9514 1404 393
Answer:
smaller: -4larger: -1Step-by-step explanation:
Substituting the given variables into the word problem, we have two equations:
3x +3y = -15
6x -3y = -21
Adding these equations eliminates y:
9x = -36
x = -4 . . . . divide by 9
Using this in the first equation, we have ...
3(-4) +3y = -15
-4 +y = -5 . . . . . divide by 3
y = -1 . . . . . . . . . add 4
The smaller number is -4; the larger is -1.
- 8 3/4 devided by 2 1/6
Answer:
-105/26 or -4 1/26−4.03846153846 …Step-by-step explanation:
Depending on what answer
you need, the decimal is −4.03846153846,
the improper fraction is -105/26 and the mixed number is -4 1/26
Hope this helps! <3
What is the perimeter of the building foundation uncovered by the archaeologists?
Answer:
Wall of Jericho
Step-by-step explanation:
The Wall of Jericho was a Pre-Pottery Neolithic A (PPNA) defensive or flood protection wall suggested to date to approximately 8000 BC.[1] If interpreted as an "urban fortification", the Wall of Jericho is the oldest city wall discovered by archaeologists anywhere in the world.[2] It is built of undressed stones and is located at the archaeological mound known as Tell es-Sultan, in the city of Jericho on the West Bank.
The topic of this article is the unique Neolithic-age stone wall, the earliest one of its kind. Other walls, such as contemporary house walls, or later, Bronze and Iron Age city walls, are only mentioned for the sake of context.
Is it possible to partition an arbitrary right triangle into isosceles triangles? Justify your answer.
please answer asap :)
Answer:
yes
Step-by-step explanation:
An arbitrary right triangle can be partitioned into isosceles triangle by drawing a median from the right angle to the hypotenuse.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
Let's take a right angled triangle ΔABC.
Let C be the right angle in this triangle.
Then AB will be the longest side of the triangle, which is the hypotenuse.
Median of a triangle is the line segment joining the vertex to the midpoint of the opposite side of the triangle.
Suppose we draw a median from C to the midpoint of AB intersecting AB at a point P.
Then there are two triangles formed ΔAPC and ΔBPC.
AP = BP since P is the midpoint of AB.
PC = PC is the common side for both triangles.
So ΔAPC and ΔBPC are isosceles triangles, because two sides are equal.
Hence any right triangle can be partitioned into two isosceles triangles this way.
Learn more about Right Angled Triangles here :
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diride 660cm in the ratio of 5:6
Answer:
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Step-by-step explanation:
Equations
We are required to divide 660 cm in the ratio 5:6, or 5/6.
Let's call:
x = first part of 660
660 - x = second part of 660
The ratio between them is 5/6.
[tex]\displaystyle \frac{x}{660-x}=\frac{5}{6}[/tex]
The above equation will result in x as the smaller part of 660.
Multiply by (660-x)*6 to eliminate denominators:
[tex]\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}[/tex]
Operating:
[tex]6x=(660-x)*5[/tex]
[tex]6x=3300-5x[/tex]
Simplifying:
[tex]6x+5x=3300[/tex]
[tex]11x=3300[/tex]
Solving:
[tex]\displaystyle x=\frac{3300}{11}=300[/tex]
The other part is 660 - 300 = 360
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Select the THREE solutions that are equivalent to the expression 4(n + 1):
a. 4n + 1
b. n + n + n +n +1 +1 +1 +1
c. 2n + 2n + 4
d. 2n + n + n +1
e. 4n + 4
f. 4 (n + 4)
Answer:
The answer would be b, c, e
Answer:
b,c,e
Step-by-step explanation:
4(n+1)
4n+4
n+n+n+n=4n
1+1+1+1=4
4n+4
2n+2n=4n
4n+4
4n+4
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer: A. The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Algebra Find the missing number.
