Solve for X ( 9th grade Algebra 1)
Answer:
x = 2
Step-by-step explanation:
(x+16)/3 = 3x
=> x+16 = 3x × 3
=> x+16 = 9x
=> 16 = 9x - x
=> 16 = 8x
=> 16/8 = x
=> 2 = x
what is the vertex and where is the x-intercept(s)?
Answer:
Vertex (-2,-9)
x-intercepts -5 and 1
y-intercept -5
Step-by-step explanation:
If grapes are 92% water and raisins are 20% water by weight, then how much did a quantity of raisins, which currently weighs 10 pounds, weigh when all the raisins were grapes
10 lbs of raisins contains 20% water by weight, so they contain
0.20 × (10 lbs) = 2 lbs
of water. This means the non-water portion of the raisins weighs 8 lbs. This weight stays the same throughout the drying process.
As grapes, they had a total weight of
8 lbs + w
where w is the water weight, and w happens to be 92% of this total weight. So
w = 0.92 × (8 + w)
Solve for w :
w = 7.36 + 0.92w
0.08w = 7.36
w = 92
Then the total weight of the grapes before they dried out is 100 lbs.
a small bag of 9 tiny potatoes costs 5.76........ how much does one potato cost?
Answer:
0.64 cents
Step-by-step explanation:
5.76 divided by 9 = 0.64 so if there are 9 potatoes then each one costs 0.64 cents
Hope this helps, leave any questions in the comments please.
Community Gym charges a $50 membership fee and a $50 monthly fee. Workout Gym charges a $190
membership fee and a $40 monthly fee. After how many months will the total amount of money paid to
both gyms be the same? What will the amount be?
If - 7 = 9 + x, then -3x + 5 = ?
Answer:
53
Step-by-step explanation:
At first,
- 7 = 9 + x
By subtracting 9 from both sides, we get
-7-9=9+x-9
-16=x
Now,
By substituting the value of x in -3x + 5 , we get
-3x + 5
-3×(-16)+5
48+5
53
ILL GIVE BRAINLIEST!!
Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.
Answer:
P(3 , 0)
Step-by-step explanation:
(x₁, y₁) = A(-3,-3) ;(x₂ , y₂) B(5, 1)
m : n = 3 : 1
[tex]P \left( \dfrac{mx_{2}+nx_1}{m+n},\dfrac{my_{2}+ny_{1}}{m+n} \right)\\\\P \left (\dfrac{5*3+(-3)*1}{3+1},\dfrac{3*1+1*(-3)}{3+1} \right)\\\\\\=P \left(\dfrac{15-3}{4},\dfrac{3-3}{4} \right)\\\\\\= P \left(\dfrac{12}{4},\dfrac{0}{4} \right)\\\\\\= P\left(3 , 0 \right)[/tex]
The zebras have been spotted in a
rectangular area of the Savannas that
is 1.4 kilometers by 2.4 kilometers. What
is the area of the rectangle?
Area of rectangle where Zebra spotted is 3.36 kilometer²
Step-by-step explanation:
Given that;
Zebras spotted in a rectangular area
Dimensions of area is 1.4 kilometers by 2.4 kilometers
Find:
Area of rectangle
Computation:
[tex]Area\ of\ rectangle = length \times width\\[/tex]
Area of rectangle = 1.4 x 2.4
Area of rectangle = 3.36 kilometer²
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measure of angle JKM if measure of angle JKL = 42° and measure of angle LKM = 28°
Answer:
80 degrees
Step-by-step explanation:
add both the angles
Please explain. I think it’s a two step equation.
Answer:
[tex] k = \dfrac{5}{3} [/tex]
Step-by-step explanation:
It is actually a one-step equation.
If you have a number multiplying a variable equaling another number, then you need to do only one operation to solve; you need to multiply both sides by the reciprocal of the number multiplying the variable.
Here we have
[tex] \dfrac{3}{2} = \dfrac{9}{10}k [/tex]
First, switch sides to have the variable, k, on the left side.
[tex] \dfrac{9}{10}k = \dfrac{3}{2} [/tex]
You have a variable, k, multiplied by a number, the fraction 9/10, equaling another number, 3/2. To solve for k, multiply both sides by the reciprocal of 9/10 which is 10/9.
[tex] \dfrac{10}{9} \times \dfrac{9}{10}k = \dfrac{10}{9} \times \dfrac{3}{2} [/tex]
On the left side, you have the product of two reciprocals, 10/9 and 9/10, which equals 1, leaving just k.
On the right side, you must multiply the fraction 10/9 by 3/2 and then reduce.
[tex] k = \dfrac{30}{18} [/tex]
[tex] k = \dfrac{5}{3} [/tex]
Which statement is true regarding the functions on the graph?
f(–3) = g(–4)
f(–4) = g(–3)
f(–3) = g(–3)
f(–4) = g(–4)
Answer:
f(-3)=g(-4)
Step-by-step explanation:
both functions intersect at point (-3;-4)..
Answer:
A
Step-by-step explanation:
e 2021
Which fraction on number lin is equal to 3
Answer:
12/4
Step-by-step explanation:
12/4
= 3/1
= 3
So, 12/4 = 3
The factorisation of 10xᴧ2 – 18xᴧ3 + 14xᴧ4 is
Answer:
2x^2 (5 - 9x + 7x^2)
Step-by-step explanation:
use the smallest exponent (x^2) and number (10) to factor
2 and x^2 could be factored from all
when factoring put exponents, you subtract them
2x^2 (5 - 9x + 7x^2)
2) The ratio of two to numbers is 3:7 . If the smaller number is 18, find the greater number
Answer:
42
Step-by-step explanation:
The 3 part of the ratio relates to 18
Divide by 3 to find the value of one part of the ratio.
18 ÷ 3 = 6 ← value of 1 part of the ratio , then
7 parts = 7 × 6 = 42 ← the greater number
I need help on what to do I would gladly appreciate if you can help
Answer:
9.89 or 7 radical 2
Step-by-step explanation:
What is the coefficient
Answer:
B
Step-by-step explanation:
Using the Pascal's triangle
Pertaining to the 8th term the coefficients are;
1, 8, 28, 56, 70, 56,28, 8 and 1 in that order
Expanding this,
the coefficient of the term x^7y is 8
Hannah went to the school store to buy supplies and spent $16. She bought four more pencils than pens and two fewer erasers than pens. Pens cost $1.25 each, pencils cost $0.55 each, and erasers cost $0.75 each. If x represents the number of pens Hannah bought, write an equation in terms of x that can be used to find how many of each item she bought. Use your equation to determine algebraically how many pens Hannah bought.
The algebaraic equation required is :
2.55x + 0.7 = 16
The number of pens Hannah bought is 6
If :
x = number of pens
4 more pencils Than pens ; Number of pencils = x + 4
2 fewer erasers than pens ; number of erasers = x - 2
Total amount spent = $16
The total number of items bought is :
(x) + (x + 4) + (x - 2)
Multiplying by the cost of each :
1.25x + 0.55(x+4) + 0.75(x-2)
Hence, Total amount spent can be represented as :
1.25x + 0.55(x+4) + 0.75(x-2) = 16
1.25x + 0.55x + 2.2 + 0.75x - 1.50 = 16
2.55x + 0.7 = 16
The algebraic equation is : 2.55x + 0.7 = 16
The number of pens Hannah bought can be calculated thus :
2.55x + 0.7 = 16
2.55x = 16 - 0.7
2.55x = 15.30
x = 15.30 / 2.55
x = 6
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Answer:
Step-by-step explanation: x = the number of pens Hannah bought
(x + 4) = the number of pencils Hannah bought
(x - 2) = the number of erasers Hannah bought
The equation to solve would be 1.25x + 0.55(x + 4) + 0.75(x - 2) = 16
1.25x + 0.55(x + 4) + 0.75(x - 2) = 16.00
1.25x + 0.55x + 4 * 0.55 + 0.75x - 2 * 0.75 = 16.00
1.25x + 0.55x + 2.20 + 0.75x - 1.50 = 16.00
1.25x + 0.55x + 0.75x = 15.30
2.55x = 15.30
x = 6
Note: if you didn't get a Whole Number, you know that you must've made a mistake. You can't buy part of a pen or pencil or eraser.
x = the number of pens Hannah bought = 6
(x + 4) = the number of pencils Hannah bought = 6 + 4 = 10
(x - 2) = the number of erasers Hannah bought = 6 - 2 = 4
You can check your work: 1.25(6) + 0.55(6 + 4) + 0.75(6 - 2) = 1.25(6) + 0.55(10) + 0.75(4) = 16 (check!)
PQ is an example of what?
Answer:
PQ=
Step-by-step explanation:
Performance Qualification
(regarding business or acquiring a job)
Write the chemical formula for this molecule:
N—N
O
O
(NO)²
[tex]\huge\mathfrak\red{hope \: it \: helps}[/tex]
Which of the following describes the correct process for solving the equation 2x − 6 = 22 and arrives at the correct solution?
Answer:
(01.07) Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution? (1 point) Divide both sides by 6 and then add 2. The solution is x = 8. Subtract 6 from both sides and then divide by 2. The solution is x = 8.
mark me a brainlistAnswer:
2x-6=22
2x=22+6
2x=28
x=28/2
x=14
How would I solve this problem
After t hours, the first truck covers a distance of (70 km/h) t while the second truck covers a distance of (80 km/h) t. So the distance between them is
(70 km/h) t + (80 km/h) t = (150 km/h) t
They are 900 km apart after
(150 km/h) t = 900 km ===> t = (900 km) / (150 km/h) = 6 h
A soda company has determined that it's profit during lunch on a given day
could be modeled by the function P(s)=-1/3s^2+ 10s + 8 where P is the profit
and s is the number of sodas sold. Determine the amount of sodas that would
maximize profit and how much the company would earn.
9514 1404 393
Answer:
15 sodas will give a maximum profit of 83
Step-by-step explanation:
For quadratic ax^2 +bx +c, the maximum occurs at x = -b/(2a). Here, we have ...
a = -1/3, b = 10
x = -b/(2a) = -10/(2(-1/3)) = 15
The profit for sale of 15 sodas is ...
P(15) = (-1/3s +10)s +8 = (-1/3(15) +10)(15) +8 = 5(15) +8 = 83
The company would earn a maximum of 83 from sale of 15 sodas.
Please help I have my maths tutor tomorrow.
when the tank had 8000 litres in it. Ron said it was 2/3 full. How much did it hold when it was full?
Answer:
12000
plss mark brainliest
Step-by-step explanation:
8000÷2/3
Explanation:
x = full tank capacity
2/3 of x = (2/3)*x = 8000 which is the amount Ron states when its 2/3 full
To solve for x, we will multiply both sides by 3 and then divide both sides by 2 like so
(2/3)x = 8000
2x = 8000*3
2x = 24000
x = 24000/2
x = 12000 liters is the full capacity
Note that,
2/3 of 12000 = (2/3)*12000 = 8000
which confirms our answer.
need help on #4 !!!!
Step-by-step explanation:
What other numbers are of this form have exactly four factors?
8 = 2³ has 4 factors 1, 2, 2², 2³
For any prime p, p³ has 4 factors 1, p, p², p³
Do all the perfect cubes have exactly four factors?
If p is not prime, then it is not true anymor
For instance, 8³ has more than 4 factors 1, 2², 2³,:
Is it true that all numbers that have exactly four factors are perfect cubes?
6 has 4 factors : 1, 2, 3, 6 but this is not a perfect cube.
An experiment to determine how many breaths a squirrel takes per minute yields this data: minute 1: 65 breaths;minute 2: 73 breaths; minute 3: 67 breaths; minute 4: 71 breaths; minute 5: 62 breaths. Calculate the average number of breaths per minute.
The average number of breaths per minute would be 67.6 breaths per minute.
Average can be calculated by dividing the sum of the observation by the number of observations,
[tex]Average = \frac{sum of observations}{number of observation}[/tex]
Step by step Explanation:
Over the course of 5 minutes, the squirrel takes
65 + 73 + 67+ 71+ 62 = 338 breaths in 5 minutes
So, the sum of observation = 338 and
the number of observations = 5
So If you take that number and divide it by the number of minutes, you will get the average.
[tex]=\frac{338}{5}[/tex]
67.6 breaths per minute.
Thus, the correct answer is - 67.6 breaths per minute.
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This is finding the midpoint. Please help
Answer:(4,1) ?
Step-by-step explanation:
(x1 + x2/ 2 , y1+y2/ 2)
(1+7/ 2, 5+(-3)/ 2)
(4,1)
Step-by-step explanation:
[tex]( \frac{1 + 5 }{2} ) \: and( \frac{7 + 3}{2} ) = ( \frac{6}{2} ) + ( \frac{10}{2} ) = [/tex]
(3,5)
I need help on this I'll give brainiest whoever is right
Which Canadian region continues to retain its French cultural influence from its beginnings as a colony called New France?
Group of answer choices
Alberta
Quebec
British Columbia
Northwest Territories
Answer:
I think it's Quebec
Step-by-step explanation:
because in canada's history, Canada remained a French territory until 1763 when it became the British colony of the Province of Quebec
6m + 3z + 4m + 2w - 5z
Step-by-step explanation:
6m + 3z + 4m + 2w - 5z
6m + 4m + 3z - 5z + 2w
10m - 2z + 2w
Therefore the answer is 10m -2z + 2w
HELP HELP HURRYYY the product of two numbers is rational. The first number is 3 sqrt2. What is the possible value of the other number?
The possible value of the other number will be 7√32. The correct option is D.
What is a rational number?A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. For instance, every integer and 3/7 are rational numbers.
It is given that the first number is 3√2 the value of the second number will be:-
Rational number = 3√2 x 7√32
Rational number = 21√64
Rational number = 21√( 8 x 8 )
Rational number = 21 x 8
Rational number = 168
Therefore, the possible value of the other number will be 7√32. The correct option is D.
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