Answer:
A. 15
Step-by-step explanation:
10 : 9 : 8
Mark: 10x
Tim: 9x
Jane: 8x
(10x - 5) + (9x - 5) + (8x - 5) = 39
10x - 5 + 9x - 5 + 8x - 5 = 39
27x - 5 - 5 - 5 = 39
27x - 15 = 39
27x - 15 + 15 = 39 + 15
27x = 54
27x ÷ 27 = 54 ÷ 27
x = 2
Mark: 10x - 5
10x - 5
10(2) - 5
20 - 5
15
If a circle has a radius of 16, and an arc length of 12, what is the angle measure of the central angle that matches that arc?
Answer:
135°
Step-by-step explanation:
The arc length is calculated as
EF = circumference of circle × fraction of circle
= 2πr × [tex]\frac{?}{360}[/tex]
Given EF = 12π , then
2π × 16 × [tex]\frac{?}{360}[/tex] = 12π ( divide both sides by 2π )
16 × [tex]\frac{?}{360}[/tex] = 6 ( multiply both sides by 360 to clear the fraction )
16 ? = 2160 ( divide both sides by 16 )
? = 135°
Given the cosine equation y = 2cos(4x) - 1, What is the midline?
Answer:
[tex]y = 2 \cos(4x) - 1 \\ when \: y = 0 \\ \cos(4x) = \frac{1}{2} \\ 4x = 60 \\ x = 15 \\ when \: x = 0 \\ y = 2 - 1 = 1 \\ intercepts = > (15, \: 0) \: and \: (0, \: 1) \\ midpoints : ( \frac{15 + 0}{2} , \: \frac{0 + 1}{2} ) \\ = (7.5, \: 0.5) \\ gradient = \frac{1 - 0}{0 - 15} \\ = - \frac{1}{15} \\ y = mx + c \\ at \: (7.5, \: 0.5) \\ 0.5 = - \frac{1}{15} \times 7.5 + c \\ 0.5 = - 0.5 + c \\ c = 1 \\ \therefore \: y = - \frac{1}{15} x + 1 \\ = > 15y = - x + 15[/tex]
PLEASEEEE HELPPPP PLEASEEEEEE HELPPPPPPPPPPPPPP IM BEGGING SOMEONE
Answer:
1.) Adjacent and form a linear pair
2.) Adjacent and form a linear pair
3.) Adjacent
4.) Not adjacent
Hope this helps!
Answer:
1.) Adjacent and form a linear pair
2.) Adjacent and form a linear pair
3.) Adjacent
4.) Not adjacent
What is the value of the expression 99 – 7a2 when a a = 3?
Answer:
36
Step-by-step explanation:
plug in a=3 for a
I belive you meant 99- 7 * a^2
so 99- 7 * (3)^2 = 36
The value of the expression 99 - 7a² for a = 3 is 36.
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
The given expression is 99 - 7a².
Substitute a = 3 into the given expression:
99 - 7 (3)²
= 99 - 7×9
= 99 - 63
= 36
Hence, the value of the expression 99 - 7a² for a = 3 is 36.
Learn more about algebraic expressions here:
https://brainly.com/question/953809
#SPJ6
Which type of line of symmetry does the figure have?
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $2.70. Today they made $244.60 from the 146 wraps sold. How many of the wraps sold were vegetarian?
Answer:
88 Vegetarian Wraps Sold.
Step-by-step explanation:
This is a System of Equations Problem.
Your Two Systems Are:
v(1)+c(2.7)=244.6 and c+v=146
c = chicken wraps and v = vegetarian wraps
Each chicken wrap costs $2.70 (2.7). Put the variable of c next to (2.7) meaning to multiply.
Each vegetarian wrap costs $1 (1). Put the variable of v next to (1)
244.60 (244.6) is the total amount of money made from selling the wraps. This will be the total of the equation.
v(1)+c(2.7)=244.6
Solve 2.7c+v=244.6 for v.
Add -2.7c to both sides.
