Answer:
20 km less than the first car
Step-by-step explanation:
TeeVee Electronics, Inc., makes console and wide-
screen televisions. The equipment in the factory allows +
for making at most 450 console televisions and 200
wide-screen televisions in one month. It costs $600 per
unit to make a console television and $900 per unit to
make a wide screen television. The profit on each
console television is $125 per unit, while the profit for
each wide screen television is $200 per unit. During the -
month of November, the company can spend $360,000 to make these televisions. To
maximize profits, how many of each type should they make?
LET
Answer:
First we need to put all the given information in a table, that way we'll express it better into inequalities.
Cost Production Max.
Console screen (x) $600 450
Wide-screen (y) $900 200
$360,000
We have:
[tex]600x+900y \leq 360,000[/tex]
Because they can't spend more than $360,000 in production.
[tex]x\leq 450\\y\leq 200[/tex]
Because the number of television is restricted.
The profit function is
[tex]P(x,y)=125x+200y[/tex] (this is the function we need to maximize).
First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).
Now, we test each point in the profit function to see which one gives the highest profit.
For (300,200):
[tex]P(300,200)=125(300)+200(200)=37,500+40,000=77,500[/tex]
300 console screen and 200 wide screen give a profit of $77,500.
For (450,100):
[tex]P(450,100)=125(450)+200(100)=56,250+20,000=76,250[/tex]
450 console screen and 100 wide screen give a profit of $76,250.
Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,The diagram below is divided into equal parts. Which shows the ratio of unshaded sections to shaded sections
Answer:
5 to 1.
Step-by-step explanation:
There are 5 unshaded and one shaded section so it's
5:1.
The ratio of unshaded sections to shaded sections is;
Option D; 5 to 1
We are told that the diagram is divided into equal parts.
Now, from the given, we can see that there are 6 equal parts. However, out of the 6 equal sections, only one section is shaded while 5 sections are unshaded.
This means that the ratio of unshaded sections to shaded sections is; 5 to 1.
In conclusion, the ratio of unshaded sections to shaded sections from the given diagram that was divided into equal parts is; 5 to 1.
Read more at; https://brainly.com/question/20094176
A student is ordering a flower arrangement. She can choose any combination of tulip and carnations for her flower arrangement , and she does not want to spend more than $45. If tulip cost $5 each and carnations cost $3 each, which inequality represents all possible combinations of x tulips and y carnations ? A. 5x + 3y < 45 B. 5x + 3y <= 45 C. 3x + 5y > 45 3x + 5y <= 45
Helppp!
Answer:
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Step-by-step explanation:
We are supposed to find inequality represents all possible combinations of x tulips and y carnations
Cost of 1 tulip = $5
Cost of x tulips = 5x
Cost of 1 carnation =$3
Cost of y carnations = 3y
We are given that she does not want to spend more than $45.
So, She can spend less than or equal to 45
So, required inequality :[tex]5x+3x \leq 45[/tex]
So, Option B is true
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Answer:
it would be 5x + 3y <= 45
Step-by-step explanation:
I literally just did this question on my math homework and I got it right .
please help me please please please please
Answer: [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3}-(-5)=[/tex]
Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.
[tex]-\frac{2*3+1}{3} -(-5)=[/tex]
Solve;
[tex]-\frac{6+1}{3} -(-5)=[/tex]
[tex]-\frac{7}{3} -(-5)=[/tex]
Now, get rid of the two negatives by multiplying.
[tex]-\frac{7}{3} +5=[/tex]
Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.
[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]
To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.
[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]
Solve;
[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]
Subtract numerators and keep the same denominator.
[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]
Convert to a mixed number. To do this, first, divide:
8/3=2
6
----
2
The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]
What is the vertex of the quadratic function with a positive a value?
Answer:
If the coefficient of the squared term is positive, the parabola opens up. The vertex of this parabola is called the minimum point. If the coefficient of the squared term is negative, the parabola opens down. The vertex of this parabola is called the maximum point.
The graph opens upward, if the vertex of the quadratic function with a positive a value.
Given that, the quadratic function with a positive a value.
What is the vertex of the quadratic function?The vertex of the graph of a quadratic function is the highest or lowest possible output for that function. If you're looking at a graph, the vertex would be the highest or lowest point on the parabola. The easiest way to find the vertex is to use the vertex formula.
If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h, k). Any quadratic function can be rewritten in standard form by completing the square.
Therefore, the graph opens upward, if the vertex of the quadratic function with a positive a value.
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help please!!!!!!!!!!
Answer:
[tex]15 × 10^{0}[/tex]
Step-by-step explanation:
5 × 10^-7 × 3 × 10^6
15 × 10^-1
= 1.5 × 10^0
Answer:
15 × 10^{-1} is the correct
Step-by-step explanation:
Which of the following number lines represents the solution to m/-2 - 7 = -9?
Answer:
Step-by-step explanation:
Answer: m=1
Step-by-step explanation:
What is the mean absolute deviation of her math scores?
5.4
6.4
7.8.
o
8.8
Answer:
The mean absolute deviation (MAD) of her Math scores would be 1.2.
Step-by-step explanation:
Mean: 5.4 + 6.4 + 7.8 + 8.8 = 28.4/4 = 7.1
7.1 - 5.4 = 1.7
7.1 - 6.4 = 0.7
7.1 - 7.8 = 0.7
7.1 - 8.8 = 1.7
Mean Absolute Deviation: 1.7 + 0.7 + 0.7 + 1.7 = 4.8/4 = 1.2
hope this helps :)
Answer: I'm guessing but the answer should beD. 8.8.Tell me if I'm wrong. But at least I tried.
Step-by-step explanation:
Jack divided his fortune of $92,000 into 8 equal parts. He gave 4 parts to his wife, 1 part to his son and divided the remaining 3 parts equally among 5 charities.
How much more money did his son get than each charity?
Answer:
4,600
Step-by-step explanation:
92,000/8= 11500
11500 x 4= 46000 to his wife
11500 for the son
92000-57500= 34500
34500/5= 6,900 each charity
11500-6900= 4600 is how more he is getting than each charity
Answer:
4600 more money
Step-by-step explanation:
92000 ÷ 8 = 11500
1 part to his son
3(11500)= 34500
34500 ÷ 5 = 6900
11500-6900= 4600
Need Help ASAP it's due today. Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? SHOW YOUR WORK. ( The teacher said to Plot a third point, connect the third point to make a right triangle, find the lengths of the legs of the triangle and then use the pythagorean theorem to find the distance between the gas station and Angelica's house). Only answer if you truly know how to solve this please. Will Mark Brainliest
Answer:
About 7.8 miles.
Step-by-step explanation:
We can use the distance formula to find the distance from the gas station to the house.
However, your teacher said to use the Pythagorean Theorem to find the distance.
Going by your teacher's preferred method:(4,3), (10,8), and (10,3) would make a right triangle.
[See Picture]
Angelica's house is at point (4,3). It is 6 units from our new third point.
The gas station is at point (10,8). It is 5 units form out new third point.
The legs are 5 and 6 units. The distance from the house to the gas station would be our hypotenuse.
Use the Pythagorean Theorem to find the length of the hypotenuse.
[tex]a^2 + b^2 = c^2\\\\\text {Replace a and b with the appropriate values: }\\6^2 + 5^2 = c^2\\\text {Solve: }\\6^2 + 5^2 = c^2\\6^2 = 36\\5^2 = 25\\\rightarrow 36 + 25 =c^2\\36 + 25 = 61\\\rightarrow 61=c^2\\\sqrt{61}=\sqrt{c} \\\boxed {7.81024967591=c}[/tex]
7.81024967591 ≈ 7.8
The hypotenuse is about 7.8.
Therefore, the distance between the gas station and Angelica's house should be about 7.8 miles.
Brainilest Appreciated!
Answer:
AG = 7,8
Step-by-step explanation:
Plot the third point at (10,3) and let's call it point B.
Now construct the right sided triangle A B G
With A = (4,3) , B = (10,3) and G = (10,8).
AB is horizontal so subtract the x coordinates of point A and point B. So AB has length 10 - 4 = 6
BG is vertical so subtract the y coordinates of point B and point G. So BG has length 8 - 3 = 5
Now use pythagorean theorem to calculate AG
In any right sided triangle you can use a² + b² = c²
In our case AB² + BG² = AG²
Substitute AB = 6 and BG = 5
6² + 5² = AG²
AG² = 6*6 + 5*5
AG² = 36 + 25
AG = + - SQRT(61)
{Only the + variant of the SQRT has a meaning here.}
AG = 7,81 rounded on one decimal AG = 7,8
Sondra gets $75 a week, plus 10 percent of sales. Which equation best represents her salary? Group of answer choices
find the missing letter N if the width is 2ft and the area equal 28 sq ft
Answer:
Step-by-step explanation:
Area = 28 Sq.ft
length * width = 28
2 * n = 28
Divide both sides by 2
2n/2 = 28/2
n = 14 ft
Angles
SU and VX are parallel line.
which angles are alternate exterior angles?
XWY and STR
XWY and VWT
XWY and VWY
XWY and XWT
I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.
Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.
A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.
Identify the equation or inequality of the graph
A)2x-3y=6
B)3x+2y=-6
C)2x-3y=-6
D)3x-2y=6
Answer:b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
20 points if you can help me with problem 2.
Answer:
3, 4, 5, 6, 7, 9, 10, 11
Step-by-step explanation:
Actually it's 10 points but whatever:
I number the figures like this:
1, 2, 3
4, 5, 6
7, 8, 9
3, 4, 5, 6, 7, 9, 10, 11 work because if you cut them out and glued the sides correctly, it will become a cube.
What is the least common multiple of 8, 12 and 16?
Answer:
b
Step-by-step explanation:
Question 1
2 pts
P is between Jand K. The distance between Jand Pis 7 more than 3 times the distance
between P and K. If JK = 55, what is PK?
Answer:
29
Step-by-step explanation:
Each big square below represents one whole.
What percent is represented by the shaded area?
Answer:
59%
Step-by-step explanation:
No. of squares in a whole = 10*10=100
No. of spaces shaded = 59
No. of spaces not shaded = 41
Hence, percent represented by the shaded area = 59%
. A kite is in the shape of a parallelogram
with a 4.5 cm base and a height of
7.9 cm. What is the area of the kite?
Answer:
I believe the answer is 35.55 cm
Step-by-step explanation:
Answer:
35.55 cm
Step-by-step explanation:
To find the answer of this question is to use the method bxh.
4.5 cm
x 7.9 cm
----------------
35.55 cm
Please HELP!!!!!!!!!
Answer:
The sides are 3 and 9
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
x^2 + (3x)^2 = (3 sqrt(10))^2
x^2 + 9x^2 = 9*10
10x^2 = 90
Divide each side by 10
x^2 = 90/10
x^2 =9
Take the square root of each side
x = sqrt(9)
x = 3
The sides are x=3 and 3x = 3(3) = 9
Answer: x=10
Step-by-step explanation:
Since the original statements were x, 3x, and 3[tex]\sqrt{x}[/tex], is already given as 10 in 3[tex]\sqrt{x}[/tex], therefore, 3x is 3*10 and x is 10
Evaluate the expression below for x = 2, y = –3, and z = –1.
A.
–23
B.
–5
C.
13
D.
27
Correct question:
Evaluate the expression below for x = 2, y = –3, and z = –1.
Given: [tex] x^2 z^2 -y^2(x+z) [/tex]
Options:
A.–23
B.–5
C.13
D.27
Answer:
B. -5
Step-by-step explanation:
In this question we are given the following values:
x = 2
y = -3
z = -1
Given the expression:
[tex] x^2 z^2 -y^2(x+z) [/tex]
To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively
Therefore,
[tex] x^2 z^2 -y^2(x+z) [/tex]
Substituting values, we have:
[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]
Simplifying, we have:
[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]
[tex]= [(4) (1)] - [(9)(1)] [/tex]
[tex]= 4 - 9[/tex]
= -5
The correct answer is option B
B
The measure of ZDAB equals 110° The
measure of ZACB equals 20°.
What is mZ ABC?
D
A
Enter your answer in the box
Answer:
Given
¯¯¯¯¯¯¯¯¯
D
A
C
is a straight line, we can say its full measurement is 180°. If we know a segment of this angle,
∠
D
A
B
, is 105°, we can know that the other segment
∠
B
A
C
must equal 75, since
105
+
75
=
180
.
Once we've found the measure of
∠
B
A
C
to be 75°, and given the measure of
∠
A
C
B
to be 35, we can then find the measurement of
∠
A
B
C
.
Since we know that the sum of any triangle's angles is 180°, we can then use these known measurements as I said above.
75
+
35
+
m
∠
A
B
C
=
180
110
+
m
∠
A
B
C
=
180
m
∠
A
B
C
=
70
When you graduate from high school, you deposit all of your graduation cash into an account earning 5% interest. Ten years from now you will have
$5000 in that account. How much money did you deposit?
help quick!!!!?????
Omg I’m so sorry to interrupt but I really need help on my homework :( it’s two questions for 20 points||| can someone please help
Answer:
none
Step-by-step explanation:
57+75+95= 227
24+70+75= 169
48+64+80= 192
19+27+80=73
A right triangle equals 180 degrees.
Jael and Kelsey work at a bakery. Jael makes 8 cupcakes for every 5 cupcakes that Kelsey
makes. If Kelsey makes 175 cupcakes in one day, what is the total combined number of cupcakes that Kelsey and Jael make in one day?
Answer:
35
Step-by-step explanation:
175/5
Answer:
455 cupcakes
Step-by-step explanation:
If Jeal makes 8 cupcakes for every 5 cupcakes that Kelsey makes and Kelsey made 175 cupcakes then you divide 175 by 5 and you get 35. Then mulitply 35 by 8 and you will get 280. Lastly you add 175 and 280 and you will get 455.A data set has a lower quartile of 3 and an interquartile range of 5. Which box plot could represent this data set?
0
5
10
15
20
25
5
10
15
20
25
5
10
15
20
25
5
10
15
20
25
Which box plot could represent this data?
Answer:
First box plot
Step-by-step explanation:
In the figure attached, the options are shown.
The left end of the box is the lower quartile (also called quartile 1 or Q1)
The right end of the box is the upper quartile (also called quartile 3 or Q3)}
The interquartile range (IQR) is computed as follows:
IQR = Q3 - Q1
If Q1 = 3 and IQR = 5, then Q3 = 5 + 3 = 8
The first box plot is the only one with a lower quartile of 3 and an interquartile range of 5
The box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).
What is Interquartile Range (IQR)?Interquartile range (IQR) of a data set is the distance between the lower quartile (Q1) and the upper quartile (Q3) on a box plot.
Thus, a box plot that has a lower quartile of 3 and interquartile range of 5 will have a distance of 5 from the lower quartile to the upper quartile.
Therefore, the box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).
Learn more about interquartile range on:
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Sara solved the equation -6(x-2) + 3x = -3(x+3) + 21 What is the solution?
pls help :)
To solve you can use inverse operations.
Here are the steps to find the answer:
1. Write out the equation: -6(x-2)+3x= -3(x+3) +21
2. Distribute both sides: -6x+12+3x= -3x-9+21
3. Simplify both sides: -3x+12=-3x+12
4. This equation is true for all values, or infinity, because the equation is the same on both sides
Let me know if you need further explanation. I hope this helps.
What is 1/2 of 7/8? In fraction firm
1/2*7/8=7/16
Answer:
7/16
The required fraction of 1/2 of 7/8 is given as 7/16.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
1/2 of 7/8 = 1/2 × 7/8
= 7 / 16
Thus, the required fraction of 1/2 of 7/8 is given as 7/16.
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Please help with this
Answer:
[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]
Step-by-step explanation:
A perfect square is a number that has two identical factors, meaning it can be square rooted. The numbers 64 and 100 are an example:
8 · 8 = 64
10 · 10 = 100
So when you take the square root of [tex]\frac{64}{100}[/tex], you get:
[tex]\frac{\sqrt{8} }{\sqrt{10} }[/tex]
It doesn't say to simplify, so we can just leave it at that.
Consider the triangle shown. Triangle R P Q is shown. Angle Q R P is 40 degrees. Angle R P Q is 105 degrees. Angle P Q R is 35 degrees. Which shows the sides in order from longest to shortest? Line segment P Q, line segment R Q, line segment R P Line segment R Q, Line segment P Q, line segment P Q Line segment R Q, line segment R P, line segment P Q Line segment R P, line segment P Q, line segment R Q
Answer:
RQ, PQ and RP.
Step-by-step explanation:
Note: Options are not correct.
From the given information, in triangle RPQ
[tex]\angle QRP=40^\circ[/tex]
[tex]\angle RPQ=105^\circ[/tex]
[tex]\angle PQR=35^\circ[/tex]
In a triangle, greatest angle has longest opposite side and smallest angle has shortest opposite side
Now,
[tex]\angle RPQ>\angle QRP>\angle PQR[/tex]
[tex]RQ>QP>PR[/tex]
[tex]RQ>PQ>RP[/tex]
Therefore, the order from longest to shortest is RQ, PQ and RP.
Answer:
RQ, PQ and RP.
Step-by-step explanation:
