2c=817
(1.5c+−2c)+(876)=817(Combine Like Terms)
−0.5c+876=817
−0.5c+876=817
Step 2: Subtract 876 from both sides.
−0.5c+876−876=817−876
−0.5c=−59
Step 3: Divide both sides by -0.5.
[tex]c = \frac{ - 59}{ - 0.5} [/tex]
c=118
in the first formula
[tex]a = 438 - c \\ a = 438 - 118 \\ a =320[/tex]
A square has a side length of 18x + 48. What is the perimeter of the square?
Answer:
72x + 192 units
Step-by-step explanation:
The perimeter of a square is 4s, where s = side. We are given one side length as 18x + 48.
[tex]4(18x+48)[/tex] [tex](4)(18x)+(4)(48)[/tex][tex]72x+192[/tex]Therefore, the answer is 72x + 192 units.
what is 10 divided by 2 + 17(x-5)
Answer:
x2 + 3x - 2 im sorry if im wrong
Step-by-step explanation:
Answer:
10/17x-83
Step-by-step explanation:
You can't simplify the numerator.
You use the distributive property to open up 17(x-5).
17x-85
10/17x-85-2 Simplify -83 and -2
-85+2=-85
So then 10/17x-83
There is a bag filled with 5 blue, 6 red and 2 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 the same colour?
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Let's separate into 3 cases:
Note that we put the number of color balls we want in the numerator and the total number of color balls remaining in the denominator.
Case 1: 2 blue marbles
[tex]\frac{5}{13} * \frac{4}{12} = \frac{5}{39}[/tex]
(There were 5 blues originally, and 4 blues after 1 blue is taken out, same logic but different colors and values in case 2 and 3.)
Case 2: 2 red marbles
[tex]\frac{6}{13} * \frac{5}{12} = \frac{5}{26}[/tex]
Case 3: 2 green marbles
[tex]\frac{2}{13} * \frac{1}{12} = \frac{1}{78}[/tex]
Now add up all 3 cases and you will have the probability as required.
[tex]\frac{5}{39} +\frac{5}{26}+ \frac{1}{78} = \frac{1}{3}[/tex]
Which expression can be simplified to find the slope of the trend line in the scatterplot?
answer choices are:
2-8/78-87
78-87/8-2
78-8/87-2
8-2/78-87
Answer:
B - StartFraction 78 minus 87 over 8 minus 2
For an object whose velocity in ft/sec is given by v(t) = -3t2 + 5, what is its displacement, in feet, on
the interval t = 0 to t = 2 secs?
Step-by-step explanation:
To find the displacement I'll give you two ways since I don't know if you had experience with calculus. So here's both ways.
Way 1: Graph 1: Geometric Apporoach.
I'll a graph where t is x axis and v is y axis. So we have a velocity versus time graph.
Then, we graph the function
Look Above this what graph I get
Now, to find displacement,
Remeber displacement is the product of velocity and time. So here displacement is area under the curve.
We want displacement from 0 to 2. so let form the shape under the curve.
Look at the second graph, we form a triangle and we get this
Area of Triangle is 1/2 bh.
The base is 2 and the height is -6 so we get
[tex] \frac{1}{2} (2)( - 12) = - 12[/tex]
Our height is -12 because velocity is a vector so it can be negative and down is negative.
So the displacement is -12
Way 2: Calculus Way.
We can use integration to find the answer.
[tex]∫(f(x)dx[/tex]
So now we have
[tex]∫( - 3 {t}^{2} + 5)dx[/tex]
[tex]∫( - 6t)[/tex]
Now we do,
[tex]∫( - 6(0 ) + - 6(2) = - 12[/tex]
So the area under the curve is -12. Thus displacement is -12
31+4x-10=2x+5
please help this is for geometry I will give brainliest
Answer:
21+4x=2x+5
4x-2x=5-21
2x=-26
x=-13
Step-by-step explanation:
Hope this helps!
If not I'm sorry.
Answer:
x = -8
Step-by-step explanation:
31 + 4x-10 = 2x + 5
21 + 4x = 2x + 5
Determine the slope of the line.
A. -4
B. -1/4
C. 1/4
D. 4
Answer: C
Step-by-step explanation: Hope I help
PLEASEEEEEEEEEEE HELPPPP WILL GIVE BRAINLIEST!!!!!!!PLEASEEEEEEE
Answer:
7f lenghtg is 29.2
Step-by-step explanation:
What theorem shows that DEF ≅ GFE?
