Answer:
n=−5
Step-by-step explanation:
0.6(10n+25)=10+5n
Step 1: Simplify both sides of the equation.
0.6(10n+25)=10+5n
(0.6)(10n)+(0.6)(25)=10+5n(Distribute)
6n+15=10+5n
6n+15=5n+10
Step 2: Subtract 5n from both sides.
6n+15−5n=5n+10−5n
n+15=10
Step 3: Subtract 15 from both sides.
n+15−15=10−15
n=−5
Solve for the variable. 3/4x = -24
Hello!
Answer:
[tex]\huge\boxed{x = -32}[/tex]
3/4x = -24
To isolate the "x" variable, divide both sides by 3/4 (multiply by its reciprocal, or 4/3)
3/4x · 4/3 = -24 · 4/3
x = (-24 · 4) / 3
x = -32.
Answer:
x = -32
Step-by-step explanation:
To solve an equation with a fraction, we multiply by the denominator on both sides of the equation and then solve like a normal algebraic equation.
3/4x = -24 Multiply by 4 on both sides of the equation.
4(3/4)x = -4(24) Distribute.
3x = -96 Divide by 3 on both sides of the equation.
x = -32
Find the value of x in the triangle shown below.
X =
80°
7
7
29
9
☆ We know that angles of triangle opposite of its equal sides are also equal
Here the information that we know about the given triangle is
One Angle is 80° Sides are 7 , 7 and 9So the angles opposite to the equal sides will be equal .
→ So one of those equal angle is x so other will also be x .
☆ Interior angle sum property states that sum of interior angles of triangle will be 180°
→ 80° + x + x = 180°
→ 2x = 180°-80°
→ 2x = 100°
→ x = 100/2
→ x = 50° .
So the value of x is 50°.The value of x in the triangle is 50°.
We have,
The given triangle is an isosceles triangle.
This means,
There are two equal sides and the angles opposite to the equal sides are also equal.
Now,
The sum of the three angles in a triangle is 180.
So,
80 + x + x = 180
80 + 2x = 180
2x = 180 - 80
2x = 100
x = 100/2
x = 50°
Now,
We can cross cheked.
80 + 50 + 50
80 + 100
180
True.
Thus,
The value of x in the triangle is 50°.
Learn more about triangles here:
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Train P travels for 330 km at an average speed of x km/h from Kuala Lumpur to Kota Bahru. Train Q travels from Kota Bahru at an average speed of (x-5) km/h and arrives at Kuala Lumpur 30 minutes earlier than train P. Calculate the total time, in hours taken by the 2 trains.
Answer:
Train P : [tex]t_{P} =\frac{330}{55}=6\ \text{hours}[/tex]
Train Q : [tex]t_{Q} =\frac{330}{55}+\frac{1}{2}=6\ \text{hours}\ 30\ \text{minutes}[/tex]
Step-by-step explanation:
The formula to compute the distance traveled by a train is:
[tex]d=s\times t[/tex]
Here,
d = distance traveled
s = speed of the train
t = time taken
From the provided information:
Train P :
d = 330 km
s = x km/h
Then time taken is:
[tex]t=\frac{d}{s}=\frac{330}{x}[/tex]
Train Q :
d = 330 km
s = (x - 5) km/h
[tex]t=\frac{330}{x}+\frac{1}{2}[/tex]
Both the trains traveled the same distance.
[tex]x\times \frac{330}{x}=(x-5)\times [\frac{330}{x}+\frac{1}{2}]\\\\330=\frac{330(x-5)}{x}+\frac{x-5}{2}\\\\330\times 2x=[660(x-5)+x(x-5)]\\\\660x=660x-3300+x^{2}-5x\\\\x^{2}-5x-3300=0\\\\x^{2}+60x-55x-3300=0\\\\x(x+60)-55(x+60)=0\\\\(x-55)(x+60)=0\\\\x=55[/tex]
Compute the time taken by the two trains as follows:
Train P : [tex]t_{P} =\frac{330}{55}=6\ \text{hours}[/tex]
Train Q : [tex]t_{Q} =\frac{330}{55}+\frac{1}{2}=6\ \text{hours}\ 30\ \text{minutes}[/tex]
Convert 2 3/8 to a decimal
Answer:
2.375
Step-by-step explanation:
Assuming you mean [tex]2\frac{3}{8}[/tex] (if you meant [tex]\frac{23}{8}[/tex] ignore this answer):
The first part is just 2. That's pretty easy. 2 wholes is 2.0
The 2nd part is 3 eights. Let's figure out how much 1 eight is.
We know it's half of 1/4, which is 0.25
So 1/8 is 0.125
3/8 is thus 3 of those, or 3 * 0.125 = 0.375
Now let's add both parts together.
2 + 0.375 = 2.375
Answer: 2.375
Anna can knit a scarf in 1 2/3 hours. How many scarves can she knit in 4 hours?
This may be the answer.
What is the solution of the equation 4[x + 2(3x – 7)] = 22x – 65?
Jess borrows $250 from the bank. The bank charges 11% simple interest over 2 years. How much will Jess owe the bank at the end of 2 years? $27.50 $55.00 $277.50 $305.00
Answer:
$305.00
Step-by-step explanation:
Use the formula I = prt, where I is the interest money created, p is the starting amount of money, r is the interest rate as a decimal, and t is time.
I = prt
I = 250(0.11)(2)
I = 55
Add 55 to the amount he borrowed:
250 + 55
= $305.00
Answer:
[tex]\huge \boxed{\mathrm{\$ \ 305.00}}[/tex]
Step-by-step explanation:
We can use the simple interest formula to calculate for the interest.
[tex]I=P \cdot r \cdot t \\ \\ \\ \sf I = interest \\ \\ P=principal \ amount \\ \\ r=rate \ (\%) \\ \\ t=time \ (years)[/tex]
Calculating the interest over the two years:
[tex]I=250 \cdot 11\% \cdot 2 \\\\ I=250 \cdot 0.11 \cdot 2 \\\\ I=55[/tex]
Adding the interest to the principal amount:
[tex]\Rightarrow 250+55 \\ \\ \Rightarrow 305[/tex]
Jess will owe the bank $305.00 at the end of the 2 years.
Solve x^2+2x=4 for x by completing the square
When completing the square, the goal is to create
a perfect square trinomial on the left side of the equation.
The number used to create one will come from
half the coefficient of the middle term squared.
In this case, that's half of 2 squared or 1 squared, which is 1.
So we add 1 to both sides giving us x² + 2x + 1 = 5.
From here, we set this as a binomial squared.
The first term is an x and the second term will
be half the coefficient of the middle term squared.
So we have (x + 1)² = 5.
Now square root both sides and remember to use plus or minus.
So we have x + 1 = ±√5.
Now subtract 1 form both sides to get x = -1 ± √5.
PLZ HELP ME!!!!! IF ANSWER IS CORRECT, I WILL GIVE U BRAINLIEST
Answer:
[tex] 2.58 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex]9.3. {10}^{7} - 3.4. {10}^{6} \\ = (27 \times 10 - 12) \times {10}^{6}\\ = (270 - 12) \times {10}^{6} \\ = 258 \times {10}^{6} \\ = 2.58 \times {10}^{6 + 2} \\ = 2.58 \times {10}^{8} [/tex]
Answer: i don't know
Step-by-step explanation:
what is this
also i need points! sry
A rectangle's length is 3 more than it width, if the perimeter is 26 inches, what is the width of the
rectangle.
Answer:
So the width is 3.25
Step-by-step
If the perimeter of a rectangle is 300 and the length is two times the
width, what are the length and the width?
Call the width of the rectangle x. Then, if the length is three times the width, the length must be 3x. Now, if you have a rectangle whose width is x and whose length is 3x, the perimeter must be 3x + 3x + x + x = 8x. You are told that the perimeter is 26, so the equation is 8x = 26. Dividing both sides by 8, one gets x = 3.25. So the width is 3.25 and the length is 6.5.*Please don't get upset if this is incorrect, I am in 9th grade and I have severe dyslexia and dyscalculia*
:)
What is 7,814,000 in scientific notation please tell me step by step
Answer:
7.814 * 10^6
Step-by-step explanation:
Move the decimal point (which is at the end of the number) six places to the left so that you have one non-zero digit to the left of the decimal point. The number of places it is moved to the left is the exponent. Since it is moved to the left it is a positive exponent.
Volleyballs cost $22.00 each. The Athletic Director has $277.00 in her budget to spend on new volleyballs. There is a $13.00 shipping fee per order. How many volleyballs can the Athletic Director order?
Answer: The Athletic can other 12 volleyballs.
Step-by-step explanation:
If the director has $277 to spend then it means The director can spend at most $277.
Now one volleyball cost $22 and so we could represent the number of volleyballs you can buy by the expression 22x and including the shipping fee,we will extend the expression to 22x + 13 Now since the Director can spend up to $277 or less we can write the whole situation in a form of inequality as,
22x + 13 ≤ 277 Now solve for x to determine the number of volleyballs
-13 -13
22x [tex]\leq[/tex] 264
x [tex]\leq[/tex] 12
At 5 p.m., Henry and Gordon have made 60 and 20 cranes respectively. Henry can make 30 cranes per
hour while Gordon can make 40 cranes per hour. When will they get the same number of cranes?
At 9p.m.(after 4hours)
Step-by-step explanation:
1h. 1h. 1h. 1h
henry:60. 90. 120. 150. 180
gordon:20. 60. 100. 140. 180
you can find it by using this way.i think it will be help for you.
Answer:
9 p.m.
Step-by-step explanation:
Given:
Start time = 5 p.m.Henry made = 60 cranesGordon made = 20 cranesHenry's speed = 30 cranes/hGordon's speed = 40 cranes/hTo find:
The time Henry and Gordon make same number of cranesSolutionLet the required time = x
For Henry:
60 + 30xFor Gordon:
20 + 40xSince they require the same time and same number, we have:
60 + 30x = 20 + 40x40x - 30x = 60 - 2010x= 40x= 40/10x= 4 hoursThe start time was 5 p.m., we need to add 4 hours to this to get 9 p.m.
Answer: At 9 p.m. they will get the same number of cranes
is ABC similar to DEF? Why or why not?
Answer:
It is A ( read below )
Step-by-step explanation:
There are two VERY similar looking ap3x questions, this one is A but if you look closely on the rightside triangle the angle may say 24 not 25. This is why!
The corresponding angles of the triangles ΔABC and ΔDEF will be the same. Thus, the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The corresponding angles of the triangles ΔABC and ΔDEF will be the same.
And the ratio is calculated as,
6/8 = 7.5/10
3/4 = 3/4
Thus, the correct option is A.
More about the triangle link is given below.
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A store sells paint sets. Each paint set cost the same amount. During a sale, the store reduces the price of each paint set by $1.35. Yuri spends $6.88 on 2 paints sets at the same price.
Answer:
4.79
Step-by-step explanation:
4.79 is reasonable for the problem
The price of one paint set before the sale is $4.79
We are expected to determine the price of one paint set before the sale.
From the information given:
Yuri spends $6.88 on = 2 paint set∴
The amount at which Yuri bought 1 paint set is:
[tex]\mathbf{= \dfrac{\$6.88}{2.0}}[/tex]
= $3.44
Recall that during the sale, the store reduce the price of each paint set by $1.35
Therefore, the price of one paint set before the sale is = $3.44 + $1.35 = $4.79
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The endpoints of segment GH are G(-5,5) and H(8, 19). What is the midpoint of
segment GH?
Answer:
( 3/2, 12) is the midpoint
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates together and divide by 2
( -5+8)/2 = 3/2
To find the y coordinate of the midpoint, add the y coordinates together and divide by 2
( 5+19)/2 = 24/2 = 12
( 3/2, 12) is the midpoint
Find the approximate side length of a square game board with an area of 171 in?
Greetings from Brasil...
According to the statement of the question, we conclude that the area of a square is requested, whose value is 171 in²
The area of a square is given by the expression:
A = S²
where S is the side of the square - just what we want to know
So:
A = S²
171 = S²
√171 = S
S ≈ 13.08inI'm having a hard time figuring this out I've tries multiple ways but can not get it please help
Answer:
9.6
Step-by-step explanation:
Plugging in the info given, we get:
2(4) - (2/5)(-4) = 8 - (-8/5) = 8 + 8/5
From here, you need to make the denominators of both numbers the same in order to combine them further. Currently, as a fraction, it looks like this:
8/1 + 8/5
To make the denominators the same we can just multiply 8/1 by 5/5 (this is the same as multiplying by 1, which essentially allows us to change it's form without changing its value). Doing that gives:
(8/1)(5/5) + 8/5 = (8•5)/5 + 8/5 = 40/5 + 8/5
= (40+8)/5 = 48/5
So 48/5 is the answer. But the website wants you to put it into decimal form. This can be done using a calculator, but let's pretend we don't have one...
Decimals work by using whole numbers divided by multiples of 10 and can be visualized as moving a decimal left (or right) between numbers. For example:
1/10 = 0.1
4/10 = 0.4
23/10 = 2.3
13/100 = 0.13
59/1000 = 0.059 and so on.
So if we can multiply 48/5 by something to make the denominator some multiple of 10, we can simply move the decimal left once and that's our answer. 2/2 should work here:
(48/5)(2/2) = (48•2)/(5•2) = 96/10 or 96.0/10
96.0/10 = 9.6
So your decimal answer is 9.6.
Which of these represents a quadratic polynomial with exactly two zeros given by - 21 and 2i?
A. O f(x) = x2 – 4
B. O f(x) = x2 +4
C. O f(x) = 2x2
16
D. O f(x) = 2x2 + 16
Answer:
B. x² + 4
Step-by-step explanation:
(0+/-√-16)2
+/- 4i / 2
+/- 2i
Answer:
B
Step-by-step explanation:
(x + 2i)(x - 2i)
= x² - 2ix + 2ix - (2i)²
= x² - 4i²
= x² -4(-1)
= x² + 4
simply 12(-2x+3)-3x+9(x-9)
Answer:
- 18x - 45
Step-by-step explanation:
= 12 (-2x + 3) - 3x + 9 (x - 9)
= -24x + 36 - 3x + 9 (x - 9)
= -24x + 36 - 3x + 9x - 81
= -24x + 8x + 36 - 81
= - 18x - 45
Answer:
Step-by-step explanation:
First, distribute,
12(-2x+3)-3x+9(x-9)
-24x+36-3x+9x-81
Now combine like terms,
Therefore, the answer is -18x-45
orgin lies on which axis
Origin lies on intersection of both acis x and y
Origin: (0,0)
Answer:
[tex]\Large \boxed{\mathrm{Both}}[/tex]
Step-by-step explanation:
The origin is the intersection of the x-axis and the y-axis.
The origin lies on both x-axis and y-axis.
The diameter of the moon is 1/4 of the earth. find the ratio
Earth is 4:1 and moon is 1:4of earth
how do i do 7?im stuck!! please help ahaha
Answer:
Hey there!
p(x)=7x+25
7x+25=60
7x=35
x=5
Let me know if this helps :)
Bella makes the 2.5m distance to her food bowl in 4.1 seconds. What is her average velocity?
Answer:
Bella's average velocity is approximately 0.61 m/s.
Step-by-step explanation:
To find velocity, we divide displacement (in this case, the same as the distance Bella traveled) by the time taken to travel this displacement.
Velocity = displacement/time
If we plug in the given values, we get:
Velocity = 2.5m/4.1s
Velocity = 0.6097561 m/s
Therefore, the correct answer is about 0.61 m/s.
Find two numbers between 3.456 and 3.457
Answer:
3.4561 and 3.4562
Step-by-step explanation:
there are uncountable infinitely many numbers...
Answer:
Answer is 3.456 , 3.456.
Step-by-step explanation:
3.456=3.4560
3.457=3.4570
then numbers between 3.45610 and 3.4570
is - 3.4561 , 3.4562 , ..........., 3.4570
Please Mark me as Brainliest
-6(w - 4) + 8W=6(w + 2)
Answer:
w = 3
Step-by-step explanation:
-6(w - 4) + 8W=6(w + 2)
-6w + 24 + 8w = 6w + 12
2w + 24 = 6w + 12
12 = 4w
3 = w
Answer:
w=3
Step-by-step explanation:
-6(w - 4) + 8W=6(w + 2)
-6w + 24 + 8W=6w + 12
24 + 2W=6w + 12
12=4w
3=w
What is [tex]\frac{t}{8} = 58[/tex] 100 points! Who ever answers it right and EXPLAIN IT GOOD FIRST gets a free brainliest!
T = 464.
8 times 58 = 464, so we do inverse operations
Answer: Use inverse operations to isolate the t; (multiplication.)
t/8 * 8 = t
58 * 8 = 464
The equation now looks like this:
t = 464
There is nothing left to simplify, so this is your answer.
Hope this helps!
pls send answer ppl
Answer:7,560cm
Step-by-step explanation: Area is found by multiplying each side by each other. 7 x 6 x 12 x 15=7560
7 x 6=42
12 x 15=180
180 x 42=7560
Answer:
73.5cm²
Step-by-step explanation:
area of trapezium is SOPS/2 × ph
sops is the sum of 15+6= 21/2×7
147/2 = 73.5cm²
f(x) = (x - 3)(2x - 8)
lesser =
greater x =
Answer:
lesser x =3
greater x =4
Step-by-step explanation:
f(x) = (x - 3)(2x - 8)
Set the function equal to zero to find the zeros
0 = (x - 3)(2x - 8)
Using the zero product property
0 = (x - 3) 0=2x - 8
Solve each equation
3 = x 8 =2x
3=x 8/2 =x
4=x
lesser x =3
greater x =4
Help needed ASAP will give brainliest.
Answer: Hi!
First, we should find the square root of 68, which is 8.25. (an easy way to find the square root for numbers like this is to just use the calculator, as we can't automatically tell what it is; 68 isn't a perfect square number.) Since we know know the square root we can easily evaluate the questions!
Our answer is c), since the points only span from 0 - 8 and the square root of 68 is 8.25. Since 8.25 is greater than 8, it would be outside of the points and to the right of point Q.
Hope this helps!