Answer:
154
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 = 7 and d = 10 - 7 = 3 , thus
a₅₀ = 7 + (49 × 3) = 7 + 147 = 154
The width of a rectangle is its length. The perimeter of the rectangle is 300 ft. What is the length, in feet, of the rectangle?
Answer:
It's simple. All you need to do is subtract 2 from 40.
Length: 40 ft
Width: 38 ft
Hopefully that helped! :)
Step-by-step explanation:
Consider the equations shown: ax + by = ab & 2ax + 3by = 3b
Which of these is the value of y in terms of a?
Option 1 : y = 3a – 35
Option 2 : y = 2ab – 3b
Option 3 : y = 9a – 35
Option 4: y = 3 – 2a
Answer: [tex]y=3-2a[/tex], Option 4
Step-by-step explanation:
[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]
multiply 2 at [tex]ax+by=ab[/tex]
[tex]2ax+2by=2ab[/tex]
subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]
[tex]by=3b-2ab[/tex]
[tex]y=3-2a[/tex]
Explain how to use the distributive property to find an expression that is equivalent to 20 + 16
Answer:
What you need to do is to find a multiple of 20 and 16 in other words a number that can multiply into 20 and 16. You have 2 and you have 4. So now this is how it looks like.
Either:
4(5+4) Or
2(10+8)
Step-by-step explanation:
Nathan goes to the store and buys 4 shorts and 3 shirts for 85.5$. He later goes to the same store and buys 3 shorts and 5 shirts for 115$. What is the price for each shirt and each shorts?
solve the equation
-4(x - 26) = -200
Answer:
x=76
Step-by-step explanation:
-4(x - 26) = -200
x-26=50
x=50+26
x=76
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Step-by-step explanation:
-4x+104=-200
-4x=-200-104
-4x=-304
x=-304÷(-4)
×=76
Which line below is parallel to the line that y = 1/2x - 2?
A) y = 1/2x + 2
B) y = -1/2x + 2
C) y = 1/2 - 2x
D) y= 1/2 + 2x
Answer:
The answer is b
Step-by-step explanation:
Bc it is just basicly the x and y axis
solve for b and simplify -17=-3/2b
Answer:
b = 34/3
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-17 = -3/2b
Step 2: Solve for b
Rewrite: -3/2b = -17Divide both sides by -3/2: b = 34/3Step 3: Check
Plug in b to verify it's a solution.
Substitute: -17 = -3/2(34/3)Multiply: -17 = -17fine the exact rationalized value of sin(25π/6)
CAN SOMEONE PLEASE HELP ME WITH GRAPHING THIS? AND PLEASE EXPLAIN HOW TO GRAPH IT
there is a certain number. If you add 30 7 to it, then subtract 22 7 from the previous result, and then subtract that difference from 59/7, after that you will get 19 7. What is a certain number?
Step-by-step explanation:
59 / 7 - ( x + 30 / 7 - 22 / 7 ) = 19 / 7
59 / 7 - ( x + 8 / 7 ) = 19 / 7
59 / 7 - x - 8 / 7 = 19 / 7
- x = 19 / 7 - 59 / 7 + 8 / 7
- x = - 32 / 7
x = 32 / 7
90 POINTS! PLEASE HELP!
Select the correct answer What is the solution for x in the equation 5/3 * x + 4 = 2/3* x Ο Α x = 12/7 OB B. x = -4 OC 12/7 OD x = 4
x=-4 hope it helps! good luck
if you earn $35 in 5 hours, how much money will you earn in 17 hours? how much will you earn in 1 hour?
Answer:
$119, $7.
Step-by-step explanation:
First, we need to find the unit rate of pay, in dollars.
Divide $35 by 5 to get $7 per hour.
Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.
By doing this, we get the answer: $119.
Hope this helps! Let me know.
On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.
123
5
→
3
8
→
Martin's friend bought about
pounds of grapes.
Answer:
The answer is 123
5
→
✔ 12 1/2
3
8
→
✔ 1/2
Martin's friend bought about
✔ 6 ¼
pounds of grapes.
The number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
What is fraction?Fractions are used to represent smaller pieces (or parts) of a whole.
Given the information that Martin bought 12 3/5 pounds of grapes for a picnic, while his friend bought 3/8 of that amount.
Therefore, the amount that his friend bought will be:
= 3/8 × 12 3/5
= 3/8 × 63/5
= 189/40
= [tex]4\frac{29}{40}[/tex]
Hence, the number of pounds of grapes that are bought will be [tex]4\frac{29}{40}[/tex] pounds.
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A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.
Answer:
8 meters
Step-by-step explanation:
This means that the shadows at this time is twice as tall as normal.
4*2=8
Luka's shadow is 8 meters tall.
True or False: A system of two equations in two variables whose graphs are a parabola and a circle can have four real ordered-pair solutions.
The parabola can intersect the circle four times as the graph shows below. Each intersection point is a solution in the form (x,y).
Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent the total number of inches of water in the rain-catcher after x days. Express the equation in the form of y=mx+b .
Answer:
y= 3x + 8
Step-by-step explanation:
y = mx + b
m = 3 inches of water added each day
x = 8 inches of water at start
y= 3x + 8 is the required equation.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.
We have,
m = 3 inches of water added each day
x = 8 inches of water at start
Converting in y = mx + b, we get,
y = 3x+8
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Simplify 7 +(-3). (1 point)
Answer:
4
Step-by-step explanation:
7-3=4
Answer:
7-3=4
Step-by-step explanation:
Im not quite sure if this is what you were asking for but here
8 1/4 pounds of flour are used to make 4 1/8 papier-mâché pasta recipe how much flour is used in one recipe
Answer:
1/6
Step-by-step explanation:
ive seen that question b4
2 pounds of flour are required to make 1 recipe, as of the given condition.
Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.
Thus, 2 pounds of flour are required to make 1 recipe, as of the given condition.
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A pound of chocolate costs 8 dollars. Lamar buys p pounds. Write an equation to represent the total cost ċ that Lamar
pays.
Answer:
8p=c
Step-by-step explanation:
The number of pounds Lamar buys multiplied by the cost of a pound which is 8 equals c. 8p=c
pls give the answer
Answer:
It should be 245 m
Step-by-step explanation:
Separate it like this:
chop of the rectangle part and find the area of that and then add it to the trapezoid part
10*20 = 200.
Area of a trapezoid = 5+10/2 *6.
5+10 = 15. 1
5/2 = 7.5.
7.5*6 = 45.
45 + 200 = 245
P=50 L=? B=15 find ?
Answer:
40
Step-by-step explanation:
A=5
mhdyudpsitsyooatost
The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books
Answer:
22 cm
Step-by-step explanation:
Start off by multiplying the number of pages by the thickness.
200*0.008=1.6
Add the thickness of the front and back cover.
1.6+0.6=2.2
Multiply by 10.
2.2*10=22 cm
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,
The thickness of a single book
= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)
= (2 × 0.3cm) + (200 × 0.008cm)
= 2.2 cm
Now, the thickness of 10 books will be,
The thickness of 10 books = 10 × the Thickness of a single book
= 10 × 2.2 cm
= 22 cm
Hence, the height of the 10 stacks of books is 22cm.
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What is the square root for this numberZ
A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
y = negative three-fourths x minus 3
y = negative three-fourths x minus 6
y = negative 3 x minus three-fourths
y = negative 6 x minus three-fourths
Answer:
Option A
Step-by-step explanation:
The equation of line is
Solution:
Given that line passes through the point (4, –6) and has a slope of Negative three-fourths
Given point is (x, y) = (4, -6)
The equation of line passing through point (x, y) and slope "m" is given as:
y = mx + c ----- eqn 1
Where "m" is the slope of line and "c" is the y - intercept
Substitute (x, y) = (4, -6) and in eqn 1
The required equation of line is given as:
Thus the equation of line is found
Answer:
a
Step-by-step explanation:
Juan has a piano recital next month. Last week he practiced for 12 hours in the morning and 14 hours in the afternoon. Each practice session is 3 hours long. How many full practices did Juan complete
Answer:
8 full practice
Step-by-step explanation:
Given that :
Morning Practice hours Total = 12 hours
Afternoon practice hours total = 14 hours
practice length = 3 hours
Hence, Number of full practices attended :
practice hours / practice length
Morning : 12 / 3 = 4 practice sessions
Afternoon = 14 / 3 = 4.666 sessions
Hence, number of full practice completed = 4 + 4 = 8
Answer:
hope this helps .enjoy the rest of your day.
Which expression is equivalent to 9q2-(3q - 7) +5q??
) ?
3
[tex]9q^2-(3q - 7) +5q= \\\\=9q^2-3q + 7 +5q= \\\\=9q^2+2q + 7[/tex]
On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?
Answer:
yes
Step-by-step explanation:
l,l,;,;,;,;l,;,;
find the area of the figure. (sides meet at right angles.) 2m 2m 2m 2m 3m 7m 7m 7m
Mrs. Wally cut a 21 foot long ribbon into four equal lengths. How many feet long was each length of ribbon
the answer is:
Each equal length of ribbon is 5.25 ft
Step-by-step explanation:
21 divided by 4 is 5.25
To find the number of distributed quantities division operator is used. Each length of ribbon was 5.25 foot long.
What is division ?Division is a mathematical operation used to divide a number into equal parts. When a number is divided by another number, a quotient and remainder is obtained.
Given length of ribbon = 21 foot
Number of parts it has to be divided = 4.
So, to get the length of each part divide the total length by 4.
Thus, the length of each part is 21/4 = 5.25 foot.
Hence, the length Mrs. Wally' s each ribbon is 5.25 foot.
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find the circumcenter
Answer: (0, -2)
Step-by-step explanation: