Answer:
a=28/5 or 5.6
Step-by-step explanation:
2a/7=a-4
Multiple both sides of the equation by 7
2a=7a-28
Subtract 7a from both side
2a-7a=-28
Like Term
-5a=-26
Divide -5 from both side
a= 5.6
Need help on number 3 please!!
Answer:
f(x) - g(x) = x - 3
Step-by-step explanation:
f(x) - g(x) starting with the basic equation
2x - (x + 3) implementing the values into equation
x - 3 subtracting x and 3 from 2x making 2x into 1x (or just x) and making a negative 3
Question: Find the equation of the circle whose diameter is the segment between the intercepts of 3x + 4y = 24.
If you can answer this please explain the steps so I can understand, please and thank you so much!
Answer:
[tex](x-4)^2+(y-3)^2=25[/tex]
Step-by-step explanation:
We want to find the equation of a circle who diameter is the segment between the intercepts of the linear equation:
[tex]3x+4y=24[/tex]
Find the intercepts first. To find the x-intercept, let y = 0:
[tex]3x+4(0)=24\Rightarrow 3x=24\Rightarrow x=8[/tex]
The x-intercept is (8, 0).
To find the y-intercept, let x = 0:
[tex]3(0) +4y=24\Rightarrow 4y=24\Rightarrow y=6[/tex]
The y-intercept is (0, 6).
Since this segment is the diameter, its midpoint is our center.
Find the midpoint between (8, 0) and (0, 6). The midpoint formula is given by:
[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]
Hence, the center of the circle is:
[tex]\displaystyle M=\left(\frac{8+0}{2}, \frac{0+6}{2}\right)=(4, 3)[/tex]
To find the radius of our circle, we can find the diameter and divide it by two.
The diameter is the length of the segment or the distance from (0, 6) to (8, 0).
Find the distance using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
So, the diameter of our circle is:
[tex]d=\sqrt{(8-0)^2+(6-0)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]
Therefore, the radius of our circle is 5.
The equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where (h, k) is the center and r is the radius.
Our center is (4, 3) and our radius is 5.
Therefore:
[tex](x-4)^2+(y-3)^2=25[/tex]
what is the smallest number
5/3, 6/5, .9, 1, 1.3, 7/5
A. 5/3
B. 1.3
C. 7/5
D. .9
E. 6/5
F. 1
offering all my points this is needed!!!
Raj is travelling to another country.
He flies for 5 hours at an average speed of 950 km/h on one plane.
He then flies for 6 hours 30 minutes at an average speed of 830 km/h on a second plane.
What is the total distance, in km, he travelled by plane?
Answer:
9,315 km
Step-by-step explanation:
Recall that distance = rate times time.
The distance flown at 950 km/h is (950)(5) km = 4,740 km
and:
The distance flown at 830 km/h is (830)(5.5) km = 4,565 km
Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km
NUM ALDITORIO HA 224 CADEIRAS ORGANIZADAS EM 8 FILEIRAS COM A MESMA QUANTIDADE DE CADEIRAS QUANTAS CADEIRAS HA EM CADA FILEIRA
Answer:
The number of chains in each fileiras = 28.
Step-by-step explanation:
Total number of chains = 224
Number of fileiras = 8
Number of chains in each fileiras is given by the divison of total number of chains to the number filerias.
[tex]\frac{224}{8}\\\\=28[/tex]
tamara find the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should tamara expect the sum of the two cubes be equal to 5 if she rolls the two number cubes 144 times?
Answer:
the answer would be 20 :)
Step-by-step explanation:
Write each absolute value in a box to show the order from least to greatest.
Answer:
From least to greatest: -12 -8 -2 5 11
Step-by-step explanation:
Please mark brainliest have a good day and i hope i helped :)
Answer:
(11)=(3)-(1)+(6)=6
Step-by-step explanation:
Triangle PQR is similar to triangle XYZ. The length of PQ is one-half the length of XY. THe length of RP is 2 cm. Which proportion can be used to find the length of ZX?
Answer:
[tex]ZX = 4cm[/tex]
Step-by-step explanation:
Given
[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex]
[tex]PQ = \frac{1}{2}XY[/tex]
[tex]RP = 2cm[/tex]
Required
Find ZX
[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex] implies that, the following sides are similar
[tex]PQ \to XY[/tex]
[tex]QR \to YZ[/tex]
[tex]RP \to ZX[/tex]
To find ZX, we make use of the following equivalent ratio
[tex]PQ : XY = RP : ZX[/tex]
Where
[tex]PQ = \frac{1}{2}XY[/tex]
[tex]RP = 2cm[/tex]
So, we have:
[tex]\frac{1}{2}XY : XY = 2cm : ZX[/tex]
Express as fraction
[tex]\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}[/tex]
[tex]\frac{1}{2}= \frac{2cm }{ ZX}[/tex]
Make ZX the subject
[tex]ZX = 2 * 2cm[/tex]
[tex]ZX = 4cm[/tex]
Mrs. Smith is creating a rectangular flower bed such that the width is half of the
length. The area of the flower bed is 34 square feet. Write and solve an equation
to determine the width of the flower bed, to the nearest tenth of a foot.
Answer:
As for this problem, we will first establish that the length of the flower bed be represented as x, the width of the flower bed be represented as x/2 ,and the area of the flower bed be taken as it is since it is given. We then follow the formula for area which is length multiplied to width which is:
A = LW
we then substitute them
34 square feet = x (x/2)
now all we need to do is find x first.
34 square feet = x squared / 2
now do a cross multiplication
68 square feet = x squared
then get the square root of both sides
8.246 feet = x
Since x is equal to the length of the flower bed, all we have to do to get the width of it is to divide it by 2. So...
W = x/2
W = 8.246 feet / 2
W = 4.123 feet
And since the problem asked it to find the width of the flower bed to the nearest tenth of a foot, the answer would be 4.1 ft.
If 2.25 kg of tomatoes costs $6.98, how much will you pay for 8 kg
Answer:
I don't understand kbhuo
Applying L'Hospital's rule is not allowed
Answer:
-1/2
Step-by-step explanation:
lim x-> π/2 cos x /(2x-π) =
lim (x-π/2)->0 sin (π/2 - x) /2(x-π/2) =
lim (x-π/2)->0 - sin (x - π/2)/2(x-π/2) = -1/2
John gets paid $76 a day at his new job printing t-shirts. He also earns $2.50 for every t-shirt sold. Create
and equation to describe how much money John makes in a day. Write the equation for this problem in
function notation. Then interpret how much money John would makes in one day after selling 32 t-shirts.
Make sure to define your variables and show all of your work.I swear who ever answers this I will Give them brainlist please help
Answer:
y=76+2.5x where y is the amount he earns in a day and x is the number of tshirts sold
y=76+2.5(32)
y=76+80
y=156
he earns 156 dollars if he sold 32 tshirts
Step-by-step explanation:
Alexandra worked 5 hours, 4.5 hours, and 2.5 hours. The mean number of hours worked was 4. What is the mean absolute deviation?
Answer:
1
Step-by-step explanation:
5-4 = 1
4.5-4 = 0.5
2.5-4 = -1.5 but use absolute value which is +1.5
add all three values together:
1 + 0.5 + 1.5 = 3
3÷3 = 1
Lily weighs 57.7 kg while her sister weighs 59.02 kg, how much more does Lily's sister weigh then her? Please provide the calculation!
PLZ HELP ASAP
If the surface area of the rectangular prism is 224 cm 2 , what is the height?
8 cm
10 cm
6 cm
12 cm
the height of the prism is 12 centimeters
Question 2
Find the equation of the line parallel to y = x - 2 that passes through the point (-3,2).
Answer:
The equation of the required line is y = x + 5
Step-by-step explanation:
The equation of the given line is y = x - 2
The required line = A line parallel to the given line
The point through which the required line passes = (-3, 2)
The general form of the equation of a straight line, is y = m·x + c
Where;
m = The slope of the line
By comparison, the slope of the given line, m = 1
When two lines are parallel, their slope are equal
Therefore, the slope of the required line = m = 1
The equation of the required line in point and slope form is therefore;
y - 2 = x - (-3) = x + 3
∴y = x + 3 + 2 = x + 5
The equation of the required line is therefore;
y = x + 5.
Please help with these 2 problems, fill in the blank
Answer: a. -6x
b. 3a; -3a2 (square) ; - 6
Step-by-step explanation:
Factor the expression 9x^2 - 30x + 25 I need help
Answer:
(3x - 5)²
Step-by-step explanation:
When we expand (3x - 5)², we get:
(3x - 5) (3x - 5)
When we multiply, we get:
9x² - 30x + 25
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Answer:(3x-5)(3x-5)
Step-by-step explanation: it's the answer for
PLEASE SOMEONE HELP ME WITH THESE QUESTIONS I'VE BEEN STUCK ON HERE FOR SO LONG
Answer:
# means number
Step-by-step explanation:
Distance = Y-axis or output
Cost= X-axis or input
you do not need to add the brackets for the formula(BEDMAS), but it makes things clearer
For A -
the Y-intercept is where the first coordinate, or the # or the X-axis, is 0 (on the graph the y-intercept 0,4)
For B -
y = mx + b
m = slope
x = input or # on the X-axis
b = y-intercept
or
formula = (input x increase in the slope) + output for 0 or (distance x increase in cost) + output for 0
input(x axis) output(y axis)
0 5 ← output for 0
1 9
2 13
there is a +4 increase in the slope, the increase in the slope is an output #(in this case 9) - the previous output number (in this case 5)
formula = (input x increase in the slope) + output for 0 = distance
formula in use = (3 x 4) + 5 = 17
For C:
The dependent variable is the output or the cost because the input or the distance will determine the cost travelled. Eg. if I travel 9 miles it will cost $41. If the dependent variable is the cost then the independent variable is the distance
For D: (input x increase in the slope) + output for 0
(4.2 miles x $4) + 5
16.8 + 5 = $21.8; It will cost $21.8 to travel 4.2miles
For E: (distance x increase in cost) + output for 0
(? x 4) + 5 = 14
(14 - 5) = 9
9 ÷ 4 = 2.25miles; with 14 dollars I could travel 2.25 miles
(It is a bit confusing lol, but this is the way I understand it, if you can't understand it this way then use y = mx + b)
Find the coordinates of the
x
-intercepts for the equation of the graph below.
y
=
x
2
+
9
x
Answer:
Step-by-step explanation:
How to add a great answer
ADD YOUR ANSWER
Question
Find the coordinates of the
x
-intercepts for the equation of the graph below.
y
=
x
2
+
9
x
The cost of Cynthia's dinner is $15.20. She pays an additional tip that is 20% of the cost of the dinner. What is the best estimate for the amount of the tip?
Answer:
$3 (not exact, this is an estimate)
Step-by-step explanation:
Since it is estimate, it is not the exact amount. 20% is 1/5 and 15/5 = 3 so 1/5 or 20% is 3. the best estimate for the amount of tip is $3.
Bird A has the genotype ll for bill length, and Bird B is LL. The bills of their offspring would be
Answer:
false
Step-by-step explanation:
it is false bird a has the genotype ll for bill length and bird b is LL. A short bill describes bird a's genotype
Which graph shows the solution to the system of linear inequalities?
x+5y>5
Y<2x+4
PLEASE HELP!!!
Answer:
x+5y >5 => red
y< 2x+4 => blue
Step-by-step explanation:
you can substitute x and y in each inequality to determine
A computer store bought a program at a cost of $40 and sold it at a selling price of $32.5. Find the percent markdown (Rounded to a whole number) .
Answer:
answer is 18.76 percent.
Step-by-step explanation:
CP= $40
SP= $32.5
Markdown percent=?
now,
markdown %= CP-Sp/CP×100%
=7.5/40×100%
=750/40
=18.75%
The amount to be reduced is: $40 - $32.5 = $7.5
The percentage decrease is: (7.5 : 40) * 100 = 18.25%
2w - 5 = 8
W =
Plllssssss helppoo
Answer:
w = 13/2 or 6.5
Step-by-step explanation:
2w - 5 = 8
Add 5 to each side
2w - 5+5 = 8+5
2w = 13
Divide by 2
2w/2 = 13/2
w = 13/2 or 6.5
Answer:
13/2
Step-by-step explanation:
the steps are in the screenshot attached.
Find the radius y of circle C, given that x = 12 and z = y + 8.
PLEASEEE HELP ME
The radius of the given circle is 5, option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given figure, y is the radius.
By pythagoras theorem we find the radius
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
AC²+AB²=BC²
y²+12²=(y+8)²
y²+12²=y²+64+16y
144=16y+64
Subtract 64 from both sides
144-64 = 16y
80=16y
Divide both sides by 16
y=5
Hence, the radius of the given circle is 5, option C is correct.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
1.en cada unos de los siguientes monomios identificó el coeficiente y la parte literal , halló el grado y el valor numérico para los valores . ×=3,Z =5. (a) 3ײ (b) 4ײ y (c) - 5ײy²z².
porfa me ayudan
What type of graph uses intervals to show the frequency of data?
+
A. Bar graph
B. Line graph
C. Histogram
O D. Circle graph
SUB
Which pair of angles is complementary?
V
31°
56°
699
340
o
Find the distance between the points (6, –3) and (4,3).