Given that
(2a+b,11) and (1,a-3b) are equal ordered pair
⇛(2a+b,11) = (1,a-3b)
On comparing both sides then
2a+b = 1 ----------Eqn(1)
11 = a-3b
⇛ a-3b = 11 ------Eqn(2)
⇛ a = 11+3b-------Eqn(3)
On substituting the value of a in Eqn(1) then
⇛ 2(11+3b) + b = 1
⇛(2×11)+(2×3b) + b = 1
⇛ 22 +6b+b = 1
⇛ 22+7b = 1
⇛ 7b = 1-22
⇛ 7b = -21
⇛ b = -21/7
⇛ b = -3
On substituting the value of b in Eqn(3) then
⇛ a = 11+3(-3)
⇛ a = 11-9
a = 2
Therefore, a = -3 and b = 2
Answer:-The value of (a,b) for the given problem is (-3,2).
A student is told to work any 8 out of 10 questions on an exam. In how many different ways can he complete the exam
Answer:
Step-by-step explanation:
Assuming the order in which he answers the questions matter the answer is the number of permutations of 8 in 10.
This is 10! / (10-8)!
= 1,814.400.
If the order does not matter then the answer is the number of combinations of 8 from 10:
This is 10!/8!*2!
= 45.
Which expression is equal to “seven more than a number multiplied by 9"?
a. 9(x + 7)
b. 7 + 9x
c. 9x - 7
d. 9 + 7x
Answer:
b
Step-by-step explanation:
a: is not because in the distribution property, the answer would be for a, 9x+63.
b: yes.
c: it's subtracting, not adding. The question states adding
d: 7 is not the one being multiplied in the question, 9 is. Therefore b is right
The explaining is not good but im pretty sure it's b..
write 164/100 as a mixed number in simplest form.
Answer:
1 16/25
Step-by-step explanation:
I just recently learned this kind of stuff!
Answer:
1 16/25
Step-by-step explanation:
164-100=64
Common factors of 64 and 100:
1, 2, 4
Greatest common factor: 4
64/4=16
100/4=25
16/25
1 16/25
can someone help me pls?
three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and baxter has 1.5 yards of ribbon. express the total length of ribbon the three friends have in inches, feet, and yard.
____ inches = ____ feet = ____ yards
Answer:
126 inches = 10.5 feet = 3.5 yards
Step-by-step explanation:
42 in = 3.5 ft = 1.1667 yds
2.5 ft = 30 in = 0.8333 yds
1.5 yds = 54 in = 4.5 ft
42+30+54= 126 in
3.5+2.5+4.5= 10.5 ft
1.5+0.8333+1.1667= 3.5 yds
10.5/3= 3.5 yds
help me please hhhhhjjkk
Answer:
x=11
Step-by-step explanation:
This is an exterior angle theorem question.
To answer this question, you must know what the exterior angle theorem is:
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)
So first, you need to add the two opposite interior angles.
3x+8+2x+9 is equal to 5x+17.
Then, you make an equation setting 5x+17 equal to the exterior angle.
5x+17 = 8x-16.
To solve this equation, first add 16 on both sides
→5x+33 = 8x
Then, subtract 5x on both sides
→ 33 = 3x
Finally, divide both sides by 3 to get x=11
Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, 2 1/7 divided by 1 2/5 =?
Answer:
1 26/49
Step-by-step explanation=
2 1/7 ÷ 1 2/5
15/7 over 1 2/5
15/7 over 7/5
75/49
= 1 26/49
3.
Billy and Karen are playing a billy and Karen are playing a game. They toss a coin that can land either heads or tails and a
spinner that can land on any of 8 equal regions. If a coin is tossed and the spinner is spun,
howmany possible outcomes are there?
The number of possible outcomes for both Billy and Karen = 32 possible outcomes.
A coin has head and tail and thus;
Number of possible outcomes of a coin toss = 2
Now, for the for the spinner, since there are 8 equal regions;
The number of possible outcomes of the spinner = 8
Now, since they are playing a game;
Number of possible outcomes for Billy for one toss of coin and one time of spinning the spinner = 8 × 2 = 16
Similarly;
Number of possible outcomes for Karen for one toss of coin and one time of spinning the spinner = 8 × 2 = 16
Therefore;
Total possible outcomes for both Karen and Billy = 16 + 16 = 32 possible outcomes.
Read more about probability at; https://brainly.com/question/21186493
6(x 2) 3(x 3) help me help me help me help me help me HELP MEEEEE PLZ its from usatestprep
Answer:
i dont now
Step-by-step explanation:
Which expression shows the result of applying the distributive property to 3 (1/5x - 1/7)
A. -3/5x + 3/7
B. 3/5x - 3/7
C. -3/5x - 3/7
D. 3/5x + 3/7
Hi,
3(1/5x - 1/7)
= 3/5x - 3/7
B
✅(◠‿◕)
Select the expressions that are equivalent to 7•7•7•7•7•7. I HAVE TO ANSWER 2 MORE ANSWERS
Answer:
49 * 7'4
Step-by-step explanation:
Problema: Juan quiere repartir sus calidez entre sus hermanos pequeños. Dice que dará la
mitad en Anna y tres sextas partes en Ignacio. Anna está enfadada porque dice que
Ignacio tendrá más, ¿es cierto?
Answer:
no .,..false
Step-by-step explanation:
NO NEED FOR LINKS NEED THE ANSWER RIGHT NOW
Answer:
a. y= 16+ 7x
b. y=19+9x
c. y= 10+5x
Step-by-step explanation:
a.) adds 7 each time
b.) adds 9 eah time
c.) adds 5 each time
Answer:
hope it helps you......
3-8(1+8x)=-133
Solve for x
Answer:
x=2
Step-by-step explanation:
Expanding, we have 3 - 8-64x=-133.
Combining like terms, we have -5 - 64x=-133
Adding 5 to both sides, we have -64x= -128
Dividing by -64, we have x = 2
The picture can be represented by the equation 40 divided by 8 equals 5.
Answer:
what is to do here
[tex] \sqrt[8]{40} = 4 \\ 5[/tex]
the answer like this up will be 5 what grade questionUse the given information to prove that CA = CB.
20 POINTS!!
The question and image??
If 9 : x = x:4, then x = _____. 36 18 24 6
Solution: 9:x = x:4
⇛9/x = x/4
By doing cross multiplication, we get
⇛9(4) = x(x)
⇛36 = x²
⇛x² = 36
⇛x = √(36)
⇛x = √(6*6)
∴ x = 6 Ans.
also read similar questions: Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-... https://brainly.com/question/6702722?referrer
If 9 : x = x:4, then x = 6
Help pls , I’m lost
P(A ∪ B) = 0.8, P(B) = 0.5, P(A ∩ B) = 0.3. Find P(A). P(A) =
Answer:
The answer is 0.6
Step-by-step explanation:
I find it helpful to setup a Venn Diagram when dealing with these. This chart is pretty useful when dealing with set notation.
Then, you can set this up as a system of equations. So, based on your problem, we can setup the system like this:
x + y + z = 0.8
y + z = 0.5
y = 0.3
If you solve this, you will get:
x = 0.3
y = 0.3
z = 0.2.
To get P(A), you x and y to get x + y = 0.6
What is 18x77 with algorithm
Answer:
1386
Step-by-step explanation:
First multiply 8 and 77 to get 616
Then multiply 10 and 77 to get 770
Finally, add them all together to get 1386
Answer:
the answer is 1,386. ......What is 7823× 10 to the 3 power?