Answer:
propotional theorem
Step-by-step explanation:
Propotional theorem is the suitable theorem
Answer:ASA
Step-by-step explanation: Because there is a Angle then side then another angle connecting them if you are on savvas
give f(x) = 3x + 3, solve for x when f(x) = 6
Answer:
x = 1
Step-by-step explanation:
f(x) = 3x + 3
f(x) = 6
=> 3x + 3 = 6
=> 3x = 3
=> x = 1
Number 9 or 11 please
Answer:
Step-by-step explanation:
Use the simple interest formula
Where interest = Principal * Rate * Time
A = $1,840.00
I = A - P = $240.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 1600(1 + (0.05 × 3)) = 1840
A = $1,840.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,600.00 at a rate of 5% per year for 3 years is $1,840.00.
Help!!!! Me Please Its A Math Question ! What is the range of the quadratic equation whose graph contains the following points?
Vertex at (0, 4)
Other points on graph are (-2, 0), (-1, 3), (1, 3) and (2, 0).
Question options:
y>4
y≤4
y<4
y≥4
Answer:
It would be y≤4
Step-by-step explanation:
Charles ran a total of 54.8 miles this week. Jaime ran 0.55 times as many as Charles. How many miles did Jaime run?
Answer:
84.94
Step-by-step explanation:
54.8 X 0.55 = 30.14
54.8 + 30.14 = 84.94
Jaime ran 84.94 miles.
Have an amazing day!
Please mark brainliest!
What does a equal in -3=3a+6
Answer:
By definition, -6 is the additive inverse of 6, which is that number that when added to 6 gives zero.
Answer:
-3=3a +6
-3a=6+3
a=-3
so the answer would be -3
What does it mean to integrate a function in calculus?.
Answer:
See below
Step-by-step explanation:
Integrating a function basically means you are taking the inverse of finding a derivative of the function. Integration is used to find the area under a curve or multiple curves, or even volume.
For instance, [tex]\int\limits^ {}2x \, dx=x^2+C[/tex] because the derivative of [tex]x^2[/tex] is [tex]2x[/tex].
A rectangle has an area of 342 square meters. The width is 2 more than 4 time the length. Find the length and width, in meters of the rectangle
Answer:
length: 9 mwidth: 38 mStep-by-step explanation:
Let x represent the length of the rectangle. The the width is (4x+2) and the area is ...
x(4x+2) = 342
2x² +x - 171 = 0 . . . . . divide by 2, rearrange to standard form
(2x +19)(x -9) = 0 . . . factor
x = -19/2 or +9 . . . . . the length is the positive solution: 9
(4x+2) = 4(9) +2 = 38 . . . . find the width from the length
The length of the rectangle is 9 meters. The width is 38 meters.
You bought a magazine for $5 and four eralers. You spent a total of $25. How much did
each eraser cost? (Define 'n' and write the equation.)
n=cost of 1 eraser; 5-4n = 25
n=cost of 1 eraser; 5 + 4n = 25
n=total cost of erasers; 5 + 4n = 25
n=cost of 1 eraser; 5n + 4 = 25
Answer:
b. n=cost of 1 eraser; 5 + 4n = 25
Step-by-step explanation:
i hope this helps! have a wonderful rest of ur day :)
and if its not too much to ask could you mark me as brainliest pls
im trying to rank up this month and i only need 1 more, if not then its ok! ty and let me know if you need any more help!!
In a P.T.A meeting with 150 parents, there were four times as many women as men.
How many
(a) men were in the meeting
(b women were in the meeting
What are symbols of inclusion
Answer:
Symbols of inclusion are symbols used in mathematical expressions that group terms or factors together. They indicate that when we are simplifying expressions, we are to perform what's inside the symbols first. The three types of symbols of inclusion are parentheses, brackets, and braces.
4x^2 -1= 6x
Use the quadratic formula
The midpoint of the segment as an ordered pair (-6,-1,) (-1,-6)
Answer:
Step-by-step explanation:
(-6,-1) & (-1,-6)
[tex]Midpoint=\left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\\\=\left(\dfrac{-6-1}{2},\dfrac{-1-6}{2} \right)\\\\\\=\left(\dfrac{-7}{2},\dfrac{-7}{2} \right)\\\\\\[/tex]
= (-3.5 , -3.5)
Answer:
[tex]\boxed{\sf{(-3.5 , -3.5)}}}[/tex]
Step-by-step explanation:
This problem must be solved using the midpoint formula, which is similar to a slope formula.
Midpoint formula: [tex]\sf{(X_1,Y_1)}(X_2,Y_2)[/tex]
[tex]\sf{(\dfrac{x_2+x_1}{2},\quad \dfrac{y_2+y_1}{2})}[/tex]
y2=(-6)
y1=(-1)
x2=(-1)
x1=(-6)
Rewrite the problem and then solve it.
[tex]\left(\dfrac{-1-6}{2},\:\dfrac{-6-1}{2}\right)=-\sf{\dfrac{7}{2}, -\dfrac{7}{2}}[/tex]
Dividing is another option.
-7/2=-3.5
(-3.5, -3.5)
As a result, the final answer is (-3.5, -3.5).
I hope this helps! Let me know if my answer is wrong or not.
3a-2/3+2a+3/2=a+7/6.find a
I think your question seems to be ;
[tex]{\:\implies \quad \sf 3a-\dfrac23 +2a+\dfrac32 =a+\dfrac76}[/tex]
So I will be solving for that ;
[tex]{\:\implies \quad \sf 3a+2a+\left(\dfrac32 -\dfrac23\right)=a+\dfrac76}[/tex]
[tex]{\:\implies \quad \sf 5a+\left(\dfrac{9-4}{6}\right)=a+\dfrac76}[/tex]
[tex]{\:\implies \quad \sf 5a+\dfrac56 =a+\dfrac76}[/tex]
[tex]{\:\implies \quad \sf 5a-a=\dfrac76 -\dfrac56}[/tex]
[tex]{\:\implies \quad \sf 4a=\dfrac{7-5}{6}}[/tex]
[tex]{\:\implies \quad \sf 4a=\dfrac26}[/tex]
[tex]{\:\implies \quad \sf 4a=\dfrac13}[/tex]
[tex]{\:\implies \quad \sf a=\dfrac{1}{3\cdot 4}}[/tex]
[tex]{\:\implies \quad \bf \therefore \quad \underline{\underline{a=\dfrac{1}{12}}}}[/tex]
Write the sentence as an equation.
the product of b and 256, plus 17 is 190
i will give brainliest
Product of b and 256 means multiplication
b×256=256bPlus 17 means addition
256b+17Now combine to firm expression
256b+17=90Lets solve it out
256b=73b=73/256Julie buys a pair of jeans that cost $39. If they have a 25% discount, what is the sale price of the jeans?
Answer:
$29.25
Step-by-step explanation:
39 x .25 = 9.75
39 - 9.75 = 29.25
A movie theater sells 12 large bags of popcorn and 25 small bags of popcorn for $227. A large bag of popcorn cost $3.50 more than a small bag of popcorn. how much does each size cost?
The large bag of popcorn cost $8.50 while the small bag of popcorn cost $5
VariablesVariables are letters use to represent number in an equation. Therefore,
Let
x = cost of small bag of popcorny = cost of large bag of popcornA large bag of popcorn cost $3.50 more than a small bag of popcorn. Therefore,
y = 3.50 + xA movie theatre sells 12 large bags of popcorn and 25 small bags of popcorn for $227. Therefore,
12y + 25x = 227Let's combine the equation
y - x = 3.50
12y + 25x = 227
12y - 12x = 42
37x = 185
x = 185 / 37
x = 5
Therefore,
y = 3.50 + 5
y = 8.50
learn more on algebraic expression here: https://brainly.com/question/12289581
Train tracks are made of metal. Consequently, they expand when it's warm and shrink when it's cold. When riding in a train, you hear the clickety-clack of the wheels going over small gaps left in the tracks to allow for this expansion. Suppose you were a beginner at laying railroad tracks and forgot to put in the gaps. Instead, you made a track 01 mile long that was firmly fixed at each end. On a hot day, suppose the track expanded by A = 8 feet and therefore buckled up in the middle, creating a triangle.
The height of the triangle that forms the train track is 145,38 ft
How to calculate the height of the triangle?To calculate the height of the triangle we must take into account the information provided by
Base of the triangle = 1 mile = 5280 feetRailroad track expansion = 8 feetAccording to the above, we must perform the following operations:
5280 ÷ 2 = 26408 ÷ 2 = 42640 + 4 = 2644
Subsequently, we must apply the Pythagorean theorem to find the height of the triangle having 2 data:
Base: 2640ftHypotenuse: 2644 ft2644² = x² + 2640²x² = 2644² - 2640²x = [tex]\sqrt[2]{2644^{2} + 2640^{2}}[/tex].x = [tex]\sqrt[2]{21137}[/tex]x = 145,38 ftThat makes x approximately 145,38 ft.
Learn more about triangles in: https://brainly.com/question/2269348
Sarah and Nathan each picked a bucket of strawberries. Sarah picked 4 1/4 pounds, and Nathan picked 3 3/ 4pounds. How many pounds did they pick altogether?
8 pounds
7 pounds
8 1/2 pounds
7 1/2 pounds
Answer:
8 pounds
Step-by-step explanation:
Take the 3 and 4 pounds at them together to get 7.
3/4 and 1/4 add up to one
1 + 7 equals 8