2.7c+v+−2.7c=244.6+−2.7c
v=−2.7c+244.6
Substitute −2.7c+244.6 for v in c+v=146.
c+v=146
c+−2.7c+244.6=146
Simplify both sides of the equation.
−1.7c+244.6=146
Add -244.6 to both sides.
−1.7c+244.6+−244.6=146+−244.6
−1.7c=−98.6
Divide both sides by -1.7.
[tex]\frac{-1.7c}{-1.7} =\frac{-98.6}{-1.7}[/tex]
c=58
Substitute 58 for c in v=−2.7c+244.6.
v=−2.7c+244.6
v=(−2.7)(58)+244.6
Simplify both sides of the equation.
v=88
Answer:
c=58 and v=88
88 vegetarian wraps were sold.
GEOMETRY/WILL MARK BRAINLIST
GOD BLESS WHAT IS THE ANSWER TO THIS?
Answer:
Option 1
Step-by-step explanation:
It's asking me to write 20 words so blah blah blah.
In order to solve by completing the square, what value needs to be added to both sides of the equation:
Answer:
The answer is "[tex](x + 8)^2 = 58[/tex]"
Step-by-step explanation:
Let the equation is:[tex]x^2+16x=-6[/tex]
by adding and subtracting 64 then:
[tex]x^2 + 16x + 64 = -6 + 64\\\\x^2 + 2\times x\times 8 + 64 = -6 + 64\\\\ (x + 8)(x + 8) = 58\\\\ (x + 8)2 = 58[/tex]
Hari's weekly allowance varies depending on the number of chores he does. He received $24 in allowance the week he did 16 chores, and $18 in allowance the week he did 4 chores. Write an equation for his allowance in slope-intercept form.
i need help!
Answer:
y = (1/2)x + 16
Step-by-step explanation:
General point/slope form is
y = mx +b (the two points given are (4,18) and (16,24))
slope = rise/run = (24-18)/(16-4) = 6/12 = 1/2
y = (1/2)x + b
pick one point (4,18) and plug in
18 = (1/2)4 + b
18 = 2 + b
b = 16 (he still gets $16 for zero chores)
So
y = (1/2)x + 16
A sociologist reviews randomly selected surveillance videos from a public park over a period of several years and records the amount of time people spent on a smartphone. The statistical procedure the sociologist used is called...
Answer:
an observational study.
Step-by-step explanation:
An observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).
In this scenario, a sociologist reviews and analyzes a public park surveillance videos that were randomly selected over a period of several years. From the data obtained, he records the amount of time people spent on a smartphone. Thus, the statistical procedure the sociologist used is called an observational study because he doesn't interfere or manipulate the surveillance video containing information about the amount of time people in the public park spent on their smartphone.
Additionally, an unobtrusive data collection is a data collection technique used mainly in the social sciences to obtain or gather data without the researcher directly interfering or interfacing with the subject being studied. Thus, it doesn't influence the behavior, action or response of the subjects under study.
I rly need yalls help on #1-3, and 5 pleasee!
Which of the following is equivalent to the expression below?
(– 3m + 5) + (m – 11)
A: – 2m – 6
B: 2m – 16
C: 4m – 16
D: – 4m – 6
Answer:
B
Step-by-step explanation:
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R 58 is mph when T is 7 seconds. Find the speed of a car that travels the given distance in 9 seconds.
Answer: [tex]45.11\ mph[/tex]
Step-by-step explanation:
Given
Speed R varies inversely with time T i.e.
[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]
when R=58 mph, T=7 s i.e.
[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]
when T=9 s
[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]
Divide (i) and (ii)
[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]
Find the product of 403 and 89.
[tex]35,867[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]403 \times 89 \\ = 35,867[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Answer:
35867 is the product of 409 and 89. At least I think so.
Step-by-step explanation:
formula of simple interest
Answer:
I = PRT where I is the interest, P is the principal deposited/borrowed, R is the rate as a decimal (take the number & divide by 100), and T is time in years.
Match the formula to the correct figure.
We got- cylinder, cube, cone, and pyramid.
1. πxr^2xh
2. 1/3Bxh
3. 1/3 πxr^2xh
4. Lxwxh
No bit links plz. 15 points.
Given:
The figures cylinder, cube, cone, and pyramid.
To find:
The formula of volume for the given figures.
Solution:
Volume of a cylinder is:
[tex]V_1=\pi r^2h[/tex]
Where r is the radius and h is the height.
Volume of a cube is:
[tex]V_2=a^3[/tex]
Where a is side length of cube.
It is also written as:
[tex]V_2=l\times w\times h[/tex]
Where l is length, w is width, h is height and [tex]l=w=h[/tex].
Volume of a cone is:
[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]
Where r is the radius and h is the height.
Volume of a pyramid is:
[tex]V_4=\dfrac{1}{3}Bh[/tex]
Where B is the base area and h is the height.
Therefore the table of formulae is shown below:
Figure Volume formula
Cylinder [tex]\pi r^2h[/tex]
Cube [tex]l\times w\times h[/tex]
Cone [tex]\dfrac{1}{3}\pi r^2h[/tex]
Pyramid [tex]\dfrac{1}{3}Bh[/tex]
Carolina y Juan fueron a la tienda y entre los dos se gastaron Q15.00. Carolina gastó Q3.20 más que Juan. ¿Cuánto gastó Juan? Grupo de opciones de respuesta
Answer:
Q 5.9
Step-by-step explanation:
Que el dinero gastado por Juan sea x
Deja que el dinero gastado por Carolina sea y
Si el dinero total gastado es Q 15
Luego;
x + y = 15 ------- (1)
De la segunda oración;
y = x + 3,2 -------- (2)
Sustituyendo (2) en (1)
x + x + 3,2 = 15
2x + 3,2 = 15
2x = 15 - 3,2
2x = 11,8
x = 5,9
x = Q 5.9
Por lo tanto Juan gastó Q 5.9
When graphing the coordinates (2,1) you would....
A. first move two spaces on the x-axis and then up 1 space on the y-axis
B. first move two spaces up on the y-axis and then 1 space over on the x-axis
Answer:
The answer is A :)) hehe.
Find the exact value of csc theta if tan theta = sqrt3 and the terminal side of theta is in Quadrant III.
Answer:
3rd option
Step-by-step explanation:
Using the identities
cot x = [tex]\frac{1}{tanx}[/tex]
csc² x = 1 + cot² x
Given
tanθ = [tex]\sqrt{3}[/tex] , then cotθ = [tex]\frac{1}{\sqrt{3} }[/tex]
csc²θ = 1 + ([tex]\frac{1}{\sqrt{3} }[/tex] )² = 1 + [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{3}[/tex]
cscθ = ± [tex]\sqrt{\frac{4}{3} }[/tex] = ± [tex]\frac{2}{\sqrt{3} }[/tex]
Since θ is in 3rd quadrant, then cscθ < 0
cscθ = - [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = - [tex]\frac{2\sqrt{3} }{3}[/tex]
Arthur competed in three different races. His time in the first race was 14.48 seconds, his time in the
second race was 26.35 seconds, and his time in the third race was 53.89 seconds. What was Arthur's
total time, in seconds, for all three races?
A: 83.52
B: 84.72
C: 93.52
D: 94.72
83.52
A
Step-by-step explanation:
jsjdhhhdh
hshshhdh
gshdhdh
gdgshhs
hdhdh
Find the number of x-interpects of y=-x^2+4x-12
Answer:
x = -2 + 2√2 i and -2 - 2√2 i
Step-by-step explanation:
Given the function, y=-x^2+4x-12
x intercept occurs at y = 0
Substitute y = 0
0=-x^2+4x-12
x^2 - 4x + 12 = 0
Factorize
x = -4±√4²-4(12)/2
x = -4±√16-48/2
x = -4±√-32/2
x = -4 ± √32 i/2
x = -4+4√2 i/2 and x =-4-4√2 i/2
x = -2 + 2√2 i and -2 - 2√2 i
If there were 199 million American adults in 1996, how many of them were obese? Round to the nearest million adults.
There are 11 teachers and 132 students at a middle
school. What is the ratio of teachers to students?
Answer:
[tex]\frac{1}{12}[/tex] or 1:12
Step-by-step explanation:
There are 11 teachers : 132 students
Because ratios are just another way of writing fractions, by putting this into a fraction we get:
[tex]\frac{11}{132}[/tex]
Dividing both the numerator and denominator (top and bottom) by 11, we get:
[tex]\frac{1}{12}[/tex]
Thus, the ratio is [tex]\frac{1}{12}[/tex], or 1:12
In 1945, a microwave cost $435. Today, a microwave costs $130. What is the percent of change?
Answer:
29.89%
Step-by-step explanation:
Step 1: We assume that 435 is 100% since it is our output value.
Step 2: We next represent the value we seek with [tex]$x$[/tex].
Step 3: From step 1, it follows that [tex]$100\%=435$[/tex].
Step 4: In the same vein, [tex]$x\%=130$[/tex].
Step 5: This gives us a pair of simple equations:
[tex]100\%=435(1)\\\\x\%=130(2)[/tex]
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left-hand side) of both equations have the same unit (%); we have
[tex]$\frac{100\%}{x\%}=\frac{435}{130}$[/tex]
Step 7: Taking the inverse (or reciprocal) of both sides yields
[tex]\frac{x\%}{100\%}=\frac{130}{435}\\\\\Rightarrow x=29.89\%[/tex]
Therefore, [tex]$130$[/tex] is [tex]$29.89\%$[/tex] of [tex]$435$[/tex].
In a school of 3200 total students 3/8
are boys &
rest girls, then,
i) Find the number of boys and girls.
ii) Find the percentages of boys and girls
Answer:
ii) Find the percentage of boys/girls
Step-by-step explanation:
If im incorrect please comment here ------------》
I REALLY NEED TO PASS THIS! PLEASE EXPLAIN UR ANSWER, THANK YOU!
Question 8 options:
A full can of vegetable broth is 17 cm tall and has a radius of 5 cm. Morgan uses some of the broth to make curry and now the broth left in the can is 12 cm high.
Morgan used approximately___ cubic centimeters of broth.
Use 3.14 for pi. Do not round your answer.
Answer:
Step-by-step explanation:bjgnjfvnifcb
Answer:
392.5cm³
Step-by-step explanation:
height of broth in can used= 17-12
= 5cm
Amt. of broth used= πr²h
= 3.14×5²×5
= 392.5cm³
2. ABCD is a parallelogram. If AD = 3x+15 and BC = 21, find AD
Answer:
2
Step-by-step explanation:
3x+15=21 (the opposite side of parallelogram is equal)
3x=21-15
3x=6
x=6/3
so x=2
AD=2
I NEED HELP WITH THIS ONE TOO!
4 × ( 4 + 9 ) = 2 × ( 2 + x )
4 × 13 = 2 × ( 2 + x )
2 × 2 × 13 = 2 × ( 2 + x )
2 × 26 = 2 × ( 2 + x )
Divide both sides by 2
2 × 26 ÷ 2 = 2 × ( 2 + x ) ÷ 2
26 = 2 + x
Subtract both sides 2
26 - 2 = 2 - 2 + x
x = 24
PROBABLY THE LAST THING IMA ASK FOR NOW BUT UH HELP
Answer:
3520 Yards
Step-by-step explanation:
1 Mile = 1760 Yards
Answer: 3520 yards
Step-by-step explanation:
1 mile = 5280 x 2 = 10,560
2miles = 10,560
in yards = 3520 yards
HELP PLS MATH !!!!!!!!!!!!!!
fraction form : 8/25
decimal form : 0.32
Answer:
8/25 or if you have to do decimal form it's 0.32
Step-by-step explanation: