Answer:
[tex]a:b = -17:1[/tex]
Step-by-step explanation:
Given
[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]
Required
Find a:b
[tex]\frac{a-3b}{a+2b} = \frac{4}{3}[/tex]
Cross Multiply
[tex]3(a-3b) = 4(a+2b)[/tex]
Open brackets
[tex]3a - 9b = 4a + 8b[/tex]
Collect Like Terms
[tex]3a - 4a = 8b+9b[/tex]
[tex]-a = 17b[/tex]
Divide through by -b
[tex]\frac{-a}{-b} = \frac{17b}{-b}[/tex]
[tex]\frac{a}{b} = \frac{17}{-1}[/tex]
[tex]\frac{a}{b} = \frac{-17}{1}[/tex]
Represent as a ratio
[tex]a:b = -17:1[/tex]
Which of the following linear functions have a rate of change that is greater than 14? Select all that apply. Fahim received a signing bonus of $1000 and then made $10 per hour. x y –2 15 0 30 2 45 x y –3 58 1 –6 2 –22 Annie painted 2 houses in 16 hours. Jay drove 64 miles in 4 hours. x y 3 –20 2 –40 0 –80
Answer:Jay drove 64 miles in 4 hours.
Step-by-step explanation:
I just know this is the answer I just got this right!!!!!
A baker regularly uses flour to make pastries for the bakery at the beginning of the month of the Baker has a 25 pound bag of flour. Each week she uses 5 3/5 pounds of flour write an expression to represent the change in weight of the bag of flour over four weeks
Answer:
At the beginning, she has 25lb of flour.
Each week, she ses (5 + 3/5) pounds of flour.
Then after the first week, she has a total of:
W(1) = 25lb - (5 + 3/5)lb
After another week, she has:
W(2) = 25lb - (5 + 3/5)lb - (5 + 3/5)lb = 25lb - 2*(5 + 3/5)lb
and so on.
if x represents the number of weeks, the equation is:
W(x) = 25lb - x*(5 + 3/5)lb
where x can be {0, 1, 2, 3, 4}
That is the equation that represents the change in the weight for the first four weeks.
(0,2) times one half
Answer:
1
Step-by-step explanation:
2+0=2 so 2 times 1/2 is 1
Question 2 Fill in the blanks to complete the sentence. A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice. a. How much sparkling water would you need to mix with 9 quarts of grape juice? 12 quarts b. How much grape juice would you need to mix with 154 quarts of sparkling water? Use decimal notation. 6 quarts c. How much of each ingredient would you need to make 100 quarts of punch? Round your answer to the nearest whole quart. sparkling water: quarts grape juice: quarts
Answer:
a) 18 quarts of sparkling water
b) 1.875 quarts of grape
Step-by-step explanation:
Question 2 Fill in the blanks to complete the sentence.
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
a. How much sparkling water would you need to mix with 9 quarts of grape juice?
3/4 quarts of grape = 1 1/2 quarts sparkling water
9 quarts of grape = x
x = (9 × 1 1/2) ÷ 3/4
x = (9 × 3/2) × 4/3
x = 27/2 × 4/3
x = 18 quarts of sparking water
b. How much grape juice would you need to mix with 15/4 quarts of sparkling water?
1 1/2 quarts of sparkling water = 3/4 quarts of grape
1 5/4 quarts of sparkling water = x
x = (3/4 × 15/4 ) ÷ 1 1/2
x = (0.75 × 3.75 ) ÷ 1.5
x = 1.875 quarts of grape
c. How much of each ingredient would you need to make 100 quarts of punch?
Round your answer to the nearest whole quart. sparkling water: quarts grape juice: quarts
1. I like buying minutes of music to download on my MP3 player. The music company
charges a monthly charge of $4.35 per month and charges $.15 per song. How many
songs can I download a month if I only wish to spend $25.00?
Bethany travels 200 miles in 2.5 hours. If Bethany travels at the same rate,
how far can she travel in 5 hours?
Answer:
400 miles
Step-by-step explanation:
5 hours is double 2.5 hours so double 200 to get 400
What is the value of x in simplest radical form?
Answer:
x= 29
Step-by-step explanation:
[tex]x^2=20^2+21^2\\\\x^2=400+441\\\\x^2=841\\\\x^2=29^2\\\\x=29[/tex]
A map of two cities is plotted on a coordinate grid one city is centered at -60,40 while the other is at 40,20 a rest station lies at the midpoint of a straight road joining the centers of each city what is the location of the rest station
Answer: -10,30
Step-by-step explanation: I drew the graph, and it lined with 30 and interCepted -10
Anna bought a new computer for $859 using a
24-month loan with a 18.99% interest rate. How
much will she have paid in total at the end of
the loan?
Answer:
4773,97
Step-by-step explanation:
[(18,99*859)/100]*24+859=4773,97
Which equation represents the horizontal line passing through (5, 3)?
Step-by-step explanation:
General equation for horizontal line: y = a
Since the point (5, 3) has y-value 3,
the equation of the horizontal line is y = 3.
Use the Distributive Property to solve the equation.
