Answers
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \tt \dashrightarrow \:6 \frac{5}{8} + 4 \frac{3}{4} [/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{53}{8} + \frac{19}{4} [/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{53 + 38}{8} [/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{91}{8} [/tex]
[tex]\qquad \tt \dashrightarrow \: 11\frac{3}{8} [/tex]
[tex]6 \frac{5}{8} + 4 \frac{3}{4} [/tex]
to find:the simplest form.
solution:[tex] \frac{53}{8} + \frac{19}{4} [/tex]
[tex] = \frac{(53 \times 4) + (19 \times 8)}{8 \times 4} [/tex]
[tex] = \frac{212 + 152}{32} [/tex]
[tex] = \frac{364}{32} [/tex]
[tex] = 11 \frac{3}{8} [/tex]
Related Questions
Six different names were put into a hat. A name is chosen 125 times and the name Grace is chosen 17 times. What is the experimental probability of the name Grace being chosen? What is the theoretical probability of the name Grace being chosen? Use pencil and paper. Explain how each probability would change if the number of names in the hat were different.
Question content area bottom
The experimental probability of choosing the name Grace is __
(Type an integer or a simplified fraction.)
Answers
Answer:
Step-by-step explanation:
The experimental probability of choosing Grace is 13.6% (17/125*100)
The theoretical probability of choosing Grace is 16.67% (1/6)
Each probability would change because they depend on the data set so if the data set changes, that means the probability will also change depending on the amount it changes.
20 points and brainliest to the best correct answer, do and show work for numbers 13 and 15. Questions are in the photo, thank you.
Answers
Answer:
13. x=11; MN=65°; NP=115°; NQP=245°
15. x=9; AD=108°; BC=23°; DC=139°; DBC=221°
Step-by-step explanation:
13.The marked arcs are congruent, so we can equate the given expressions for their measures:
10x -45 = 6x -1
4x = 44 . . . . . . . . . add 45-6x
x = 11 . . . . . . . . . . divide by 4
The arc measures are found by using the value of x in the corresponding expression. Arcs around a circle total 360°.
arc MN = (10(11) -45)° = 65°
arc NP = 180° -65° = 115°
arc NQP = 360° -NP = 245°
__
15.The sum of arcs around a circle is 360°. We can use this fact to write an equation involving the given expressions. Clockwise from A, we have ...
90 +(2x +5) +(17x -14) +12x = 360
31x = 279 . . . . . . . subtract 81, collect terms
x = 9 . . . . . . . . . divide by 31
The arc measures are found by using the value of x in the corresponding expression.
arc AD = 12(9)° = 108°
arc BC = (2(9) +5)° = 23°
arc DC = (17(9) -14)° = 139°
arc DBC = 360° -DC = 221°
vertex (-3, -3), point (2,97) find equation of parabola in vertex form
Answers
Answer:
y = 4(x+3)^2 - 3
Step-by-step explanation:
Vertex form y = a(x+3)^2 -3 sub in 2,97 to calculate a
97 = a(2+3)^2 - 3
a = 4
Name the decimal illustrated by this model.
Answers
Answer:
1.97
Step-by-step explanation:
1 whole square is filled so that would equal 1
97 out of 100 squares in the second is filled so it would be = 0.97
combine them:
0.97+1=1.97
What is the rate of change and y intercept
Answers
Answer:
5
Step-by-step explanation:
Find the Surface Area.
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the concept of Surface areas and volumes.
Here we will find surface areas by adding individual parts.
Surface area ==> Small rectangle + big rectangle + base rectangle + 2* right angled triangles.
so we get as,
area of shape = 721.1 yards.
option D.) is correct.
Does Anyone know #19?
