What is the missing length of this rectangle?
Three sides of a triangle are consecutive even integers. The
perimeter of the triangle is 48 in. Find the side lengths of the
triangle.
Answer:
The side lengths of the triangle are 14, 16, and 18.
Step-by-step explanation:
(x) + (x + 2) + (x + 4) = 48
3x + 6 = 48
3x = 42
x = 14
(14) = 14
(14 + 2) = 16
(14 + 4) = 18
The required lengths of side of triangle are 14 in, 16 in and 18 in.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
Given that,
Sides of a triangle are consecutive integers.
Also given that,
Perimeter of triangle is 48.
Let the sides of triangle are x, x+2 and x +4.
x + x + 2 + x + 4 = 48
3x = 48 - 6
3x = 42
x = 14
The length of the triangles
x + 2 = 14 + 2 = 16
x + 4 = 14 + 4 = 18
The side lengths of the triangle are 14, 16 and 18.
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Alyssa’s lemonade recipe calls for 9 lemons for every 2.5 gallons of water. Brian’s recipe calls for 12 lemons for every 4 gallons of water. Whose lemonade will require more water if they each use 36 lemons? . can you help me
Answer:
Alyssa’s lemonade recipe
Step-by-step explanation:
→ Work out how much lemons is needed per gallon for Alyssa’s lemonade recipe
9 lemons = 2.5 gallons
(÷ 2.5) = (÷ 2.5)
3.6 lemons = 1 gallon
→ Work out how much lemons is needed per gallon for Brian’s lemonade recipe
12 lemons = 4 gallons of water
(÷ 4) = (÷ 4)
3 lemons = 1 gallon of water
→ Now compare
Alyssa’s lemonade recipe ⇒ 3.6 lemons = 1 gallon
Brian’s lemonade recipe ⇒ 3 lemons = 1 gallon of water
Brian's lemonade recipe requires more water.
Alyssa uses 10 gallons of water for 36 lemons. Brian uses 12 gallons of water for 36 lemons. Therefore Brian's lemonade recipe requires more water.
359 divided by 19 can you tell me please
Answer:
18.8947368
Step-by-step explanation:
Answer: 18.8947368421
Step-by-step explanation:
PLSSS FAST
3x 300
x = 10
x = 100
X =
100
x = 297
Answer:
x=100
Step-by-step explanation:
PLEASE HELP ASAPPPPPP
Answer:
y = x
Step-by-step explanation:
The C's are both placed at 5
1. What are two other names
for XY?
Answer:
1.
(x,y)---Ordered Pair of a point in two dimensional plane
x=Abscissae
y=Ordinate
2.
xy--Two Dimensional Plane
or xy-Plane
3.
xy----Monomial , that is a single term having
Step-by-step explanation:
There is only one line that can pass through two points and a plane which has only two dimensions intersects with another plane along a one dimensional line
The figure shows a two lines and two planes
1. [tex]\overset{\longleftrightarrow}{XY}[/tex] shows the symbol of a line, and the capital letters X and Y,
The other names for [tex]\overset{\longleftrightarrow}{XY}[/tex] are;
i) Line XY [tex]\left(\overset{\longleftrightarrow}{XY} \right)[/tex]and ii) Line YX, [tex]\left(\overset{\longleftrightarrow}{YX} \right)[/tex]
Reason:
A line can be named by reversing the order of the letters
2. Opposite rays are two rays that extends in opposite directions but have the same endpoint
Opposite rays are; [tex]\overset{\longrightarrow}{RY}[/tex], and [tex]\overset{\longleftarrow}{RX}[/tex]
Reason:
The rays [tex]\overset{\longrightarrow}{RY}[/tex], and [tex]\overset{\longleftarrow}{RX}[/tex] have a common end point, R, and they move in opposite direction
3. The intersection of two planes is a line;
The intersection of the two planes is the line [tex]\mathbf{\overset{\longleftrightarrow}{RS}}[/tex]
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What is the simplified form of the following expression?
11[(92 – 52) = 22 + 8]
O A. 224.5
O B. 242
C. 51.3
OD. 110
Answer:
B. 242
Step-by-step explanation:
Answer:
242
Step-by-step explanation:
it's 9 squared and 5 square. 9^2 5^2
What is the simplified expression for the expression below?
-1(2x + 3) – 2(x - 1)
0 4x + 1
-4X-2
-4x+2
-4x - 1
I need help ASAP !!! Timed test
what’s the answer??jdbfnfnfnfn
Answer:
m = -k/7
Step-by-step explanation:
(to) Solve for m;
7m + k = 0. Given
- k -k Subtract K from both sides
--------------------
7m = -k K becomes negative since it was subtracted
_ _
7 7 Divide both sides by 7 to get m by itself
---------------------
m = -k/7 Answer
In the diagram shown below, Points M, N and P are collinear. If MN = 3x-9, NP = x+1 and MP= 6x-22, solve for the value of X (Answer notation: x=__)
Answer:
The value of x is 7
Step-by-step explanation:
M, N and P are collinear means they lie on the same line.
Mathematically;
MP = MN + NP
Thus;
6x-22 = 3x -9 + x + 1
6x-22 = 4x -8
6x -4x = -8 + 22
2x = 14
x = 14/2
x = 7
Carmen creates the ratio table below based on one 8-ounce serving of juice
How many total calories will 4 servings of juice contain?
A) 420
B) 520
C) 650
D) 780
Answer:
B
Step-by-step explanation:
The pattern is adding 130, or multiply the servings by 130.
so if 3x=390, you would divide both sides by 3 and get 130.
This means that x=130
Now plug in 4x=?
You would get 4*130=?
if you do the math through multiplication you would get 520
Answer:
B
Step-by-step explanation:
I got the unit test right on edg 2020
anyone can help me this thankyou
Answer:
s² - 225 = 0
Step-by-step explanation:
Area of square = side * side
s * s = 225
s² = 225
s² - 225 = 0
convert 86 meters to inches. ?
I'm so stuck rn because she says show how you got the answer never In a million years i thought i would never be doing medical math
Answer:
86 meters equals 3385.83 inches
825 centimeters equals 324.803 inches
Step-by-step explanation:
The formula is divide the length value by 2.54
Hope this helps!
9(3+c+4)
I need the answer ASAP please
Consider this polynomial, where a is an unknown real number.
Braulio
(a. correctly
b. incorrectly)
found the value of a because he
(a. correctly performed synthetic division
b. should’ve solved the equation a + 14 = -17
c. should have used -1 instead of 1
d. made a mistake in the fourth column of his work )
zahra
(a. incorrectly
b. correctly)
found the value of a because she
(a. incorrectly applied the powers to -1
b. should have substituted 1 instead of -1
c. should have solved the equation a + 18 = -17
d. correctly substituted and evaluated the polynomial)
Answer:
Step-by-step explanation:
Correct steps to find the value of 'a' should be,
Braulio's synthetic division should be,
-1 | 1 5 a -3 11
-1 -4 (4 - a) (a - 1)
1 4 (a - 4) (1 - a) (a + 10)
Here remainder is (a + 10).
So (a + 10) = 17 ⇒ a = 7
Braulio Incorrectly found a value of 'a' because he should have used (-1) instead of 1.
Zahra's calculation by remainder theorem should be,
p(x) = x⁴ + 5x³ + ax² - 3x + 11
p(-1) = (-1)⁴ + 5(-1)³ + a(-1)² - 3(-1) + 11
= 1 - 5 + a + 3 + 11
= (a + 10)
Since, remainder of the solution is 17,
(a + 10) = 17 ⇒ a = 7
Zahra incorrectly found the value of 'a' because she incorrectly solved the powers to (-1).
Answer: incorrectly, should have used -1 instead of 1
incorrectly, incorrectly applied the powers to -1
Step-by-step explanation:
find the value of x, I need help with that
Answer:
x = 62
Step-by-step explanation:
just do vertically opposite:
180-90-28 = 62
because they are vertically opposite, x=62
also could do:
90-28=62
What is the inverse of function f? f(x)=10/9r+11
[tex]f(x) = \frac{10}{9}x + 11 \\ [/tex]
So :
[tex]y = \frac{10}{9}x + 11 \\ [/tex]
Subtract the sides of the equation minus 11
[tex]y - 11 = \frac{10}{9}x \\ [/tex]
Multiply the sides of the equation by 9
[tex]9(y - 11) = 10x[/tex]
[tex]9y - 99 = 10x[/tex]
Divided the sides of the equation by 10
[tex] \frac{9y - 99}{10} = x \\ [/tex]
So :
[tex] {f}^{ - 1}(x) = \frac{9x - 99}{10} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
For a fundraiser, each donor package contains 333 food vouchers and 555 raffle tickets. Complete the double number line diagram to show the numbers of food vouchers and raffle tickets in 111, 222, 333, and 444 donor packages. Choose 1 answer: Choose 1 answer:
Answer:
It's A
Step-by-step explanation:
integers are natural numbers.
Answer: False
Step-by-step explanation:
Hope this helps
Write the inverse function,
f^-1 (x), for the function
f (x) = 1/3x-4
[tex]f(x) = \frac{1}{3}x - 4 \\ [/tex]
[tex]y = \frac{1}{3}x - 4 \\ [/tex]
Subtract the sides of the equation plus 4
[tex]y + 4 = \frac{1}{3}x \\ [/tex]
Multiply the sides of the equation by 3
[tex]3(y + 4) = x[/tex]
[tex]3y + 12 = x[/tex]
So ;
[tex] {f}^{ - 1}(x) = 3x + 12 [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
A 5-pack of popsicles costs $0.95. What is the unit price?
convert 7.2 • 10^-3 to standard form.
A) 72,000
B) 7,200
C) 0.0072
D) 0.00072
Answer:
i think the answer is C
Step-by-step explanation: Because if it has a subtract sign you move decimals to the left.
Select the word that best completes the sentence.
Maya is asked to solve the equation 2(3x + 6) = 3(x - 10). The table shows her steps.
Given
2(3x + 6) - 3(x - 10)
Step 1
6x + 12 = 3(x - 10)
Step 2 6x + 12 - 3x + 30
Step 3 3x + 12 - 30
Step 4 3x - 18
Step 5 x = 6
Complete the sentence.
Maya made a mistake
between _____ Step 1 and Step 2. A. Adding B. Distributing C. Dividing D. Subtracting
Answer:
B
Step-by-step explanation:
susuusjakaajjajajajaajajaj
Ratio of AC:CB???
.———.—————.
Answer:
2:3 I think
Step-by-step explanation:
Which statements are correct about the following expression? Select TWO that apply.
2x2 + 14x – 8
Answer:
12x
Step-by-step explanation:
2x2=4
4+14x-8
4-8+14
-4+14x=12x
can you help me on this problem
Answer:
21 com. 11 com. 15 com. 16 com. 29 prime. 13 prime.
Step-by-step explanation:
Answer:prime 29,11,13 composite 21,15,16
Step-by-step explanation:
Can anyone help me with this ?
Answer:
b i think
Step-by-step explanation:
ASAP! I'LL GIVE YOU 10 POINTS! Can someone help me with my math? Please, I am begging you! It was due yesterday and I'm confused.
1. A line goes through the points (0,7) and (1,9). Write the following equation forms:
Point-Slope Form (using the point (1,9):
Slope-Intercept Form:
Standard Form:
2. Write the following equation forms given that f(−3)=4 and f(−1)=−4 are true of the line: Slope-Intercept Form:
Standard Form:
So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2.
simplify.show work
(3·9-3²)-10
thanks please show work
Answer:
8
Step-by-step explanation:
We will use a variety of elementary arithmetic skills to evaluate this expression.
The order of operations goes as follows:
P-Parentheses
E-Exponents
M-Multiplication
D-Division
A-Addition
S-Subtraction
For M and D, they are to be done left to right. Same with A and S. Now, we will apply this to our expression.
[tex](3*9-3^2)-10\\(3*9-9)-10\\(27-9)-10\\18-10\\8[/tex]