Answer: x = 21
Step-by-step explanation: First, isolate the x term by
subtracting 5 from both sides of the equation.
We get 1/3x = 7.
Next, multiply both sides of the equation by
the reciprocal of 1/3 which is 3/1 to get x by itself.
On the left, 3/1(1/3) cancels and on the
right when we multiply 7(3/1), we get 21.
So we have x = 21.
Evaluate the expression:
x^2+2x−xy when x = 250 and y = −120
Answer:
33000
Step-by-step explanation:
Substituting 250 for x and -120 for y, we get:
(250)^2 + 2(250) - (250)(120) = 62500 + 500 - 30000, or
32500 + 500, or 33000
6. Find the supplements of the following
c) x + 45°
angles:
b) 108°
d) į right angle
a) 65°
Answer:
c) 135°
b) 72°
d) 90°
a) 115°
Step-by-step explanation:
A supplementary pair are two angles whose measures added is equal to 180°. Set an equation with the given values plus a number (the other angle) equal to 180:
c) [tex]x+45=180[/tex]
Solve. Subtract 45 from both sides:
[tex]x+45-45=180-45\\\\x=135[/tex]
The supplement is 135°
b) [tex]108+x=180[/tex]
Solve. Subtract 108 from both sides:
[tex]108-108+x=180-108\\\\x=72[/tex]
The supplement is 72°
d) [tex]x+90=180[/tex]
Solve. Subtract 90 from both sides:
[tex]x+90-90=180-90\\\\x=90[/tex]
The supplement is 90°
a) [tex]x+65=180[/tex]
Solve. Subtract 65 from both sides:
[tex]x+65-65=180-65\\\\x=115[/tex]
The supplement is 115°
:Done
Using the Pythagorean theorem, if the hypotenuse is 17 feet long, and side a is 15 feet long. What is the missing length of side b?
Answer:
The missing side is 8 ft long
Step-by-step explanation:
According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"
mathematically it is stated as
[tex]c^2= a^2+b^2\\\\c=\sqrt{a^2+b^2}[/tex]
Given that
c, hypotenuse= 17 ft
a = 15 ft
b= ?
Applying the Pythagoras theorem formula by inserting our given parameters and solving for b we have
[tex]17^2= 15^2+b^2[/tex]
Making b subject of formula we have
[tex]b^2= 17^2-15^2\\\\b^2= 289-225\\\\b^2= 64\\\\[/tex]
Square root both sides we have
[tex]b= \sqrt{64} \\\\b= 8[/tex]
Hence the missing side is 8 ft long
Write the expression below as a single logarithm. log7 x+ log7 8-log7 9(answer options in picture).
Answer:
The last option log_7*(8x/9)
Step-by-step explanation:
You can use the rule of logarithms to solve this. In this expression you have addition and subtraction of logs so knowing that you can use multiplication and division to simplify this into a single log.
what is the importance of federal system
Can you find the square root of 250 with prime factorisation without using calculator or is it not possible?
Answer:
Not possible.
Step-by-step explanation:
250 = 2 * 5 * 5 * 5
From this you write the square root as 5 * √10 so you would have to use a calculator to get any further.
671 ÷24showing work please and thank you
Answer: 27.958333333333333333333333333333........
Step-by-step explanation: Use long division method or do rounding method round each number and divide.
Answer:
The answer is 27.9583333333
Step-by-step explanation:
24 goes into 67 two times
24+24=48
67-48=19
add back in the 1
how many times does 24 go into 191
it goes into 191 7.9583333333 times
so final answer 27.9583333333 it might be confusing but
Where does the graph of the line y = x - 2 intersect the x-axis?
O A. (0, 2)
O B. (2,0)
O C. (0, -2)
0 D. (-2, 0)
Answer:
Where does the graph of the line y = x - 2 intersect the x-axis?
O A. (0, 2)
O B. (2,0)
O C. (0, -2)
0 D. (-2, 0)
C. ( 0 , -2 )
Step-by-step explanation:
I hope this helps
Follow // Followback
The line of y=x-2 intersects the x axis at (2,0).
To find the points where line intersect the x-axis.
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.
The x-axis is defined as being at y=0 (look at a graph, the x-axis intersects the y-axis at y=0). Therefore, all you need to do is put in 0 for y, and solve for x.
y=x-2
put in 0 for y
0=x-2
add 2 to both sides
2+0=x-2 +2
x=2
Therefore the line of y=x-2 intersects the x axis at (2,0).
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Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going to take out $30 per month. Kira opened her account with a starting amount of $935, and she is going to take out $45 per month. Let x be the number of months after today.
Required:
How many months will it take you to save enough money to buy 10 acres of land on Mars?
Answer:
Step-by-step explanation:
The question is not complete, i think the correct question is:
Kareem and Kira each opened a savings account today. Kareem opened his account with a starting amount of $770, and he is going to deposit $30 per month. Kira opened her account with a starting amount of $935, and she is going to deposit $45 per month. Let x be the number of months after today
Let us assume that each acre of land on Mars cost $107.
a) For Kareem account, she started with $770 and would deposit $30 per month. Let y represent the money deposited after x month. This can be represented by the equation:
y = 770 + 30x
Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:
1070 = 770 + 30x
1070 - 770 = 30x
30 x = 300
x = 300/30
x = 10
It would take 10 months for Kareem to buy 10 acres of land
b) For Kira account, she started with $935 and would deposit $45 per month. This can be represented by the equation:
y = 935 + 45x
Since each acre cost $107, 10 acre would cost $1070. Therefore $1070 is needed to be saved. To find the number of months, substitute y = 1070 and solve. Therefore:
1070 = 935 + 45x
1070 - 935 = 45x
45 x = 135
x = 3
It would take 3 months for Kira to buy 10 acres of land
I have no clue what to do help please
Answer:
Hey there!
The question is basically asking for you to solve a fraction subtraction problem, and fill in the missing values as you solve.
The given problem is 2/3 - 1/2. However, we can't subtract right now, since the denominators are different.
2/3 can be expressed as 4/6, and 1/2 can be expressed as 3/6.
Thus, the missing denominator in line one is 6 and the missing numerator in line one is 3.
4/6-3/6=1/6.
Thus, the numerator in line two should be 1.
From top to bottom, the numbers in the three boxes should be 6, 3, and 1.
This can be a confusing topic, especially if you're just learning it. Let me know if you need additional help :)
Factor the polynomials to find if x - 5 is a root of the polynomial x^3 - 2x^2 - 13x - 10. (Use synthetic division or long division). Picture attached and answer options below.
Answer:
Option (3)
Step-by-step explanation:
Given polynomial is (x³ - 2x² - 13x - 10).
If (x - 5) is a factor of the given polynomial, other factors can be found by the synthetic division.
5) 1 -2 -13 -10
- 5 15 10
1 3 2 0
Therefore, other factor of the given polynomial will be (x² + 3x + 2)
And the factored form of the polynomial will be,
(x - 5)(x² + 3x + 2)
Option (3) will be the answer.
find the value of please help me
Answer:
10 sqrt(10)
Step-by-step explanation:
sqrt(1000)
sqrt(100*10)
we know that sqrt(a*b) = sqrt(a) sqrt(b)
sqrt(100) * sqrt(10)
10 sqrt(10)
length of the bases and h is the height, to answer the question. How many square feet of grass
are there on a trapezoidal field with a height of 75 ft and bases of 125 ft and 81 ft?
Answer:
There are 7,725 square feet of grass on the trapezoidal field
Step-by-step explanation:
Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.
What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.
To calculate this area, what we need to do
simply is to use the formula for the area of a trapezoid.
Mathematically, the area of a trapezoid can be calculated using the formula;
Area of trapezoid = 1/2 * (a + b) * h
where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.
From the question;
a, b = 81ft and 125 ft
h = 75 ft
Substituting these values, we have :
Area = 1/2 * (81 + 125) * 75
Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2
Given that y=18 + 3x² (i) find the value of y when x= -2
Answer:
y=30
Step-by-step explanation:
f(-2)=18+3(-2)^2
f(-2)=18+3*4
f(-2)=18+12
f(-2)=30
Answer:
y= 6
Step-by-step explanation:
substitute x= -2 in the equation y=18+3x^2
from there you'll get your final answer
Rewriting rational equations, 4 Parts, 25 pts. Please help, thanks!
Answer:
All parts are attached below :)
Graph the line with the equation y = -1/2x – 7
Answer:
Step-by-step explanation:
y = -1/2 x – 7
when x is 0
y = -1/2(0) - 7
y = - 7
(0,-7)
when y is 0
0 = -1/2 x - 7
1/2 x = -7
x = -7(2)
x = -14
(-14,0)
The graph of equation y = -1/2x – 7 is shown in figure.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
⇒ y = - 1/2x - 7
Hence, We get;
The graph of equation y = -1/2x – 7 is shown in figure with slope - 1/2 and y - intercept is - 7.
Thus, The graph of equation y = -1/2x – 7 is shown in figure.
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look at picture and solve
Step-by-step explanation:
As we can see, the line on the bottom is a perfectly straight 180º line, so the two angles, a and 50º are supplementary angles. Remember: Supplementary angles = 180º, and complementary angles = 90º.
Since this is a 180º line, all we have to do is to subtract 50 from 180 to get our angle a.
180-50 = 130º
Our answer: a = 130º
The variable n represents the number of bikes in a shipping container. The weight of the container in pounds, including the
bikes, can be modeled using the expression 250 + 23 (n-1) How much will the container weigh with 20 bikes in it?
Given that :-
→ N represent the number of bikes .
→ Weight of container including bikes is 250+23(n-1) pounds.
To Find :-
→ Weight of container when we have 20 bikes.
Solution :-
→ Weight = 250+23(n-1) pounds
Putting the value of n here .
→ Weight = 250+23(20-1)
→ Weight = 250 +23(19)
→ Weight = 250 + 437
→ Weight of container is 687 pounds.An expression is defined as a set of numbers, variables, and mathematical operations. The container weight with 20 bikes in it will be 687.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that the weight of the container in pounds, including the bikes, can be modeled using the expression 250 + 23 (n-1). Therefore, the container weighs 20 bikes in it will be,
Weight of container = 250 + 23(n - 1)
= 250 + 23(20 - 1)
= 250 + 23(19)
= 250 + 437
= 687
Hence, the container weight with 20 bikes in it will be 687.
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How to convert 9hours 36 minutes to a fraction
Answer:
Step-by-step explanation:
9*60+36= 540+ 36= 576 minutes
so it is = 576/ 60 hours
Need help on INEQUALITY
Answer:
A and D
Step-by-step explanation:
3 - 5x > 2
= -5x > 2-3
= -5x > -1
= x < 1/5
Answer:
The correct answer is A. x = 1 or D. x = 7.
Step-by-step explanation
For this problem, we can substitute each of the values and see which ones make the inequality true.
Using x = 1
3 - 5(1) > 2
3 - 5 > 2
-2 > 2
This is not true, so this is not our solution. However, I will show the rest of the solutions anyways.
Using x = 0
3 - 5(0) > 2
3 - 0 > 2
3 > 2
This is true, so x = 0 is a solution to the inequality.
Using x = -1
3 - 5(-1) > 2
3 + 5 > 2
8 > 2
This is true, so x = -1 is a solution to the inequality.
Using x = 7
3 - 5(7) > 2
3 - 35 > 2
-32 > 2
This is not true, so x = 7 is not a solution to the inequality.
Ethan stands 256 cm at point C from a lamp post AB. He is 180 cm tall and his shadow from the lamp is 144 cm long. Find the height AB, in metres, of the lamp post.
Answer:500 cm
Step-by-step explanation:
Given
height of ethan = 180 cm
length of shadow =144 cm
Distance of ethan from lamp =256 cm
from diagram, we can write
[tex]\Rightarrow tan \theta =\frac{FC}{EC}\quad \ldots(i)[/tex]
[tex]\Rightarrow \tan \theta =\frac{AB}{BE}\quad \ldots (ii)[/tex]
From (i) and (ii) we get
[tex]\tan \theta =\frac{FC}{EC}=\frac{AB}{BE}[/tex]
[tex]\Rightarrow \frac{180}{144}=\frac{h}{144+256}[/tex]
[tex]\Rightarrow h=\frac{180}{144}\times 400[/tex]
[tex]\Rightarrow h=500\ cm[/tex]
So, height of lamp post AB is [tex]500\ cm[/tex]
4 lines are shown. A line with points E, C, D is horizontal. Another line intersects the line at point C and extends up and to the right to point A. Another line intersects the line at point C and goes down and to the right to point B. Another line connects to all 3 lines. It goes from point A, to point D, to point B. Use the diagram to identify the special angle pairs. ADC and BDC are . A pair of complementary angles is angles .
Answer
Supplementary and ACD and BCD
Step-by-step explanation:
edgenuity
Answer: supplementary & ACD and BCD
Step-by-step explanation: edge2022
GUYS PLEASE HELP ME ILL MARK BRIANLIEST AND GIVE EXTRA POINTS I NEED IT ASAP
1. The sum of a number and 81 is greater than the product of 3 and that number. What are the possible values for the number?
2. Which is NOT a solution of the inequality LaTeX: 5-2x≥-3 (A) 0 (B) 2 (C) 4 (D) 5
3. Write the following statement as an inequality: 8 less than a number w is under 35.
4. Solve for t: 3-4t<19 5. Jason is saving up to buy a new phone that costs $490 (I wish they were still this cheap). So far, he's saved $175. He would like to buy the camera no later than 3 weeks from now. What is the inequality used to represent how much he must save every week to have enough money to purchase the camera? (hint: when the wording is tricky, as it is in this problem, solve the problem as if it were an equation. That is to say, as if Jason was trying to save the money in exactly 3 weeks. Then decide on the sign that makes most sense).
Q1
[tex]n > \frac{81}{2} [/tex]
Q2 D
sry I don't hv time to ans more
Deshaun needs to memorize words on a vocabulary list for Russian class. He has 24 words to memorize, and he is three-fourths done. How many words has Deshaun memorized so far?
Answer:
He has memorized 18 words
Step-by-step explanation:
(3/4)*24 = 18
Plz help ASAP Will give brain and 100 points!!!! Is the equation x(x-6)=-5 a quadratic equation? 1. The equation is an quadratic equation because there is an x^2-term 2. The equation is not quadratic equation because the expression is not equal to zero. 3. The equation is not an quadratic equation because there is a term with degree higher than two. 4. The equation is not a quadratic equation because there is no x^2-term.
Answer:
Solution : First Option
Step-by-step explanation:
This equation is quadratic as there is a " x^2 " term present. If you were to expand the equation,
x(x - 6) = - 5,
x^2 - 6x = - 5,
x^2 - 6x + 5 = 0
As you can see this resembles a quadratic equation. Your solution will be the first option, 1. The equation is a quadratic equation because there is an x^2 term
Answer:
The equation is an quadratic equation because there is an x^2-term 2
Step-by-step explanation:
why are halves a good choice for benchmark fractions for 1 1/3
Answer and explanation:
Benchmark fractions are fractions that are used as references in measuring other fractions. They are easily estimated and so can be used in measuring more "specific" fractions such as 1/5, 7/9, 3/7, 1/3 etc. If I wanted to measure 1 1/3cm for instance using a calibrated ruler, having centimeter measurements, I would first find 1cm on the ruler and then find half of one centimeter. Seeing that half is bigger than 1/3 but close, I could then estimate 1/3 to be somewhere less than 1/2 but a bit close to it
Solve 2(3x+6)=3(x-9)
Answer:
-13
Step-by-step explanation:
See steps below:
2(3x+6)=3(x-9) ⇒ distribution6x + 12 = 3x - 27 ⇒ grouping like terms6x - 3x = -27 - 12 ⇒ simplifying3x = -39x= -39/3x = -13 ⇒ answer●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{-13}[/tex]
Let's solve your equation step-by-step.
[tex]2(3x+6)=3(x-9)[/tex]
Step 1: Simplify both sides of the equation.
[tex]2(3x+6)=3(x-9)[/tex]
[tex](2) (3x) + (2) (6) = (3)(^{x}) + (3) (-9)[/tex] (Distribute)
[tex]6x + 12 = 3x + -27[/tex]
[tex]6x + 12 = 3x -27[/tex]
Step 2: Subtract 3x from both sides.
[tex]6x + 12 - 3x = 3x - 27 - 3x\\3x + 12 = -27[/tex]
Step 3: Subtract 12 from both sides.
[tex]3x + 12 - 12 = -27 - 12\\3x = -39[/tex]
Step 4: Divide both sides by 3.
[tex]\frac{3x}{3} = \frac{-39}{3}\\x = -13[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Can someone give me the answers for the number frame and how you did it, I’m confused :)
Answer:
16, 56, ...
Step-by-step explanation:
It looks like you have to put in each cell the multiplication of the row and the column, so the columns are 2, 7, 4 etc., and the row is always 8.
First cell: 2x8 = 16
Second cell: 7x8 = 56
and so on
It teaches you to apply the multiplication in a random sequence; you should be able to do this in your head.
Which of the following statements is correct baded on the number line below?
Answer:B&D
Step-by-step explanation:
Which point is the best estimate of 11?
А А.
B
D
E
toh
to
.
3
4
Pls help me it’s due today! >_
Answer:
B
Step-by-step explanation:
Step 1: Find √11
√11 is between perfect squares √9 and √16
√9 < √11 < √16
3 < √11 < 4
So it is between 3 and 4
Step 2: Evaluate
√11 = 3.31662
Closest dot is B.