Answer:
7823000
Step-by-step explanation:
Answer:
0 is the answer
7893 x 10 equal to 789300
someone please just help me i'm almost done with my math for today!
marking brailist
Maybe Audrey waited 6 pounds 14 in ounces at birth convert her weight to ounces
Answer:
110 ounces :))
Step-by-step explanation:
factor and solve the zeros for the following x^2+10x-75=0
Gemma and Leah are both jewelry makers, Gemma made 106 beaded necklaces. Leah
made 39 more necklaces than Gemma.
Each necklace they make has exactly 104 beads on it. How many beads did both
Jewelers use altogether while making their necklaces? How many necklaces did Gemma and Leah each make
Answer:
Gemma made $34 more than Leah.
Step-by-step explanation:
Gemma made number of beaded necklaces = 106
Leah made 39 more necklaces than Gemma.
Leah made number of beaded necklaces = 106 + 39 = 145
a. There are 104 beads on each necklace.
The total number of beads used altogether
= (106 × 104) + (145 × 104)
= 11,024 + 15,080
= 26,104
b. Gemma sold her 106 necklaces for = $14
Total price of her necklaces = 106 × 14
= $1,484
Leah sold her 145 necklaces for = $10
Total price of her necklaces = 145 × 10
= $1,450
Difference in Gemma and Leah's amount = 1484 - 1450 = $34.00
Therefore, Gemma made $34.00 more money than Leah.
Which of the following numbers is proportional to 84/108?
1. 86/110
2.98/126
3.64/72
4.91/104
Proportional numbers are numbers with the same equivalent ratio
98/126 is proportional to 84/108
The number is given as:
[tex]Number = \frac{84}{108}[/tex]
Reduce fraction to the lowest term
[tex]Number = \frac{7}{9}[/tex]
Reduce 86/110 to the lowest term
[tex]Number = \frac{86}{110}[/tex]
Divide by 2/2
[tex]Number = \frac{43}{55}[/tex]
43/55 is not equivalent to 7/9
Reduce 98/126 to the lowest term
[tex]Number = \frac{98}{126}[/tex]
Divide by 14/14
[tex]Number = \frac{7}{9}[/tex]
7/9 is equivalent to 7/9.
Hence, 98/126 is proportional to 84/108
Read more about proportional numbers at:
https://brainly.com/question/1781657
(a) $21,000.00 is to be divided in the ratio 5:7:9 respectively for three siblings Antony, Terry
and Jack. Calculate how much money each sibling will get.
Answer:
See below for answer
Step-by-step explanation:
Set up the equation 5x+7x+9x=2100 and solve for x:
5x+7x+9x=2100
21x=2100
x=100
Now multiply the proportion by 100:
5:7:9 * 100 = 500:700:900
This means that Antony will get $500, Terry will get $700, and Jack will get $900.
Graph
-2(3x+4)(x-1)(x-3)^2
Answer:
Step-by-step explanation:
Find the unit price for a 9 oz bottle of ketchup for 88cents. round answers to the nearest tenth of a cent. ________ cents per ounce
Answer:
0.1 cents per ounce
Step-by-step explanation:
You know that you paid 88 cents for the whole bottle of ketchup and the whole body contains 9oz of ketchup. Every one ounce is equal to 9.8 cents. You simply need to divide the total amount of the item by the weight (9 ounces) to get 0.09 or 0.1 when rounded.
[tex]\frac{88 cents}{9oz}=0.1 cents per ounce[/tex]
Marian sells handmade aprons at a local co-op. The wholesale cost of the materials for one apron is $12.99. If she sells the aprons for $25.00, what is the percent of markup? Round to the nearest percent.
Answer:
92%
Step-by-step explanation:
dnc
Which is true? A 0.9919 > 0.999 B 1.4359 < 1.446 C 2.6953 = 2.75 D 4. 9395 > 5.0
Option B. is true.
A isn't true because 0.9919 is lesser than 0.999.C is false because 2.6953 is lesser than 2.75. They are not equal.D is also false because 4.9395 is not greater than 5.0.Answer:
B. 1.4359 < 1.446
Hope you could get an idea from here.
Doubt clarification - use comment section.