Answer:
2a + 3b = 5
b = a - 5
Step-by-step explanation:
2a + 3b = 5
b = a - 5
You can write this another way:
2a + 3(a-5) = 5 ( I added the second formula in the first one )
Now you gotta factor out:
2a + 3a - 15 = 5
Here im gonna do plus 15
2a + 3a = 20 ==> 5a = 20
Now if you divide by 5, you get: a = 4
Now you can fill in the second formula again
b = a - 5 (ill fill this in now)
b = 4 - 5 = -1
So, this makes:
a = 4 , b = -1
Answer:
a = -2
b = -7
Step-by-step explanation:
the best method to solving this system of equations would be substitution since you are given an expression that equals one of the variables you're solving for (which is b = a - 5)
to begin, plug in a - 5 for b in the equation 2a + 3b = 5.
2a + 3b = 5 ⇒ 2a + 3(a - 5) = 5
the next step is to distribute 3 to a - 5. start with distributing 3 to a, which is just multiplying 3 · a. after that, you're left with a minus sign and 5, so that sign gets attached to the 5 and makes it a -5. distribute 3 to -5, which is just multiplying 3 · -5.
2a + 3(a - 5) = 5 ⇒ 2a + 3a - 15 = 5
since you have two terms with the variable a on one side of the equation (2a and 3a), combine the two like terms.
2a + 3a - 15 = 5 ⇒ 5a - 15 = 5
add 15 to both sides of the equation. on the left side, -15 and 15 cancel each other out because -15 + 15 = 0, leaving you with only 5a. on the right side of the equation, you have 5 - 15, which equals -10.
now your equation is 5a = -10.
divide both sides of the equation by 5. on the left side of the equation, you have 5a/5, which equals 1a, or a. on the right side, you have -10/5, which equals -2.
therefore a = -2.
now plug in -2 for a in b = a - 5 in order to solve for b!
b = a - 5 ⇒ b = -2 - 5
subtract -2 - 5.
b = -2 - 5 ⇒ b = -7
therefore b = -7.
your solutions are a = -2 and b = -7 :) i hope this helps! have a great day <3
Can anyone help me with this problem # 9
Answer:
72 apples will be used and 4 will not
Answer:
She will use 72 apples and 4 apples will not be used.
Step-by-step explanation:
If she requires 9 apples for one pie... the she can make only 8 pies out of 76 apples.
hence she uses 72 apples...
Find the sum:
15.07 +22.8
a. 37.01
b. 37.1
c.37.87
d. 37.78
To get from home to his friend Clayton's house, Eric would have to walk 4 miles due north. To get from home to his friend Dale's house, Eric would have to walk 3 miles due east. What is the straight-line distance between Clayton's house and Dale's house?
PLEASE ANSWER!
Answer: 5 miles
Step-by-step explanation:
It's a triangle so if you use the pythagorean theorem your equations should look like this. Sqroot of 4^2+3^2 which equals 5. Hope this helps. :)
Given: - 4x/7 > 10. Choose the solution set. {x | x < - } {x | x > - } {x | x > - } {x | x < - }
Answer:
{x | x < - 35 / 2}
Step-by-step explanation:
-4x / 7 > 10
Multiply both sides by 7
-4x /7 * 7 > 10 * 7
-4x > 70
Divide both sides by - 4
-4x / - 4 > 70 / - 4
x < - 35 / 2 (inequality sign changes)
What is the greatest common factor (GCF) of 24 and 40?
8, 4, 24, or 16
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Factors of 24 and 40
24: 1, 2, 3, 4, 6, 8, 12, 24
40: 1, 2, 4, 5, 8, 10, 20, 40
8 comes as the GCF of both
A book sold 32,100 copies in its first month of release. Suppose this represents 9.3% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
Answer:
Your answer.
345161.29
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
Answer:
345,161
Step-by-step explanation:
It means that [tex]32,100=.093x[/tex]. Divide each side by .093, and you get 345,161, dropping the decimal, since you can't sell a fraction of a book.
-20 2 -6 -18 4 -4 put them from least to greatest
What is the volume of the rectangular prism below?
Answer:
V=140
Step-by-step explanation:
5*4=20
20*7=140
A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How tall is the building? Round to the nearest meter
Answer:
86.8 m long
Step-by-step explanation:
A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How tall is the building? Round to the nearest meter
We solve the above question using the Proportion formula:
Height of the pole/Shadow of the pole = Height of the building /Shadow of the building
Height of the pole = 2.5m
Shadow of the pole = 1.34 m
Height of the building = x
Shadow of the building = 46.5m
Hence:
2.5m/1.34m = x/46.5m
Cross Multiply
1.34m × x = 2.5m × 46.5m
x = 2.5m × 46.5m/1.34m
x = 86.753731343m
Approximately , The height of the building = 86.8 m
PLZ help me i need the answer asap 7th grade math
Answer:
43.98
Step-by-step explanation:
2(pi)(7)=43.98
2(pi)(r)
Garrett needs 3 3 gallons of fruit juice to make punch. He already has 56 5 6 gallon of grape juice and 23 2 3 gallon of orange juice. Drag amounts of juice that he can add to the juice he already has to make exactly 3 3 gallons. Juice Garrett has. Grape juice is labeled five-sixths gallon. Orange juice is labeled two-thirds gallon. CLEAR CHECK Orange juice labeled one-third gallon. Green juice is labeled one-sixth gallon. Juice Needed
Answer:
no por que ella no te ama lo siento
Need help ASAP with maybe problem!!!
Answer:
-3
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. So, in this equation, the b or y-intercept value is missing. The y-intercept is where the line crosses the y-axis. In this case, the line crosses over at the value of -3. Therefore, the missing value is -3.
which of the following is true about the expression
Choose the student who correctly wrote the algebraic expression for the following statement.
Martha made six times as many goals.
Answer:
hector
Step-by-step explanation:
Aida is adding
hector is multiplying
camila is dividing
juan is subtracting
6x=6timesx=6(x)
so hector is right
Answer:
Hector's work
Step-by-step explanation:
"Six times as many" means 6 x the number of goal!
Hope that helps!
CAN SOME ACTUALLY HELP ME PLEASE!!!!!!!!!!!!!!!!!!
Answer:
(1, No, No) (2, No, Yes) (3, 6x^2+10) (4, 2x^2-3) (5, x^2-x) (6, -2x^4+12x+3)
(7, 3x^3+15x^2+20) (8, 9x^3 + 4x^2+8x) (9, xy+2x+6y+5) Sorry didn't have an answer for 10. I hope they are all correct sorry for the wait.
Step-by-step explanation:
the questipn is: Given segment AB with endpoint (-2,-2) and (8,4), what is the coordinate of the midpoint?
Answer:
(3,1)
Step-by-step explanation:
If you plot both of the points on a graph you get another straight line.
When you connect the dots you get 3,1 as the midpoint of the two segments :))
3. What do you call a polynomial with 3 terms?
Answer:
it's called a trinomial
pls help me out lol. I’m desperate
Answer:
x=3
Step-by-step explanation:
[tex]\frac{x}{9} =\frac{8}{21+x}[/tex]
x²+21x-72=0
(x-3)(x+24)=0
x=3 or x=-24(rejected)
∴x=3
You have $10 saved. Each week you receive $5 more. Fill in the table to show how much you will have each week. You keep filling out the table to see how much you will have at the end of 6 weeks.
Answer:
90
Step-by-step explanation:
You have 10 dollars saved and each week you recieve 5,multiply 10 x 5 and then multiple 15x6 and there you go
find the value of -
[tex]( {x}^{2} - x)[/tex]
where, x = 5
Step-by-step explanation:
(x^2 -x)=(5^2-5)
=25-5 =20
Answer:
(x²-x)=(5²-5)
=(25-5)
=(20)ans..............
Find the missing side of the triangle. Round to the nearest tenth.
A) 5.5
C) 14.1
B) 12.7
D) 9.5
HELP!!!!!!!!!!!!!!!!!!!!!!! :)
Hey there!
The answers are as follows:
7.)
m∠1 = 85
m∠2 = 95
m∠3 = 85
m∠4 = 85
8.)
m∠1 = 60
m∠2 = 120
m∠3 = 60
m∠4 = 120
9.)
they all equal 90
10.) No. Parallel lines do not cross each other, but these, if extended, would cross. You could use a protractor by measuring corresponding angles, and if they aren't equal, they aren't parallel.
Have a terrifcly amazing day!
How can I know 20 digits of Π… ??
And not know the 10 digits of your phone number?
solve 2|x+8|-6<16
Please help thanks!
Answer: Inequality form : -19<x>3
interval notation:
(--19,3)
Step-by-step explanation:
20 points!! will mark Brainliest if correct!!
plz help I need this done today!!
Answer:
1. [tex]15m^7n^2[/tex]
2. [tex]-20m^3n^4[/tex]
3. [tex]10m^8n^3[/tex]
Full expression: [tex]15m^7n^2 - 20m^3n^4 + 10m^8n^3[/tex]
The ratio of the length to the width the official german flag is 5:3.Sanda is making 12 german flags for a cuiture show.Each flag she makes has a length of 20 centimeters . It takes her 4 hours to make all the flag. What is the width of each flag and the average amount of time it takes sandra to make each flag?
Answer: The width of each flag = 12 cm
The average amount of time it takes Sandra to make each flag = 20 minutes.
Step-by-step explanation:
Given: The ratio of the length to the width the official german flag is 5:3.
Let length = 5x, width = 3x
Length of each flag = 20 cm
i.e. [tex]5x=20\Rightarrow\ x=\dfrac{20}{5}=4\text{ cm}[/tex]
Then width of each flag = 3 x 4 = 12 cm
i.e. width of each flag = 12 cm
Total time to make 12 flags = 4 hours
Time taken to make 1 flag = [tex]\dfrac{4}{12}[/tex] hour
Time taken to make 1 flag = [tex]\dfrac{1}{3}[/tex] hour
1 hour = 60 minutes
Time taken to make 1 flag = [tex]\dfrac{1}{3}\times60[/tex] minutes = 20 minutes.
Hence, the average amount of time it takes Sandra to make each flag = 20 minutes.
como simplificar 9/3
Select all the statements that are true about rhombuses. Group of answer choices
Opposite angles are congruent.
Diagonals are congruent.
Diagonals bisect each angle.
Diagonals are perpendicular.
Opposite sides are parallel.
Step-by-step explanation:
By method of elimination;
- Opposite angles are congruent
Congruent means Equal
This is correct.
- Diagonals are congruent
This is incorrect.
- Diagonals bisect each angle.
This is correct.
- Diagonals are perpendicular.
This is correct.
- Opposite sides are parallel.
This is correct.
Answer:
- Opposite angles are congruent
- Diagonals bisect each angle.
- Diagonals are perpendicular.
- Opposite sides are parallel
HELPP PLEASE ASAP I REALLY NEED HELP
attachment below
Jessica and her friends have gone to dinner. When they finished eating their bill came to $82. Jessica decided that she wanted to give a 19% tip
Answer:
97.58
Step-by-step explanation:
Answer: D $15
Step-by-step explanation:
