Answer:
13
Step-by-step explanation:
1. Collect like-terms
-23=-a-10
2.Isolate variable
-13=-a
a=13
Answer:
A=13
Step-by-step explanation:
-23=-2a-10+a
add 10 to -23 which is now
-13=-2a+a
now add -2a and a together to get -1a
-13=-1a
divide -1 into both sides to get
13=a
Johnny was able to drive an average of 27 miles per hour faster in his car after the traffic
cleared. He drove 25 miles in traffic before it cleared and then drove another 104 miles. If the
total trip took 3 hours, then what was his average speed in traffic?
Answer: 40 mph
Step-by-step explanation: let s = speed in traffic
(s+17) = out of traffic
:
Write a time equation; time = dist/speed
traffic time + normal speed time = 4 hrs
46%2Fs + 80%2F%28%28s%2B17%29%29 = 4
multiply by s(s+17) to cancel the denominators
46(s+17) + 80s = 4s(s+17)
46s + 782 + 80s = 4s^2 + 68s
126s + 782 = 4s^2 + 68s
Arrange as a quadratic equation on the right
2s^2 - 29s - 391 = 0
Use the quadratic formula a=2; b=-29; c=-391
I got a positive solution of
s = 23 mph in traffic
:
:
:
Check this by finding the actual times. Normal speed: 23 + 17 = 40 mph
46/23 = 2 hrs in traffic
80/40 = 2 hrs at normal speed
----------------------------
total time 4 hrs
0 = 4s^2 + 68s - 126s - 782
4s^2 - 58s - 782 = 0
simplify, divide by 2
so the answer is 40mph
What is this?
5 + 10
Answer: 15
Step-by-step explanation:
types of quadratic equation
Answer:
1) Standard form: y = ax2 + bx + c where the a,b, and c are just numbers.
2) Factored form: y = (ax + c)(bx + d) again the a,b,c, and d are just numbers.
3) Vertex form: y = a(x + b)2 + c again the a, b, and c are just numbers.
HELP ME PLEASE!!!!!!!!
Answer:
sure with what
Step-by-step explanation:
ny
10 Instructor-created question
10
For the functions f(x)= - 6x +9 and g(x) = 7x + 9 find the following.
09
(a) (fog)x)
Ur (b) (g of)(x)
nalty 25 (a) (fog)(x)=(Simplify your answer.)
tions: 10
(b) (gof)(x)=(Simplify your answer.)
I’m very sorry but I don’t understand
Step-by-step explanation:
Set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Assume the interest rates are annual. Latoya borrowed $19,500 to buy a truck for her business. She borrowed from her parents who charge her 5% simple interest. She borrowed from a credit union that charges 4% simple interest, and she borrowed from a bank that charges 3% simple interest. She borrowed four times as much from her parents as from the bank, and the amount of interest she paid at the end of 1 yr was $870. How much did she borrow from each source
Answer:
p = $12,000
c = $4,500
b = $3,000
Step-by-step explanation:
Denote the variables as follows:
p = amount borrowed from parents
c = amount borrowed from the credit union
b = amount borrowed from the bank
The equations that can be formed using the given information are as follows:
p + c + b = 19500... (i)
p = 4b... (ii)
The formula to compute simple interest is:
SI = P × (R/100) × T
So, the equation for the total interest paid at the end of 1 year is:
0.05p + 0.04c + 0.03b = 870
5p + 4c + 3b = 87000... (iii)
Substitute (ii) in (i) and (iii) and simplify as follows:
4b + c + b = 19500
⇒ c + 5b = 19500... (iv)
5(4b) + 4c + 3b = 87000
⇒ 4c + 23b = 87000... (v)
Subtract (iv) from (v):
4c + 23b = 87000
(-)c + (-)5b = (-)19500 ] × 4
⇒
4c + 23b = 87000
-4c - 20b = -78000
⇒
3b = 9000
b = 3000
Compute the value of p as follows:
p = 4b = 4 × 3000 = 12000
p = 12000
Compute the value of c as follows:
p + c + b = 19500
12000 + c + 3000 = 19500
c + 15000 = 19500
c = 4500
Thus, the amount borrowed from each source is:
p = $12,000
c = $4,500
b = $3,000
What are the solutions to lx + 2) = -13?
A. X=15 and 11
B. X=-15 and 11
C. X=-11 and 15
D. No solution
Answer:
B
Step-by-step explanation:
Because -15 + 2 = -13
y = 3/5х + 2 on a graph
Answer:
Go to desmos graphing calculator and put your equation in and it will graph it for you I used it for my math questions like this
Step-by-step explanation:
HOPE THAT HELPS YOU
Which number produces an irrational number when added to 0.4?
If correct will award!
Answer: C. 3π
Step-by-step explanation:
Since pi is irrational, (even multiples of pi) if π is added to any number, the sum is irrational.
The other choices are not irrational numbers.
√9 is 3 0.4444 repeating is the decimal equivalent of 4/9
2/7 is a fraction, and by definition all fractions with integers in the numerator and denominator [except 0] are rational numbers.
write 9 and 23 as powers of 3
Answer:
9=3 to the power 2
23 -/
required answer
The Fisher pool has 240 gallons of water and drains 10 gallons every hour. The Howard pool is 360 gallons and drains 40 gallons every hour. At what time will the two pools be the same number of gallons
Answer:
en cuanto la suma de respuesta
Step-by-step explanation:
Que vez de gallinas de =650
Evaluate..................
Answer:
Step-by-step explanation:
Is line e perpendicular to line g?
Answer:
Yes.
Step-by-step explanation:
Always.
PLEASE HELP I DONT WANT TO FAIL
The IQ of 10 adults is measured, and the results are 83, 87, 90, 92, 93, 100, 104, 111, 115, 121. Find the range of the data set. (4 points)
A: 83−121
B: 38
C: 96.5
D: 204
Answer:
B
Step-by-step explanation:
range = biggest - smallest
121 - 83 = 38
range = 38
the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.
To find the range of the data set, we need to determine the difference between the highest and lowest values in the set. Given the IQ scores of the 10 adults as 83, 87, 90, 92, 93, 100, 104, 111, 115, and 121, the highest value is 121, and the lowest value is 83.
Thus, the range can be calculated as 121 - 83, which equals 38. Therefore, the correct answer is B: 38, representing the difference between the highest and lowest values in the data set, and it correctly reflects the range of the given IQ scores.
Learn more about range here
https://brainly.com/question/28677902
#SPJ2
Nina's garden is 4 1/5 meters long and 3/qo meters wide. What is the area of Nina's garden?
Answer: 63/50 meters^2 or in mixed number 1 13/50 meters^2
Step-by-step explanation:
area= length x width
length = 4 1/5= 21/5 . multiply the whole number with the denominator 4x5= 20 add 20 with the numerator 20+1=22
width = 3/10
21/5 x 3/10 ( multiply the denominators together)
21x3 / 5x10
= 63/50 meters^2 or in a mixed number 1 13/50 meters^2
(by the way I'm guessing you meant 3/10 and not 3/q0)
I am thinking of a number x. What algebraic expression represents “eight less than three times this number”?
Answer:
3x - 8
Step-by-step explanation:
We represent the number as x.
We can write it as x - 8 (eight less than this number)
Then we can add 3x - 8 (We add the three times part)
I really need help on this!!
I am a multiple of 6. I am also a multiple of 4. I am less than 30.
Who am I?
Answer:
12 and 24
Step-by-step explanation:
First, we need to list out the common multiples of 4 nd 6, less than 30
[tex]4 = 0.4,8,12,16,20,24,28[/tex]
[tex]6 = 0.6,12,18,24[/tex]
Then, we list out the common multiples
[tex]Common\ Multiple = 12,24[/tex]
Since, only 12 and 24 fall in this category.
Then the number is either 12 or farm
saloman was told the written paper on his science experiment should express measurements in liters. Which shows how to calculate the number of liters if he used 5 cups of water
Answer:
Step-by-step explanation:
Divide 5 by 4.22
Just took the test and this is the right answer
Answer: multiply 5 by 4.22
Step-by-step explanation:
Find the surface area of a rectangle and square units
Answer:
considering you didn't put anything to solve, I can't, but I will explain how
Step-by-step explanation:
basically, you multiple length x width. Considering you said surface area, which is normally used for prisms, you would find the are of the different rectangles and then add them all together if you were to do a rectangular prism.
need help ASAP!!!!!!
The first three terms of an arithmetic sequence are as follows.
- 11, - 16, - 21
Find the next term in the sequence.
Answer:
-26
Step-by-step explanation:
What number is the opposite from 6.8
A. -6.8
B. 8.6
C. 68
D. -8.6
The answer is A. -6.8
Nate’s mom bought 4 boxes of crackers for $2.59 each. About how much
did she pay for the crackers?
Answer:
$10.36
Step-by-step explanation:
To answer this question, all you have to do is multiply:
4 * 2.59 = 10.36
So, Nate's mom spent $10.36 on crackers.
Hope this helps :)
Answer:
Nate's mom spent $10.36 on crackers.
Step-by-step explanation:
Solve the following equation for A. Be sure to take into account whether a letter is capitalized or not. b=f^2A+2HA
Answer:
A = [tex]\frac{b}{f^2+2H}[/tex]
Step-by-step explanation:
Given equation is,
b = f²A + 2HA
To solve this equation for the value of A we will isolate A in one side of the equation.
b = A(f² + 2H)
By dividing the equation by (f² + 2H) on both the sides of the equation.
[tex]\frac{b}{f^2+2H}=\frac{A(f^2+2H}{(f^2+2H)}[/tex]
A = [tex]\frac{b}{f^2+2H}[/tex]
Therefore, answer will be A = [tex]\frac{b}{f^2+2H}[/tex]
PLEASE IN DIRE NEED OF HELP I WILL GIVE BRAINLIEST
The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.
Answer:
L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
W=6 ANS. FOR THE WIDTH.
L=6+12=18 ANS. FOR THE LENGTH.
PROOF:
2*18+2*6=48
36+12=48
48=48
Answer:
6 cm by 18 cm
Step-by-step explanation:
use x and x+12
2(x) + 2(x+12)=48
2x +2x+24=48
4x+24=48
4x=24
x=6 and (6+12)=18
:)
Prime numbers have...
Less than two factors
More than two factors
Exactly two factors
Less than or equal to two factors
Answer:
(Exactly two factors)
Answer:(C) Exactly two factors
Step-by-step explanation:(C) Exactly two factors
Which of the following shows 2.736 correctly rounded to the tenths place?
Answer:
2.7 is the correct answer
Step-by-step explanation:
Answer:
2.7
Step-by-step explanation:
-3(p+2)=-30 solve for p
Answer:
p=8
Step-by-step explanation:
-3p-6=-30
-3p=-24
p=8
is 5,690 divisible by 10
Answer yes 569
............................................
Which statement describes -1?
Answer:
-1 is part of integer numbers
Step-by-step explanation:
Because its a whole number and it has an additive inverse (which is +/-).
