Answer:
[tex]\Longrightarrow:\boxed{\sf{x=3}}[/tex]
Step-by-step explanation:
Isolate the term of x, from one side of the equation.
2(x+10)=x+23Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
2(x+10)
2*x=2x
2*10=20
2x+20=x+23
First, subtract by 20 from both sides.
2x+20-20=x+23-20
Solve.
Subtract the numbers from left to right.
23-20=3
2x=x+3
Then, you subtract by x from both sides.
2x-x=x+3-x
Solve.
[tex]\Longrightarrow: \boxed{\sf{x=3}}[/tex]
Therefore, the correct answer is x=3.Answer:
x = 3Option A is the correct answer .Step-by-step explanation:
In this question we're given with an equation that is 2(x + 10) = x + 23 and we are asked to find the value of x .
Solution : -
[tex] \longmapsto \: 2(x + 10) = x + 23[/tex]
Step 1 : Solving the parenthesis on left hand side :
[tex]\longmapsto \:2x + 20 = x + 23[/tex]
Step 2 : Subtracting 20 on both sides :
[tex]\longmapsto \:2x + \bold{ \cancel{20}} - \bold{ \cancel{20} }= x + \bold{23 - 20}[/tex]
On further calculations , we get :
[tex]\longmapsto \:2x =x + 3[/tex]
Step 3 : Subtracting x on both sides :
[tex]\longmapsto \:2x - x = \bold{ \cancel{x} }+ 3 - \bold{ \cancel{x}}[/tex]
On further calculations, we get :
[tex]\longmapsto \: \red {\boxed{{x = 3}}}[/tex]
Therefore, value of x is 3 .Now , we're verifying our answer by substituting the value of x in given equation :
2(x + 10) = x + 232 ( 3 + 10 ) = 3 + 232 ( 13 ) = 2626 = 26L.H.S = R.H.SHence, Verified .Therefore, our answer is correct.
#Keep LearningTeresa makes $26.4 from selling $52.8 ounces of lemonade. Find the unit price in dollars per ounce. If necessary, round your answer to the nearest cent.
Hi There! Hope you are having a great day! As you know, you need to find the unit rate of the problem. In order to do that you must divide how much ounces there is, (52.8) and divide that integer by how much money she made (26.4) leaving you with a unit rate of 2. Hope this helps! :)
A lab is monitoring the population of mice in a sample. Scientists noticed the number of mice triples every week. If there were initially 4 mice in the sample, how many mice will there be after 6 weeks?
A. 324 Mice
B. 972 Mice
C. 2916 Mice
D. 8748 Mice
C. 2916 Mice
Step-by-step explanation:
4 x 3^6 = 2916
Because as the mice increases, you triple that amount, instead of tripling 4 & multiplying by 6.
So, you're doing this instead:
4 x 3 = 12 (1 wk)
12 x 3 = 36 (2 wk)
36 x 3 =108 (3 wk)
108 x 3 = 324 (4 wk)
324 x 3 = 972 (5 wk)
972 x 3 = 2916 (6 wk)
Hope this helps!
from the number of card numbered from 1 to 15 orchid is drawn from random find the probability of getting a card having a prime number
Answer:
The total number of outcomes is 15.
favourable outcomes =6 (2,3,5,7,11,13)
prime number probability = 6/15
Does 2/3x+2/3+1/5=2/3x have a solution?
Answer:
no
Step-by-step explanation:
What is the volume of the right triangular prism in cubic meters
Answer: 24 cubic meters
Step-by-step explanation:
The formula for the volume of a triangular prism is [tex]\frac{1}{2}[/tex]bhl
Where
b is the base (3 for this)
h is the height (2 for this)
and l is the length (8 for this)
Sub the values into the formula and solve
[tex]\frac{1}{2}bhl\\\frac{1}{2}(3)(2)(8)\\\frac{1}{2}(3)(16)\\\frac{1}{2}(48)\\24[/tex]
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
See below ~
Step-by-step explanation:
We know the sum of the interior angles is 720° for a hexagon.
Finding x
2(90)° + 2(5x + 10)° + 136° + 134° = 720°180° + 10x° + 20° + 270° = 720°10x° + 470° = 720°10x° = 250°x = 25Finding m∠ABC
∠ABC = 5x + 10∠ABC = 5(25) + 10∠ABC = 125 + 10∠ABC = 135°I NEED AN ANSWER I'VE ASKED THIS TWO TIMES ALREADY PLEASE.
What is the area of this trapezoid?
Enter your answer in the box.
ft²
Trapezoid with parallel sides labeled 11 feet and 35 feet. Dashed perpendicular segment between them is labeled 14 feet.
Answer:
The area of a trapezoid = 1/2 (altitude)(base 1 + base 2)
Step-by-step explanation:
Answer:
322ft2
Step-by-step explanation:
I promise this is correct
What is the Median of the numbers 20, 18, 14, 7, 15, 5
Answer:
The answer should be 14.5
Step-by-step explanation:
Hope This Helps
Have A great day
~Zero~
Problem: Y = 3x² - 3x + 2
Discriminant: b²-4ac = 9 - 4 (3)(2) = -15
Explain why this has no solution/ 0 real solutions. Explain the discriminant.
Answer:
Given:-
Y = 3x² - 3x + 2
Find : - Discriminant
Y = ax² - bx + c
Discriminant is : - Y = b² - 4ac
So, Discriminant is :-
(-3²) - 4 (3) (2)
= 9-24
=-15
If b² - 4ac < 0.
The equation has no real solution but it does have complex solution.
Which ordered pair maximizes the objective function p = 3x 8y? (0, 0) (2, 7) (5, 6) (8, 1)
The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.
What is the objective function?The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.
On putting the values we will get the values one by one. We get;
1. (0, 0)
[tex]3 (0)+8(0) = 0[/tex]
2. (2,7)
[tex]3(2)+8(7)=62[/tex]
3. (5,6)
[tex]3(5)+8(6)=63[/tex]
4. (8,1)
[tex]3(8)+8(1)=42[/tex]
The maximum value obtained from the 63. Obtained from option C. The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6)
Hence option C is correct.
To learn more about the objective function refer to the link;
https://brainly.com/question/15830007
What is 77x145 ?What do I do??
Answer:
11165
Step-by-step explanation:
77*145= 11165
Hope this helps. :D
I NEED HELP FAST PLEASE HELP ME
i know its not D
Answer:
Option A
Step-by-step explanation:
Check out the attached photo
Answer:
I think it's A I hope this helps!!
Step-by-step explanation:
Roberta's monthly bank statement says that she has a balance of 386.29, but roberta's check register says that her balance is 370.77. which of the following are still outstanding? i. a $78.17 check to the electric company ii. a $16.15 deposit from roberta's roommate iii. a $22.67 check to the grocery store iv. a $62.65 deposit from roberta's tax return a. i and ii b. ii and iii c. ii and iv d. i and iv please select the best answer from the choices provided a b c d
Answer:
D
Step-by-step explanation:
I and IV
A movie premiere had a full house of 350 film buffs. The price of the tickets was $6 for adults and $4 for underage. The income from ticket sales was $1,600. What is the number of adult's, x, who attended?
A 80
B 140
C 100
D 250
Answer:
C
Step-by-step explanation:
let x be number of adults and y the number of underage , then
x + y = 350 → (1)
6x + 4y = 1600 → (2)
multiplying (1) by - 4 and adding to (2) will eliminate y
- 4x - 4y = - 1400 → (3)
add (2) and (3) term by term to eliminate y
(6x - 4x) + (4y - 4y) = 1600 - 1400
2x + 0 = 200
2x = 200 ( divide both sides by 2 )
x = 100
the number of adults who attended is 100
i need help with this
remember
SOH CAH TOA
sin(θ) is the ratio of the opposite side to the hypotenuse
sin(θ) = opposite/ hypotenuse
sin 50 = 0.766
sin 50 = x / 16
0.766 = x/ 16
0.766 × 16 = x
x = 12.256
if you were a quadrilateral what quadrilateral are you?why?
Answer:
I would be a diamond because diamonds are one of my favorite shapes.
Step-by-step explanation:
Diamonds are a girl's best friend
Hope it Helps
Please help and explain with a bit of work
Asphere has a radius of 15 inches. What is the volume of the sphere, in cubic inches? (Use
3.14 as an approximation of pi.)
cubic inches
Answer:
14130 cubic inches
Step-by-step explanation:
A = 4/3 n x rxrxr
A = 3.14 x 15x15x15
A = 3.14 x 3375
A = 10597.5
A = 4/3 10597.5
A = 14130
A figure is broken into a rectangle and a triangle. The triangle has a base of 2 and two-thirds feet and height of 3 feet. The rectangle has a base of 5 feet and height of 1 and one-third feet.
The irregular figure can be broken into a triangle and a rectangle as shown with the dashed line.
The length of b, the base of the triangle, is
ft.
The area of the triangle is
The area of the rectangle is
The area of the irregular figure is
Answer:
See belowStep-by-step explanation:
The length of b, the base of the triangle, is
5 - 2 1/3 = 3 - 1/3 = 2 2/3 ftThe area of the triangle is
A = 1/2*3*(2 2/3) = (3/2)(8/3) = 8/2 = 4 ft²The area of the rectangle is
1 1/3 * 5 = 4/3 * 5 = 20/3 = 6 2/3 ft²The area of the irregular figure is
4 + 6 2/3 = 10 2/3 ft²Answer:
[tex]b=2\frac23\:\sf ft[/tex]
Area of triangle = 4 ft²
Area of rectangle = [tex]6\frac23\: \sf ft^2[/tex]
Area of irregular figure = [tex]10\frac23\: \sf ft^2[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\sf Base\:of\:triangle\:(b) & = 5-2\frac13\\\\& = \dfrac{15}{3}-\dfrac73\\\\ & = \dfrac83\\\\ & = 2\frac23\:\sf ft \end{aligned}[/tex]
[tex]\begin{aligned}\sf Area\:of\:a\:triangle & =\dfrac12 \sf \times base \times height\\\\& = \dfrac12 \times b \times 3\\\\ & = \dfrac12 \times \dfrac83 \times \dfrac31\\\\ & = \dfrac{24}{6}\\\\ & = 4\: \sf ft^2\end{aligned}[/tex]
[tex]\begin{aligned}\sf Area\:of\:rectangle& =\sf length \times width\\\\& = 5 \times 1\frac13\\\\ & = \dfrac51\times \dfrac43\\\\& = \dfrac{20}{3}\\\\ & = 6\frac23\: \sf ft^2\end{aligned}[/tex]
[tex]\begin{aligned} \sf Area\:of\:irregular\:figure & = \sf area\:of\:triangle+area\:of\:rectangle\\\\ & = 4 + 6\frac23\\\\ & = 10\frac23\: \sf ft^2\end{aligned}[/tex]
Triangle ABC has angles A; B; C is proportional to 1; 2; 3 then the measure of the angles of the triangle is
Step-by-step explanation:
Let the angle of triangle be x , so each angle will be 1x , 2x , 3x respectively.
We know that sum of all angles in triangle is 180°
So ,
1x + 2x + 3x = 180°
6x = 180°
x = 30°
Therefore , each angle would be 30° , 60° , 90° respectively.
Find the
volume of a
rectangular prism
with dimensions of
12 ft. high, 14 ft.
wide, and 9 ft. long.
*Don't forget units.
Answer:
1,512 ft cubed
Step-by-step explanation:
Volume Formula is Length times Width times Height.
Do 9ft x 14ft x 12ft = n ft cubed
**n is a variable used**
1,512 ft cubed is the correct answer.
Common causes of variation are also known as __________________________. Select one: a. usual b. ordinary c. frequent d. normal e. random
Answer:
It is also known as E: random cause
I WILL GIVE BRAINLIEST, I BEG
Step-by-step explanation:
4) 42
5) -9
6) 27
7) x=3,y=27
8) x=6,y=13
9) x=2,y=(-3)
I hope I have helped you
pls mention any doubts in comment
PLEASE HELP ASAP
Which is NOT true of the construction of an angle bisector?
A)You start with any angle
B) When you're finished, you have a line that bisects your segment
C) You must draw an arc using the vertex as the center
D) When you're finished, you have a ray that bisects your angle
Answer:
B) When you're finished, you have a line that bisects your segment
Step-by-step explanation:
An angle bisector is a ray that divides a given angle into two congruent parts. There is no line segment involved.
__
The statement that is not true about this construction is ...
B) When you're finished, you have a line that bisects your segment
_____
Additional comment
The construction effectively creates an arc of a circle, then creates the perpendicular bisector of the chord of that arc. The center of the circular arc is the vertex of the angle being bisected. The constructed perpendicular bisector of the chord also bisects the angle. (The chord is never actually drawn, and the "circular arc" may be two short arcs across the rays of the angle being bisected.)
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.
How to represent the inequality?
Here we have the inequality:
–3(2x – 5) < 5(2 – x)
First, we need to isolate x in one side of the inequality, we will get:
-6x + 15 < 10 - 5x
15 - 10 < -5x + 6x
5 < x
Then the solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.
If you want to learn more about inequalities, you can read:
https://brainly.com/question/18881247
Which dot plot has the least number of sites
represented?
Shield Darter
Zebra Mussel
Number of Sites
Number of Sites
:
1 2 3 4 5 6 7 8 9 10
2
3
4
5
6
7 8 9 10
Number of Shield Darter
Number of Zebra Mussel
Blueback Herring
Calico Crayfish
Number of Sites
Number of Sites
2.
3
4 5 6 7 8 9 10
2 3 4 5 6 7 8 9 10
Number of Calico Crayfish
Number of Blueback Herring
The dot plot with the least number of sites has the least frequency
The dot plot has the least number of sites is the Shield Darter
How to determine the dot plot?To determine the dot plot with the least number of sites, we simply calculate the total frequency of each dot plot
So, we have:
Shield Darter = 3 + 1 + 4 + 2 + 3 + 1 + 1
Shield Darter = 15
Calico Crayfish = 1 + 1 + 3 + 4 + 1 + 2 + 4 + 2
Calico Crayfish = 18
Zebra Mussel = 1 + 3 + 2 + 5 + 1 + 1 + 2 + 3 + 2
Zebra Mussel = 20
Blue back Herring = 3 + 3 + 2 + 1 + 3 + 1 + 4
Blue back Herring = 17
From the computation above, the least frequency is
Shield Darter = 15
Hence, the dot plot has the least number of sites is the Shield Darter
Read more about dot plots at:
https://brainly.com/question/21862696
Find the circumference of circle, in terms of pi, if the diameter is 23.7 feet. a
Answer:
I believe the answer is 74.557 I apologize if I am incorrect
Step-by-step explanation:
The manager of a juice bar polled 56 random customers to get feedback on a new smoothie. the results are shown in the frequency table. a 4-column table with 3 rows. the first column has no label with entries adult, child, total. the second column is labeled like with entries 23, 18, 41. the third column is labeled dislike with entries 6, 9, 15. the fourth column is labeled total with entries 29, 27, 56. complete the statements using the table. the number of children who disliked the smoothie is . the total number of children is . the conditional relative frequency that a customer disliked the new smoothie, given that the person is a child is approximately .
The number of children who disliked the smoothie is 9, total children is 27, and conditional relative frequency is 33%
What is a conditional relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
From the data given in the table:
The number of children who disliked the smoothie = 9
The total number of children = 27
To find the conditional relative frequency that a customer disliked the new smoothie(if the person is a child)
It is the ratio of total number of children who disliked the smoothie to total number of children, mathematically:
= 9/27
= 0.3333
= 0.3333×100
= 33.33 ≈ 33%
Thus, the number of children who disliked the smoothie is 9, total children is 27, and conditional relative frequency is 33%
Learn more about the conditional relative frequency here:
https://brainly.com/question/8358304
Answer:
9, 27, 33
Step-by-step explanation:
WILL GIVE BRAINLEIST!!!
What is the best way to describe the center of the data represented in this line plot?
Select from the drop-down menus to correctly complete the statement.
The Choose...is Mean or median Choose.... 2 inches 2.5 inches 3 inches or 3.2 inches
Considering that the data has no outliers, the mean of 3.2 inches should be used to describe the center of the data represented in this line plot.
What measure should be used to describe the center of a data-set?It depends if the data-set has outliers or not.
If it does not have outliers, the mean should be used.If it has, the median should be used.The dot plot gives the number of times each measure appears. Since there is no outliers, that is, all values are close, the mean should be used. It is given by:
M = (2 x 1 + 3 x 2 + 2 x 3 + 1 x 5 + 1 x 6 + 1 x 7)/(2 + 3 + 2 + 1 + 1 + 1) = 3.2 inches.
The mean of 3.2 inches should be used to describe the center of the data represented in this line plot.
More can be learned about the mean of a data-set at https://brainly.com/question/24628525
Answer: median 2.5
Step-by-step explanation:
What value of c makes x2 6x c a perfect square trinomial?
Answer:
If x2 + 6x + c = (x + d)2, then d =What value of c makes x2 + 6x + c a perfect square trinomial? c =
Divide the x-term coefficient by 2: 6/2 = 3
Now square 3: 3^2 = 9
c = 9
If x^2 + 6x + c = (x + d)^2, then d =
x^2 + 6x + 9 = (x + 3)^2 = (x + d)^2, so d = 3
Step-by-step explanation:
Answer:
c = +9.
Step-by-step explanation:
x^2 + 6x + c.
Divide 6 by 3 then square it
- so c = 3^2 = 9.
x^2 + 6x + 9 = (x + 3)^2.