Answer:
- 1020
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = a₂ - a₁ = 0 - 12 = - 12 , thus
a₈₇ = 12 + (86 × - 12) = 12 - 1032 = - 1020
Answer:
-1008
Step-by-step explanation:
Paula has 10 forks and 15 knives to place in silverware holders at the fast food restaurant where she works. She wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Paula can stock?
Answer:
that answer is 5 hope you get it right
What is the first step in solving this problem?
⅘ + ½ =
Answer:
Find the least common denominator, which is 10.
explain what it means to solve a system of equations
Answer:
um hope this helps :D
Step-by-step explanation:
A system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.
A collection of two or more equations with the same set of unknowns is referred to as a system of equations. I
What is a system of equations?A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The problem can be expressed in narrative form or the problem can be expressed in algebraic form.
If the lines intersect, we identify the point of intersection. This is the solution to the system. The solutions of a system of equations are the values of the variables that make all the equations true.
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Find the value of X for the given pentagon?
Answer:
x = 44°
Step-by-step explanation:
The sum of the exterior angles of any polygon my be 360°, so just add all the angles up, and subtract this from 360°.
Given a pentagon with exterior angles: 102°, 47°, 34°, and 133° with the missing angle x°.
To find the missing angle, first write an equation representing the given rule:
102° + 47° + 34° + 133° + x° = 360°
(316°) + x° = 360°
316° + x° - 316° = 360° - 316°
x° = 44°.
This way, because the rule must be true, the missing angle with this value will satisfy this:
102° + 47° + 34° + 133° + 44° = 360°
For this topic, here are some general angle rules for polygons:
n is the number of sides180° (n – 2) = sum of interior angles of any polygon.180° (n – 2) / n = each interior angle of a regular polygon [all sides and or angles the same measure / congruent].360° = sum of exterior angles of any polygon.360° / n = each exterior angle of a regular polygon. [all sides and or angles the same measure / congruent].Jessica rode her bike for 2 hours at the speed of 23 miles per hour. How far did she travel?
the sum in the form a(b+c) such that the integers band chave no common factor.
99 +33
Answer:
33(3+1)
Step-by-step explanation:
Find the GCF of 99 and 33
99=3^2•1133=3•11So the GCF is 3•11=33Factor 33 out
33(3+1)what is the GCF of 12 and 24
Can someone help me with this question please !!! Danica is saving money to buy a used car in six months. She needs to save $1500 for a down payment in order to be able to finance the rest. She gets paid $180 per week at her part-time job. How much money will she need to save out of every weekly paycheck to reach her savings goal of $1500 in six months? Show the calculations:
Answer:
She will have to work at least 83 times.
Step-by-step explanation:
Divide 1,500 by 180 and then to check answer multiply 180 with 83.
Find the area of this sector
Answer:
7π mm²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{280}{360}[/tex] ( r is the radius )
= π × 3² × [tex]\frac{28}{36}[/tex]
= 9π × [tex]\frac{7}{9}[/tex] ( cancel the 9's )
= π × 7
= 7π mm²
Answer:
0.0146607657 rad m
Write the equation of the line when m = 4 and the point (3, 15) lies on the line.
Answer:
y=4x+3
Step-by-step explanation:
y=mx+b
15=4(3)+b
15=12+b
-12 -12
3=b
y=4x+3
Line m passes through points (10, 10) and (2, 1). Line n is perpendicular to m. What is the
slope of line n?
Answer:
-8/9
Step-by-step explanation:
my work is in the picture above. lmk if you'd like me to explain more
The slope of line [n] would be -8/9.
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have line [m] passes through points (10, 10) and (2, 1).
We can write the equation of line [m] as follows.
slope of line [m] = a = (1 - 10)/(2 - 10) = -9/-8 = 9/8
a = 9/8
slope of line [n] -
m[n] x a = - 1
m[n] = -1/a
m[n] = -8/9
Therefore, the slope of line [n] would be -8/9.
