Answer:
34
Step-by-step explanation:
3x+5(2+x)=4x-7 help me out here?
Answer:
x = -17/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
3x + 5(2 + x) = 4x - 7
Step 2: Solve for x
[Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7[Addition] Combine like terms: 8x + 10 = 4x - 7[Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7[Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17[Division Property of Equality] Divide 4 on both sides: x = -17/4Answer:
x=[tex]\frac{-17}{4}[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x+5(2+x)=4x−7
3x+(5)(2)+(5)(x)=4x+−7(Distribute)
3x+10+5x=4x+−7
(3x+5x)+(10)=4x−7(Combine Like Terms)
8x+10=4x−7
8x+10=4x−7
Step 2: Subtract 4x from both sides.
8x+10−4x=4x−7−4x
4x+10=−7
Step 3: Subtract 10 from both sides.
4x+10−10=−7−10
4x=−17
Step 4: Divide both sides by 4.
[tex]\frac{4x}{4}[/tex]=[tex]\frac{-17}{4}[/tex]
x=[tex]\frac{-17}{4}[/tex]
A school pays $1,825 for 150 shirts. This includes the $25 flat-rate shipping cost.
a. What equation models the total cost as a function of the number of T-shirts
ordered?
b. What does each variable represent?
c. What are the initial value and rate of change of the function? What does each
one represent?
Answer:
a)
We know that the total cost for the 150 shirts (plus a flat-rate of $25) is $1,825.
First, let's find how much costs each shirt.
First, the total cost of the shirts alone (neglecting the flat-rate) is:
$1,825 - $25 = $1,800
Then each shirt costs equal to the quotient of the cost and the number of shirts:
$1,800/150 = $12
Each shirt costs $12.
Then if you order T shirts, the total cost will be the flat-rate of $25 plus T times $12. The equation is:
C(T) = $25 + T*$12
b) C represents the cost
T represents the number of shirts ordered.
c) The initial value is the constant value, in this case, is $25
The rate of change is the coefficient that multiplies the independent variable (T), in the equation the rate of change is $12.
9. In the diagram below, Angle A is 50 degrees. What is angle B?
Answer:
130
Step-by-step explanation:
Angle B = 180 - Angle A
180 - 50 = 130
Answer:
The answer is 130 degrees.
Step-by-step explanation:
A+B should be 180, so with A being 50; B has to be 130.
McNeal stands at the 40 degree angle and is trying to find the width of the river. McNeal knows she is 120 feet from the tree.
A) Write a trig equation to find the river's width (nearest foot)
B) Solve your trig equation to find the river's width (nearest foot)
Answer:
Our equation is:
[tex]\displaystyle \sin(40^\circ)=\frac{w}{120}[/tex]
Solving this yields that the width of the river is about 77 feet.
Step-by-step explanation:
Part A)
We know that McNeal is 120 feet from the tree. This is the hypotenuse.
And we want to find the width of the river, which is the side opposite from our angle.
Since we want to find the side opposite to our angle and we are given the hypotenuse, we will use the sine ratio:
[tex]\displaystyle \sin(\theta^\circ)=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
Our angle is 40°.
The opposite side is unknown. We can let this be w to represent width.
The hypotenuse is 120 feet. Hence, our equation is:
[tex]\displaystyle \sin(40^\circ)=\frac{w}{120}[/tex]
Part B)
Solve for w:
[tex]w=120\sin(40^\circ)[/tex]
Use a calculator:
[tex]w=77.1345...\approx 77\text{ feet}[/tex]
The width of the river is about 77 feet.
The cumulative frequency table shows the heights (inches) of every student in Mrs. Torjman’s math class. What number should be written in the red box?
Answer:
The number 28 should be written in the red box.
Find the exact value of sin v/2, given tanv=12/5 and pi
Madison, Natalie, Isabella and Rebecca go shopping. Madison spent 4/5 of her money, Natalie spends 75% of her money,Isabella spends 0.68 of her money and Rebecca spends 17/20 of her money. Who has the largest percentage of their money left?
Answer:
you need common denominater so 10/10 - 9/10 =1/10 thats how much of her money she used.
Step-by-step explanation:
I need help asap
Which expression represents the volume of a cube with a side length of 6x?
a)6x^2
b)36x^2
c)36x^3
d)216x^3
Answer:
Option 4
Step-by-step explanation:
So formula of voulme of the cube is a³
We have the side length is 6x
So sub the value in formula we get 216x³
can someone please help me lol
thank u!
Answer:
The Slope Equation = y2 -y1 over X2 - X1
Step-by-step explanation:
1.) Pick every graph
2.) Pick any 2 point in the graph
3.) do the slope equation
4.) the answers must be equal
please help!!
x = ___ units
Answer:
x = 16 units
Step-by-step explanation:
BC = 32√2 / √2 = 32
x = 32/2 = 16
74.55 divided by 5
I’m not sure of the answer I need some help
Answer:
14.91
Step-by-step explanation:
Have a good day :)
Answer:
The answer is 14.91
Step-by-step explanation:
To find the answer we must first see how many times 5 can go into 74.55. Since 5 x 14.91 = 74.55, then it means that our answer is 14.91.
If a population doubles every 5 years, how many years will it take to reach 10 times the original amount?
Darla washed 5/9 of the windows on a building, and Cindy washed 1/9 of them. How much greater was Darla's fraction of the windows than Cindy's
Answer:Darla's fraction of the windows was 4/9 greater than Cindy's.
Step-by-step explanation:
Fraction of the window washed by Darla =5/9
Fraction of the window washed by Cindy=1/9
To find How much greater Darla's fraction of the windows was than Cindy's, we subtract ,
5/9-1/9=4/9
Thetrefore, Darla's fraction of the windows was 4/9 greater than Cindy's.
Answer:
4/9
Step-by-step explanation:
Phillip helps his neighbors with various jobs. The table shows some jobs he did, the number
of hours he worked, and the amount he was paid. Is Phillip's pay proportional to the number
of hours he works?
Use the drop-down menus to explain your answer.
Job
Fixing a Fence
Pulling Weeds
Painting a Garage
Mowing a Yard
Hours Worked
5
4.5
6
1.5
Amount Paid ($)
75
54
78
18
Answer:
Is and his pay is always a multiple of 3
Step-by-step explanation:
I did the i-Ready
Answer: his pay is always a multiple of 3
Step-by-step explanation:
A square tile has a width of 1/4 foot. How many tiles will fit end-to-end along a
4-foot wall?
16 tiles
8 tiles
4 tiles
1 tile
Answer:
16 tiles
Step-by-step explanation:
Divide 4 by 1/4 to get your answer.
This is the same as multiplying 4 by the inverse of 1/4 (which is 4/1 a.k.a 4)
4 * 4 = 16
16 tiles will fit end-to-end along a 4-foot wall.
What is the answer to: 8+(n-4)
Name a pair of adjectives
Find the greatest common factor of
10x+25y+5
Answer:
I think it is 5
Ann’s Trail Mix Recipe
5 cups oats
3 cups seeds
1 cup nuts
2 cups raisins
Find three equivalent ratios for the
ratio of nuts to oats
Answer:
5:1, 10:2, and 15:3
Step-by-step explanation:
form the truth table p v q => q
Answer:
See attached image for the table.
Step-by-step explanation:
The table shows all 4 possible truth values for statements p and q .
p v q is true if one or both of the p, q are true.
Finally, an implication (if-then) is true in every case except when the first statement (hypothesis) is true and the second (conclusion) is false.
Approximately how long will it take a 100-gram sample of francium-223 to decay to 20 grams?
Answer: 50 minutes
Answer choices:
20 minutes
70 minutes
50 minutes
30 minutes
It will take 68.8 minutes for a 100-gram sample of francium-223 to decay to 20 grams.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The decay of a radioactive substance can be modeled by the exponential decay formula:
[tex]N(t) = N_0 ~ e^{-ct}[/tex]
where:
N(t) is the amount of the substance at time t
N0 is the initial amount of the substance
c is the decay constant
t is the time elapsed since the initial measurement
The half-life of francium-223 is about 22 minutes.
t = 22
Now,
0.5 = [tex]e^{-c \times22}[/tex]
ln (0.5) = -c x 22
c = ln(2) / 22
c ≈ 0.03159
Now,
We can use the formula to solve for the time it takes for the sample to decay from 100 grams to 20 grams.
20 = 100 x [tex]e^{-0.03159t}[/tex]
[tex]e^{-0.03159t}[/tex] = 0.2
-0.03159 t = ln(0.2)
t = ln(0.2) / (-0.03159)
t = 68.8 minutes
Therefore,
It will take 68.8 minutes for a 100-gram sample of francium-223 to decay to 20 grams.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
four less than the sum of a number, x and nine is 35
Step-by-step explanation:
(x+9)-4=35x+9-4=35x=35-5x=30,stay safe healthy and happy..i need help
https://hegartymaths.com/assessment
Answer:
It is a link or not??
Solve each problem and show the work for each one.
Solve by factoring.
1. 2x^2+9x+26=-4x+5
Solve by using the quadratic formula and round to the nearest hundredth.
2. 3x^2-6x-4=0
Answer:
Solve by factoring.
1. 2x^2+9x+26=-4x+5
2x²+9x+4x+26-5=0
2x²+13x+21=0
doing middle term factorization
2x²+7x+6x+21=0
x(2x+7)+3(2x+7)=0
(2x+7)(x+3)=0
either
x=-7/2
or
x=-3.
2.
3x^2-6x-4=0
comparing above equation with ax²+bx+c=0
we get
a=3
b=-6
c=-4
By using quadratic equation
x=[tex] \frac{ - b±\sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
Substituting value
x=[tex] \frac{ 6±\sqrt{ {-6}^{2} - 4*3*-4 }}{2*-4} [/tex]
x=[tex] \frac{ 6±\sqrt{ {84}}}{-8} [/tex]
x=[tex] \frac{ 6±2\sqrt{ {21}}}{-8} [/tex]
-8x=6±2√21
taking positive
-8x=6+2√21
x=[tex] \frac{6+2√21}{-8} [/tex]
x=-[tex] \frac{3+√21}{4} [/tex]
taking negative
-8x=6-2√21
x=[tex] \frac{6-2√21}{-8} [/tex]
x=-[tex] \frac{3-√21}{4} [/tex]
Help me with the math
Answer:
See below
Step-by-step explanation:
[tex] m\angle 1 = 180\degree - (90+39)\degree = 51\degree [/tex]
[tex] m\angle 2= 90\degree -51\degree =39\degree [/tex]
[tex] m\angle 3= 90\degree[/tex]
[tex] m\angle 4 = 180\degree - (90+39)\degree = 51\degree [/tex]
[tex] m\angle 5 = 180\degree - (129+34)\degree = 17\degree [/tex]
[tex] m\angle 6 = 90\degree +39\degree = 129\degree [/tex]
Need help please!!!!
Answer:15
Step-by-step explanation:
The students in Mabel's class got to choose between pizza and burgers for the celebration on the last day of school. 12 students picked the pizza. If there are 40 students in all in Mabel's class, what percentage of the students picked the pizza?
Answer:
30%
Step-by-step explanation:
The percentage of something can be calculated by dividing that number by the total amount. In this scenario, you divide 12 by 40
12/40 = 0.3
Or, you could do it the way without doing the math and simplifying to make it easier
12/40 = 6/20 = 3/10 = 0.3 = 30%
Solve the equation for x
Answer:
B. x = -4
Step-by-step explanation:
- 7x - 35 = -7
add 35 to both sides
-7x = 28
Divde both sides by -7
x = -4
Answer: X = -4
Step-by-step explanation:
-7x - 35 = -7
-7x = -7 + 35
-7x = 28
x = -4
NEED HELP QUICKLY TYSM IF U DO :)
A new price of an item is $39.32. The percent increase was 16%. What was the original price?
Answer:
let x =the original price
then 116x/100=$39.32
116x=100×39.32
116x=3932
divide both sides by 116
116x/116=3932/116
x=33.89655
(2dp)
x=33.90