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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Tiffany drew three triangles. She use the measurements of 25 degrees, 80 degrees, and 75 degrees. Is this a possible triangle?
A. Yes
B. No
Answer:
Yes.
Step-by-step explanation:
1. RS has endpoints R(2, 4) and S(-1, 7). What are
the coordinates of its midpoint M?
Answer:
(0.5, 5.5)
Step-by-step explanation:
Round 4802 to the lead digit
Answer:
It would be 5000
Step-by-step explanation:
It would be 500 b/c the number is a greater number that is 4802 and it is closer to 5000 than 4000
Pls help How many sides does this regular polygon have?
Answer:
9
Step-by-step explanation:
interior angle + exterior angle = 180°, that is
7y + 2y = 180
9y = 180 ( divide both sides by 9 )
y = 20
Then
2y = 2 × 20 = 40°
The sum of the exterior angles of a polygon = 360°
Divide the sum by 40 for number of sides (n)
n = [tex]\frac{360}{40}[/tex] = 9
Problem 1: The Jefferson Band is selling baked goods to raise money for their trip. Their goal is to
profit at least $500. Each baked good sells for $2 but costs $0.50 to make. How many baked goods
will they have to sell to meet the goal?
Answer
250
315
333
334
341
Answer:
334
Step-by-step explanation:
[tex]\color{plum}\tt\bold{(a) \: 250}[/tex]
○=> Steps to derive correct answer :Money Jefferson needs to collect = $500
Selling price of each baked good = $2
Cost price of each baked good = 0.50
Number of baked goods Jefferson need to sell to meet his goal :
[tex] =\tt \frac{500}{2} \times 0.50[/tex]
[tex] =\tt 250 \times 0.50[/tex]
[tex]\color{plum} =\tt 125 \: baked \: goods[/tex]
Thus, Jefferson needs to sell 125 baked goods.
▪︎Therefore, the correct option is (a) 125.
What is the difference of d minus 3 divided by 2 if d = 3?
Solve for x:
(4x - 6)
(2x)
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
2x + 4x - 6 = 180
6x - 6 = 180
6x = 186
x = 31
Step-by-step explanation:
9. There are 45 marbles in a bag (black and white only). The ratio of white marbles to black marbles is 2:3.
How many of each are there?
18 white and 27 black
Step-by-step explanation:
add 2 + 3 to get 5
45 ÷ 5 = 9
since white is 2, multiply 9 by 2 to get 18
since black 3, multiply 9 by 3 to get 27
A city has 17391 registered Democrats and 20553 registered
Republicans. An organization wishes to survey equal proportions of
each group.
The council decides to survey 13 Republicans
How many Democrats should they survey? Democrats
Answer: The council should survey 11 Democrats.
Step-by-step explanation:
A proportional relationship is written as:
y = k*x
Where k is the constant of proportionality. y is the number of surveyed members, and x is the total number of registered members.
If we use the same proportion for each case, then we will use the same value of k.
We know that there are 20553 registered Republicans, and the council decides to survey 13 of them, then we will have the relation:
13 = k*20553
Now we can solve this for k:
13/20553 = k
Then the proportional relationship will be:
y = (13/20553)*x
The number of democrats they should survey can be found if we replace x by the number of registered Democrats, then we use x = 17391
this leads to:
y = (13/20553)*17391 = 11
The company should survey 11 Democrats.
I need help I don’t get how to solve it plsss help me
Answer:
Step-by-step explanation:
They give you the equation, you must substitute the x values into the equation to find the y values.
Example on top equation:
y=-5x so the y values would be
y=-5(-1)=5
y=-5(0)=0
y=-5(1)=-5
y=-5(2)=-10
5 grams of chucknorrisidium created, decays at a half-life of 16,000,000 Need 1 gram for experiments. How long before the is 1 gram remaining
Answer:
the time taken for the element to remain 1 gram is 38,400,000 unit.
Step-by-step explanation:
Given;
initial mass, m = 5 g
half life, t = 16,000,000 unit
The time taken for the element to remain 1 gram is calculated as;
mass remaining time
5 g 0
2.5 g 16,000,000
1.25 g 32,000,000
0.625 g 48,000,000
Interpolate to obtain the time at 1 gram;
1.25 g ---------------------------------- 32,000,000
1 g --------------------------------------------- x
0.625 g --------------------------------------- 48,000,000
[tex]\frac{1.25 - 1}{1.25 - 0.625} = \frac{32,000,000 - x}{32,000,000 - 48,000,000} \\\\\frac{0.25}{0.625} = \frac{32,000,000 - x}{-16,000,000} \\\\-4,000,000= 20,000,000 - 0.625x\\\\0.625x = 20,000,000 + 4,000,000\\\\0.625x = 24,000,000\\\\x = \frac{24,000,000}{0.625} \\\\x = 38,400,000[/tex]
Therefore, the time taken for the element to remain 1 gram is 38,400,000 unit.
help me plzzzzzzzzzzzzzz
Answer:
the equation is y=4x+3
Step-by-step explanation:
is that what you wanted?
Answer:
y=4x +3
Step-by-step explanation:
y=mx + b is the slope y-intercept form
4 is the slope so "mx" is now filled and 3 is the y-intercept
i hope this helps :) have a great day !!
with one litre of paint you can paint an area of 8m².how much paint will you need for a wall mural that is 10m wide and 3m high?
Answer: 3.75 liters
Step-by-step explanation:
1 liter = 8m^2
area of the wall = l x b (wide x high)
= 10 x 3
= 30m^2
so, quantity of paint needed = 30/8 = 3.75 liters
Hope it helped u,
pls mark as the brainliest -Ayaan707-
^_^
I really need help PLZ and show work
Answer:
I'm pretty sure it's 6(x+8)=60
Step-by-step explanation:
Answer:
the third one or 3(x+8)
Step-by-step explanation:
60/3 = 20
5 Marta designs a logo for her mother's business,
X-treme Nutrition. The logo is shown.
35°
35°
b
Which equation and solution best represents
angle b?
A b + 35 = 90; b = 55°
B b-35 = 35; b = 70°
C 6+ 70 = 180; b = 110°
D b + 35 = 180; b = 145°
Answer:
(C). b + (2 × 35) = 180; b = 110°
Step-by-step explanation:
How many outfits can you make with 5 shirts 4 pairs of pants and 2 pairs of shoes
Answer:
2 outfits because you only have 2 pairs of shoes
Step-by-step explanation:
Given that is the midpoint of AB and E is the midpoint of AC, AD =32cm, AE=19cm, and DE=39cm, determine the perimeter of DBCE
Answer:
since triangle AED similar to ACB
CE=19cm mid point bisect it
BD=32Cm mid point bisect it
Step-by-step explanation:
BC=2DE=2×39=78Cm
perimeter=sum of all side=ce+de+bd+bc=19+39+32+78=168cmtherefore perimeter of DBCE=168CmWhat is the first step to solve for y for -x+2y=-10
Answer:
-x +2y = - 10
2y = x - 10
y. = x - 10/2
hope it helps ☺️☺️
Graph would be the first step!
If 5 < 2x + 3 < 11, what is the possible range of values of -4r – 6?
Explain to me what a proportion is
Answer:
its a fraction but you use proportions to find x
for example :
2 ×
- -
3 2
Step-by-step explanation:
you multiply cross so then you divide that by your other number
Jay had 6 times as much money as Kay. Then Jay gave Kay $33. Jay now has twice as much money as Kay. How much did they each start with?
Answer:
Jay started with $148.5 and Kay with $24.75.
Step-by-step explanation:
With the information provided you know that Jay had 6 times as much money as Kay wich can be expressed as:
J=6K, where
J is the money Jay had
K is the money Kay had
Also, you know that Jay gave Kay $33 and Jay now has twice as much money as Kay, which would be:
J-33=2(K+33)
Now, you can replace J=6K in this equation and solve for K:
6K-33=2K+66
6K-2K=66+33
4K=66
K=24.75
Then, you can replace the value of K in J=6K:
J=6*24.75
J=148.5
According to this, the answer is that Jay started with $148.5 and Kay with $24.75.
Suppose the ratio of Lev's age to Mina's age is $1 : 2$ and the ratio of Mina's age to Naomi's age is $3 : 4$. What is the ratio of Lev's age to Naomi's age? Give your answer in simplest form.
Answer:
3:8
Step-by-step explanation:
The ratio of Mina's age to Naomi's age is 3 : 4
Multiplying the above ratio by 2 = 6:8
The ratio of Lev's age to Mina's age is 1 : 2
Multiplying the above ratio by 3
= 3:6
Therefore, ratio of Lev's age to Naomi's age in simplest form.
= 3:8
Answer:
3:8
Step-by-step explanation:
Let L, M, and N stand for the three ages.
The given ratios tell us that
M = 2L
and
N = 4/3M.
Therefore,
N = 4/3 x 2L = 8/3L.
This means that Lev's and Naomi's ages are in the ratio 3:8.
Tools
Guideline Eliminator
Sticky Notes
Formulas Graphing Calculator Graph Paper Pencil
5 Clear
Mark for Review
A rectangular prism and its dimensions are shown in the diagram.
L
2.5 ft
4 ft
4.5 ft
What is the total surface area of the rectangular prism in square feet?
A 39.25 ft?
© 45 ft?
B 78.5 ft?
D Not here
Answer:
6.7 to 26
Step-by-step explanation:
Determine the unknown angle in the triangle pictured below: pls help me /.
Answer:
60
Put the Brainlest please
Help me pleeeeeeasseeeeee
I really ened an explanation as well...
Answer:
The answer is 104
Step-by-step explanation:
Its simple. Just do 52x2=104. 52 is half of the ST line.
HELP PLEASE IM IN A TIMED TESTTTT !!!
Mr. Frankel bought 7 tickets to a puppet show and spent $43. He bought a combination of child tickets for $4
each and adult tickets for $9 each. Which system of equations below will determine the number of adult
tickets, a, and the number of child tickets, c, he bought?
1. a=C-9
9a + 40 =43
2. 9a +4c=43
a+c=7
3. 40 + 40 = 50
a+c=7
4. a+c= 301
a+c=7
Answer:
Step-by-step explanation:
2. 9a +4c=43
a+c=7
The total tickets for adults and children = 7 (a+c =7) 7 people in all
price for adult = $9 (9a) Price per child =$4 (4c)
total price =$ 43
9a +7c = 43
A high school soccer team has 3 freshmen, 4 sophomores, 6 juniors, and 7 seniors. Two random players will be chosen by the coach to lead the warm up. What is the probability that the coach will select a sophomore then a senior?
A. 7/95
B. 7/100
C. 4/75
The two large squares below each represent 1 unit
0.26 + 0.6
Answer:
0.26+0.6=0.86
Step-by-step explanation:
Special Right Triangles and Pythagorean Theorem
1. Find the length of the missing side.Leave your answer in the simplest radical form.
please show work
Answer:
Step-by-step explanation:
225+36 = 261
[tex]\sqrt{261}[/tex]
What is the volume of a box with the dimensions of 10ft. by 5ft. by 6ft?
Answer:
300ft^3
Step-by-step explanation:
10ft. by 5ft. by 6ft? =300ft^3
The volume of the box with the dimensions of 10 ft x 5 ft x 6 ft is 300 cubic feet.
What is the volume of the cuboid?The volume of cuboid is given by -
V{C} = Length x Breadth x Height
Given is a box with the dimensions of 10 ft x 5 ft x 6 ft.
We can write the volume of the box as -
V{b} = L x B x H
V{b} = 10 x 5 x 6
V{b} = 50 x 6
V{b} = 300 cubic feet
Therefore, the volume of the box with the dimensions of 10 ft x 5 ft x 6 ft is 300 cubic feet.
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