Answer:
[tex]-\frac{8}{5} = -1\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]1 \frac{4}{5} = \frac{9}{5}[/tex]
[tex]-3 \frac{4}{10} = -\frac{34}{10} = -\frac{17}{5}[/tex]
Multiply the whole number by the denominator and add that to the numerator. I simplified [tex]-\frac{34}{10}[/tex] by dividing by two getting [tex]-\frac{17}{5}[/tex]. Then add [tex]\frac{9}{5}[/tex] and [tex]-\frac{17}{5}[/tex] together. Then put [tex]-\frac{8}{5}[/tex] into a mixed fraction. How many times does 5 go into 8 and what is the remainder? The answer is -1 times and the remainder is 3. The mixed fraction is [tex]-1 \frac{3}{5}[/tex].
The expression 1 4/10 + (-3 4/10 gives the value -1 3/5.
What are Mixed Fractions?Mixed fractions are type of fractions which consist of a whole number part and a fractional part.
Mixed fractions are of the form a b/c where a is the whole number part and b/c is the fractional part.
Given expression is,
1 4/5 + (-3 4/10)
Since a positive and negative combined, it becomes negative.
Also mixed fractions can be converted into improper fractions.
1 4/5 + (-3 4/10) = 1 4/5 - 3 4/10
= [(1 × 5 + 4) / 5] - [(3 × 10 + 4) / 10]
= (9 / 5) - (34 / 10)
Making the denominator of first fraction equal by multiplying with 2 on both numerator and denominator,
1 4/5 + (-3 4/10) = [(9 × 2) / (5 × 2)] - [34 / 10]
= (18 / 10) - (34 / 10)
= -16 / 10
= -1 6/10
= -1 3/5
Hence the value of the expression is -1 3/5.
Learn more about Mixed Fractions here :
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Classify the following triangle as acute, obtuse, or right.
150
80%
O A. Obtuse
O B. Acute
O C. Right
O D. None of these
Find the mode 24,22,46,23,20,25,24
Answer:
24
Step-by-step explanation:
We are given a strand of numbers and are asked to find the mode.
To find mode, we have to see which number appears the most within the number strand, let's start with ordering the numbers from least to greatest.
20, 22, 23, 24, 24, 25, 46
Looking at the strand we see that 24 appears the most, therefore 24 is the mode.
Answer:
24
Step-by-step explanation:
Put the numbers in order.
20, 22, 23, 24, 24, 25, 46
Count how many of each number.
20
22
23
24, 24
25
46
The number that appeared the most is the mode.
24 appeared twice and the other numbers appeared only once.
A twin-engined aircraft can fly 816 miles from city A to city B in 4 hours with the wind
and make the return trip in 6 hours against the wind. What is the speed of the wind?
Answer:
,mnl.khvmfjdrykytdd7ir rvrtuy
Step-by-step explanation:
Which number is in the solution set for the following inequality?
5x +3> 38
A. 5
B. 6
C. 7
D. 8
Aísle la variable dividiendo cada lado por factores que no contienen la variable.
Forma de inecuación:
×>7
Notación de intervalos:
(7,∞)(7,∞)
Please anyone help me on this
iiii wish iiiis corrrrrrect
Which one does not belong?
Answer:
should be the one in the yellow square
Step-by-step explanation:
pls answer show work, At a store, notebooks are on sale for 78% off the regular price. The cost of a notebook is represented by n. Which of the following expressions does NOT represent the sale price of the notebooks?
A.
n + 0.22n
B.
(1 – 0.78)n
C.
0.22n
D.
n – 0.78n
Answer:
CStep-by-step explanation:
dont subtract the cost of the notebook by 0.78 while multiping it with the cost.Write an equation to determine the value of x. Solve for x.
Answer:
Step-by-step explanation:
8x+(6x+6) = 90
14x = 84
x = 6°
Pls Help! Brainliest if you can get it right!
Step-by-step explanation:
90-2x + 3x + 60 = 180
90 + x + 60 = 180
x + 150 = 180
x = 30°
A company produces two types of bicycles; mountain bikes and racing bikes. It takes 5 hours of assembly time and 4 hours of mechanical tuning to produce a mountain bike. It takes 10 hours of assembly time and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week and at most 152 hours of assembly labor per week. The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The company wants to make as much money as possible. Let x = the number of mountain bikes they produce, and let y = the number of racing bikes they produce. What are the constraints for this problem?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of mountain bikes they produce, and let y represent the number of racing bikes they produce.
It takes 4 hours of mechanical tuning to produce a mountain bike and 2 hours of mechanical tuning to produce a racing bike. The company has at most 23 hours of mechanical tuning labor per week. Therefore the constraint is:
4x + 2y ≤ 23 (1)
It takes 5 hours of assembly time to produce a mountain bike and 10 hours of assembly time to produce a racing bike. The company has at most 152 hours of mechanical tuning labor per week. Therefore the constraint is:
5x + 10y ≤ 152 (2)
Also, x, y ≥ 0 (3)
The company's profit is $40 for each mountain bike produced and $140 for each racing bike produced. The profit equation is:
Profit = 40x + 140y
Plotting the constraints equation 1 and equation 2 using geogebra online graphing tool. The solution are (0,0), (5,75, 0), (0, 11.5)
At (0,0); Profit = 40(0) + 140(0) = 0
At (5.75,0); Profit = 40(5.75) + 140(0) = 230
At (0,11.5); Profit = 40(0) + 140(11.5) = 1610
The maximum profit is at (0, 11.5)
I need help within the next 15 mins
Answer:30
Step-by-step explanation: LxW (length x Width) 3x10=30.... Hope this helps... if you break it down then you can write down (10) on your page but the answer is 30
Part B
Jose predicts that the value of his car will decrease exponentially by 25% over the next 4 years. If Jose's prediction
is correct, about how much will his car be valued at, to the nearest thousand dollars, after 4 more years?
Mr.Fuller wants to put fencing around his rectuangular-shaped yard. The width of the yard is 55 feet and the length is 75 feet. How many feet of fencing does Mr.fuller need
Answer: 22% fencing
Step-by-step explanation:
Mr. Fuller needs 260 feet of fencing to put around his rectangular yard.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
To find the perimeter of the rectangular yard, we need to add up the lengths of all four sides.
The two sides that are 55 feet long are the width of the yard, and the two sides that are 75 feet long are the length of the yard.
So, the perimeter of the yard is:
Perimeter = 2 × (length + width)
Perimeter = 2 × (75 feet + 55 feet)
Perimeter = 2 × 130 feet
Perimeter = 260 feet
Therefore, Mr. Fuller needs 260 feet of fencing to put around his rectangular yard.
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If you spin the spinner 54 times, what is the best prediction possible for the number of times it will land on blue?
what is 3333 x 45 x 3445 ill gave you a bainliest
Answer: 516698325
Step-by-step explanation:
Don’t mind the check make but which statement describes the error the student made in simplifying the equation
Answer:
i think A sorry i dont know for suee
Each season a school basketball team plays 3 practice games and then plays 2 regular seasons games against each of x teams. Which expression represents the total number of practice and regular seasons games played by the school basketball team in a season?
Answer:
3x+2x=total number
Step-by-step explanation:
7/16 = x/32 what is the value of x?
The honeybee dataset contains data collected from the USDA on the estimated number of honeybee colonies (in thousands) for the years 1995 through 2012. We use technology to find that a regression line to predict number of thousand) colonies from year (in calendar year) is:
Colonies = 19, 291,511-8.358(Year)
a. Interpret the slope of the line in context as done in the textbook.
b. Often researchers will adjust a year explanatory variable such that it represents years since the first-year data were collected. Why might they do this? (Hint: Consider interpreting the y-intercept in this regression line.)
c. Beginning with the equation and showing the steps, predict the bee population in 2100. State why or why not this prediction is appropriate.
Solution :
a). [tex]$\widehat{y} = 19291511 - 8.358 $[/tex] (year)
As one year increases, the honey bees decreases by 8.358 in thousands.
b). As the year is kept constant, at the start of the regression, the basic value of bees is 19291511 in 1995.
c). Prediction of population of homey bees in the year 2100.
x = 105
[tex]$\widehat{y} = 19291511-8.358(105)(1000)$[/tex]
= 19291511 - 877590
= 18413921
It is not an appropriate prediction as the year 2100 is out of the range of the given regression model.
rewrite the following equation in slope-intercept form
y-6=-9(x-5)
Answer:
y=-9x+51
Step-by-step explanation:
-9x+45=y-6
add 6 to both sides to get
-9x +51=y
what is the range of the data below 625,638,619,677,638,659
Answer:
34
Step-by-step explanation:659-625=34
I'm almost completely out of points. Pls answer this. I don't get it
Step-by-step explanation:
10. 2(x^2 + 6x + 5): factor out 2
2(x + 5)(x + 1)
After factoring out the 2, find the 2 numbers that multiply to get 5 and add to 6
5 + 1 = 6
5*1 = 5
x^2 = x * x
11. (x - 10)(x - 4)
12. (a - 8b)(a + 8b)
a^2 + 8ab - 8ab - 64b^2
First: a*a = a^2
Outside 8b*a = 8ab
Inside: -8b*a = -8ab
Last: -8b*8b= -64b^2
Suppose that a box of 86 circuits is sent to a manufacturing plant. Of the 86 circuits shipped, 5 are defective. The plant manager receiving the circuits randomly selects 2, without replacement, and tests them. If both circuits work, the manager will accept the shipment. Otherwise the shipment is rejected. What is the probability that the shipment is accepted
Answer:
the probability that the shipment is accepted is 0.8865
Step-by-step explanation:
Given the data in the question;
N = 86, n/d = 5 and n = 2
now, without replacement
the probability that the shipment is accepted will be;
probability that the shipment is accepted = probability that non is defectives
so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))
p( non is defective ) = ( 81 / 86) × (80/85)
p( non is defective ) = 0.8865
Therefore, the probability that the shipment is accepted is 0.8865
‼️help‼️ If anyone could please help with this I would very much appreciate it, it’s due today!!!!
Answer:
So what should we figure out?
Step-by-step explanation:
Simplify to create an equivalent expression. 6(3 + t) + (2t + 5) x 2
Step-by-step explanation:
28+10t is the simplest expression
If a1 = 4 and an = -3an-1 then find the value of a4.
Answer:
[tex]a_4 = -108[/tex]
Step-by-step explanation:
Given
[tex]a_n = -3a_{n-1}[/tex]
[tex]a_1 = 4[/tex]
Required
Find [tex]a_4[/tex]
[tex]a_4 = -3a_{4-1}[/tex]
[tex]a_4 = -3a_3[/tex]
We calculate for a3
[tex]a_3 = -3a_{3-1}[/tex]
[tex]a_3 = -3a_2[/tex]
Calculate for a2
[tex]a_2 = -3a_{2-1[/tex]
[tex]a_2 = -3a_1[/tex]
Substitute 4 for a1
[tex]a_2 = -3*4[/tex]
[tex]a_2 = -12[/tex]
Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]
[tex]a_3 = -3 * -12[/tex]
[tex]a_3 = 36[/tex]
Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]
[tex]a_4 = -3*36[/tex]
[tex]a_4 = -108[/tex]
1.7x0.825
0.24x3.3
Pls help thx
Answer: 1. 1.4025
2. 0.729
Step-by-step explanation:
Answers:
first one - 1.4025
second one - 0.792
Factor 25b – 14b
b(25 – 14)
b(25 + 14)
-b(25 – 14)
-b(25 + 14)
Please help!!!!!!!!!!
Step-by-step explanation:
180-86= 94 is the answer
PLEASE HELP ASAP 50 POINTS AND BRAINLIEST EASY QUESTION!
Which options have a unit rate of 3?
1. 3 3/4 : 2
2. 2 : 2/3
3. 15/2 : 2 1/2
4. 2 1/2 : 5/6
5. 1 : 1/4
6. 2/3 : 1
PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEASE!