Answer:
x = 35
Step-by-step explanation:
Supplementary angles add up to 180°.
if (3x + 15)° and 60° are supplementary, then
3x + 15 + 60 = 180
now, you just have to solve the equation.
3x + 75 = 180
3x = 105
x = 35
Check
3*35 + 15 + 60 = 180
105 + 15 + 60 = 180
180 = 180
Which inequality is NOT true if y = -5?
A. 2y - 10 > 13
B. -14 + 6y < 8
C. 3y + 9 > -15
D. -24 - 4y < -3
Answer:
A
Step-by-step explanation:
2(-5) - 10 > 13
-10 - 10 > 13
-20 is not greater than 13.
Answer:
A
Step-by-step explanation:
5+2(2x-3)+8x = -5x +2
5 -2(2x-3)+8x = -5x +2
show how you did it
Answer:
answer to top question: x = 3/17
answer to bottom question: x = -1
Step-by-step explanation:
distribute first
5 + 4x - 6 + 8x = -5x + 2
combine like terms
-1 + 12x = -5x + 2
12x = -5x + 3
17x = 3
x = 3/17
5 - 4x + 6 + 8x = -5x + 2
4x + 11 = -5x + 2
9x + 11 = 2
9x = -9
x = -1
The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.
Given:
The LCM of two numbers is 14 times their HCF.
The sum of LCM and HCF is 600.
One number is 280.
To find:
The other number.
Solution:
Let HCF of two numbers be x.
The LCM of two numbers is 14 times their HCF.
LCM = 14x
The sum of LCM and HCF is 600.
[tex]14x+x=600[/tex]
[tex]15x=600[/tex]
[tex]x=\dfrac{600}{15}[/tex]
[tex]x=40[/tex]
So, HCF = 40 and the LCM is
[tex]LCM=14(40)[/tex]
[tex]LCM=560[/tex]
We know that, if a and b are two numbers, then
[tex]a\times b=LCM(a,b)\times HCF(a,b)[/tex]
One number is 280.
[tex]280\times b=560\times 40[/tex]
[tex]b=\dfrac{560\times 40}{280}[/tex]
[tex]b=2\times 40[/tex]
[tex]b=80[/tex]
Therefore, the other number is 80.
can someone plz help me?
Answer: x = 2
Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2
answer
1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.
-16+ x= -15
Need this answer
Answer:
x=1
Step-by-step explanation:
Add
16
to both sides of the equation.x=−15+16 Add −15 and 16.x=1
Answer:
Step-by-step explanation:
-16 + x = - 15
Add 16 to both sides
-16 + 16 + x = -15 + 16
x = 1
Ray predicted he would score 18 points during a basketball game. He only scored 12 points. What is his percent error
Answer:
hey read this no quema cuh
Step-by-step explanation:
Answer:
His percentage error is 33%.
Step-by-step explanation:
18 - 12 = 6
6 is one-third of 18, which is equivalent to 33%.
Taut learns that when she spends $65.00 on supplies she is able to grow 162.5 pounds of tomatoes. How many dollars is Taut spending per pound of tomatoes grown?
Answer: $0.4 is spent by Taut per pound of tomatoes grown
Step-by-step explanation:
Given : On spending $65.00 , tomatoes grown by Taut = 162.5 pounds
To find : Taut expenditure per pound of tomatoes grown = ?
As it is given that :
162.5 pounds of tomatoes are grown by spending = $65.00
Thus 1 pound of tomatoes are grown by spending = [tex]\frac{65.00}{162.5}\times 1=0.4[/tex]
Thus $0.4 is spent by Taut per pound of tomatoes grown
What is the volume of this rectangular prism?
Answer:
1cm³
Step-by-step explanation:
You do not need a calculator for this.
The formula for the volume of a rectangular prism is:
Length × Width × Height = Volume
If we substitute our numbers in:
5/4 × 4/3 × 3/5 = 1cm³
All you need to do is multiply across.
5 × 4 × 3 = 60
4 × 3 × 5 = 60
The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.
60/60
find the value of y .
show work
Given:
The figure of a right angle triangle.
To find:
The value of y.
Solution:
If a right angle triangle,
[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]
In the given right triangle,
[tex]\cos (30^\circ)=\dfrac{4\sqrt{3}}{y}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{4\sqrt{3}}{y}[/tex]
[tex]\sqrt{3}\times y=2\times 4\sqrt{3}[/tex]
[tex]\sqrt{3}\times y=8\sqrt{3}[/tex]
Isolate the y variable.
[tex]y=\dfrac{8\sqrt{3}}{\sqrt{3}}[/tex]
[tex]y=8[/tex]
Therefore, the value of y is 8.
which number line shows the solution to the inequality
5x + 3 ≥ - 17?
Answer:
C.
Step-by-step explanation:
x=-y+3,3x-2y=-1 use substitution to solve the equation
Answer:
{x,y} = {1,2} I believe <3
Step-by-step explanation:
Answer:
3x - 2y = -1
[2] x + y = 3
Step-by-step explanation:
whoever guesses my birth month first gets the brainliest
PLEASE HELP ASAP (8th grade question)
Answer:
m∠2=35°, m∠1=35°
Step-by-step explanation:
∠2 and ∠4 equal 180° when added, so 180-145=35
all angles of a triangle equal 180°, so 180-∠3-∠2=∠1
180-110-35= 35
If the total labor cost is $865,000 and $78,000 is for parking attendants, what percentage of the yearly labor cost is for the parking staff?( round to the nearest percent.)
Answer:
9%
Step-by-step explanation:
The percentage of the yearly labour cost for the parking staff is 9%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that if the total labour cost is $865,000 and $78,000 is for parking attendants.
The percentage of the yearly labour cost for the parking staff is calculated below:-
Percentage = 78000 / 865000
Percentage = 0.09 x 100
Percentage = 9%
Therefore, the percentage of the yearly labour cost for the parking staff is 9%.
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Solve.
show all work
-2x+10=20
Answer:
x= -5
Step-by-step explanation:
-2x+10=20
-2x+10-10=20-10
-2x=10
-2x/-2=10/-2
x = -5
Round to the hundredths place.
$4.56 for 18 cookies
Noah was hired for $28.751.00 per year. How
much does Noah receive per week?
Answer:
$552.90
Step-by-step explanation:
There are 52 weeks in a year
28,751/52= 552.9038462
since this is money you just round
Jenny bought gas for her car gas cost $3.45 per gallon Jenny bought 12.5 gallons what was the total of Jenny's gas
Answer: $43.13
Step-by-step explanation:
The cost of a gallon of gasoline is $3.45.
Jenny bought 12.5 gallons of said gasoline. Her total cost is therefore:
= Cost of a gallon * number of gallons purchased
= 3.45 * 12.5
= $43.13
Answer:
43.14
Step-by-step explanation:
What is the point on the unit circle for the angle below? Help Res 60° (1.0) 2 ?] 2 ) 9 2 Enter
Answer:
1 and 3
Step-by-step explanation:
Answer:
The answer is
[tex] \frac{1}{2} \: and \: \frac{ \sqrt{2} }{2} [/tex]
Step-by-step explanation:
Let The point (X, Y)
Since half of the diameter is equal to 1
Then
[tex] {x}^{2} + {y}^{2} = 1[/tex]
Why is the measurement of angle is equal to 60, this triangle was equal
Then
[tex] {(x - 1)}^{2} + {y}^{2} = 1[/tex]
By comparing the equals together
[tex] {x}^{2} = {(x - 1)}^{2} \\ {x}^{2} = {x}^{2} - 2x + 1 \\ 2x = 1 \\ x = \frac{1}{2} \\ Compensation \: in \: any \: equation \\ then \: y = \frac{ \sqrt{2} }{2} [/tex]
40 POINTS!!!!!!!! NEED HELP
Figure ABCD below is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answer:
Hello! I just did the test this is on
Step-by-step explanation:
Part A-
reflect the shape across x
then move 1 to the right and 4 units down
Part B- Yes
It is still the same shape as well as the same size
pls Help I hate math
Answer:
C
Step-by-step explanation:
Remark
There are three rectangles all the same size.
There are two triangles both the same size
Triangles.
Givens
b = 7.5 cm
h = 6.5
Solution
Area 1 triangle = 1/2 * 7.5 * 6.5
Area 1 triangle = 24.375
Area 2 triangles = 2*24.375 = 48.75
Rectangles
Givens
L = 13.5
w = 7.5
Solution
Area one rectangle = L*w
Area one rectangle = 13.5*7.5
Area one rectangle = 101.25
Area three rectangles = 3*101.25
Area three rectangles = 303.75 Add
Total Area = 352.5
In QRS q=9.6 inches r=9.9 inches and S=92 Find the length of a to the nearest 10th of an inch
Answer:
14
Step-by-step explanation:
delta math gave me the answer
The length of a to the nearest 10th of an inch is 13.6 inches.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
In ΔQRS q=9.6 inches r=9.9 inches and S=92.
So, s² = q² + r² - 2qr cos s
s² = 9.6² + 9.9² + 2(9.6)(9.9) cos 92.
s² = 190.71 + 190.08 x (-0.035)
s² = 183.52
s = 13.55
s = 13.6 inches
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PLEASE HELP :)))
triangle similarity theorem
Answer:
9i
Step-by-step explanation
The formula A = lw gives the area A of a rectangle with length l and width w. What is the area in square feet of a United States flag with a length of 13 feet and a width of 6 feet.
The area is ___ square feet.
Answer:
78
Step-by-step explanation:
You just plug in 13 as the length and 6 as the width
Then you multiply and get the answer
Which function is shown on the graph?
A. f(x)=1/2cos x
B. f(x)=1/2sin x
C. f(x)=-1/2cos x
D. f(x)=-1/2sin x
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I took the test
A rectangle has sides of length 8cm and 3.2cm. Calculate the angle between the diagonal and a shorter side.
Answer:
The angle is 68.2 degrees
Step-by-step explanation:
Let us have the shorter side as the width
In that case, the opposite will be the length which is 8 cm
The diagonal is the hypotenuse
The short side is the adjacent
The trigonometric ratio that links the opposite and the adjacent is the tan
tan of an angle is the ratio of its opposite to the adjacent
In this case,
tan theta = 8/3.2
theta = arc tan (8/3.2)
theta = 68.2 degrees
Mary and Julie both have a goal of raising $1000 for charity. Mary raises $12 every 4 days. Julie raises $19 every 6 days.
Will Mary or Julie reach her goal first? Explain.
Answer:
Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.
Step-by-step explanation:
Answer:
Sample Answer: Mary would have a rise of 12 and a run of 4, making her slope, or rate of change, $3 a day. Julie would have a rise of 19 and a slope of 6, making her slope, or rate of change, $3.17 a day. Since Julie is raising money at a faster rate, she would get to the goal of $1000 first.
Step-by-step explanation:
BIG BRAIN
Find 142.8% of 461. Round to the nearest tenth.
Answer:
660
brainliest???????????
Step-by-step explanation:
Answer:
660
Step-by-step explanation:
142.8% * 461 = 1.428 * 461 = 658.308.
Rounding 658.308 to the nearest 10th, we get:
660
The lengths (in miles) of two highways after t years of construction can be modeled by 20t + 150 and 15t+ 200. What is the difference of the lengths of the highways when 1 = 1 = 4? Explain.
Step-by-step explanation:
13.5 is the difference of the length of the roads
- 3 ( x + 4 ) = - 24
What is x?
*the dash in front of the numbers is a negative sign*
Let's solve your equation step-by-step.
−3(x+4)=−24
Answer:
x=4