Because the lines are parallel, the 71 degree angle and the (5x-26) angle when added together need to equal 180 degrees.
SO you have 71 + 5x -26 = 180
Simplify:
5x + 45 = 180
Subtract 45 from both sides:
5x = 135
Divide both sides by 5:
x = 135 / 5
x = 27
Now you have x solve what that angle equals:
5x - 26 = 5(27) - 26 = 135 - 26 = 109 degrees
The angle Y and the angle 5x-26 are vertical angles, which mean they are the same,
so now we know 5x-26 = 109 degrees, so Y also equals 109 degrees.
The answers are:
x = 27
y = 109
On Friday, there were x students at the baseball game. On Monday, there were half as many students at the game as there were on Friday. On Wednesday, there were 32 fewer students at the game as there were on Friday. Which expression could represent the total number of tickets sold for all 3 games?
2 and one-half minus 32
2 and one-half x + 32
3 and one-half x minus 32
3 and one-half x + 32
Answer:
I assuume it is C, hope this works?
Step-by-step explanation:
Answer:
Its A
Step-by-step explanation:
I
Al's Cardboard produces cereal boxes and uses the expression 16x ^ 2 + 56x + 24 to determine the volume of each box. The cereal box below was produced by Al's Cardboard and has a width of 8 centimeters ( cm )
Answer:(8x+24) (2x+1)
Step-by-step explanation:
Answer:d
Step-by-step explanation:
Jerry lives 3 1/2 miles away from Jake. Jerry and Jake decided to meet half between their houses and then walk to the park together. The park is located 3/5 mile from the halfway point. How far did Jerry walk in all to get to the park?
Answer: Jerry walked 2 7/20 miles to get to the park
Step-by-step explanation:
1/2 of 3 1/2
1/2 of 7/2 = 7/4
7/4 + 3/5
Find the LCM of the denominator
LCM of 4 and 5 = 20
35/20 + 12/20 = 47/20 = 2 7/20
Jerry walked 2 7/20 miles to get to the park
Brady has a card collection with 32 basketball cards, 24 football cards, and 40 baseball cards. He wants to
arrange the cards in equal piles, with only one type of card In each plle.
How many cards can he put in each plle? Select all that apply.
Answer:
he can make 8 piles before he runs out and has 2 cards leftover
Step-by-step explanation:
Find the simple interest if you invest $568 at 16% for 8 months.
PLSSS HELPPPPPP :(((((
Answer:
Step-by-step explanation:
y+11<30
subtract 11 from both sides
y+11-11<30-11
y< 19
choice A
Step-by-step explanation:
y + 11 < 30 Original inequality
y + 11 - 11 < 30 - 11 Isolating the variable
y < 19 The answer / Simplification
The answer is A, I hope this helps!!!
Is range a measure of center or a measure of variation? A. measure of center B. measure of variation
Answer:
B
Step-by-step explanation:
It’s B bc I know!!!
If f(x) = -x2 – 1, and
g(x) = x + 5, then
g(f(x)) = [? ]x? +[ ]x +[ ]
could someone help me with this please, thank u
Answer:
g(f(x)) = -x^2 + 4
Step-by-step explanation:
What we simply have to do here is to put f(x) into g(x)
What this mean is that every x in g(x) will be represented by f(x)
Thus, we have it that
-x^2 - 1 + 5
= -x^2 + 4
heeeeeeelpppppppppppp
Answer:
$128
Step-by-step explanation:
Expressions include numbers, variables, and an equal sign.
True
False
False. Generally, an expression does not contain an equality symbol. Numbers and/or variables (letters) and operation symbol(s), for example, “x + 10”
Suppose a charity received a donation of $19.2 million. If this represents 36% of the charity's donated funds, what is the total
amount of its donated funds?
Round your answer to the nearest million dollars.
A number c minus 6 is less than or equal to 5.3. Write this word sentence as an inequality.
An inequality is
Answer:
C - 6 < = 5.3
Step-by-step explanation:
Writing the above as an equality, we would have ;
Since C is less than 6, then;
C - 6
Therefore, C minus 6 is less than or equal to 5.3 is
C - 6 < = 5.3
An inequality is when an unequal relationship exist between two expressions, which uses signs such as not equal to , less than < , greater than > etc.
Four puzzles that were manufactured contained a total of 420 pieces. The next 6 puzzles contained a total of 630 pieces. If the relationship between the number of puzzles and the total number of puzzle pieces continues to be proportional, which could be the missing entries in the table?
Answer: B.) 8 Puzzles and 840 pieces
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
A recipe calls for 6 cups of water and 4 cups of flour. a. What is the ratio of water to flour?
b. If the recipe is increased to use 6 cups of flour, how much water should be used?
c. If the recipe is decreased to use 2 cups of water, how much flour should be used?
Answers:
a) The ratio of water to flour is 3:2b) 9 cups of waterc) 1 & 1/3 cups of flour====================================================
Work Shown:
Problem 1
6 cups water: 4 cups flour
(6/2) cups water: (4/2) cups flour
3 cups water: 2 cups flour
3:2 is the ratio of water to flour
In the second step, I divided both parts by the GCF 2 to reduce the ratio.
-------------------------
Problem 2
(3 cups water)/(2 cups flour) = (x cups water)/(6 cups flour)
3/2 = x/6
3*6 = 2*x ... cross multiply
18 = 2x
2x = 18
x = 18/2
x = 9
You'll need 9 cups of water
-------------------------
Problem 3
(3 cups water)/(2 cups flour) = (2 cups water)/(y cups flour)
3/2 = 2/y
3y = 2*2
3y = 4
y = 4/3
y = (3+1)/3
y = 3/3 + 1/3
y = 1 + 1/3
y = 1 & 1/3
You'll need 1 & 1/3 cups of flour
This value is a mixed number with the first "1" being the whole part, and the 1/3 being the fractional part.
This is saying you'll need 1 full cup of flour, plus an additional one-third cup of flour to go on top of that.
What is this answer?
Answer:
The answer is (-1,-10)
hope this helps
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
D. (-1, -10)
Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!
write a real word problem that you could represent 3+ x =10
HELP???? PLEASE AND FAST IM ON THE BRINK OF DEATH --
Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of 1/3 an ounce per second.
Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, 2/3 an ounce per second.
1) Graph this situation on
2) What does the graph tell you about the situation and how many solutions there are?
Answer:
See below.
Step-by-step explanation:
Create a system of equations to represent this scenario.
Lin: 12 - 1/3x = yDiego: 20 - 2/3x = y1) A graph of these equations is attached below. Lin is in red; Diego is in blue.
2) The time (seconds) is on the x-axis, while the milkshake (oz) is on the y-axis. The graph shows the rate of change that the volume of the milkshake is decreasing for both Lin and Diego. The intersection point tells us at what time t (s) Lin and Diego have the same amount of milkshake left.
There is only one solution to this system of equations: (24, 4). This tells us that at t = 24 s, Lin and Diego both have 4 oz of milkshake left.
The zeros, aka where the graph touches the x-axis, tell us at what time Lin and Diego finish their milkshakes.
Lin finishes her milkshake later than Diego, at t = 36 s (36, 0), while Diego finishes his milkshake at t = 30 s (30, 0).
A population of 249 birds increases at a rate of 16% annually. jewel writes and exponential function of the form f(x)=abc to represent the number of birds after x years. Which values should she use for a and b
Answer:
a = 249 and b = 1.16
Step-by-step explanation:
Consider the provided information.
The exponential function for growth is: [tex]y=a(1+ r)^x[/tex]
Here, a is the initial value and r is the rate of change.
It is given that the number of birds is 249.
It means a = 249
The rate is given 16%
r=0.16
Put the value of a and r in the above formula.
[tex]y=249(1+0.16)^x[/tex]
[tex]y=249(1.16)^x[/tex]
Now we will compare it with the exponential function form [tex]y=ab^x[/tex]
Therefore, a = 249 and b = 1.16
Bryant spent half of his weekly allowance on an XBOX ONE game. To earn more money his parents let him wash the car for $4. What is his weekly allowance if he has $12 at the end of the week? Which equation matches the word problem?
Answer:
$16
Step-by-step explanation:
12-4=8
8 x 2= 16
⭐hello my Friend!
he will have 16 dollars.
just do the math:
[tex]12 - 4 = 8[/tex]
[tex]8 \times 2 = 16[/tex]
⭐have good studies!
☝️follow the rules of brainly!
If the maximum value of y=-3x² + mx + 10 is 37, find the values of m.
Step-by-step explanation:
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
3. The measure of side c is 110 inches and
the measure of side a is 45 inches. What is
the length of side b?
5 pencils cost £4.25.
How much do 9 pencils cost?
Answer:
£ 7.65
Step-by-step explanation:
Cost of 5 pencils = £ 4.25
Cost of 1 pencil = £ 4.25 / 5 = £ 0.85
Now
Cost of 9 pencils = £ 0.85 * 9 = £ 7.65
Hope it will help :)❤
Step-by-step explanation:
Hey there!
Given;
The cost of 5 pencils is £ 4.25.
Cost of 9 pencils= ?
Now;
~ Finding cost of one pencil.
Cost of 1 pencil= £4.25/5
= £0.85
~ Finding cost of 9 pencils.
Cost of 9 pencils= £9*0.85
= £7.65
Therefore, the Cost of 9 pencils is £7.65.
Hope it helps....
It takes servers in a restaurant 18 minutes to clear and set 9 tables.
At this rate, how long will it take them to clear and set 20 tables
Answer:
40 minutes
Step-by-step explanation:
To find it taes to clear and set one table divide time by the amount of tables. 18/9=2. It takes 2 minutes per table. To find the answer for 20 tables, you have to multiply 20 by 2. It takes 40 minutes to set and clear 20 tables.
Candice is deep-sea diving with two friends. Whitney is exploring a coral reef 56 feet in front of Candice, and Ed is floating on the surface directly above Candice. If Ed and Whitney are 70 feet apart, how far apart are Candice and Ed?
Answer:
126
Step-by-step explanation:
70
+ 56
126
If Ed and Whitney are 70 feet apart, then Candice and Ed are 42 feet apart.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that the Candice is deep-sea diving with two friends
Whitney is exploring a coral reef 56 feet in front of Candice
The distance between Whitney and Candice is 56 feet.
Ed is floating on the surface directly above Candice.
Ed and Whitney are 70 feet apart, we need to find the distance between Ed and candice.
By using Pythagoras theorem we can find this.
70²=56²+x²
4900=3136+x²
Subtract 3136 from both sides
4900-3136=x²
x²=1764
Take square root on both sides
x=42
Hence, If Ed and Whitney are 70 feet apart, then Candice and Ed are 42 feet apart.
To learn more on trigonometry click:
https://brainly.com/question/29002217
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Pam went to the fair. She went on the same 6 times and used the same number of tickets each time. She used 18 tickets. How many tickets did she use each time she went on the ride?
Answer:
3 tickets
Step-by-step explanation:
If you did 18/6 it would cost 3 tickets each time on the ride.
18÷6=3 tickets
From stations A and B, the distance between which is 910 mi,
two trains left simultaneously moving towards each other. The
speed of one train was 10 mph greater than the speed of the
other one. In 5 hours the trains met. Find the speed of each train.
Answer:
The slowest train goes at 86 mph and the fastest train goes at 96 mph.
Step-by-step explanation:
Distance and Speed
Assume x is the speed of the slowest train, therefore the speed of the fastest train is x+10.
The distance is calculated as:
d = vt
Where v is the speed and t is the time.
The distance traveled by each train in 5 hours is:
Slowest: 5x
Fastest: 5(x+10)
The sum of both distances is 910 miles:
5x + 5(x + 10) = 910
Operating:
5x + 5x + 50 = 910
10x = 910 - 50 = 860
x = 860/10
x = 86
The slowest train goes at 86 mph and the fastest train goes at 96 mph.
what equation is y=4/5x+8 in standard form
Answer:
4x−5y=−40 I think thats the answer
Couch and coffee table cost a total of $996. The cost of the couch is two times the cost of the coffee table find the cost of each item.
Answer:500
Step-by-step explanation:
3) A skier traveled downhill at a rate of 12 feet per second. If he started at an elevation of 1,200 feet, what is his elevation after one minute?
Answer:
480
Step-by-step explanation:
12 x 60 = 720
1200 - 720 = 480
Answer: 1,920
Step-by-step explanation:
12ft per second, so to find out his elevation after one minute you would have to convert from seconds to minutes. (60 sec = 1 min). So you would do 12*60 to get 720. And since he already started at 1,200 feet, you add 720. So 1,200+720 = 1,920 ft.
If x²-2=2⅔ +2-⅔
then prove that 2x³-6x =5 solve and send photo please
Answer:
Step-by-step explanation:
x²-2=2⅔ +2-⅔
x^2 = 2^1 + 2⅔ +2-⅔
x^2 = 4.21736
x = 2.0536.
Plug this into 2x^3 - 6x:
= 2(2.0536)^3 - 6(2.0536)
= 5
So 2x^3 - 6x = 5.
answer:
[tex]x1 = - \sqrt{6} \\ x2 = \sqrt{6} [/tex]
Step-by-step explanation:
[tex]x ^{2} - 2 = \frac{8}{3} + 2 - \frac{2}{3} [/tex]
[tex]x^{2} - 2 = 4[/tex]
[tex]x^{2} = 4 + 2[/tex]
[tex]x^{2} = 6[/tex]
[tex]x = - \sqrt{6} \\ x = \sqrt{6} [/tex]
[tex]x1 = - \sqrt{6} \\ x2 = \sqrt{6} [/tex]