9514 1404 393
Answer:
8, 15, 22
Step-by-step explanation:
The sequence has ...
a1 = 1
a5 = 29
__
The generic formula for an arithmetic sequence is ...
an = a1 +d(n -1)
Filling in the known information, we can find d:
29 = 1 + d(5 -1)
28/4 = d = 7
The terms of the sequence have a common difference of 7, so each is 7 more than the one before. The first five terms are ...
1, 8, 15, 22, 29
The missing terms are 8, 15, 22.
I'm stuck on this question.
Answer:
Fred's total net worth is $61,900
Step-by-step explanation:
For net worth, add assets together and then subtract the liabilities from the total:
90,000 + 12,500 + 20,200
122,700 - (53,000 + 5,800 + 2,000)
61,900
Answer:
$61,900
Explanation:
Add all the assets: 90000 + 12500 + 20200 = 122700
Add all the liabilities: 53000 + 5800 + 2000 = 60800
Total assets - liabilities: 122700 - 60800 = $61900
1. -4(x + 3) = 8
+
= 8
+
= 8
=
X
X=
Hello! :)
1.-4(x+3)=8
-4(x+3)=8
(x+3)= -2
x=(-5)
☆GOOD LUCK!☆
Kenji deposited $10 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 3 years?
0.3 so yea i guess....
Answer:
Step-by-step explanation: 380
In rugged terrain, Martin can hike 1/8 Mile in 1/2 hour. At this rate, how far can Martin hike in 1 hour?
A. 5/8 mile
B. 1/16 mile
C. 1/4 mile
D. 1/6 mile
There are 4 games at the carnival Kevin played all the games in 40 minutes how many minutes did he spend at each games if he spent an equal amount of time at each
Oliver drove 278 miles in 4 hours how much hours does it take him to drive 139 miles
PLSSS HELP
Answer:
34.75 i think
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf 2 \ hours}}[/tex]
Step-by-step explanation:
Let's set up a proportion to solve. Use the following setup:
[tex]\frac {hours}{miles}=\frac{hours}{miles}[/tex]
We know that it takes Oliver 4 hours to drive 278 miles.
[tex]\frac {4 \ hours}{278 \ miles}=\frac{hours}{miles}[/tex]
We don't know how long it takes him to drive 139 miles. Therefore, we use the variable x for hours, because it is unknown.
[tex]\frac {4 \ hours}{278 \ miles}=\frac{x \ hours}{139 \ miles}[/tex]
[tex]\frac {4 }{278 }=\frac{x \ hours}{139 }[/tex]
We are solving for x, the hours it takes him to drive 139 miles. The variable must be isolated. It is being divided by 139 and the inverse of division is multiplication. Multiply both sides of the equation by 139.
[tex]139*\frac {4 }{278 }=\frac{x \ hours}{139 }*139[/tex]
[tex]139*\frac {4 }{278 }={x }[/tex]
[tex]2=x[/tex]
It takes Oliver 2 hours to drive 139 miles.
Which features are correctly stated? There is more than one answer.
HELPPP ITS A TESTAKAJNSDUJSWMNS
Answer:
5^6
Step-by-step explanation:
by the law of exponents,
5^2 * 5^(-8)
5^ [2+ (-8)]
5^(2-8) = 5^-6 = 1/5^6 = 5^6
Abigail and her children went into a movie theater and she bought $71.50 worth of
drinks and pretzels. Each drink costs $4 and each pretzel costs $4.75. She bought a
total of 16 drinks and pretzels altogether. Determine the number of drinks and the
number of pretzels that Abigail bought.
Answer: The number of drinks she bought would be 6 and the number of pretzels she bought would be 10.
what angle does an arc 6.6cm on length subtends at the centre of a circle of radius 14cm? take
[tex]\pi = 22 \7[/tex]
Given:
Arc length = 6.6 cm
Radius = 14 cm
To find:
The angle subtended by the arc at the center.
Solution:
The formula for arc length is:
[tex]s=2\pi r\dfrac{\theta}{360}[/tex]
Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in degrees.
Putting [tex]s=6.6,\pi=\dfrac{22}{7},r=14[/tex],we get
[tex]6.6=2\times \dfrac{22}{7}\times 14\times \dfrac{\theta}{360}[/tex]
[tex]6.6=88\times \dfrac{\theta}{360}[/tex]
[tex]\dfrac{6.6}{88}\times 360=\theta[/tex]
[tex]27^\circ=\theta[/tex]
Therefore, the measure of the central angle is [tex]27^\circ[/tex].
Find the Volume if the height is 10 cm and radius 3 cm? Round to the nearest
whole number
[tex]282.8cm pa brainlest po[/tex]
1.55y-(5y-17)/100=0.02
In the triangle above, the measure of A is 66°, and the measure of B is 68°. What is the measure of C?
Answer:
46°
Step-by-step explanation:
Given that :
Angle, A = 66°
Angle B = 68°
The sum of angles in a triangle is given by :
A + B + C = 180° (sum if angles una triangle)
66° + 68° + C = 180°
134° + C = 180°
C = 180° - 134°
C = 46°
Hence, angle C is 46°
Select two answer choioces
Answer:
C or 3rd option
Step-by-step explanation:
1/3 - 2/5
15/15 - 6/15
9/15
B is not correct
2/5 - 1/3
this will be a negative answer
Answer of this please BOTH!!
Answer:
1. True
2. 40.96
Step-by-step explanation:
Can provide if needed
Answer:
Question 4:True
Question 5: 40.96
Step-by-step explanation:
Question 4: 7.4 times 5.2 dived by 2.
