Answer:
11/12 is Z
Step-by-step explanation:
Do you need the explanation?
The required value of z is 11/12 in the given equation.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The equation is given in the question as:
1 3/4 + z = 2 2/3
We have to determine the value of z in the given equation,
As per the question, we have
⇒ 1 3/4 + z = 2 2/3
Convert the mixed numbers into fractions,
⇒ 7/4 + z = 8/3
Rearrange the terms in the above equation,
⇒ z = 8/3 - 7/4
Take LCM in the term of fractions,
⇒ z = (32 - 21)/12
⇒ z = 11/12
Therefore, the required value of z is 11/12 in the given equation.
Learn more about the fractions here:
brainly.com/question/10354322
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a sprinter increases the speed from 0 meters per second to 9 meters per second in 2 seconds. what is the acceleration
Answer:
The acceleration is
[tex]4.5 {ms}^{ - 2} [/tex]
Step-by-step explanation:
Use the equation of motion,
[tex]v = u + at[/tex]
where u=0m/s is the initial speed, v=9m/s is the final speed and t=2 seconds is the time.
We substitute the values into the equation and solve for the acceleration, a
[tex]9 = 0 + a(2)[/tex]
This means that;
[tex]9 = 2a[/tex]
Divide both sides by 2 to get:
[tex]a = \frac{9}{2} [/tex]
[tex]a = 4.5 {ms}^{ - 2} [/tex]
a rectangle has sides that measure 7 by 13 feet. If the sides are halved what is the new area?
Answer:
45.4
Step-by-step explanation:
Answer:
22.75 square feet
Step-by-step explanation:
If the length and width are halved, then:
7 ÷ 2 = 3.5
13 ÷ 2 = 6.5
A = L · W
3.5 · 6.5 = 22.75 square feet
~Hope this helps!~
Consider the two functions described below. Function 1 describes the cost, y, to park in a parking lot for x hours. There is a flat fee of $7.00 and $1.00 charge per hour. Function 2 is represented in the graph below. It shows the cost, y, to park in a parking garage, for x hours. Which statement correctly explains whether the parking lot or parking garage charges a higher rate per hour to park?
A. The parking lot charges a higher rate per hour because when you compare the rates, 7 4.
B. The parking garage charges a higher rate per hour because when you compare the rates, 2 1.
C. The parking lot charges a higher rate per hour because when you compare the rates, 7 2.
D. The parking garage charges a higher rate per hour because when you compare the rates, 4 1.
Statement B explains correctly that the parking garage charges a higher rate per hour than the parking lot. Statements B and D are the same.
Step-by-step explanation:
Step 1:
For the parking lot, there is a flat fee of $7.00 and then a charge of $1.00 every hour.
So if a vehicle was parked for 1 hour charges are 7 + 1 (1) = $8,
If parked for two hours charges are 7 + 1 (2) = $9.
Step 2;
To understand the pricing of the parking garage, we must plot the points of the graph.
The points on the graph are (0, 4), (1, 6), (2, 8), (3, 10), (4, 12), (5, 14)...
So for the parking garage, there is a flat fee of $4 and then a charge of $2.00 every hour.
So if a vehicle was parked for 1 hour charges are 4 + 2 (1) = $6,
If parked for two hours charges are 4 + 2 (2) = $8.
Step 3:
Comparing both the parking lot and the parking garage, we get that the flat fee for the parking lot is higher while the parking charges for an hour are higher for the parking garage which is statement B.
Statement B and D are the same.
Answer:
B
Step-by-step explanation:
What is the length and width of the rectangle if the area is given by trinomial r squared - 2r - 15. Use factoring
Answer:
(r+3)(r-5)
Step-by-step explanation:
r^2-2r-15
(r+3)(r-5)
+3-5=-2
+3*-5=-15
Answer:
The length is r + 3 and the width r - 5..
Step-by-step explanation:
r^2 - 2r - 15
= (r - 5)(r + 3)
The length is r + 3 and the width r - 5
Complete the statement. Round to the nearest hundredth if necessary. 13 km = _ mi?
Answer: 8.08
Step-by-step explanation:
Simply know that 1 kilometer is about 0.62 miles, then multiply thay by 8.
how do you find side a to a right triangle using pythagorean theorem?
Answer:
a^2 = c^2 - b^2
Step-by-step explanation:
With the pythagorean therom you have a^2 + b^2 = c^2
Therefore a^2 = c^2 - b^2 you get this by subtracting b^2 from both sides
Once you have all the numbers you can just get the square root of them and youll have what a is
On the number line, a bug A is moving in the positive direction from the point 0, and a bug Bis moving in the negative direction from the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and three seconds later A has reached 18 and B has reached –15.
If x is the point reached by A after t seconds, and y is the point reached by Bafter t seconds, express x and y in terms of t.
Answer:
[tex]x=st[/tex]
[tex]y=-5t[/tex]
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
so
The distance is equal to multiply the speed by the time
Let
s ----> the speed in units per second
d ---> the distance in units
t ---> is the time in seconds
BUG A
we have
[tex]d=18\ units[/tex]
[tex]t=3\ sec[/tex]
The speed is equal to
[tex]s=\frac{d}{t}[/tex]
substitute
[tex]s=\frac{18}{3}=6\ units/sec[/tex]
If x is the point reached by A after t seconds
then
Multiply the speed by the time
[tex]x=st[/tex]
[tex]x=6t[/tex]
BUG B
we have
[tex]d=-15\ units[/tex]
[tex]t=3\ sec[/tex]
The speed is equal to
[tex]s=\frac{d}{t}[/tex]
substitute
[tex]s=\frac{15}{3}=5\ units/sec[/tex]
If y is the point reached by B after t seconds
then
Multiply the speed by the time
[tex]y=st[/tex]
[tex]y=-5t[/tex] ----> is negative because B is moving in the negative direction
Answer:
x = 6t
y = 5t
Step-by-step explanation:
We know the distance formula:
D = RT
Where
D is distance
R is speed
T is time
Bug A went 18 units after 3 seconds, so the speed is:
18 = R(3)
R = 18/3
R = 6 unit/sec
Bug B went 15 units in 3 seconds, so the speed is:
15 = R(3)
R = 15/3
R = 5 units/sec
x is reached by A after 3 seconds, so
x = 6t
y is reached by B after 3 seconds, so
y = 5t
PLEASE ANSWER
Which equation represents the following graph?
A. y = 2x + 3
B. y = 3x + 2
C. y = -2x + 3
D. y = -3x + 2
Answer:
A: y = 2x + 3
Step-by-step explanation:
y intercept: 3
Slope is positive
Only option A satisfies both of the above
icated (Q#1-4).
2. Solve by substitution; x+3y + 4)
3x - 5y = 8
3 (3x+4)
aytla
Answer:
See explanation
Step-by-step explanation:
Assuming your system is:
[tex]x + 3y = 4[/tex]
[tex]3x - 5y = 8[/tex]
Then make x the subject in the first equation to get:
[tex]x = 4 - 3y[/tex]
Put this equation into the second equation to get:
[tex]3(4 - 3y) - 5y = 8[/tex]
[tex]12 - 9y - 5y = 8[/tex]
[tex] - 9y - 5y = 8 - 12[/tex]
[tex] -14y = - 4[/tex]
[tex]y = \frac{ - 4}{ - 14} = \frac{2}{7} [/tex]
This means that:
[tex]x = 4 - 3 \times \frac{2}{7} [/tex]
[tex]x = 4 - \frac{6}{7} = \frac{22}{7} [/tex]
Evaluate 1/-5ab if a=3/7 and b=5/8 write in simplest form
Answer:
-56/75
Step-by-step explanation:
1/-5ab = 1 ÷ -5ab
we substitute the value of a = 3/7 and b = 5/8 into 1 / -5ab
we have
1/ -5 × 3/7 × 5/8 = 1/ -75/56
this can be written as
1 × 56/-75 = -56/75
Which of the following statements is true? The value π is a rational number. The number 0 is a natural number. The number is an integer. The number -5 is a real number.
Answer:
the number -5 is a real number
Step-by-step explanation:
real numbers are basically all numbers.... if you havent met complex numbers yet..
hopefuly this helped
:)
Answer:
the number -5 is a real number
Step-by-step explanation:
all the others are wrong.
Can You Solve This?
6 = 2(1+2) =
Answer: 6 = 2(1+2), this is true.
Step-by-step explanation:
To solve this, 6 = 2(1 +2) =
This question is to proove that 2(1 +2) = 6
First we open the bracket:
(2 × 1) + (2 × 2)
Multiply 2 by 1 = 2
Multiply 2 by 2 = 4
2 + 4 = 6
I hope this helps.
Answer: hope this helps
6=2x3
6=6
29,22,22,17,33,32,27 (FIND THE MODE)
Answer:
22
Step-by-step explanation:
22 shows up twice and the rest of the numbers show up once.
Answer:22
Step-by-step explanation:
It appears most often.
Which formula is best used to prove that a figure has congruent sides?
a) Slope formula
b)Area formula
c) Midpoint formula
d) Distance formula
Answer:
D
Step-by-step explanation:
Congruent sides mean that they have "EQUAL" lengths.
So, to prove to sides are congruent means that their lengths are equal.
Slope gives the slope of a line. So this can't be it.
Area gives the area of figure. Nothing to do with congruency of 2 lines.
Midpoint formula gives the coordinates of the midpoint. Nothing here.
Distance formula gives the length of sides. So, this is the one we can use to prove that a figure has congruent sides. We can place the figure in coordinate system and find the length of 2 respective sides using "distance formula"
Correct answer is D
Fifteen less than twice a number x is y
Step-by-step explanation:
The Mathematical transformation of the given statement would be:
[tex]2x - 15 = y[/tex]
4. Find the correct table for the given rule:
y=x+2
Answer:
Table B is the correct answer.
Step-by-step explanation:
Pamela knit a total of 28 centimeters of scarf over 2 nights. After 3 nights of knitting, how many centimeters of scarf will Pamela have knit in total? Assume the relationship is directly proportional.
Answer:
42 centimetres
Step-by-step explanation:
First, u have how many centimetres knitted over 1 night:
28/2=14So 1 night=14 cm28cm+14cm=42cm=3 nights11/20+ c=3/4 what is the answer
Answer:
Step-by-step explanation:
Given that,
11/20 + c = 3/4
Subtract 11/20 from both sides of the equation to eliminate 11/20
11/20-11/20+c=3/4-11/20
c= (15-11)/20
c=4/20
c=1/5
Solve the equations. Show the solution sets on a number line. Check your answers. c 9k+3 =−4
Answer:
k = -7/9
Step-by-step explanation:
9k + 3 = -4
9k = -7
k = -7/9
On the number line just make a closed circle at -7/9. No line would be drawn, just the dot
-7/9 would be between 0 and -1, closer to -1
Answer:
k = -7/9
Step-by-step explanation:
If the equation is, 9k + 3 = -4, then;
9k =-4-3,
9k =-7,
k=-7/9
and on a number line just show a point with value -7/9, there is no inequality here
A manufacturer uses 3/4 yard of fabric to make each skirt. How many yards of fabric will the manufacturer use to make 4 skirts ? 7 skirts ? 9 skirts
Answer:
3 yards,5.25 yard,6.75 yards
Step-by-step explanation:
Given,
Each skirt required 3/4 yards fabric
Solution,
1 skirt required fabric =3/4 yards
4 skirts required fabric=4×3/4 yards=3 yards
7 skirts required fabric =7×3/4 yards=21/4 yards=5.25 yards
9 skirts required fabric=9×3/4 yards=27/4 yards=6.75 yards
To find out how many yards of fabric will be used, multiply the number of skirts by the amount of fabric needed for each skirt. For 4 skirts, 3 yards of fabric will be used. For 7 skirts, 5.25 yards will be used. For 9 skirts, 6.75 yards will be used.
Explanation:To find out how many yards of fabric will be used to make a certain number of skirts, we can multiply the number of skirts by the amount of fabric needed for each skirt. In this case, 3/4 yard of fabric is needed for each skirt.
So, to find out how many yards of fabric will be used to make 4 skirts, we can multiply 4 by 3/4:
4 x 3/4 = 12/4 = 3 yards.
To find out how many yards of fabric will be used to make 7 skirts, we can multiply 7 by 3/4:
7 x 3/4 = 21/4 = 5.25 yards.
To find out how many yards of fabric will be used to make 9 skirts, we can multiply 9 by 3/4:
9 x 3/4 = 27/4 = 6.75 yards.
The local gasoline distributor just built a new storage tank. For safety reasons they need to enclose the tank within a circular fence. The radius of the tank is 6 feet and the walkway between the tank and the fence is 4 feet. How much fencing will they need to order to fence off the tank? Round to the nearest tenth>
Answer:
62.8 feet
Step-by-step explanation:
Radius of the fencing is:
6+4 = 10 feet
Circumference = 2×pi×r
= 2×pi×10
= 20pi
= 62.83185307 feet
What is the decimal equivalent of an 11% increase
Answer:
0.11
Step-by-step explanation:
You would convert the percentage to a fraction. Since the % symbol means 'out of 100', you would put 11 over 100: 11/100.
Then you would convert the fraction to a decimal: 0.11.
An easier way could also be to take the percentage and move it two decimal places to the right.
Ex: 43% moved two decimal places to the right would be 0.43.
I hope this helps!
Answer:
0.11
Step-by-step explanation:
What is k over 3.5+7.4=8
Answer:
k=2.1
Step-by-step explanation:
k/3.5 + 7.4 = 8
Subtract 7.4 from each side
k/3.5 + 7.4 -7.4 = 8-7.4
k/3.5 = .6
Multiply each side by 3.5
k/3.5 *3.5 = .6 *3.5
k = 2.1
Please help!! Will give Brainliest
Answer:
86 square inches
86 in^2
Step-by-step explanation:
Base: 3 × 10 = 30
Rectangle Sides: 2.5 × 10 = 25 (×2 = 50)
Triangle Sides: 2 × 3 = 6 (÷2 ×2 = 6)
Add: 30 + 50 + 6 = 86
What is the solution to
(2.4*10^11)/(1.2*10^9) using scientific notation
:
xfjgrtjsrjdtyj
erhergqerg3ergtaegqe
Find the values of the variables and the measures of the angles
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
Step 1:
The sum of all the angles in any triangle is equal to 180°.
We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.
So the angles of the triangle are [tex]3x,[/tex] [tex]4x-1,[/tex] and [tex]90.[/tex]
Step 2:
Now, we substitute all the angles to a sum of 180 to determine the value of x.
[tex]3x + 4x - 1 + 90 = 180.[/tex]
[tex]7x = 91, x = \frac{91}{7} = 13.[/tex]
So x = 13°. The angles are
[tex]3x = 3 (13) = 39, 4x-1 = 4(13) - 1 = 51.[/tex]
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
3x + 4x - 1 = 90⁰
7x = 91
x = 13
Angles are = 39 , 51⁰
Which answer is right?
can someone please solve the problem is in the picture
Answer:
Y-intercept=6
Multiplier =3
Equation y=3x+6
Step-by-step explanation:
We can find the slope of the line by
Slope=m= (y2-y1)/(x2-x1)
m=(6-3)/(0-(-1))=3
And using point slope formula of equation of straight line
Y-Y1=m(X-X1)
Taking any point on line
Y-3=3(X-(-1))
Y-3=3X+3
y=3x+6
y=3(x+2)
What is the 12th term of the geometric sequence
-4, -12, -36
Answer:
-708,588
Step-by-step explanation:
If you continue the sequence by multiplying each term by 3, you will eventually get -708,588 as the 12th term.
Find the quotient 130 ÷ –13.
A. –12
B. –9
C. –10
D. –5
Answer:
C)-10
Step-by-step explanation:
negative divided by negative is positive.
-130 / -13 =10
Answer:
Option C, -10
Step-by-step explanation:
130 / -13
13 goes into 130 ten times
-10
Answer: Option C, -10