Answer:
11
Step-by-step explanation:
Use PEMDAS
Lines AB, CD, and EF intersect at point G. How many PAIRS of vertical angles are there in this diagram
Find three consecutive even integers such that the sum of the first and third increased by 18 is equal to three times the second.
Answer:
16, 18 and 20Step-by-step explanation:
x - an integer
2x - an even integer (the first)
Even integers increase by 1 so:
2x+2 - next consecutive integer (the second)
3(2x+2) - three times the second
2x+4 - the third consecutive integer
2x+2x+4 - the sum of the first and third
2x+2x+4+18 - the sum of the first and third increased by 18
2x+2x+4+18 = 3(2x+2)
4x + 22 = 6x + 6
-6 -6
4x + 16 = 6x
-4x -4x
16 = 2x
2x = 16
2x+2 = 18
2x+4 = 20
Check: 16+20+18=54; 3×18=54
QUICK HELP!! 50 POINTS!!
Find the value of x.
x=
Answer:
x = 14
Step-by-step explanation:
These angles are complementary angles, meaning they have a sum of 90°.
4x + 1 + 2x + 5 = 90
6x + 6 = 90 (Added like terms.)
6x = 84 (Subtracted 6 on both sides.)
x = 14 (Divided 6 on both sides.)
[tex]\sf \longmapsto \: (4x + 1) + (2x + 5)[/tex]
It has a sum of 90 as the given angles are complementary angles.[tex]\sf \longmapsto \: 4x + 1 + 2x + 5 = 90[/tex]
[tex]\sf \longmapsto4x + 2x + 1 + 5 = 90[/tex]
[tex]\sf \longmapsto6x + 6 = 90[/tex]
[tex]\sf \longmapsto6x = 90 - 6[/tex]
[tex]\sf \longmapsto \: 6x = 84[/tex]
[tex]\sf \longmapsto \: x = \cancel\dfrac{84}{6} [/tex]
[tex]\sf \longmapsto \: x = 14[/tex]
[tex] \boxed{\sf \boxed {{ \sf \red{\: x = 14 }}}}[/tex]
Richard earns $25 allowance each week how can she mentally compute her total earnings after seven weeks
she would have to multiply 25 × 7 to get $175
six sets of eight objects each
Answer:
6 × 8 = 48
Step-by-step explanation:
6 sets of 8 objects, to get the answer you have to multiply
6×8 = 48
A student solved the given equation and justified every step except one. What is the missing reason? A) Associative property of addition B) Commutative property of addition C) Multiplicative property of equality D) Distributive property of multiplication over addition
Given:
The statements and reasons to solve an equation.
To find:
The missing reason.
Solution:
If a, b and c are three real number, then
Associative property of addition : [tex](a+b)+c=a+(b+c)[/tex]
Commutative property of addition : [tex]a+b=b+a[/tex]
Multiplicative property of equality : [tex]a=b\Leftrightarrow ca=cb[/tex]
Distributive property of multiplication over addition : [tex]a(b+c)=ab+ac[/tex]
In the given step, [tex](x+-3)+3[/tex] is written as [tex]x+(-3+3)[/tex].
It means, only parenthesis are changed, which is possible by Associative property of addition.
So, the missing reason is Associative property of addition.
Therefore, the correct option is A.
Write this rate as a unit rate 7/5 miles 2/3 hour
Answer:
3.5 miles per hour
Step-by-step explanation:
7 miles ÷ 2
2 hours ÷ 2
=
3.5 miles
1 hour
=
3.5 miles
hour
= 3.5 miles per hour
Tara has $55.00. Her brother has $115
Tara saves $7 per week. Her brother saves $5 per week. After x weeks, they will have
saved the same amount. What equation shows this relationship?
Step-by-step explanation:
Tara: 55+7(x)
Brother; 115+5(x)
Answer- 55+7(x)=115+5(x)
Is this right? Also what do I have to right in the box.
Answer:
WHAT IS RIGHT
Step-by-step explanation:
Is this right? Also what do I have to right in the box. WHAT IS...
c + d, for c= (-6) and d = (- 12)
Answer:
-18
Step-by-step explanation:
1st- Subsitute the numbers
c + d c=-6 d=-12 (-6) + (-12)
Remember ( +, +) signs add ( +, - ) signs subtract
2nd- Add the two numbers (-6) + (-12) = -18
The owner of a health club decides to reduce the $35 membership fee by $5. What is the approximate percent
decrease in the fee?
Answer:
14%
Step-by-step explanation:
solve this equation by undoing in reverse order. x/3+5/2=5.5
36. A group of 30 students from the senior class
charters a bus to an amusement park. The total
amount they spend on the bus and admission
to the park for each student is $1,770.
A group of 50 students from the junior class
also go to the amusement park, but they
require two buses. If the group from the junior
class spent $3,190 in total, how much does it
cost to charter one bus?
LESSON 4-3 Solving Systems of
I got $720 because i did x + 30y = 1770, and then 2x + 50y = 3190, 5x + 150y = 8850, 6x + 150y = 9570 and lastly x = 720.
The required cost of one charter bus would be 720 dollars.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let's assume that cost to charter one bus would be x and the spend on the student would be y
According to the given situation, we can write the equations as
x + 30y = 1,770 ....(i)
2x + 50y = 3,190 or
x + 25y = 1,595 .....(ii)
Subtracting equation (ii) from equation (i), and solving for y
x + 30y - (x + 25y) = 1,770 - 1,595
5y = 175
y = 35
Substitute the value of y= 35 in the equation (i), and solve for x
x + 30(35) = 1,770
x + 1,050 = 1,770
x = 1,770 - 1,050
x = 720
Therefore, the cost of one charter bus would be 720 dollars.
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A ferryboat makes four trips to an island each day. The ferry can hold 88 people. If the ferry is full-on each trip, How many passengers are carried by the ferry each day?
Answer:
I believe it 352.
Step-by-step explanation:
if you know it's at full capacity of 88 on all four trips multiply 4×88.
SOMEBODYY HELP ILL GIVE BRAINLYY......
Step-by-step explanation:
a^2+b^2 = c^2
C is the biggest number, so put in all the numbers in the equation then if it's equal then it's a right triangle.
example: 6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
this one is a right angle because the two sides is equal to the hypotenuse(largest number).
Does anybody know the the endpoints of these segments
Answer:
D, (13, 4.5)
Step-by-step explanation:
(question asked for midpoint so my bad if this isnt what you wanted)
to calculate the median of a vector, you would have to do a simple calculation to get the answer
for the x coordinate, (9 + 17) / 2 would be 13
for the y coordinate, 5 + 4 / 2 would be 4.5
combining those would give you the answer (13, 4.5)
what is the solution for the following system of equations ?
2x + y = 7
x - 2y = 6
Answer:
(4,-1)
Step-by-step explanation:
Trinity is saving for a robot. She saves $222 in one year. How much did she save each month?
Answer:
$18.5
Step-by-step explanation:
222 ÷ 12 = 18.5
HELP PLEASEEE
20 POINTS FOR THIS ONE
Answer:its B
Step-by-step explanation:
the question is in the picture. please help
Answer:
50th term would be 317
Step-by-step explanation:
The "shortcut" would be 17+6x since you have a starting value of 17 and you add 6 to each term.
Can someone help with this
Answer:
Y=3x+3
Step-by-step explanation:
The y-intercept is the point o the y axis and the slope is rise over run and it has a positive slope
5/6 - 1/3 divided by 5/12
Answer:
1/30
Step-by-step explanation:
1-Intercambiamos los numeros de la ultima fraccion:
5/6 - 1/3 entre 5/12
2-intercambiamos posision, numeros y cambiamos el signo de resta a signo de multiplicacion:
1/3 x 12/5: 4/5
3-convertimos la operación en enteros (despues de aver hecho mas pasos)
25-24/30
4-restamos: 25 - 24=1
1/30
que espero te haya ser de mucha ayuda!!!
Someone please help me
the answer would be 4x10^4
happy to help
plz mark brainliest
pls need help to this question ASAP
Answer:
An infinite amount of solutions
Step-by-step explanation:
If you tell me whats in the drop boxes I will happily do that part as well. ( :
Answer:
Step-by-step explanation:i am not sure if understand the question, or wait what are the drop down options and maybe then i can help a little bit more.
slope of 1/2 that passes through the point (6,-4) in slope-intercept form
Answer:
y=1/2x-7
Step-by-step explanation:
slope intercept form: y=mx+b
mx= slope
b= y-intercept
y=1/2x+b
Now plug in 6 for x and -4 for y bc 6 is in the x-value and -4 is in the y-value.
-4=1/2(6)+b
-4=3+b
Subtract 3 from both sides
b=-7
y=1/2x-7
The equation of the line with a slope of 1/2 that passes through the point (6, -4) in slope-intercept form is y = 1/2x - 7.
To find the equation of a line with a slope of 1/2 that passes through the point (6, -4), we can use the point-slope form of a linear equation, which is:
y - y₁ = m(x - x₁)
Plugging in the values, we have:
y - (-4) = 1/2(x - 6)
y + 4 = 1/2(x - 6)
Now, let's convert the equation to slope-intercept form, which is in the form of y = mx + b, where m represents the slope and b represents the y-intercept.
Expanding and rearranging the equation:
y + 4 = 1/2x - 3
y = 1/2x - 7
Therefore, the equation of the line with a slope of 1/2 that passes through the point (6, -4) in slope-intercept form is y = 1/2x - 7.
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What are the x and y-intercept of the equation 6x-3y=18
Answer: The X intercept is 3 and the Y intercept is -6
helppp due in 21 mins
Answer:
Step-by-step explanation:
19. 12960
20. 6000
the green figure rotated 180 degrees about the origin
Answer: yes the green one rotate a 180 is correct
Step-by-step explanation: only you need see the question and you see if is correct
Gerald ran 240 yards. Which answer choices are equivalent to the distance he ran?
Select all that apply.
20 inches
2.880 inches
O 8, 640 inches
0 80 feet
720 feet
7 miles
Answer:
720 feet
Step-by-step explanation:
A yard is equivalent to 3 feet, so 1 yard = 3 feet.
240 yards * 3 = 720 feet
what is 9 to the power of -3
Answer: 1/729
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