Solve 2x + 8 + 5x - 2 = 90
Answer:
x=12
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+8+5x−2=90
Step 1: Simplify both sides of the equation.
2x+8+5x−2=90
2x+8+5x+−2=90
(2x+5x)+(8+−2)=90(Combine Like Terms)
7x+6=90
7x+6=90
Step 2: Subtract 6 from both sides.
7x+6−6=90−6
7x=84
Step 3: Divide both sides by 7.
7x7=847
x=12
Angelina wants to prove that vertical angles are congruent. She uses the diagram below to formulate her proof.
Angelina has one step wrong in her proof. The steps of her proof are shown below. Mark the step that is INCORRECT.
A.
Linear pairs of angles are complementary, hence, m∠2 + m∠3 = 90°.
B.
Subtracting m∠3 from both sides of the above equation gives m∠2 = m∠4.
C.
In my proof, I used m∠2 + m∠3 = m∠3 + m∠4 to justify linear pairs.
D.
By definition of congruent angles, ∠2 ≅ ∠4. This will show that ∠2 and ∠4 are veritcal angles.
Answer:
Option (A)
Step-by-step explanation:
Correct proof to prove the vertical angles are congruent :
1). Linear pairs of angles are supplementary.
m∠2 + m∠3 = m∠3 + m∠4
2). By subtracting m∠3 from both the sides of the above equation.
3). By definition of congruent angles, ∠2 ≅ ∠4. This will show that ∠2 and ∠4 are vertical angles.
Therefore, Option (A) is incorrect in which Angelina showed that linear pairs of angles are complementary.
Can some help me out? TIA
Answer:
11.2
Step-by-step explanation:
15×15-10×10=125
Square root of 125 to the nearest tenth is 11.2
An executive wishes to take out a $1,200,000 mortgage. The yearly interest rate on the loan is 1.95% and the loan is for 20 years. Payments will be made monthly. Calculate the total interest payable.
Round your answer to the nearest thousand dollars.
Do NOT round until you have calculated the final answer.
Answer: 6042.23
Step-by-step explanation:
P0=d(1−(1+rk)−Nk)(rk).
We have P0=$1,200,000,r=0.0195,k=12,N=20, so substituting in the numbers into the formula gives
$1,200,000=d(1−(1+0.019512)−20⋅12)(0.019512),
that is,
$1,200,000=198.602327d⟹d=
The total interest payable is $4,68,000.
Given,
An executive wishes to take out a $1,200,000 mortgage.
The yearly interest rate on the loan is 1.95% and the loan is for 20 years.
Payments will be made monthly.
Calculate the total interest payable.
Round your answer to the nearest thousand dollars.
What is simple interest?It is given by:
SI = (P x R x T) / 100
P = principal amount
R = rate
T = time
We have,
P = $1,200,000
R = 1.95%
T = 20 years
SI = (P x R x T) / 100
SI = (1200000 x 1.95 x 20) / 100
SI = (1,200,000 x 195 x 20) / 100 x 100
SI = 120 x 195 x 20
SI = $4,68,000
Thus the total interest payable is $4,68,000.
Learn more about simple interests here:
https://brainly.com/question/14890644
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what is the value of x
x + 75 + x + 125 = 180
2x = 180-75-125
2x = -20
x = -10
Answer:
A/Q
X+75+x+125=180
=>2x+200=180
=>2x=180-200
=>x=-20/2
Hence,the value of x=-10
Prior to the 2008 Republican primary for President, the December 21, 2007 Grand Haven Tribune had an article about results from a poll of 621 likely Michigan Republican voters. Quoting from the article: The survey of 621 likely Republican primary voters shows Romney at 21 percent, Huckabee at 19 percent, Guiliani at 12 percent and John McCain at 10 percent. Ron Paul and Fred Thompson each got 4 percent, while Duncan Hunter and Tom Tancredo each got 1 percent.
Required:
a. What is the sample size?
b. Make a frequency table of the results that includes both frequencies (counts) and relative frequencies
Answer:
a
The sample size is n = 621
b
Voters Relative Frequency Frequency
Romney 0.21 130
Huckabee 0.19 118
Guiliani 0.12 75
John McCain 0.10 62
Ron Paul 0.04 25
Fred Thompson 0.04 25
Duncan Hunter 0.01 6
Tom Tancredo 0.01 6
Undecided votes 0.28 174
Step-by-step explanation:
From the question we are told that
The number of voters is n = 621
The voter election aspirants and their relative frequency are
Romney , 0.21
Huckabee , 0.19
Guiliani , 0.12
John McCain ,0.10
Ron Paul , 0.04
Fred Thompson 0.04,
Duncan Hunter 0.01
Tom Tancredo 0.01
Undecided votes 0.28
This undecided vote is used to represent votes that did not count and it is obtained by subtracting the other relative frequencies from 1 (i.e 100%)
Generally the frequency is mathematically represented as
Romney , 621 * 0.21 = 130
Huckabee , 621 * 0.19 = 118
Guiliani , 621 * 0.12 = 75
John McCain 621 * 0.10 = 62
Ron Paul , 621 * 0.04 = 25
Fred Thompson 621 * 0.04 = 25
Duncan Hunter 621 * 0.01 = 6
Tom Tancredo 621 * 0.01 = 6
Undecided votes 621 * 0.28 = 174
So the table is
Voters Relative Frequency Frequency
Romney 0.21 130
Huckabee 0.19 118
Guiliani 0.12 75
John McCain 0.10 62
Ron Paul 0.04 25
Fred Thompson 0.04 25
Duncan Hunter 0.01 6
Tom Tancredo 0.01 6
Undecided votes 0.28 174
Which linear equation represents the data given in the table?A) y = 7x + 4B) y = 4x + 7C) y = 7x − 4D) y = 4x − 7
Answer:
Step-by-step explanation:
Linear equations are equations that have constant slopes
The linear equation that represents the table is (a) y = 7x +4
How to determine the linear equation
Start by calculating the slope (m) using:
So, we have:
Simplify
The equation is then calculated as:
So, we have:
Open the brackets
Hence, the linear equation that represents the table is (a) y = 7x +4
The area of the garden is 96 square feet. The width of the garden is 8 feet. What is the length of fencing needed to put around the garden?
Answer:
12 ft
Step-by-step explanation:
Length = x
Area = length * width = x * 8 = 8x
so 8x = 96
x = 12 ft
8r+12p-3p
I cant figure thia on out
Answer:
8r + 9p
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variables as well as the same amount of said variable.
In this case, combine 12p with -3p
8r + 12p - 3p
8r + (12p - 3p)
8r + 9p
8r + 9p is your answer.
~
While adding such algebraic expressions, we combine the like terms which contains the same variables infact same degree of variables.
Given expression:
8r + 12p - 3pHere 12p and 3p are like terms because they are having same variable that is p. So, we can compute any operation like hear it's subtraction.
➝ 8r + (12p - 3p)
➝ 8r + 9p
Now no more like terms are there, So the final answer is 8r + 9p. And we are done!
Carry On Learning [tex]![/tex]
-15x+3g=9 solve for y
Answer:
its nothing bc there is no y
Step-by-step explanation:
4^-3x=4^x-1 solve please
Answer:
x = 1 over 4 ( which is also 0.25 and x=2^-2)
Step-by-step explanation:
4^-3x = 4^x-1
-3x = x - 1
-3x - x = -1
-4x = -1
divide both sides
x = 1 over 4
i’ll mark brainlest to whoever answers this question first! :)
Answer:
y = -4x - 1
Step-by-step explanation:
Slope-intercept form = y = mx + b with, m = slope, and b = y-intercept
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
y= -4x-1
Step-by-step explanation:
1
2
3
4
5
6
8
9
10
Which is the graph of y = 3x + 1 - 2?
4
2
2 4 6 8 10 x
-10 -8 -6
6 -1 -2,-
-2-
Answer:
don't you substitute the the x to find y
It pays 6% interest annually for 2 years.
Liam would like to earn $750 in interest.
How much money does he need to put in?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$750\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &2 \end{cases} \\\\\\ 750 = (P)(0.06)(2)\implies \cfrac{750}{(0.06)(2)}=P\implies 6250=P[/tex]
William has 3 shipping containers that measure 4 feet by 8 feet by 16 feet. He wants to fill all of the containers with 4-foot cubes. How many cubes can he pack if all the containers are full?
If each cube can get William $24.25 profit, how much will he make?
The graph below represents a rock climbers height as she acends a hill. Part A- The above graph is (circle one) linear/ nonlinear. Part B- Is the above graph a function? Explain.
Answer:
Part A: its linear
Part B: it is a function
Step-by-step explanation:
Lines M and N are parallel. Find the measure of ∠b.
