Answer:
Let's let g = Dr. Garcia's age and s = his son's age.
g = 2s, right?
20 years ago, Dr. Garcia was g - 20 years old. He was also 4(s - 20), 4 times his son's age 7 years ago.
g - 20 = 4(s - 20)
g - 20 = 4s - 80
In the first equation, we have g = 2s. We are going to substitute this g into the second equation.
2s - 20 = 4s - 80
60 = 2s
s = 30
So, his son is 30 and Mr. Garcia is 60. 30 x 2 = 60.
20 years ago, his son would have been 10 and Mr. Garcia would have been 40. 10 x 4 = 40.
Step-by-step explanation:
Brainliest?
Answer:
Dr. Garcia's age is 60, and his son's age is 30.
Step-by-step explanation:
Let x be Dr. Garcia's age, and y his son's age.
1. Dr. Garcia is twice as old as his son
x = 2 y
2. Twenty years ago, he was 4 times as old as his son was then
x - 20 = 4 (y - 20)
Substitute x in 2 and solve for y:
2 y - 20 = 4 (y - 20)
2 y - 20 = 4 y - 80
- 20 = 2 y - 80
60 = 2 y
y = 30
Put y back into 1:
x = 2 (30)
x = 60
So Dr. Garcia's age is 60, and his son's age is 30.
A truck is painting traffic lines along a highway the truck paints 8 miles of lines in 3 hours at the rate how many miles can a truck paint in 12 hours.
Answer:
The truck can paint 32 miles in 12 hours.
I dont know what To Put here srry
There is a question here it pic
Answer:
31.4 OR 10π
Step-by-step explanation:
circumference of the circle: 2 × 3.14(π) × radius
the radius in the circle shown is 5
2 × 3.14 × 5 = 31.4
or
2 × π × 5 = 10π
Find the geometric mean of the pair of numbers. Give your answer in simplest radical form.
1/4 and 4
Answer:
1
Step-by-step explanation:
The geometric mean of two numbers is the suqre root of their product
=sqrt(1/4*4)
=sqrt(1)
=1
a circle has a radius of sqrt37 units and is centered at 1.3,-3.5
Answer:
80
Step-by-step explanation:
Answer:
(x-1.3)^2 + (y+3.5)^2 = 37
In general, (x-c)^2 + (y-k)^2 = r^2 where (c,k) is the center and r is the radius.
So if the circle with radius 5 has center (3,-4) then it's equation is:
(x-3)^2 + (y+4)^2 = 25
Notice that the second term is (y+4)^2 because the y-coordinate is -4 and y-(-4) = y+4
Geometry help please. What is J? What is G?
Answer:
j = 32
g = 78
Step-by-step explanation:
because they are similar you can use CPCTC corresponding parts of congruent triangles are congruent to determine f = j and h = g
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
A
Step-by-step explanation:
x is greater than 2 so all numbers bigger than 2 will be shaded. the circle is open because its not less than or equal to or greater than or equal to.
Zoe runs a market in the city of Manila. Half of the canned drinks in stock were sold out. Zoe bought 68 more canned drinks to restock her supply. If there is a total of 200 cans now, how many canned drinks were in stock initially?
Answer:
264 canned drinks
Step-by-step explanation:
Let
canned drinks in stock initially = x
Canned drinks sold out = 1/2 of x
= 1/2x
Canned drinks remaining in stock = x - 1/2x
= 1/2x
New restock = 68 canned drinks
Total drinks in stock presently = Canned drinks remaining in stock + New restock
200 = 1/2x + 68
200 - 68 = 1/2x
132 = 1/2x
x = 132 ÷ 1/2
= 132 × 2/1
x = 264 canned drinks
canned drinks in stock initially = x = 264 canned drinks
Jodie has 68 red marbles and 272 blue marbles. What percent of Jodie’s marbles are red?
Answer:
20%
Step-by-step explanation:
To do this we need to find the total number of marbles
272 + 68 -> 340
Now we divide 340 by 68 to get
68/ 340 = .2
Multiply by 100 because percent means PER 100 so to get this decimal in percent form multiply by 100
.2 * 100 = 20%
20% of Jodie's marbles are red
What is the value of x?
A. 25°
B. 50°
C. 55°
D. 75°
E. 80°
Answer:
Option Bx = 50°Step-by-step explanation:
By the condition,
25° + 105° + x = 180° [Angle sum property of triangle]
=> 130 + x = 180
=> x = 180 - 130
=> x = 50° (Ans)
PLS HELP WILL GIVE BRAINY THINGY TO CORRECT ANSWER PLUS 100 POINTS!!!
Toby is choosing a bank account.
He wants to invest his money for 5 years.
Account 1: 7.2% interest paid at the end of 5 years.
Account 2: 1.49% compound interest, paid annually.
Account 3: 1.9% simple interest on the starting amount, paid annually.
How much interest will Toby earn on £1000 with each account?
Round your answers to the nearest penny.
Write down which account Toby should choose in the comment box.
Account 1: £
Account 2: £
Account 3: £
Answer:
Account 1: £720, account 2: £1227.38, account 3: £950.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
PLZ help for branliest answer. I NEED CORRECT ANSWER
Help pls
Find x
a(21)
b(27)
c(9)
d(18)
9514 1404 393
Answer:
a. 21
Step-by-step explanation:
The external part of the hypotenuse of the right triangle is shown. The full length of the hypotenuse is 9+20 = 29. The Pythagorean theorem can be used to find x.
x^2 +20^2 = 29^2
x^2 = 841 -400
x = √441
x = 21
__
Alternate solution
The diameter of the circle is 2·20 = 40 units, so the product of distances from the external vertex to the opposite sides of the circle along the secant is (9)(40+9). The product of the distances along the tangent is x·x. These two products are equal, so ...
x^2 = 9(49)
x = (√9)(√49) = 3·7
x = 21
Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14
A. 18.84
B. 28.26
C. 91.06
D. 113.04
Answer:
B. 28.26
Step-by-step explanation:
what is the mean price of $29 $58 $15 $129 $75 $22
Why is it not possible to make a right triangle using lengths of 4 feet, 8 feet, and 10 feet?
Answer:
because it does not follow the rule... you should be able to and any to side lengths and get an answer greater than the third side.
Need help. Find the value of x
Answer:
Step-by-step explanation:
14
Can someone please help me on this homework ASAP!!
Answer:
Step-by-step explanation:
Multiply each term of (x² + 2x - 1) by x and multiply each term of (x² + 2x - 1) by 3
Area of parallelogram = bh
= (x² + 2x - 1)(x + 3)
= (x² + 2x - 1)*x + (x² + 2x - 1)*3
=x²*x + 2x*x - 1*x + x²*3 +2x*3 - 1*3
= x³ + 2x² - x + 3x² + 6x - 3
= x³ + 2x² + 3x² -x + 6x - 3
= x³ + 5x² + 5x - 3
all of the following represents three multiplied by six except
3 × 6
3 . 6
3 (6)
3:6
Answer:
the second one
Step-by-step explanation:
non
Factor this quadratic equation x^2-3x=0 showing all steps
Answer: x = 0; x = 3
Step-by-step explanation:
x^2 - 3x = 0
1. x is a common factor, so factor it out
x(x - 3) = 0
2. set both factors equal to zero
x = 0
x - 3 = 0
3. final answer
x = 0
x = 3
hii please help i’ll give brainliest
Answer: Point K
Step-by-step explanation:
The first number is the x line and the second number is the y line <3 pls mark brainliest
Matt's savings account earns 2% interest each year. He had $200.00 in his savings account
at the beginning of the first year. If he did not deposit or withdraw any money, what is the
value of Matt's savings account at the end of the second year?
Answer:
208.08
Step-by-step explanation:
math
Answer:
204
Step-by-step explanation:
2% of 200 is 2 so after second year it will be 200,+2+2 that is 204
The 10 students in the Environmental Club represent 10% of the students in the seventh grade. How many students are in the seventh grade?
Answer:
100 students
Step-by-step explanation:
10% of students in 7th grade ----- 10 students
Divide by 10 on both sides:
1% of students in 7th grade ----- 10 ÷10= 1 student
×100 on both sides:
100% of students in 7th grade ----- 1 ×100= 100 students
Answer:100
Step-by-step explanation:
answer only thx thx IMAOSJSJA
Answer:
5) 48
6) 60
Step-by-step explanation:
Hello I need help with this question. Can you please explain how to got your answer?
Answer:
B) y = 4/3x - 2
Step-by-step explanation:
In pic below.
Answer:
The correct answer is B
Step-by-step explanation:
hope it will help you
What is the area of a garden plot that measures 6 1/2 feet by 4 feet?
Answer:
26 sq. ft.
Step-by-step explanation:
So 6 1/2*4
6*4=24, 1/2*4=2
24+2=26
Tina paid $6.60 for some $0.15 stamps and some $0.20 stamps. She bought 37 stamps in all. How many of each kind did she buy?
PLS HELP
Answer:
1 set of A= $0.15
1 set of B= $0.20
Total Stamps bought = 37
Total purchase = 37
Let X= Set A of $0.15 each
Y= Set B of $0.20 each
x+y = 37----------X=37-Y
0.15X + 0.20Y = 6.60
0.15(37-Y) + 0.20Y = 6.60
5.55- 0.15Y + 0.20Y =6.60
0.05 Y = 6.60-5. 55
Y=1.05/ 0.05= 21
X= 37-21= 16
What is the range?
981356 mean and median
Answer:
mean: 15
median: 14
mode: 13
range: 8
Write an equation of the line that passes through the given point P and has the given slope m.
P(9,4)
m = -1/3
9514 1404 393
Answer:
y -4 = -1/3(x -9)
Step-by-step explanation:
The point-slope form of the equation for a line is useful for this.
y -k = m(x -h) . . . . . . . line through point (h, k) with slope m
You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...
y -4 = -1/3(x -9)
Please help me asap. No links please
8th Grade
Answer:
Option P √2.5²-1.2²
Step-by-step explanation:
a = distance between Toby's House and the playground = 1.2 inches
b = distance between the playground and Toby's Friend's House = unknown
c = distance between Toby's House and Toby's Friend's House = 2.5 inches
Use the Pythagorean Theorem to calculate the side length of b:
a²+b²=c²
b²=c²-a²
b=√(c²-a²)
b=√(2.5²-1.2²)
Therefore, option P is correct.
Answer: it is p
Step-by-step explanation:
answer but no links. quickly please
Answer:
1. 18
2.3 and 3/4
3.6 and 1/4
Step-by-step explanation:
3 by 6 equals 18 since 12 divided by 2 is 6
15 divided upon 4 is 3.75 or 3 3/4
50 divided by 8 equals 6.25 or 6 1/4