Answer:
q≤7
Step-by-step explanation:
q+8≤15
1) Subtract 8 from both sides:
q≤7
Answer:
[tex]\displaystyle 7 ≥ q; q + 8 ≤ 15[/tex]
Step-by-step explanation:
q + 8 ≤ 15
- 8 - 8
_______
[tex]\displaystyle q ≤ 7[/tex]
** The above answer is written in reverse, which is the exact same result.
I am joyous to assist you anytime.
One positive number is 3 times another number. The difference between the two numbers is 62. Find the numbers
Answer:
31
93
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
y = 3x
y - x = 62
3x - x = 62
2x = 62
2x/2 = 62/2
x = 31
y = 3x
y = 3*31
y = 93
Final answer:
To find two positive numbers where one is 3 times the other and their difference is 62, let one number be x, then solve the equation 3x - x = 62 to find the numbers 31 and 93.
Explanation:
To find the numbers:
Let one number be x, then the other number is 3x.
Form an equation: 3x - x = 62.
Solve for x: 2x = 62, x = 31.
So, the two numbers are 31 and 93.
x + (-y)= -y + x
What’s the property
hm
Step-by-step explanation:
I'd go with associative because its re grouping
Answer:
Step-by-step explanation:
the property is : a+b= b+a comutative for +
The product of 9 and x is less than or equal to -17
Answer:
9+x< -17
(make sure there's a line under the less than sign to make it work to)
Step-by-step explanation:
the product of 9 and x describes an addition problem, so it would be 9+x. after you put the less then or equal to sign and then -17.
Hope this helps
To solve the inequality 9x ≤ -17, divide both sides by 9 to find x ≤ -17/9, meaning x can be any value less than or equal to approximately -1.888.
The student's question pertains to an inequality in mathematics involving a variable x and requires an understanding of algebraic inequalities. To solve the inequality 9x ≤ -17, we need to isolate the variable x. We can do this by dividing both sides of the inequality by 9, which gives us x ≤ -17/9. It is important to note that dividing by a positive number does not change the direction of the inequality sign.
The value of x must satisfy this inequality, so any number less than or equal to -17/9 is a solution to the inequality. That means x could be -2, -3, or any other value that is less than or equal to approximately -1.888... (since -17/9 is a decimal approximation of -1.888...).
the sum of 21and 4 doubled
Answer:
50
Step-by-step explanation:
21 + 4 = 25
25 × 2 = 50
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The rule for pattern is ad 6.The first term is 5. The first term is 5.Write the first Five terms in the patterns
Answer:
5, 11, 17, 23, 29
Step-by-step explanation:
5+6=11+6=17+6=23+6=29
-7 1/3 written as a fraction is
- 10/3
- 21/3
- 22/3
Answer:
-22/3
Step-by-step explanation:
Multiply the whole number by the denominator, and then add the numerator to get the improper fraction.
12x+7<-11 or 5x-8>40
Answer:
[tex]\large\boxed{x<-1\dfrac{1}{2}\ or\ x>9\dfrac{3}{5}\to x\in\left(-\infty,\ -1\dfrac{1}{2}\right)\ \cup\ \left(9\dfrac{3}{5},\ \infty\right)}[/tex]
Step-by-step explanation:
[tex]12x+7<-11\qquad\text{subtrct 7 from both sides}\\\\12x+7-7<-11-7\\\\12x<-18\qquad\text{divide both sides by 12}\\\\\dfrac{12x}{12}<\dfrac{-18}{12}\\\\x<-\dfrac{18:6}{12:6}\\\\x<-\dfrac{3}{2}\\\\x<-1\dfrac{1}{2}\\===========================[/tex]
[tex]5x-8>40\qquad\text{add 8 to both sides}\\\\5x-8+8>40+8\\\\5x>48\qquad\text{divide both sides by 5}\\\\\dfrac{5x}{5}>\dfrac{48}{5}\\\\x>\dfrac{48}{5}\\\\x>9\dfrac{3}{5}\\===========================[/tex]
[tex]x<-1\dfrac{1}{2}\ or\ x>9\dfrac{3}{5}[/tex]
Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select three options. y = –Two-fifthsx – 2 2x + 5y = −10 2x − 5y = −10 y + 4 = –Two-fifths(x – 5) y – 4 = Five-halves(x + 5)
The three linear equations that represent the line perpendicular to the line 5x - 2y = -6 and passing through the point (5, -4) are: y = -2/5x - 2, 2x + 5y = -10, and y + 4 = -2/5 * (x - 5).
Explanation:Firstly, to find a line perpendicular to another line, we need to find the negative reciprocal of the slope of the original line. The equation 5x - 2y = -6 can be rewritten in slope-intercept form (y = mx + b) as y = 2.5x + 3, so its slope is 2.5. The negative reciprocal of 2.5 is -2/5. Therefore, the slope of the line we are looking for is -2/5.
Secondly, a line passes through a given point (5, -4), so we can use the point-slope form of the equation, which is y - y1 = m(x - x1). By substituting the values, we get y - (-4) = -2/5 * (x - 5), which simplifies to y + 4 = -2/5 * (x - 5).
Lastly, to find other representations of the same line, the standard form of a linear equation is Ax + By = C. Converting y + 4 = -2/5 * (x - 5) to standard form gives us 2x + 5y = -10. So, the three equations that represent the line are: y = -2/5x - 2, 2x + 5y = -10, and y + 4 = -2/5 * (x - 5).
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Write the equation in slope intercept form.
[tex]\bf y+2=\cfrac{1}{3}(x-6)\implies y+2=\cfrac{1}{3}x-2 \\\\\\ y=\cfrac{1}{3}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Answer:
[tex]y = \frac{1}{3} x - 4[/tex]
Step-by-step explanation:
Given equation :-
[tex]y + 2 = \frac{1}{3} (x - 6)[/tex]
• Slope intercept form is
y = mx + c
where , m is slope of the straight line
and c is y intercept of the line !
Solving and simplifying the given equation ,
[tex]3y + 6 = x - 6 \\ \\ 3y = x - 6 - 6 \\ \\ 3y = x - 12[/tex]
[tex]y = \frac{1}{3} x - \frac{12}{3 } \\ \\ y = \frac{1}{3} x - 4[/tex]
So, m = 1/3 and c = ( -4 )
hence , the required slope intercept form of the equation is
[tex]y = \frac{1}{3} x - 4[/tex]
Write .46 as a fraction
Simplify the expression -3/8 -1/10
The answer would be "-3/8 + -1/10."
Simplify means to reduce so in this case we aren't solving the question we are reducing it into simpler terms.
[tex]-\frac{3}{8} -\frac{1}{10}[/tex]
According to the rules of KCC (Keep Change Change) you would have to turn the subtraction sign into a addition sign and make the positive 1/10 into a negative.
[tex]-\frac{3}{8} +-\frac{1}{10}[/tex]
The equation cannot be reduce no further therefore that would be your answer.
Hope this helps.
I’d like for you to Show work please:)
How do you solve number eight?
44 + 37 + x = 180
x + 81 = 180
x = 180 - 81
x = 99
n + 99 = 180
n = 180 - 99
n = 81
Place the following in order from least to greatest. 74.6, -74.69,-74.069, 74.59
Answer:
-74.069, -74.69, 74.59, 74.6
Step-by-step explanation:
negative numbers are smaller than positives
Answer:
-74.69, -74.069, 74.59, 74.6
Step-by-step explanation:
The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.
The answer is f(x)=5(x+8)-80f ( x ) = 5 ( x + 8 ) − 80
Convert 2. 17 years into minutes
2.17 years is 1140552 Minutes
Answer:
wait do u want me to convert 17 years or 2.17 years
ill do both
17=8.935e+6
2.17=1140552
Step-by-step explanation:
Find x and y in the figures below
Answer:
There are no figures below...
Step-by-step explanation:
The sum of the numbers as a product of their GCF is ? The numbers are18+48
Answer:
Step-by-step explanation:
18=2×3×3
48=2×2×2×2×3
G.C.F.=2×3=6
18+48=66
6×11=66
Which of the following is equal to the expression when x does not equal -2 or 3?
Answer:
at first we should simplify each equation by find its roots
(x^2+5x+6) =
(x+2) (x+3)
(x^2-x-6)=
(x-3) (x+2)
sox^2+5x+6÷x^2-x-6=
(x+2)(x+3)÷(x-3)(x+2)=
A(x+3) ÷(x-3)
Answer:
x+3/x-3
Step-by-step explanation:
What’s the answer to this problem?
In order to get the answer to this question you will have to figure out how much 120 US dollars gets you in Canadian dollars.
[tex]120=158.36[/tex]
[tex]158.36-20=138.36[/tex]
[tex]138.36=104.87[/tex]
[tex]=104.87[/tex]
Therefore your answer is "104.87."
Hope this helps.
Answer:
130
Step-by-step explanation:
the answer is $130 because I really need points to ask a question, I recommend googling the question or googling the currency
What is the slope of the line in the graph?
Answer:
The slope is 1
Step-by-step explanation:
Slope is change in y over change in x.
You have point (1,2) and point (0,1)
change in y = 2-1 = 1
change in x = 1-0 = 1
change in y over change in x = 1/1 = 1
What is the surface area of a sphere with a radius of 9 units?
The surface area of a sphere with a radius of 9 units is given by the formula 4 (pi) (r)2, resulting in an area of 324 (pi) square units, or approximately 1017.88 square units when using 3.14159 for (pi).
Calculating the Surface Area of a Sphere
To find the surface area of a sphere, you will need to use the formula: surface area = 4 (pi) (r)2, where r is the radius of the sphere. For a sphere with a radius of 9 units, you would calculate the surface area as follows:
Surface Area = 4 (pi) (92)
Surface Area = 4 (pi) (81)
Surface Area = 324 (pi)
So, the surface area of the sphere is 324 (pi) square units. If you use the approximate value of (pi) = 3.14159, then the surface area would approximately be 1017.88 square units.
What are the coordinates of the vertices of the pre-image given? ry= −x ◦ T1, −2(x, y)
A
B
C (3, 4)
D
Answer:
Hence, the coordinates of pre-image are:
A(1,6) , B(0,4) , C(3,4) , D(2,6)
Step-by-step explanation:
We have to find the coordinates of the vertices of the pre-image given?
Ry= −x ◦ T_1, −2(x, y)
i.e. we have to find the composition of reflection along the line y=-x and translation with the rule:
(x,y) → (x+1,y-2)
Now we have coordinates of A",B",C" and D" as:
A"(-4,-2)
B"(-2,-1)
C"(-2,-4)
D"(-4,-3)
Now we are asked to find the coordinates of the pre-image.
Also when any point is reflected along y=-x then the point is transformed to:
(x,y) → (-y,-x)
Let A,B,C and D are the points of the pre-image.
Hence, the coordinates of the pre-image are given as:
so, the transformation is given as:
A→A'→A"
B→B'→B"
C→C'→C"
D→D'→D"
Where A',B',C',D' represents the transformation after translation and A",B",C",D" represents the transformation after reflection as well.
The coordinates of A' are (2,4)
B' are (1,2)
C' are (4,2)
and D' are (3,4)
Now, the coordinates of pre-image are given as:
A'(x,y) → A(x-1,y+2)=A(1,6)
B'(x,y) → B(x-1,y+2)=B(0,4)
C'(x,y) → C(x-1,y+2)=C(3,4)
and D'(x,y) → D(x-1,y+2)=D(2,6)
Hence, the coordinates of pre-image are:
A(1,6) , B(0,4) , C(3,4) , D(2,6)
Answer its A (1,6) B (0,4) C (3,4) D (2,6)
Step-by-step explanation:
Evaluate a + b for a = 43 and b = -29.
HELP ME I ONLY HAVE 1 hourrr
Answer:
14
Step-by-step explanation:
Substitute the given values for a and b into the expression and evaluate
a + b = 43 + (- 29) = 43 - 29 = 14
Answer:
Step-by-step explanation:
a + b = 43 +(-29) =43-29 = 14
On a number line, suppose point E has a coordinate of 2, and EGequals5. What are the possible coordinates of point G?
Answer:
-3, 7
Step-by-step explanation:
EG = 5, so the distance between E and G is five.
G can be 5 units to the right of E:
2 + 5 = 7
G has coordinate 7.
G can be 5 units to the left of E:
2 - 5 = -3
G has coordinate -3.
Answer: -3, 7
Tn+1=35-2Tn, T1=5 what is T20?
Answer: 3,495,265
Step-by-step explanation:
[tex]T_{n+1}=35-2T_n\quad and\quad T_1=5, then\\T_{1+1}=35-2(T_1)\implies T_2=35-2(5)\implies T_2=25\\T_{2+1}=35-2(T_2)\implies T_3=35-2(25)\implies T_3=-15\\T_{3+1}=35-2(T_3)\implies T_4=35-2(-15)\implies T_4=65\\T_{4+1}=35-2(T_4)\implies T_5=35-2(65)\quad \implies T_5=-95\\T_{5+1}=35-2(T_5)\implies T_6=35-2(-95)\implies T_6=225\\.\qquad \qquad \qquad \qquad \qquad \qquad \downarrow\\.\qquad \qquad \qquad \qquad \qquad \qquad \downarrow\\.\qquad \qquad \qquad \qquad \qquad \qquad \downarrow[/tex]
[tex]T_{18+1}=35-2(T_{18})\implies T_{19}=35-2(873,825)\implies T_{19}=-1,747,615\\T_{19+1}=35-2(T_{19})\implies T_{20}=35-2(-1,747,615)\implies T_{20}=3,495,265[/tex]
Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y
Answer:
Well, there are x amounts of white flower and 6 cups of wheat flower.
So the total flower is x + 6
Given that is the total, the equation you would use is:
y=x+6
The constraints are as follows:
y can only be > 6
And if y=0, x would have to be -6 (which is impossible)
Answer:
D) y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.
Step-by-step explanation:
Got it right on my test
What is the image point of (-6, -9) after translation left 1 unit and down 5 units?
The original point (-6, -9) is shifted 1 unit to the left and 5 units down to reach the new position (-7, -14).
To find the image point after translating the point (-6, -9) left 1 unit and down 5 units, we subtract the translation values from the coordinates of the original point.
For the horizontal translation (left 1 unit), we subtract 1 from the x-coordinate:
New x-coordinate = -6 - 1 = -7
For the vertical translation (down 5 units), we subtract 5 from the y-coordinate:
New y-coordinate = -9 - 5 = -14
Therefore, the image point after the translation is (-7, -14).
This means that the original point (-6, -9) is shifted 1 unit to the left and 5 units down to reach the new position (-7, -14).
This translation is a geometric operation commonly used in mathematics and computer graphics to move objects or points in a coordinate plane.
How would you write 77.7% as a decimal?
|-17|= how do you do this
Answer:
17
Step-by-step explanation:
anything in absolute value brackets is going to be positive. Absolute value is the distance of that specific number on the number line from 0. so ex: -3 is 3 units away from 0 so therefore, the answer is 3.