Answer:
Step-by-step explanation:
convert mixed fraction into improper fraction
[tex]5\frac{3}{4}=\frac{23}{4}\\\\\\3\frac{7}{8}=\frac{31}{8}\\\\5\frac{3}{4}-[-3\frac{7}{8}]=\frac{23}{4}+\frac{31}{8}\\\\=\frac{23*2}{4*2}+\frac{31}{8}\\\\=\frac{46}{8}+\frac{31}{8}\\\\=\frac{46+31}{8}\\\\\\=\frac{77}{8}\\\\=9\frac{5}{8}[/tex]
Answer:
9 5/8.
Step-by-step explanation:
5 3/4 - (-3 7/8)
= 5 3/4 + 3 7/8
= 5 + 3 + 3/4 + 7/8
= 8 + 3/4 + 7/8
The LCD of 4 and 8 is 8 so we get
8 + 6/8 + 7/8
= 8 + 13/8
= 8 + 1 5/8
= 9 5/8.
The table below shows some inputs and outputs of the invertible function with domain all real numbers.
Find the following values:
Thanks :D
Answer:
f⁻¹(-2) = 3 and f⁻¹(1) = 0.
Step-by-step explanation:
By the definition of inverse functions:
[tex]\displaystyle \text{If } f(a) = b\text{, then } f^{-1}(b) = a[/tex]
From the table, note that f(3) = -2.
Then by definition, f⁻¹(-2) = 3.
Likewise, f(0) = 1.
Then by definition, f⁻¹(1) = 0.
find the area of parallelogram and round to the nearest tenth.
Answer:
A=b×h
A=13.8×6
A=82.8 in²
A≈83in²
Step-by-step explanation:
if the first step of the equation -8 - 7x = -5x - 10 is " add 10" then what should be done next?
Answer:
Add 7x to each side
Step-by-step explanation:
-8 - 7x = -5x - 10
Add 10 to each side
-8 - 7x+10 = -5x - 10+10
2 -7x = -5x
Add 7x to each side
2-7x+7x = -5x+7x
2 = 2x
Answer: See below
Step-by-step explanation:
[tex]-8 - 7x = -5x - 10[/tex]
I believe it is adding 8 on both sides
The next step after adding 8 on both sides is adding 5x on both sides
[tex]-7x=-5x-2[/tex]
[tex]-7x+5x=-5x-2+5x[/tex]
[tex]-2x=-2[/tex]
x=1
A VERTICAL POLE OF CAST A SHADOW OF 4.5m LONG AT THE SAME TIME A TREE OF HEIGHT 24m LONG CAST A SHADOW OF 6m LONG. FIND THE HEIGHT OF THE POLE.
Answer:
18 metres
Step-by-step explanation:
4.5/6 = x/24
¾= x/24
x = 18 m
Simplfy |8|+|-3|-|-7|
Step-by-step explanation:
|8| + |-3| - |-7|
= 8 - 3 + 7 = 12
3x(x-2y)-4(x-5y).any answer please respond
Answer:
Step-by-step explanation:
3x(x - 2y) - 4(x - 5y) = 3x*x - 3x*2y + x*(-4) - 5y*(-4) {Distributive property}
= 3x² - 6xy - 4x + 20y
the distance travelled by light in 1year is called light year. the valued of 1 light year is about 9460000000000km.express it in scientific notation.
Answer:
9.46×10¹²
Step-by-step explanation:
To express that number in scientific notation you have to move the invisible decimal point from the end to the left in between the first and second number to the left
9460000000000
9.46×10¹²
i hope this helps and if you have any more questions please feel free to ask.
represent 1/3 and 5/2 on the same number line
Answer:
Picture below
Step-by-step explanation:
● 5/2 is 2.5 so just divide the space between 3 by 2
● for 1/3 divide the space between 0 and by 3
Bryce is making a model building. He raises the walls of the building by 2centimeters five times. By how many centimeters does Bryce raise the walls all together?
Answer:
C. 10cm
Step-by-step explanation:
Bryce is making a model building.
He raises the walls of the building
by 2 centimeters five times. By how
many centimeters does Bryce raise
the walls all together?
(A) 2 cm
(C) 10 cm
(B) 5 cm
(D) 20 cm
Bryce raises the walls of the building 2centimeters five times
This means, he raises the walls 2centimeters five different times
By how many centimeters does Bryce raise the walls all together?
We can solve this by finding the product of 2centimeters five times
The total centimeters Bryce raises the walls altogether= 2 centimeters × 5 times
=2cm × 5
=10cm
12. a trader gained 15% by selling an
article for N1560.00, what is the cost
price of the article?
Answer:
N1356
Step-by-step explanation: I hope it helps :)
[tex]Profit \% = 15\%\\Selling -Price = N1560.00\\C.P = ?\\\\CP = ( SP \times 100 ) / ( 100 + percentage \: profit).\\C.P =\frac{Selling \:price \times 100}{100+ Profit \%} \\\\C.P = \frac{1560\times 100}{100+15} \\\\C .P = \frac{156000}{115} \\\\C.P =N1356.5[/tex]
Find the value of x in the figure below.
A. 25
B. 35
C. 45
D. 65
Answer:x=45
Step-by-step explanation:
It is an equation
What is -
x+3x=25
2x+36x=2
Answer:
Answer 1 : 25/4
Answer 2 : 1/19
Step-by-step explanation:
Question 1:
x + 3x = 25
4x = 25
x = 25/4
Question 2:
2x+36x=2
38x = 2
x = 2/38
x = 1/19
SOMEBODY PLS HALP ;( According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0
Answer:
B
Step-by-step explanation:
B sqrtb is right in front of 2, so 2 squared is 4, so a little bit more than 2 squared will be a little more than four.
Answer:
C) C < 4
Step-by-step explanation:
because c is on the right side of four on the number line
A group of friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves
Complete question:
A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves. Which equations and solutions describe the situation? Check all that apply. The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill. The equation 1/8 (x+16)=76 represents the situation, where x is the food bill. The solution x=60 represents the total food bill. The solution x=60 represents each friend’s share of the food bill and tip. The equation 8(x+16)=76 represents the situation, where x is the food bill.
Answer:
The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill
The solution x=60 represents the total food bill
Step-by-step explanation:
Given the following :
Total amount spent = $76
Amount paid as tip = $16
Number of friends = 8
Total Cost of lunch consists of:
Actual Cost of food + amount of tip
Let actual cost of food = x
Total cost of lunch is thus :
x + $16 = $76
If the friends are to each the bill equally:
Then:
Divide both sides by 8:
(1/8)* (x + 16) = 76/8
Therefore,
(x + 16) / 8 = 76/8
x + 16 = 76 / 8
(x + 16)/8 = 9.5
x + 16 = 9.5 * 8
x + 16 = 76
x = 76 - 16
x = 60
Answer:
A
and
C
Step-by-step explanation:
Who can do 20 assignments in math for me rn needs to b finish in 5 hours?
u need to finish 4 assignments in 1 hour
Find the measure of each angle indicated. Round to the nearest tenth.
A) 49°
C) 38.1°
B) 44.90
D) 42.89
Can you please help explain how to find the answer
Answer:
D
Step-by-step explanation:
So we want to find θ. We are already given the hypotenuse and the side length opposite to θ. Therefore, we can use the trig function sine to find θ.
Recall that:
[tex]\sin(\theta)=opp/hyp[/tex]
Plug in 10.2 for the opposite side and 15 for the hypotenuse:
[tex]\sin(\theta)=10.2/15[/tex]
Solve for θ. Use a calculator:
[tex]\theta=\sin^{-1}(10.2/15)\\\theta\approx42.8436\textdegree[/tex]
The answer is D.
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
Answer:
0.5 is the answer of this question
bro!
A blimp is 1100 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those measurements are 75.2° and 17.9°, how far apart are the two stadiums?
Answer:
The two stadiums are approximately 3115.1 meters away from each other
Step-by-step explanation:
Since we can construct two right angle triangles between the blimp and the two stadiums as shown in the attached image, then the distance "x" between the two can be find as the difference between the right triangle legs that extend on the ground.
In order to find the size of such legs, one can use the tangent function of the given depression angles as shown below:
[tex]tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx 290.6\,\,meters[/tex]
and for the other one:
[tex]tan(17.9^o)=\frac{1100}{b} \\b=\frac{1100}{tan(17.9^o)}\\b\approx 3405.7\,\,meters[/tex]
The the distance between the stadiums is the difference:
b - a = 3405.7 - 290.6 meters = 3115.1 meters
The lines on a 2-cup liquid measuring cup divide each cup into eighths. If you measure 1 3/4 cups of water, between which two quantities can you be certain that your exact measurement will be?
Answer:
1 3/4 cups is between the 13th and 15th lines from the bottom.
Step-by-step explanation:
The bottom of the cup has no line and corresponds to 0 eights.
1st line up: 1/8 cup
2nd line up: 2/8 cup this is also called 1/4 cup
3rd line up: 3/8 cup
4th line up: 4/8 cup this is also called 1/2 cup
5th line up: 5/8 cup
6th line up: 6/8 cup this is also called 3/4 cup
7th line up: 7/8 cup
8th line up: 8/8 cup this is also called 1 cup
9th line up: 9/8 cup
10th line up: 10/8 cup this is also called 1 1/4 cup
11th line up: 1 3/8 cup
12th line up: 1 4/8 cup this is also called 1 1/2 cup
13th line up: 1 5/8 cup
14th line up: 1 6/8 cup this is also called 1 3/4 cup
15th line up: 1 7/8 cup
16th line up: 1 8/8 cup this is also called 2 cups
1 3/4 cups is between the 13th and 15th lines from the bottom.
What is the value of the expression below when y = 4?
3y2 + y + 8
Answer:
3y²+y+8
=3(4)²+4+8
=3(16)+4+8
=48+4+8
=60
The axis of symmetry for a quadratic equation can be found using the formula x equals StartFraction negative b Over 2 a EndFraction, where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane. What is the equation when solved for a?
Answer:
[tex]a=-\frac{b}{2x}[/tex]
Step-by-step explanation:
The equation of a quadratic function is given as:
ax² + bx + c = 0
where a, b and c are the coefficient in the quadratic equation.
The axis of symmetry of the quadratic equation is given as:
[tex]x=-\frac{b}{2a}[/tex]
To get the equation for a, we have to make a the subject of formula:
[tex]x=-\frac{b}{2a}\\\\multiply\ both\ sides\ by \ 2a:\\\\x*2a=-\frac{b}{2a}*2a\\\\2ax=-b\\\\Divide\ through\ by\ 2a\\\\2ax/2a=-b/2a\\\\a=-\frac{b}{2x}[/tex]
The value of a when solved from x = -b/2a is;
a = -b/2x
We are given the formula for axis of symmetry of a quadratic equation to be;
x = -b/2a
Where;
a and b are coefficients in the quadratic equation
x represents the values along a vertical line on the coordinate plane.
Now, we want to solve for a which means we make it the subject of the equation;
Using multiplication property of equality, we multiply both sides by 2a to get;
2ax = -b
We now use division property of equality by dividing both sides by 2x to get;
a = -b/2x
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Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the
meeting, so they need at least 100 pieces of sushi in total.
Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi
comes in rolls, and each roll contains 12 pieces and costs $8.
Let R represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:
Answer:
The answer is given below
Step-by-step explanation:
The options are not given but I would list the inequalities needed to solve this problem.
As a result of increase in people to attend meeting, the number of sushi needed to be ordered is 100 pieces. Sofia has already ordered 24 pieces. If R is the number of additional rolls that Sofia orders.
The number of additional rolls that Sofia orders (R) must be greater than or equal to the difference between the number of Sushi needed to be ordered and the number of Sushi that has already being ordered. It is given by the inequality:
R ≥ 100 - 24
R ≥ 76
If each roll contains 12 pieces, the number of rolls needed (n) is given by:
n ≥ R/12
n ≥ 76/12
n ≥ 6.33
n ≥ 7
If each roll cost $8, the money needed to buy the sushi is given as:
Cost ≥ 8(7) ≥ $56
Explain how to find the middle quartile of a box-and-whisker plot.
Step-by-step explanation: The middle quartile or second quartile as I like to call it is the median of the entire data set. Remember that the median is the middle number when the data is written from least to greatest.
Which does NOT represent an integer?
A.39/13
B. -3/5
C. 121 pi
D. 0
Which numbers are a distance of 2 units from 8 on a number line?
++++++++++
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
Select each correct answer.
0-2
06
O 8
0 10
0-6
0-8
Step-by-step explanation:
0 10
0-6
this is the answer. I am sure
The value of numbers are 6 and 10 which are a distance of 2 units from 8 on a number line.
What is mean by Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
We have to given that;
Number line is shown in figure.
And, We have to find the value of numbers which are a distance of 2 units from 8 on a number line.
Now,
We can find the value of numbers as;
⇒ | 8 - 2 | = 6
⇒ | 8 + 2 | = 10
Therefore, The value of numbers are 6 and 10 which are a distance of 2 units from 8 on a number line.
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Use the Remainder Theorem to find the remainder: (16x^4 – 8x^3 – 4x + 1) ÷ (2x + 1)
3
1
-1
5
Answer:
5
Step-by-step explanation:
This illustrates the Remainder Theorem. If a polynomial f(x) is divided by x−a , the remainder is the constant f(a) , and f(x)=q(x)⋅(x−a)+f(a) , where q(x) is a polynomial with degree one less than the degree of f(x) . Synthetic division is a simpler process for dividing a polynomial by a binomial.
Two similar rectangles have a corresponding sides in the ratio 10:3 find the ratio of their areas
Hello!
Answer:
[tex]\huge\boxed{100 : 9}[/tex]
If corresponding side lengths are in the ratio 10 : 3, the ratio of their areas will simply be the square (area is 2-dimensional).
Therefore:
10 : 3 ⇒ (10)² : (9)²
100 : 9 is the ratio of the areas.
I hope this helped you! :)
Ratio of the corresponding sides of rectangle
➾ 10 : 3
Areas will by in the ratio of 10² : 3²
➾ 100 : 9
Explanation :let first rectangles sides be 10 l and 10 b ➾ The area will be 100 × l × b
So second rectangles sides be 3 l and 3b
➾ The area will be 9 × l × b
So the ratio of areas
➾100lb : 9lb
➾ 100 : 9
How many hours are there in ten quarters of an hour?
Answer:
2 1/2 hours
Step-by-step explanation:quarters means 1/4 and there are 4 of them in each hours so if you have 10 quarters of a hour they add up to 2 hours and a half, because 2 hours times 4 equals 8 quarters and then add the other 2 quarters and you get half
it has rained on the 6th of january twice in the last 20 years calculate the probability that it will rain on the 6th january next year
How many of the positive integer factors of 15552 are perfect squares?
There are 12 factors which are perfect squares is 1, 4, 9, 16, 36, 64, 81, 144, 324, 576, 1296, 5184.
What is factors?Factors can be define splitting the value in multipliable values.
Factorization of 15552
= 1 * 4 * 4 * 4* 9 * 9 * 3
Perfect squares can be formed by above factors are
= 1, 4, 9, 16, 36, 64, 81, 144, 324, 576, 1296, 5184.
Thus, there are 12 factors which are perfect squares is 1, 4, 9, 16, 36, 64, 81, 144, 324, 576, 1296, 5184.
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