Step-by-step explanation:
1/7 + ? = 1/3
? = 1/3 - 1/7 = 7/21 - 3/21 = 4/21.
The missing fraction is 4/21.
7x^2 - 16x - 15
please help find the factored form
Step-by-step explanation:
7x^×2-16x-15
14x^-16x-15
During a two-day golf tournament, Fran scored +3 on the first day and -1
on the second day. What was her overall score for the tournament?
Answer:
+ 2
Step-by-step explanation:
+ 3 + (- 1) = + 2
Jared and Mike are racing
to meet at the park which
is 4 miles away from their
house. Jared runs at a rate
of 1 mile every 10 minutes
and Mike runs at a rate of
0.5 miles every 4 minutes.
Who will get there first?
Gareth enjoys swimming. The graph represents Gareth’s distance in feet from the bottom of the pool in terms of the time he swims in minutes. What is the rate of change of Gareth’s distance from the bottom of the pool with respect to time, and what is his initial distance from the bottom? A. rate of change = 0 feet per minute, and distance = 0 foot B. rate of change = 12 feet per minute, and distance = 12 feet C. rate of change = 12 feet per minute, and distance = 0 foot D. rate of change = 0 feet per minute, and distance = 12 feet
Answer:
D.
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
in a school 45% of students are girls if there are 110 boys find the total number of students the number of girls full process
Answer:
Total number of students = 200
The number of girls = 90
Step-by-step explanation:
Girls = 45%
Boy = (100 - 45)% = 55%
Let the total students = x
Number of boys = 110
55% of x = 110
[tex]\frac{55}{100}*x = 110\\\\ x = 110*\frac{100}{55}\\\\ x = 10 * \frac{100}{5}\\\\[/tex]
x = 2 * 100
x = 200 students
Girls = 45% of x
[tex]= \frac{45}{100}*200[/tex]
= 45 * 2
Girls = 90
Doug began sweeping the living room floor at 10:47. It took him 42 minutes to sweep the whole room. What time was it when Doug finished sweeping?
Answer:
11:29.
Step-by-step explanation:
10:47 - 11:00 is 13 minutes, which leaves 29 minutes. So then you add that to 11:00, 11:29.
Answer:11:29
Step-by-step explanation:
If Doug starts at 10:47 and sweeps for 42 minutes
First you add 42 minutes to the 47.
Remember there are 60 minutes in an hour.
So do 47+42=89
Next do 89-60 (because there are 60 minutes in an hour)
You get 29 minutes.
Add one to the 10
That makes 11:29
I need to know this ASAP please! What is 2/3x + 1/3x?
Answer:
x
Step-by-step explanation:
2/3x+1/3x=x
Answer:
1
Step-by-step explanation:
2/3x + 1/3x
2+1/3x
3/3x
=x
one x value is 1
Someone can help me with this?
Answer:
VUT- FEG
QRS-QGF
Step-by-step explanation:
The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?
Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.
So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.
The solution would still clear your concept though.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
c(x) = 18x -10
The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
so
c(x) = 18x - 10
comparing with the slope-intercept form of the line equation
rate of change = 18c(x) or y represents the cost'x' represents the number of ticketsAssuming the total cost i.e. c(x) = $530
In order to determine the value of x, set c(x) = 530
i.e.
530 = 18x -10
switch sides
18x - 10 = 530
add 10 to both sides
18x - 10 + 10 = 530 + 10
18x = 540
Divide 18 to both sides
18x/18 = 540/18
x = 30
Therefore, if you can buy x = 30 tickets if you pay 530 dollars.
R holdA company claims that their new bottle holds 25% more laundry soap. If their original container held 53 fluid ounces of soap, how much does the new containe?
Answer:
66.25 fluid ounce
Step-by-step explanation:
Given that :
Capacity of original container = 53 fluid ounces
Percentage addition of new container = 25%
Capacity of new container :
Capacity of original container * ( 1 + percentage addition)
53 * ( 1 + 0.25)
53 * (1.25)
= 66.25 fluid ounce
A parabola can be drawn given a focus of (4, -3) and a directrix of x=2 Write the equation of the parabola in any form
Answer:
The equation of the parabola ( y +3)² = 4 ( x-3)
Step-by-step explanation:
Step(i):-
we know that the focus of the parabola (h + a , k ) and directrix is x = h - a
Given
focus of the parabola (h + a , k ) = ( 4, -3 )
Equating h + a =4 ..(i)
and k =-3
Given directrix is x = 2
h - a =2 ..(ii)
Adding (i) and (ii) equations , we get
h + a + h-a = 4+2
2 h = 6
h =3
substitute h=3 in equation (i)
h + a =4
3 + a =4
a = 1
The length of Latus rectum 4a = 4(1) =4
Step(ii):-
The vertex ( h, k) = ( 3 , -3) and a = 1>0
Given directrix is x = h - a = 2 so the parabola axis is lie on X- axis and symmetric about x-axis
The equation of the parabola
( y - k )² = 4 a ( x - h )
( y - (-3))²= 4(1) ( x - 3 )
The equation of the parabola ( y +3)² = 4 ( x-3)
If a certain number is increased by 5, one-half of the result is three fifths of the excess of 61 over the number. find the number
Step-by-step explanation:
Let the number be x X×5 =1/2 × 3/5 × 615X = 18 X = 18/5 X =3.3change the recurring decimal into fraction, 3.256
Answer:
407/125
Step-by-step explanation:
3.256=3256/1000
814/500
407/125
Choose which postulate proves the triangles congruent.
(please answer for all of them thanks in advance)
9514 1404 393
Answer:
ASA, SAS, SSS, SAS, ASA
Step-by-step explanation:
In order of attachments, left to right:
1) ASA . . . . the bisected angles are on either end of the common segment. ∆ABC ≅ ∆ADC
__
2) SAS . . . . the vertical angle lies between the sides congruent by virtue of the midpoint being X. ∆RSX ≅ ∆PQX
__
3) SSS . . . . two sides and the shared segment are congruent. ∆KLM ≅ ∆KGM
__
4) SAS . . . . the parts of the bisected angle lie between the congruent sides and the common side. ∆WXZ ≅ ∆YXZ
__
5) ASA . . . . the common segment lies between parts of a bisected angle and ones that are given as congruent. ∆PQR ≅ ∆SQR
What is sixty-nine times sixty-nine?
Answer:
The answer is 4,761
Find the angle BAD (pls)
Answer:
A. 82
hope it helps....
Gas costs $1.64 a gallon. Elaine spent $23.78 at a gas station. How many gallons of gas did she buy? (Tell me how you got the answer)
Answer:
if the cost on gas is 1.64 you can divide 23.78 by 1.64 which is 14.5
Step-by-step explanation:
23.78 divided by 1.64 =14.5
Answer:
14.45
Step-by-step explanation:
A certain sum of money doubles itself in 8 years. How much time will it take to triple itself at the same rate?
[Irrelevant answers will be reported]
Answer:
It will take 12years to triple itself
Step-by-step explanation:
let the sum of money=x
In 8years x becomes 2x
thus
2x-8years
Then 3x-?
Using ratio and proportion,
x=3/2×8years=12years
Gumbo had 492 baseball cards in his collection. First, he divided them evenly among
4 shoe boxes. Then, he divided the cards in each shoe box evenly among 3 card
albums. How many cards were in each card album?
41
164
123
31
Step-by-step explanation:
There are 41 cards were in each card album.
Fatima collected 78 leaves at Zabeel Park for a pressed-leaf collection. If she places and equal number of leaves in each of 3 books, how many leaves will be in each book? (SHOW YOUR WORK/STEPS)
Step-by-step explanation:
78/ 3
= 26
26 leaves will be in each book
hope it helps!
Answer:
26
Step-by-step explanation:
78/3=26
A hiker walks at a speed of 3 2/5 km per hour. How many km will the hiker walk in 40 min?
Answer:
2 4/15 km
Step-by-step explanation:
We know from the above question that:
A hiker walks at a speed of 3 2/5 km per hour.
Step 1
Convert 40 minutes to hour
60 minutes = 1 hour
40 minutes = x
Cross Multiply
60x = 40
x = 40/60
x = 2/3hr
Step 2
How many km will the hiker walk in 40 min?
The above question can be calculated as:
1 hour = 3 2/5km
2/3 hour = x km
Cross Multiply
1 × x km = 2/3 × 3 2/5 km
x km = 2/3 × 17/5 km
x km = 34/15 km
x km = 2 4/15 km
Hence the hiker would walk 2 4/15 km in 4 minutes
Multiply. Write your answer as a fraction in simplest form.
11 x ( - ) = 0
Answer:
??? is this all of the question?
Answer:
- 3/5Step-by-step explanation:
Simplify fractions and multiply
1 1/2 × (-6/15) = 3/2 × (- 2/5) = - 3/5
HURRY PLEASE
Based the equation, what is
the slope
y= 3x+1
Answer:
3
Step-by-step explanation:
y=mx + b, slope = m.
Micheal buys a new jacket for 90 dollars. Sales tax is 8%. How much does Micheal actually have to pay?
Answer:
$97.20
Step-by-step explanation:
you make the 8% into a decimal by moving the decimal to places to the left.
8%=0.08, Then you multiply that by the whole number of 90 dollars.
0.08 x 90 = $97.20
Total cost of the jacket with sales tax is given by the equation A = $ 97.20
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total cost of the jacket with the sales tax be A
Now , the equation will be
The cost of the jacket = $ 90
The sales tax percentage = 8 %
So , the sales tax amount = ( 8 / 100 ) x cost of the jacket
Substituting the values in the equation , we get
The sales tax amount = 0.08 x 90
The sales tax amount = $ 7.20
Now , the total cost of the jacket with the sales tax = cost of the jacket + sales tax amount
Substituting the values in the equation , we get
The total cost of the jacket with the sales tax A = 90 + 7.20
The total cost of the jacket with the sales tax A = $ 97.20
Hence , the total cost is $ 97.20
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ6
Evaluate 6x^2+18x-15 at x=3. A-75
B-93
C-133
D-363
Step-by-step explanation:
When x = 3,
6x² + 18x - 15
= 6(3²) + 18(3) - 15 = 54 + 54 - 15 = 93. (B)
Help please!!!!ASAP! Ill give brainliest! And 50pts!
What is the value of q?
PLEASE HELP!!!
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 28 feet?
Answer:
y=2x+10
Step-by-step explanation:
y is the height x is the number of years
It takes 9 years for it to reach 28ft
The equation y=5x represents a proportional relationship. What is the constant of proportionality.
Answer:
5
Step-by-step explanation:
it is the constant slope 5 over 1
Which lines are parallel? Check all that apply
A: B||F
B: B||D
C: C||E
D: C||D
E: D||F
F: E||F
Answer:
Options A, C and D
Step-by-step explanation:
Option A
Angle p = 180° - 89.5° = 90.5° [Linear pair of angles]
If b║f and line a is a transversal line,
m∠p = 90.5° [Alternate exterior angles]
True
Option B
If B║D and line a is a transversal,
m∠q = 89.5° [vertically opposite angles]
∠q + 89.5° = 89.5° + 89.5° = 179°
But angles q and angle with measure 89.5° are the consecutive interior angles and their sum should be 180°.
So the given statement is False.
Option C
c║e
Since, m∠r = 91.5° [Vertically opposite angle]
And m∠r + 89.5° = 180° [Consecutive interior angles]
True.
Option D
c║d
Since, ∠r and ∠q are consecutive interior angles,
m∠r + m∠q = 180°
91.5° + 89.5° = 180°
True
Option E.
d║f
m∠s = 90.5°[Vertically opposite angles]
Since, ∠s and angle with measure 89.5° are the alternate interior angles,
So measure of angle s should be 89.5°.
Therefore, d║f is False.
Option F.
If e║f, angles with measures 89.5° and 90.5° should be equal.
But measures of both are different.
Therefore, e║f is False.
Options A, C and D are the correct options.
A dog needs 4/3 liters of water for 2/5 how many liters of water does the dog need for an entire day
Complete question :
A dog needs 4/3 liters of water for 2/5 of a day. How many liters of water does the dog need for an entire day?
Answer:
10/3 litres
Step-by-step explanation:
Given that:
Amount of water needed for 2/5 of a day = 4/3 litres ;
An entire day = 1/ 1 of a day
Hence, If;
2/5 = 4/3 litres of water
1/1 = x
Cross multiply ;
(2/5)x = 4/3
2x /5 = 4/ 3
2x * 3 = 5 * 4
6x = 20
x = 20 /6
x = 10 /3 litres