2
(9a + 6) = 23.8
3
Answer:
Q: 2(9a+6)
A: 18a+12
hope this helps!!:)
Step-by-step explanation:
Answer:
18a+12
Step-by-step explanation:
Good morning can y’all help me
Answer:
The answer is (A.)
Step-by-step explanation:
4 x 9 = 36
6 x 9 = 54
8 x 9 = 72
11. A large container has a maximum capacity of 64 ounces. The container
is filled with 8 ounces less than its maximum capacity.
PART A
PART B
To what percent of its capacity is the large
Some liquid will be poured from a full
container filled?
16-ounce container until it is filled to the
same percent of its capacity as the large
container in Part A. How many ounces
of liquid must be poured from the full
16-ounce container? Explain.
Answer:
Step-by-step explanation:
Bbbbbbb is right
1 2
What is the value of x in the equation 3 X-
nšx-3--187
-56
-52
52
56
Answer:yum be
Step-by-step explanation:
Describe the steps you would use to factor
2x3 + 5x2 - 8x – 20 completely. Then state the
factored form.
DONE
Which important information did you include in your description? Check all of the boxes that apply
If someone were to procrastinate their summative assignment until Sunday, 1/24/21, how much time would it take for them to complete the assignment?
just looking for an answer to my problem :)
The number 19/7 ( a rational or an irrational )
number.
plz answer
Answer:
rational
Step-by-step explanation:
Answer:
Rational number
Step-by-step explanation:
The definition of a rational number is "A number such as -3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q." The definition of an irrational number is "All the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers." This means 19/7, and all improper fractions, are rational numbers.
what is the slope of this line that passes through the points (4,-17) and (-20,-1)
Answer:
-2/3
Step-by-step explanation:
slope formula:
[tex]\frac{y_{2}-yx_{1} }{x_{2}-x_{1} }[/tex]
help please!
A -1.8
B -1.6
C -1.5
D -1.3
Answer:
B) -1.6
Step-by-step explanation:
As you can see there is a pattern of 5 dashes, meaning that each dash would increase by 0.2
So, the dash behind the -1 equals to -1.2. The one two dashes behind the -1 would be -1.4. Sequentially, the dash E would be -1.6.
Am I correct?
I will give brainliest to whoever can answer this question. It’s due in 40 min Please help me )):
Given:
[tex]m\angle L=m\angle Z=70^\circ[/tex]
[tex]m\angle N=m\angle Y=90^\circ[/tex]
To find:
The value of [tex]m\angle 1[/tex].
Solution:
In triangle XYZ,
[tex]m\angle Y=m\angle N=90^\circ[/tex] (Given)
[tex]m\angle Z=m\angle L=70^\circ[/tex] (Given)
[tex]m\angle X+m\angle Y+m\angle Z=180^\circ[/tex] [Angle sum property]
[tex]m\angle 1+90^\circ+70^\circ=180^\circ[/tex]
[tex]m\angle 1+160^\circ=180^\circ[/tex]
[tex]m\angle 1=180^\circ-160^\circ[/tex]
[tex]m\angle 1=20^\circ[/tex]
Therefore, the [tex]m\angle 1[/tex] is 20°.
Please help me with this question!!
Answer: Answer: CB = 7. AC = 5.
Step-by-step explanation:
Well we know that A-B is 7. And this is a right triangle, so the CB will be the same length. So CB = 7.
Now AC.
You divide 45 degrees by 7. And you get five.
So AC = 5 and CB = 7.
Please help this is due in 5 minutes
Answer:
i dont really see where the indivusal x is?
Step-by-step explanation:
Answer:
looks really hard
Step-by-step explanation:
sorry i couldnt help
Which function represents the inverse of function f?
Here you are multiplying by 3 then adding 5. When doing the inverse, you would do the opposite.
Start with x. then subtract by 5. Itvwould be x-5.
Then divide by 3. So it would be (x-5)/3 which is 1/3x-5/3 which is D
Kathryn spent $12 on a magazine and some notepads. If the magazine cost $2 and each notepad cost $5, then how many notepads did she buy?
Find the equation of the line with the points (-2, 3) and (4,-8)
Answer:
-3/2
Step-by-step explanation:
By using
Y2+y1/2 + x2+x1/2Solve: 4x - 8 > 32
A) X <10
B)x > -10
C) X > 10
D) X < -10
Answer:
C) x > 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
4x - 8 > 32
Step 2: Solve for x
Add 8 on both sides: 4x > 40Divide 4 on both sides: x > 10Here we see that any value x greater than 10 would work as a solution to the inequality.
Order from least to greatest −1/2, -1.5, -3/5, -0.3, 0, 0.8, 0.25, 1/3, 3/4, 2 3/4
Answer:
-1.5, -3/5, -1/2, -0.3, 0, .25, 1/3, 3/4, .8, 2 3/4
What is the value of x0?
Answer:
The answer is 0.
Step-by-step explanation:
If you multiply any number by 0, you get 0.
kim practices soccer each day. she made a chart of the number of shots she made and the goals she scored. find the equation that shows the relationship between s and g
Answer:4x
Step-by-step explanation:
Does anyone know the answer