Answer: x = y/w+z
Step-by-step explanation:
Use the figure to the right to find the value of PT. T is the midpoint of PQ.
PT = 5x +2 and TQ = 7x-6
PT=
(Simplify your answer.)
Answer:
22
Step-by-step explanation:
Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.
Therefore:
[tex] 5x + 2 = 7x - 6 [/tex]
Let's find the value of x
Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.
[tex] 5x - 7x = - 2 - 6 [/tex]
[tex] -2x = -8 [/tex]
Divide both sides by -2
[tex] x = 4 [/tex]
Plug in the value of x into the expression, 5x + 2, to find PT.
PT = 5(4) + 2 = 22.
Stuck on this 6/9 times 3
Answer:
2
Step-by-step explanation:
6/9 * 3
First you can either simplify this to make it easier or directly multiply. Simplify it by dividing 3 on the 9.
6/3=2
Or you can multiply and it would be 18/9, because 6*3=18.
18/9=2
Can someone help with this I don’t understand
Answer: see below
Step-by-step explanation:
3x-12=7x+8 ⇔ given
-12=4x+8 ⇔ addition property of equality
-20=4x ⇔ subtraction property of equality
x=-5 ⇔ division property of equality
-----------------------
5(x-1)=4x+13 ⇔ given
5x-5=4x+13 ⇔ distributive property
x-5=13 ⇔ subtraction property of equality
x=18 ⇔ addition property of equality
which are composite numbers?
49
35
32
41
47
Answer:
49, 35 and 32 are composite and the rest are orime numbers
Answer:
[tex] \boxed{ \bold{ \huge{\boxed {\sf{49 \: , \: 35 \: , \: 32}}}}}[/tex]
Step-by-step explanation:
Composite numbers are whole numbers that can be divided by numbers other than itself and 1.
Among 49 , 35 , 32 , 41 and 47,
: 49 , 35 and 32 are composite numbers.
49 is a composite number as it comes in the multiplication table of 1 , 7 and 49 . So, this means it comes in the table of more than 2 numbers. 35 is a composite number as it comes in the multiplication table of 1 , 5 , 7 and 35.32 is a composite number as it comes in the multiplication table of 1 , 2 , 4 and 16. 41 is not a composite but a prime number as it comes in the multiplication table of only 1 and 41 [ 1 and itself ] 47 is not a composite but a prime number as it comes in the multiplication table of only 1 and 47 [ 1 and itself ]Hope I helped!
Best regards!!
4. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.) 5. Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)
Answer:
See below.
Step-by-step explanation:
4)
So we have the function:
[tex]g(y)=7-6y[/tex]
And we want to find:
[tex]g(s+1)[/tex]
So, substitute y for (s+1):
[tex]g(y)=7-6y\\g(s+1)=7-6(s+1)\\[/tex]
Distribute:
[tex]g(s+1)=7-6s-6[/tex]
Subtract:
[tex]g(s+1)=-6s+1[/tex]
5)
So we have the function:
[tex]h(t)=t^2-2t[/tex]
And we want to find:
[tex]h(x-3)[/tex]
So, substitute t for (x-3):
[tex]h(t)=t^2-2t\\h(x-3)=(x-3)^2-2(x-3)[/tex]
Square and distribute:
[tex]h(x-3)=(x^2-6x+9)+(-2x+6)[/tex]
Combine like terms:
[tex]h(x-3)=(x^2)+(-6x-2x)+(9+6)[/tex]
Add:
[tex]h(x-3)=x^2-8x+15[/tex]
And those are our answers :)
solve x^3 = 125/27 pls
Answer:
5/3
Step-by-step explanation:
Take the cube root of each of the numbers on the right
A truck parked on the street is 56 m from the base of the apartment building on the right. The angle of elevation from the truck to the top of the building is 40°. The parked truck is 49 m from the base of the apartment building on the left. The angle of elevation from the truck to the top of that building is 50°. Which building is taller?
Answer:
Building to the left is taller.
Step-by-step explanation:
Kindly refer to the attached diagram for the given dimensions.
[tex]\triangle ABR, \triangle PQR[/tex]
AB and PQ be the two buildings.
The car be parked at point R.
[tex]\angle ARB = 50^\circ\ and \\\angle PRQ = 40^\circ[/tex]
Distance of R from building bases:
BR = 49 m
QR = 56 m
Let us use tangent in [tex]\triangle PQR:[/tex]
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
[tex]tan40 = \dfrac{h_1}{56}\\\Rightarrow h_1 = 56 \times 0.839 \\\Rightarrow h_1 \approx 47\ m[/tex]
Let us use tangent in [tex]\triangle PQR:[/tex]
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
[tex]tan50 = \dfrac{h_2}{49}\\\Rightarrow h_2 = 49 \times 1.19 \\\Rightarrow h_2 \approx 58.4\ m[/tex]
So, building to the left is taller.
En un supermercado tienen dos contadores eléctricos de flujo de personas 1 registra de 3 en 3 y el otro de 5 en 5 en el momento que ambos se detienen unos señala de 840 y el otro de 560 diga Cuál de los dos es el que marca de 3 en 3?
Answer:
El contador que señala 840 registra de 3 en 3.
Step-by-step explanation:
Existe un truco para determinar si un número es múltiplo de 3, si la suma de sus dígitos es 3 o uno de sus múltiplos, entonces el número es un múltiplo de 3. En consecuencia, corresponde al contador eléctrico que registra de 3 en 3 y el otro contador eléctrico sería el que registra de 5 en 5.
Primer contador: 840
[tex]x = 8+4+0[/tex]
[tex]x = 12[/tex]
12 es un múltiplo de 3, por tanto, este contador es el que registra de 3 en 3.
Segundo contador: 560
[tex]x = 5+6+0[/tex]
[tex]x = 11[/tex]
11 no es un múltiplo de 3. Asimismo, todo número que sea múltiplo de 5 termina en 5 o 0, entonces este contador es el que registra de 5 en 5.
El contador que señala 840 registra de 3 en 3.
Find an equation of the line parallel to y=x+3 and that passes through the point (1 -5)
Answer:
y=x-6
Step-by-step explanation:
Y=x+3 according to this equation, the gradient is 1 comparing to y=mx+c. so m is the gradient. so from the equation, the coefficient of x is 1. since the line is parallel so it means the new equation has the same gradient m.
y=x+c but it passes through 1,-5...when x= 1, y=-5 from here , we Can find the new intercept c. -5=1+c. so c=-5-1=-6
the new equation y=x-6
The U.S department of Agriculture reported that 45 out of every 115 milk drinkers drink skim milk. If a store owner orders 23 gallons of milk, how many should be skim
Answer:
8.99999999998
Step-by-step explanation:
45:115::_:23
The ratio between 45 and 115 is 2.55555555556 so 23 divied by that is 8.99999999998
0.401
Convert the following repeating decimals to a rational number.
Answer:
401/999
Step-by-step explanation:
0.401/100
M is the midpoint of ST. S(-8, 9) and M(-10, 14). Find the coordinates of the other endpoint, T.
Answer:
T = (-12, 19)
Step-by-step explanation:
We know that the definition of the midpoint is ...
M = (S + T)/2
Solving for T gives ...
T = 2M -S
T = 2(-10, 14) -(-8, 9) = (-20+8, 28-9)
T = (-12, 19)
7/60=5/24w+11/12 please help!!!!
Answer:
Step-by-step explanation:
w = -3 and 21/25
The value of w in 7/60=5/24w+11/12 is 6/5.
Given,
7/60 = 5/24 w + 11/12
We need to solve for w.
How do we solve an equation?It depends on the type of equation given.
We need to keep the variable that we are solving for in one side and simplify the other terms.
Find the value of w.
We have,
7/60 = 5/24 w + 11/12
Subtract 11/12 on both sides.
7/60 - 11/12 = 5/24 w + 11/12 - 11/12
7/6 - 11/12 = 5/24 w
Simplify the left-hand side into a fraction.
(14 - 11 ) / 12 = 5 / 24 w
3 / 12 = 5 / 24 w
Multiply 24 / 5 on both sides.
24/5 x 3/12 = 24/5 x 5/24 w
6 / 5 = w
w = 6 / 5
Thus the value of w in 7/60=5/24w+11/12 is 6/5.
Learn more about how to solve for a variable in a given equation here:
https://brainly.com/question/21085177
#SPJ2
1-1 Relations and Functions
Marcus drives 32 miles to work each day. He records the number of minutes it takes him to drive and writes his average speed as the input
and the number of minutes as the output. He recorded his information in a table, like the one shown below.
Speed
(mph)
60
Time
(minutes)
32
45
43
55
35
50
38
62
31
If Marcus drives no faster than 65 miles per hour, what is the domain that includes all possible average speeds using interval notation?
A [0.65)
B. [65,00)
C. (0.65)
D. (65.00)
Answer:
{0, 65]
Step-by-step explanation:
A function shows the relationship between two variables (an independent and dependent variable). The independent variable is not dependent on other variables, it is considered as the input while the dependent variable is dependent on other variables and considered as output.
The speed of Marcus must not be faster than 65 mph, hence speed ≤ 65 mph. This means that Marcus can drive with speed ranging from 0 mph to 65 mph, hence 0 ≤ speed ≤ 65 mph. This is represented using the interval notation:
[0, 65]
please help i don’t know how to do this
Answer: A
Step-by-step
write slope-intercept form of the equation of the line described.
through(5,4), parallel to y=(1/5)x-5
Answer:
y = 1/5x + 3
Step-by-step explanation:
parallel lines have the same slope
y = 1/5x + b
4 = 1/5(5) + b
4 = 1 + b
b = 3
y = 1/5x + 3
An object in geometry with no width, length or height is a(n):
A. ray
B. line
c. point
D. angle
Answer:
the object with no width , lenght or height is s point
Answer:
point
Step-by-step explanation:
a ray has a length
the line also had a length
a point is just a dot
and angle has length and height.
I hope this helps!!!
there are 300 window for b buildings. assuming there is an equal number of windows per building, how many windows does each building have
Answer:
[tex] x = \frac{300}{b} [/tex]
Step-by-step explanation:
We are given that, "b" number of buildings has 300 windows.
Let b represent the number of buildings.
Let x represent the number of windows per building.
Thus, the following equation can be used to expressed the number of windows for b buildings:
Number of buildings*number of windows per building = 300 windows
[tex] x*b = 300 [/tex]
The number of windows each building has would be:
[tex] \frac{x*b}{b} = \frac{300}{b} [/tex]
[tex] x = \frac{300}{b} [/tex] windows per building
Nina is training for a marathon. She can run 4 1/2 kilometers in 1/3 of an hour. At this pace, how many kilometers can Nina run in 1 hour
Answer:
13½ kilometers
Step-by-step explanation:
If Nina runs 4½ km in ⅓ of an hour, at this pace, the number of km she'd run in an hour can be calculated as follows.
Let x be the number of km to run in an hour.
4½km => ⅓ hr
x km => 1 hr
Cross multiply
[tex] 1*4\frac{1}{2} = \frac{1}{3}*x [/tex]
[tex] 4\frac{1}{2} = \frac{x}{3} [/tex]
Multiply both sides by 3
[tex] 4\frac{1}{2}*3 = \frac{x}{3}*3 [/tex]
[tex] \frac{9}{2}*3 = x [/tex]
[tex] \frac{27}{2} = x [/tex]
[tex] 13\frac{1}{2} = x [/tex]
x = number of km Nina runs in 1 hour = 13½ kilometers
simplify -16 + 9 - (-2) + (-5)
A. 0
B. -10
C. -14
D. -28
Answer:
B. -10Step-by-step explanation:
[tex]-16 + 9 - (-2) + (-5)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\-16+9=-7\\\\=-7-\left(-2\right)+\left(-5\right)\\\\=-7+2+\left(-5\right)\\\\-7+2=-5\\\\=-5+\left(-5\right)\\\\=-10[/tex]
B. - 10
Step-by-step explanation:Hi there !
-16 + 9 - (-2) + (-5) =
- (-) = +
+ (-) = -
= - 16 + 9 + 2 - 5
= - 10
Good luck !
A wildlife habitat houses 41 animals. There are three more reptiles than mammals in the habitat. There are seven fewer amphibians than mammals in the habitat. How many amphibians are there in the habitat?
Answer: 8
Step-by-step explanation:
Let mammals be represented by y
There are three more reptiles than mammals in the habitat. Therefore, Reptiles = y + 3
There are seven fewer amphibians than mammals in the habitat. Therefore, amphibian = y - 7
y + y + 3 + y - 7 = 41
3y - 4 = 41
3y = 41 + 4
3y = 45
y = 45/3
y = 15
Since amphibian = y - 7
= 15 - 7
= 8
There are 8 amphibians
What is 1,872.072 rounded to the nearest hundredth?
Answer:
1872.07
Step-by-step explanation:
2 rounds down so... 0.07
1872.07
Please help ASAP! Thank you<3
Answer: I believe its 2
Step-by-step explanation:
Start on the top, 4 squared is 16, then divided by two is 8, plus 6 is 14, then on the bottom 4+3 equals 7 so then you get, 14/7 and that equals 2.
hope this helps
If f(x) and f-1(x) are inverse functions of each other and f(x)=2x+5, what is f-1(8).
Answer: 3/2
Step-by-step explanation:
urgio wants to buy gifts for 8 friends. he wants to gie the same gife to all his friends and he plans to have all the gifts wrapped in additional charge for 1.50 dollars each. if sergio spends at least 70 dollars he will recieve free shipping on his order. write and inequality to determine how much sergio needs to spend on each gift to order to receive free shipping
[tex]7.25 \leqslant x[/tex]
Step-by-step explanation:
you do 1.5×8 to see how much shipping cost
you get 12 then subtract 12 from 70 and you get 58, then you do 58÷8 and you get $7.25
so he needs to spend $7.25 or more on each friend. (im pretty sure)
The amount urgio needs to spend on each gift in order to receive free shipping is 7.25.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that urgio wants to buy gifts for 8 friends. he wants to gie the same gife to all his friends and he plans to have all the gifts wrapped in additional charge for 1.50 dollars each.
Let the cost of each gift = c
urgio is buying gifts for 8 friends = 8 gifts
Hence, the Inequality equation is written as:
(c + $1.50)× 8 ≥ $70
8c + 12 ≥ 70
8c ≥70 - 12
c ≥ 58/8
c≥ 7.25
Therefore, the amount urgio needs to spend on each gift in order to receive free shipping is 7.25
Learn more about inequality ;
brainly.com/question/14164153
#SPJ2
Is 1+4(3x-10)-12x equivalent to -39
Answer:
No solution-40 =38Step-by-step explanation:
[tex]1+4\left(3x-10\right)-12x=39\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\1+4\left(3x-10\right)-12x-1=39-1\\\\Simplify\\4\left(3x-10\right)-12x=38\\\\\mathrm{Expand\:}4\left(3x-10\right)-12x:\quad -40\\-40 =38\\\\The \:sides\: are\: not\: equal \:so\\\mathrm{No\:Solution}[/tex]
flx) = 1
g(x) = x-4
Can you evaluate (g o (0)? Explain why or why
not.
I have no idea how I’m supposed to do this.
hahaha yeah I know you me doing and that you have
Express 81 as the sum of first nine consecutive odd numbers
Answer:
see explanation
Step-by-step explanation:
The sum of the first 9 consecutive odd numbers is
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81
Answer: 1+3+5+7+9+11+13+15+17=81
Step-by-step explanation:
The sum of the first 9 consecutive odd numbers is
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81
6 more than the product of 5 and a number.
Answer:
6+ 5n
Step-by-step explanation:
Answer:
My answer to the question is 6>5n.