Answer:
Question 1: 71 and 72
Question 2: Child 1: 60 lbs, Child 2: 15 lbs
Step-by-step explanation:
Question 1:
Consecutive numbers are 2 numbers right next to each other.
You know the numbers will have to be double digits number.
71 and 72 are consecutive numbers. The sum of them is 143.
71+72=143
Question 2:
For this problem, we can use system of equations to find the mass of the 2 children. Let's say x is the first child and y is the second child.
Equation 1
x+y=75
This equation comes from the combined mass of the 2 children.
Equation 2
x=4y
This equation comes from the first child being 4 times the mass of the second child.
Since we know the value of x, we can use substitution to find y.
4y+y=75
5y=75
y=15
Now that we know the second child is 15 lbs, we can plug this into any of the 2 equations to find the mass of the first child.
x=4(15)
x=60
Triangle A C D is shown. Point B is near the center of the triangle. Angle A C D is bisected by line segment C B. Lines are drawn from point B to points A and D to form 3 triangles within the larger triangle. Angle C B D is 125 degrees. The length of line segment A C is 52 centimeters and the length of line segment B D is 29 centimeters. If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options. m∠ABC = 125° and AB ≅ DB ΔACD is isosceles with base AD ΔABD is isosceles with base AD CD = 52 cm AB = 29 cm
Answer:
it's A B D i don't know why the other person couldn't have just said that and make it look confusing
Answer:
A< B< D
Step-by-step explanation:
THIS QUESTION GOT ME STRESSIN HELPPP A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
14 and 10
Step-by-step explanation:
14x5=70
10x3=30
100=70+30
what we will call the complete path of the circle
Answer:
True.
Step-by-step explanation:
The circumference is the perimeter of a circle. The complete path around the circle is called the circumference.
Answer:
True
The distance around the circle makes up the circumference.
What is the value of the product (3 – 2i)(3 + 2i)?
timed test please help me
Answer:
the answer is 9-4i
Step-by-step explanation:
multiply
A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 10 faculty members and 11 students eligible to serve on the committee. In how many ways can the committee be formed?
Answer:
14,850 ways
Step-by-step explanation:
Since the order does not matter, the number of possible committees is given by the product of the combination of picking 2 out of 10 faculty members and the combination of picking 4 out of 11 students:
[tex]n= \frac{10!}{(10-2)!2!}* \frac{11!}{(11-4)!4!}\\n=\frac{10*9}{2}*\frac{11*10*9*8}{4*3*2*1}\\n=14,850[/tex]
The committee can be formed in 14,850 ways
Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4.2^8
Answer:
You can't use this rule because the two exponents have different bases. In order to use this rule the two exponents must have the same base.
Answer:
It is because both expressions have different base value. For this question, the bases are 3 and 2 where the product rule cannot be applied. Product rule can only be used when both expressions have the same bases.
Length of DE is ___
units.
Length of DB is ___
units.
Measure of angle FED is ___
degrees.
Answer:
Length of DE = 7.5 units
Length of DB = 9.2 units
Measure of ∠FED = 82°
Step-by-step explanation:
In ΔABC,
AD ≅ BD and CE ≅ BE [Given]
By the theorem of mid-segments,
DE = [tex]\frac{1}{2}(AC)[/tex]
= [tex]\frac{1}{2}(15)[/tex]
DE = 7.5 units
Since AD ≅ FE ≅ 9.2 [By midpoint theorem in ΔACB]
Therefore, length of DB = 9.2 units
[Although it's not given in the question, but we assume FE║AB]
Since FE║AB and DE is a transverse,
Therefore, m(∠FED) ≅ m(∠BDE) ≅ 82° [Interior alternate angles]
Write the polynomial which represents the perimeter of a triangle whose sides are represented
by 2x² + 3x, 5x²-1, and 3x² + 7x-1.
Answer:
The polynomial is 10x^2 + 10x -2
Step-by-step explanation:
To get the polynomial which represents the perimeter, what we need to do is to add up all
these values. We use the formula for finding the perimeter of a triangle and that involves adding up all the three sides. That would be;
2x^2 + 3x + 5x^2 -1 + 3x^2 + 7x -1
10x^2 + 3x -1 + 7x -1
10x^2 + 10x -2
Juana is making a triangular hat for a puppet. If two of the three angles of the hat both measure 30 . what is the measure of the third angle?
Answer:
180 that boy is soo wrong
Step-by-step explanation:
Question 14 (1 point)
John is collecting vintage baseball cards and has about 25 he got from his dad. He is collecting
about 2 cards per month. Write a function, C(x), that represents how many cards John has
after x months.
N
Answer:
C(x) = 25 + 2x
Step-by-step explanation:
He already has 25 cards.
He is collecting 2 cards per month. In x months, he will have collected:
2 * x = 2x cards
That means that the number of cards he will have after x months will be the sum of the cards he already has and the cards he collects per month:
C(x) = 25 + 2x
WILL GIVE BRAINLIEST
Answer:
3
Step-by-step explanation:
These are similar triangle
We can use ratios to solve
12 12+4
------ = ----------
9 9+DC
Using cross products
12( 9+DC) = 9*(12+4)
12 (9+DC) = 9*16
Divide each side by 12
12/12 (9+DC) = 9*16/12
9+DC = 12
Subtract 9 from each side
9+DC-9 =12-9
DC =3
Answer:
3 units
Step-by-step explanation:
We can see that triangle ADE is similar to triangle ACB.
Therefore the ratios of the lengths of their sides must be equal.
We can write AD/AC = AE/AB
we are given AD = 9, AE = 12 and AB = 12 + 4 = 16
Substituting the above values into the equation:
AD/AC = AE/AB
9 / AC = 12/16 (rearranging)
(AC)(12) = (9)(16)
AC = (9)(16)/12
AC = 12
We can also see that
DC = AC - AD
DC = 12 - 9
DC = 3 units
Help!
Suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated past the biologist on the trail. Each minute, the number of wildebeests per minute increased by 3.
How many wildebeests migrated past the biologist during the first 20 minutes?
Enter your answer in the box.
Step-by-step explanation:
first minute = 24 wildebeest
by 20 min = (20 × 3) + 24 = 84 wildebeest
four rational numbers between 2/3 and 4/5
Answer:
5/7, 11/15, 23/31, 47/63
Step-by-step explanation:
any number you can write into a fraction between those numbers
Henry places £6000 in an account which pays 4.6% compound interest each year. Calculate the amount in his account after 2 years.
Answer:
6564.696
Step-by-step explanation:
A=6,000×(1+0.046)^(2)
A=6,564.696
How much is one gram into ounces?
Answer:
1 gram is 0.035274 in ounces
Answer:
It would be about 0.035274
Step-by-step explanation:
For an approximate result, divide the mass value by 28.35
Hope this helps
Olivia is sorting through the coins in her bank to determine how
much money she has. She sees that she has $3.25 in quarters.
The equation 0.25x $3.25 can be used to figure out how
many quarters are in Olivia's bank. Using substitution, Olivia
Answer:
It is 13 quarters.
Step-by-step explanation:
0.25x=3.25
Joe needs to replace the carpet in his living room and hallway with laminate flooring. A floor plan is shown below. Can you help him to find the total area of floor that needs to be covered?
*diagram of floor plan is attached below
Answer:
30m²
Step-by-step Explanation:
From the floor plan shown in the attached diagram, the hall way and the living room both takes the shape of a rectangle.
To find the total area of floor to be covered, we can use the formula of the area of a rectangle to find the area of the hall way + the area of the living room.
Area of rectangle = L*B
For the hall way, L = 3.2m, B = 1.5m
Area of hall way = 3.2*1.5 = 4.8m²
For the living room, L = 6m, B = 4.2m
Area of Living room = 6*4.2 = 25.2m²
Therefore, area of floor to be covered = 4.8m² + 25.2m² = 30m²
Answer:
30m²
Step-by-step explanation:
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had less than two absences during the first quarter?
Answer:
68
ignore the rest of this i need 20 charecters
Answer:
68%
Step-by-step explanation:
(14)+(-11) plz help idk what it is
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
(14)+(-11)=3
who can solve ? 9y < -3
Answer:
y< -1/3
Step-by-step explanation:
To solve the inequality, we must get the variable, y, by itself.
9y< -3
Perform the opposite of what is being done to the equation, to both sides.
y is being multiplied by 9. The opposite of multiplication is division. Therefore, divide both sides by 9.
9y/9 < -3/9
y< -3/9
-3/9 can be reduced. 3 can be divided evenly into both the numerator (top number) and denominator (bottom number).
y< (-3/3) / (9/3)
y< -1/3
What change(s) should Sylvia make to the equation to find the value of t in the above scenario?
Answer:
Option (D).
Step-by-step explanation:
Initial population of the deer [tex]P_{0}[/tex] = 4800
Decrease in the population of the deer after every 8 years = [tex]\frac{1}{2}\times (\text{Initial population})[/tex]
Decrease in population is an exponential process, so the expression representing population will be,
[tex]P_{t}=P_{0}(1-r)^x[/tex]
Where [tex]P_{t}[/tex] is the population after 'x' slots of 8 years.
r = fraction of decrease in the population
x = [tex]\frac{\text{Number of years}}{8}[/tex]
By substituting the values of r and x in the expression,
[tex]P_{t}=P_{0}(1-\frac{1}{2})^{\frac{t}{8}}[/tex]
[tex]P_{t}=4800(\frac{1}{2})^{\frac{t}{8}}[/tex]
Therefore, Sylvia should do few corrections in her expression.
(8) should be replaced by ([tex]\frac{1}{2}[/tex]) and [tex]\frac{t}{2}[/tex] should be replaced by [tex]\frac{t}{8}[/tex].
Option D. will be the answer.
PLEASE HELP WILL MARK BRAINLIEST
Find the area of the right triangle.
Answer:
Step-by-step explanation:
This right triangle is on a grid.
The area is the height * base/2
The base is on a line segment parallel to the x axis which is 6 squares.
The height is on a line segment parallel to the y axis which is 2 squares
The area is the height * base /2
Area = 6 * 2 /2 = 12/2 = 6 square units.
What does y=? Also if you cant read that bright red number its 60
Answer:
y = 13.9
Step-by-step explanation:
The triangle is a 30-60-90 triangle, so x is 16 (double 8). Use the pythagorean theorum to find y. 256 - 64 =192. [tex]\sqrt{192}[/tex] is about 13.9
Find the solution of ×\2-1/5=×\3+1/4 please help me with this
Answer:
[tex]x=\frac{27}{10}[/tex]
Step-by-step explanation:
Assuming that the beginning equation is [tex]\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}[/tex]
First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator
[tex]\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}[/tex]
Now, we can multiply each side by 60, which will remove the fractions
[tex]30x-12=20x+15[/tex]
Now we can add 12 to each side
[tex]30x=20x+27[/tex]
Now subtract 20x from each side
[tex]10x=27[/tex]
And lastly, divide each side by 10
[tex]x=\frac{27}{10}[/tex]
A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a constant speed of 1.2u m/s for 15 seconds. Assuming that the acceleration is constant, express the total distance, D in metres, traveled by the motorcycle.
Answer:
Step-by-step explanation:
A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds
V = U + at
1.2u = u + a*10
=> a = 0.02u
S= ut + (1/2)at²
Distance in 1st 10 secs
S = u(10) + (1/2)(0.02)(10)²
=> S = 10u + u
=> S = 11u m
Constant speed 1.2u for 15 secs
S = 1.2u * 15
=> S = 18u m
Total Distance Covered d = 11u + 18u = 29u m
Solve for x in the diagram below.
3x
75°
T =
Answer:
x=35
Step-by-step explanation:
The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.
3x+75=180
We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.
3x+75-75=180-75
3x=180-75
3x=105
x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.
3x/3=105/3
x=105/3
x=35
x is equal to 35.
I need the answers immediately hw is due in 5 mins!!!!!!!
Which is NOT a solution of the inequality: 5 - 2x ≥ -3 ? *
0
2
4
5
Answer: 5
Step-by-step explanation:
rearrange to make x the subject a= 4x/t -p
Answer:
x = [tex]\frac{t(a+p)}{4}[/tex]
Step-by-step explanation:
Given
a = [tex]\frac{4x}{t}[/tex] - p ( isolate term in x by adding p to both sides )
a + p = [tex]\frac{4x}{t}[/tex] ( multiply both sides by t )
t(a + p) = 4x ( divide both sides by 4 )
[tex]\frac{t(a+p)}{4}[/tex] = x
Jan lost 22 points on her exam. She got 11 questions wrong.
What integer represents the point value of each wrong answer?
Answer:
2
Step-by-step explanation:
22/11=2
Let f(x) = 2x, g(x) = x2 + 2, and h(x) = 4x +3. Find the composite function.
(F*g)
Answer:
(f * g)(x) = 2(x²) + 4
Step-by-step explanation:
Explanation:-
let f(x) = 2 x, g(x) = x² + 2, and h(x) = 4 x +3
(f * g)(x) = f(g(x)) = f(x² + 2)
= 2(x² + 2)
= 2(x²) + 4
final answer:-
(f * g)(x) = 2(x²) + 4