Answer:
a₆ = [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
The n th term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex] , thus
a₆ = 12[tex](\frac{1}{2}) ^{5}[/tex] = 12 × [tex]\frac{1}{32}[/tex] = [tex]\frac{12}{32}[/tex] = [tex]\frac{3}{8}[/tex]
you are planning a party for 12 people and you purchase 4 bags of candy.If you have a party for 21 people,how many bags of candy should you purchase
Answer:
7
Step-by-step explanation:
one bag of candy for every three people
12 ÷ 4 = 3
21 ÷ 7 = 3
Answer:
7
Step-by-step explanation:
Apply proportions:
People/bag of candy
[tex]\frac{12}{4}[/tex]
For 21 people
[tex]\frac{21}{x}[/tex]
Equal both expressions
[tex]\frac{12}{4} =\frac{21}{x}[/tex]
Solve for x:
[tex]x=21\frac{12}{4} \\x= \frac{21}{3} \\x=7[/tex]
You should purchase 7 bags of candy
Emma biked 15 miles. One mile is approximately equal to 0.6 kilometers. What is the number of kilometers Emma biked?
Answer:
About 9 kilometers
Step-by-step explanation:
15x.6= 9
Answer: x = 9
Step-by-step explanation:
I’ll use x as the number of kilometers Emma bikes
1/0.6 = 15/x - set up proportion
1x = 9 cross products
x = 9 - divide both sides by 1 and you get 9
Rewrite the expression using a single, positive exponent: 9^3/9^9
Answer:
9⁻⁶
Step-by-step explanation:
When you're dividing, you subtract the exponents. So, 3-9=-6.
The expression 9³ / 9⁹ can be written as 9⁻⁶.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression is 9³ / 9⁹. The expression can be solved as below:-
E = 9³ / 9⁹
E = 9³ x 9⁻⁹
E = 9³⁻⁹
E = 9⁻⁶
Therefore, the expression 9³ / 9⁹ can be written as 9⁻⁶.
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Find x if mZPHI = 150º,
mZGHI = 15x – 5, and mZGHP = x + 13
how do i find the area of a triangle
Answer:
The area of each triangle is one-half the area of the rectangle. So, the area A of a triangle is given by the formula A=1/2bh where b is the base and h is the height of the triangle.
Step-by-step explanation:
describe the shape of the cross section formed by the intersection of the plane and the solid
Answer:
What are the Answers?
Step-by-step explanation:
Rectangle is the shape of the cross section formed by the intersection of the plane and the solid.
If a plane intersects a cylinder in a perpendicular manner, such that the plane is parallel to one of the bases of the cylinder, the resulting cross-section will be a rectangle.
The rectangle's dimensions will depend on the dimensions of the cylinder and the specific position of the plane within the cylinder.
The length of the rectangle will be equal to the circumference of the cylinder, and the width will be equal to the height or the diameter of the cylinder.
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Rachel earned $ 34 $34dollar sign, 34 in 4 44 hours at her job today. She wants to know how much she could earn ( e ) (e)left parenthesis, e, right parenthesis tomorrow if she works 10 1010 hours at the same hourly rate. How much will Rachel earn in 10 1010 hours? $
Answer:
Rachel earn $85 in 10 hours.
Step-by-step explanation:
Rachel earned $34 in 4 hours at her job today. It means we can find his earning in 1 hour.
1 hour = $(34/4)
= $8.5
He earns $8.5 in an hour.
To find his earning in 10 hours, multiply $8.5 by 10. So,
Earning = $8.5 × 10
= $85
Hence, Rachel earn $85 in 10 hours.
Answer:
85
Step-by-step explanation:
I am right
Can function notations be simplified?
I was working on this equation: f(x) = -6/9x + 300
I was wondering if I can convert the fraction ‘-6/9’ into ‘-2/3’?
Step-by-step explanation:
it's not same but u can find your answer through it
Heather worked on 4 command cards in 140 minutes. At the same rate, how many cards can she complete in 315 minutes?
