Answer:
let the three numbers be x,y,z
X= z-6
Y= 4z
Z= z
Step-by-step explanation:
X+Y+Z=114
hence
=z-6+4z+z=114
=collect like times. X= 20-6=14
= z+4z+z=114+6. Y= 20*4=80
=6z=120. . Z= 20
z=20
Answer:
14 + 20 + 80 = 114
Step-by-step explanation:
Let's begin by representing our 1st number as x.
Then our 2nd number is said to be 6 more than the 1st number, which we can represent as x + 6.
Lastly, our 3rd number is said to be 4 times the 2nd number, which we can represent as 4(x + 6).
Now can write our equation to express the sum of these three numbers as 114 and then solve for x to find the values of these three numbers:
x + (x + 6) + 4(x + 6) = 114
x + x + 6 + 4x + 24 = 114
6x + 30 = 114
6x = 114 - 30
6x = 84
x = 84/6 = 14 (1st number)
x + 6 = 14 + 6 = 20 (2nd number)
4(x + 6) = 4(20) = 80 (3rd number)
We can check our answers by adding these numbers up to see if their sum is 114:
14 + 20 + 80 = 114
34 + 80 = 114
114 = 114
Their sum is 114, so we are confident that our three numbers are correct.
-Hope this helps
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1 1/4 times 2/5 divided by 3 1/3
When using the power rule, the original coefficient:__________a) Is multiplied by the original exponent.b) Only changes if the function is in terms of x.c) Is ignored
Answer:
a) Is multiplied by the original exponent.
Step-by-step explanation:
the power rule works like this:
you want to find the derivative of ax ⁿ
where n is the exponent and a is the coefficient
the derivative would equal (n ⋅ a)xⁿ⁻¹
e.g. you want to find the derivatives of 5x⁴
f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³
f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²
f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x
f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120
For the equation
3
x
−
4
y
=
−
12
3
x
-
4
y
=
-
12
is there any tutor available like a techer
What is the percent change from 56 to 39? Round your answer to the
nearest tenth.
Answer:
30.4%
Step-by-step explanation:
what is the reciprocal of 2 8/9
9/26
2 8/9 = 26/9
Reciprocal of 16/9 is 9/26
what is 3/4 - (-4/5)
Answer: 1,55
Step-by-step explanation:
3/4 - (- 4/5) = 3/4 + 4/5 = (3x5)/20 + (4x4)/20 = 15/20 + 16/20 = 31/20 = 1,55
3/4 - (- 4/5) = 3/4 + 4/5 = 0,75 + 0.8 = 1,55
Mrs. Li wants to compare her students’ test scores to the school average. She created a table to help her.
Answer:
Cierra & Fionna
Step-by-step explanation:
Anything 0 and above would represent someone passing or getting it spot on. The negatives mean below the average of other students.
To address a falling GDP, a government may:
A. raise interest rates to allow businesses to borrow more money.
B. reduce the amount of money it puts into circulation.
C. invest in programs in order to help people in need.
D. lower interest rates to allow businesses to borrow more money.
Answer: D. Lower interest rates to allow businesses to borrow more money
Step-by-step explanation:
just took the test
To address a falling GDP, a government may lower interest rates to allow businesses to borrow more money. The correct option is A.
What is GDP?Real GDP (short for real GDP) is a macroeconomic measure of the value of economic output adjusted for price changes. This adjustment transforms the money-value measure, nominal GDP, into an index for the quantity of total output.
It is computed using the prices of a given base year. To calculate Real GDP, you must first determine how much GDP has been changed by inflation since the base year and then divide that amount by the number of years.
A government may lower interest rates to allow businesses to borrow more money in order to address a falling GDP.
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Find the equation of the line with slope −2 and that contains the point (−9,−7). Write the equation in the form y=mx+b and identify m and b.
Answer:
m = -2 which is the slope
b = 2 which is the intercept of the line.
Step-by-step explanation:
We have that the line must pass through the following points (-9, -7). These two points are any two of the numerous points that pass through the straight line. We can designate variables to each of these points as shown below
Let us take our [tex]y_1 = -7[/tex] and [tex]x_1 = -9[/tex]
Given the slope as [tex](y-y_1)/(x-x_1)=-2[/tex]
[tex](y--7)/(x--9) = -2[/tex]
[tex](y +7)/(x+9) =-2[/tex]
[tex]y +7 = -2(x+9)[/tex]
[tex]y =-2x+2[/tex]
We are given the form: y=mx+b.
we can compare this with our equation for the line. [tex]y =-2x+2[/tex]
We can see that m = -2 which is the slope and b = 2 which is the intercept of the line.
The inequality x2 – 5x + 3 < 3 can be broken down into two related inequalities. The graphs of these related inequalities are shown on the graph to the left. Which set shows the solution to the inequality?
Answer:
A (0,5)
Step-by-step explanation:
Look where both lines intersect.
Answer:
(0, 5)
Step-by-step explanation:
A board of length (6x4 + 9x2- 21) meters is to be cut into three pieces of the same length. Find the length of each
piece.
Answer:
(2x⁴ + 3x² -7)
Step-by-step explanation:
Length is
(6x⁴ + 9x²- 21)It is to be divided by 3.
Note when dividing the polynomial by any value each of the terms is divides by same value:
(6x⁴ + 9x²- 21)/3 = 6x⁴/3 + 9x²/3 - 21/3 = 2x⁴ + 3x² -7Each piece is (2x⁴ + 3x² -7) meters long
Which number is equal to 10 Superscript negative 3
Answer:
1/1000 or 0.001.
Step-by-step explanation:
10 ^-3
= 1/10^3
= 1/1000.
the four fastest times in a race were 27.08 seconds 27.88 seconds 27.8 seconds and 26.78 seconds between which two times does 27.84 belong
V - W = uvw, solve for w
how do I do that?
Answer:
[tex]W=\frac{V}{UV+1}[/tex]
Step-by-step explanation:
[tex]V-W=UVW\\\\V-W+W=UVW+W\\\\V=UVW+W\\\\V=UVW+W\\\\V=W(UV+1)\\\\\frac{1}{UV+1}(V)= \frac{1}{UV+1}(W)(UV+1) \\\\W=\frac{V}{UV+1}[/tex]
Lisa paid $35.00 to join an online music service. If she purchases 18 songs each month at a cost of $0.75 per song, what will be the total amount she has spent after 4 months?
Answer:
Hi there!
Your answer is:
$89
Step-by-step explanation:
35+18x(.75)
Plug in 4 for x.
35+ 18(4) × (.75)
35+ 54
89$
Hope this helps
Chen burns 354 calories in 1-hour swimming. He swam for 28 hours last month. How many calories did Chen burn in all last month from swimming?
Answer: he burned 9912 calories all last month
If F(x)=4x-3, evaluate the following a. F(5) b. F(-4)
Answer:
F(5) = 17, F(4) = -19
Step-by-step explanation:
F(5) = 4(5) - 3
F(5) = 20 - 3
F(5) = 17
F(4) = 4(-4) - 3
F(4) = -16 - 3
F(4) = -19
What type of number is negative 15 over 3
Answer:
Rational number
Step-by-step explanation:
Rational numbers are defined as the quotient (division result) of two integers
The formula to convert Celsius to Fahrenheit is F= 90+32. Convert 87°F to
Celsius. Round to the nearest degree.
O A. 55°C
O B. 31°C
O c. 16°C
O D. 99°C
SUBMIT
An airplane flies at an altitude of 14,690 ft while a submarine is submerged at a depth of 521 feet below the surface of the ocean.. What is the difference between these two elevations? Write an algebraic expression for the given applied problem. Simplified the algebraic expression. In the context of the applied problem, explain what your simplified algebraic expression represents.
Answer:
[tex]d_{T} = d_{A}-d_{S}[/tex]. The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.
Step-by-step explanation:
Let be [tex]d[/tex] the distance between a vehicle and sea level, [tex]d > 0[/tex] when vehicle is above sea level, otherwise is below sea level. The difference between airplane and submarine ([tex]d_{T}[/tex]), measured in feet, is obtained by the following expression, that is:
[tex]d_{T} = d_{A}-d_{S}[/tex]
Where:
[tex]d_{A}[/tex] - Distance of airplane with respect to sea level, measured in meters.
[tex]d_{S}[/tex] - Distance of submarine with respect to sea level, measured in meters.
If we know that [tex]d_{A} = 14690\,ft[/tex] and [tex]d_{S} = -521\,ft[/tex], then:
[tex]d_{T} = 14690\,ft - (-521\,ft)[/tex]
[tex]d_{T} = 15211\,ft.[/tex]
The algebraic equation represents the distance of the airplane with respecto to the submarine. The distance between the two elevations is 15211 feet.
The algebraic equation represents the distance of the airplane with respect to the submarine is,
[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]
And the distance between the two elevations is 15,211 feet.
Given that,
An airplane flies at an altitude of 14,690 ft,
While a submarine is submerged at a depth of 521 feet below the surface of the ocean.
We have to determine,
What is the difference between these two elevations?
According to the question,
Let, x be the distance between a vehicle and sea level when the vehicle is above sea level, otherwise is below sea level.
The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine, measured in feet, is obtained by the following expression, that is:
[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s[/tex]
Where [tex]\rm x_a[/tex] represents the distance of airplane with respect to sea levels.
And [tex]\rm x_s[/tex] represent the distance of the submarine with respect to sea levels.
Submerged at a depth of 521 feet below the surface of the ocean,
[tex]\rm x_s = -521 \ feet[/tex]
Therefore,
The difference between an airplane [tex]\rm x_a[/tex] and [tex]\rm x_s[/tex] a submarine is,
[tex]\rm The \ difference \ between \ both \ elevation = x_a- x_s\\\\ The \ difference \ between \ both \ elevation = 14,690-(-521)\\\\\rm The \ difference \ between \ both \ elevation = 15,211 \ feet[/tex]
Hence, The difference between these two elevations is 15,211 feet.
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Simplify.
-(1 - 3)2 - 2x2
3. Casey wants to do some baking. She has 6 cups of flour. One of the recipes she wants
to make calls for 3 cups of flour. Another recipe calls for cup of flour. The final recipe
calls for 2 cups of flour.
Will Casey have enough flour to make all three recipes? If so, wills she have any left
over? How much?
Step-by-step explanation:
assuming cup of flower means 1 cup of flower
3+2+1=6
She has enough to make the three recipes and she has nothing left over
can you help for me 20x+5y=15 for y
2(x+y) = 2x + 2y
what property is this
Answer:
Distributive Property.
Step-by-step explanation:
You distribute the 2 to each of the terms.
20194+9283 - 372 = ?
will give brainliest or whatever
20,194+9,283 - 372 = 29,105
How many 1/6s are in 2/3?
Answer:
four
Step-by-step explanation:
there are 4 1/6s in 2/3. 1/6 times four is 4/6. divide numerator and denominator by two to simplify, and you get 2/3. I hope this is correct :)
The number 1/6 s in the fraction 2/3 are 4.
The given fractions are 1/6 and 2/3.
Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.
Number of 1/6s are in 2/3
= 2/3 ÷ 1/6
= 2/3 × 6/1
= 4
Verification:
1/6 + 1/6 + 1/6 + 1/6
= 4/6
= 2/3
Therefore, the number 1/6 s in the fraction 2/3 are 4.
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h=vt+1/2gt^2 solving for G
GIVING BRAINLISEST
Answer:
[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle h = vt+\frac{1}{2}gt^2[/tex]
And we want to solve for g, the acceleration due to gravity.
Proceed with algebra:
[tex]\displaystyle \begin{aligned} h & = vt + \frac{1}{2}gt^2 \\ \\ h - vt & = \frac{1}{2}gt^2 \\ \\ gt^2& = 2(h-vt) \\ \\ g &= \frac{2(h-vt)}{t^2}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]
Answer:
g = [tex]\frac{2(h - vt)}{t^2}[/tex]
Step-by-step explanation:
Given
h = vt + [tex]\frac{1}{2}[/tex] gt² ( subtract vt from both sides )
h - vt = [tex]\frac{1}{2}[/tex] gt² ( multiply both sides by 2 to clear the fraction )
2(h - vt) = gt² ( divide both sides by t² )
[tex]\frac{2(h-vt)}{t^2}[/tex] = g
What’s the answer to x/2-12= -14
Answer:
x = -4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x /2 −12=−14
1 /2 x+−12=−14
1/ 2 x−12=−14
Step 2: Add 12 to both sides.
1 /2 x−12+12=−14+12
1 /2 x=−2
Step 3: Multiply both sides by 2.
2*( 1 2 x)=(2)*(−2)
x = −4
Answer:
-1
Step-by-step explanation:
step 1: X/2-12=-14
step2 : X/2=-14+12
step3 : X/2=-2
step4 : X=-2/2
step5 : X=-1
Suppose a necklace is made from 18-karat gold and weighs 54 grams. Find the weight, in grams, of the pure gold in the necklace.
I work part time at a jeweler, that necklace would be worth about 3.3K and then also you didn't provide what the effect is. Wouldn't the necklace remain as 54 grams?
Simplify. 5-10 | 0.8 - 3/5 | A. –5 B. –1 C. 3 D. 5
Answer:
I dont know what to do... i know I keep bothering you, but you actually give me advice. My favorite advice youve given me was probably, so sus ;)
Step-by-step explanation:
That was an inside joke for anyone else who see this haha