The age of the man is 40 years and that of his daughter is 8 years respectively.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
Suppose the age of man be x.
Then, age of his daughter is x - 32.
As per the question the following equation can be formed for the product of ages as ,
x(x - 32) = 320
⇒ x² - 32x - 320 = 0
⇒ x = 40, -8
Since, age of a person cannot be a negative value, it is taken as positive.
Thus, the age of daughter is 40 - 32 = 8
Hence, the age of the man and his daughter is obtained as 40 and 8 years respectively.
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9. Write the equation that expresses the table below.
Answer:
y = 10x
Step-by-step explanation:
When x = 2, y = 20
When x = 5, y = 50
When x = 7, y = 70
In each of these examples, y = 10 * x.
The answer is y = 10x.
Write an inequality to match this statement: 14 is greater than 10. **Hint** You need to use shift and the comma button or the period button to make the greater than or less than sign. *
please put answer and how to get it
Answer:
14>10
Step-by-step explanation:
marlee drove 60 miles using 2 gallons of gas.Which is the unit rate in fraction form?
Answer:
30 mile per gallon
Step-by-step explanation:
60/2=30
Answer:
30 miles/ 1 gallon
Ir (2p-1,p) is a solution of the equation 9y + 12 = 10x, then find the value of p
Answer:
p = 2
Step-by-step explanation:
Since, (2p-1,p) is a solution of the equation 9y + 12 = 10x.
Therefore, plug x = 2p - 1 & y = p in the above equation.
9p + 12 = 10(2p - 1)
9p + 12 = 20p - 10
12 + 10 = 20p - 9p
22 = 11p
p = 22/11
p = 2
Find the perimeter of the triangle below.
pls help!!!
Answer:
180
--
40*9 / 2
Hope this helps!!!
Passes through (2, 3) and has slope of -1/2
Answer:
y=-1/2x+4
Step-by-step explanation:
the slope is -1/2x and y intercept is 4
Mondays at pizza pan you can cheese to toppings at no extra cost for your pizza to tacos are mushroom sausage peppers and extra cheese how many different pizza's could you order
Answer:
We can order 35 different types of pizza based on the toppings.
Step-by-step explanation:
There are 3 different types of pizza crust which a person can choose for his pizza. On Monday's company has introduced new campaign in which a person can choose extra toppings of his choice at no additional cost. The topping are of 7 different types. The total number of different pizza which a person can have is 7C3. Solving through computation technique we get 35.
Tina plans to make wooden frames to put her two triangular art pieces in.
How much wood would she need fortriangle DFG?
Enter your answer in the box.
in.
Two triangles A B C and D F G. A B is 5 inches. B C is 6 inches. A C is 7 inches. D F is 15 inches. F G is 18 inches. Angle B is congruent to angle F.
Answer:
54in
Step-by-step explanation:
i took the test
2. Faith is a 95% free throw shooter. At practice, each player shoots 20 free throws. Let
X = the number of free throws Faith makes out of 20 shots.
Answer:
19
Step-by-step explanation:
So if you want to find out what x is then you would try to find 95% of 20 which is 19. She made 19 of her free throws.
How many mathematical statements could you write using the numbers 4,5 and 20 for example 4x5=20 how many problems could you make using those same numbers
Answer:
20 Divided By 5 = 4 or 5 x4 = 20
Step-by-step explanation:
I NEED HELP!!
In the figure below, vertices D and F of
A DEF lie on CG. What is the measure of
DEF?
Answer:
D 108
Step-by-step explanation:
YOU CAN MARK ME AS BRAINIEST IF YOU WANT
What is the y-intercept of the function below?
y= 2x + 7????
Answer:
(0,7)
Step-by-step explanation:
This equation is already in slope-intercept form, (y=mx+b), where m is the slope, and b is the y-intercept.
From the equation, we see that (0,7) is the y-intercept.
Let me know if this helps!
Help ASAP please please 14 and 15
Simone is buying pies for a party. One cherry pie costs $7, and one apple pie costs $5.
If Simone needs to buy at least 18 pies and has no more than $110 to spend, what is the maximum number of cherry pies she can buy?
Answer:
the answer is 15
Step-by-step explanation:
because 110÷7$
The maximum number of 15 cherry pies she can buy.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Simone is buying pies for a party.
One cherry pie costs $7,
and one apple pie costs $5.
If Simone needs to buy at least 18 pies and has no more than $110 to spend,
the maximum number of cherry pies,
= 110/7
= 15.71.
If 15 cherry pies, then 3 apple pies.
The total amount = 15 x 7 + 3 x 5
= 110
Therefore, 15 is the maximum number.
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Use addition to solve the system of linear equations. Include all of your work in your final answer.
Answer: No solutions
Step-by-step explanation:
You can either use substitution or elimination
You can plug in y to the first equation to get x-(x-4)=6 to get 4=6 which is not possible so no solutions
PLEASE HELP ME SOMEONE
Answer: A
Step-by-step explanation:
A business executive received a $6,000 bonus check from her company at the end of the year. This was 5% of her annual salary. How much was her annual salary before receiving the bonus?
Answer:
120000
Step-by-step explanation:
5 x 20 = 100%
6000 x 20 = 120,000
Factor as the product of two binomials. x^2-9x+20
Answer:
(x-4)(x-5)
That is the answer, hope it helps.
Determine the value of x in the diagram.
96°
X
84°
96°
Answer:
84
Step-by-step explanation:
96+96+84=276
360-276=84
PLEASE HELP ASAP, will mark brainliest
Answer: I think you have to start at 10 and go up i may be wrong but i think you get your answer that ay if I'm right
Step-by-step explanation:
Answer:
You go up ten spaces and then you get the placements of the letters
Step-by-step explanation:
5
A school rewards students for good work by giving them merit points.
James has x merit points.
Sarah has three times as many merit points than James.
Robert has 68 fewer merit points than James.
ETTER
GRADE
Each merit point is worth 3 pence.
All three of the students have a total of £15.81
EFFECT
Work out how many merit points each student has.
Irk
James:
Your
Marks
Sarah:
Robert
Answer:
James = 119 points
Sarah = 357 points
Roberts = 51 points
Step-by-step explanation:
Given that :
James = x points
Sarah = 3x points
Roberts = x - 68 points
Each point = 3 pence
All students have a total of £15.81
1 pound = 100 pence
£15.81 pound = 1581 pence
3x + 3(3x) + 3(x - 68) = 1581
3x + 9x + 3x - 204 = 1581
15x - 204 = 1581
15x = 1581 + 204
15x = 1785
x = 1785 / 15
x = 119
Hence,
James = 119 points
Sarah = 119 * 3 = 357 points
Roberts = 119 - 68 = 51 points
En un día de febrero, una ciudad de Estados Unidos registró una temperatura mínima de 9° bajo cero y una temperatura máxima de 13°C. ¿De cuántos grados fue el intervalo de temperaturas registradas?
Answer:
La cantidad de grados del intervalo de temperaturas registradas en el día de febrero mencionado es de:
5Step-by-step explanation:
En estadística, cuando se utilizan intervalos como valores para identificar datos cuantitativos, como en este caso temperaturas registradas, deben tomarse todos los valores, en este caso enteros, desde el límite inferior (temperatura mínima) hasta el límite superior (temperatura máxima), por lo cual no se puede restar el valor máximo al valor mínimo, sino que debes identificar todos los valores y después contarlos. En el caso del ejercicio dado, los grados en el intervalo mencionado son:
9°C10°C11°C12°C13°CComo puedes ver, los grados en el intervalo de temperaturas registradas serían 5.
I WILL GET A ZERO IF I DONT GET THIS RIGHT A) describe each two-dimensional figure cross section that results from slicing each three-dimensional figure
B)describe the two dimensional figure cross section that results from slicing the cylinder number 6 with a vertical cross-section
PLEASE HELP QUICK
Answer:
What is the two dimensional shape that is created when the shape provided is sliced horizontally? Explanation: A horizontal cut is a side to side cut. This shape is a right rectangular pyramid, which has a base of a rectangle and sides in the shape of triangles; thus, a horizontal cut would make a rectangle.
Step-by-step explanation:
If r=3q + 2 and q = 1/3n for n = 1,2 or 3,
what is the least possiable value of r ?
A. 1
B. 2 1/9
C. 2 1/3
D. 3
Answer:
D. 3
Step-by-step explanation:
For n = 1:
q = 1/3 * 1 = 1/3
r = 3 * 1/3 + 2 = 1 + 2 = 3
For n = 2:
q = 1/3 * 2 = 2/3
r = 3 * 2/3 + 2 = 2 + 2 = 4
For n = 3:
q = 1/3 * 3 = 1
r = 3 * 1 + 2 = 3 + 2 = 5
Therefore, from the values of r that we found (3, 4, 5), the minimal value is 3.
Answer:
C
Step-by-step explanation:
21/ 3 is the answer of this question
Is the point (1, 2) a solution to the system?
y = 4x-2. y = 10x - 8
A. No
B. Yes
C. More information is needed.
Answer:
B) Yes
Step-by-step explanation:
2=4(1)-2
2=4-2
Yes.
2=10(1)-8
2=10-8
Yes.
Please help me need ASAP
(3) y= 5x+ 13
you have to do the rise (ryse - with a y because it is the y value) over the run to get your slope and then subtract your slope from 18 to get 13.
Football is backkkk LFG!!!!!
The following table shows the number of students in a class who like movies and/or music: Like Movies Do Not Like Movies Total Like Music 36 ? 56 Do Not Like Music 15 4 19 Total 51 24 75 What is the missing number in the table? (1 point) 12 20 32 52
Answer:20
Step-by-step explanation:
I got it right on my test
Answer:
20
Step-by-step explanation:
just took the test :)
Solve for x. Leave your answer in simplest radical form.
SOMEONE HELP ME PLEASE I NEED IT, it needs to be in radical form
Step-by-step explanation:
step 1. let's call the line in the middle y.
step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.
step 3. x^2 + y^2 =100 (pythagorean theorem))
step 4. x^2 + (sqrt(74))^2 = 100.
step 5. x^2 = 100 - 74
step 6. x^2 = 26
step 7. x = sqrt(26). note: sqrt is the square root.
The value of the x is [tex]\sqrt{26}[/tex].
To understand more, check below explanation.
Pythagoras theorem :Apply Pythagoras theorem in right side triangle,
Hypotenuse[tex]=\sqrt{5^{2}+7^{2} } =\sqrt{25+49}=\sqrt{74}[/tex]
Now apply Pythagoras theorem in the left side triangle,
[tex]Hypotenus^{2} +x^{2} =10^{2} \\\\(\sqrt{74} )^{2} +x^{2} =100\\\\x^{2} =100-74=26\\\\x=\sqrt{26}[/tex]
Hence, the value of the x is [tex]\sqrt{26}[/tex].
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To find the area of a composite figure, you must find the area of each polygon
and then add their areas together to find the total area of the composite figure.
What is the area of the rectangle in this composite figure?
A. 23cm
B. 112cm
C. 23cm^2
D. 112cm^2
Answer:
it is b
Step-by-step explanation: