Answer:
x = 33/8
Step-by-step explanation:
2/3 x + 1/4 = 3
Subtract 1/4 from both sides.
2/3 x = 3 - 1/4
2/3 x = 12/4 - 1/4
2/3 x = 11/4
Multiply both sides by 3/2.
3/2 * 2/3 x = 3/2 * 11/4
x = 33/8
500g to 0.4kg as a ratio
Answer:
500 : 0.4
Step-by-step explanation:
uhm please help me :)..........,.
3/4. Please help if possible :)
Even if it is just one of them.
9514 1404 393
Answer:
3. no (to both)
4. yes (to both)
Step-by-step explanation:
3. see https://brainly.com/question/21676356 for an explanation
__
4. ΔADB ≅ ΔADC by the HL theorem, so all corresponding parts of the triangles are congruent.
Segment AD bisects both angle BAC and segment BC. So, point D lies on the perpendicular bisector of BC.
Yes, there is enough information to answer the questions.
3. A company makes a profit of $15 per software program and $10 per video game. The company can produce
at most 70 software programs and at most 80 video games per week. Total production cannot exceed 100
items per week. How many items of each kind should be produced per week in order to maximize the profit?
Use linear programming to solve. Show all your work.
Answer:
For the profit to be maximized, 20 software programs and 80 video games should be produced
Step-by-step explanation:
Let x represent the number of the software programs and let y represent the number of video games.
We are told that the company can produce at most 70 software programs and then, at most 80 video games per week. Thus;
x ≤ 70
y ≤ 80
Also, we are told that the overall production cannot exceed 100. Thus;
x + y ≤ 100
Since the company makes a profit of $15 per software program and $10 per video game. Then, the function to be maximized is;
15x + 10y
When they produce at most 70 software programs, it means that the number of video games that can be produced is: 100 - 70 = 30.
Thus, one point of maximizing values is; (70, 30)
Also, when they produce at most 80 video games per week, the number of software programs that can be produced is; 100 - 80 = 20.
Thus, second point of maximization is;
(20, 80)
Putting these points into the objective function, we have;
At (70, 30); 15(70) + 10(30) = $1350
At (20, 80); 15(20) + 10(80) = $1100
For the profit to be maximized, 20 software programs and 80 video games should be produced
Look at the graph below. Will ordered pair (50,200) fall on the line below? Explain your answer.
Middle school math.
Answer:
Yes!
Step-by-step explanation:
the slope of the graph travels 1x for every 4y, so multiply both numbers by 50, which gives you (50, 200)
In triangle ABC, A is a right angle and M B=45°. Find BC. If you answer is not an integer, leave it in simplest radical form.
Step-by-step explanation:
- In a right triangle, if ∠B is 45°, then ∠C is too.
-- Since ∠B and ∠C are equal, the sides opposite them
are equal too. This is an isosceles right triangle. Its legs
are equal.
-- (The hypotenuse)² = (one leg)² + (the other leg)²
= (12-ft)² + (12-ft)²
= (144 x 2)
The hypotenuse = √(144 x 2) = 12√2 .
LOL
What is the value of x in the figure shown below?
E
c
4.8
4.8
A
53°
86°
3.1
3.1
B
20
D
The value of x from the triangle ΔEAD is x = 41°
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔEAD
Now , the measure of side AC = 4.8
The measure of side BA = 3.1
And , the measure of side EA = 4.8
The measure of side DA = 3.1
And , Corresponding sides of similar triangles are in the same ratio
So , the triangles ΔABC and ΔEAD are similar
Therefore , the angles will also be congruent
The measure of ∠ACB = The measure of ∠DEA = x°
The measure of ∠DEA = 180° - ( 53° + 86° ) ( angles of a triangle = 180° )
On simplifying the equation , we get
The measure of ∠DEA = 41°
Hence , the measure of x = 41° and they are similar triangles
To learn more about similar triangles click :
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Determine the INTEREST ONLY for $4,331.00 earning 5.5% for 4 years, compounded semi-annually.
Guided Practice
Determine whether the relation is a function. Explain why or why not.
{(3, 7), (3, 8), (3, –2), (3, 4), (3, 1)}
A.
No; the domain value 3 corresponds to multiple range values.
B.
Yes; there is no value in the domain that corresponds to more than one value of the range.
C.
No; a function must have multiple domain values.
Answer:
A. it is not a function because there are multiple y-values paired with a single x-value.
Step-by-step explanation:
im so mad rn bc i dont get this please HELP
Answer:
X is 26
Step-by-step explanation:
Hahahah don't be mad
One straight line is 180°
So
2x-10+5x+8 = 180
7x = 180-8+10
X = 26
(ONLY TWO CAPITAL LETTERS) Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!! URGENT
Answer:
NI and HN
Step-by-step explanation:
The segments are both marked with a congruency mark.
Use the figure to determine the relationship between the measures of the SM
and MR.
Answer:
The measure of SM is less than the measure of MR.
Step-by-step explanation:
The side opposite the larger angle is larger than the side opposite the shorter angle.
Please help! Will mark brainliest!
Answer:
12) 20
13) 12.5
14)124
6. Use the distributive property to find two expressions
that are equivalent to 7(3x - 4).
Answer:
21x-28
Step-by-step explanation:
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Calculate the gradient of the line using rise/run method.
Given:
The graph of line.
To find:
The gradient of the line using rise/run method.
Solution:
We know that the gradient of a line is also known as slope.
[tex]Slope=\dfrac{Rise}{Run}[/tex]
Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.
[tex]Rise=-3[/tex]
[tex]Run=2[/tex]
Now,
[tex]Slope=\dfrac{Rise}{Run}[/tex]
[tex]Slope=\dfrac{-3}{2}[/tex]
The gradient of the line is [tex]-\dfrac{3}{2}[/tex].
Therefore, the correct option is C.
Work out the following, giving your answers in their simplest form:
a) 2/3 divided by 1/4
b) 7 divided by 2/3
please help!!
i’m really stuck and confused!
Answer: a.2^3, b. 3^5, c. 4^3 + 5^2, d. 9^4 + 7^2
Step-by-step explanation:
i took this class already
Answer:
a) = 8
b)=243
c)=1 600
d)=321 489
Explanation
a) 2×2= 4×2= 8
b)3×3=9×3=27×3=81×3=243
c)4×4=16×4=64×5=320×5=1 600
d)9×7=63×9=567×9=5 103×7=35 721×9=321 489
A worker is paid Rs 1110 for 6 days. If he told wage during a month is Rs 4625, for how many days did he work?
Worker work for =25 days and he paid Rs.4625.
Step-by-step explanation:
From the question,
Worker is paid Rs.1110 for =6 days
Worker is paid Rs.1 for =(6/110) days
Worker is paid Rs.4625 for =(6/1110)×(4625) days
=25 days
find the median of the numbers
Answer:
8
Step-by-step explanation:
There are 3 numbers on each side of 8, which makes 8 the median because it is in the middle.
A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies. You pick one candy at random. Find the
probability that it is purple or not red.
Answer:
97/139
Step-by-step explanation:
You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.
Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].
What is probability?The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.
According to the question
A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.
You pick one candy at random.
We have to find probability that it is purple or not red.
Formula for probability:
[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]
Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]
Number of favorable outcomes = 32
Probability that it is purple or not red.
[tex]P(E)=\frac{32}{151}[/tex]
Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].
Find out more information about probability here
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Order these numbers from least to greatest
-0.5,1.5, 0, -5, 1.25
Ty
Answer:
-5, -0.5, 0, 1.25, 1.5
Answer:
-5, 0, -0.5, 1.25, 1.5
hope it helps
100 points.
Find the surface area of the triangular prism. The unit is cm^2
Answer:
1380
Step-by-step explanation:
Let the random variable H represent the height of a woman in the population. P(H<60) represents the probability, of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model for the normal model.
Answer:
Hello your question in incomplete attached below is the complete question
answer : 0.03
Step-by-step explanation:
H represents the height of women
Determine P ( H < 60 ) using either discrete or normal model
using discrete model
P ( H < 60 ) = ∑ relative frequencies of women with height < 60 inches
= 0.01 + 0.02 = 0.03
Which of the following is a geometric sequence?
A:0, 2, 6, 12, 72, . . .
B:1/2,2/3,3/4,4/5,5/6
C:4, 9, 14, 19, 24, . . .
D:1, 3, 9, 27, 81, . . .
Answer:
D
Step-by-step explanation:
to find the next term multiply by 3
solve for x!!!!!!!!!
Answer:
39+32+x=90
71+x=90
x=90-71
x=31
four circles with no one common tangent drawing
Answer:
im sorry i dont know it
Step-by-step explanation:
hope u have a good day
Why does stock have more potential for higher returns than bonds?
Answer:
Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost.
Step-by-step explanation:
Hope this will help
Answer:
Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investments will be lost. However, a stock's price will also rise in spite of this risk when the company performs well, and can even work in the investor's favor.
Step-by-step explanation:
Suppose the line of best fit is drawn for some data points. If the mean of the x-coordinates of the points is -8, and the mean of the y-coordinates of the points is 10, the line must pass through which of these points?
Answer: 10
Step-by-step explanation:
Answer:
(-8, 10)
Step-by-step explanation:
A P E X
Which equation represents a proportional relationship? A. y=x/8. B. y=8/x. C. y=x/8+8. D. y=8/x+8.
Answer:
c and d have a proportial relationship.
Step-by-step explanation:
hope this helps