Given:
Number of blue marbles, twice as many red marbles as blue, and 8 yellow marbles.
She has a total of 32 marbles.
To find:
The number of red marbles.
Solution:
Let number of blue marbles be x.
Then, number of red marbles = 2x
Number of yellow marbles = 8
Total number of marbles = 32
[tex]x+2x+8=32[/tex]
[tex]3x=32-8[/tex]
[tex]3x=24[/tex]
[tex]x=8[/tex]
Now,
Number of red marbles [tex]=2(8)=16[/tex]
Therefore, there are 16 red marbles.
Find the value of x.
Answer:
x=95°
Step-by-step explanation:
Dana is making a seating chart for an awards banquet. There are 152 people coming to the banquet.
If 8 guests can be seated at each table, how many tables will be needed for seating for the awards
banquet?
tables will be needed.
Answer:
19
Step-by-step explanation:
152/8
Identify the constant of proportionality from the graph.
11
10
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10 11
O A. 3
B. 6
O D. 9
Answer:
D
Step-by-step explanation:
9 is the constant of proportionality
Have a great day
Julio pald 1.2 times his normal hourly rate for each hour he works over 30 hours a week Last week he worked 43 hours and earned $574.56
Answer:
482.70
Step-by-step explanation:
First, find out how much he earned per hour last week. 576.56 divided by 43 is 13.41.
Second, multiply his hourly earnings by 1.2, 1.2*13.41=16.09 So he earns 16.09 per hour
Lastly, multiply 16.09 by 30, 16.09*30=482.7 So he earns about $482.70 each week.
what is the solution to this problem? 2x+3(x-10)=45
Answer:
x= 15
Step-by-step explanation:
2x+3(x-10)=45
2x+3x-30=45
Combine like terms:
2x+3x-30 turns into 5x-30= 45
5x-30=45
+30 +30
5x = 75
x = 15
Answer:
x = 15
Step-by-step explanation:
2x+3(x-10)=45
2x+3x-30 =45
5x-30 =45
5x =45+30
5x =75
x =75/5
x =15
unit 1 test algebra 2
6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
We have,
6)
x² + 8x - 15 = 5x + 13
Rearranging the equation:
x² + 8x - 5x - 15 - 13 = 0
x² + 3x - 28 = 0
Now, factorize the quadratic equation:
(x + 7)(x - 4) = 0
Setting each factor equal to zero:
x + 7 = 0 or x - 4 = 0
Solving for x:
x = -7 or x = 4
7)
2x (x - 5) (x + 7) = 0
Setting each factor equal to zero:
2x = 0 or x - 5 = 0 or x + 7 = 0
Solving for x:
x = 0 or x = 5 or x = -7
8)
(x + 5) (x + 8 + 2x - 3)
Simplifying the expression inside the parentheses:
(x + 5) (3x + 5)
9)
x³ - 5x² + 2x + 13 = 5
Substitute each integer value from 0 to 10 into the equation and count the number of solutions.
Substituting each integer value,
x = 0,
x³ - 5x² + 2x + 13 = 5
0 - 0 + 0 + 13 = 5
13 = 5
Not true.
Similarly,
x = 2,
x³ - 5x² + 2x + 13 = 5
8 - 20 + 4 + 13 = 5
25 - 20 = 5
5 = 5
True.
x = 4,
x³ - 5x² + 2x + 13 = 5
64 - 80 + 8 + 13 = 5
85 - 80 = 5
5 = 5
True.
There are two integer solutions:
x = 2 and x = 4.
Therefore,
The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
this is pretty easy
two step equation!!
Answer:
Step 1: Simplify both sides of the equation.
z
3
−8=−4
1
3
z+−8=−4
1
3
z−8=−4
Step 2: Add 8 to both sides.
1
3
z−8+8=−4+8
1
3
z=4
Step 3: Multiply both sides by 3.
3*(
1
3
z)=(3)*(4)
z=12
Answer:
z=12
Step-by-step explanation:
tan y+cot y= sec y x csc y
prove the identity
(y is the variable)
Answer:
Step-by-step explanation:
tany+coty =
[tex]\frac{siny}{cosy} + \frac{cosy}{siny}[/tex]·
[tex]\frac{sin^{2}y + cos^{2}y }{cosysiny}[/tex]
[tex]\frac{1}{cosysiny}[/tex]
[tex](secy) (cscy)[/tex]
Can someone please help me with this proof?!
Given: AC and BD bis, each other.
Prove: ABCD is a parallelogram
Answer:
because AC and BD bis => AX = XC; BX = XD
ΔAXD ≅ ΔCXB (SAS) because: AX = CX
DX = BX
m∠AXD = m∠BXC ( 2 opposing angles)
because ΔAXD ≅ ΔCXB (SAS)
=> AD = BC and m∠DAX = m∠BCX
because m∠DAX = m∠BCX => AD//BC
ABCD has AD = BC and AD//BC => ABCD is a parallelogram
Step-by-step explanation:
I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it
Answer:
OOF
Step-by-step explanation:
Answer: i don't actually know, sorry but i need to get my points so i'm typing this.
Step-by-step explanation: none
8а +а – 3 = 6а – 2а - 3
Answer:
a=0
Step-by-step explanation:
Answer: a=0
Step-by-step explanation:
8a+a−3=6a−2a−3
Step 1: Simplify both sides of the equation.
8a+a−3=6a−2a−3
8a+a+−3=6a+−2a+−3
(8a+a)+(−3)=(6a+−2a)+(−3)(Combine Like Terms)
9a+−3=4a+−3
9a−3=4a−3
Step 2: Subtract 4a from both sides.
9a−3−4a=4a−3−4a
5a−3=−3
Step 3: Add 3 to both sides.
5a−3+3=−3+3
5a=0
Step 4: Divide both sides by 5.
5a /5= 0/5
Answer: a=0
(hope that was helpful )
THIS IS FOR 60PTS SO ANSWER Explain how you got your answer 4x-20+2x-12=10
Answer:
x = 0.333...(repeating or .34 if u round)
Step-by-step explanation:
add 4x and 2x= 6x
20- 12 = 8
6x + 8 = 10
-8 -8
6x = 2
6 6
x = 0.333...(repeating or .34 if u round)
Find the slope of the line that passes through (-3,4) and (-2,-8)
Answer:
-12
Step-by-step explanation:
The slope formula is y2-y1 divided by x2-x1
I plugged it in and got
-12
I hope this helps :>Which fraction is equal to the decimal 0.137?
Answer:
137/1000
Step-by-step explanation:
Answer:
137/1000 also 13.7 percent
Step-by-step explanation:
Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60÷5=12. Does Noah’s method always work? Explain why or why not.
Answer:
yes
Step-by-step explanation:
because if you divide what you said its will have a sum
0x + 8 = 5x - 3 What is X?
Answer:
x= 11/5 OR 2.2
Step-by-step explanation:
Answer: x= 2.2
Step-by-step explanation:
0x+8=5x-3
+3 +3
0x+11=5x
5 5 5
x=2.2
I really need the help?
Answer:
a=c because opposite vertices are always equal to one another
Step-by-step explanation:
Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag.
What is the probability that Tara will select a blue marble from each bag?
Answer:
The first bag, 1 in 3 and the second, 2 in 9.
Step-by-step explanation:
If there are 15 total marbles in the first bag, and 5 blue, there is a 5 in 15 chance, or 1 out of 3 chance she could pull a blue out of the first bag. The second bag, has 9 in total and 2 blue, so there is a 2 in 9 chance she could pull out a blue from the second bag. Hope this helps!
Answer:
2/27
Step-by-step explanation:2/27
Which are equivalent equations? Select two correct answers.
d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1
Answer:
B and D if not sorry
Step-by-step explanation:
Answer:
b and d
Step-by-step explanation:
. Consider the following standards.
MAFS.912.F-BF.1.1b: Combine standard function types using arithmetic operation. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. MAFS.912.F-BF.1.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Part A: Describe the difference in combining functions and composing functions.
Part B: Give a real-world example of combining functions.
Part C: Give a real-world example of composing functions.
Part A:
A combined function is defined by combining with existing functions using addition, subtraction, multiplication or division.
A composite function is created by plugging one function into another.
Part B:
The class is selling sweaters an. the cost of each sweater is 8 dollars. There is a fee to create the design. The class plans to sell the sweaters for 12 dollars.
Part C:
Amy works at a baked goods store. She receivers a weekly salary of 350 dollars and is payed 3 percent commission on weekly sales over 1,500 dollars.
oof that took a while lol
[{(-72)÷(-2)}2-(-7)]x(-10)
Answer:
-790
Step-by-step explanation:
Answer:
-5040
Step-by-step explanation:
Start inside out.
1) -72/-2=36 now this is still inside the braces so you have to multiply times 2
2)36*2= 72 and now remember that negative times negative is positive
3)72*7=504
multiplies times -10= -5040
You can also think about this another way
(-72/-2)(2) the two's go away and you stay with -72/-1, wich is equal to 72 and then multiply that by 7 and them times -10.
I need help with this question ASAP
3 - (2x - 5) < -4 (x+2) can someone please help me get the answer i dont know how to get it
Answer:
x < -8
Step-by-step explanation:
3 - (2x - 5) < -4 (x+2)
distribute
3 - 2x + 5 < -4x - 8
add the numbers
8 - 2x < -4x - 8
move the x
2x < -16
divide
x < -8
which
among the following is a quadratic equation?
A. (x + 1 )² = x² – 1
B. (x + 1 ) (x – 2 ) = x – 3
C. x (x + 1 )²= 0
D. 2x² = 2 ( x – 1)²
with explanation pls...
Dissolution of 2Y +9 equals four is
Answer:
11
Step-by-step explanation:
The answer choices are
A) <3 and <10
B) <2 and < 10
C) <3 and <7
D) <2 and <8
please help me thanks .
Answer:
3 and 3/4
Step-by-step explanation:
Answer:
121.5 :) hope this helped
13. Jonas is riding his bicycle at 18 kilometers per hour, and he has already ridden for 40 kilometers. (6, 148)
Answer:
Step-by-step explanation:
40 / 18
= 2.22 hours
Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!
Answer:
add 2 zeros at the end of all of them
Step-by-step explanation:
1
Which of the following represents a
fraction that converts to a repeating
decimal with a value less than one?
A) 1/2
B) 4/3
C) 9/10
D) 479
Answer:
479
Step-by-step explanation:
