Answer:
1.7 (units).
Step-by-step explanation:
1) if the point A has (-0.25;5) and the equation of the given line is -x+2y=14 (Ax+By+C=0), then the required distance can be calculated according to the formula:
[tex]d=\frac{Ax_0+By_0+C}{\sqrt{A^2+B^2} }[/tex] , where A, B and C belong to the given line, x₀, y₀ - coordinates of the given point;
2) A=-1, B=2, C=-14 and x₀=-0.25, y₀=5, then according to the formula above:
[tex]d=|\frac{0.25+5*2-14}{\sqrt{4+1}}|=\frac{3.75}{\sqrt{5}}=\frac{3.75}{2.2}=1.7[/tex]
A pet store has 15 birds and 75 fish.
In simplest form, what is the ratio of birds to fish in the pet store?
O1/6
O1/5
O5/1
I don't know
Answer:
1/5
Step-by-step explanation:
For every bird in the store there will be 5 fish.
Because there is 5 times more fish then birds.
Using the ratio concept, the number of birds to fish expressed as a ratio is 1/5
Given the Parameters :
Number of birds = 15 Number of fishes = 75Ratio of the number of birds to fish can be expressed thus :
Number of birds : Number of fishes15 : 75
Divide both sides by 15
1 : 5
Hence, the ratio of birds to fish is 1/5
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1 (a) (i) Yasmin and Zak share an amount of money in the ratio 21 : 19.
Yasmin receives $6 more than Zak.
Calculate the total amount of money shared by Yasmin and Zak.
(ii) In a sale, all prices are reduced by 15%.
(a) Yasmin buys a blouse with an original price of $40.
Calculate the sale price of the blouse.
Answer: 1(a) $120
(ii a) $34
Step-by-step explanation:
21-19 = 2
$6/2=3
21x 3( one ratio =$3) =63
19x3 = 57
63+57=120 - (1 A ans)
(ii a) 40x0.15 (percentage decrease)= 6
40-6 = $34
The total amount of money shared by Yasmin and Zak is $120.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
(i) The given ratio is 21:19
Let Zak be having $x, the Yasmin will be having $(x+6).
Now, 21/19 = x+6/x
21x=19x+114
2x=114
x= $57
So, x+6= 57+6 = 63$
Total 63+57=$120
(ii) Given that, Yasmin buys a blouse with an original price of $40.
In a sale, all prices are reduced by 15%.
Now, 15% of 40
= 15/100 ×40
= 0.15×40
= 6
New cost =40-6
= $34
Therefore, the sale price of the Yasmin's blouse is $34.
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The sales tax rate is 10%. If Dillion buys a beach umbrella priced at $93, how much tax will he pay
Step-by-step explanation:
90 cents is ur answer i believe
Answer:
9.30$
Step-by-step explanation:
take your number (93$) and multiply it by 10% (.10) which is 9.3, or 9.30$
93 x .10 = 9.3
Hope this helps!
-7 + - 20 please help me i really don't understand
Answer:
-27
Step-by-step explanation:
-7 + - 20
let's not forget that a + and a - is equal to a - therefore all the question really says is ...
-7-20
which is now easier to do and is equal to
= -27
Hope this helped you, have a good day bro cya)
The angle of perspective is important
because
Find the Value of X given the following
Answer:
10
Step-by-step explanation:
2(x+9)+142=180 corresponding angles are equal and angles on a straight line=180
2(x+9)=180-142
x+9=38/2
x=19-9
x=10
If a hole is 7 feet deep and 4 feet wide how much dirt is in the hole?
Answer:
3 is the correct answer tbyvcrdgevzc
if a×b÷2=a÷2 then b =
find the second and third terms of each sequence with the information provided
1) 6_ _ 33
2) 17_ _5
How do I find all the angles?
Step-by-step explanation:
so let's say
•(x + 60) = <a
•2x = <b
so
•<a = <z & <b = <y
&
•<a + <b = 180
(x + 60) + 2x = 180
3x + 60 = 180
3x = 180 - 60
3x = 120
x = 40
• <a = (x + 60)
= 40 + 60
= 100
• <b = 2x
= 2 × 100
= 200
• <y = <b
= 200
• <z = <a
= 100
Step-by-step explanation:
so in a 4 sided figure all the angles measure to 360º in total
as well as in this case due to the two lines being parallel z=x+60 and y=2x
The easiest way for me is to write that all the angles = 360.
x+60+x+60+2x=2x=360
6x+120=300 simplify
6x=180 divide
x=30
so the angles are all 90º if you find each of them
A line passes through the points (-6, -8) and (-3,-7).
What is the equation of the line in Slope-Intercept Form?
A)y=1/3x-6
B) y=3x-6
C)y=1/3x+6
D) y=3x+6
Step-by-step explanation:
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (-6, -8) and (-3,-7), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (-8 - (-7)) ÷ (-6 - (-3))
= -1 ÷ (-3)
= ¹/₃
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-7) = ¹/₃ (x - (-3))
we could also transform this into the slope-intercept form ( y = mx + c)
since y + 7 = ¹/₃ (x + 3)
⇒ y + 7 = ¹/₃ x + 1
∴ y = ¹/₃ x - 6
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
i need help my freind mike hawk with his math how do i help him
Answer:
well you got to tell us what we're helping you with!
Step-by-step explanation:
Answer:
Help him understand the topic and give him a few questions to make sure he understands it then let him to do his homework and correct if something is wrong.
Step-by-step explanation:
what is the length of the diagonal of a rectangle with width 3,5 cm and length 4,5 cm give your answer in simplest surd form
Answer:
Step-by-step explanation:
By Pythagoras:
d^2 = (3.5)^2 + (4.5)^2
d^2 = 12.25 + 20.25 = 32.5
d = √32.5
Find the volume of the cube that measures 3.14 inches by 3.14 inches by 3.14 inches.
Answer:
30.959144 inches^3
Step-by-step explanation:
Voume of cube =l^3
Here, l=3.14, so
V=3.14^3
30.959144 ^3
Answer:
V= a^3 or for one edge it’s really
V ~ 30.96
Step-by-step explanation:
Mr. Edwards went to Six Flags and brought $50. He spent $20 on a souvenir and $10 on food. The rest was spent on a refillable drink at $2.50 per refill. How many refills did Mr. Edwards purchase?
Answer:
8 refills
Step-by-step explanation:
Set up an equation. You know that Mr. E spent his entire $50, so you start by making one side 50. Then, you know that the total is the same as the sum of everything purchased, so on the other side, add the souvenir, the food, and the refillable drink term (2.5x, with x being the number of refills, the thing the question is asking for). This gets you an equation of 50 = 20 + 10 + 2.5x. Isolate x by getting the x term by itself. In this case, you subtract 20 and 10 from both sides, leaving you with 20 = 2.5x. Finally, divide both sides by 2.5 to isolate x completely, leaving you with 8 = x, or x = 8. Don't forget your units (:
Answer:
8 refills
And the answer to the comment question is $175 for each iPhone 11
Step-by-step explanation:
Hope this helps :)
Pls mark brainliest :3
And have an amazing day <3
The area of a fenced in back yard can be 144 square feet. The owners are trying to decide on the dimensions of the back yard, and have decided they want the length to be 10 feet more than its width. What will the dimensions of the back yard be?
A rectangle can be defined as a 4 sided geometric figure. One side of a rectangle is longer than the other sides. A rectangle can also be referred to as a quadrilateral.
The dimensions of the background are given as Width: 8 feet and the Length: 18 feet
The formula for the area of a rectangle is Length x Width.
The question says:
The owners want the length to be 10 feet more than its width. Hence:
L = W + 10
The area of the fenced backyard = 144 square feet.
Hence,
(W + 10) x W = 144
W² + 10W = 144
Rewriting the equation
W² + 10W - 144 = 0
We factorize the algebraic expression above
W² - 8W + 18W - 144 = 0
W(W - 8) + 18(W - 8) = 0
(W - 8) (W + 18) = 0
W - 8 = 0, W = 8
W + 18 = 0, W = -18
Since the width cannot be a negative value, the width of the backyard is 8 feet
Solving for the Length,
L = W + 10
L = 8 + 10
L = 18 feet
The length of the backyard is 18 feet.
Therefore, the dimensions of the backyard are Width: 8 feet and Length: 18 feet.
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Find the equation of the line that passes through (1,4) and is parallel to3x+y+2=0
Answer:
y=-3x+7
Step-by-step explanation:
Step 1:
Make your thing into y=mx+b
3x+y+2=0 is the same as y=-3x-2
Step 2:
Plot your point at (1, 4)
Step 3:
Plot different points using your slope of rise 3 move 1 (remember you have a neg slope so keep that in mind)
Step 4:
Draw your line thru the points.
See below for an image. Hope that helped
Which box plot represents a set of data that has the greatest mean absolute deviation?
A box-and-whisker plot. The whiskers have a range of 9 units, and the box has a range of 6 units.
A box-and-whisker plot. The whiskers have a range of 10 units, and the box has a range of 2 units.
A box-and-whisker plot. The whiskers have a range of 6 units, and the box has a range of 2 units.
Answer:
d
Step-by-step explanation: i took the test and pasted
Answer
Graph 2
Step-by-step explanation:
Find the equation of the circle in standard form given the center, point or radius. Show your solution.
Center (-3,5) & Point (-2,1)
Answer:
(x + 3)^2 + (y - 5)^2 = 17
Step-by-step explanation:
To find the radius: distance from point (-2,1) to the center from point (-3,5).
d = sqrt [(-2 - -3)^2 + (1 -5)^2]
d = sqrt [(-2 + 3)^2 + (1 -5)^2]
d = sqrt (1)^2 + (-4)^2 = sqrt 17
Radius = sqrt 17
Equation of the circle:
(x - h)^2 + (y - k)^2 = r^2
h = 3, k = 5, r = sqrt 17
(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2
(x + 3)^2 + (y - 5)^2 = 17
HELP HELP HELP PLS IM BEGGING IM LITERALLY CRYING I DONT UNDERSTAND
x-intercept 1; y-intercept = 2
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
The equation of any (non-vertical) line can take the form
y = ax + b where a is the slope and b is the y intercept. We know that in this case, the y intercept is 2. So we can substitute b = 2:
[tex]y = ax + 2.[/tex]
Now, to find the x intercept, simply put y = 0 (since every point on the x axis has y = 0) and x = -1, since that is the given x intercept:
0 = -a + 2, so we see that a = 2. The equation is then:
y = 2x + 2
if a 280g with 32 pieces chocolate bar contains 20% of fat. How much fat is in 4 pieces?
Answer:
0.8%
Step-by-step explanation:
4*20%=4*(1/5)=4/5=0.8%
Write 1 and 1/5 and 1 and 1/3 using a common denominator :)
Answer:
1 3/15
1 5/15
Step-by-step explanation:
How do I solve for this?
https://brainly.com/invite/3caaa23db4167cc1029ce1999a411bee?utm_source=invite&utm_medium=link&utm_campaign=bfp_parental_feed&utm_term=parent
Answer:
angle L = 100 degrees
angle M = 110 degrees
angle N = 70 degrees
angle P = 80 degrees
Step-by-step explanation:
find value of 'x' then substitute into each of the four angle expressions
to find 'x', add all expressions and set them equal to 360 (there are 360 degrees in any four-sided polygon)
2x + 20 + 3x - 10 + 2x - 10 + 2x = 360
combine 'like' terms to get:
9x = 360
x = 40
angle L = 2(40) + 20 = 100 degrees
angle M = 3(40) - 10 = 110 degrees
angle N = 2(40) - 10 = 70 degrees
angle P = 2(40) = 80 degrees
Check:
100 + 110 + 70 + 80 = 360
Mrs. Shultz went to New York to do her Christmas shopping. She took a cab to go into the city and they charged her a flat fee of $6 plus $2 for every mile. Mrs. Shultz ended up paying the cab driver $30. How many miles did Mrs. Shultz travel?
Answer:
12 miles
Step-by-step explanation:
30-6=24
24/2=12 miles
Write an expression for each of the following:
a. the sum of 6 and z
b. the difference between 20 and x
c. 8 less than the quotient of x divided by 6
d. x increased by 5 divided by 4
Answer:
6 + z
20 - x
x/6 - 8
5x/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
a.6+z
b.22-x
c.8-x÷6
d.x+15÷4
Which of these is a healthy coping strategy for stress?
A
Writing your thoughts in a journal
B
Not sharing your emotions with anyone
C
Stopping your exercise routine
D
Working very hard without breaks
Answer:
A
writing your thoughts in journal
Zach bought his parents anniversary gifts. His dad's present cost $25. He bought his mom 3 presents (p) that all cost the same amount. If he paid a total of $40, how much did each of his mom's gifts cost?
What is the value of p in the equation?
25 + 3p = 40
Answer:
5
Step-by-step explanation:
What is the square root of 74 rounded to the nearest tenth
The square root of 74 rounded to the nearest tenth is gotten as; 8.6
How to find the Square root of a number?
We want to find the square root of 74.
This square root of 74 is expressed as;
√74
Now, the value of that square root is;
√74 = 8.6023
Now, we want to approximate to the nearest tenth and thus we will have the approximation as; 8.6
Read more about square root at; https://brainly.com/question/98314
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Tom and Sean are window cleaners. Tom cleans 7 windows and Sean cleans 5 windows. Altogether they earn £36. How much will Tom get if they share the money in the same ratio as the number of windows they have cleaned?
Step-by-step explanation:
The total of windows they have cleaned = 12
They have cleaned 12 windows = they earn £ 36.
If they have cleaned 1 window = they earn 36/12 = £3.
So Tom have cleaned 7 windows = Tom earn = 3 * 7 = £21.
Please give me a brainliest answer
PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE REPORTED
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 4(1.08)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent? (4 points)
9514 1404 393
Answer:
0 ≤ m ≤ 70.4541 cm/month; average rate of growth over last 4 months of studyStep-by-step explanation:
Part A:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
Part B:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
Part C:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.