Answers
Answer:
Option D
Step-by-step explanation:
Given equation:
-4x + 2 = -14This equation can be solved by:
Isolating the variable(s) and its coefficient(s) on one side of the equation. Dividing both sides of the equation by the coefficient of "x" to isolate x.Subtracting 2 both sides of the equation (according to step 1):
⇒ -4x + 2 = -14⇒ -4x + 2 - 2 = -14 - 2⇒ -4x = -16Dividing -4 to both sides of the equation (according to step 2):
⇒ -4x = -16⇒ -4x/-4 = -16/-4⇒ x = 4Therefore, Option D is correct.
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Answer:
d) 4
Step-by-step explanation:
Solving for the value of x,
→ -4x + 2 = -14
→ -4x = -14 - 2
→ -4x = -16
→ x = -16/-4
→ [ x = 4 ] {option d}
Verification of the value of x,
→ -4x + 2 = -14
→ -4(4) + 2 = -14
→ -16 + 2 = -14
→ -14 = -14
→ [ LHS = RHS ]
Hence, the value of x is 4.
Related Questions
what is the area and radius of a 10 inch circle?
Answers
Answer:
A circle of radius = 10 or diameter = 20 or circumference = 62.83 inches has an area of: 2.02709 × 10 -7 square kilometers (km²) 0.202709 square meters (m²) 2027.09 square centimeters (cm²)
Step-by-step explanation:
The area is 78.5
I hope this helps!
alice has take a job with a starting teacher salary of $50,180 an annual raises of $1750 what will be her salary during her fifth year of the job
Answers
Answer:
$58,930
Step-by-step explanation:
y=mx+b
starting value (b) = $50,180
rate of increase (m) = 1750
number of years (x) = 5
y= (1750)(5) + 50180
y= 8750 + 50180
y= 58930
Find the approximate length of C (WILL CHOOSE BRAINLIEST)
Answers
Answer:
c approx= 3.46
Step-by-step explanation:
30°-60°-90° triangle is a Special Right Triangle. There's a great short cut to find the sides if you know any one side. No trig or Pythagorean Theorem necessary (but that is where the short cut comes from)
The hypotenuse is double the short leg OR the short leg is half the hypotenuse. The long leg is the short leg times the sqroot3. In your question we know the long leg is 3.
3÷ sqroot3 = sqroot3
The short leg is sqroot3. The hypotenuse is double that, 2sqroot3.
c = 2sqroot3 is the exact value.
c ~= 3.46
Which value of x makes the following equation true? 2(x + 7) = x + 19 OA. 5 OB. 12 O C. 19 OD -2
Answers
2(x + 7) = x + 19
Use distributive property on left side;
2x + 14 = x + 19
Subtract 14 from both sides:
2x = x + 5
Subtract 1 x from both sides:
X = 5
Which statements are true about triangle PRS? Select THREE options.
Answers
2: The side adjacent to angle Q is QS.
3: The hypotenuse is QR.
So the first, third, and fifth options.
Can someone please help me
Answers
Answer:
A. 9.0 seconds
Step-by-step explanation:
Find the x - Please help.
Answers
Answer:
x = 7
Step-by-step explanation:
the given angles are vertically opposite and are congruent , then
4x - 5 = x + 16 ( subtract x from both sides )
3x - 5 = 16 ( add 5 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
A metal with a specific heat of 0.900 J/g °C requires 1,040 J of heat to
raise the temperature (the change in temperature) by 5 °C. What is
the mass of the metal
PLEASE HELP GIVING OUT BRAINLEST
Answers
Answer:
231.1 gm
Step-by-step explanation:
1040 J / .9 j/(gm-C) / 5C = 231.1 gm
The mass of the metal is 231.111 gram.
What is specific heat?The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.
The formula for heat is given by the formula,
Q = mC(ΔT)
Given the metal has a specific heat of 0.900 J/g °C requires 1,040 J of heat to raise the temperature (the change in temperature) by 5 °C. Therefore, we can write,
Q = mC(ΔT)
1,040 = m × 0.900 × 5
m = 1040/(0.900×5)
m = 231.111 g
Hence, the mass of the metal is 231.111 gram.
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Select all the expressions whose value is larger than 100.
a. 120% of 100
b. 50% of 150
c. 150% of 50
d. 20% of 800
e. 200% of 30
f. 500% of 400
g. 1% of 1,000
Answers
Answer: A, D, F
Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000
G: 10
please find the area
Answers
18 inch²
Step-by-step explanation:
The same formula of triangle
1/2(12×6)
18 inch²
Solve for the area of the shape below. Don't forget
your units!!
13 in
9in
7in
18in
Area:
Answers
Answer:
63in^2
Step-by-step explanation:
base=18in
height=7in
Area=b*h*1/2
=18*7*1/2
=63in^2
The points scored by a basketball team in its last 6 games
are shown. Use these data for 7 and 8.
Which measure better describes the typical number of points scored?
Explain.
(Points scored= 73,77,85,84,37,115)
Answers
Answer:
73+78+85+84+37+115 because you will add all point scored by the last 6games =471
Is -6,-3 a solution to 2x-9y=15
Answers
Answer: Yes
Step-by-step explanation:
Assuming that (-6, -3) is a coordinate, you just plug in the x and y values. When doing this you multiply 2 * - 6 and add that to -9 * -3This gives you -12 + 27 = 15This gives you 15 = 1515 is equal to 15 therefore, this is a solution to the problem.I hope this makes sense! : )
X
у
2
9
5
10
7
09
5
12.
3
16
2
O A. y=-10.671X+0.580
O B. y= 10.671x-0.580
O C. y=0.580x-10.671
O D. y=-0.580x + 10.671
SUBMIT
Answers
A triangular banner is to be made according to the specifications in the figure shown, with dimensions given in inches.
image
Wooden sticks will be used to outline the perimeter of the banner in order to attach the interior material.
How many inches of wooden sticks will be required?
Answers
The inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.
Perimeter of a triangleThe perimeter of a triangle is the sum of the whole three sides.
Therefore, the perimeter of the triangle can be found by adding the whole sides of the triangle.
The remaining sides of the triangle can be found using Pythagoras theorem.
c² = a² + b²
where
a and b are the legsc = hypotenuseTherefore,
a² = 13² - 5²
a² = 169 - 25
a = √144
a = 12 inches
Therefore,
b² = 15² - 12²
b² = 225 - 144
b = √81
b = 9 inches
Therefore,
perimeter = 13 + 15 + 5 + 9 = 42 inches
Therefore, the inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.
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In the jeweler's workshop, the ruby would be clasped tightly into a settin
flanked by diamonds.
Based on word parts, what is the meaning of flanked in the sentence?
the side of the body on a person or animal
to be situated on each side of a possession
to guard or strengthen an item from the side
SHORT EXPLANATION
the right or left side of a large body of people
Answers
Answer:
To be situated on the sides of the Ruby (Surrounding the Ruby)
Step-by-step explanation:
Should you use Sine, Cosine, or Tangent to solve the following problem
Answers
Answer:
Chose Cosine
Step-by-step explanation:
This is because cos = adj/hyp
Hope this helps!!!
Solve for x (literal equations)
C=b-bx
Answers
Answer:
X= (-c+b)÷b
or
X= -b×(c-b)
Step-by-step explanation:
C=b-bx
b-bx=c
-bx= c-b
-x=(c-b)÷b
x= -(c-b)÷b
or
-x= b×(c-b)
x= -b×(c-b)
The radius of circle a is 6 in. the radius of circle b is 5 in. greater than the radius of circle a. the radius of circle c is 5 in. greater than the radius of circle b. the radius of circle d is 2 in. less than the radius of circle c. what is the area of each circle? how many times greater than the area of circle a is the area of circle d?
Answers
Answer:
Step-by-step explanation:
The population of a city is given by P(t) = Poe
-0.04t where t is time measured in years and
P0 is the population at time t=0. Assume that Po = 1,000,000.
a. Find the population when t=3.
b. During what year will the population drop below 750,000. (solve an equation, no
guess-and-check)
Answers
Answer:
a. 885,920
b. year 8
Step-by-step explanation:
The population at a given time is described by the exponential formula ...
P(t) = P0·e^(-0.04t)
where P0 is given as 1,000,000.
a.We are asked for the value of P(3). This ccan be found by substituting 3 for t in the equation and evaluating the numerical expression.
P(3) = 1,000,000·e^(-0.04·3) = 1,000,000·e^(-0.12)
P(3) ≈ 886,920
The population when t=3 is about 886,920.
__
b.We can put the given numbers in the equation and solve for t.
750,000 = 1,000,000·e^(-0.04t)
0.75 = e^(-0.04t) . . . . . divide by 1,000,000
ln(0.75) = -0.04t . . . . . take the natural log
-ln(0.75)/0.04 = t ≈ 7.192
The population will drop below 750,000 in year 8.
_____
Additional comment
These values can be confirmed by a graphing calculator.
Note that "year 1" is the year between t=0 and t=1. So, "year 8" is the year between t=7 and t=8.
Paul is moving to Australia. The total weight of his 4 suitcases is shown
on the scale to the right. On a number line, round the total weight to the
nearest 100 kilograms.
(this is 3rd grade math btw)
Answers
Answer:
100
Step-by-step explanation:
Because 127 rounded is to 100, as if it goes over 150 then round it to 200 , but if it goes lower than 150 then it's 100.
Find the value of x
Answers
Answer:
40, or if you need it unrounded 40.3
Step-by-step explanation:
the formula is just v=b(h) you can take 15 which is our height and solve by dividing 605/15 which is 40.3, or 40 when rounded
bryson collects data on the depth of a river at various points and the velocity of the river at those points. his data has a correction coefficient of -0.94. which scatterplot represents brysons data ?
Answers
The scatterplot that represents Bryson's data is the scatterplot that is downward sloping.
What is negative correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables.
Negative correlation means that the two variables move in opposite directions. If one variable increases, the other variable decreases. When there is a negative correlation, the graph of the variables is downward sloping
Please find attached the graph representing the negative correlation. To learn more about negative correlation, please check: https://brainly.com/question/14436361
If f(x) = x3 + 12x2 +41x + 30 and f(-6) = 0, then find all of the zeros of
f(x) algebraically.
Answers
Answer:
-6, -5, -1
Step-by-step explanation:
Based on the question, (x+6) is a factor of f(x).
With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.
You'll get x²+6x+5 as a result.
Factorise it and you'll get
x²+6x+5 = (x+1)(x+5)
Then let (x+1)(x+5) = 0, x = -1, -5
Zero's of f(x) are -6, -5 -1
[tex]\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5[/tex]
You want to reduce your daily calorie consumption by about 9%. You currently consume about 2100 calories per day. Use mental math to estimate the number of calories you should consume in one week to meet your goal.
Answers
Answer:
13,377 in one week
Step-by-step explanation:
2100*0.09=189
2100-189=1911
1911*7=13,377
~hope this helps~
To meet your goal, you should consume 13377 calories in one week.
What is a percentage?Percentage refers to a number that is "out of one hundred." As with fractions and decimals, percentages are used in mathematics to represent subsets of a whole.
Given,
you currently consume about 2100 calories per day.
You want to reduce your daily calorie consumption by about 9%.
That means,
9% of 2100
= 9 x 2100 / 100
= 189 calories
To find the number of calories you should consume in one week to meet your goal:
Multiply by 7 to reduced consumption in one day.
7 x 189
= 1323 calories.
Now, subtraction;
One week of consumption - reduced consumption
= (2100 x 7) - 1323
= 13377
Therefore, in one week you should consume 13377 calories.
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your answer should be a polynomial in standard form. -t(-4t^3+8t^2)=
Answers
is there any answer choices
Using the Rule of 72, how long would it take for Anthony to double his investment of $5,000 in a
money market account that earns 7% per year?
Answers
Answer: About 10.2857 years
=============================================================
Explanation:
For the rule of 72, we divide the number 72 over the interest rate without the percent sign. We do not convert to decimal form. Simply erase the percent sign.
For example, if the interest rate was 6%, then we estimate it would take 72/6 = 12 years for the amount to double.
In this case of a 7% interest rate, the doubling time is roughly 72/7 = 10.2857 years.
-------------
Extra Notes:
The starting deposit doesn't matter, so we can ignore the "5000". The interest rate must stay the same the entire time.5. Mount Logan in the Yukon is 3. 702 miles high. Mount McKinley in Alaska is 3. 848 miles high and Pico de Orizaba in Mexico is 3. 571 miles high. Order these mountains by height from greatest to least. *
1 point
Logan, McKinley, Pico de Orizaba
McKinley, Logan, Pico de Orizaba
Pico de Orizaba, Logan, McKinley
Logan, Pico de Orizaba, McKinley
Answers
Answer:
McKinley, Logan, Pico de Orizaba
Step-by-step explanation:
If y = -5 when x = 2, find y when x = 8.
Answers
Answer:
Y= -20
Step-by-step explanation:
if y=-5 when x=2 find y when x=8
8 /2 = 4
=> x = 2 * 4 => x = 8 Answer
y = -5 * 4 =>
y= -20
why is it that when i caulate 1225*3.14 it equals 3846 but if i have the pie symbol instead of the 3.14 it turns out to be different 1225*π=3848
Answers
Answer:
[tex]\pi[/tex] is infinite. 3.14 only has three numbers.
Step-by-step explanation:
so [tex]\pi[/tex] multiplied by any number (except 0) will have infinite numbers
Answer:
See below ↓
Step-by-step explanation:
When multiplying a number by 3.14, which is the simplified version of pi, it will give a constant term. But, when multiplying by π, the actual value is equal to 22/7, and it is a non-terminating decimal. Therefore, when you multiply any number with 3.14, it will be slightly lesser than when you multiply with π.
1225 x 3.14 = 3846.51225 x π = 3848.451