Answer:
9 command Cards
Step-by-step explanation:
Oprs]
Three hundred and forty students enroll for soccer and tennis classes in the
ratio of 6:11. Find the number of students who have signed up for each sport.
Answer:
Soccer = 120
Tennis = 220
Step-by-step explanation:
The total number of students enrolling for soccer and tennis classes is, 340.
The ratio number of students enrolling for soccer and tennis classes is, 6:11.
Then,
6x + 11x = 340
17x = 340
x = 20
The number of students enrolled for soccer class is, 6x = 6 × 20 = 120.
The number of students enrolled for tennis class is, 11x = 11 × 20 = 120.
expand 2t(6t-3) please
Heyy! Can y’all plz help me on this I would really appreciate it :)
10x - 7 = 7x - 1
Answer:
x = 2
Step-by-step explanation:
10x - 7 = 7x - 1
10x = 7x + 6
3x = 6
x = 2
Answer:
x = 2
Step-by-step explanation:
Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.
You should be left with 10x - 7x = 7 - 1.
10x - 7x = 3x
7 - 1 = 6
3x = 6
Divide both sides by three to get your answer of x = 2.
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sign, 7, point, 50 delivery fee and \$14$14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60$60dollar sign, 60. Each pizza is cut into 888 slices, and she wonders how many total slices she can afford. Let PPP represent the number of pizzas that Jacque buys.
Answer:
30slicesStep-by-step explanation:
given data
cost of pizza $7.5
cost of delivery=$14
let the the number of pizza be p
let the total cost of x pizza be y
the expression for the total cost of x pizza is
y=7.5+14p
given that y=$60
60=7.5+14p
solving for x we have
14p=60-7.5
14p=52.5
p=52.5/14
p=3.75
therefore the total slices is
3.75*8= 30slices
⚠️⚠️⚠️ I WILL MARK BRAINLIEST ⚠️⚠️⚠️
Please help with 5-8 with working out please thanks , it’s due ASAP
Answer:
I can only help with 5 and 6 which both are A.
Explanation:
that's because Cosine is adjacent to the angle (the angle being 30 degrees and the side next to it is 43mm) divided by the hypotenuse (longest side of a right triangle. The 50 mm). A way you can remember the sin, cosine and tangent is SOH CAH TOA. Sine=opposite over hypotenuse, Cosine = adjacent over hypotenuse, Tangent = opposite over adjacent. For the next one, it is the same principal. X is adjacent to 22 degrees and the other number is the hypotenuse so it has to be Cosine.
For a given recipe, 6 cups of flour are mixed with 12 cups of sugar. How many cups of sugar should be used if 16 cups of flour are used?
Answer:
32 cups
Step-by-step explanation:
hope this helps plz mark brainliest
Reorder the steps to construct Angle JOB, a copy of Angle A.
__ Construct oj
__ Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A.
__ On Angle A, set your compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass.
__ Place the point of the compass on the intersection of the arc on OB. Mark an arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
__ Draw a ray that will become one of the two rays of the new angle. Label the ray OB.
__ Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
Answer:
The right order is given as follows;
_Draw a ray that will become one of the two rays of the new angle, label OB
_Place your compass point at the vertex of Angle A. Create an arc that intersects both rays of Angle A
_On Angle A, set the compass point on the intersection of the arc and ray and the pencil on the other intersection of the arc and second ray. Lock your compass
_Without changing your compass setting, create an arc from point O that intersects OB. Be sure to make a large arc.
_Place the point of the compass on the intersection of the arc on OB. Mark an arc arc through the large arc created in a previous step. Label the point of intersection of the two arcs point J.
