Answer: x = 3
Step-by-step explanation:
first, we calculate.
27 - 25x = -63 + 5x
then, we move the terms around.
-25x - 5x = -63 - 27
next, we collect the like terms.
-30x = -90
finally, we divide both sides.
x = 3
Find the mean and median of the data set.
There are 50, 52, 51, 48, 53, and 52 students in a school's 6 Algebra 1 classes.
The mean is-
The median is-
Answer:
Mean: 50.8 or 51 (rounded)
Median: 51.5 or 52 (rounded)
Step-by-step explanation:
To find the mean I added all the numbers then divides my sum but the number of numbers.
To find the median I listed the numbers from least to greatest.There are two middle numbers so I added the two numbers and divided the same by 2.
what is the slope and y-intercept of the line represented by 3x=15
Answer:
The slope is undefined and there is no y- intercept
Step-by-step explanation:
The line is equivelent to x=5
This is a vertical line so the slope is undefined and there is no y- intercept
Answer:
Slope: 0
Y-intercept: 5
Step-by-step explanation:
First, you need to move the equation into slope-intercept form.
Divide both sides by 3.
x = 5
Since there is no number to the right of the y - intercept, we just assume that the slope is 0.
Please mark me Brainliest, I need it to move onto the next level. <3
When solving an equation, henry...
Answer:
Infinite Solution
Step-by-step explanation:
We know that there are no variables on either die of the equation so the answer would be infinite because when you put a number for the variable it will always be true.
Hope this helps :)
I need help with Geometry
Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
Which of the following statements would guarantee that lines a and b are
parallel?
t
at
3/4
be
5/ 6
8
m2 4 = 110° and mZ6 = 110°
m2 1 = 110° and mZ5 = 110°
m2 5 = 115º and m6 = 65°
O m2 1 = 105° and m2 4 = 105
0 m2 3 = 115º and m4 = 65
9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
Angles 1 and 5 are corresponding. When they are congruent, the lines are parallel. The correct answer choice is marked.
How does the equation change if tamira has 60 dollars to spend on a mixture of almonds and cashews? How many pounds of nuts can she buy if she buys only cashews ? Only almods? A mixture of both
Answer:
Almonds cost $8 per pound and Cashews cost $10 per pound.
Assuming pounds of Almonds are denoted as a and Cashews are c, the formula will be:
8a + 10c = 60
Only Cashews:
This means that Almonds would be zero.
8(0) + 10c = 60
10c = 60
c = 60/10
c = 6 pounds of cashews
Only Almonds
8 * a + 10(0) = 60
8a = 60
a = 60/8
a = 7.5 pounds of almonds
A mixture of both.
We can use the formula above to calculate how many of each she can buy but she cannot buy more than 7.5 almonds or more than 6 cashews as she does not have enough money on her.
Assuming she wanted to buy 5 pounds of almonds, she would be able to buy:
8 * 5 + 10c = 60
40 + 10c = 60
10c = 60 - 40
c = 20/10
c = 2 pounds of cashews
If the measure of EF is 90° , what is the arc length of EF?
Answer:
[tex]\huge\boxed{15 \pi \ \text{or} \approx 47.1 \ \text{in.}}[/tex]
Step-by-step explanation:
We can note a couple of relationships in this circle.
The arc length will be a fraction of the circumference. It will be the same fraction of the circumference that the central angle is to the entire circle.
First step: Find the circumference of the circle.
The circumference of any circle can be defined by the formula [tex]2 \pi r[/tex], where r is the radius of the circle. The radius is given to us, 30 in. We can now substitute that into the formula.
[tex]2\cdot \pi \cdot 30[/tex] [tex]60 \cdot \pi[/tex] [tex]60\pi[/tex]So our circumference is 60π.
Second Step: Find the ratio of the central angle of the arc to the total circle degrees
We know that the total amount of degrees in a circle is 360°. Therefore, we can set up a proportion to find the ratio between the central angle (90°) and the total circle measurement.
[tex]\frac{90}{360}[/tex]
Third Step: Equal out the two proportions and solve for the missing arc length
Now that we have our base proportion ([tex]\frac{90}{360}[/tex]), we can turn 60π into a proportion as well, leaving 60π as the denominator so we can solve for the arc length.
[tex]\frac{x}{60 \pi} = \frac{90}{360}[/tex]
We can now solve for x by cross multiplying.
[tex]\frac{90}{360} = \frac{1}{4}[/tex] [tex]\frac{x}{60\pi} = \frac{1}{4}[/tex] [tex]x = \frac{60\pi \cdot 1}{4}[/tex] [tex]x = \frac{60\pi}{4}[/tex] [tex]x = 15\pi \approx47.1[/tex]Hope this helped!
-10x = 50 ?
A) x=10
B) x= -5
C) x=5
D) x=25
solve the following system of equations
Answer:
x = 4
y = 8
Step-by-step explanation:
From the question given above,
3.2x – 0.6y = 8 .......... (1)
–0.8x + 0.9y = 4 ......(2)
We shall determine the value of x and y by using elimination method as illustrated below:
3.2x – 0.6y = 8 .......... (1)
–0.8x + 0.9y = 4 ......(2)
Multiply equation 1 by 0.8 and equation 2 by 3.2
0.8 × (3.2x – 0.6y = 8)
2.56x – 0.48y = 6.4 ......... (3)
3.2 × (–0.8x + 0.9y = 4)
–2.56x + 2.88y = 12.8....... (4)
Next, add equation 3 and 4 together. This is illustrated below:
,,,,,, 2.56x – 0.48y = 6.4
+ –2.56x + 2.88y = 12.8
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
2.4y = 19.2
Divide both side by 2.4
y = 19.2 / 2.4
y = 8
Substitute the value of y into any of the equation to obtain the value of x. Here, we shall use equation equation 1. This is illustrated below:
3.2x – 0.6y = 8
y = 8
3.2x – 0.6(8) = 8
3.2x – 4.8 = 8
Collect like terms
3.2x = 8 + 4.8
3.2x = 12.8
Divide both side by 3.2
x = 12.8 / 3.2
x = 4
From the calculations made above,
x = 4
y = 8
Given: 3x - 2 ≤ 2x + 1.
Choose the solution set.
{x | x R, x ≤ 1}
{x | x R, x ≤ 3}
{x | x R, x ≤ -3}
{x | x R, x ≤ -1}
Answer:
[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ second\ is \ correct . }}} [/tex]
Step-by-step explanation:A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-
[tex]\bf\implies 3x -2 \leq 2x + 1 \\\\\bf\implies 3x -2x \leq 2 + 1 \\\\\bf\implies x \leq 2 + 1 \\\\\bf\implies\boxed{\red{\bf x \leq 3 }}[/tex]
This means that the value of x can be less than or equal to 3 . That is it means x ≤ 3. So , the required solution set will be ,
[tex]\boxed{\purple{\bf \{x | x \in \mathbb{R} , x \leq 3 \}}}[/tex]
Hence the second option is correct.Answer:
second option is correct:)
Step-by-step explanation:
In a class of 25 students, 80% attended a field trip. How many students went on the field trip? 20 15 05 8
Answer:
McDonald'sssssssssssssss
20 students went on a field trip and 5 did not.
Please help me with this question!!
Answer:
[tex]x=16 * cos(46)[/tex]
Step-by-step explanation:
Well, first let's look at our trig identities. We can set up a cosine function using the given angle:
[tex]cos (46^{o} ) = \frac{x}{16}[/tex] (adjacent/hypotenuse)
Then, multiplying both sides by 16 gives us:
[tex]x=16 * cos(46)[/tex]
Hope this helps!
√500 simplify the radical expression
Answer:
=10√5 or 22.36068 as a decimal
the ^ is to the power of
Step-by-step explanation:
2^2 x 5^3
=[tex]\sqrt{2^{2} 5^{3} }[/tex] (you don't need the x it just did not let me put it in otherwise)
apply the exponent rule 2^2 x 5^3= 5^2 x 5 = √2^2x5^2x5
√2^2x5^2x5= √2^2 √5^2 √5= √2^2√5^2√5
next, apply the radical rule
√2^2=2 =2√5^2 √5
√5^2=5 = 2x5√5
=10√5 which is also 22.36068 as a decimal
i’ll give brainliest help
Answer:
This will be letter j). 1,767.1 in 3
Step-by-step explanation:this is the closest estimate to the cubic inch plz brainliest
The equation y=19x+350 represents the relationship between the total cost, in dollars, y, to rent a banquet hall for a party, and the number of people attending, x. The y-intercept is 350 and represents the total cost to rent the banquet hall . The slope is 19 and represents the cost per person attending
Further explanation
Answer and explanation:
The equation y=19x+350 representing the total cost for the banquet hall based on number of people attending has both dependent and independent variables.
The independent variable is x which represents the number of people attending(each person costs $19) and therefore determines the total cost y which will be the cost of the banquet hall given number of people attending x
If we make an illustration with this equation, we could plug in a number of attendants x = 200 and then observe the total cost of the banquet hall y
If x=200
y=19x+350
y= 19×200+350
y= 3800+350
y= $4150
Therefore total cost of banquet hall if there are 200 guests at the banquet hall =$4150
The total cost of the banquet hall, if there are 200 guests at the banquet hall, is $4150.
Given that,
The equation y = 19x+350 represents the relationship between the total cost,
In dollars, y, to rent a banquet hall for a party, and the number of people attending, x.
The y-intercept is 350 and represents the total cost to rent the banquet hall. The slope is 19.
We have to determine,
The cost per person attending.
According to the question,
The equation y = 19x+350 representing the total cost for the banquet hall based on the number of people attending has both dependent and independent variables.
The independent variable is x which represents the number of people attending(each person costs $19).
Therefore,
To determine the total cost y which will be the cost of the banquet hall given the number of people attending x.
Then, the total cost of the banquet hall y is,
[tex]y=19x+350\\\\y= 19\times200+350\\\\y= 3800+350\\\\y= 4150[/tex]
Hence, the total cost of the banquet hall, if there are 200 guests at the banquet hall, is $4150.
To know more about Equation click the link given below.
https://brainly.com/question/24065247
The total area of the figure to the right is 299 cm². Use this fact to write an equation involving x. Then solve the
equation to find the value of x.
The equation is
Enter your answer in the answer box and then click Check Answer
Answer:
i. [tex]x^{2}[/tex] + 26x + 144 - 299 = 0
ii. x = 5
Step-by-step explanation:
The area of the figure = 299 cm²
The figure has a shape of a rectangle, so that;
Area of rectangle = length x width
length of the figure = 18 + x
width of the figure = 8 + x
Area of the figure = (18 + x) x (8 + x)
299 = (18 + x) x (8 + x)
299 = [tex]x^{2}[/tex] + 26x + 144
[tex]x^{2}[/tex] + 26x + 144 - 299 = 0
[tex]x^{2}[/tex] + 26x - 155 = 0
applying the trigonometric formula;
x = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a
= (-26 ± [tex]\sqrt{(26)^{2} - 4(1*-155)}[/tex]) ÷ 2
= (-26 ± [tex]\sqrt{676 +620}[/tex]) ÷ 2
= (-26 ± [tex]\sqrt{1296}[/tex]) ÷ 2
= (-26 ± 36) ÷ 2
x = (-26 + 36) ÷ 2 OR x = (-26 -36) ÷ 2
= 10 ÷ 2 OR -62 ÷ 2
= 5 OR -31
Thus, x = 5
Help please look at the pic attached I will give 50 points and mark brainliest
At least help with the first one
Answer:
3. x = 8
4. x = 80
Step-by-step explanation:
3. 37 and (6x - 11) are congruent angles:
37 = 6x - 11
48 = 6x
x = 8
4. 2(x - 9) and 142 are congruent angles:
2(x - 9) = 142
2x - 18 = 142
2x = 160
x = 80
Answer:
x = 8, x = 10Step-by-step explanation:
Q3
Corresponding angles are congruent
6x - 11 = 376x = 11 + 376x = 48x = 8Q4
Angle2 is complementary with 142 and alternate interior with 2(x + 9)
142 + 2(x + 9) = 180142 + 2x + 18 = 1802x + 160 = 1802x = 20x = 10the ratio between the number of vowels and consonants letters of word ALERT is
Given that x is a nonnegative number, a student conjectured that x+3
Which value of x is a counterexample to the student's conjecture?
X= -1/3
X= -3
X= 2
X= 3
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
Given
Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)
Required
Which value of x prove the conjecture otherwise
To do this , we simply substitute the values of x in the options
[tex]1.\ x = -\frac{1}{3}[/tex]
This is negative;
So, there is no need to check
[tex]2.\ x = -3[/tex]
This is also negative;
So, there is no need to check
[tex]3.\ x = 2[/tex]
[tex]x + 3 < x^2[/tex]
[tex]2 + 3 < 2^2[/tex]
[tex]5 < 4[/tex]
This value of x is false because 5 is not less than 4
[tex]4.\ x = 3[/tex]
[tex]x + 3 < x^2[/tex]
[tex]3 + 3 < 3^2[/tex]
[tex]6 < 9[/tex]
find angle X on the given figure. m
Answer:
I believe the angle X is 47.
what is 9 more than 2 multiplied by f?? i have a test coming up soon
Answer:
2f+9
Step-by-step explanation:
Answer:
(2+9)*f
= 11*f
Step-by-step explanation:
Final answer: 11f~
Ms. Peters has 36 red, blue, and green markers. She has an equal number of each color of marker. She arranges the red markers in 2 equal groups. How many red markers are in each group?
Answer: 18
Step-by-step explanation: hope this helps!
Answer:
6
Step-by-step explanation:
There are three colors. Divide three into 36 to get 12. Meaning that there are 12 green, 12 blue, and 12 red. She split the red markers into 2 equal group. Take 12 and divide that by 2, giving you 6.
Help guys! What is segment AC?
Answer:
D. Angle bisector
Step-by-step explanation:
In the diagram shown, segment AC divides the major angle into two equal parts. The two angles divided are congruent to each other.
An angle bisector divides an angle by bisecting the angle.
Therefore, segment AC is referred to as an angle bisector.
A.) 5
B.) 6
C.) 7
D.) 8
Answer:
C. 7
Step-by-step explanation:
First you have to find the unit rate of this equation
The unit rate is 20 students for every 1 teacher because 40 divided by 2 is 20
so if you do 140 divided by 20 your answer is 7
there are 7 teachers
WHOEVER ANSWERS FIRST GETS BRAINLIEST
Answer: i think c
Step-by-step explanation:
i thought this was free points lol
Answer:
C
Step-by-step explanation:
Cause percent by is by the hundredths and that you multiply by the variable
How do you figure these out?? I need major help!!
Answer:
The value of x = 5
Step-by-step explanation:
It is clear that a traversal line is passing through two parallel lines.
It is also clear that:
The angle (35+2x)° and 60° are on the outside of the parallel lines and on the opposite side of the traversal. Therefore, (35+2x)° and 60° are Alternate Exterior Angles.
Please remember that Alternate Exterior Angles are congruent, so
35 + 5x = 60°
subtract 35 from both sides
35 + 5x - 35 = 60° - 35
5x = 25
divide both sides by 5
5x/5 = 25/5
x = 5
Therefore, the value of x = 5
pleasee help ill give brainliest
Answer:19 1/2
Step-by-step explanation:
Let f(x)=−|x−3|+3 and g(x)=1/2x−3. Graph the functions in the same coordinate plane.
What are the solutions to f(x)=g(x)?
Enter your answers in the boxes from smallest to largest.
x =
and x =
Answer:
x is 6 where the two meet on the graph, but i'm not sure what its asking so please let me know
Step-by-step explanation:
Answer:
the answers are -6 and 6 i know this may not help you considing im super late but it can help people who visit this question :3
Step-by-step explanation:
a cone has a volume of 1,570in3. If the height of the cone is 15 inches. Calculate the radius of the cone?
Answer:
approximately 10
Step-by-step explanation:
Volume = 1/3h times [tex]\pi[/tex] times radius square
1570 = 1/3 x 15 x 22/7 x [tex]r^{2}[/tex]
1570 = 5 times [tex]\frac{22}{7}[/tex] times [tex]r^{2}[/tex]
1570 = 15.71[tex]r^{2}[/tex]
[tex]\frac{1570}{15.71}[/tex] = [tex]\frac{15.71 r^{2}}{15.71}[/tex]
99.9 = r^2
[tex]\sqrt{99.9}[/tex] = r
≅10
What is the simplified form of this expression?
(8x - 7) + (-2x - 9) - (4x - 3)
OA.
2x-13
OB.
2x - 19
OC.
2x-5
OD.
2x + 1
Answer:
The answer is A
Step-by-step explanation:
here you go mate'
Step 1
(8x - 7) + (-2x - 9) - (4x - 3) equation
step 2
(8x - 7) + (-2x - 9) - (4x - 3) expand by distributing
8x+-7+-2x+-9+-4x+3
step 3
8x+-7+-2x+-9+-4x+3 combine terms
answer
2x-13
can i get brainliest if you dont mind?
