Answer:
x = 11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsGeometry
Vertical Angles TheoremStep-by-step explanation:
Step 1: Define
Identify and set up
[Vertical Angles] 10x - 2 = 108
Step 2: Solve for x
[Addition Property of Equality] Add 2 on both sides: 10x = 110[Division Property of Equality] Divide 10 on both sides: x = 11Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.
Answer:
B
Step-by-step explanation:
To know which line plot could represent the data, we take the sum of the miles covered by the runners and check if it adds up to 4 miles for each plot :
Plot 1 :
(1/12 * 1) + (1/8 * 2) + (1/6 * 1) + (1/4 * 2) + (1/3 * 1) + (1/2 * 3) = 2.8333
Plot 2 :
(1/6 * 2) + (1/4 * 2) + (1/3 * 2) + (1/2 * 3) + 1 = 3 +1 = 4 miles
Since the sum of the miles ran by the runners equals 4 miles for the second plot, hence, the second plot could represent the data for the runners.
B) Prove or disprove by example or by exhaustive checking that every integer greater than 1 is either prime or sum of two primes.
Answer:
Every integer greater than 1 is either prime or composite.
Step-by-step explanation:
Let us negate this statement.
Assumption - any number greater than 1, is neither prime nor composite.
A prime number has only 2 divisors, and a composite number has at least 3.
Let a number be X such that X >1.
Now X is divisible by 1 (Any integer is divisible by 1)
And X is divisible by X (X/X = 1, if X is not zero)
So by this, we see X has at least 2 divisors, X is either prime, or composite if it has more divisors!
So our assumption is wrong, and every integer greater than 1 is either prime or composite.
Please help me!!
Which of the following is the solution set for the equation |p−2|=7?
{ −5, 9}
{ −9, 9}
{ −5 }
{9}
Answer:
9the only correct answer is 9
Answer:
A
Step-by-step explanation:
p-2 ≥ 0
p ≥ 2
if p ≥ 2
p - 2 = 7
p = 9 (accettable)
if p < 2
-p+2 = 7
p = -5 (accettable)
What is the area of the shaded sector? (Round to the nearest tenth)
10
38
Answer:
33.1
Step-by-step explanation:
First you need to find the area of the circle. The radius is 10 which means that the area is 314. Since a circle has 360 degrees, and the shaded area is 38 degrees, you need to divide 314 by 360 which is 0.87. Then multiply by 38 because the shaded sector is 38. 0.87 x 38 = 33.1.
That is the answer.
Stuart owns a window washing business. He can wash the windows on 9 houses in 4 hours. At this rate, how long would it take him to wash the windows on 45 houses? How many houses could he wash in 12 hours?
Answer:
20 Hours = 45 Houses
27 = 12 Hours
Step-by-step explanation:
The time taken to wash 45 houses is 20 hours and the number of houses in 12 hours is 27.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Stuart owns a window-washing business. He can wash the windows on 9 houses in 4 hours.
The time taken to wash 45 houses is,
9 houses = 4 hours
1 house = 4 / 9 hours
45 houses = ( 45 x 4 ) / 9 hours
45 houses = 20 hours
The number of houses in 12 hours,
4 hours = 9 houses
1 hour = 9 / 4 houses
12 hours = ( 9 x 12 ) / 4 houses
12 hours = 27 houses
Therefore, the time taken to wash 45 houses is 20 hours and the number of houses in 12 hours is 27.
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Write the slope-intercept form of the equation of the line that passes thrqugh (-4, -3) and is
perpendicular to the graph of 2x - 3y = -5.
Answer:
Step-by-step explanation:
Equation of the line y = mx + c
The new line is perpendicular to 2x - 3y = -5
- 3y = - 5 - 2x
3y = 2x + 5
y =[tex]\frac{2x}{3} + \frac{5}{3}[/tex]
Since the lines are perpendicular to each other : [tex]m_{1} . m_{2} = -1[/tex]
where [tex]m_{1} \ slope \ of \ the \ given \ line \ and \ m_{2} \ slope \ of \ the \ new \line\\[/tex].
Slope of the given line
[tex]m_{1} = \frac{2}{3}[/tex]
Slope of the new line
[tex]\\\frac{2}{3}.m_{2} = -1\\ m_{2} = -1 . \frac{3}{2} = \frac{-3}{2}[/tex]
The equation to the new line passing through (-4, -3) and perpendicular to 2x - 3y = -5
[tex](y - y_{1}) = m_{2}(x-x_{2} )\\\\(y - (-4)) = \frac{-3}{2}(x - (-3)) \\\\(y + 4) = \frac{-3}{2} (x+ 3)\\\\2(y +4) = -3(x+3)\\\\2y + 8 = -3x -9 \\\\2y = -3x - 9 -8\\\\y = \frac{-3x}{2} - \frac{17}{2}[/tex]
help please I need to know anwser
Answer:
B
Step-by-step explanation:
B
find the value of z plsss
Answer:
z=12x2
30x-24
x=y=30
z=12x2
Step-by-step explanation:
Answer:
I think z=12
Step-by-step explanation:
1/2=z/24
z=24/2
z=12
En la multiplicación monomio por monomio: 1. se multiplican los signos 2. se suman los coeficientes 3. se multiplican las variables
-Si o No
Answer:
no sabe
Step-by-step explanation:
yo no se
jasmine left me so I have to improvise anyways
PLS HELP WILL GIVE BRAINLIEST
3 and 1/6
to check your work, if you do 2+1 you get 3. and to do 3 and 1/6 you must do 6 times 3 which is 18 and add 1 bc that is the numerator. so you get 19/6. 6 can go into 19 3 times giving you 18 which will then leave you with 1 making the answer to this question 3 and 1/6. 3 being for how many times 6 can go into 19. 1 being what is left of 19 after 6 fitting into 19 3 times. and 6 being the denominator.
96 plus what equals 180?
Answer:
Step-by-step explanation:
180-96
180-96 = 84
96 + 84 = 180
Answer:
84
Step-by-step explanation:
Let x equal how much 96 is plussed by to get 180.
96 + x = 180
Switch the equation to subtraction:
180 - 96 = 84
Now, let's check our work!:
96 + 84 = 180
Hope this helps!
Which of the following expressions is equivalent to 13÷34?
Answer:
10 + (3 ÷ 24)
You're not showing me the options so I'm just picking a random expression that could possibly be equivalent.
A car salesman is stringing banners from the top of the roof to a fence pole 20 feet away. The fence pole is 8 feet high. He uses 29 feet of banner rope to reach from
the rooftop to the fence pole. How tall is the roof? Show your work.
Answer:
20.88 feet
apply Pythagorean relation, a²+b²=c²
=20²+6²=c²
c²=436
c=20.88 ft
Step-by-step explanation:
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I need help with social studies, math, science and Creative Expressions
Answer:
Ohhk mate
kindly let us know what help u need
Answer:
ok? so what the question?
Step-by-step explanation:
which ones plsss help
HELP ME PLEASEEEEEEEEE
[tex](11 + x) \div 2 = 7 \\ 11 + x = 14 \\ x = 14 - 11 \\ x = 3[/tex]
[tex](4 + y) \div 2 = 5 \\ 4 + y = 10 \\ y = 10 - 4 \\ y = 6[/tex]
[tex](3,6) - option \: a[/tex]
PLSSS HELP GIVING BRAINLIEST
Peter cuts a foam block along the red line. When he looks at the newly exposed face, what is the shape of the cross-section? 5 cm 9 cm 7 cm O A. A rectangle, 7 cm by 5 cm OB. A rectangle, 9 cm by 7 cm O C. A square, 7 cm by 7 cm D. A rectangle, 9 cm by 5 cm
Answer:A. A rectangle, 7cm by 5 cm
Step-by-step explanation:
Triangle FCD is cut from parallelogram ABCD moved with left-hand side. What are the dimensions of the resulting triangle AEFD?
Answer:
The answer is below
Step-by-step explanation:
Triangle FCD is cut from parallelogram ABCD moved with left-hand side. What are the dimensions of the resulting rectangle AEFD?
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel to each other.
A rectangle is a quadrilateral with opposite sides which are parallel and equal to each other. All the angles in a rectangle are at 90 degrees.
From the image, AD = z, FC = x, BF = w and BC = y. Hence:
EB = FC = x.
EF = AD = length = z; AE = FD = height = w
Therefore the dimensions of rectangle AEFD is length z and height w
A car has a value of £15000 at the start of the
year, at the end of the year the car is worth £14000.
What is the percentage decrease ?
Given :-
Value of car in start years Sv= $ 15,000Value of car in last years Ev = $ 14,000Find :-
% decrease .ExplanationUsing Formula
[tex]\boxed{\tt{\red{\:(Decrease)\:=\:(Sv\:-\:Ev)}}}[/tex]
==> Decrease value = 15000 - 14,000
==> Decrease Value = $1000
Now, Calculate % decrease .
★ % decrease = decrease × 100/Sv
==> % Decrease = 1000 × 100/15,000
==> % Decrease = 100/15
==> % Decrease = 6.67 % [ Ans]A photographer is placing 7 people in a single line for a group picture. How
many ways are there to arrange the people?
Answer:
49
Step-by-step explanation:
There is 7 different places each of the 7 people can stand. So you would do 7×7 which equals 49.
Do the ratios 4:12 and 5:15 form a proportion
Answer:
4:12=5:15
in propotion form
4/12=5/15
Step-by-step explanation:
If a triangle has sides length 3,4 and 5 which side is the hypotenuse
Answer:
Step-by-step explanation:
length 5 is hypotenuse because hypotenuse is the longest side.
24 points
what's the answer?
show full step
thanks
[tex]\huge{ \mathrm{ \underline{ Answer} \: \: ✓ }}[/tex]
[tex]\longrightarrow \huge{1}[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Answer:
See belowStep-by-step explanation:
Given:
[tex]a = xy^{p-1}[/tex][tex]b = xy^{q-1}[/tex][tex]c = xy^{r-1}[/tex]Solution:
[tex]a^{q-r}b^{r-p}c^{p-q} =[/tex][tex](xy^{p-1})^{q-r}(xy^{q-1})^{r-p}(xy^{r-1})^{p-q} =[/tex][tex]x^{q-r+r-p+p-q}y^{pq-q-pr+r+qr-r-pq+p+pr-p-qr+q} =[/tex][tex]x^0y^0 =[/tex]1*1 =1Find the value of x that makes m∥n.
Lines m and n are parallel when x=
Answer:
39
Step-by-step explanation:
the total value of the angle needs to be 150 degrees 150+6=156/4=39 4(39)-6=150
Find the equation of the linear function represented by the table below in slope-intercept form.
X 0,1 ,2 ,3, 4
Y 9, 12. 15, 18, 21
Answer:
3x + 9
Step-by-step explanation:
for the y's, you increase by 3
for the b, it's the y-intercept
*y = mx + b
I need help plssssssssssssssssssssssssssssssssss
Answer:
47.4005
Step-by-step explanation:
What is the surface area of the cube below? 8 8 O A. 512unit * s ^ 2 O B. 320unit * s ^ 2 O C. 384unit * s ^ 2 O D. 508unit * s ^ 2
Answer:
C
Step-by-step explanation:
Formula for Surface Area of cube :
6 x [tex]a^{2}[/tex]
In our case, the edges are 8, meaning would we would subsuite a with 8 in the equation. We would do 6 x 64, since [tex]8^{2}[/tex] is 64. 6 x 64 is 384, hence our answer is 384.
The Surface Area of the cube is 384 unit².
What is surface Area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given: the edge of the cube, l= 8 units
Surface area of the cube = 6*l²
= 6*8*8
= 6*64
= 384 unit²
Hence, the surface area of the cube is 384 unit².
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• El comedor del piso piloto tiene un área de 0,6 dam2 . En él se pondrán dos sofás que ocuparán 2,5 m2 de área cada uno, seis sillas de 2.500 cm2 de área cada una y una mesa de 360 dm2 . ¿Cuántos metros cuadrados libres tendrá el comedor?
Answer:
Quedan libres 49.9 metros cuadrados en el comedor.
Step-by-step explanation:
Un decámetro cuadrado ([tex]dam^{2}[/tex], antiguamente [tex]Dm^{2}[/tex]) equivale a 100 metros cuadrados, un metro cuadrado ([tex]m^{2}[/tex]) equivale a 10000 centímetros cuadrados ([tex]cm^{2}[/tex]) y 100 decímetros cuadrados ([tex]dm^{2}[/tex]). El área libre del comedor se obtiene al sustraer las áreas cubiertas de los muebles del área total del comedor:
[tex]x = 0.6\,dam^{2}\times \frac{100\,m^{2}}{1\,dam^{2}}- 2\times 2.5\,m^{2} - 6\times 2500\,cm^{2}\times \frac{1\,m^{2}}{10000\,cm^{2}} - 360\,dm^{2}\times \frac{1\,m^{2}}{100\,dm^{2}}[/tex]
[tex]x = 49.9\,m^{2}[/tex]
Quedan libres 49.9 metros cuadrados en el comedor.
Please help me. I will be giving 50 points, brainliest, a friend request, 5 stars and a heart. Please give an explanation as well.
Answer:
Step-by-step explanation:
Let older brother age be x and the age difference between the brothers be y
Younger brother's current age = x - y
When older brother's age was at x - y, younger brother's age was x - 2y = 2
When young brother's age will be at x, older brother's age will be x + y = 20
Subtracting the first equation from the second: 3y = 18
y = 6
x = 14
So the older brother is 14 and the younger brother is 8.
Sum of three son's ages now = 15 + 11 + 7 = 33
Daddy's age now = 45
Age difference = 12
Each year, daddy's age goes up by 1 while the sum of three son's ages goes up by 3.
Dividing the age difference by the difference in age gain, 12 / (3 -1) = 12 / 2
= 6
So in 6 years when daddy is 51 and the sum of sons at 21, 17 and 13 will be equal.
Answer:
Step-by-step explanation:
older bro age is x
younger bro age is y
age diff = x - y
it was (x-y) years ago when older bro was at age y
younger bro age then was y - (x - y) =2
2y - x = 2
younger bro will be at age x in (x-y) years
older bro age then will be x + (x-y) = 20
2x - y = 20
4x - 2y = 40
adding 2y - x = 2
3x = 42
x = 14
y = 2*14 - 20 = 8
daddy' age, 45 is 12 over the sum of sons (15, 11 and 7)
in 1 yr, dad age +1 n sum of sons +3 = difference of 2
so in 12/2 = 6 yrs they will be the same
What is the value of x?
Answer:
,
Step-by-step explanation: