Answer:
33
Step-by-step explanation:
6v - w =
6(5) - (-3) =
30 + 3 =
33
For which of the following compound inequalities is there no solution?
A. 3m - 12 > 30 and -6m >= 24
B. -6m >= 12 and m + 5 -18
C. -5m < 20 and 6m > -18
D. -4m - 10 <= -22 and 6m - 8 >= 22
>= is greater than or equal to
<= is less than or equal to
Answer:
A
Step-by-step explanation:
[tex]3m - 12 > 30 \text{ and } -6m\geq 24[/tex]
[tex]\boxed{3m - 12 > 30 \wedge -6m\geq 24}[/tex]
[tex]m>14 \wedge m\leq -4[/tex]
There's no solution. It is the first one already. There is no number that is both greater than 14 and less than or equal to -4. That is no solution because there's no [tex]m[/tex] that satisfy the compound inequality.
Note: the signal change because we divided by negative number.
Answer:
3m - 12 > 30 and -6m >= 24
Step-by-step explanation:
A. 3m - 12 > 30 and -6m >= 24
3m > 42 and m < = -4
m > 14 and m < = -4
This has no solution
B. -6m >= 12 and m + 5 -18
cannot solve since missing inequality
C. -5m < 20 and 6m > -18
m > -4 and m > -3
solution m > -3
D. -4m - 10 <= -22 and 6m - 8 >= 22
-4m < = -12 and 6m > = 30
m > = 3 and m > =5
m > = 5
What is the recursive definition for 25,20,15,10?
Answer:
aₙ = 30 - 5n
Step-by-step explanation:
25,20,15,10, ...
We see from the given series that it is AP with:
First term = 25Common difference = -5 and it is decreasing seriesThen formula is:
aₙ= a₁ + (n-1)daₙ= 25 + (n-1)(-5) aₙ= 25 - 5n + 5aₙ = 30 - 5nMatilda has 16 3/4 hours to finish 3 consulting projects. How much time may she spend on each project, if she plans to spend the same amount of time each?
A. 5 6/7
B. 5 3/7
C. 5 9/11
D. 5 7/12
Answer: D
Step-by-step explanation:
To find how much time she need on each project divide the time by 3 because there are 3 projects and to get to 1 project you will need to divide by 3.
16 3/4 = 67/4
[tex]\frac{67}{4}[/tex] ÷ [tex]\frac{3}{1}[/tex] = [tex]\frac{67}{12}[/tex] = 5 7/12
Answer:
Step-by-step explanation:
El siguiente diagrama A, B, C, D, E, F denotan islas, y las líneas de unión son puentes. El hombre empieza en A y camina de isla en isla. El hombre no puede cruzar el mismo puente dos veces. Hallar el número de maneras que puede hacer su recorrido antes de almorzar.
A-B-C-D
E-F
A esta conectado a B, B a C y C a D. B está conectado a E, C esta conectado a F y hay una linea que conecta E y C
Answer:
hey good
Step-by-step explanation:
Miguel's basketball team is down seven points from their opponents. If they make a two-point field goal, how many more points do they need to tie the game? Justify your answer by writing a number sentence to represent this situation.
Answer: Answer is the steps
Step-by-step explanation:
If they are down by seven points then it means that they are losing by 7 points.And fortunately they made two-point field goal so they will now be down by 5 points. Which means that they need 5 more points to tie the game.
For example,
-7 represents the points that they are down by and they made 2 points so
-7 + 2 = -5 which means that they are now down by 5 points to make a tie game.
Answer:-7+2+5=0
Step-by-step explanation:
Please answer this question now
Answer:
m∠C = 102°
Step-by-step explanation:
The above diagram is a cyclic quadrilateral
Step 1
First we find m∠B
The sum of opposite angles in a cyclic quadrilateral is equal to 180°
m∠D + m∠B = 180°
m∠B = 180° - m∠D
m∠B = 180° - 80°
m∠B = 100°
Step 2
Since we have found m∠B
We can proceed to find the Angle outside to circle
m∠CDA = 2 × m∠B
m∠CDA = 2 × 100°
m∠CDA = 200°
m∠CDA = m∠CD + m∠DA
m∠DA = m∠CDA - m∠CD
m∠DA = 200° - 116°
m∠DA = 84°
Step 3
Find m∠DAB
m∠DAB = m∠DA + m∠AB
m∠DAB = 84° + 120°
m∠DAB = 204°
Step 4
Find m∠C
It you look at the cyclic quadrilateral properly,
m∠DAB is Opposite m∠C
Hence
m∠C = 1/2 × m∠DAB
m∠C = 1/2 × 204
m∠C = 102°
Therefore ,m∠C = 102°
Tickets for the front section to a rock concert cost $25 each. The back section tickets sold for $15 each. If 400 tickets were sold for a total revenue of $7,500, how many of each each type of ticket were sold? 1. Front – 145, Back – 255 2. Front – 140, Back – 260 3. Front – 155, Back – 245 4. Front – 150, Back – 250
Answer:
150 front tickets and 250 back tickets
Step-by-step explanation:
make 2 equations 25x + 15y = 7500 and x + y = 400 and do substitution on a graphing calculator or by your self.
let me know if this helps
Select all of the numbers that are correctly written in scientific notation. 10.8\times10^{-3}10.8×10 −3 0.54\times10^60.54×10 6 1\times10^{-4}1×10 −4 7.6\times10^{2.5}7.6×10 2.5 9.8\times10^59.8×10 5
Answer:
1×10⁻⁴ and 9.8×10⁵Step-by-step explanation:
The standard form of writing a scientific notation is expressed as [tex]a.b*10^n[/tex] where a, b and n are integers. Note that a, b and n cannot be a fraction. When writing in scientific notation, the value of 'a' must not be equal to zero and it must not be a 'two digits values' but just 'a digit value'.
Based on the above conclusion, the following numbers are correctly written in scientific notation.
1×10⁻⁴ and 9.8×10⁵
- The expression 10.8×10 −3 is not correctly written because the value of a on comparison is a two digits number i.e 10.
- Also, 0.54×10^6 is not correctly written because a is zero on comparison
- 7.6×10 2.5 is not correctly written because the power is a decimal number i.e 2.5. We must only have an integer as the degree.
Will Give Brainliest, answer ASAP x=
y=
Answer:
x = 21.25 , y = 5
Step-by-step explanation:
In a parallelogram
Consecutive angles are supplementary
Opposite angles are congruent, thus
125 + 4x - 30 = 180
4x + 95 = 180 ( subtract 95 from both sides )
4x = 85 ( divide both sides by 4 )
x = 21.25
8y² = 125 ( divide both sides by 5 )
y² = 25 ( take the square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5
width of picture 7 3/5 cm. to fit in the frame the picture cannot be more than 7 3/10 cm. how much should the picture be trimmed
Answer:
1/5
Step-by-step explanation:
width of picture 7 3/5 cm. to fit in the frame the picture cannot be more than 7 3/10 cm. how much should the picture be trimmed
Given that :
Original Width of picture = 7 3/5 cm
Width required for picture to fit into frame=7 3/10
For picture to fit into frame:
(7 3/5 - 7 3/10) must be trimmed off from the frame.
(7 3/5 - 7 3/10)
(7 - 7) = 0
(3/5 - 3/10)
Taking the L. C. M
(6 - 3) / 10
= 2 / 10
= 1/5
THEREFORE, 1 / 5 of the width should be trimmed in other to ensure the picture fits into the frame.
Find the value of x in each case:
Answer:
x = 36
Step-by-step explanation:
To obtain the value of x, we must first obtain the value of y and z as shown in the attached photo.
i. Determination of y
2x + y = 180 (angle on a straight line)
Rearrange
y = 180 – 2x
ii. Determination of z.
z + 4x = 180 (angle on a straight line)
Rearrange
z = 180 – 4x
iii. Determination of x
x + y + z = 180 (sum of angles in a triangle)
But:
y = 180 – 2x
z = 180 – 4x
Therefore,
x + y + z = 180
x + 180 – 2x + 180 – 4x = 180
Collect like terms
x – 2x – 4x = 180 – 180 –180
– 5x = – 180
Divide both side by – 5
x = – 180 / – 5
x = 36
Therefore, the value of x is 36.
How do you write The product of 2 and a cube of a number
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given that -6,-6 is on the graph of f x find the corresponding point for the function f(3/4x)
Answer:
The corresponding point is (-8, -6).
Step-by-step explanation:
Given that
(-6,-6) lies on the graph of [tex]f(x)[/tex]
A function is represented in the form:
[tex]y = f(x)[/tex]
i.e. (-6,-6) means value of x = -6 is put and value y came out as -6.
[tex]f(-6) = -6[/tex]
Now, we have to find the corresponding point on [tex]f(\frac{3}{4}x)[/tex].
We know the value of [tex]f(-6)[/tex]
Let us find the value of x where [tex]\frac{3}{4}x[/tex] becomes equal to -6
[tex]\dfrac{3}{4}x=-6\\\Rightarrow 3x=-24\\ \Rightarrow x =-8[/tex]
So, let us put value of [tex]x = -8[/tex] in [tex]f(\frac{3}{4}x)[/tex]:
[tex]f(\frac{3}{4}\times (-8))\\\Rightarrow f(3\times (-2))\\\Rightarrow f(-6) = -6[/tex](as per given statement)
So, the corresponding point is (-8, -6).
Which equation does NOT graph a line? A) y = 5 B) y = -3x3 C) y = 2/3 x D) y = −8x That 3 in b is an exponent btw
Answer:b
Step-by-step explanation:
Rocket science
Which statement about the relationship shown in the graph is true?
Answer: The number of pounds depend on the total price.
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
It just is also, it’s for plato
find the roots of the following equation X + 1 whole square minus x square equal to 2
Answer:
x = 1/2
Step-by-step explanation:
Let's represent this in a mathematical way,
(x+1)^2 - x^2 = 2
Ok now we expand,
x^2 + 2x + 1 -x^2 = 2
rearrange,
x^2 - x^2 + 2x + 1 = 2
subtract,
2x + 1 = 2
subtract 1 from both sides,
2x + 1 - 1 = 2 - 1
2x = 1
Now divide 2 from both sides and get your answer,
x = 1/2
Answer:
[tex](x + 1) { }^{2} - x {}^{2} = 2[/tex]
[tex]x {}^{2} + 2x + 1 - x {}^{2} = 2[/tex]
[tex]2x + 1 = 2[/tex]
[tex]x = 1 \div 2[/tex]
simplfy the given equation using the distributive property 5x + 2(x - 3) = -2(x - 1)
Answer:
x = [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
5x + 2 (x - 3) = -2 (x - 1)
5x + 2x - 6 = -2x +2
5x + 2x + 2x = 2 + 6
9x = 8
x = [tex]\frac{8}{9}[/tex]
Answer:
The value of x in the given equation is 0.89
Step-by-step explanation:
5x + 2(x - 3) = -2(x - 1)
Distribute 2 to (x - 3)
5x + 2x - 6 = -2(x - 1)
Distribute 2 to (x - 1)
5x + 2x - 6 = -2x + 2
Combine 5x and 2x on the left side of the equation.
7x - 6 = -2x + 2
Add 6 on both side of the equation.
7x = -2x + 8
Add 2x on both sides of the equation.
9x = 8
Now divide 9 from 8. Make sure you round the decimal because the quotient of these numbers is a repeating decimal.
x = 0.89
So, the value of x is 0.89
Simplify {[(0.2)^3] x 8} / (0.4)^2
40
0.4
0.2
0.04
Answer:
0.4
Step-by-step explanation:
Given
[tex]\frac{0.2^3(8)}{0.4^2}[/tex]
= [tex]\frac{0.008(8)}{0.16}[/tex]
= [tex]\frac{0.064}{0.16}[/tex]
= 0.4
Pens cost 15 pence each.
Rulers cost 20 pence each.
A school buys 150 pens and 90 rulers.
The total cost is reduced by 1/5
How much does the school pay?
Answer:
The amount the school pays is £32.40
Step-by-step explanation:
The cost of each pen = 15 pence
The cost of each ruler = 20 pence
The number of pens bought by the school = 150
The number of rulers bought by the school = 90
The cost reduction (discount) on the items bought = 1/5
Therefore, we have;
The total cost of the pens bought by the school = 150 × 15 = 2250 = £22.50
The total cost of the rulers bought by the school = 90 × 20 = 1800 = £18.00
The total cost of the writing materials (rulers and pens) bought by the school = £22.50 + £18.00 = £40.50
The discount = 1/5 total cost reduction = 1/5×£40.50 = $8.10
The amount the school pays = The total cost of the writing materials - The discount
The amount the school pays = £40.50 - $8.10 = £32.40
The amount the school pays = £32.40.
Help please!! Thanks
Answer:
B
Step-by-step explanation:
area of the full piece of pie. π(8)²*60/360 (we know 60°, because it's an equilateral triangle)
32π/3
now subtract the area of the triangle
1/2(8)(4√3) = 16√3
32π/3 - 16√3
A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration
Answer:
acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]
Step-by-step explanation:
The acceleration is the change in velocity per unit of time.
Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:
[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]
so in this case the acceleration becomes:
[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]
I promise i will mark as brainiest
Answer:
The answer is option BStep-by-step explanation:
The question above means that how many numbers can divide 2003 with a remainder of 23
That means all the numbers are less than 2003
The number of numbers that have this property are only
22 numbersHope this helps you
All of the following are true statements except _____. |93| = 93 −|93| = −93 |−93| = 93 |−93| = −93
Answer: Hi!
Alll of the follow are true except option 4, which states the absolute value of -93 is -93. This is not true! Absolute value will always be positive.
Hope this helps!
All of the given statements are true except |-93|=-93.
We need to identify the false statement from the given options.
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value. The absolute value of a positive number is the number itself, that of a negative number is the number without a negative sign, and the absolute value of 0 is 0.
From option (A):
|93|=93 is true.\
From option (B):
-|93|=-93 is true
From option (C):
|-93|=93 is true
From option (D):
|-93|=-93 is false
Therefore, all of the given statements are true except |-93|=-93.
To learn more about an absolute value visit:
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Please answer this question now
Answer:
V = 60 m³
Step-by-step explanation:
Volume of Triangular Pyramid: V = 1/3bh
Area of Triangle: A = 1/2bh
b = area of bottom triangle (base)
h = height of triangular pyramid
Step 1: Find area of base triangle
A = 1/2(8)(5)
A = 4(5)
A = 20
Step 2: Plug in known variables into volume formula
V = 1/3(20)(9)
V = 1/3(180)
V = 60
The length of a rectangle is seven inches more than its width. Its area is 540 square inches. Find the width and
length of the rectangle.
Answer: 20 is the width and 27 is length
PLEASE HELP ASAP!!!! A survey was taken of students in math classes to find out how many hours per day students spend on social media. The survey results for the first-, second-, and third-period classes are as follows: First period: 2, 4, 3, 1, 0, 2, 1, 3, 1, 4, 9, 2, 4, 3, 0 Second period: 3, 2, 3, 1, 3, 4, 2, 4, 3, 1, 0, 2, 3, 1, 2 Third period: 4, 5, 3, 4, 2, 3, 4, 1, 8, 2, 3, 1, 0, 2, 1, 3 Which is the best measure of center for second period, and why? Mean, because there are no outliers that affect the center Median, because there is one outlier that affects the center Interquartile range, because there is one outlier that affects the center Standard deviation, because there are no outliers that affect the center
Answer:
Answer: D : Median, because there is 1 outlier that affects the center
Step-by-step explanation:
Mean and median terms are use to measure the central tendency in a data set.
Mean is the best measure of center if there is no outlier present in the data otherwise median is the best measure of center if there is outlier present because outliers effects the means value of a data but not the median value.
In the third period, there is an outlier present as 8 that affects the center, then the best measure of center for third period must be Median.
For what value(s) of k will the function y=6x^2-8x+k have: a) one zero b) two zeros c) no zeros *this is not multiple choice*
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]6x^2-8x+k=0\\\\\text{We compute the discriminant.}\\\\\Delta = b^2-4ac=8^2-4*6*k=8*8-8*3*k=8*(8-3k)[/tex]
And the we know that if the discriminant is
***** [tex]\Delta[/tex] < 0, meaning 8-3k<0, meaning
[tex]\boxed{k>\dfrac{8}{3}}[/tex]
then, there is no real solution.
***** [tex]\Delta = 0[/tex], meaning
[tex]\boxed{k=\dfrac{8}{3}}[/tex]
There is 1 solution.
***** [tex]\Delta[/tex] > 0, meaning
[tex]\boxed{k<\dfrac{8}{3}}[/tex]
There are 2 solutions.
Thank you
PS: To give more details...
[tex]8-3k=0\\\\\text{Add 3k}\\\\8=3k\\\\\text{Divide by 3}\\\\k=\dfrac{8}{3}[/tex]
A car travels 120m along a straight road that is inclined at 8° to the horizontal. Calculate the vertical distance through which the car rises. (Sin8°=0.1392)
The vertical distance through which the car rises is 16.7 m
What is right triangle?"It is a triangle whose one of the angle is 90°."
What is sine of angle?In right triangle, for angle 'x',
sin(x) = (opposite side of angle x)/hypotenuse
For given example,
Consider the following figure for given situation.
A car travels 120 m along AC.
ΔABC is right triangle with hypotenuse AC.
∠C = 8°
Consider sine of angle C,
[tex]\Rightarrow sin(C)=\frac{AB}{AC}\\\\\Rightarrow sin(8^{\circ})=\frac{AB}{120}\\\\ \Rightarrow 0.1392=\frac{AB}{120}\\\\ \Rightarrow AB = 0.1392\times 120\\\\\Rightarrow AB = 16.70~ m[/tex]
Therefore, the vertical distance through which the car rises is 16.7 m
Learn more the sine angle here:
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A baby weighs 100 ounces. Find the baby's weight in pounds and ounces.
Work Shown:
1 pound = 16 ounces
100/16 = 6.25
100 ounces = 6.25 pounds
100 ounces = 6 pounds + 0.25 pounds
-------
1 pound = 16 ounces
0.25*1 pound = 0.25*16 ounces
0.25 pounds = 4 ounces
------
100 ounces = 6 pounds + 0.25 pounds
100 ounces = 6 pounds + 4 ounces
100 ounces = 6 pounds, 4 ounces
En la figura adjunta se muestra un estuche de brocas de acero que sirven para perforar paredes de cemento. Las brocas están numeradas de menor a mayor tamaño y las dimensiones están dadas en pulgadas.
En la figura, por falta de espacio, se dan solo las dimensiones de las brocas 1 y 12. Se sabe que las demás brocas son de 9/16 de pulgadas, 3/16 de pulgada, 7/16 de pulgada, 5/16 pulgada, 11/16 pulgada, 1/4 pulgada, 3/8 pulgada, 1/2 pulgada, 5/8 pulgada y 1/8 de pulgada.
Identifica la medida de las brocas 2 a la 11 en pulgadas y ordénalas de menor a mayor tamaño.
Answer:
1/16 2/16 3/16 4/16 5/16 6/16 7/16 8/16 9/16 10/16 11/16 12/16
Step-by-step explanation:
Para la identificación de las brocas tenemos dos consideraciones:
1.- Fracciones de igual denominador son mas grandes en orden creciente según vayan creciendo los numeradores, de tal forma que entre
9/16 3/16 7/16 5/16 11/16 el orden es como sigue ( de menor a mayor)
3/16 5/16 7/16 9/16 11/16
2.- Las fracciones con denominadores distintos pueden llevarse a denominador común /16 amplificando la fracción es decir por ejemplo
1/4 = 1*4/4*4 = 4/16
Con ese procedimiento las convertimos todas al caso señalado en el punto anterior y ordenamos
1/4 = 4/16
3/8 = 6/16
1/2 = 8/16
5/8 = 10/16
1/8 = 2/16
Entonces hay diez brocas la primera será 1/16 y la número 12 12/16
Y finalmente el orden es:
1/16 2/16 3/16 4/16 5/16 6/16 7/16 8/16 9/16 10/16 11/16 12/16