Answer:
See answers below
Step-by-step explanation:
T59 = a+58d = -61
T4 = a+3d = 64.
Subtract
58d-3d = -61-64
-55d = -125
d =125/55
d = 25/11
Get a;
From 2
a+3d = 64
a+3(25/11) = 64
a = 64-75/11
a = 704-75/11
a = 629/11
T23 = a+22d
T23 = 629/11+22(25/11)
T23 = 1179/11
the relationship between two variables a and b is proportional. when a is 3 b is 25.5. write an equation to represent this relation
The answer is y = 8.5x
explanation is in the picture.
hope it helps.
Answer:
y= 8.5x
Step-by-step explanation:
One-third of a number added to itself equals 3 times the difference of the number and seven.
Answer:
Step-by-step explanation:
Do this step by step.
Let the number = x
1/3 of a number = 1/3 x
Added to itself 1/3x + x
=
3*(x - 7)
So the equation is
1/3x + x = 3(x - 7) Remove the brackets. Collect 1/3x and x
4/3 x = 3x - 21 Multiply both sides by 3.
4x = 3*(3x - 21) Remove the brackets again
4x = 9x - 63 Subtract 9x from both sides
-5x = -63 Divide by -5
x = -63/-5
x = 12.6
Pl help it’s for a grade
Answer:
c
Step-by-step explanation:
I am having trouble on figuring out how to write this out to solve it.
The domain is (-infinity,1)(1, infinity) or {x|X=/1} the dash goes through the equal sign
the formula may be h^2x h squared x for expanding using sum/difference
Select the correct option from the menu.
Raj determined that the equation 3 (x+3) = 8x - 5x +7 is equivalent to 9 = 7. This means that this equation has:
no solutions
One solution
Two solutions
Infinity many solutions
Find the area of the composite figure below.
2 ft
2 ft
6 ft
4 ft
8 ft
22 ft2
30 st²
36 ft²
38 ft
Answer:
A = 139.25
Step-by-step explanation:
Hurry I need it done quickly and correctly don't comment if you don't know it
1. Consider two forests that are proportional with respect to the number of trees per square mile. If one forest has 1,446 trees per 0.7 square miles, how many trees should we expect in a forest that is 4 square miles? Round to a whole number, if needed.
2.Washington State University graduated a total of 16,856 students. Of all the students, only 7.0% were majors in chemistry. How many students majored in chemistry? Round to a whole number, if needed.
3.The number of early voters for the 2020 election was 132.5% of what it was in 2016. How many early voters were there in 2020 if there were 58,300,000 early voters in 2016? Round to a whole number of voters.
4.At a conference, there is a food table setup with 459 sandwiches. Of all the sandwiches, only 76 are turkey. What percent of sandwiches are turkey? Round to a tenth of a percent.
5. Which of the following is equivalent to the ratio 5?
0.2
5 to 1
1:5
1/5
Answer:
1. 1,446 trees 16,856 square miles
2. 99.99% 16,856 students were passed
3. 58,300,000 early voters in 2016 202.5% to 2020
4. 459 sandwiches swith to 500 sandwishes 76 turkeys to 80 turkeys is 580.80% turkeys
5. 1/5 to 5 to 1 to 1:5 right? please dont report me
Cranberry juice is made with a 16:3:1 ratio of water:sugar:cranberries. How much water,
in gallons, how much water is needed in order to make three gallons of cranberry juice? Express your answer as a
common fraction.
Answer:
2 2/5
Step-by-step explanation:
We need to find out how many gallons of water so,
16/20 = water
3 gallons * 16/20 = 48/20 = 2 8/20 = 2 2/5
this works because then cranberries would be:
2 2/5/16 = 15/100
and for sugar that means
15/100 * 3 = 45/100
so in total
2 40/100 + 45/100 + 15/100 = 3 gallons
and if we simpilfy 2 40/200 we get 2 2/5
State weather ABC and AED are congruent. Justify your answer
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-4,-2);
y = 2.c + 6
y = -32 – 14
Yes
No
O Maybe
Answer:
Yes
(-4,-2) is a solution of a given system of equation
Step-by-step explanation:
Explanation:-
Given that the equation
y = 2 x + 6 ..(i)
Given point (-4,-2)
substitute x =-4 and y = -2 in equation (i)
-2 =2(-4) +6
-2 = -8+6
-2 =-2
∴ The point satisfies the given equation
10. Alice Nako's monthly credit card statement has a previous balance of
$307.85. It shows Alice's $40.00 payment. This month's new purchases
were $9.50 and $41.75. The account posted a $23.75 credit, and the
finance charge is $4.62.
what is the new balance ?!
the product of the present ages of Two Sisters is 150. 5 years ago, the elder sister was twice as old as her younger sister find their age
The younger sister is 10 years old and the elder sister is 15 years old.
Let's represent the present ages of the two sisters as x and y, where x is the age of the elder sister and y is the age of the younger sister.
According to the given information, the product of their present ages is 150:
x * y = 150 ---(1)
It is also stated that 5 years ago, the elder sister was twice as old as her younger sister:
x - 5 = 2 * (y - 5) ---(2)
We can now solve these two equations simultaneously to find the ages of the two sisters.
From equation (2), we can simplify:
x - 5 = 2y - 10
x = 2y - 10 + 5
x = 2y - 5
Substituting this value of x into equation (1), we have:
(2y - 5) * y = 150
2y^2 - 5y = 150
2y^2 - 5y - 150 = 0
Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. By factoring, we find:
(2y + 15)(y - 10) = 0
This gives us two possible solutions for y:
2y + 15 = 0 --> y = -7.5 (Discard this since age cannot be negative)
y - 10 = 0 --> y = 10
So, the younger sister is 10 years old.
To find the elder sister's age, we can substitute this value of y into equation (2):
x = 2y - 5
x = 2 * 10 - 5
x = 20 - 5
x = 15
Therefore, the elder sister is 15 years old.
for such more question on ages
https://brainly.com/question/9142477
#SPJ8
Which of the following equals sin A?
Ignore my answer.
Answer:
You are correct it is A. cos B
Step-by-step explanation:
Cindy drives her car 25 miles from her workplace to her home. The trip takes 1/2 hour. What is her unit rate in miles per hour?
Answer:
Unit rate = 50m/h
Step-by-step explanation:
Distance = 25 (x2) = 50 ( basically make the den 1 and wht
Time = 1/2 hr (x2) = 1hr u do to den do to num)
Unit rate = 50m/h
Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation. t2 (dy/dt) + y2 = ty
Answer:
Step-by-step explanation:
[tex]t^2 \dfrac{dy}{dt}+ y^2 = ty \\ \\ t^2 \dfrac{dy}{dt}-ty = -y^2[/tex]
[tex]\text{by dividing both sides by }{y^2},\text{ we have:}[/tex]
[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- \dfrac{ty}{y^2}= -1[/tex]
[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- t\dfrac{1}{y}= -1[/tex]
[tex]\text{by dividing both sides by }t^2; \text{we have;}[/tex]
[tex]\dfrac{1}{y^2}\dfrac{dy}{dt}- \dfrac{1}{t}\dfrac{1}{y}= -\dfrac{1}{t^2}--- (i)[/tex]
[tex]Let \ v = \dfrac{1}{y}[/tex]
[tex]\dfrac{dv}{dt}= -\dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]
[tex]-\dfrac{dv}{dt}= \dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]
[tex]\text{replace in equation (1); we have}[/tex]
[tex]- \dfrac{dv}{dt}-\dfrac{1}{t}v = -\dfrac{1}{t^2}[/tex]
[tex]- \Big ( \dfrac{dv}{dt}+ \dfrac{1}{t}v \Big) = -\dfrac{1}{t^2}[/tex]
[tex]\dfrac{dv}{dt}+\dfrac{1}{t}v = \dfrac{1}{t^2}[/tex]
[tex]\text{relating above with} \dfrac{dv}{dt}+ P(t) v = Q(t) \text{, we have:}[/tex]
[tex]P(t) = \dfrac{1}{t} \ \ \ , \ \ \ \ Q(t) = \dfrac{1}{t^2}[/tex]
[tex]\mu (t) = e^{\int P(t) \ dt }= e ^{\int \dfrac{1}{t} \ dt}= e^{In|t|}= t[/tex]
[tex]v\mu(t) = \int \mu(t) Q(t) dt + C[/tex]
[tex]vt = \int (t) (\dfrac{1}{t^2})dt + C[/tex]
[tex]vt = \int \dfrac{1}{t}dt + C[/tex]
[tex]vt = Int+C[/tex]
[tex]v = \dfrac{In \ t + C}{t}[/tex]
[tex]\text{substitute } v = \dfrac{1}{y}}, we \ get}[/tex]
[tex]\dfrac{1}{y}=\dfrac{In \ t +C}{t}[/tex]
[tex]\mathbf{y = \dfrac{t}{In \ t + C}}[/tex]
The floor in the room is 4.5m long and 3.1m wide. Calculate the area of the floor
Answer:
13.95 metre square
Step-by-step explanation:
The measurements you gave are different. Hence it concludes that the floor is rectangular in shape.
Sooo,
Area of rectangle = length x breadth
= 4.5×3.1 = 13.95 m^2
Hope it helped!!!
4 - 2/8 =
what is 4 minus a fraction of 2/8 equal to?
Answer:
= 15/4
Step-by-step explanation:
en un día de trabajo una pastelería ha producido 100 pasteles, de los cuales (2/5 en fracciones) tienen crema y (1/4 en fracciones) de la producción de pasteles no tiene crema y el resto son díbeticos ¿cuantos pasteles hay para diabéticos?
tfyhgbuhbj tctf ybubbimihbighv no
Step-by-step explanation:
tdcvyvj j ct ruv yo bb. v
MATH HELP ME NOWWWWWWWWWWWWWWWW
Answer:
part A maybe
Step-by-step explanation:
3/4+1/8 =7/8
part B
5/8 cups
(05.07 MC)
The net of a square pyramid is shown below
3 inches
2 inches
3 inches
2 inches
What is the surface area of the solid?
16 square inches
24 square inches
28 square inches
Previous Question
Question 1 (Answered)
Answer:
16 2x3 divided by 2 x4=12 + 2x2=16 I think hopefully this helps :)
1. Each letter in VALENTINE is written on a separate piece of paper and put into a bag.
You randomly choose a piece of paper from the bag. Find the probability of choosing an
E
Answer:
2/9
Step-by-step explanation:
two e with a total of 9 letters
Find the Perimeter and Area
Answer:
Area = 20.28 cm^2
Perimeter = 16.28 cm
Step-by-step explanation:
The figure is composed of a half circle and a rectangle,
The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.
Therefore the area is :
Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2
The perimeter is :
Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm
Encontrar la media, mediana, moda y rango de los siguiente valores:
84,91, 72,68,87, 78,65,87,79.
Answer:
La mediana es 79 la moda es 87 la media 87 y él rango es 26
Step-by-step explanation:
Espero te ayude ;)
The mode, median and the range are 87, 79 and 26 respectively
Given the data 84,91, 72,68,87, 78,65,87,79., we are to get the median, mode, and range of the data.
The mode is the number that occurs the most from the given data. Since 87 occurs twice, hence the mode is 87The median is the number in the middle after arrangement. On arranging, we will have:
65, 68, 72, 78), 79, (84, 87, 87, 91
From the data, we can see that the median value is 79Range = Highest - lowest
Range = 91 - 65
Range = 26
Hence the range of the data is 26Learn more on measure of central tendency here: https://brainly.com/question/17726154
sin∅=24/25, find the cos
Answer:
θ=2πn1 + arcsin(24/25), n1 ∈ Z or θ=2πn2 +π−arcsin(24/25) , n2 ∈ Z
Step-by-step explanation:
Hope this helps
Step-by-step explanation:
sin A = 24 / 25
as we know that :
sin ² A + cos ²A = 1
cos ²A = 1 - sin²A
cos ²A = 1 - ( 24/25) ²
cos² A = 1 - 576 / 625
cos ²A =. 625 - 576 / 625
cos ² A. =. 49 / 625
cos A =. √ 49/ 625
cos A = 7 / 25
plz mark my answer as brainlist plzzz .
I hope you will find it useful .
plz it took a really great effort .
This is mathemiatci can you hep
Answer:
81-x=96-2x
x=15
m <1 = 66
m <2 = 66
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME!!!!!!!!!
Answer:
12(m +1) > 18m - 3
12m + 12 > 18m - 3
12+3 > 18m - 12m
15 > 6 m.
m < 15/6
m < 2.5
4th option is correct.
Answer:
{m| m < 2.5}
Step-by-step explanation:
m < 2 1/2,m < 2.5 , m ∑ [-∞, 5/2]
hope that helped!
HELP!! Will mark brainliest!! Which of the following will have a remainder of 8 when divided by (x + 1)?
Answer:
D
Step by step explanation
Use synthetic division to solve. Final ending answer is [tex]3x^{2} +4x-9+\frac{8}{(x+1)}[/tex]
please help me asap!!
Answer:
1 square unit
Step-by-step explanation:
its easy
1 * 1 = 1
Nick, Sarah and Gavyn share some sweets in the ratio 2:3:3. Nick gets 28 sweets. How many did Gavyn get?
Answer:
42 sweets
Step-by-step explanation:
28 / 2 = 14 x 3 = 42
Hope that helps!
plzzz help will give brainiest
select the most precise name of quadrilateral MNOP given the coordinates of M N O P
Answer:
Rhombus
Step-by-step explanation:
Sketching out the shape shows us that it is neither a square nor rectangle (alternatively, we could tell from the points since if it was a rectangle/square, there would be two sets of x co-ordinate values and y-co-ordinate values only).
Find the length of MN:
MN²=(Yn-Ym)²+(Xn=Xm)²
MN²=(4-1)²+(3-1)²
MN²=3²+2²
MN²=9+4
MN=√13
Find the length of MP:
MP²=(Yp-Ym)²+(Xp-Xm)²
MP²=(3-1)²+(4-1)²
MP²=2²+3²
MP²=4+9
MP=√13
Since the side lengths are equal, the shape must be a rhombus.
