Use the number line to represent. -4 1/2 + 3 1/4. what is the sum?
Answers
Answer:
[tex]\displaystyle A+B=-\frac{5}{4}[/tex]
Step-by-step explanation:
The Number Line
Let's call
[tex]\displaystyle A=-4\frac{1}{2}[/tex]
[tex]\displaystyle B=+3\frac{1}{4}[/tex]
Both numbers are given as mixed fractions. Let's convert them to improper fractions:
[tex]\displaystyle A=-4\frac{1}{2}=-(4+\frac{1}{2})=-\frac{8+1}{2}=-\frac{9}{2}[/tex]
[tex]\displaystyle B=3\frac{1}{4}=3+\frac{1}{4}=\frac{12+1}{4}=\frac{13}{4}[/tex]
The decimal values are A = -9/2=-4.5, B=13/4 = 3.25
Now represent the points in the number line. See the image below
Finally, calculate their sum:
[tex]\displaystyle A+B=-\frac{9}{2}+\frac{13}{4}[/tex]
[tex]\displaystyle A+B=-\frac{18}{4}+\frac{13}{4}=\frac{-18+13}{4}[/tex]
[tex]\boxed{\displaystyle A+B=-\frac{5}{4}}[/tex]
Related Questions
The time, t, in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this equation. t=√2d/a
Answers
Answer:
720
Step-by-step explanation:
Plato.
t=√2d/a
12=√2d/10
12²=(√2d/10)²
144=2d/10
2d=(144)(10)
d=1440/2
=720
The initial Velocity of that object would be zero.
What is initial velocity?Initial Velocity, denoted as u, is the velocity at time period t = 0. It is the speed at which motion first occurs. When gravity first exerts a force on an object, its initial velocity defines how quickly the object moves.
They are three initial velocity formulas:
(1) If time, acceleration, and final velocity are provided, the initial velocity is articulated as u = v – at
(2) If final velocity, acceleration, and distance are provided we make use of u² = v² – 2 as
(3) If distance, acceleration, and time are provided, the initial velocity is
s = ut + 1/2at²
Where,
Initial velocity = u,
Final Velocity = v,
time taken = t,
distance travelled or displacement = s,
acceleration = a
From the third formula of velocity
s = ut + 1/2at²
If u = 0
then s = 1/2at²
=> at² = 2s
=> t² = 2s/a
=>t = [tex]\sqrt{2\frac{s}{a} }[/tex]
Which is the same as the given equation
therefore, That object's initial velocity would be zero.
Learn more about initial velocity here:
https://brainly.com/question/20678545
#SPJ2
In a class of 60 students 8 will be left handed. If a class includes 20 lefties, estimate how many students are in the class.
Answers
Answer:
150
Step-by-step explanation:
60/8=x/20. Solve for x. So cross multiply 20•60=1200 divided by 8=150
hi i am in 3rd grade i need help.
if the teacher has 20 apples and eats 5 how many apples does she have left please show work my dog will not help me complete my work sad face face face face face sad.
Answers
You eat 5
What is 20-5?
20-5= 15
15 is your answer sweetie
Answer:
15
Step-by-step explanation:
20-5=15
Helppppp
Find the equation of the line parallel to y = -1/2 - 4 and goes through the point (-2,-5)
Answers
Answer:
The equation of the line is y = - 1/2 x - 6
Step-by-step explanation:
The equations of parallel lines have the same slopes and different y-intercepts
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-intercept (value y at x = 0)To find b substitute x and y in the equation by the coordinates of a point on the line∵ The given equation is y = -1/2 x - 4
→ By comparing it by the form of the equation above
∴ m = -1/2
∵ Parallel lines have the same slope
∴ The slope of the line = -1/2
→ Substitute it in the form of the equation above
∴ y = - 1/2 x + b
∵ The line passes through the point (-2, -5)
→ To find b substitute x by -2 and y by -5
∴ -5 = -1/2 (-2) + b
∴ -5 = 1 + b
→ Subtract 1 from both sides
∴ -5 - 1 = 1 - 1 + b
∴ -6 = b
→ Substitute the value of b in the equation above
∴ y = - 1/2 x + (-6)
∴ y = - 1/2 x - 6
The equation of the line is y = - 1/2 x - 6
-3 times b is smaller than -33
Answers
Answer:
l think so because -3 if you add a 0 (-30) its smaller than -33
Solve for x:
4(1-x) + 2x = -3(x+1)
A. -7
B.-3/4
C.-1.4
D.1.4
Pls help
Answers
Answer: A
Step-by-step explanation:
4( 1 - x) + 2x = -3(x + 1)
4 - 4x + 2x = -3x - 3 Distribute numbers to paranthesis
4 - 2x = -3x - 3 Add like terms
4 + x = -3 Add 3x to both sides
x = -7 subtract 4 to both sides
Answer:
hi
Step-by-step explanation:
thanks for my points back when u went to my post and didnt answer and said free points so ty for the oints back i hate people like u ur so rude bruh
What is 2000 + 2000 - 2000 X 2000 divided by 2000
Answers
Answer: 1
Step-by-step explanation:
2000 + (2000-2000)(2000) / 2000
2000 + (0)(2000) / 2000
2000 + 0 / 2000
2000 / 2000
1
Why: PEMDAS
A pair of pants was 40% off the original price. The sale resulted in a $36 discount. What was the original price before the sale?
Answers
Answer:
$90.00
Step-by-step explanation:
40% of What is 36?
40/4 = 10 (10%)
36/4 = 9 (9 is 10% of the answer we are looking for)
Multiply both answers (9 and 10) by each other.
You get 90
What is the value of the function y = 2x + 3 whenx=−1?
5
2
1
−5
Answers
Answer:
1
Step-by-step explanation:
You plug in -1 into x so the problem is y=2(-1)+3 and you get y=1
Answer:
THE ANSWER IS 1 TRUSt me
Step-by-step explanation:
10) Cynthia is shopping for a new camera. It costs $549.95. If she has a 15% off coupon and $500 saved up, how much will the camera cost if the sales tax is 8.25%? Will she have enough money to pay for her camera?
Percent:
Part/
Whole/
Percent:
Part/
Whole/
Answers
Answer:
$506.03
Step-by-step explanation:
15% off of $549.95 = $467.46
8.25 tax on $467.46 = $506.03
The ratio of the measures of the sides of a triangle is 4:9:8. If the perimeter of the triangle is 147 feet, find the measure of the shortest side.
Answers
Answer:
28
Step-by-step explanation:
4x + 9x + 8x = 147
21x = 147
x = 147/21
x = 7
========
The shortest side will be 4x
4*7 = 28
Fraser scores 43% in a spelling test. What percentage did he get wrong?
Answers
Answer: 57%
100 - 43 = 57
Answer is 57
Answer:
he got 57% wrong
Step-by-step explanation:
all you gotta do is subtract 43 from 100 and it will give u the percentage
what is the quotient of 3 divided by the sum of 5 and 1
Answers
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5+1} =\frac{3}{6} =\frac{1}{2}[/tex]
A museum currently has 84 members. How many more members does the museum need to reach its goal of having 100 members?
Answers
Answer:
16 members
Step-by-step explanation:
100 - 84 = 16 members
Answer:
16 more mombers
Step-by-step explanation:
if you take 100 and you subtract 84 then you will get 16. it can go the other way to if you add 16 to 84 then you will get 100 its basic math
After a college football team once again lost a game to their archrival, the alumni association conducted a survey to see if alumni were in favor of firing the coach. a simple random sample of 100 alumni from the population of all living alumni was taken. 64 of the alumni in the sample were in favor of firing the coach. let p represent the proportion of all living alumni who favored firing the coach. suppose the alumni association wished to see if the majority of alumni are in favor of firing the coach. denote p true as the true(population) proportion of all living alumni who favor firing the coach.
A) what hypotheses should one test if one suspects that p true is less than 70%?
a) H0: ptrue<0.7; Ha:ptrue=0.7
b) H0: ptrue=0.7; Ha:ptrue<0.7
c) H0: ptrue\neq0.7; Ha:ptrue>0.7
d) H0: ptrue=0.7; Ha:ptrue>0.7
e) H0: ptrue\neq0.7; H a:ptrue=0.7
B) What is the P-value, P associated with the test statistic for the test in part A)?
a) 0.0476
b) 0.1902
c) 0.0951
d) 0.64
e) 0.06
C) Is it reasonable to conclude that Ptrue is less than 70%? Use a significant level of 10%.
a) YES
b) NO
Answers
Answer:
A)
a) H0: ptrue < 0.7; Ha: ptrue = 0.7
B)
d) 0.64
C)
b) No
Step-by-step explanation:
Hypothesis is a technique which is used to test the event against an alternative hypothesis. The null hypothesis is set as a basis which is tested against an alternative hypothesis to make a conclusion. This null hypothesis is analysed against a probability using significance level and then a conclusion is made to accept or reject the null hypothesis.
Consider the following equation,
bh + hr = 25
Solve the equation for h
Answers
Answer:
Step-by-step explanation:
Laisha's Internet Services designs websites and recently began a weekly advertising campaign
Laisha noticed an increase in her customers over a period of five consecutive weeks. Based on
the pattern shown in the graph, make a conjecture about the number of customers Laisha will
have in the seventh week.
Laisha will have 7 customers
Laisha will have 8 customers.
Laisha will have 9 customers
Laisha will have 10 customers
Answers
Answer:
she will have 8
Step-by-step explanation: because it passes through the origin
In the 7th week, Laisha will have 8 customers. Option B is correct.
Given that,
Laisha noticed an increase in her customers over a period of five consecutive weeks. Based on the pattern shown in the graph, make a conjecture about the number of customers Laisha will have in the seventh week is to be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
The slope of the function m = 1
y-intercept = 1
The equation that represents the condition,
y = x + 1
Where y = number of customers and x = number of weeks
Now for x = 7
y = 7 + 1
y = 8
Thus, in the 7th week, Laisha will have 8 customers. Option B is correct.
Learn more about function here:
brainly.com/question/21145944
#SPJ2
-(7/10)+2/8+1/10-(4/8)
Answers
Answer: - 17/20
or in decimal form -0.85
hope this helps
Step-by-step explanation:
Is the function f(x) = 10 linear or nonlinear?
Answers
Linear function needs X for exponent 1
This is constant function.
Solve |2s−7| ≥ −1. Please help
Answers
Answer:
S = All real numbers / (∞,∞)
Step-by-step explanation:
Absolute values are ALWAYS greater or equal to zero. Therefore, you could plug any number into S, and it would still be greater than 1.
One container of fertilizer covers 900 square feet. A property has a rectangular backyard that is 30 feet long and 20
feet wide. The front yard is triangular with a base of 24 feet and a height of 12 feet. What percentage of the container
will be used on the property? Round to the nearest percentage.
Answers
Answer:
82.67% of the fertilizer will be used on the property.
Step-by-step explanation:
Area of Plane Figures
The backyard described in the problem has two parts: One with a rectangular shape of 30 feet by 20 feet. The other with a triangular shape with a base of 24 feet and a height of 12 feet.
The area of a rectangle is calculated by:
[tex]A_r=L*W[/tex]
And the area of a triangle is:
[tex]\displaystyle A_t=\frac{B*H}{2}[/tex]
All the backyard will be covered by fertilizer coming from a container with a capacity of 900 square feet.
The total area of the backyard is the sum of the area of the rectangle Ar and the area of the triangle At as follows:
[tex]A_r=30*20=600\ ft^2[/tex]
[tex]\displaystyle A_t=\frac{24*12}{2}=144\ ft^2[/tex]
The total area of the backyard is:
[tex]A=600\ ft^2+144\ ft^2=744\ ft^2[/tex]
To find the percentage of the container, we calculate:
[tex]\displaystyle \frac{744}{900}*100\%=82.67\%[/tex]
82.67% of the fertilizer will be used on the property.
HIVING BRAINLIEST
What is the area of the
rectangle shown below?
3х2 – 4х +6
9 – x
ОООО
3х3 + 8x — 36
3х3 – 4х2 + 6x
33 22х2 + 30 – 36
3х3 + 142 - 18х +36
Answers
Answer:
A = 3x³ - 22x² + 30x - 36
Step-by-step explanation:
Area of a Rectangle: A = lw
Step 1: Define
l = 3x² - 4x + 6
w = x - 6
Step 2: Substitute and Evaluate
A = (3x² - 4x + 6)(x - 6)
A = 3x³ - 4x² + 6x - 18x² + 24x - 36
A = 3x³ - 22x² + 30x - 36
Answer:
The expression is not factorable with rational numbers.3x2-4x+6
Step-by-step explanation:
So its the 2nd one 3х3 – 4х2 + 6x
Hope this helps. ;P
The side length of a square garden is 12 feet. Find the area of the garden in square feet.
Answers
Answer:
A = 144 ft^2
Step-by-step explanation:
The area of a square is found by
A = s^2 where s is the side length
A = (12 ft)^2
A = 144 ft^2
Answer:
144 sq ft
Step-by-step explanation:
In order to find the area you have to multiply the length and the width
12 x 12
=
144 sq ft
Brady wants to purchase a skateboard that costs $245. So far, he has saved $98 and plans to save
an additional $25 per week.
What is the minimum number of weeks that Brady will be able to purchase the skateboard? Justify
your answer.
Answers
Answer:
five almost 6 weeks
Step-by-step explanation:
brady is saving up to 245 but he already has 98 which means he needs to save 147 more dollars. Brady is making 25 a week so if you divide 147 by 25 you get 5.88 so in 6 weeks he can have a new skateboard with a couple extra doll hairs.
Find the x intercept of 3x-6y=24
Answers
Use the given information to find the measure.
Answers
Answer:
AOC = 104° (total from A to C)
BOC = 60°
AOB = 104 - 60 = 44°
[tex]ac = 104 = ab + bc \\ 104 = 7x + 30 + 9x + 42 \\ 104 = 16x + 72 \\ 16x = 32 \\ x = 2[/tex]
[tex]bc = 9x + 42 \\ = 9(2) + 42 = 60[/tex]
Solve algebraically for all the values of x -2x^5+14x^4-2x^3+14x^2=0
Answers
Answer:
0, 7, ± iStep-by-step explanation:
Solving for x
- 2x^5 + 14x^4 - 2x^3 + 14x^2=0x^5 - 7x^4 + x^3 - 7x^2 = 0x^2 ( x^3 - 7x^2 + x - 7) = 0x^2( x^2(x - 7) + (x - 7)) = 0x^2(x^2 + 1)(x - 7) = 0x^2 = 0 ⇒ x = 0x^2 + 1 = 0 ⇒ x^2 = -1 ⇒ x = ± ix - 7 = 0 ⇒ x = 7The solutions to the original equation -2x³ + 14x²- 2x³ + 14x² = 0 are x = 0, -0.391, 0.099, 7.293
To solve the equation algebraically, factor out an "x^2" term from each term:
x²(-2x³ + 14x²- 2x + 14) = 0
Now, we have two factors:
x² = 0
-2x³ + 14x² - 2x + 14 = 0
First, let's solve the first factor, which is a simple quadratic equation:
x² = 0
x = 0
Now, let's solve the second factor by factoring out a common factor of 2:
2(-x³ + 7x² - x + 7) = 0
Now,use the rational root theorem or synthetic division to find the roots of the cubic equation -x³ + 7x² - x + 7 = 0. However, in this case, the equation does not have any rational roots. Therefore, we need to use numerical methods or graphing techniques to find the approximate solutions.
Using numerical methods or graphing, we find that the approximate solutions for the equation -x³ + 7x² - x + 7 = 0 are:
x ≈ -0.391
x ≈ 0.099
x ≈ 7.293
To know more about equation here
https://brainly.com/question/10724260
#SPJ6
What’s the range of the solution
Answers
Answer:
C
Step-by-step explanation:
Write the sentence as an equation.
268 is the same as the product of t and 196
Answers
Convert each measure to the equivalent metric unit.
8 cm = mm
7 km = m
18 g = kg
43 kg = g
234 L = mL
1 346 mL = L
0.81 km = cm
0.05 dm = dam
1.32 cg = kg
3.7 mcg = mg
Answers
Answer..
Q 1, 80 mm
2, 7000
3,