12. 34 – 8 = 35 -
n 5
Topic 6 Lesson 5
68% of johns school are boys. There are 180 more boys than girls. How many students are there in johns school
Answer:
500 students in the school
Step-by-step explanation:
100 - 68% = 32%
boys percentage 68%
girls percentage 32%
difference 68 - 32 = 36% = 180
36 ÷ 18 = 2 × 50 = 100
180 ÷ 18 = 10 × 50 = 500
Answer:
500 students.
Step-by-step explanation:
This a system of equations you could write where t is the total amount of students in the school, b is the number of boys, and g is the number of girls:
0.68t=b
b+g=t
180+g=b
0.68t+g=t
g=0.32t
180+g=b
180+0.32t=0.68t
180=0.36t
t=500
78 billion scientific notation
Answer:
78 x 10^9
Step-by-step explanation:
Hope this helps!
Answer:
7.8 x
Step-by-step explanation:
Scientific notations are being used to write very large or very small numbers. In line with this, the other details regarding 78 million in scientific notation are indicated above.
Find the area, in square units, of ABC plotted below.
A(0,7)
B(7,-2)
D(2, -3)
C(-3,-4)
The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The coordinates of the points A, B, C, and D in the given figure are:
A(0, 7)B( 7,-2)C(-3, -4)D(2, -3)Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.
Thus, we get:
Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]
Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]
If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.
Thus, as we know know that:
Height's measurement of ABC = |AD|= [tex]\sqrt{130} \: \rm units[/tex]Base length of ABC = |BC| = [tex]\sqrt{136} \: \rm units[/tex]Thus, the area of the triangle ABC is:
[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]
Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.
Learn more about distance between two points here:
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What are all the factors of 54? O 1,2, 6, 9, 26, 54 O 1,2, 6, 9, 27, 54 O 1, 2, 3, 6, 9, 18, 26, 54 O1,2, 3, 6, 9, 18, 27, 54.
┈┈┈┈▕▔╱▔▔▔━▁┈┈┈┈
┈┈┈▕▔╱╱╱┈╲▂▔▔╲┈
┈┈▕▔╱╱╱╱▂▂▂▂▂▂▏
┈▕▔╱▕▕╱╱╱┈▽▽▽▽▽┈
▕▔╱┊┈╲╲╲╲▂△△△△┈┈
▔╱┊┈╱▕╲▂▂▂▂▂▂╱┈┈
╱┊┈╱┉▕┉┋╲┈
Answer:
1 2 3 6 9 18 27 and 54 I hoped this helps
Answer:
The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
Step-by-step explanation:
20x+x-2=4 rational equation
Answer:
x = 2/7
Step-by-step explanation:
Step 1: Write equation
20x + x - 2 = 4
Step 2: Solve for x
Combine like terms: 21x - 2 = 4Add 2 to both sides: 21x = 6Divide both sides by 21: x = 6/21Simplify: x = 2/7Step 3: Check
Plug in x to verify it's a solution.
20(2/7) + 2/7 - 2 = 4
40/7 + 2/7 - 2 = 4
42/7 - 2 = 4
6 - 2 = 4
4 = 4
Answer:
x = 2/7
Step-by-step explanation:
Collect like terms:
20x + x = 21x ----> 21x - 2= 4
Move the constant to the right hand side and change the sign of the constant:
21x = 4 + 2
Calculate:
21x = 4 + 2 ---> 21x = 6
Divide both sides by 21:
21/21 and 6/21 = 2/7
Solution:
x = 2/7 or x= 0.285714
Which graph indicates decreasing speed?
A. Graph c
B Graph A
c graph F
d graph
If f(x) and its inverse function, f'(x), are both plotted on the same coordinate plane, what is their point of
intersection?
Answer:
The plot coordinates are (3,3).
Step-by-step explanation:
Given:
A function f(x) and its inverse is f-1(x)
To find :
The plot of the coordinates for the intersection.
Solution:
Now we know that inverse function is changing the y=f(x) and then
changing to x to y and y to x
So given function is f(x)
Inverse function is y,
But value of inverse function is f-1(x)
So y=f(x)=f-1(x)
Therefore it becomes
y=x
Hence the value is y=x coordinates
Angelina put 3,000 milliliters of water in a tub that alredy has 5 liters of water in it. Jack says the tub now has 35 liters of water in it Angelina says he is wrong carry out your steps explain who is correct and why helpppppp please
Answer:
jack is wrong
Step-by-step explanation:
Jack is wrong because 3,000 milliliters is equal to 3 liters. If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.
hi Google what is 3.6 * 10
Answer:
3.6 x 10 is 36
3.6 x 100 is 360 l
3.6 x 1000 is 3600
Plz help Plz help
Ella played a math game and had the five cards shown.
7 0 -4 -10
Her score was the sum of the numbers on these five cards. What was Ella’s score?
3
⊝
23
−5
⊝
Not here
Answer:
-7 (Not here)
Step-by-step explanation:
1. A negative plus a negative equals a negative/ a negative minus a positive equals a negative so: -10 -4 = -14
2. -14 + 7 = -7 so your answer is -7 and it's not an answer choice so you would select "Not here"
4
5
÷ 1
10
= ?
To solve this problem, ask the question
The quotient is .
Answer:
4.5
Step-by-step explanation:
I did 45/1 I and it's 45 then 45/10
HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!
How do you know what row of Pascal's Triangle to use to expand a binomial?
Answer:
I think you use the row that had the same number of terms as the exponent.
Step-by-step explanation:
What is the ratio of the area ABC to the area of ABD?
Answer:
t is 9/16
Step-by-step explanation:
Answer:
9/16
Step-by-step explanation:
what's 22.95 ÷ 13.5
Answer:
17
Step-by-step explanation:
step-by-step explanation
One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
Answer:
1.2in
Step-by-step explanation:
Answer:
(1) 1.2 inches
Please help! I will give brainliest
Answer:
3
Step-by-step explanation:
as x is bigger than 0in which x is maximum and 0 is minumum
What did I do wrong?
Answer: For the last answer its actually less than
Step-by-step explanation: Instead of you put less than you put Its less than or equal to which is wrong.
Turn - Find the value of e
(4w - 6)
+
Find the value of each variable
What’s 1.2983 rounded to the nearest hundredth
Answer:
1.30 :)
All you have to do is see if the number on your left is greater than 5 or not if it’s is round up 1 if not it stays the same !
Hope this helped !!!
Step-by-step explanation:
Greatest common factor of 81
Answer:
81
Step-by-step explanation:
I just looked it up :)
Answer:
27
Step-by-step explanation:
Consider the hexagon ABCDEF what is the value of X? What is the measure of angle A? what is the measure of angle BCG?
Answer:
x = 52.5
<A = 152.5°
<BCG = 45°
Step-by-step Explanation:
Sum of interior angles of n-sided polygon = (n - 2)180
Sum of interior angles of hexagon = (6 - 2)180 = 4(180) = 720°
Therefore, sum of all the interior angles in the given hexagon = 720.
Thus:
3x - 5 + 2x + 140 + 135 + 2x + 30 + x = 720
Solve for x. Add like terms.
8x + 300 = 720
Subtract 300 from both sides
8x = 720 - 300
8x = 420
Divide both sides by 8
8x/8 = 420/8
x = 52.5
<A = (3x - 5)
Plug in the value of x
<A = 3(52.5) - 5 = 152.5°
<BCG = 180 - (2x + 30) (angles on a straight line)
Plug in the value of x
<BCG = 180 - (2(52.5) + 30)
<BCG = 180 - (105 + 30)
<BCG = 180 - 135
<BCG = 45°
(6+4)(-12)
QUICKLYYYYY I NEED TO KNOW WHAT THE ANSWER IS!
Answer:
-120
Step-by-step explanation:
Answer:
-120
Step-by-step explanation:
First solve the parenthesis which leaves you with the equation.
10 × -12
Multiply that and you get -120
If you want me to explain it more lemme know! Hopefully this helps and have a great day!