Question 5: 6.4 x 6.4.
Please give me Brainliest (:.
3x+3/2=x/2-6 maths chapter
Answer:
x=-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
3x+3/2=x/2-6
=6x+3/2=x-12/2
=2x-24=12x+6
=2x-12x=6+24
= -10x=30
= -3
Please answer correctly! I will mark you as Brainliest!
Answer:
the height is 9.8 cm
Step-by-step explanation:
71.54 ÷ 7.3 = 9.8
2. Hannah's pay varies directly to the number of hours she works. If she made $231 for 28 hours of work, identify the constant of variation and write an equation to represent the relationship.
Answer:
Constant of variation: $8.25
Equation: y=8.25x
Step-by-step explanation:
231/28=8.25
Answer:8.25
Step-by-step explanation:
231/28
Which algebraic representation
should be used to find the
coordinates for Figure JKLM, the
reflection of Figure JKLM over
the y-axis?
A (x, y) = (x, y)
B (x, y) = (x,-)
C (x, y) (-, -y)
D (x, y) (-, y + 1)
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4
Given:
PQRS is a rectangle.
X is the midpoint of SR.
To find:
The measure of QX.
Solution:
It is given that X is the midpoint of SR. Draw a perpendicular on PQ from point X as shown in the below figure.
Now, the line XY divides the rectangle PQRS into two equal squares of sides 4 units.
The diagonal of a square is:
[tex]d=a\sqrt{2}[/tex]
Where, a is the side length of the square.
QX is the diagonal of the square whose side length is 4 units. So, the length of QX is:
[tex]d=4\sqrt{2}[/tex]
[tex]d=5.656854[/tex]
[tex]d\approx 5.7[/tex]
Therefore, the measure of segment QX is about 5.7 units.
Please need help nowwwwww helpppppp
is negitive -2.5 greater than -3
Answer:
yes
Step-by-step explanation:
–2.5 is greater than –3, because –2.5 lies to the right of –3 on the number line.
In the figure name ALL the angles that are congruent to angle 8.
The angels that are congruent to 8 are 6, 3, 1.
What is the area of the shaded region
36
9
52
27
Answer:
36
Step-by-step explanation:
Length x width = area (6 x 6 = 36). Hope this helps.
Distributive Property to solve the equation. 5(x - 6) + 8 = 7x- 8 (Type the value of x.)
Answer:
x=−7
Solving for X:
Step 1: Simplify both sides of your equation.
5x−22=7x−8
Step 2: Subtract 7x from both sides.
5x−22−7x=7x−8−7x
−2x−22=−8
Step 3: Add 22 to both sides.
−2x−22+22=−8+22
−2x=14
Step 4: Divide both sides by -2.
-2x/-2 = 14/-2
^ x = -7
THEREFORE:
x is −7
Which iequailty model and solution set best represents the possible side lengths of miriam's bulletin board?
Question:
Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?
Answer:
[tex]x \le 18[/tex]
Step-by-step explanation:
Given
[tex]Border\ Material = 72[/tex]
Required
Determine an inequality for x
Represent the side lengths of the border with y. So:
Since the border is on the 4 sides, then
[tex]4y = 72[/tex] -- i.e. the perimeter of the border material
Solve for y
[tex]y =\frac{72}{4}[/tex]
[tex]y =18[/tex]
Recall that x represents the board's side length.
Since x will be situated inside the boarder, then.
[tex]x \le y[/tex]
Substitute [tex]y =18[/tex]
[tex]x \le 18[/tex]
the area of a rectangle is the same as the area of a square of side 12cm if the rectangle is 16cm long find its width
Answer:
9
Step-by-step explanation:
first find the square's area by multiplying 12 × 12 to get 144
then divide 144 ÷ 16 to find the width which is 9
Write in word form:
436,783,210
Answer:
Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten
Step-by-step explanation:
four hundred and thirty six
seven hundred and eighty three
two hundred and ten
Step-by-step explanation:
prove that √p is an irrational number , if p is not a perfect square.
[tex] \huge \frak \green{question}[/tex]
prove that √p is an irrational number , if p is not a perfect square.
[tex] \huge \frak \red{answer}[/tex]
Let us assume, to the contrary, that √p is rational. So, we can find coprime integers a and b(b ≠ 0) such that :-
=> √p = a/b
=> √p b = a
=> pb² = a² ….(i) [Squaring both the sides]
=> a² is divisible by p
=> a is divisible by p So, we can write a = pc for some integer c.
Therefore,
a² = p²c² ….[Squaring both the sides]
=> pb² = p²c² ….[From (i)]
=> b² = pc²
=> b² is divisible by p
=> b is divisible by p
=> p divides both a and b.
=> a and b have at least p as a common factor.
But this contradicts the fact that a and b are coprime. This contradiction arises because we have assumed that √p is rational. Therefore, √p is irrational.
_____________________________________
[tex] \bold \green{i \: hope \: it \: is \: helpful}[/tex]
________________________________
A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?
Answer:
the perimeter is 28
Step-by-step explanation:
2+2=4
12+12=24
24+4=28
Answer:
Perimeter = 28 feet
Step-by-step explanation:
The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement
12 * d = 24
d = 24/12
d = 2
So the missing dimension is 2 feet
Now we simply find the perimeter of the rectangle using the formula
2 ( length + width)
= 2 (12 + 2 )
= 2 ( 14 )
= 28 feet