Given that,
Each person in the family got 1/4 of the cake.
Cake is cut in 8 slices.
To find,
How much of the cake did the person get?
Solution,
To find the cake the person get can be calculated by finding 1/4th of 8 slices. Let the result is x.
x = (1/4) 8
= 2 slices
Hence, the person will get 2 slices.
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)
8.35x - 1.5 = 71.98
(a) 8.6
(b) 8.8
(c) 9
(d) 10.3
El -1,5 qlero pasaría al otro lado positivo
8.35x = 71.98 + 1.5 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Ahora, se suma 71.98 + 1.5 = 73,48
8.35x = 73,48 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -El 8.35 qlero que está multiplicando, pasa al otro lado pero dividiendo
x = 73,48 ÷ 8.35 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Dividimos
x = 8,8 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - (b) 8,8 es la opción correctacan someone assist me in this question right here?
Brian drew oblique segment AB on a coordinate grid and translated it 4 units left from A' B' which statements is true?
Answer:
b
Step-by-step explanation:
did it in class
I need help with Geometry
Answer:
no because thats an obtuse angle and there has to be an acute triangle to from a triangle so no
Step-by-step explanation:
Answer:
No, the values need to add to 360
Step-by-step explanation:
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
What is sixty-nine times sixty-nine?
Answer:
The answer is 4,761
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
Are 1/2 and 2/4 equivalent ratios?
Answer:
Yes
Step-by-step explanation:
They both equal 50%
Answer:
50%
Step-by-step explanation:
50%
Hope this will help you.
Please mark me as Brainllist
-pihu Roy.
7x^2 - 16x - 15
please help find the factored form
Step-by-step explanation:
7x^×2-16x-15
14x^-16x-15
Simplify the expression
Answer:
A. [tex] {x}^{3} - x - \frac{6}{2x + 3}[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{4} + 3 {x}^{3} - 2 {x}^{2} - 3x - 6}{2x + 3} \\ \\ = \frac{(2 {x}^{4} + 3 {x}^{3} ) - (2 {x}^{2} + 3x) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2 {x} + 3 ) - x(2 {x} + 3) - 6}{2x + 3} \\ \\ = \frac{ {x}^{3} (2x + 3)}{2x + 3} - \frac{x(2x + 3)}{2x + 3} - \frac{6}{2x + 3} \\ \\ \purple { \bold{= {x}^{3} - x - \frac{6}{2x + 3} }}[/tex]
find the value of x in each of the given triangles.
Answer:
solution here,
x+3x+80=180degree
4x+80=180
4x=180-80
x=100÷4
therefore
x=25
What 9x696566729748736363663636275756?
Answer: a big number
Step-by-step explanation:
why do you even need to know the answer?? lol
Please help me with this, i need it for a math quiz.
|−14.6 − (−5.2)|
Thank you.
The correct answer is D.) |−14.6 − (−5.2)|
Step-by-step explanation: This is the case because we are first subtracting the value of the two numbers from each other. Then we're taking the absolute value so we can find distance, which is always expressed in a positive number.
If you were to make a quadrilateral by rotating triangle RST 180 about U which type of quadrilateral would form? A. Rectangle B. Square C. Rhombus D. Trapezoid
Answer:
Rhombus
Step-by-step explanation:
A triangle when rotated around any point by 180° forms a Rhombus.
Answer:
Rectangle
Step-by-step explanation:
I got it wrong on math nation and found out the correct answer.
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
please help! the question is in the photo :))
Answer:
00000
Step-by-step explanation:
please send the clear pic of the question
Answers:
angle G = 25angle J = 107angle I = 48angle P = 25angle K = 107angle H = 48===========================================
Explanation:
Triangle GJI and triangle PKH are similar triangles. The order of the letters is important because it tells us how the angles pair up.
The first letter of GJI is G, while the first letter of PKH is P. This means angles G and P pair up. They are congruent pair because similar triangles have congruent corresponding angles.
So,
G+P = 50
G+G = 50 .... plug in G = P
2G = 50
G = 50/2
G = 25
Both angle G and angle P are 25 degrees
Use angle I = 48 to help find angle J
G+J+I = 180
25+J+48 = 180
J+73 = 180
J = 180-73
J = 107
Angle J is 107 degrees
Since J and K are the second letters of GJI and PKH respectively, this means angle J = angle K = 107
Since I and H are the third letters of GJI and PKH respectively, we know that angle I = angle H = 48
------------------------
Summary:
angle G = 25angle J = 107angle I = 48angle P = 25angle K = 107angle H = 48Question
Sylvia has $14,000 dollars in her bank account. However, she recently lost her job and
is not making money. She has to pay $7,000 per month in bills and expenses. When
will her account reach zero? Fill in the table to find the solution.
x f(x) = 14,000 - 7,000x
0
14,000
1
2.
Sylvia will run out of money in
months.
Answer:
i think two months im not sure tho
Step-by-step explanation:
PLEASE ANSWER ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 1626815
Step-by-step explanation:
Answer:
264 cm^3
Step-by-step explanation:
ASAP
PLEASE ANSWER FAST AS YOU CAN and answer like
number 1. answer is ______________
number 2. answer is_____________
number 3. answer is_____________
number 4. answer is_____________
number 5. answer is_______________
Answer:
number 1. answer is 5
number 2. answer is 2 1/2
number 3. answer is 9/16
number 4. answer is 45.7
number 5. answer is 18.7
Answer:
1. 5 miles
2. 5 4/12 cups
3. 9/16 gallons
4. 45.7 km/h
5. 18.7 m/h
Step-by-step explanation:
For the first one, she jogs 1/2 miles in 1/10 of an hour. So to get an hour you can do the reciprocal of 1/10 to get 1
1/10 * 10/1 = 1 hour
Now you have to do that to the miles as well.
1/2 * 10/1
1 * 10 = 10
2 * 1 = 2
10/2
5 miles
So she jogged 5 miles in 1 hour
For the second one, 8 3/4 cups of milk for 3 1/3 cups of cereal. You need 1 cup though.
So to find 1 cup you have to get a common denominator first.
1/3
3/4
A common factor is 12. multiply 4 for both the top and the bottom for 1/3 and 3 to top and bottom for 3/4. What's done to the top must be done to the bottom as well.
1/3 *4/4 = 4/12
3/4 * 3/3 = 9/12
8 4/12 and 3 9/12 is what you have now.
You only need 1 cup so you can subtract 2 9/12 to both.
8 4/12 - 2 9/12 = 5 4/12
3 9/12 - 2 9/12 = 1
So 1 cup of oatmeal uses 5 4/12 cups of milk.
For the third one, 3/16 gallons of water for 1/3 feet of garden.
You need to find that for 1 foot so it be similar to the first one.
Use reciprocal on 1/3 to get that 1 foot you need.
1/3 * 3/1 = 1
What you do to one you have to do to the other.
3/16 * 3/1 = 9/16
You can't simplify it so that's its simplest form.
S 1 foot of garden uses 9/16 gallons of water.
Numero four. This one seems hard but really all you have to do is divide km by h.
822.6 km/ 18 h
45.7 km/h
Last one, once again all you have to do is divide m by h to get m/h.
768.57m/41.1h
18.7 m/h
And thats it! I hope this helps you and if you ever need any more help, don't be afraid to reach out.
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
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
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
PLEASE HELP WILL GIVE BRAINLIEST
Jared bought a 60 foot length of rope and cut it into 2¾ foot pieces. How
many 2¾ foot pieces was he able to get?
Answer:
22.5
Step-by-step explanation:
You just have to do 60 divided by 2.66 (The decimal form of 2/3) and then you have your answer PLEASE BRAINLIEST
Answer:
21
Step-by-step explanation:
21
60/2 3/4 = 21 R 2 1/4
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
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
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
IF YOU GOOD AT MATH PLZZ HELP!!! Algebra II
Answer:????
Answer:
im bad sorry
Step-by-step explanation:
djdjdideoeoepepwpwpwpwpwp
Answer:
H)
sure 100%
Step-by-step explanation:
Mark as Brainliest.
Because I am Indian and solving your question from India.
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)
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
Simplify: -3 ( 2x - 5) - 2 (4x + 3)
A. 14x - 9
B. - 2x + 21
C. - 14x + 9
D. - 14x + 21
Answer:
option b
Step-by-step explanation:
remove the parentheses
-6x+15 -2(4x+3)
collect like terms
-14x+15-6
subtract the numbers
15-6
-14x+9
I hope this helps!Answer:
the answer is C
Step-by-step explanation:
by doing the distributive property
multiplay the -3 with the numbers in the parenthesis (2x-5) and the same with -2 and (4x +3)
the result will be -6x+15-8x-6 now you need to combine like terms
-6x-8x 15-6
-14x+9