3^x X 9^4 = 3^n
Find n in terms of x
Answer:
n = x + 8
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Then
[tex]3^{x}[/tex] × [tex]9^{4}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x}[/tex] ×[tex](3^2)^{4}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x}[/tex] × [tex]3^{8}[/tex] = [tex]3^{n}[/tex]
[tex]3^{x+8}[/tex] = [tex]3^{n}[/tex]
Since bases on both sides are equal, both 3, then equate exponents
n = x + 8
james has a rope that is 7 1/2 meters in length. He must cut the rope into 1/2 meter strips for a home improvement project he is working on. How many 1/2 meter strips can he cut?
Answer:
He can cut 15 1/2 meter strips.
Step-by-step explanation:
10 1/2 meter strips are 5 meters in length.
5 1/2 meter strips are 2.5 meters in length.
5 + 2.5 = 7.5 meters in length
What is 5/6 of 78kg?
3/4x3-2= -1/4+1/2x+5
Answer:
what I think the answer is ×=-9
Answer:
[tex]x[/tex] = 19
Katie's favorite deli has a salad bar where she can make her own salad. She has to pay $1 for the container and $3 per pound for the salad.
Write an equation that shows how the total cost, y, depends on weight of the salad in pounds, x.
Do not include dollar signs in the equation
Answer:
y = 3x + 1
Step-by-step explanation:
Answer: y = 3x + 1
Step-by-step explanation:
Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.
For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).
Knowing that m (slope) = [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_1}}[/tex], we can get the equation m = [tex]\frac{7-4}{2-1}[/tex], thus telling us that m = [tex]\frac{3}{1}[/tex], or 3. Plug in 3 for m, and you get y = 3x + b.
To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.
Plug in 1 for b and you end up with y = 3x + 1
who knows what 59.95 multiplied by 44.95. And 13.95 multiplied by 15.95.
Answer:
→ 59.95 multiplied by 44.95 is 2694.7525
→ 13.95 multiplied by 15.95 is 222.5025
(I am not sure if this is correct but I hope you get this correct, but I wish you good luck! with your homework.)
Please help homework due tomorrow!!
12. Ms. Kerr needs $450 to purchase new volleyballs. She has already saved 65% of the money, how much
additional money does she need to save to have enough to purchase the equipment?
13. A 6th grade student is 5 feet tall and casts a 12 foot shadow. How tall is the 8th grader standing next to
him that casts a 14.4 foot shadow?
Answer:
12-157.5 13-6ft
Step-by-step explanation:
the first one just look up 65% of 450 and minus the number you get by 450
the second one do the butterfly method
[tex]\frac{5}{12} \frac{x}{14.4} \\[/tex]
the heights on top and shadows on bottom
12x=72
x=6
Find the missing dimensions: Use the scale factor 1/4:3
Answer:
The answer is 1/4!
Step-by-step explanation:
please help!! this is for my geometry class
Answer:
x = 48°
Step-by-step explanation:
The triangle on the left has 3 congruent sides and is equilateral with 3 congruent angles, each of 60°
The 3 angles on the base line sum to 180° , that is
60° + 54° + base = 180°
114° + base = 180° ( subtract 114° from both sides )
base = 66°
The triangle on the right has 2 congruent sides and is isosceles with base angles congruent , both 66° , then
x = 180° - (66 + 66)° = 180° - 132° = 48°
the Greatest Common Factor of 24, 36 and 50
Answer:
2
Step-by-step explanation:
they all share a factor of 2
I need help pls help me
Answer:
$1,270
Step-by-step explanation:
let x be the total amount of ice cream sold without tax
x + (x*0.0635)=21270
1.0635x=21270
x=20,000
so the amount he needs to send to state is
21270-20000
1,270
Total cost of icecream without cost be x
[tex]\\ \sf\longmapsto x+0.0635x=21270[/tex]
[tex]\\ \sf\longmapsto 1.0635x=21270[/tex]
[tex]\\ \sf\longmapsto x=21270/1.0635=20000[/tex]
Amount to be paid
[tex]\\ \sf\longmapsto 21270-20000=1270[/tex]
Find the measure of each angle indicated.
Step-by-step explanation:
92°
as the has given pair of angle is Alternate Exterior angle so they have same values.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Select all statements that are true about the triangles.
Figure ABCD with diagonal BC, sides AB and DC are congruent, angle A is congruent to angle D and sides AC and DB are congruent.
Group of answer choices
Triangles ABC and BCD are congruent by the Angle-Side-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Angle-Angle Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Side-Side Triangle Congruence Theorem.
Triangles ABC and DCB are congruent by the Side-Angle-Side Triangle Congruence Theorem.
Triangles ABC and BCD are congruent by the Side-Side-Side Triangle Congruence Theorem.
There is not enough information to determine if the triangles are congruent
Answer:
Triangle ABC and BCD are congruent by the side side side triangle congruence theorem
If Marlene can type 157 words per minute how many words can she type in 25 minute
Answer:
3925
Step-by-step explanation:
25x
25*157
1/2v-12+20=14
whats the answer of v
Answer:
v=12
Step-by-step explanation:
1/2v-12+20=14
Add.
1/2v+8=14
Subtract 8 from both sides of the equation.
1/2v=6
Divide 1/2 from both sides of the equation.
v=12
Hope this helps :)
Someone please help me. Thank you!
Answer:
y = -1/2x
Step-by-step explanation:
Okay, so you probably heard of the slope-intercept form, y = mx + b. We have to use that formula to create a line that goes through (2,1), because thats the bisector.
Let's have our point start at the origin, (0,0). This you make our equation of y=mx+b into y = mx + 0. Since it's 0, let's just drop it out of our equation.
So now for slope. Rise/Run is what we're going to use to create our slope. Since we started at the origin, our slope is going to be negative. We can go down one over two from the origin to get to points (2,1) so why can't that be our slope? We're rising -1, and running 2, making our slope -1/2. In the equation, it would be y= -1/2x + 0, which can be simplified into y = -1/2x
It's a lot of writing and explaining, so I hope this helps! Try asking your teacher just to make sure it's correct.
A shop increases all its prices by 10%. Calculate the new price for an article which was previously sold for £7,500
Answer:
Your answer is 8250
Step-by-step explanation:
STEPS:
7500 x (1+0.1)
7500x1.1 = 8250
Hope this helped :)
To form a hyperbola what is the relationship between the base of the cone and the angle of the plane that intersects the cone
A. The plane is a parallel to the base of the cone
B. The plane may be perpendicular to the base of the cone
C. the plane must be at a 45 degree angle to the base of the cone
D. The plane is at an angle that is neither parallel nor perpendicular to the base of the cone
if 4 friends have 8 apples how many will each friend get
2 because 8 divided by 4 is 2.
Answer:
2
Step-by-step explanation:
8/4 is 2
HELP ASAP
Solve for the measure of ∠PMR
Answer:
116*
Step-by-step explanation:
Since <PMR consists of <RPW and <WPM and we know that these are the same, we just have to multiply 58 by 2 and get 116, which will be your answer.
Tell me if I'm wrong :)
PERSONALLY I thought it would be 98 Bc like yk..BUT I FEEL LIKE IM WRONGsend help beggin cryin throwin up I hate geometry so much
Answer:
X=98(Being corresponding angle)
You are correct
someone help me pls
i need it now
just simply choose the letter of the correct answer
Answer:
Step-by-step explanation:
1. D
2. A
3. A
4. B
5. B
dont know the rest sorry
Pls help me i only have 20 mins
Answer:
In bold below.
Step-by-step explanation:
Part 1A: 60 hours * $11.50.
Ashly's GMI is $690.00
Part 2A: To find out how much Ashly's income goes towards technology, we need to find out how much 10% of $690.00 is. To do that, multiply 690 * 0.1. You'll get $69.00.
$69.00 goes towards Ashly's technology.
Part 2B: To find out how much she spends on lunch, we must do the same as above, only replacing 0.1 with 0.02. 690.00 * 0.02 = 13.8
$13.80 goes towards Ashly's technology.
Part 2C: $13.80 + $69.00 = $82.80
$82.80 is Ashly's monthly deductions.
Part 3A: If Ashly's annual salary is $8,280, we divide that by 12 to see how much she gets per month.
Ashly's GMI is $690.00
write the equation of the line from the given information. slope 1/2, through (4,-3)
Answer:
y+3 = 1/2 (x-4)
Step-by-step explanation:
We can write the equation in point slope form
y-y1 = m(x-x1)
The slope is m and the point is (x1,y1)
y - -3 = 1/2(x -4)
y+3 = 1/2 (x-4)
If there are four quarts in a gallon, how many quarts are in 101/2 gallons?
Answer:
202
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST!
Answer:
I think the answer is B.
Step-by-step explanation:
Answer:
c. 81x^2 -4y^2
Step-by-step explanation:
Area of full square - area of white square.
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Which equation represents a line which is parallel to the line 7y - 4x = -14?
Oy= 1x + 2
O y = x - 1
O y = -x + 6
Oy = -x - 3
William bought 6 shirts for $119.70. How much did one shirt cost him?
Answer:
19.95
Step-by-step explanation:
i just divvied 119.70 by 19.95
which of the following is not a true dilation?
A. The image and preimage have congruent angles
B. The image and preimage have proportional sides
C. The image and preimage are congruent
D. The image and preimage are similar
Answer:
umm i think it is B.
Step-by-step explanation:
HELLLP-
What is the location of the origin?
(0,0)
(1,1)
0
(10,10)