Answer:
(-5/3, -4/3)
Step-by-step explanation:
3 < 6c +13 < 5 . . . . given
-10 < 6c < -8 . . . . . subtract 13
-10/6 < c < -8/6 . . . divide by 6
We can express the interval using reduced fractions as ...
(-5/3, -4/3)
Angle XYZ = 2X° and angle PQR = (8X -20)°. If angle XYZ and angle PQR are supplementary, find the measure of each angle. Angle PQR = ?
Answer:
[tex]PQR = 140[/tex]
Step-by-step explanation:
Given
[tex]XYZ = 2X[/tex]
[tex]PQR = 8X - 20[/tex]
Required
Find PQR
Since both angles are supplementary, we have:
[tex]XYZ + PQR = 180[/tex]
This gives:
[tex]2X + 8X - 20 = 180[/tex]
[tex]10X - 20 = 180[/tex]
Collect Like Terms
[tex]10X = 20 + 180[/tex]
[tex]10X = 200[/tex]
Divide through by 10
[tex]X = 20[/tex]
Substitute 20 for X in [tex]PQR = 8X - 20[/tex]
[tex]PQR = 8 * 20 -20[/tex]
[tex]PQR = 140[/tex]
Single-tickets sell for $20 each and a couple-tickets for $35 each. A total of 160 tickets are
sold, and the total value of the ticket is $4100. How many of each kind of ticket were sold?
Answer:
100 of the 20$ tickets, and 60 of the 35$ tickets
Step-by-step explanation:
20*x + 35*y = 4100
x + y = 160
That means x = 160 - y, put this into the first equation
20(160 - y) + 35y = 4100
3200 - 20y + 35y = 4100
15y + 3200 = 4100
15y = 900
y = 60
Put y = 60 into the second equation and
x + 60 = 160
x = 100
y = 60, x = 100
Double check that this works for both equations to make sure its right
20 * 100 + 35 * 60= 4100
2000 + 2100 = 4100 /Correct
100 + 60 = 160 /Correct
A student runs 100 meters in 11 seconds. What is the speed of the student in miles?
Answer:
0.00565 miles / second
Step-by-step explanation:
1 mile = 1609.344 meters
100 meters = 100/1609.344 = 0.0621 miles (aprox)
100 meter/ 11 seconds = 0.0621miles / 11 seconds
= 0.00565 miles / second
Please help me to solve the question!
Answer: (x - 3)² + (y + 0.5)² = 3.25 → [tex](x-3)^2+\bigg(y+\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]
Step-by-step explanation:
Concentric means they have the same center but different radii.
The equation of a circle is: (x - h)² + (y - k)² = r² where
(h, k) is the center of the circler is the radius of the circleComplete the square to find the center of the circle
x² - 6x + _____ + y² + y + _____ = 1 + ____ + ____
↓ ↓
-6/2 = -3 1/2 = 1/2
Equation: (x - 3)² + (y + 1/2)² = r²
Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².
(x - 3)² + (y + 1/2)² = r²
(4 - 3)² + (-2 + 1/2)² = r²
(1)² + (-3/2)² = r²
1 + 9/4 = r²
13/4 = r²
Equation: (x - 3)² + (y + 1/2)² = 13/4 → [tex](x-3)^2+\bigg(y-\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]
In decimal form: (x - 3)² + (y + 0.5)² = 3.25
r-18=27 Solve this equation
Step-by-step explanation:
r - 18 = 27
r = 27 + 18
r = 45
...
Answer:
r=45
Step-by-step explanation:
r-18 =27
r=27 +18
r=45
45 - 18 =27
Sam bought 3 boxes of chocolate online. Postage was $9 and the total cost was $45. How much was each box?
Answer:
12 dollars each
Step-by-step explanation:
do the math
Answer:
$1.7
Step-by-step explanation:
3 x 9 = 27
45 ÷ 27 =
about $1.7
What is the positive square root of 81?
Answer:
the positive square root of 81 is 9
Step-by-step explanation:
9 times itself equals 81
mason makes homemade pizza sauce. the recipe calls for 5 ounces of tomato sauce for every 1/4 teaspoon of garlic. what is the rate in ounces of tomato sauce per teaspoon of garlic that mason uses?
Answer:
Sauce requires milk, cheese, red potatoes
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
What is the product of -4(-15)? *
Answer: 60
Step-by-step explanation: -4x-15=60
Answer:
60
Step-by-step explanation:
negative times negative is equals to positive
which answer is it ????
Answer: it is option 2 person
Step-by-step explanation:
Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find? problem solving would really help thank youu!!!!
4 gallons=___pints?
Helppp
Answer:
32
Step-by-step explanation:
multiply the volume by 8
if f(x)=x^2, and
g(x)=x-1,then
f(g(x))= ___x^2+___x+____
Answer:
(1)x²+(1)+ (-2)
Step-by-step explanation:
f(g(x)= f(x-1) = (x-1)²
=x²+1-2
Answer:
Step-by-step explanation:
f(g(x))
g(x) = x - 1
f(x - 1)= (x - 1)^2 = x^2 - 2x + 1
Jaiden's pen pal from Mexico said that he lives 3.3 kilometers from school. Jaiden knows
that 1 kilometer is approximately 0.62 miles. Which is the closest distance (in miles) that
Jaiden's pen pal lives from school?
Answer:
2 miles
Step-by-step explanation:
3.3 kilometers to miles is 2.0505. I'm not sure if this question want you to round, but if it does, the answer would be 2 miles.
To get your approximate answer, multiply 3.3 (kilometers) by 0.62 (miles).
You get 2.046 if you multiply it by 0.62 like the question says to do.
