Answer:
2(14x +15)
Hope it helps
......
Harry is half his brother's age. His brother is 28 years younger than their Aunt Jenny, who is five years older than Harry and his brother's dad. their dad is 31 years old. how old is Harry?
Answer:
4 years old
Step-by-step explanation:
Harry = H
Brother = B
Aunty = A
Dad = B
H = ½ B
B = A - 28
A = D + 5
D = 31
A = 31 + 5 = 36
B = 36 -28 = 8 years old
H = ½ . 8 = 4 years old
Mary wants to make a box she starts with a piece of cardboard whose length is 15cm and width is 10cm then she cuts them in congrats square with side 3cm at he four comes what is the area of the cardboard after she cuts the 4 comes
Answer:
V = 108 cm^3
the volume of the box is 108 cm^3
Corrected question;
Mary wants to make a box. She starts with a piece of cardboard whose length is 15 centimeters and width is 10 centimeters. Then she cuts 4 congruent squares with sides of 3 centimeters at the four corners and folded at the broken lines to make the box. What is the volume of the box?
Step-by-step explanation:
The volume of a box V is;
V = length × breadth × height
V = l×b×h ......1
Length l of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of length 15 cm is;
l = 15 - 2(3) = 9 cm
Breadth b of the box that would be formed after cutting squares with sides 3 cm from the edges of a cardboard of breadth 10 cm is;
b = 10 - 2(3) = 4 cm
Height of the box is the length of the squares cut;
h = 3 cm
Substituting the values into equation 1;
V = 9 × 4 × 3 cm^3
V = 108 cm^3
the volume of the box is 108 cm^3
Melanie is walking a path around a circular path to view all of the artwork painted on the cement edge. The circular fountain has a radius of 30 feet. If Melanie only walked around the fountain once, how far did she travel?
Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the .
Answer:
it is given , angle 2 , angle 3 , converse alternate exterior angles theorem
Step-by-step explanation:
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because it is given . We see that angle 2 is congruent to angle 3 by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem .
Answer:
✔ it is given
✔ angle 2
✔ angle 3
✔ converse alternate exterior angles theorem
Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b = 8 ? Explain your answer.Plz u will lots of point
c = 10
Step-by-step explanation:
We can find out the missing side of a right triangle by using the Pythagorean theorem.
The Pythagorean theorem is...
[tex]a^2+b^2=c^2[/tex]
We can even double check the first problem by plugging in everything into the theorem and solving, everything will come out correct. We can plug in the numbers from the second problem into the theorem and find c, also please note that the hypotenuse of a triangle will always be c. It doesn't matter which you put in for a or b, but since the problem gives us which one is a and which one is b, I'll just be plugging it in like that.
[tex]6^2+8^2=c^2[/tex]
[tex]36+64=c^2[/tex]
[tex]100=c^2[/tex]
A lot of people will stop here and think that the answer is 100, but you need to find the square root of 100, since c is squared. The square root of 100 is 10, so...
c = 10
5. Your dog is expecting a litter of puppies. The probability of a puppy being male or female is .50 or 50%. What is the probability that a litter of 4 puppies will contain 2 males and 2 females? Show your work
Answer:
not likely bbtguvtcettup
Two fair dice are renumbered using -2, -1, 0, 1, 2, 3 instead of the
usual numbers. The two dice are thrown in the normal way.
Draw a table to show the total score for each of the possible
outcomes
(b) How many ways are there of scoring 0 ?
Pls help ASAP
Answer:
6
Step-by-step explanation:
the number of occurs over 0
La figura MNPQ es un rombo. Si 2θ – Φ =60°. Calcula el valor de “x”. Dime los fundamentos y principios que utilizas.
Answer:
x = 30°
Step-by-step explanation:
Donde 2θ - Φ = 60 °, tenemos;
∠QMN = ∠QPM
Ф + ∠P / 2 + (180 - θ) = 180 (Suma de ángulos en un triángulo ΔQLP)
Por lo tanto, Ф + ∠P / 2 - θ = 0
Por lo tanto, ∠P / 2 = θ - Ф, también
270 ° + θ + x + ∠P / 2 = 360 (Suma de ángulos en un NOLP cuadrilátero) da
270 ° + θ + x + θ - Ф = 270 ° + 2 · θ - Ф + x = 360
Como 2 · θ - Ф = 60 °, tenemos;
270 ° + 60 + x = 360
x = 360 - 270 - 60 = 30 °
how do i simplify 7(1+6x)
Answer:
7+42x
Step-by-step explanation:
7(1+6x)
Distribute
7*1 + 7*6x
7+42x
Answer:
7 + 42x
Step-by-step explanation:
Use the distributive property
7 + 42x
Ive 5 - 6x = 8x + 17.
Answer:
-6/7
Step-by-step explanation:
5-6x=8x+17
-8x -8x
5-14x =17
-5 -5
-14x =12
/-14 /-14
12/-14 = -6/7
Does anyone know the answer ?
Answer:
3.75
Use the pythogorean theorm for sqrt(6.25^2 - 5^2) = x
Solve for m.
22m^2 + 7m - 2 = 0
Answer:
x= -1/2 and x=2/11
Step-by-step explanation:
Write the 7x as a difference. It'll make it easier to factor out. An example of this would be 11x-4x
Therefore, the equation would look like this: 22x^2 + 11x-4x -2 =0
Look at it as if there are two equations: 22x^2+11x and -4x-2
Factor out the greatest common factor, which is 11 from the first equation. The equation will then look like this: 11x(2x+1)
Take the GCF for the second equation as well (which is -2). The equation should then also look like this: (2x+1)
Use the numbers on the outside of each of the parenthesis to form its own equation (to factor it out). This will be 11x-2
Now we have factored! Since the parenthesis equations are the same, we know that that is also part of the equation, so:
(11x-2)(2x+1)
Solve each equation for x by equaling them both to zero
Please help! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
What is the slope of the line in the graph?
Answer:
-3/2
Step-by-step explanation:
Take any two points on the line and calculate the slope using the formula
(y2-y1) / (x2-x1) and you should get your slope.
Which graph shows a negative correlation?
Answer:
Option D
Step-by-step explanation:
because the data wasn't place on a table...
The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approximately equal?
Answer:
yes it's equal because, if -2 and 1.5 it's the same so it would be x=2.3
Step-by-step explanation:
2.4
Plz help help help plz plz plz
Answer:
NO
1,2,3,6
Step-by-step explanation:
THOSE ARE CORRECT
√8=2.8
Answer:
c
Step-by-step explanation:
Use the distributive property to remove the parentheses. Simplify your answer as much as possible.
Hosn is a picture framer. He is framing a picture that is 24 inches by 32 inches with a
frame that is 2.5 inches wide. What is the outer perimeter of the framed picture In yards, feet, and inches.
Answer: 122 sq. in.
Step-by-step explanation:
P = 2 (l + w)
P = 2 (34.5 + 26.5)
P = 2 x 61
P = 122 sq. in. = 0.847 sq ft = 0.0941 sq. yards
Perimeter is the sum of the side lengths of a shape. The outer perimeter of the framed picture is:
132 inches3.67 yard11 feetGiven that:
[tex]Length = 24in\\Width = 32in[/tex]
The width of the frame is given as:
[tex]Frame =2.5in[/tex]
So, the actual length and width of the framed picture is:
[tex]Length =24 + 2.5 + 2.5[/tex]
[tex]Length =29in[/tex]
[tex]Width = 32 + 2.5 + 2.5[/tex]
[tex]Width = 37in[/tex]
The outer perimeter (P) in inches is:
[tex]P= 2 \times (Length + Width)[/tex]
So, we have:
[tex]P= 2 \times (29in + 37in)[/tex]
[tex]P= 132in[/tex]
The perimeter in yard, is as follows:
[tex]P= \frac{132}{36}yd[/tex]
[tex]P = 3.67yd[/tex]
The perimeter in feet is as follows:
[tex]P= \frac{132}{12}ft[/tex]
[tex]P = 11ft[/tex]
Hence, the outer perimeter of the frame is 132 inches
Read more about perimeters at:
https://brainly.com/question/6465134
INEED YOUR HELP ASAP!!! For the expression 6 − y + 3, determine the coefficient for the variable term.
Answer:
[tex]-1[/tex]
Step-by-step explanation:
[tex]6 - y + 3[/tex]
[tex]-y+3+6[/tex]
[tex]-y+9[/tex]
A coefficient is a number that is used to multiply with a variable.
[tex]-y=-1y[/tex]
[tex]-1y+9[/tex]
What is the x-value of the vertex?
f(x)=(x+2)^2−1
x-value of the vertex:
Answer:
-2
Step-by-step explanation:
x-value of the vertex is -2.
What is vertex form of parabola?The vertex formula helps to find the vertex coordinates of a parabola. The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex] The vertex form of the parabola [tex]y=a(x - h)^{2} + k.[/tex]
Given
[tex]f(x)=(x+2)^{2}- 1[/tex]............................(1)
The vertex formula helps to find the vertex coordinates of a parabola.
The standard form of a parabola is [tex]y = ax^{2} + bx + c.[/tex]
The vertex form of the parabola [tex]y=a(x - h)^{2} + k.[/tex]
By comparing vertex form of parabola in equation 1
a = 1, h = -2 , k = -1
Hence, x-value of the vertex is -2
Learn more about vertex form of parabola here
https://brainly.com/question/20333425
#SPJ2
a circle has a radius of 48 millimetres. What is the arc intercepted by a central angle that measures 3pi/4 radians? express your answer in terms of pi
Answer:
3π/4
Step-by-step explanation:
Faith borrowed $2250 for home repairs. She paid back 24 payments of $132 each. How much did she pay in interest on the loan?
Explained answer please!
Answer:
0.17%
Step-by-step explanation:
if she paid 24 payments of $132, then as a total she paid 132 x 24 = 3168.
formula for simple interest = p x r x t divided by 100
difference : 918
so, 22500 x r x 24 divided by 100 = 918
22500 x r 24 = 91800
24r = 4.08
r = 4.08 divided by 24 = 0.17%
Please mark brainiest.
can you pls help me with this question it's in the bottom
Answer:
The two on the bottom, -20-(-10) and -10 + 10
Step-by-step explanation:
Both are the same, since -(-10) equals +10 because the two "-" turn into "+"
Both equal -10
the blueprints at addison circle is a sculpture that took 18,000 worker-hours to construct using over 410,000 pounds of steel. The piece of art is placed within a traffic circle with a diameter of 133 feet. find the area of the circle. Round to the nearest tenth of a square foot.
Answer:
Area = 13,898.5 ft^2
Step-by-step explanation:
Here, we are tasked with calculating the area of the circle given the value of the diameter.
Mathematically, the area of a circle is;
A = pi * d^2/4
Where d here is 133 feet
A = 22/7 * 133 * 133 * 1/4 = 13,898.5 ft^2
Need help with this question plz
Answer:
28.26 inches
Step-by-step explanation:
The diameter of the wheel is 3, so the circumference, or distance around the wheel, is 3.14 * 3 (pi times diameter)= 9.42. The wheel goes around 3 times, so 9.42*3=28.26
Helena lost her marbles. But then she found them and put them in 4 bags with mmm marbles in each bag. She had 3 marbles left over that didn't fit in the bags. How many marbles does Helena have in all? Write your answer as an expression.
Answer:
She had four marbles in four bags. 4m. She had three more marbles.
Step-by-step explanation:
4y+3
Answer:
4m+3
Step-by-step explanation:
I had this same answer in Kahn and got it right
what is the value of x?
6x+12= 3x-43
PLSS I NEED HELPP
Answer:
-55/3
Step-by-step explanation:
6x+12=3x-43
Subtract 3x from both sides:
3x+12=-43
Subtract 12 from both sides:
3x=-55
Divide both sides by 3:
x=-55/3
Hope this helps!
Answer:
x = -18.33 or x = -55/3 (fraction form)
Step-by-step explanation:
first, you need to get x on one side,
6x + 12 = 3x - 43
-3x -3x
3x + 12 = -43
then, get the x by itself.
3x + 12 = -43
-12 -12
3x = -55
divide both sides by three
3x/3 = -55/3
x = -18.33
and you have your answer!
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
Can someone explain how to do this?
Answer:
118,900,000,000,000 (1.189 × 10^14)
Step-by-step explanation:
First, assume that a cell is roughly a sphere with radius 10−³cm (. Let's compute the volume of the cell from the relation between radius and volume:
The volume V of a sphere with radius r is
V=(4π)/3 r³
where r³ and V have the same units. The volume of a cell with radius 10−³cm is therefore
V=4π³/3(10−³)3≈4.1888×10−⁹ cm³.
Next, we use the fact that the density of a cell is approximately the density of water which is 1g/cm³. Let's compute the mass of a cell from its volume and density using the definition of density:
density = mass/volume
which is equivalent to
mass = density×volume.
The mass of a cell is therefore
1 (g)/cm³×4.1888×10−⁹cm³ ≈ 4.1888×10−⁹g.
Now you know the mass of a cell, what other piece of information do you need to work out the number of cells in your body? Your mass in grams (if you know your weight in pounds, you can convert: 1 lb≈453.6 grams).
Number of cells=Your Mass/Mass of Cell
For example, the mass of a 175 lb is about 45,360 grams. We have that
79378g/4.1888×10−⁹g≈11.89 × 10^14
so there are approximately 1×10¹⁴=118,900,000,000,000 (1.189 × 10^14) cells in the human body!
