Answer:
#1 s=-133/5
#3 a. b=-4
#3 b. x=23.45
#3 c. p=201
Step-by-step explanation:
#1 −5(s+30)=−17
Step 1: Simplify both sides of the equation.
−5(s+30)=−17
(−5)(s)+(−5)(30)=−17(Distribute)
−5s+-150=−17
−5s−150=−17
Step 2: Add 150 to both sides.
−5s−150+150=−17+150
−5s=133
Step 3: Divide both sides by -5.
−5s−5=133/−5
s=−133/5
#3 a. [tex]-\frac{1}{2} (b-6)=5[/tex]
Step 1: Multiply both sides by 2
[tex](-\frac{1}{2} (b-6))(-2)=5(-2)[/tex]
Step 2: Simplify
b-6=-10
Step 3: Add 6 to both sides
b-6+6=-10+6
Step 4: Simplify
b=-4
#3 b. 0.4t(x-0.45t)=9.2
Step 1: Divide both sides by 0.4
[tex]\frac{0.4t(x-0.45t)}{0.4} =\frac{9.2}{0.4}[/tex]
Step 2: Simplify
x-0.45=23
Step 3: Add 0.45 to both sides
x-0.45+0.45=23+0.45
Step 4: Simplify
x=23.45
#3 -4(p-212)=44
Step 1: Divide both sides by -4
[tex]\frac{-4\left(p-212\right)}{-4}= \frac{44}{-4}[/tex]
Step 2: Simplify (there is way more to this step than I am putting)
p-212=-11
Step 3: Add 212 to both sides
p-212+212=-11+212
Step 3: Simplify
p=201
what is the value of a1 ?
Answer:
the value of a1 in a geometric series is 12 if i remember correctly.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since dividing any term by the previous term is constant this is a geometric sequence. In this case the common ratio is 18/6=54/18=3 and the first term a1=6
So a1=6 and r=3
Pls help me!!!! Awarding brainliest!!!!!
Answer:
H, 96.56
Step-by-step explanation:
First, find the area of the square: 8x8=64
do 17-8-4 to get 5, which is the triangle base
Then, the triangle area: 8x5=40/2=20
Finally, the circular shape area: π·4^2=50.26
divide that by 4 because it's 1/4 of a circle: 12.56
then add all the sums together: 64+20+12.56=96.56
A cylinder with a volume of 45 cubic inches has a radius of 3 inches. Which expression represents the height of the cylinder in inches?
Answer:
Step-by-step explanation:
An iron dinner bell is in the shape of an equilateral triangle with a side length of 8 5/8 inches. Find the length of the rod used to create the bell
Answer:
25 7/8inches
Step-by-step explanation:
The length of the rod is equal to the side length of the equilateral triangle
Let the length of the rod be x
Since an equilateral triangle has all its sides equal, its perimeter is expressed as;
P = x+x+x
P = 3x
Given x =8 5/8
P = 3(69/8)
P = 207/8
Express as mixed fraction
P = 25 7/8 inches
Hence the length of the rod used to create the bell is 25 7/8inches
What is this question?
Please help and explain it!
Answer:
the perimeter is 21
Step-by-step explanation:
formula -
P = a + b + c + d you can find the length of your sides by looking at the units
P = 5 + 8 + 4 + 4 on the graph (just count how many squares makes the side
P = 21 you are looking for) ex: side a (the top line) is 5 units
Which is the best reason why step 1 is a good first step in the solution shown?
Math item stem image
CLEAR CHECK
Multiplying by 3 isolates x on one side of the equation.
3 is a factor of 12.
The same thing was done to both sides of the equation.
Multiplying by 3 is easier than subtracting 12.
NEXT
CLOSE
Reference
calculator
formulas
glossary
CLOSE
Language
Changes the language of the audio snippets and the glossary
ENGLISH
Step-by-step explanation:
Let's think about how we can solve for ttt in the following equation:
\qquad 6t = 546t=546, t, equals, 54
We want to get ttt by itself on the left hand side of the equation. So, what can we do to undo multiplying by 6?
We should divide by 6 because the inverse operation of multiplication is division!
Here's how dividing by 6 on each side looks:
\begin{aligned} 6t &= 54 \\\\ \dfrac{6t}{\blueD{6}} &= \dfrac{54}{\blueD{ 6}}~~~~~~~~~~\small\gray{\text{Divide each side by six.}} \\\\ t &= \greenD{9}~~~~~~~~~~\small\gray{\text{Simplify.}} \end{aligned}6t66tt=54=654 Divide each side by six.=9 Simplify.
Let's check our work.
