Answer:
Step-by-step explanation:
t5 = a + (5-1)d
t5 = a + 4d
40 = a + 4d
t3 = a + 2*d
t7 = a + 2d + 28 = a + 6d
Start with the seventh term which has 2 equal answers
a + 2d + 28 = a + 6d Subtract a from both sides
2d + 28 = 6d Subtract 2d from both sides
28 = 4d Divide by 4
28/4 = d
d = 7
==================
t5 = a + 4d = 40
a + 4*7 = 40
a = 40 - 28
a = 12
===================
First term is 12
10th term is
t10 = 12 + (10 - 1)*7
t10 = 12 + 9*7
t10 = 75
Interesting question. Thanks for posting
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9
minutes. How long would it take for the pool to be completely drained? (1 point)
Answer: 35 minutes
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
Four tenths of a number increased by the second number equals 19. One tenth of the first number decreased by the second number is equal to 1. What are the two numbers?
Answer:
The two numbers are 40 and 3
Step-by-step explanation:
Assume that the first number is x and the second number is y
∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4
∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1
∵ Four tenths of 1st number increased by the 2nd number equals 19
∵ The 1st number = x and the 2nd number = y
∴ 0.4x + y = 19 ⇒ (1)
∵ One tenth of the 1st number decreased by the 2nd number is equal to 1
∴ 0.1x - y = 1 ⇒ (2)
Now we have a system of equations to solve it
→ Add equations (1) and (2) to eliminate y
∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)
∴ 0.5x + 0 = 20
∴ 0.5x = 20
→ Divide both sides by 0.5 to find x
∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]
∴ x = 40
→ Substitute the value of x in equation (1) or (2) to find y
∵ 0.4(40) + y = 19
∴ 16 + y = 19
→ Subtract 16 from both sides
∴ 16 - 16 + y = 19 - 16
∴ y = 3
∴ The two numbers are 40 and 3
HELP ME NOW HURRY ASAP PLEASE
Which of the following units are units of capacity?
A)ml
B)mm
C)tonne
D)mg
E)cl
F)kg
G)cm
H)km
I)m
j)g
K)l
Answer:
A, D, E, F, J, and L
Explanation :
These units can hold things!
Please help me 100 POINTS!
Answer:
1.y=3x
2.y=-3x+4
3.y=1.5x-7
4.y=7
5.y=-1.5x-4
Step-by-step explanation:
1.m=3,b=0
2.m=-3,b=4
3.m=1.5,b=7
4.m=0,b=7
5.m=-1.5,b-4
hope it helps po
Answer:
see below and attached
Step-by-step explanation:
y=3xm = 3
b = 0
y = -3x + 4m = -3
b = 4
y = -1.5x + 7m = 1.5
b = 7
y = 7m = 0
b = 7
y = -1.5x - 4m = -1.5
b = -4
Someone help we ASAP I will give Brainly
Answer:
A become less steep
Step-by-step explanation:
x+y=12
-x=-y-10
HELP thanks
do you have a picture or problem sentance that goes with that
whats the answer 1 2 3
Answer:
600
610
You would round it to 600
Explanation:
Since 602 doesn't pass the five, it goes down to 600
Diego has $12 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $84 and begins spending $3 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time?
After_______weeks both Diego and Lin will have_____dollars
Answer:
$72
Step-by-step explanation:
Answer:
After ten weeks both diego and lin will have 57 dollars
Step-by-step explanation:
need help i will mark brainliest
Answer:
sorry all I know is "C" is 30
Step-by-step explanation:
Answer:
t=15 k=320 p=30 j=39 r=22
A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it
Answer:
4y+5x=32
Use slope intercept form, then change to Ax+By= C form.
help find missing segment??
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let x as the missing segment.
_________________________________
According to the Thales theorem :
[tex] \frac{26}{x} = \frac{12}{36} \\ [/tex]
[tex] \frac{26}{x} = \frac{12}{12 \times 3} \\ [/tex]
[tex] \frac{26}{x} = \frac{1}{3} \\ [/tex]
Inverse both sides
[tex] \frac{x}{26} = \frac{3}{1} \\ [/tex]
[tex] \frac{x}{26} = 3 \\ [/tex]
Multiply sides by 26
[tex]26 \times \frac{x}{26} = 26 \times 3 \\ [/tex]
[tex]x = 26 \times 3[/tex]
[tex]x = 78[/tex]
Thus the missing segment has a measure of 78 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What is an equation of the line that passes through the points (3,4) and (−4,−3)? Put your answer in fully reduced form
Answer:
The equation of the line is y = x + 1
Step-by-step explanation:
The equation of the line is y = m x + b, where
m is the slope of the lineb is the y-interceptThe rule of the slope of the line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ The line passes through points (3, 4) and (-4, -3)
∴ x1 = 3 and y1 = 4
∴ x2 = -4 and y = -3
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{-3-4}{-4-3}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
∴ m = 1
→ Substitute it in the form of the equation above
∴ y = 1(x) + b
∴ y = x + b
→ To find b substitute x by 3 and y by 4 in the equation
∵ 4 = 3 + b
→ Subtract 3 from both sides
∵ 4 - 3 = 3 - 3 + b
∴ 1 = b
→ Substitute it in the equation
∴ y = x + 1
∴ The equation of the line is y = x + 1
Which statements must be true regarding the two
triangles? Check all that apply.
O ZM= ZM"
O ALMN – AL"M"N"
ALMN = AL"M"N"
The coordinates of vertex L" are (-3, 1.5).
The coordinates of vertex N" are (3,-1.5).
The coordinates of vertex M" are (1.5, -1.5).
Answer:
b
Step-by-step explanation:
its pretty simple if you look at it riggt
ill give brainlyest to whoever gets this question right
Answer:
C
Step-by-step explanation:
430 feet above sea level
Answer:
C. 430 feet above sea level
Can someone please help me?
Answer:
$2000
Step-by-step explanation:
The value of the savings account is
v(m) = 2000(1.005)^m
where m is the number of months.
Compare with the formula for compound interest,
F = P(1 + r)^(nt)
where P = principal amount invested.
Answer: $2000
Which inequality is graphed on the coordinate plane?
Answer:
E is the answer
Step-by-step explanation:
6) Which list shows how many equal-sized groups of 18 students Ms. Lee can make?
1, 2, 3, 4, or 6
7, 9, 14, 18, or 28
1, 2, 3, 6, 9, or 18
1, 2, 4, 7, 14, or 28
Answer:
1,2,3,6,9
Step-by-step explanation:
Got it right
Find the angle measure.
Angle E
Triangle ABC is an isosceles triangle. This means that base angles A and C are the same measure.
Triangle CDE is also isosceles. This means that angles C and D are the same measure.
The hatch marks shown in both triangles clearly indicate this fact of geometry.
So, if angle C is 40 degrees, C and D must be 70 degrees each because the sum of the angles in a triangle is 180 degrees.
Angle C = 70 degrees.
enter your answer as a number like this:42
You spin the spinner twice. Find the probability of spinning a 2 then a number greater than 2. ( 6 spaces)
Answer:
1/9
Step-by-step explanation:
You take 1/6 times 4/6 which equals 1/9.
Hope that helped! :)
Question 6 (1 point) Fossils are usually found in sedimentary rock. O True O False
Answer: true
Step-by-step explanation:
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?
Answer:
-24/12= -2
Step-by-step explanation:
Answer:
Its B
Step-by-step explanation:
If I'm wrong please tell me
Help is it b???????????????
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Vertically opposite angles are equal
(3x2)(−2x4) = 3(−2)x2∙4 = 6x8
Could you please find out what's wrong and say what should be there instead? The problem is : (3x to the power of 2 ) (-2x to the power of 4) = 3(-2)x to the power of 2.4 = 6x to the power of 8
Answer:
The correct answer is -6x⁶
Step-by-step explanation:
Given that:
[tex]3x^2 ( - 2x^4 ) \\ \\ =3(-2)x^{2.4} \\ \\ = 6x^8[/tex]
From the second step above, using the law of indices the correct format should be
[tex]= (3\times -2)x^{2+4}[/tex]
So, the problem lies where we have 2.4, it is not supposed to be (2*4). It supposed to be 2+4 because the law of indices states that we multiply the index together and add their power.
Then the result of that yields
= -6x⁶
In the third step, they also omit the negative sign, when multiplying (3 * -2).
Thus, the correct answer is -6x⁶
can you help me and explain how you got that answer also I only have 8-10 mins to finish this please help me
Answer:
I'm not sure on the first but the second is -32
and in the third 25,000 represents the starting value of the car.
WORK:
2:
h(-5)=(-5)^2 -7
h(-5)=-25-7
h(-5)=-32
In 56 years, Kevin will be 999 times as old as he is right now.
Answer:
55,944
Step-by-step explanation:
Answer:Wont that mean he would be dead? Or is he like a type of animal that lives for a very long time?
Step-by-step explanation:
Find the theoretical probability.
Simplify completely.
Answer:
[tex] \frac{1}{8} [/tex]
Answer:
The correct answer is 1/4!
Step-by-step explanation:
On Acellus
Have a great day!
what is y=-4/3x-4 in standard form
Answer:
4x + 3y = - 12
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y = - [tex]\frac{4}{3}[/tex] x - 4 ( multiply through by 3 to clear the fraction )
3y = - 4x - 12 ( add 4x to both sides )
4x + 3y = - 12 ← in standard form
Hi. I need help with these questions.
See image for question.
Answer:
Step-by-step explanation:
Plug in the stated values for x
(a) 2(1)^4 + 3(1)^3 - (1)^3 + 2(1) - 3
2 + 3 - 1 + 2 - 3 = 1 + 2 = 3
f(1) = 3
(b) 2(-1)^4 + 3(-1)^3 - (-1)^2 + 2(-1) - 3
2 * 1 + 3(-1) - 1 + 2(-1) - 3
2 + -3 -1 -2 - 3 = 2 - 9 = -7
f(-1) = -7
(c) 2(0) + 3(0) - 0 + 0 - 3
0 - 3 = -3
f(0) = -3
d) 2(-1/2)^4 + 3(-1/2)^3 - 2(-1/2) - 3
1/8 - 3/8 - (-1/2)^2 - 2 * 1/2 - 3
16/4 - 1/4 - 1/4 = -16-1-1/4 = -18/4
f(-1/2) = -9/2