Answer:
the answer is x intercept is 8 and the y intercept is 10
From 12.5 liters of coolant containing 13.4% antifreeze, 5.50 liters are removed.
If 5.50 liters of pure antifreeze is then added, how much
antitreeze will be con
tained in the fina mixture?
Answer:
6.438 [litres].
Step-by-step explanation:
1) the condition '5.50 liters are removed' means the coolant 12.5-5.5=7 [litres] with 13.4% solution;
2) the condition 'coolant containing 13.4% antifreeze' means 7*0.134=0.938 [litres] of pure antifreeze in the 7 litres coolant;
3) the condition '5.50 liters of pure antifreeze is then added' means 0.938+5.5 [litres];
4) finally, it is contained 0.938+5.5=6.438 [litres] of antifreeze will be contained in the final mixture.
If AB = 63° and BE = 0°, what is the measure of LABE?
The measure of angle ABE is 63 degrees
How to determine the measure of angle ABE?The given parameters are
<AB = 63°
<BE = 0°
The measure of angle ABE is calculated using
<ABE = <AB + <BE
This is so because the angles AB and BE share a common point at B
So, we have
<ABE = 63 + 0
Evaluate the sum
<ABE = 63
Hence, the measure of angle ABE is 63 degrees
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Complete question
If AB = 63° and BE = 0°, what is the measure of <ABE?
89% of 195= What + rounding
Answer:
173.55
Step-by-step explanation:
or if you round 174
In the following expression, the 2 distributes to the 3 and to the 4 :
(2)(3)(4) = (2)(3)(2)(4)
True or false?
Nancy reads 10 pages of her a book a day. How many pages does she read in 4 days?
Answer:
40 pages
Step-by-step explanation:
10 pages per day times 4 days equals forty pages in four days.
Hope this helps! :)
Diego makes an open-top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is 15 inches by 15 inches. The volumeV(x) in cubic inches of the open-top box is a function of the side length x in inches of the square cutouts.
The volume V(x) in cubic inches of the open-top box is (15[tex]x^{2}[/tex] - 2[tex]x^{3}[/tex])
and side of length x in inches of the square cutouts is
V(1) = 15 - 2 = 13
x ∠ 7.5
The vertical sides were 15 inches before we cut out the corners.
The horizontal sides were 15 inches before we cut out the corners.
So now, if you fold all of the "tabs" up, you get a box that has a height of "x".
The sides are now each missing a length of "x" from each end.
So the longer edges of the box are now (15 - 2x) long.
The shorter edges of the box are now (15 - 2x)
The volume of a box is given by V = (length)(width)(height)
length = 15 - 2x
width and height of the box are equal to x in so
Multiply these together and get:
V(x) = (15 - 2x)(x)(x)
V (x) = (15[tex]x^{2}[/tex] - 2[tex]x^{3}[/tex])
let x = 1
V (x) = (15[tex]x^{2}[/tex] - 2[tex]x^{3}[/tex])
V(1) = 15 - 2 = 13
First x must be greater than 0,
then, we have 2x ∠ 15
x ∠ 7.5
therefore, The volume V(x) in cubic inches of the open-top box is (15[tex]x^{2}[/tex] - 2[tex]x^{3}[/tex])
side of length x in inches of the square cutouts is
V(1) = 15 - 2 = 13
x ∠ 7.5
This unit has two parts:
The surface area of a box, and its volume
The length of the diagonal of a box
Each student should bring an empty cereal box (or some other box) to work on. (The length, width, and height of the box should all be different.)
Formula for the area of the surface
(a) If l, w, and h are the length, width, and height of a box, its surface area is given by surface area = 2*(l*w + l*h + w*h). (Do you see it?)
(b) Measurements
Measurements are made in inches and sixteenths of an inch, but they are recorded as decimals.
1/8 inch = .125 inch, ¼ inch = .25 inch, 3/8 inch = .375 inch, ½ inch = .5 inch, and so on.
Example:
length l = 8.375 inches
width w = 6.125 inches
height = 2.25 inches
(c) How to enter these measurements into a TI-108 calculator to get the surface area:
8.375*6.125 M+ 51.29…
8.375*2.25 M+ 18.84…
6.125*2.25 M+ 13.78…
MRC * 2 = 167.84… square inches
We round this to 168 square inches (more or less)
Part 1b. We can also find the volume of the box:
volume = l*w*h = 8.375*6.125*2.25 = 115.4… cubic inches
If this were a hands-on unit, we would paper the box with square inch paper and fill the box with cubic inch blocks to see whether our computations are confirmed.
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Can someone help me with this question? It's due tomorrow :(
The measures of the angles D, F and B are 43°, 105° and 32°, respectively. (Correct choice: C)
What are the values of the missing angles?
Herein we find a geometric system generated by two parallel lines and two lines that pass through the two lines. The values of the missing angles by using triangle properties and concepts of alternating internal angles, supplementary angles and vertical angles. Now we proceed to find the measures of the missing angles:
m ∠ C + m ∠ F + m ∠ D = 180° Sum of the measures of internal angles in a trianglem ∠ D = 180° - 137° = 43° Supplementary anglesm ∠ F = 180° - 32° - 43° = 105° Step 1 / Algebram ∠ F' = 105° Step 3 / Vertical anglesm ∠ B = m ∠ C = 32° Internal alternating anglesTo learn more on angles: https://brainly.com/question/14954407
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In a survey of 100 resorts, it was found that
28 had a spa.
44 had a children's club.
11 had a spa and children's club.
9 had all three features.
Complete parts a) through e).
59 had a fitness center.
16 had a spa and a fitness center.
21 had a fitness center and children's club.
a) How many of the resorts surveyed had only a spa?
(Type a whole number.)
Out of 100 resorts surveyed, it was found out that 28 resorts only have spa inside them.
We have a survey of 100 resorts.
We have to determine how many of the resorts surveyed had only a spa.
What are sets ?Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form.
According to the question -
Out of 100 resorts, we have to find the resorts that contain only spa.
The whole number representing the number of resorts that only have spa is 28.
Hence, 28 out of 100 resorts only have spa.
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251,31 rounded to the nearest thousand
Answer:
25000
Step-by-step explanation:
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Write a real-world problem that could be represented by the inequality below. 0.1x + 65.5 < 0.5x + 60
Please help
The real-world problem for the given inequality is [tex]x > 13.75[/tex]
How do you describe inequality?
An inequality compares two values and indicates whether one is lower, higher, or just not equal to the other. The phrase "[tex]a\geq b[/tex]" denotes that an is more than or equal to b.
Given:
[tex]0.1x+65.5 < 0.5x+60[/tex]
Place the unknown terms on the equation's left side:
[tex]0.1x-0.5x < 60-65.5\\-0.4x < -5.5[/tex]
Divide the above equation with 0.4
[tex]\frac{-0.4x}{0.4} < \frac{5.5}{0.4}[/tex]
[tex]-x < \frac{-55}{4}[/tex]
[tex]-x < -13.75[/tex]
[tex]x > 13.75[/tex]
Therefore, the real-world problem for the given inequality is [tex]x > 13.75[/tex]
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Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
At a boating and sports store, the cost of renting a personal watercraft is $36.40 per half hour, which includes a 4% sales tax. Determine the cost of a half hour rental before tax.
The equation is _____. The cost of a half hour rental is $____ per half hour.
(Type an equation using x as the variable.)
Answer: $40
Step-by-step explanation:
Given the following :
Total cost of renting a personal water craft = $36.40
Sales tax charged = 4%
Let the pretax cost = y
Therefore,
total cost = pretax cost + tax
$36.40 = y + 4% of y
$36.40 = y + 0.04y
$36.40 = 1.04y
y = $36.40 / 1.04
y = $40
Therefore, the rental cost of a personal watercraft for half an hour before tax is $40
please help
please hurry
The graph of the function is graph (b)
How to determine the graph of the function?The equation of the graph is given as
f(x) = |x - 3|
The above equation is an absolute value function
An absolute value function is represented as
f(x) = a|x - h| + k
Where the vertex is
Vertex = (h, k)
From the given equation, we have
(h, k) = (3, 0)
a = 1
When a is positive, the graph opens up
From the graphs in the options, we have graph (b) that has the following features
(h, k) = (3, 0) and it opens upward
Hence, the graph of the function is graph (b)
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What is the area of the triangle?
If a number is 10 more than two-thirds of the same number, then find the number.
Answer:
30
Step-by-step explanation:
Hello!
Let the unknown number be x.
Converting from English to Algebra, we are given the equation:
[tex]x = 10 + \frac23x[/tex]Solve for x by isolating the variable.
Solve for x[tex]x = 10 + \frac23x[/tex] Multiply everything by 3 to remove the fraction[tex]3x = 30 + 2x[/tex] Subtract 2x from both sides[tex]x = 30[/tex]The value of that number is 30.
Lance is putting a new countertop in his kitchen and is comparing the cost of granite and marble. The cost of granite is $42.78 a square foot. The cost of marble is $57.23 a square foot. If Lance needs 30.25 square feet of countertop, how much more would he pay for the marble countertop than the granite countertop?
Lance would have to pay $437.1125 more for the marble countertop than the granite countertop .
