Answer:
5. 7(x - 2) + 1 = -34
7x - 14 + 1 = -34
7x - 13 = -34
7x = -34 + 13
7x = -21
x = -21/7 = -3
6. 10x + 4 - 8x = 2(x - 1)
2x + 4 = 2x - 2
Cancel 2x means this equation has no solution
8. 5(x - 3) + 1 = 5x - 14
5x - 15 + 1 = 5x - 14
5x - 14 = 5x - 14
5x - 5x = -14 + 14
0
9. 2x + 3 = 5x + 3 - 3x
2x + 3 = 2x + 3
2x - 2x = 3 - 3
0
11. x + 2x + 1 = 3x + 5
3x + 1 = 3x + 5
Cancel 3x means this equation has no solution
12. -3 = -2x + 4/-4
-3 × (-4) = -2x + 4
12 = -2x + 4
12 - 4 = -2x
8 = -2x
8/-2 = x
-4 = x
Write 0.12 as a fraction.
Answer: (6/50, but in simplest form,) 3/25.
Step-by-step explanation:
There are two decimal places in 0.12.
Because we multiplied 0.12 by 100 to produce 12, we must divide 12 by 100 in order for it to remain identical to 0.12....
By dividing the numerator and denominator with 4, we may simplify 12/100.
As a result, we obtain 3/25.
Answer:
0.12=12/100 and simplified 3/25
Stuck on this question, someone please help
N is the midpoint of AC; AN = 4x - 7 and NC = 5x - 15
Find NC=
Answer:
A____N____C
AN= NC
4x-7=5x-15
5x-4x= 15-7
x= 8
NC = 5x-15=5(8) – 15 = 40 – 15 = 25
I hope I helped you^_^
Which product is negative?
4.(-9).(-3) - (-1)
-6.6-7).(-8). 0
-3.(-2) - (-4).(-7)
-2.(-7) - 12 - (4)
Answer:
the first product is negative. hope this helps
Step-by-step explanation:
- Zombie
Tegan needs to make 68 more snow blocks to finish
building an igloo.
Write an equation for the number of blocks Tegan still
needs to make, m, when she has completed c blocks.
legan completes 33 blocks.
How many blocks does Tegan still need to make to
finish the igloo?
blocks
Answer:
m = 68 - c
Step-by-step explanation:
It is given that Tegan needs to make 68 more snow blocks to finish building an igloo.
Let m be the number of blocks Tegan still needs to make and c be the number of completed blocks.
If total number of required block is 68 and c blocks are completed then the remaining blocks is the difference between 68 and c.
Number of blocks Tegan still needs to make = 68 - c
We know that c represent the number of blocks Tegan still needs to make.
m = 68 - c
Therefore, the required equation is m = 68 - c.
I need help with #52 ASAP… please help me with help this .. please and thank you.. it was due yesterday
At a party, 70 people are right-handed
and 12 people are left-handed.
What is the ratio of right-handed
people to the total number of people
at the party?
[?]:[ ]
Reduce the ratio to lowest terms?
PLSSS HELP WILL MARK BRAINLIEST! (reflections)
Quadrilateral PQRS is located in the first quadrant of a coordinate plane. One of its vertices, P, is located at (1, 7). If the quadrilateral is reflected across the y-axis, what is the location of point P'?
(-7, 1)
(7, -1)
(1, -7)
(-1, 7)
Answer:
Option 4
Step-by-step explanation:
If we're reflecting across the y-axis, then the the y value of the point will remain the same. The only option that displays this is option 4.
Ah, the power of multiple choice elimination.
could someone please assist me
Answer:
See Below.
Step-by-step explanation:
We are given that:
[tex]\displaystyle \cos(A - B) = \cos A\cos B + \sin A \sin B[/tex]
Part 5.2.1
Note that:
[tex]\displaystyle \cos ( A + B) = \cos (A - (-B))[/tex]
Then from the given identity:
[tex]\displaystyle \cos(A - (-B)) = \cos A \cos( -B) + \sin A \sin (-B)[/tex]
Cosine is an even function and sine is an odd function. That is:
[tex]\displaystyle \cos(- \theta) = \cos \theta \text{ and } \sin (-\theta) = -\sin\theta[/tex]
Hence:
[tex]\displaystyle \cos(A + B) = \cos A \cos B - \sin A \sin B[/tex]
Part 5.2.2
We want to verify that:
[tex]\displaystyle \cos^2 (A - B) = 4\cos^2 B \sin^2 B[/tex]
From the identity:
[tex]\displaystyle \cos (A - B) = \cos A \cos B + \sin A \sin B[/tex]
Since A + B = 90°, A = 90° - B. Hence:
[tex]\displaystyle \cos (A - B) = \cos (90^\circ - B) \cos B + \sin (90^\circ - B) \sin B[/tex]
Sine and cosine are co-functions. That is:
[tex]\displaystyle \sin \theta = \cos (90^\circ - \theta) \text{ and } \cos\theta = \sin(90^\circ - \theta)[/tex]
Hence:
[tex]\displaystyle \cos (A - B) = \sin B\cos B + \sin B \cos B = 2\sin B \cos B[/tex]
And by squaring both sides:
[tex]\displaystyle \cos ^2 (A - B) = 4\sin^2 B\cos^2 B[/tex]
4k = 13.6?
PLZ help me! I need to find the value of k!
Answer:
k = 3.4
Step-by-step explanation:
4k = 13.6
Divide each side by 4
4k/4 = 13.6/4
k = 3.4
Write 0.24 repeating as a fraction in simplest form.
Answer:
24/100
Step-by-step explanation:
Simplest fractional form of 0.24 repeating will be 6/25.
Fractions: A number in p/q form where q must not be zero is termed as fractions.
Given, that number 0.24 is repeating in nature.
So, to convert 0.24 from decimal to fraction .
Remove the decimal by dividing the whole number by 100 as decimal is two places behind.
0.24 = [tex]\frac{24}{100}[/tex]
Simplify the fractional form,
GCF of 24 and 100 = 4
So divide 24 and 100 by 4,
Therefore the required fraction is ,
= [tex]\frac{6}{25}[/tex]
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A 2-axle passenger vehicle with a SunPass drives
through the Orlando (1-4) Mile Post five times.
Determine the total amount of money that will be
deducted from this vehicle's SunPass account.
The amount of money to be deducted from the vehicle's SunPass account is $2.65
To obtain the total toll fee charged; we take the product of the toll fee at the Orlando (1 - 4) mile post and the Number of times the car passes through the toll post.
The discounted toll fee at Orlando(1 - 4) mile post is $0.53
Number of times vehicle passes = 5
Hence, The total fee charged will be :
($0.53 × 5) = $2.65
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Find the lowest terms
fraction that's equal
to 0.875.
Answer:
3/8
Step-by-step explanation:
Question 4 Multiple Choice Worth 2 points)
(01.08 MC)
Determine the value of f (3) for the function f(x) =
x? +18x? + 104x + 192 for xs-3
3x - 9
for -3
x? - 2x? -5x + 6
x2-9
for
X > 3
Oo
O Undefined
O
10
O 693
f(3) is 0 for the given function
What is a function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given
f(x) = [tex]x^{3}+18x^{2} +104x+192 \ for x\leq -3[/tex]
f(x) = [tex]\frac{3x-9}{x^{3} -2x^{2} -5x+6} \ for -3\leq x\leq -3[/tex]
f(x) = [tex]\sqrt{x^{2} -9} \ for \ x > 3[/tex]
We need f(3)
f(x) = [tex]\frac{3x-9}{x^{3} -2x^{2} -5x+6} \ for -3\leq x\leq -3[/tex]
f(3) = [tex]\frac{3(3)-9}{3^{3} -2(3)^{2} -5(3)+6}[/tex]
f(3) = 0
Hence, f(3) is 0 for the given function.
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Find the equation of this line
Step-by-step explanation:
y = - 2/5 x + 1
____________
Answer:
y = -2/5x + 1
Step-by-step explanation:
slope = rise/run
The line goes down two and five right.
The line crosses the y-intercept at 1.
Multiply.
2
X8
=
CON
Answer:
4 2/3
Step-by-step explanation:
8/3 = 2 1/3
2 1/3 x 2 = 4 2/3
6. Find the additive inverse of -7 + 51.
-7 - 51
7 + 5
7 - 51
-7 + 51
Answer:
7 - 51
Step-by-step explanation:
additive inverse : a number that when added to a given number gives zero the additive inverse of 4 is −4
A triangle has sides of length: 372 +8, 202 + I, and a 3. What is the perimeter of the triangle? Recall that the perimeter is the sum of the sides, 52 + 2x + 5
Given sides of the triangle:
3x^2 + 8,2x^2 + x, andx - 3.We know that the perimeter of a triangle is the sum of all the sides of a triangle.
Perimeter of the triangle,
= 3x^2 + 8 + 2x^2 + x + x - 3
= 3x^2 + 2x^2 + x + x + 8 - 3
= 5x^2 + 2x + 5
Therefore, the perimeter of the triangle is 5x^2 + 2x + 5. Hence, the option A is the correct answer.
Is p(4p - 9) =12 or p(4p - 9) - 12 quadratic?
pls need help
From: Brainly.ph (philippines)
Answer:
p(4p - 9) =12 ⇒ 4p² - 9p = 12 ⇒ 4p² - 9p - 12 = 0
This is a quadratic equationp(4p - 9) - 12 ⇒ 4p² - 9p - 12
This is a quadratic expressionStep-by-step explanation:
p(4p-9)=124p²-9p=12Since, it's one term has power 2 ,so it is quadratic
p(4p-9)-124p²-9p-12Since, it's one term has power 2, so it is quadratic
what is the coefficient of -y/3
Answer:
-1/3 Is the coeff because y is multiplied by it
The height of a triangle is 4 in. greater than twice its base. The area of the triangle is no more than 168 in.-. Which
inequality can be used to find the possible lengths, x, of the base of the triangle?
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Plz help!!!
Each liter of air has a mass of 1.80 grams. How many liters of air are contained in 2.5 x103 kg of air?
Answer:
kg = 1,000 grams
[2.5 x 10^3] x 1,000 =2.5 x 10^6 grams of air.
[2,5 x 10^6] / 1.8 =~ 1,388,889 Liters of air in 2.5 x 10^3 kg.
Step-by-step explanation:
There are 1.39 x 10⁶ liters of air contained in 2.5 x 10³ kg of air.
Given that 1 liter of air is 1.80 grams.
2.5 x 10³ kg = 2.5 x 10³ × 1000 grams (since 1 kg = 1000 grams)
Calculating the mass in grams:
2.5 x 10³ × 1000 grams = 2.5 x 10⁶ grams
Now, to find the number of liters of air, we divide the mass (in grams) by the mass of 1 liter of air:
Number of liters = Mass / Mass per liter
Number of liters = 2.5 x 10⁶ grams / 1.80 grams per liter
= 1.39 x 10⁶ liters
Therefore, there are approximately 1.39 x 10⁶ liters of air contained in 2.5 x 10³ kg of air.
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Find the measures of the indicated angles pictures included!!!
Answer:
25
Step-by-step explanation:
The angles b and 65 are complementary, meaning they sum to 90 degrees. You know this because those 2 angles and the right angle are sitting on a straight line. So, together they equal 180 and 180-90 is 90. Therefore, angle b+65 must equal 90. So, simply subtract 65 from 90 to get the answer, 25.
Si un amigo de Lorena tiene el doble de canciones que ella en su reproductor de música y juntas
suman 60 canciones. ¿Cuántas canciones tiene Lorena?
Lorena tiene 20 canciones y su amigo tendria 40
Write the slope-intercept form of the equation of the
line through the given point with the given slope.
10. through: (5, -3), slope -4/5.
Answer:
y = -4/5x + 1Step-by-step explanation:
The slope-intercept form:
y = mx + b, where m- slope, b- y-interceptUse point (5, -3) and m = -4/5:
-3 = -4/5*5 + b-3 = -4 + bb = -3 + 4b = 1The line is:
y = -4/5x + 1Answer:
b = 1
Step-by-step explanation:
We know that
y = mx + b
-3 = -4/5 × 5 + b
-3 = -20/5 + b
-3 = -4 + b
-3 + 4 = b
1 = b
If 445 to base n is equal to 173,find the value of n
Answer:
6
(4×n²) + (4×n¹) + (5×n^0) = 173
4n² + 4n + 5 = 173
4n² + 4n = 168
divide through by 4
n² + n - 42 = 0
n² + 7n - 6n - 42= 0
(n + 7)(n - 6) = 0
n = -7 or 6
but the solution is 6 since base is not negative.
Find the equation of the vertical line at an x coordinate of -3
Answer:
Step-by-step explanation:
Find the perimeter. Simplify your answer.
X-4
X-3
X-3
X-4
2(x - 4) + 2(x - 3) =
= 2x - 8 + 2x - 6 =
= 2x + 2x - 8 - 6 = 4x - 14 ← the end
Problem in image. Explain it too.
[tex]\sqrt{40} = 6.32\\\\\\or\\5\sqrt{15} \\\\[/tex]
this is because when 40 is broken down into two numbers (one divisible to get out of the square root, and one not) you get 25 + 15 under the square root. we know that the square root of 25 is 5, so we can put 5 outside the root and leave 15 inside.
-------------- try the next problem, and if you don't understand, please reply back.
answer is for a) [tex]5\sqrt{15}[/tex]
if the mean of 6,7,x,13 and 10 is 8 find the value of x
Answer:
X=4
Step-by-step explanation:
Given mean =8,
Total number given including X is 5
5×8= 40
40-(Given number)
40-6-7-13-10=4
x=4 Is the final answer