Answer:
[tex]11 \geqslant 2x - 5 \\ 16 \geqslant 2x \\ 2x \leqslant 16 \\ \boxed{x \leqslant 8}[/tex]
Mr Jones is 4 years older than his wife and 31 years older than his son.All three ages add up to 82 years. If Mr Jones is x years old find the value of x and find the ages of his wife and son
Answer:
So the age of Mr.Jones = 39 yrs. |
the age of his wife = 39-4 = 35 yrs.|
and the age his son = 39-31 = 8 yrs.|
Step-by-step explanation:
Let the age of Mr.Jones = x
So, the age of his wife = x-4 (wife is younger by 4 years)
and the age of his son = x-31 (son is younger by 31 years)
Sum of their ages = x + (x-4) + (x-31) = 82
= x + x - 4 + x - 31 = 82 (By removing the brackets)
= 3x - 35 = 82
= 3x = 117 (By adding 35 both the sides)
= x = [tex]\frac{117}{3}[/tex]= 39
how many solutions does the equation 2 + 6 (x - 4) = 3x have?
Answer:
1 solution
Step-by-step explanation:
To find this out you can just solve the equation so if you simplify you get
2+6x-24=3x
-3x=-22
x=22/3
so one solution
Is Point M the midpoint of AB? Select Yes or No for each statement.
Answer:
A is No.
B is Yes.
C is Yes.
D is No.
Answer:
Step-by-step explanation:
For A ) yes
B) yes
C) no
D) Yes
Use the formula for mid,
mid(x, y)=((X_1 + X_2)/2,(Y_1+Y_2)/2)
You are decorating your bedroom. To get the paint colour you want, you mix 2 parts red with 1 parts cream and 3 part blue. How much blue paint will you need to mix with 4 litres of red?. Single line text.
Answer:
6 litres of blue color should be mixed.
Step-by-step explanation:
To get the paint color as per my wish, paint of different colors are mixed in the ratio = Red : Cream : Blue
= 2 : 1 : 3
In this mixture, ratio of red and blue color = 3 : 2
This ratio will be constant for any amount of mixture.
Therefore, [tex]\frac{\text{Amount of Blue color}}{\text{Amount of red color}}=\frac{3}{2}[/tex]
[tex]\frac{b}{4}=\frac{3}{2}[/tex]
b = [tex]\frac{3}{2}\times 4[/tex]
b = 6 litres
Therefore, 6 litres of blue color should be mixed with the 4 litres of red color.
Find the value of x :>
Answer:
x = 61°
Step-by-step explanation:
Since the lower left angle equals to 90°, the other angle on the right must also equal 90°. Subtract 29 from 90° to get 61° as your x value and as your final angle answer.
Answer:
61°
Step-by-step explanation:
The dotted angke is a right angle which is 90° so,
We can solve for x using algebra
90+x+29=180
x+119=180
x=180-119
x=61
HELP PLS I DONT HAVE MUCH TIME!!!! POINTS WILL BE GIVEN I WILL MARK AS BRAINLIST!!!
Answer:
(81x+13)
Step-by-step explanation:
Identify any x-intercepts for the graph below .
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Answer: ??????
Step-by-step explanation:
6 xy × 4 = 2 x72 please koi solutions do
Answer:
y = 6
Step-by-step explanation:
6 * y * 4 = 2 * 72
y = 2 * 72/24 = 6
6xy × 4 = 2 × 72
or, 6xy = 2 × 72/4
or, 6xy = 36
or, xy = 6
6 = 3 × 2 × 1
Hence, x = 3 and y = 2
or, x = 2 and y = 3
or, x = 6 and y = 1
or, x = 1 and y = 6
PLEASE HELP ME HURRY!!!!!!
THIS IS AN EMERGENCY!!!!!!!!!!
what is the greatest common factor of 12 and 42?
Answer:
das easy : 2
Step-by-step explanation:
It is 6 12 in halves is 6
Any help on this please?
Answer:
18
Step-by-step explanation:
1:14
x:252
252/14= 18
Find the solution
of this system of linear
equations. Separate the x- and y- values with a
comma. Enclose them in a pair of parantheses.
-6x = 24 - By
12x = -72 + 8y
what's the answer to 4/3y = 16
Answer:
12
Step-by-step explanation:
4/3y = 16
4y=48
y=12
PLEASE HELP MEEEE UGH on 5
Answer:We have been given that a rectangle has a height to width ratio of 3:4.5.
Let h be height and w be width of rectangle.
We can set our given information in an equation as:
Now we will substitute h=1 in this equation.
We can see that width of rectangle is 1.5 times height of rectangle.
Our one set of dimensions of rectangle will be: height=1 and width=1.5.
We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.
Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.
Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.
Step-by-step explanation:
Answer:
1.5 2 2.5
Step-by-step explanation:
brainliest please
is 12/200 and 9/150 proportional
Quadrilateral JKLM is graphed in the coordinate plane. Under which transformation
would the image of JKLM be similar to JKLM?
9514 1404 393
Answer:
A
Step-by-step explanation:
Rigid transformations and dilation will result in similar figures. Choices B, C, and D are not rigid transformations or dilations, but are different stretches in one direction than another.
The transformation of A is a dilation by a factor of 2 and reflection over the y-axis. It results in similar figures.
A castle entrance has walls that can be modeled by the equation x^2/10^2 - y^2/30^2 = 1 with units in feet. How wide is the entrance where the walls are closest together?
10 ft
20 ft
30 ft
60 ft
Answer:
The entrance is30 ft wide
Answer:
20 feet
Step-by-step explanation:
When graphing, we see that the length of the transverse axis is the shortest distance, which is a length of 20 feet from one wall to the other.
I Don't Know!!!
A used book store also started selling used CDs and videos. In the first week, the store sold a combination of 40 CDs and videos. They charged $4 per CD and $6 per video and the total sales were $180. Determine the total number of CDs and videos sold.
I kind of need to know how to solve. I have more q's like this but if I know how to, I might be able to do it.
Answer:
They sold 10 videos and 30 CDs
Step-by-step explanation:
So, you need two different equations-
We will use c to represent CDs and v to represent videos
So-
c + v = 40
4c + 6v = 180
Single out a variable in the first equation-
v = 40 - c
Because this is equal to v, insert it where v is in the second equation-
4c + 6(40 - c) = 180
Multiply-
4c + 240 - 6c = 180
Solve-
-2c + 240 = 180
-2c = -60
c = 30
Now that you know c, use first equation to find v-
30 + v = 40
v = 10
So c = 30 and v = 10
can somebody help me ?
Pleaseeeee answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!
the distance between two numbers on the number line is 19. One of the numbers are 8. What are the two possibilities for the other number ?
Answer:
7 or 6
Step-by-step explanation:
ILL MARK AS BRAINLESS PLS HELP
Answer:
a- 40
b- 15
c- 2.5
Step-by-step explanation:
ratio of pounds to kilograms is
22 pounds: 10 kilograms
filo- 88 pounds
88 pounds: ? kilograms
22 times 4 is 88
so times 4 on both sides
22 pounds: 10 kilograms
88 pounds: 40 kilograms
same thing with spot and bella
spot- 33
22: 10
/2 /2
11: 5
*3 *3
33 pounds: 15 kilograms
bella- 5.5
22 pounds: 10 kilograms
/4 /4
5.5 pounds: 2.5 kilograms
Q. The Pythagorean Theorem is
c2=g2-62
O True
O False
Answer:
true
Step-by-step explanation:
true
A hardware store manager reviews data that shows how well a new product is selling over an 8-week period. The data can be modeled by the equation y = - 13.9x + 103 , where x represents time in weeks and y represents the number of units of the product left in stock. what does-13.9 represent
Answer:
-13.9 represents the slope
It is the number of units of the product left in stock per week
The negative value shows it decreases per week
Step-by-step explanation:
Here, we want to state what the value -13.9 represents
Generally, the equation of a straight line can be represented by the equation
y = mx + c
where m is the slope
In this case, -13.9 represents the slope of the model
The slope is calculated by dividing a change in y by a change in x
With respect to the question, the slope here represents number of units of the product left in stock per week
Problem
1
+ 10x + 13 = 4
Answer:
[tex]x = -1[/tex]
Step-by-step explanation:
Equation: [tex]1+10x+13=4[/tex]
Step 1: Balance both parts of the equation.
[tex]1+10x+13=4[/tex]
[tex](10x)+(1+13)=4[/tex]
[tex]10x+14=4[/tex]
[tex]10x+14=4[/tex]
Step 2: Reduce 14 from both parts of the equation.
[tex]10x+14-14=4-14[/tex]
[tex]10x= -10[/tex]
Step 3: Split both sides by 10, because [tex]\mathrn {10x = -10}[/tex].
[tex]\frac{10x}{10} = \frac{-10}{10}[/tex]
[tex]10 / -10 = -1[/tex]
Therefore, x = -1.
Example 3
L1 and 22 form a linear pair. If m_1 = 4 m22, find the measure of each of the two angles.
Answer:
We conclude that
The angle ∠1 = x = 36°The angle ∠2 = 4x = 4(36°) = 144°Step-by-step explanation:
Given
<1 and <2 form a linear pair
m∠1 = 4m∠2
To determine
Find the measure of each of the two angles.
Important Points about linear pair:
We know that when two lines meet or intersect, we get a linear pair of angles.Linear pairs are basically two adjacent angles that form a line.The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.As
<1 and <2 form a linear pair
m∠1 = 4m∠2
In other words, angle 1 is 4 times the measure of angle ∠2.
Let the angle ∠1 be = x
As the angle 1 is 4 times the measure of angle ∠2, so
The angle 2 will be = 4x
As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so
[tex]x + 4x = 180[/tex]
[tex]5x = 180[/tex]
divide both sides by 5
[tex]\frac{5x}{5}\:=\:\frac{180}{5}[/tex]
[tex]\:x=36^{\circ }[/tex]
Thus, we conclude that
The angle ∠1 = x = 36°The angle ∠2 = 4x = 4(36°) = 144°
find the area of the shaded region of the trapezoid.
Answer:
B
Step-by-step explanation:
Area of Trapezoid
Area = (b1 + b2)*h/2
Area = (9 + 13)*11 /2
Area = (22) * 11/2
Area = 121 sqr. units.
Area of the unshaded triangle
Area = 1/2 b * h
Area = 1/2 9 * 11
area = 49.5
Area of the shaded region
Area = 121 - 49.5
Area = 71.5
B
pls, help me find x...
Answer:
x = 70 degrees
Step-by-step explanation:
The supplement of 105 is 75 degrees, and the other angle of the triangle is 35 degrees. So x = 180-75-35 = 70 degrees
Answer:
70
Step-by-step explanation:
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
Answer:
9
Step-by-step explanation:
according to the question
27×⅓
9
The ratio of the angles in a triangle is 7/2 / 1 . What is the measure of the largest angle?
Answer:
180 divided by 10 equals 18 and the largest angle is 7 parts 7x10= 126
so 126 is your answer :) hope this helped.