Answers
[tex]\text{Endpoints of diameter,}~~ A(4,6)~ \text{and}~ B(-3,-1)\\\\\text{Diameter,}~AB = \sqrt{(4+3)^2+(6+1)^2}\\\\~~~~~~~~~~~~~~~~~~~=\sqrt{7^2+7^2}\\\\~~~~~~~~~~~~~~~~~~~=7\sqrt2\\\\\text{So , radius}~ = \dfrac{AB}2 = \dfrac{7\sqrt 2}2 =4.9~\text{units.}\\\\\text{Hence the answer is B.}[/tex]
The base of a solid is a circle centered at the origin with a radius r, and every plane section perpendicular to a diameter is a square. What is the volume of the solid
Answers
The volume of the solid whose base is a circle centered at the origin with a radius r is 16r³/3 cubed unit.
What is the equation of circle?The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.
The equation of the circle can be given as,
[tex]x^2+y^2=r^2[/tex]
Here, (r) is the radius of the circle.
Rewrite this equation as,
[tex]y^2=r^2-x^2\\y=\sqrt{r^2-x^2}[/tex]
This will give you the half the length of the side. Thus, the length of the side of the square is,
[tex]s=2y=2\sqrt{r^2-x^2}[/tex]
The area of the square it square of its side. Thus, the area of the square is,
[tex]A(x)=s^2\\A(x)=(2\sqrt{r^2-x^2})^2\\A(x)=4(r^2-x^2})[/tex]
The volume of the solid can be got by integrating the area of the cross-section.
[tex]V=\int\limits {A(x)} \, dx[/tex]
Here, A(x), provides the area of the square at the point x. Thus,
[tex]V=\int\limits {A(x)} \, dx\\V=\int\limits_{-r}^r {4(r^2-x^2)} \, dx\\V=[ {4(r^2x-\dfrac{x^3}{3})}]^r_{-r}\\V= {4(r^2(r)-\dfrac{(r)^3}{3})}- {4(r^2(-r)-\dfrac{(-r)^3}{3})}\\V=4[r^3-\dfrac{r^3}{3}}+ {r^3-\dfrac{r^3}{3}]\\V=\dfrac{16r^3}{3}[/tex]
Thus, the volume of the solid whose base is a circle centered at the origin with a radius r is 16r³/3 cubed unit.
Learn more about the equation of circle here;
https://brainly.com/question/1506955
which set of side lengths would form a right triangle
Answers
These sets of numbers are called the Pythagorean triplets and are sets of 3 integers (let's call the a , b and c ) and satisfy the Pythagorean theorem: a² + b² = c² . That is, they could form a right triangle with sides of length a , b and c .
please help me!
What is the molarity of a solution composed of 5.85g of K dissolved in 0.125L of Water? Molar Mass for Ki= 166.1g/mol.
a. .282M
b. .182M
c. .0028M
d. 3.28M
Answers
Answer:butt no ayes
Step-by-step explanation:10 is a yes is no
I think it’s b but I’m not sure
Answers
Just look at the rounds mentioned and subtract the scores from higher round with lower round.
Look at A: round 2 score - round 1 score = -2?
-3 -1 = -4 change, not -2 change so it is wrong
Look at B: round 3 score - round 1 score =-1?
-2-1 =-3 change, not -1 change so it is wrong
Look at C: round 3 score - round 2 score =-1?
-2 -(-3) = 1 change, not -1 change so it is wrong
Look at D: round 3 score - round 1 score =-3?
-2-1 = -3 change, matches with -3 so it is correct.
Below is the table of values of a function. Write the output when the input is n
input 3 5 9 n
output 1 3 7 ?
what is the last output number?
Answers
Answer:
N=17
?=15
Explanation;
Check out my attached work
Hope it helps, let me know if you have any questions
A farmer need to build a goat pen. The pen will be 5 meters wide and 16 meters long. The fencing material costs $8. 00 per meter. How much will it cost to buy enough fencing material to build the goat pen
Answers
Answer:
$336
Step-by-step explanation:
Find the perimeter, 5x2 + 16x2 = 10 + 32 = 42
Fencing material = $8 per 1 meter
42 meters, so 42 * 8 = $336
If you were graphing y < -3x + 5, would you need a solid or broken line?
solid
broken
Answers
Answer:
broken
Step-by-step explanation:
when there isn’t an equals sign the line will always be broken
Can someone please help me?
Answers
Answer:
24
Step-by-step explanation:
area = wl (6×4 = 24)
w width l length
y is inversely proportional to a cubed
when a = 2 and y = 10
a is directly proportional to x
when x = 4 and a = 20
find a formula for y in terms of x
Answers
Answer:
[tex]y = kx \\ formula \: connecting \: y \: and \: x[/tex]
Don't Send links, don't Write random things and get the points for free.
Answers
Answer:
Option D, [tex]2010\ cm^3[/tex]
Step-by-step explanation:
Step 1: Determine the volume of a single cylinder
[tex]V=\pi r^2h[/tex]
[tex]V=\pi *(4\ cm)^2 * 10\ cm[/tex]
[tex]V = 3.14 * 16\ cm^2 * 10\ cm[/tex]
[tex]V = 502.4\ cm^3[/tex]
Step 2: Determine the total volume
[tex]502.4\ cm^3 * 4[/tex]
[tex]2,009.6\ cm^3[/tex]
Answer: Option D, [tex]2010\ cm^3[/tex]
Answer:
The last one :)
Step-by-step explanation:
I hoped this helped have a good day! <3
The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $65,000 10-year term policy for a 20-year-old female. Round your answer to the nearest cent
Answers
Answer:
273.00
Step-by-step explanation:
In PQR, P = 90°, Q = 40° and PR =9cm. Find the length of QR .
Answers
Answer:
QR = 14.00 cm to the neatest hundredth.
Step-by-step explanation:
This is a right triangle with < P = 90.
So QR is the hypotenuse.
< Q is the angle opposite to the line PR.
sin Q = opposite/hypotenuse = PR/QR
sin 40 = 9/QR
QR = 9/sin40
= 14.002 cm.
If a car travels 213 miles in 3 hours, how many miles will the car drive in 5 hours? pls help
Answers
Answer:
355 miles
Step-by-step explanation:
Figure out how far the car travelled in 1 hour - 3 hours can be divided by 3 for 1 hour, so do the same for the miles - 213 / 3 = 71 miles.
So we know the car travelled 71 miles in 1 hour.
Now just multiply the miles by 5 to figure out the answer - 71 * 5 = 355 miles
:)
HELPPPPPPPPPpppp med
Answers
Step-by-step explanation:
Using the formula:
Sin☆=Perpendicular ÷ Hypotenus
Sin☆ = 35 ÷ 48
Sin☆ = 0.7291666667
☆ = Sin^-1 (0.7291666667)
☆ =46.8165782066
where ☆= Degree.
Hence final answer is 46.816
I hope this is right.....
Peter weighs is 105 kg. His wants to lose 500 g per week. How many weeks will it take for him to have a mass of 90 kg
Answers
Answer:
30
Step-by-step explanation:
500 g = 1/2 kg => 2 weeks he loses 1 kg
105 - 90 = 15 kg
So he needs to take 30 weeks in total. ( 15 * 2)
Let weeks be x
So
105-0.5x=900.5x=105-900.5x=15x=15/0.5x=30weekshere are two column vectors
Answers
Answer:
[tex] a = ( \frac{ - 6}{2} )[/tex]
Step-by-step explanation:
-2g=?
[tex] - 2( \frac{3 }{ - 1} ) \\ \\ ( \frac{ - 6}{2} )[/tex]
What is the slope of a line that is parallel to the line represented by the equation : y = 5x - 3?
Answers
Answer:
5
Step-by-step explanation:
This line equation is in y = mx + b form m will be the slope
m = 5 parallel line will have same slope = 5
What is the multiplication problem that means the same thing as the division problem 1/3 ÷ 7?
Answers
Answer:
1/21 * 7 = 1/3
Step-by-step explanation:
The numbers in 1/3 divided by 7 are labeled below:
1 = numerator3 = denominator7 = whole numberTo make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:
1
-------
3 x 7
=
1
-----
21
Thus, the answer to 1/3 divided by 7 in fraction form is:
1/21
To make the answer to 1/3 divided by 7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
1/21 = 0.04761904761
1/21 * 7 = 0.3333333333.... ( 1/3 )
MODELING WITH MATHEMATICS The population P (in thousands) of Austin, Texas, during a recent decade can be approximated by y = 494.29 * (1.03) ^ f , where is the number of years since the beginning of the decade. a. Tell whether the model represents exponential growth or exponential decay b. Identify the annual percent increase or decrease in population . Estimate when the population was about 590,000 .
Show work
Answers
Answer:
a) growth
b) 3%
c) 6 years (since the beginning of the decade)
Step-by-step explanation:
Given:
The population P (in thousands) of Austin, Texas during a recent decade can be approximated by [tex]y=494.29(1.03)^t[/tex] when t is the number of years since the beginning of the decade.
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the y-intercept (or initial value)b is the base (or growth factor)x is the independent variabley is the dependent variableIf [tex]b > 1[/tex] then it is an increasing function
If [tex]0 < b < 1[/tex] then it is a decreasing function
a) The model represents exponential growth as 1.03 > 1
b) The annual percent increase of the population is 3%
1.03 - 1 = 0.03
0.03 x 100 = 3%
c) To estimate when was population about 590,000 set y = 590 and solve for t:
[tex]\implies 590=494.29(1.03)^t[/tex]
[tex]\implies \dfrac{590}{494.29}=(1.03)^t[/tex]
Take natural logs of both sides:
[tex]\implies \ln\left(\dfrac{590}{494.29}\right)=\ln (1.03)^t[/tex]
[tex]\implies \ln\left(\dfrac{590}{494.29}\right)=t\ln (1.03)[/tex]
[tex]\implies t=\dfrac{\ln\left(\dfrac{590}{494.29}\right)}{\ln (1.03)}[/tex]
[tex]\implies t=5.988069001...[/tex]
Therefore the population was about 590,000 6 years since the beginning of the decade.
The sum of two numbers is equal to 272. When the numbers are divided, the quotient is 3 and the remainder is 52. Find the difference of the numbers.
Answers
Answer:
the difference of the numbers are 217 and 55.
Step-by-step explanation:
a+b=272
a/b=3…52
a=3b+52
4b+52=272
4b=220
b=55
a=272-55=217
Jason's summer job allowed him to save $1200
to use as spending money throughout the
upcoming school year. To make sure he has
enough money, Jason plans to spend the same
amount each month and not run out of money
until the end of the school year in 10 months.
120x + y = 1200
Answers
Answer:Slope=-240.000/2.000=-120.000
Step-by-step explanation:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
120*x+y-(1200)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve 120x+y-1200 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
The number of hours, t, it takes a boat to travel 15 miles upstream is represented
by the given equation.
15
t=
r-c
Which equation represents the rate of the current, c, in terms of r, the rate of the
boat, and t?
A.
15 - rt
CE
15-16
BC=
rt - 15
c = - 7
C. C= -15+r+t
D. C = 15 -r-t
Answers
The equation of c is an illustration of subject of formula
The equation of c in terms of r and t is c = r - 15/t
How to determine the equation?The equation is given as:
t = 15/(r - c)
Cross multiply
t(r - c) = 15
Divide both sides by t
r - c = 15/t
Subtract r from both sides
-c = -r + 15/t
Multiply both sides by -1
c = r - 15/t
Take LCM
[tex]c = \frac{rt - 15}{t}[/tex]
Hence, the equation of c in terms of r and t is [tex]c = \frac{rt - 15}{t}[/tex]
Read more about subject of formula at:
https://brainly.com/question/10643782
Matt has a box that measures 23 feet long and 16 feet wide. The volume of the box is 4,416 cubic feet. What is the height of the box in yards?
Answers
Answer:
ok
Step-by-step explanation: