Answer:
[tex] \pink{ \pmb{SOLUTION:-}}[/tex]
Here,
Let x must be added.[tex]\displaystyle{ \frac{6 + x}{16 + x} = \frac{36 + x}{76 + x} }[/tex]
[tex](6 + x)(76 + x) = (36 + x)(16 + x)[/tex]
[tex]456 + 6x + 76x + {x}^{2} = 576 + 36x + 16x + {x}^{2} [/tex]
[tex]82x + 456 = 576 + 52x[/tex]
[tex]82x - 52x = 576 - 456[/tex]
[tex]30x = 120[/tex]
[tex]\displaystyle{x = \frac{120}{30} }[/tex]
[tex]{ \rightarrow{ \pmb{x = 4}}}[/tex]
simplify 1/2 / 5/8 + 1/4
Answer: 1 1/20
Step-by-step explanation:
1/2 / 5/8 + 1/4
=8/10 +1/4
=21/20
=1 1/20
Patty has a flower box in the shape of a rectangular prism with interior dimensions that are 15 inches in length, 8 inches in width, and 6 inches in height. Patty will fill the flower box 3/4 full of soil. How many cubic inches of soil will be in the flower box?
Answer:
540 cubic inches.
Step-by-step explanation:
Stacey has 30 hamburgers. 4/6 of them have cheese on them. The rest are plain. How many burgers have cheese on them?
Answer:
20 burgers
Step-by-step explanation:
4/6×30 = 2/3 ×30 = 60/3 = 20
How can you find a unit rate from a graph?
Answer:
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate. So in this case, divide the numerator and denominator of 70/5 by 5, to get 14/1, or 14 students per class, which is the unit rate.
Also, what are unit rates? A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
On Friday, Jessica babysat for 3 hours and earned $27. On Saturday, Jessica babysat for 6 hours and earned $54. On Friday, Jessica babysat for 7 hours and earned $63. Write an equation to represent her earnings if x represents hours and y represents earnings
Answer:
y = 9x
Step-by-step explanation:
We can make the x-values represent how many hours Jessica babysat, and the y-values represent how much money she earned each day.
We have these points:
(3, 27)(6, 54)(7, 63)The days of the week she worked do not matter in this problem. We are just trying to find the association between hours worked and money earned.
We can start by finding the slope of the line by using two of the points. I will be using (3, 27) and (6, 54).
The slope formula is [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex].
Substitute these two points into the formula:
[tex]\displaystyle m = \frac{54-27}{6-3}[/tex] [tex]\displaystyle m = \frac{27}{3}[/tex][tex]m=9[/tex]The slope of the line is m = 9.
Now, we can use the point-slope equation to find the equation of the line that represents Jessica's earnings.
Point-slope equation: [tex]y-y_1=m(x-x_1)[/tex].
Substitute the slope m = 9 and the point (3, 27) into the equation.
[tex]y-(27)=9(x-(3))[/tex] [tex]y-27=9(x-3)[/tex] [tex]y-27=9x-27[/tex][tex]y=9x[/tex]The equation y = 9x represents Jessica's earnings, where x represents hours and y represents earnings.
Apples were sold at 9 for $5. Carol bought a total of 27 apples. If Carol paid the cashier using two $10 bills, how much change did she recive?
Answer:
She received $5 back
Step-by-step explanation:
Answer:
170
Step-by-step
Add 5 27 times count by 5s and you will get the answer.
If a_1=4a 1 =4 and a_{n+1}=3a_n-3a n+1 =3a n −3 then find the value of a_3a 3
Answer:
Step-by-step explanation:
WHY IS NOBODY HELP ME I GOT 2 OTHER QUESTIONS POSTED AND NOBODY ANSWERED ME
Answer:
B. F(0) = 4
Step-by-step explanation:
Im unsure about the C tho.
What is the answer to this?…
Answer:
0.5n
Step-by-step explanation:
n/2 is equal to n * 1/2. 1/2 is equal to 0.5, so n * 1/2 = n * 0.5 = 0.5n.
The length of one of the sides of a regular hexagon is 7.8cm, find the perimeter of this polygon
Answer:
46.8 cm
Step-by-step explanation:
A hexagon has six sides. If it is a regular hexagon, then it is equilateral, meaning that each side is the same length. If one side is 7.8cm, then all sides will be 7.8cm. You can find the perimeter by adding 7.8 six times, or multiplying 7.8 by six.
7.8 · 6 = 46.8
hope this helps!
What is an equation of the line perpendicular to 5x−4y=10 that passes through the point (−1,−6) ?
Answer:
y = -4/5x-34/5
Step-by-step explanation:
1. Put into slope-intercept form: 5x-4y = 10 ⇒ 4y = 5x-10 ⇒ y = 5/4x - 5/2
2. A perpendicular slope is the negative reciprocal of the original slope. ⇒ m = -4/5
3. Make a general solution using the new slope: y = -4/5x + b
4. Plug in the point (-1,-6) and solve for b: -6 = -4/5(-1) + b ⇒ -6-(4/5) = b ⇒
b = -34/5
5. Put b in the general solution to find the particular solution: y = -4/5x-34/5
Matthew collected data about the ages of the actors in two different community theater groups. He drew a box plot for one of the sets of data and made a table of the other set of data.Ages of Actors is the Southside Players
For the Northside players, the median is 36, the range is 32 and the IQR is 18. For the southside Players : the median is 26, the range is 12 and the IQR is 12.
What is median?The median is regarded as the middle number among a series of sorted numbers that are placed in ascending or descending order.
Note that from the image attached, the northside ages are 22, 25, 28, 29, 29, 36, 36, 41, 49, 49, 54.
The median northside ages therefore is 36
For Range = Highest number - Lowest number
54-22 = 32
IQR = Q₃ - Q₁
Note that first quartile Q1 is said to be the median of the n lowest values and third quartile Q3 is the median of the n highest values.
Lowest value is 22 + 25/2 = 28.5.
Highest value is 49 + 44/ 2= 46.5.
Therefore, IQR = Q₃ - Q₁
46.5 - 28.5 =
IQR = 36
Note, for Southside Players;
If the Ages of Actors is the Southside Players are 20 22 24 26 28 30 32 34.
Then the median is = 26
Range is = 34-22 = 12
IQR = Q₃ - Q₁
Lowest = 20 + 22/ 2 = 21
Highest is 32 + 34 / 2 = 33
33 - 21
IQR = 12
Therefore, for the Northside players, the median is 36, the range is 32 and the IQR is 18. For the southside Players : the median is 26, the range is 12 and the IQR is 12.
Learn more about Range from
https://brainly.com/question/26098895
Given parallelogram EFGH, find the values of x and y.
Answer:
y = 40, x = 9
Step-by-step explanation:
2(3y)+2(2y-20)=360
y = 40
2x=18
x = 9
1. What is the sum of the four 30 degrees angles in the wheel? Show your work.
Answer:
120 degrees
Step-by-step explanation:
30 * 4 = 120
Answer:
Step-by-step explanation:
30 + 30 + 30 + 30 = 30 x 4 = 120 degrees
What is 2038 x 28? Giving Brainliest
Answer:
57064
Step-by-step explanation:
A ball is thrown from an initial height of 3 feet with an initial upward velocity of 28 ft/s. The ball's height h (in feet) after 1 seconds is given by the following:
h = 3 +28t-16t^2
Find all values of 1 for which the ball's height is 11 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
1 seconds
DO
х
?
initial
height
ground
The value of t at a height of 11 feet is 0.36 sec when the ball is going upwards and 1.39 seconds when the ball is coming downwards.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
Given that the height of the ball at time t is given by the function,
[tex]h(t) = 3+ 28t -16t^2[/tex]
where t is in seconds and h is in feet.
Now, the height of the ball is given to be 11 feet, therefore, substituting the value of h in the function as 11,
[tex]h(t) = 3+ 28t -16t^2\\\\11 = 3+ 28t -16t^2\\\\-16t^2 + 28t +3 -11 = 0\\\\-16t^2 + 28t -8 = 0[/tex]
Now, solving the given quadratic equation, we will get,
[tex]x= \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t = \dfrac{-(28)\pm \sqrt{(28)^2-4(-16)(-8)}}{2(-16)}\\\\t= 0.36\ or\ 1.39[/tex]
Hence, the value of t at a height of 11 feet is 0.36 sec when the ball is going upwards and 1.39 seconds when the ball is coming downwards.
Learn more about Quadratic Equations:
https://brainly.com/question/2263981
#SPJ1
11 by 12 minus 7 by 15
27
using bodmas rule:
[tex]\sf b - bracket, o - order, d - division, m - multiplication, a - addtion, s - subtraction[/tex]
=================
Solve:
11 x 12 - 7 x 15 (carry out multiplication first)
132 - 105 (subtract)
27 (final answer)
Let's see
[tex]\\ \rm\Rrightarrow \dfrac{11}{12}-\dfrac{7}{15}[/tex]
Take LCM (60}[tex]\\ \rm\Rrightarrow \dfrac{11(5)-7(4)}{60}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{55-28}{60}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{27}{60}[/tex]
If triangleABC is a right angle triangle at C.then what is the value of cos(A+B)
Answer:
Hi there!
As we know that the sum of all three angles of a triangle is 180°.
If ∆ABC is right angled at C
C = 90°
=> [tex]\:\mathsf\red{∠A\: +\:∠B\: +\: ∠C\:=\:180°}[/tex]
=> [tex]\:\sf{∠A\: +\:∠B\: +\: 90°\:=\:180°}[/tex]
=> [tex]\:\sf{∠A\: +\:∠B\: =\:180°\:-\:90°}[/tex]
=> [tex]\:\sf{∠A\: +\:∠B\: =\:90°}[/tex]
Multiplying cos both sides. We get,
=> [tex]\:\sf{cos\:(∠A\: +\:∠B)\: =\:cos\:90°}[/tex]
We know cos 90° = 0, by trigonometric ratio.
=> [tex]\:\sf{cos\:90°\:=\:0}[/tex]
So,
[tex]\:\mathsf{cos(∠A\: +\:∠B)=\:cos\:90°\:=\:0}[/tex]
=> [tex]\:\sf\purple{cos\:(∠A\:+\:∠B)\:=\:0}[/tex]
[tex]\:\mathsf\blue{Hope\:this\:helps\:you!\:}[/tex]
What is the area of a circle with a radius of 4 meters? Use ≈ 3.14.
Answer: A≈50.27m²
The area of a circle with a radius o 4 meters is A≈50.27m²
Step-by-step explanation:
Write -7i as complex number
Step-by-step explanation:
z = 0 -7i ....................
(d) Sandy’s gross annual income is $51,350. She is paid biweekly and has 5% deducted from her paycheck for her 403(b). Her employer matches her deduction, up to 4%. How much is deposited into Sandy’s 403(b) each payday?
Based on the annual income, the payment period, and the amount deducted for the 403(b), the amount deposited into Sandy's 403(b) is $220.
How much is deposited into Sandy's 403(b)?First find the biweekly income:
= 51,350 / (52 weeks / 2 )
= 51,350 / 21 weeks
= $2,445.24
5% is deducted from her wages and the employer matches 4% of the salary. The amount deposited is:
= (5% + 4%) x 2,445.24
= $220
Find out more on 403(b) at https://brainly.com/question/2908111.
What is 0.75 written as a fraction?
A-1/75
B-10/75
C-75/100
D-7/5
E-75-10
Answer:
[C] 75/100
Step-by-step explanation:
0.75 as a fraction is 75/100.
Steps:
0.75 over 1
0.75/1
Multiply both the numerator and denominator by 100
75/100
Hence, the answer is [C] 75/100
[RevyBreeze]
Answer:
[C] 75/100
Step-by-step explanation:
Given:
What is 0.75 written as a fraction?
Solution:
0.75 = Decimal
Rewriting the decimal number as a fraction with 1 in the denominator
[tex]0.75=\frac{0.75}1[/tex]
Now, multiply to remove the 2 decimal places. So, you multiply top and bottom by 10² = 100
10² is the same thing as 100 because 10² = 10 × 10 and 10 × 10 = 100
[tex]\frac{0.75}{1}\times\frac{100}{100}=\frac{75}{100}[/tex]
Thus, the answer is [C] 75/100
Kavinsky
Mathematics question :)
Read the following numbers and write them in expanded form 443 092 101
X+3=2X+6(x+4)
Please Answer!
A game lasts 5/8 hours. Rachel played 4 of these games. For how long did she play in total? Write your answer in the simplest form.
Answer:
5/2 or 2 1/2 hours
Step-by-step explanation:
Multiply 5/8 by 4, which is 20/8, then you simply from there so 5/2=2 1/2
The diameter of a circle is 11 cm. Find its circumference in terms of .
Answer:
C= 34.56 cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
C= πd = π·11 ≈ 34.55752cm
a mountain bike is on sale for 25% off. The regular price is $123.50. About how much is the discount
I am currently learning about converting to log. However, My teacher did not explain converting to log with multiple variables.
Ex: 12^3 = (x^4)*(y^3)*(z^6)
Can anyone explain how to make that a logarithmic equation?
[tex]\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\\\ \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]12^3~~ = ~~x^4 y^3 z^6\implies \log_{12}(x^4 y^3 z^6)=3 \\\\\\ \log_{12}(x^4)~~ + ~~\log_{12}(y^3)~~ + ~~\log_{12}(z^6)~~ = ~~3 \\\\\\ 4\log_{12}(x)~~ + ~~3\log_{12}(y)~~ + ~~6\log_{12}(z)~~ = ~~3[/tex]
Question 3 of 10
Which expression is the simplest form of 5(22–3)-3(x+4)?
9
O A. 7x - 3
-
O B. 134-27
9
O c.
72-3
9
Answer:
(D)
Step-by-step explanation:
[tex]\frac{5(2x-3) -3(x+4)}{9}[/tex] = [tex]\frac{10x-15-3x-12}{9}[/tex] = [tex]\frac{7x-27}{9}[/tex]