Answer:
Sum of the first 70 terms is 12,775
Step-by-step explanation:
For the 9th term, the formula is;
a + 8d = 50
For the 12th
a + 11d = 65
Subtract this from the equation above;
3d = 15
d = 15/3 = 5
To get a, we have a + 8(5) = 50
a = 10
The 70th term
will be
a + 69d
= 10 + 69(5)
= 355
Sum of the first 70
= n/2(a + L)
= 70/2( 10 + 355)
= 35 * 365 = 12,775
John is twice as old as Mary. The sum of their ages is 21. How old is Mary?
Let J = John's age and M = Mary's age. Select the system equations that represents the problem.
J - 2M = 0
J = M + 2
M - 2J = 0
J + M = 21
Answer:
Mary is 7
Step-by-step explanation:
If their ages combined equals 21 and john is twice Mary’s age then johns age takes up 2/3 of 21. that would b 14. 14 is 2 x 7. and Mary is 7. 14+7=21. Mary is 7 years old
Correct answers are:
J + M = 21
J - 2M = 0
A pizza dlivery car can travel 11 km for every gallon of gasoline it uses. If the driver's average speed is 28 km/h, how many hours can the driver travel before emptying a full 35 gallon gas tank?
Answer:
13.75 hours
Step-by-step explanation:
First, find how many km the driver can travel:
11(35)
= 385
Then, divide this by 28 to find how many hours the driver can travel:
385/28
= 13.75
So, the driver can travel 13.75 hours
Please help!
Fill in the blank.
(4/5)×(5 1/2) = ___ / 5×12
Answer:
115.2
Step-by-step explanation:
First we make an equation and replace blank with x.
Look at photos to see solution.
The cost for each soda is $2.25. If your friend Calvin buys a certain number of Coca-Colas (c) and Mountain Dews (m), which answer choice shows an expression that represents the total cost of the Coca-Colas and Mountain Dews that Calvin bought?
Answer:
2.25(c+m)
Step-by-step explanation:
Z is..? The problem is attached as a png!
Answer:
Step-by-step explanation:
What i would do is multiply both sides by 2z + 1
so you get z-6=20z+10
-19z=16
z=-16/19
Answer:
z is every integer and the study of z and its properties is a general understanding save the satisfying of your rate of change
A pitcher ok a baseball team is practicing his fast ball trying to ensure he hits the strike zone. He consistently releases the ball 3.4 feet high while he is pitching. The pitcher must aim for the ball to hit the ground approximately 58.8 feet from the pitcher's mound in order to stay in the strike zone. At what angle of depression, to the tenth of a degree, must he release the ball
Answer:
3.3°
Step-by-step explanation:
The set up of the question will give a right angled triangle where the height covered by the bal is the opposite side.
The length at which the pitcher hit the ground is the hypotenuse.
Given
Opposite side = 3.4m
Hypotenuse = 58.8m
Required
Angle of depression
Using SOH CAH TOA trigonometry identity
According to SOH,
Sin(theta) = opposite/hypotenuse
Sin(theta) = 3.4/58.8
Sin(theta) =0.05782
theta = sin^-1(0.05782)
theta = 3.32°
Hence the angle of depression that he must release the ball to nearest tenth is 3.3°
what is the answer to (x+3)^2 +(y-6)^2
Answer:
1the answer is 1! hope this helps.
The answer is x^2+ y^2-27
Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct
Answer: no Tony is not correct It is less than 5 hundred dollars.
Step-by-step explanation: 8×37=296 +200 = 496
Answer:
38
Step-by-step explanation:
The solution to the inequality is x Greater-than-or-equal-to 37.5.
For this situation, only whole number solutions make sense.
Tony needs to round up to 38.
For a craft each student will need five rubber bands.There.There are eight students.Rubber bands come in bags of nine. How many will be needed?How many rubber bands will be left over?
Answer:
40 rubber bands are needed
5 rubber bands will be left from 5 bags of of rubber band
Step-by-step explanation:
Each student will need five rubber bands.
There are eight students
Total rubber bands needed = rubber bands per student × number of students
= 5 × 8
= 40
Total rubber bands needed = 40
Rubber bands come in bags of nine.
Number of bags needed = Total rubber bands needed / number of rubber bands in each bag
= 40 / 9
= 4.44 bags
It is impossible to get decimal number of rubber bands bag, so, the next whole number after 4 is 5
5 rubber bands bags will be bought which = 5 × 9
= 45 rubber bands
Only 40 rubber bands are needed
Left over rubber bands = 45 - 40
= 5 rubber bands
anyone please help me
Answer:
D
Step-by-step explanation:
The perpendicular equation can be found by getting the reciprocal of the slope then multiplying it by -1. The slope is the "m" value of y=mx+b; in this case, the slope is [tex]\frac{2}{5}[/tex].
To find out if it is C or D, you plug in the x value given in the equation (2) and see if it equals the y value given in the equation (-2). C is incorrect, which means that D is correct.
Answer:
The answer is D
Step-by-step explanation:
Pls I need help with this
Answer: Yes
The answer is:
Yes, both of this is equivalent.
Step-by-step explanation:
For the reason and solution, here:
1) 4x+6/2+3=
Factor: 2(x+3)Simplify: 2x+62) 4x+9=
This cannot be factored or simplified.For me, these two is equivalent because "4x+9" equivalent is 2x+6 and this is the same if you simplified 4x+6/2+3 so for me, the answer is yes.
Hope this helps and if you could mark this as brainliest. Thanks!
I’ll mark brainliest please help!
Answer:
4x + 2 = 30
Step-by-step explanation:
To find the perimeter of a triangle, add up the length of all three sides of the triangle.
Here, the sides of the triangle are "x+6", "x+6", and "2x-10". When you add up all three sides of the triangle, it should be equal to the perimeter, 30. So:
(x+6) + (x+6) + (2x-10) = 30
We can simplify this equation:
(2 * (x+6)) + (2x-10) = 30
2x + 12 + 2x - 10 = 30
4x + 2 = 30
Answer D: 4x + 2 = 30
Jake walked all the way around the perimeter of a square playground that has sides n feet long, then he walked an additional 20 feet. Which person walked the same distance as Jake?
Options :
Sarah, who walked a straight distance of n+10 feet.
Nancy, who walked around a square garden measuring n+5 feet on each side.
Jules, who walked around a rectangular room measuring n feet wide and 10 feet long.
Billy, who walked around a square lot measuring 20 feet on each side
Answer:
Nancy, who walked around a square garden measuring n+5 feet on each side.
Step-by-step explanation:
Given that:
Jake walked round the perimeter of a square with sides n feets long
Additional distance walked = 20 feets
Perimeter of a square = 4n
Where n = Length of the side
Hence Jake's total distance :
Perimeter walked + additional distance
4n + 20 feets
Comparing to Distance walked by Nancy:
Side length of square garden = n+5
Perimeter of the garden = 4 * side length
Perimeter of the garden = 4 * (n + 5)
Perimeter of the garden = 4n + 20 feets
Hence, Nancy walked the same distance as Jake
Find the value of x.
Answer:
x = 29
Step-by-step explanation:
The two labeled angles are same-side interior angles of parallel lines cut by a transversal. They are supplementary, so their measures have a sum of 180 deg.
2x - 10 + 4x + 16 = 180
6x + 6 = 180
6x = 174
x = 29
Five cubic meters of copper has a mass of 44,800 kilograms. What is the density of copper?
Density = mass / volume
Density = 44,800 kg/ 5m^3
Density = 8,960 km/m^3
express 50 1/4 in simplest radical form
Answer:
Step-by-step explanation:
This is just an improper fraction when done.
numerator: 50*4 + 1 = 200 + 1 = 201
denominator: 4
Answer: 201/4
are these equal or not equal?
a. 18/36 _____ 1/2
b. 13/15 _____ 7/10
c. 3/5 _____ 5/9
d. 3/8 _____ 10/16
Answer:
a. is equal.
Step-by-step explanation:
18+18 is 36 and 1+1 is 2. the other questions are not equal.
Hope this helps!
Answer
18/36 = 1/2
13/5 > 7/10
3/5 > 5/9
3/8 < 10/16
A landscaper installs 12 sections of the trellis. Each section of the trellis is 0.75 yards long. How many yards of the trellis are installed altogether?
Answer:
9
Step-by-step explanation:
you would do .75*12 because there are 12 stories and each one is .75 yards long, so to get all together, you do 0.75*12
Sorry im in a hurry
Suppose your community has 3580 people this year. The population is growing 2.5% each year. a. Write an exponential function to model the population. b. What will the population be in 3 years? c. Graph the function and give the domain and range.
Answer:
Step-by-step explanation
sadly i dont understand
help ill give you brainliest
A shipping company charges a $3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds. . George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping. What is the maximum number of pounds that this package could be? The Maximum number of pounds is
Answer:
32 pounds
Step-by-step explanation:
$3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds.
The first step would be to derived an equation
$3 + $0.75
3 + 0.75x
Where x = number of pounds
George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping.
Hence,
3 + 0.75x = 27
0.75x + 3 = 27
0.75x = 27 - 3
0.75x = 24
x = 24/0.75
x = 32 pounds
The maximum number of pounds that this package could be is 32 pounds
Do Now:
Mona tried to
solve the
system by
graphing:
x + y = 6
2x - y = 6
What was
Mona's
mistake?
Based on her
graph (shown)
Mona thinks
the solution is
(0,6).
Answer:
Mona's Mistake: Well, Mona tried to graph something not yet solved.
She should have solved the problems.
x+y=6 Solved is y=-x+6
and
2x-y=6 Solved is y=2x-6
I have also graphed these two points for you, and they intersect at (4,2)
Have a beautiful day, and stay safe.
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 is a question that deals with Proportion
Height of flagpole/Shadow of flagpole = Height of Luke/Shadow of Luke
Length of the shadow of Luke = x
= 12/24 = 4/x
We cross Multiply
12 × x = 24 × 4
x = 24 × 4/12
x = 8 meters
Hence, the length of the shadow of Luke = 8 meters
Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?
Answer:
10
Step-by-step explanation:
(12 + x0.5) <= 17
please solve this math problem look at the screenshot
Answer:
D
Step-by-step explanation:
A graph represents a function of x when it passes the vertical line test. That is, no x values map out to more than 1 y value.
Therefore, D is the only function of x.
what is this?? i’ve been stuck on this for so long.
Answer:
i say ACD
Step-by-step explanation:
quadrilaterals are shapes with 4 sides.
parallelograms are shapes that have parallel sides.
Answer:
the answer is rhombus and rectangles
Step-by-step explanation:
Which scatterplot would have a trend line with a negative slope?
what’s 15/25 in its simplest form?
Answer: 3/5
Step-by-step explanation: Just divide both by 5.
2(2x+2)=7x+2-3x+2
solve
Answer:
All real numbers make this answer true: so x= all real numbers
Step-by-step explanation:
please help me this is for algebra 1 the correct answer ill give brainly!
Answer:
1/2x is m and 3 is b
Step-by-step explanation:
y= 1/2x +3
The formula would be MX+B.
so the slope which is m would be 1/2
and the +3 part would be the y intercept
because it's in the slope intercept form