Answer: C
Step-by-step explanation:
Alternate interior angles theorem
Which statement correctly compares the function shown on this graph with the function y =5x+5. A. The function shown on the graph has a greater rate of change, but a lower starting point. O B. The function shown on the graph has a greater rate of change and a higher starting point. O C. The function shown on the graph has a smaller rate of change, but a higher starting point D. The function shown on the graph has a smaller rate of change and a lower starting point.
The function shown on the graph has the same rate of change, but a higher starting point
Fine the diagram needed attached.
The rate of change of the line is the slope of the line. The standard equation of a line is expressed as y = mx + b;
m is the rate of change or slopeGiven the equation y = 5x + 5, the rate of change of the expression is 5.
For the given graph, the slope of the graph is expressed as:
(2, 4) and (0, -6)
m = -6-4/0-2
m =-10/-2
m = 5
Hence the rate of change of the graph is 5.
The function shown on the graph has the same rate of change, but a higher starting point
Learn more on slope here: https://brainly.com/question/25980858
¿cuanto pesa cada uno de nuestros 3 personajes?
niña+niño niño+perro niña+perro
51kg 46kg 41kg
Resolviendo el sistema de ecuaciones veremos que:
niña = 23kgniño = 28kgperro = 18kg.¿Como resolver el sistema de ecuaciones?
Aqui tenemos el sistema de ecuaciones:
Niña + niño = 51kg
Niño + perro = 46 kg
Niña + perro = 41kg
Para resolver esto, lo primero que debemos hacer es aislar una variable en una de las ecuaciones, por ejemplo, podriamos aislar "perro" en la tercera:
perro = 41kg - niña
Ahora reemplazamos eso en la segunda para obtener:
niño + (41kg - niña) = 46kg
niño - niña = 46kg - 41kg = 5kg
niño = niña + 5kg
Ahora logramos obtener la variable "niño" en terminos de la variable "niña". Podemos reemplazar esto en la primera ecuacion del sistema.
niña + niño = 51kg
niña + (niña + 5kg) = 51kg
2*niña = 51kg - 5kg = 46kg
niña = 46kg/2 = 23kg.
Ahora que sabemos esto, usamos las otras ecuaciones para encontrar el peso del niño y el perro:
niño = niña + 5kg = 23kg + 5kg = 28kg
perro = 41kg - niña = 41kg - 23kg = 18kg.
Sí quieres aprender más sobre sistemas de ecuaciones, puedes leer:
https://brainly.com/question/17174746
write an equation of a line through (5,6) and perpendicular to the line through (4,8) and (-2,-18)
need this for test
Answer:
[tex]y-6=-\frac3{13}(x-5)[/tex]
Step-by-step explanation:
Get the slope of the line between the two points. As usual, [tex]m= \frac{\Delta y}{\Delta x}= \frac{8-(-18)}{4-(-2)}=\frac{8+18}{4+2}=\frac{26}{6}=\frac{13}3[/tex]
You want the perpendicular to it, so take it's inverse and change its sign:
[tex]m_p=-\frac3{13}[/tex]
At this point, it's just using the point-slope form, and you're done - unless you're required to provide the line in a specific way, which usually means just crunching numbers and rewriting the equation
[tex]y-y_0=m_p(x-x_0)\\y-6=-\frac3{13}(x-5)[/tex]
Answer:
y=-3/13x+7.15384615385
Step-by-step explanation:
y=mx+b
We want to find the slope first so will find the slope of the line that is perpendicular to our line.
y2-y1/x2-x1
-18-8/-2-4=
-26/-6=
13/3
The slope of the other line is 13/3
To find the slope of our line we can do the opposite reciprocal of 13/3 which is -3/13.
Let's plug that in with the other values to find y-intercept
6=-3/13*5+b
6=-1.15384615385+b
b=7.15384615385
I have no idea why our number is super weird but um yea
A warehouse holds 7,140 shoeboxes. Each aisle holds the same number of
boxes. How many aisles could there be?
Answer:
5
10
4
Step-by-step explanation:
Those numbers do into 7140 with no remainder
Measure each angle. Then classify each angle as acute, right, obtuse, or straight.
Answer:
Before solving these, we must know;
· A 90° angle forms a right angle.
· A 180° angle forms a straight angle.
· Any angle greater than a 90° angle is considered an obtuse angle (x > 90 = obtuse).
· Any angle less than a 90° angle is considered an acute angle (x < 90 = acute).
(Use a protractor to measure each angle)Now just eyeing these, I can tell that;
1. Is acute, because it looks like it is smaller than a 90° angle(right angle).
2. Is straight, because it looks fairly like a straight line(which measures 180°).
3. Is obtuse, because it looks greater than a 90° angle(right angle).
4. Is right, because it looks exactly like a 90° angle(right angle).
Steps on how to use a protractor;Align the dot in the center of the protractor(which has labeling measurements of inches/centimetres) with the intersection of the angles. It should be straight on the line of the angle you are measuring.Use the inner-band of the protractor when measuring an angle that is slanted to the right.Use the outer-band of the protractor when measuring an angle that is slanted to the left.If Tim had lunch at $50.50 and he gave 20% tip, how much did he spend?
Answer:
Tim spent $60.60 for his lunch.Step-by-step explanation:
The tip is 20% of what he paid for lunch. Hence
tip = 20% of 50.50 = (20/100)*50.50 = 101/100 = $10.10
Total spent
50.50 + 10.10 = $60.60
So hence, Tim spent $60.60 for his lunch.
-----------------------------------------------------------—-----------------------------------------------
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Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~
Question 4 Part A (5 points):
Carlos started a business growing palm trees in South Florida.
The function t(s) = 3s + 20 represents the
number of palm trees that grew, where s is the
number of seeds he planted.
The function s(d) = 20d represents the number
of seeds he plants per day, where d represents
the number of days.
Write a composite function that represents
how many palm trees Carlos can expect to
grow over a certain number of days.
Answer:
t(d) = 60d + 20
where t(d) is the number of palm trees grown, and d is the number of days
Step-by-step explanation:
Given function:
t(s) = 3s + 20
where:
t(s) = number of palm trees growns = number of seeds plantedGiven function:
s(d) = 20d
where:
s(d) = number of seeds planted per dayd = number of daysTo determine the composite function that represents how many palm trees Carlos can expect to grow over a certain number of days, simply substitute s = 20d into t(s) = 3s + 20:
⇒ t(d) = 3(20d) + 20
⇒ t(d) = 60d + 20
where t(d) is the number of palm trees grown, and d is the number of days.
5. Consider the following polynomial function.
g(x) = x + 4w2y? - 11wx?
30wx
The following graph represents the function.
62
35
18
He
P12
6 7 8 9 10
-12
-18
-24
-30
-15
-
-54
Find the value of w.
Answer:
w = 1
Step-by-step explanation:
y = [tex]x^{4}[/tex] + 4w²x³ - 11wx² - 30wx
if x = 3 , then y = 0
[tex]3^{4}[/tex] + 4w²( 3 )³ - 11w( 3 )² - 30w( 3 ) = 0
108 w² - 99 w - 90w + 81 = 0 ........ (1)
(1) ÷ 9
12w² - 21w + 9 = 0 ⇒ [tex]w_{1}[/tex] = 1 and [tex]w_{2}[/tex] = [tex]\frac{3}{4}[/tex]
"1" the value for w that match the graph.
w = 1
Solve this expression. 2.2-0.5(0.6x-1.8)
Answer:
3.1 - 0.3x
Step-by-step explanation:
2.2-0.5(0.6x-1.8)
2.2-0.5×0.6x-0.5×(-1.8)
2.2-0.5×0.6x+0.5×1.8
2.2-0.3x+0.5×1.8
2.2-0.3x+0.9
answer: 3.1-0.3x
Maximo likes to eat cookies for breakfast every day. He eats 2 cookies per day. Three days after opening a box of cookies, there are 6 cookies left on the box. How many cookies were there at the start?
Answer:
There were 12 cookies at the start
Step-by-step explanation:
Since Maximo likes to eat 2 cookies per day, after three days, he would have eaten 6 cookies. There are 6 cookies left after 3 days, so 6(amount he ate) + 6(amount of cookies left) is 12.
Kammi wrote the numbers -3, -3.5, 4, and -4.5 in order from least to greatest. How did she write the numbers?
Since she is writing the numbers from least to greatest, they would be written like this:
-4.5, -3.5, -3, 4
The greater the negative number, the more the value decreases. Negative numbers are always less than non-negative numbers.
Elsa earns $140 for working 20 hours.
What is Elsa's rate of pay for each hour she works?
A) $6.50 per hour
B) $7.00 per hour
C) $7.25 per hour
D)$8.00 per hour
Answer:
$7
Step-by-step explanation:
Suppose she is earning an equal amount for each hour she works:
$140 = 20h divide both sides by 20
$7 = 1h she earns $7 per hour
Write 23.4571 correct to
4 significant figures
Step-by-step explanation:
23.4571
Sig Figs6
Decimals4
Scientific Notation2.34571 × 101
Words twenty-three point four five seven one