_Construct OJ
Step-by-step explanation:
1) The first step is to draw a line in the location where the angle to be copied is to be constructed
2) The distance of two points on the rays forming the angle to be copied from the vertex are found by drawing an arc from the vertex and setting the compass opening width to the distances between the intersection of the arc and the rays
3) With the set compass width from the step above, an arc is drawn which intersects the constructed first new ray. The arc is made to extend to a large angle to accommodate large angle sizes
4) From the point of intersection of the arc on the new line, another arc is drawn to intersect the previous arc located on the new line construction
5) Join the point intersection of the two arcs on the new construction to the start point of the constructed first new line (the point from which the first arc was constructed to complete the construction of a copy of the angle.
Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.
Answer:
son $23.345 creo que si espero que si sea
You and five friends are going to see a movie it’s a movie ticket cost eight dollars complete the equation to show
Answer:
the answer would be $45
Step-by-step explanation:
Which number is the additive inverse of -5?
O -1/5
O 0
O 1/5
O 5
Answer:
5
Step-by-step explanation:
It's the opposite of the sign. So you just add a negative if positive and a positive if negative.
Ex.
-20 = 20
14 = -14
Which of the following statements are FALSE when identifying the type of slope of a line.
A Positive slope increases from left to right.
B Negative slope decreases from left to right.
C Undefined slope is when there is no vertical change.
D No or Zero slope is a horizontal line.
Answer: Choice C) Undefined slope is when there is no vertical change
If you replace "vertical" with "horizontal", then choice C would be a true statement. All vertical lines have an undefined slope.
This is because the slope formula
m = (y2-y1)/(x2-x1)
has 0 in the denominator when you subtract the x coordinates. Dividing by zero is undefined. For any single vertical line, the x coordinates of any two points are the same. For instance, the vertical line through 4 on the x axis is the equation x = 4, and every point on this line has x coordinate 4.
Jose is saving for a new bike. He already has $125. If he saves
$25 of his allowance per week, how many weeks must he wait
to save at least $600 to cover tax and delivery fees?
Answer: 19 weeks.
Step-by-step explanation: 600 - 125 = 475. This means he needs to save $475 more. 475 divided by 25 is 19. So the answer is he must wait 19 more weeks.
Answer:
19 weeks
Step-by-step explanation:
600=25x+125
x=19
Solve for x:
7x-99+ 2x+1
please helpppp
Answer:
x = 20
Step-by-step explanation:
7x - 99 = 2x + 1 (vertically opposite angles are equal)
Rearrange
5x = 100
x = 20
How many terms are in the expression 76-3a + 4b + 5a?
Answer:
4
Step-by-step explanation:
In Algebra a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs
PLEASE HELP W MY MATH FINAL! NO EXPLANATION NEEDED :))
TY
Answer:
nothing in the first blank +3 or 3 in the second blank and +1 or 1 in the last blank
Step-by-step explanation:
A truck can be rented from Company A for $60 a day plus $0.20 per mile. Company B charges $20 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
So this isn't a answer:
This is to help you understand how to do it in the future.
So we are going to let HOW MANY MILES GO BY be represented as (m)
Company A
60 + (m + .20) = final cost
Company B
20 + (m + .60) = final cost
Now you have to plug in numbers till you get your total miles left.
Have a good Day!!
4x+1=x-5 slove for x
Answer:
x = −2
Step-by-step explanation:
4x + 1 = x − 5
Subtract 1 from both sides
4x + 1 − 1 = x − 5 − 1
Simplify
4x = x − 6
Subtract x from both sides
4x −x = x − 6 − x
Simplify
3x = −6
Divide both sides by 3
[tex]{\frac{3x}{3}[/tex]=[tex]\frac{-6}{3}[/tex]
Simplify
x = −2
Dale's Auto shop wash earns revenues of $8 per customer. After serving 4 customers, how much revenue will Dale's Auto Wash have?
Ashley and her sisters decide to split the cost of dinner, which is $26. By how much you will each sisters bank account be impacted
Answer:
$13.00 per person
Step-by-step explanation: you divide $26 by 2
Simplify the expression
16+(-3)-3/7j-5/7j+4
can someone help please
Answer:
Tissue
Step-by-step explanation:
Forgive me if I'm wrong but I'm 90 percent sure I'm not.
Happy almost Halloween!!