Cost of granite per square feet = $ 42.78
Cost of marble per square feet = $ 57.23
Lance needs 30.25 square feet of countertop,
therefore ,
if he use granite , he would have to pay
30.25 * ( 42.78 ) = $ 1294.095
if he use marble , he would have to pay
30.25 * ( 57.23 ) = $ 1731.2075
Hence , he would have to pay $ 1731.2075 - $ 1294.095 = $437.1125 more for the marble countertop than the granite countertop .
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Arrange these numbers in order of size
from smallest to largest.
13.07
3.76
3.8
13.45
Answer:
3.76, 3.8, 13.07, 13.45
Step-by-step explanation:
Answer:
3.76, 3.8, 13.07, 13.45
Step-by-step explanation:
Jonas’s dropped Hey San back from a hot air balloon at a target that is 250 m below the balloon at this moment to sandbagger 75 m below the balloon which of the following expressions represents the distance between the sand bag and the target
Expressions which represent the distance between the sandbag and the target is:
250-75 meters
i.e. 175 meters
Jonas's dropped a sandbag from a hot air balloon at a target that is 250 meters below the balloon.
At this moment, the sandbag is 75 meters below the balloon.
Then, distance between the sandbag and the target is:
250-75 meters
i.e. 175 meters
Hence, expressions which represent the distance between the sandbag and the target is:
250-75 meters
i.e. 175 meters
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Divide The quantity 3.185 times ten raised to the seventeenth power end quantity divided by the quantity 9.1 times ten raised to the eighth power end quantity.. Write the final answer in scientific notation.
3.5 x 108
0.35 x 109
3.5 x 109
0.35 x 1025
The division of the numbers in indices will be B. 0.35 × 10^9
How to compute the value?It should be noted that the information is about the division of indices.
This will be:
(3.185 × 10^17) / (9.1 × 10^8)
= 0.35 × 10^9
In conclusion, the correct option is B.
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subtract the sum of - 42 and -147 from the difference of - 283 and -415
Answer:
Sum of −42 and −147
=−42+(−147)=−42−147=−189
Difference of −283 and −415
=greater number−smaller number=−283−(−415)=415−283=132
Subtracting −189 from 132
=132−(−189)=132+189=321
Help please just need to see if I’m doing this right
3x = 3x is true for all values of x.
Hence, x| x is a set all real numbers. ( -∞,∞ )
What is the solution to the given equation?Given the equation in the question;
3(2x + 2) - 3x = 6 + 3xx = ?Remove the parenthesis using the distributive property.
3(2x + 2) - 3x = 6 + 3x
3×2x + 3×2 - 3x = 6 + 3x
6x + 6 - 3x = 6 + 3x
6x - 3x = 6 - 6 + 3x
6x - 3x = 3x
3x = 3x
3x = 3x is true for all values of x.
Hence, x| x is a set all real numbers. ( -∞,∞ )
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Find the product of 42/8 × 15/14
Answer:
There are 3 different ways to write it
Step-by-step explanation:
the first one is:
Exact form 45/8
decimal form 5.625
mixed number 5 5/8
Hope this helps
what is 5 4/5 as in improper fraction
Answer:
29/5
Step-by-step explanation:
5 x 5 +4 = 29
now in fraction form it is 29/5.
Only answer if you are 100%. sure but pls answer quickly
Answer:
It's A, 9.23 × 10⁻⁴
Answer:
A
Step-by-step explanation:
All my work is provided in the attached screenshot!
Solve this
m−152=3+m10−3
m=?
Answer: -152/9
Step-by-step explanation:
m−152=3+m10−3
m−152=3+10m−3
m−152=10m+3−3
m-152=10m
-152=9m
m=-152/9
Use the graph of the function to find its domain and range. Write the domain and range in interval notation.
Can someone pls help me with this question
Domain: (-infinity, 5)
Range; [-3, infinity)
SUBTRACT
5 2/5 - (-2 4/15)
Answer:
7.66666666667
Step-by-step explanation:
I looked it up
helppp just number 1 :,(
Answer:
9
Step-by-step explanation:
The distance is the positive difference in the coordinates.
[tex]BD=|-6-3|=9 [/tex]
If you are 48 Inches how tall are you in cm? round to the nearest tenths 1in=2.54 cm
Answer: 121.9
Step-by-step explanation:
2.54 × 48 is 121.92
Answer: 121.9
Step-by-step explanation: 48×2.54=121.
Find p75
(Do not Round)
Answer:
a
Step-by-step explanation:
the apple is a baddie
Tell whether the triangles are similar.
Answer: i'm gonna say the other one is smaller
Step-by-step explanation:
each side is technically the same. that one is only smaller