It's always a good idea to check our solution in the original equation to make sure we didn't make any mistakes:
\qquad \begin{aligned} 6t &= 54 \\ 6 \cdot \greenD9 &\stackrel{\large?}{=} 54\\ 54 &= 54 \end{aligned}6t6⋅954=54=?54=54
Yes, t = \greenD{9}t=9t, equals, start color #1fab54, 9, end color #1fab54 is a solution!
Solving a division equation using inverse operations
Now, let's try to solve a slightly different type of equation:
\qquad \dfrac x5 = 75x=7start fraction, x, divided by, 5, end fraction, equals, 7
We want to get xxx by itself on the left hand side of the equation. So, what can we do to cancel out dividing by 5?
We can multiply by 5 because the inverse operation of division is multiplication!
Here's how multiplying by 5 on each side looks:
\begin{aligned} \dfrac x5 &= 7 \\\\ \dfrac x5 \cdot \blueD{5} &= 7 \cdot \blueD{5}~~~~~~~~~~\small\gray{\text{Multiply each side by five.}} \\\\ x &= \greenD{35}~~~~~~~~~~\small\gray{\text{Simplify.}} \end{aligned}5x5x⋅5x=7=7⋅5 Multiply each side by five.=35 Simplify.
Let's check our work.
\qquad \begin{aligned} \dfrac x5 &= 7 \\\\ \dfrac{\greenD{35}}{5} &\stackrel{\large?}{=} 7\\\\ 7 &= 7 \end{aligned}5x5357
Answer:
WHAT THE #### WHAT IS THEIS
Step-by-step explanation:
Molly buys a necklace for $400 on her credit card, which charges 21% simple interest. How much interest will be added after 6 months? Write an equation and solve the problem.
Answer:
$106.50
Step-by-step explanation:
The water of a tank is initially 24 feet, and it is being
drained at a rate of 3 feet per day. The equation below
expresses the water level, y, in feet, in terms of the number
of days, x, since the tank began draining.
y = 24 - 3x
A scientist might be interested in the x-intercept of this
equation because it represents the moment when the tank
will be empty. Which of the following is the x-intercept of
the equation above?
Answer:
oof
Step-by-step explanation:
What is the answer please + explanation
Answer:
86π
Step-by-step explanation:
A=2πrh+2πr2
A=2π*16+2π*4*7
A=32π+54π
A=86π
Hope this helps :)
Will uses 36.12 ounces of milk to make 9 shakes. About how much milk is in each shake?
Answer:
About 4 oz
Step-by-step explanation:
36.12 is founded to 36. 36 oz /9 milkshakes is 4oz per milkshake.
Answer:
There is 4.01333333333 ounces of milk in each shake (i'm not entirely sure tho)
Step-by-step explanation:
How do you do this?
I don't understand it.
Answer:
what this is so weird umm try to connect b,c,and try to connect c it b again
Do you see those grid lines? Since you can't go diagonally across them, draw your line ON THEM; I would start at C and go up one, right 3, and then up one again. That connects C & A. If you want you could do A to A, which is the easiest option. Just go down straight to the A at the bottom. Hope that helps!
WHATS THE ANSWER TO THISSS??
pls answer! WILL MARK BRAINLIST
Answer: The answer is C
Step-by-step explanation: I had the same question and got it right on my test
mike rides his horse with a constant speed of 14 km/h. How far can he travel in 3 1/2 hours?
Answer:
126 km/h
Step-by-step explanation:
Sorry if I'm wrong:/
I need help bad it’s like son 2 way table stuff
The first one I'll do is Physics because you know the amount of girls and total amount of students. Use the equation x+19=33. Note that x is the amount of boys we are trying to find. All you need to do is simply subtract 19 from both sides to get x alone.
x + 19 = 33
-19 -19
x = 14
For the total that's going up and down, you can do this same process again, but just using x for girls instead of boys. Your equation should look like 47+x=80. Once again, subtract 47 from both sides.
47 + x = 80
-47 -47
x = 33
Now you can find whole row for boys. This equation will be a little longer, but it's still pretty easy. 18+x+14=47 is what we will be using. We first will need to combine like terms (the 18 and 14), then subtract it off from both sides to get x alone.
18 + x + 14 = 47
x + 32 = 47
-32 -32
x = 15
Moving onto the biology column, we'll be using the equation 15+x=21
15 + x = 21
-15 -15
x = 6
Now we can find out the girls column with this equation: x+6+19=33
x + 6 + 19 = 33
x + 25 = 33
-25 -25
x = 8
Lastly, we can find the chemistry column by just adding 18+8 to get 26.
I know this was a little hard to follow along, so here's a picture of it finished:
Given the diagram below, which pair of
angles are alternate interior angles?
2
43
516
87
A. 23 and 24
B. 23 and 26
C. 24 and 26
D. 22 and 27
Answer:
C
Step-by-step explanation:
The pair of alternate interior angles in the given figure is ∠ 4 and ∠ 6
What are alternate interior angles?Alternate Interior Angles are a pair of angles on the inner side of each of those two lines, but on opposite sides of the transversal.
Given is a figure, we are asked to identify a pair of alternate interior angles,
According to the definition of pair of alternate interior angles, we can identify two pair of alternate interior angles, in the figure,
∠ 4 and ∠ 6
∠ 3 and ∠ 5
Hence, the pair of alternate interior angles in the given figure is ∠ 4 and ∠ 6
For more references on pair of alternate interior angles, click;
https://brainly.com/question/28380652
#SPJ2
PLEASE HELP ME ASAP!!!! GIVING 20 POINTS AWAY!!
Answer:
A? I think it's a if it's not then I dont know
1) Determine the quotient: 2 4/7 ÷ 1 3/6. * A.27/7
B.3
C.1 5/7
D.1 7/13
solve for x please and thank uou
Answer:
The question is not asked correctly
Step-by-step explanation:
Answer:
x = 9.33
Step-by-step explanation:
7/13 = x/(x+8)
7x + 56 = 13x
6x = 56
x = 9.33
Which expression is equivalent to?
Answer: 7x^3y^4z^2
Step-by-step explanation:
solve for a: a2 + b2 +c2
Answer:
I need the whole question plz.
Step-by-step explanation:
(a+b+c)*2
Answer:
[tex]a^2+b^2+c^2[/tex]
Step-by-step explanation:
It can only be simplified not solved.
A new motorcycle has a value of $8000 every year is value decreased by $500 which function can be used to find why the value of motorcycle in X years?
The function for the value of the motorcycle after x years are;
y = 8000 - 500x
y = -500x + 8000
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have given that new motorcycle has a value of $8,000. Every year its value decreases by $500.
Now, we have y = amount of the motorcycle
x = number of years
The function for the value of the motorcycle after x years.
y = 8000 - 500x
y = -500x + 8000
Thus,
y = 8000 - 500x
y = -500x + 8000
Learn more about functions here:
brainly.com/question/28533782
#SPJ3
Find this area
A) 492.5ft2
B) 508.2ft2
C) 515.3ft2
D)551.6ft2
Which of these is not the line y = x?
1) y - x = 0
2) x + y = 0
3) 3x = 3y
4) y = x + 0
Find the slope of the line that passes through each pair of points. A(1, 3), B(4, 7)
Answer:
Check pdf
Step-by-step explanation:
A cylinder has a radius of 4 meters
and a height of 8 meters. A cone has
a radius of 4 meters and a height of
8 meters. Calculate the volume for
each one.
PLEASE HELP
WILL GIVE BRAINLIEST
Graph the function f(x)=3/2x−4.
Use the line tool and select two points to graph
Answer:
Use these points.
(1, -2.5)
(-1, -5.5)
3/2x1=1.5-4=-2.5
3/2x-1=-1.5-4=-5.5
Answer:The two points on the graph are (0,-4) and (2.667,0)
Step-by-step explanation:
We are given that a function. We have to graph the function using line tool and select two points to graph. Let Substitute x=0 then, we get Therefore, the equation cut the y- axis at point (0,-4). Substitute y=0 then we get
A water tank already contains 56 gallons of water in Baxter begins to fill it. water flows into the tank at a rate of 8 gallons per minute. write a linear equation to model this situation. Find the volume of the water in the sink 5 minutes after Baxter begins filling the tank.
Answer:
Equation: y = 8x + 56
After 5 minutes, the volume of the water was 96 gallons
Step-by-step explanation:
Use y = mx + b to create the linear equation, where m is the slope and b is the y intercept.
Since the water flows in at 8 gallons per minute, 8 will be the slope. The variable x will represent the number of minutes.
There are already 56 gallons of water in the tank, so b will be 56.
Plug in these values into the equation:
y = 8x + 56
So, the linear equation is y = 8x + 56
Using this, plug in 5 as x to find the volume of the water in the sink after 5 minutes:
y = 8x + 56
y = 8(5) + 56
y = 40 + 56
y = 96
So, after 5 minutes, the volume of the water was 96 gallons
I NEED HELP ASAP PLZ HELP
Answer:
80
Step-by-step explanation:
f m∠ 4 = 2x° and m∠ 5 = 4x°, what is the value of x?
a. x= 20
b. x = 30
c. x = 60
d. x = 120
Answer:
Step-by-step explanation:
∠5 + ∠4 = 180°
4x° + 2x° = 180°
6x° = 180°
x = 30