Simplify (9-1)^5/(6+2)^3
Help
Answer:
64
Step-by-step explanation:
(9-1)^5 / (6+2)^3
8^5 / 8^3
32768 / 512
64
I NEED HELP ASAP PLEASEEE
Evaluate the expression for r = 5.
2r2 − 10r + 40 + 2r =
Answer:
50
Step-by-step explanation:
[tex]2( {5}^{2} - 10 \times 5 + 40 + 2 \times 5) \\ = 2(25 - 50 + 40 + 10) \\ = 50[/tex]
The bill from your plumber was $134. The cost for labor was $32 per hour. The cost for materials
was $46. How many hours did the plumber work.
Answer:
2.75 hours, or 2 hours and 45 minutes
Step-by-step explanation:
Subtract the cost of materials from the bill, 134-46=88.
Then, for every hour, he charges 32, so divide the difference by 32, 88/32.
If a car is going 150 miles per hour then how many meters per second is it traveling at?
around 67.046 meters. hope it helps :)
Simplify 12¹⁶/12⁴ .
[tex]12^{12}[/tex]
subtract 4 from 16.
Convert 10pi/9 to degree measure.
Answer:
The answer is
200°Step-by-step explanation:
To convert an angle from degrees to radians multiply the value by [tex] \frac{180}{\pi} [/tex]
From the question the value to be converted is [tex] \frac{10\pi}{9} [/tex]
Converting it into degrees we have
[tex] \frac{10\pi}{9} \times \frac{180}{\pi} \\ = \frac{1800}{9} [/tex]
We have the final answer as
200°Hope this helps you
slope of points (2,3) and (-4,12)
Answer:
[tex]\huge\boxed{slope=-\dfrac{3}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (2, 3) and (-4, 12).
Substitute:
[tex]m=\dfrac{12-3}{-4-2}=\dfrac{9}{-6}=-\dfrac{9:3}{6:3}=-\dfrac{3}{2}[/tex]
The sum of four consecutive integers is 106. What is the largest number?
Answer:
28
Step-by-step explanation:
25+26+27+28=106
Which statement best describes how Charlemagne expanded his territory in Europe? He led the Catholic Church as the Holy Roman emperor. He became king of the Franks and then conquered other lands. He created schools in the kingdom and then became emperor of Saxony. He created new laws that allowed him to become king of the Lombards and Saxons.
Answer:
He became king of the Franks and then conquered other lands.
Step-by-step explanation:
Charlemagne became king of the Franks after the death of his father, Pepin the Short.
He inherited a sizeable portion of land that included what is now France, the Low Countries, and parts of Germany.
Charlemange launched several military campaigns throughout his long reign (he ruled for 46 years), and was highly successful in most of them. He conquered Northern and Central Italy, what is now Switzerland and Austria, and the majority of modern day Germany.
He was crowned Holy Roman Emperor in the year 800 by Pope Leo III. In exchange for this, Charlemange ceded a section of Central Italy to the Pople: the Papal States, which would be under direct control of the Roman Catholic Church until the Napoleonic Era.
Answer:
b
Step-by-step explanation:
What does 70.2 rounded to the nearest ten?
Answer:
70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
PLZ HELP, GIVING BRAINLIEST!! A swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)^2 - 16 What is the lowest depth the swimmer reaches? How long does it take the swimmer to reach the lowest depth? a. 9 feet, 16 seconds b. 16 feet, 3 seconds c. 3 feet, 16 seconds d. 16 feet, 9 seconds
The time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a swimmer dives straight into the ocean. His depth, d, in meters after t seconds, can be modeled using the equation d = (t - 3)² - 16.
The time will be calculated as below;-
d = ( t - 3 )² - 16.
16 = ( t - 3 )² - 16
32 = ( t - 3 )²
√32 = t - 3
5.67 = t - 3
t = 5.67 + 3 = 8.67 ≅ 9 seconds
Therefore, the time taken by the swimmer to reach the lowest depth will be 9 seconds. The correct option is D.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ2
25 points plz answer this ASAP plz
Answer:
Step-by-step explanation:
P jkijm
A gopher was digging 8 inches below ground. To avoid a tree root, it dug 3 inches deeper. What is the position of the gopher now relative to the surface? To solve the problem, Miles subtracted 8–3 and came up with an answer of 11 inches. Is Miles correct? Why or why not?
Answer:
Miles is incorrect
8-3=5 not 11
8+3=11
Kathy's square garden has an area of 105 square feet. How long will one side of a fence around the garden be?
(Between which two consecutive numbers)
ASAP
Water flowed out of a tank at steady rate. A total of 18 1/2 gallons flowed out of a tank in 4 1/4 hours. Which expression determines the the quality of water leaving the tank per hour?
O 17/4 divide 36/2
O 36/2 divide 17/4
O 17/4 divide 37/2
O 37/2 divide 17/4
Answer: In 1 hour water flowed out = 74/17 gallons
Step-by-step explanation:
Given as ,
The quantity of water flowed out of tank = 18 1/2 gallons
= 37/2 gallons
The time spend in flowing water out of tank = 4 1/4 hours
= 17/4 hours
∵ In 17/4 hours , water flowed out = 37/2
∴ In 1 hours , water flowed out =
So, in 1 hour water flowed out = 37*4/17*2 gallons Answer
Answer:
total galloons flowed=18 1/2=36/2
time that it flowed=4 1/4=16/4
rate=total galloons flowed/time to flow
rate=36/2÷16/4
=9/2gallons per hour
4.5gallons per hour
9x+y=8 solve for y I dont know how to get y by itself im very confused pls hellp
Answer:
Hey angel i have missed talking to you on padlet and i hope we are still friends
Step-by-step explanation:
Step-by-step explanation:
subtract 9x from both sides
y = -9x+8