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Jessica sold half of her comic books and then bought 9 more. She now has 13. How many did she begin with?
Step 1: Define your variable(s)
Step 2: Write an equation.
Step 3: Solve your equation.Step 5: Write a summary statement explaining your solution in the context of the problem..
Step 4: Check your solution.
Step 5: Write a summary statement explaining your solution in the context of the problem..
please helpp me .
Answer:
She started with 8 books.
Step-by-step explanation:
Given 1 || m ||
n, find the value of x.
m
140°
n
(8x+12)
Answer:
x = 16
DISREGARD 16.5 MY BAD the answer is 16
Step-by-step explanation:
140 = 8x+12
Subtract 12 on both sides
128 = 8x
Divide by 8
16 = x
x = 16
Answer:
x = 16
Step-by-step explanation:
(8x + 12)° = 140°
8x + 12 = 140
8x = 128
x = 128 ÷ 8
x = 16
Allison can jog 3 blocks in the same amount of time it takes her brother, Blake, to jog 2 blocks. If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?
Answer:
Blake will jog 12 blocks
Step-by-step explanation:
Allison : Blake = 3 : 2
If they keep jogging at the same rate, how many blocks will Blake jog if Allison jogs 18 blocks?
Allison : Blake = 18 : x
Equate the ratios
3 : 2 = 18 : x
3/2 = 18/x
Cross multiply
3 * x = 2 * 18
3x = 36
Divide both sides by 3
x = 36 / 3
= 12
x = 12
Blake will jog 12 blocks
Answer:
12 blocks
Step-by-step explanation: she ran 12 blocks
Ennis ran 3 miles in 20 minutes and continues running at this rate for 1 hour. Cindy ran 6 miles in 30 minutes and continues running at this rate for 1 hour.
Answer:
Ennis=9 milesCindy=12 milesStep-by-step explanation:
Step one:
given data
For Ennis
distance covered= 3 miles
time taken = 20 minutes
Hence Ennis speed is
velocity= distance/time
velocity= 3/20
velocity=0.15miles per minutes
Therefore in 1 hour that is 60 minutes the distance she will cover is
distance= velocity * time
Distance= 0.15*60
Distance= 9 miles
Step two:
For Cindy
distance covered= 6 miles
time taken = 30 minutes
Hence Cindy speed is
velocity= distance/time
velocity= 6/30
velocity=0.2miles per minutes
Therefore in 1 hour that is 60 minutes the distance she will cover is
distance= velocity * time
Distance= 0.2*60
Distance= 12 miles
Solve 14+3n=5n−6 . Check your solution.
n= __
Answer:
N = 10
Step-by-step explanation:
Subtract 3n from both sides
14 = 2n - 6
add 6 to both sides
20 = 2n
divide by 2
n = 10
Answer:
n = 10
I hope this helps!
(-2, -3)and (-5, -3) ?
Answer:
slope is zero equation is y=-3
Step-by-step explanation:
since there is no change in y and they cancel out so you just 0.
Which of the following statements about the congruent triangles below is true?
A.) AB=DE
B.) AC=EF
C.) AC=DE
D.) BC=DE
Answer:
AB=DE
Step-by-step explanation:
they're literally the only pair on the same sides lol
The side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have two triangles shown in the picture.
As we know from the definition of the congruent triangle, the same size, and shape.
The three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle
Thus, the side AB is equal to DE or AB ≅ DE option (A) AB ≅ DE is correct.
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What if a fence painting competition allowed pairs to compete? If Ben Rogers can paint the fence in 8 min on his own and Johnny Miller can paint it in 6 min, then how long would it take them working together?
If Ben can paint a single coat of the fence in 8 min, then how much of the fence could Ben paint in 1 min?
If Johnny can paint a single coat of the fence in 6 min, then how much of the fence could Johnny paint in 1 min?
If Ben and Johnny work together to paint a single coat of the fence, then let t represent the amount of time they each spend painting. What operation should be used to set up an equation that represents how long they would take to paint a single coat of the fence?
Solve the equation for t. How long will it take Ben and Johnny to paint the fence? Round your answer to the nearest tenth of a minute.
Answer:
I'm confused on what it's asking
Step-by-step explanation:
The base of a skyscraper is a triangle bordered by three streets: Main Street, Elm Street, and Maple Street. The Elm Street side is 2 ft shorter than twice the Maple Street side. The Maple Street side is 12 ft shorter than half the Main Street side. The Main Street side is 210 ft.
Answer:
Step-by-step explanation:
1. 93
2.184
Simplify the following expression.
5+((2*5) -7)^2 -9
Your answer:
1
5
-4
16
(HELP PLEASE!!!)
Answer:
the answer is 5
Step-by-step explanation:
When simplified, which of the following expressions has a coefficient of 5?
-4x - 9x
-4x + 9x
4x - 9x
4x - (-9x)
please help
Answer:
It would be -4x +9x
Step-by-step explanation:
-4 +9 is 5 so they combine since they are like terms. Therefore the coefficient would be 5.
what are the solutions to the equation |2x+8|-14?
Answer:
Step-by-step explanation:
Factor out the common term 2.
|2(x+4)|-14∣2(x+4)∣−14
a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why
answer and i’ll make your brainliest
Answer:
yes it will be able fit through
Step-by-step explanation:
simply divide 2197 and 3 because you need to multiply 3 number to get volume. For this you divide by 3. you should get 732 ft. This is the height. It will be more than enough to fit through
the tens digit is two less than the ones digit and sum of the digits is 8.
Answer:
35
Step-by-step explanation:
Find the length of a rectangular lot with a perimeter of 144 m if the length is 6 m more than the width. A. 72m B. 39 m
C. 33 m
D. 78 m
Answer:
Correct Answer is B
39 m
Step-by-step explanation:
Perimeter is the sum of all sides, and if the length is 6m more than the width, then is 39
39 + 39 = 78
144 - 78 = 66
66/2 = 33
39m is 6m more than 33m.
The sum of all sides 39 + 39 + 33 + 33 = 144
Evaluate -8 - 21.
-10
-16
16
10
Answer:
Evaluate -8 - 21.
-10
-16
16
10
can someone please help me?? i’ll make you a brainliest.
Answer:
-4/1
Step-by-step explanation:
Answer:
i;m pretty sure your answer is -4/1
Step-by-step explanation:
i hope this helped you
Henry has a faulty watch. It is losing minutes every day. How many minutes will be lost after 7 days?
A.
21 minutes
B.
10 minutes
C.
3 minutes
D.
34 minutes
Answer:
A: 21 minutes
Step by step explanation:
If he loses 3 minutes everyday then it would be A because 7 days times 3 minutes he loses everyday equals 21 minutes.
Function f gives the temperature, in degrees Celsius, t hours after midnight. Choose the equation that represents the statement: “At 1:30 p.m., the temperature was 20 degrees Celsius.” Group of answer choices f (1:30) = 20 f (1.5) = 20 f (13:30) = 20 f (13.5) = 20
Answer:
D.
Step-by-step explanation:
The function f gives the temperature in degrees Celsius t hours after midnight.
Therefore, for the temperature at 12:00 AM (exactly midnight), we will have f(0).
For 1:00 AM, 1 hour after midnight, we will have f(1).
And for 12:00 PM (noon), we will have f(12).
We want to find the equation that represents the temperature at 1:30 PM.
1:30 PM is 13.5 hours after midnight or 1.5 hours after noon.
Therefore, the correct statement would be:
f(13.5)=20.
Hence, our answer is D.
Notes:
A and C are not correct because we do not use a colon for function notation. We input numerical values, not time.
Answer:
d
Step-by-step explanation: