How do i solve and graph 3/4x + 8 < 41 on a number line
Answer:
get the inequality first ! x<44
Step-by-step explanation:
3/4x+8<41 ( subtract 8 from both sides. 8 cancels out. and 41-8=33 )
3/4x<33 ( multiply both sides by 4/3)
3/4 ×4/3 = 1
33×33 =44
x<44
and to graph it your line should have a open circle on 44 and point to the left.
kinda like this:
<—————○
Brainliest reward …… please quick
Answer:
3 boxes of fertilisers.
Solving steps:
Part A:
Area of the garden, rectangle:
Length * Width
12 * 7
84 m²
Area of patio:
[tex]\sf{\frac{1}{2} * base *height[/tex]
[tex]\sf{\frac{1}{2} * 6*3[/tex]
[tex]\sf{9[/tex] m²
Area of grass:
Area of the garden - Area of patio
84 m² - 9 m²
75 m²
Part B:
32 m² ↔ 1 box
1 m² ↔ [tex]\sf{ \frac{1}{32}[/tex] box
75 m² ↔ [tex]\sf{ \frac{1}{32} *75[/tex] boxes
75 m² ↔ 2.34375 boxes
As she cannot buy exact 2.34375 boxes.She should buy 3 boxes of fertilisers.
Answer:
3
Step-by-step explanation:
First, calculate the total area of the grass by calculating the area of the rectangle and the triangle, and then subtracting the triangle area from the rectangular area:
area of rectangle = width x length
⇒ area of rectangle = 7 x 12 = 84 m²
area of triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 6 x 3 = 9 m²
total area of the grass = area of the rectangle - area of triangle
⇒ total area of the grass = 84 - 9 = 75 m²
Given one box of fertilizer = 32 m² grass
⇒ boxes of fertilizer needed = area of grass ÷ 32
= 75 ÷ 32
= 2.34375
Therefore, Mrs Kunal will need 3 boxes of fertilizer.
We need to round up to 3 rather than round down to 2, else she won't have enough to cover the entirey of the grassed area.
The sum of the squares of 4 consecutive integers is an even integer.
Answer:
yes
Step-by-step explanation:
Let's call the first integer n and let's compute.[tex]n^2 + (n+1)^2 + (n+2)^2 +(n+3)^2 = \\n^2 + \\n^2+2n+1 + \\\ n^2+4n+4 + \\\ n^2+6n+9+\\\ n^2+8n+16 =\\4n^2+20n +30 = 2 (2n^2+10n+15)[/tex]
Which is indeed of the form 2(something), so it is even.
Hello I need help on this math question
Answer:
50.24 cm
Step-by-step explanation:
A = pi r^2
A = 3.14 (4^2)
A = 3.14 (16)
A = 50.24 cm
Answer:
[tex]A=50.24cm^2[/tex]
Step-by-step explanation:
[tex]A=\pi r^2[/tex]
d = 8
r = d/2 r = 8/2 = 4
[tex]A=\pi (4^2)[/tex]
[tex]A=\pi 16[/tex]
[tex]A=3.14(16)[/tex]
[tex]A=50.24cm^2[/tex]
Hope this helps!
A pole 12 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Xin measures the distance from
the pole to the stake and from the pole to the tower, as shown in the diagram below.
Find the length of the guy wire, to the nearest foot.
Answer:
122ft
Step-by-step explanation:
(Note that this is just a logical guess, I do not remember learning how to do this)
We are given the length of the pole and the length of the guy wire after the pole. This gives us a right angle triangle where we know two of the sides. We can the other two sides into the Pythagorean theorem to solve for the diagonal side
recall:
[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]
plugged in 12ft and 2ft we get:
[tex] {(12)}^{2} + {(2)}^{2} = 148[/tex]
to solve for the diagonal side we take the square root of 148
[tex] \sqrt{148} = 12.17[/tex]
so now we know that 12.17 ft of wire is equivalent to 2 feet on the ground.
[tex] \frac{12.17ft \: wire}{2 \: ft \: ground} [/tex]
We have a total of 20 feet, so we multiply this proportion by 20:
[tex] \frac{12.17}{2} \times 20 = 121.7[/tex]
we are asked to give to the nearest foot so we round up to 122ft
Evaluate 2/ 3 ÷ 4 /5 Give your answer as a fraction in its simplest form.
Step-by-step explanation:
Our problem:
[tex] \frac{2}{3} \div \frac{4}{5} = unknown[/tex]
How to solve?
Find the reciprocal (opposite) of 4/5, then multiply. Simplify if necessary.
Find the reciprocal:
[tex] \frac{2}{3} \times \frac{5}{4} = unknown[/tex]
Multiply:
[tex] \frac{2}{3} \times \frac{5}{4} = \frac{10}{12} [/tex]
Simplify:
[tex] \frac{10 \div 2}{12 \div 2} = \frac{5}{6} [/tex]
5/6 is your answer.
Find each unknown angle measurement.
Answer:
angle(2) = 118 degree
angle(3) = 118 degree
angle(4) = 62 degree
Step-by-step explanation:
To find angle 2 :
[tex]62 + angle{2} = 180 \\ angle{2} = 180 - 62 = 118 \: degree[/tex]
The rule (head to head):
angle(2) = angle(3) = 118 degree
And the last one is angle(4) which is the same thing:
angle(4) = angle(1) = 62 degree
What is the area of the polygon
Answer:
42m2
Step-by-step explanation:
9x4=36m2
3x2x0.5=3m2x2=6m2
36+6=42m2
can 8 11 and 14 be sides lengths of a triangle
Answer:
yes
Step-by-step explanation:
For the lengths to be the sides of a triangle.
The sum of any 2 must be greater than the third.
8 + 11 = 19 > 14
8 + 14 = 22 > 11
11 + 14 = 25 > 8
Then the 3 lengths can form the sides of a triangle
Answer:
Yes, it can be the sides of a scalene triangle.
Step-by-step explanation:
Because the sides and the angles of a scalene triangle are different.
Please help! 20 points thanks :)
Answer:
C) [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
Slope can be found using the change in y over the change in x
-> See attached, it is difficult to type out here
[tex]\frac{-5--2}{3--1} =\frac{-5+2}{3+1} =\frac{-3}{4}[/tex]
Giving us an answer of C) [tex]\frac{-3}{4}[/tex]
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can plug the given coordinates into the equation:
[tex]Slope=\frac{-5-(-2)}{3-(-1)}=\frac{-5+2}{3+1}=\frac{-3}{4}=-\frac{3}{4}[/tex]
Please help it’s due in Half an hour (30 min)
Answer:
5
Step-by-step explanation:
I se you labeled the points, the distance between them can be found by adding the distances from 0:
5/2 + 5/2
Since they have the same denominator we can just add the numerators:
5 + 5 = 10
So 10/2, which can be simplified into 5 since 10 goes into 2, 5 times.
Hope this helps!! :)
12/40 in simplest form?
What is the value of x?
\log _3x=4
Answer:
x = 81
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
given
[tex]log_{3}[/tex] x = 4 , then
x = [tex]3^{4}[/tex] = 81
9. a) A tile is a square of side 20cm . How many such tiles would be required to cover the floor of a square bathroom of side 3m
Answer:225 tiles
Step-by-step explanation:
area of floor=number of tile * area of each tile
side*side= x *(side*side)
300*300=x * (20*20)
300/20*300/20=x
15*15=x
225=x
Help please!!!!!!!!!!!!
Step-by-step explanation:
1.
the y-intercept comes automatically from the given form, as the y-intercept is the y value when x = 0.
so, in
x² - 12x + 46
the y-intercept is 46, or as point (0, 46).
now to the vertex form and vertex itself.
the vertex form for such a quadratic equation is
y = a(x - h)² + k
with (h, k) being the vertex.
since we have a plain x² term in the basic expression, "a" must be 1.
so, we have the simpler version
y = (x - h)² + k = x² - 2hx + h² + k
so, let's compare this with our basic expression, and we see
-2h = -12
h = 6
h² + k = 46
6² + k = 46
36 + k = 46
k = 10
so, the vertex form is
y = (x - 6)² + 10
and the vertex is (6, 10)
2.
the equating of a circle is
(x - x1)² + (y - y1)² = r²
with (x1, y1) being the center of the circle, and r being the radius.
so, the center is then (3, -3), and the radius is sqrt(36)=6.
3.
as explained in 2. this would be
(x - 4)² + (y + 9)² = 3² = 9
4.
x² + y² + 6x - 2y + 9 = 0
this has to turn into
(x - x1)² + (y - y1)² = r²
x² - 2x×x1 + x1² + y² - 2y×y1 + y1² = r²
x² - 2x×x1 + x1² + y² - 2y×y1 + y1² - r² = 0
"x² + 6x" suggests that for x1 of the first term
6x = - 2x×x1
x1 = -3
and "y² - 2y" suggests for y1 of the second term
-2y = -2y×y1
y1 = 1
that gives us for the constant terms and radius
x1² + y1² - r² = 9
(-3)² + 1² - r² = 9
9 + 1 - r² = 9
1 - r² = 0
r² = 1
r = 1
so, the standard circle equation is
(x + 3)² + (y - 1)² = 1
1. eight more than a number 14. find the number
2. number decreased by 12 is 9. find the number
3. 20 subtracted from walters age is 24. find walters age
4. ten more than twice as jose's age is 24. find jose's age
5. if number increased by 15, the result is the same as two times the number
pls kailangan ko po answer
1. Eight more than a number 14 -> 14 + 8 = 22
2. Number decreased by 12 is 9 -> 9 + 12 = 21
3. 20 subtracted from walters age is 24 -> 24 + 20 = 44
4. Ten more than twice as jose's age is 24 -> (24-10)/2 = 7
5. x + 15 = 2x -> x = 15
This hip-hop group shares its name with a vegetable
A. The Green Peas
B. Pea Soup
C.The Black-Eyed Peas
D.Lovely Peas
Determine Mrs chaukes annual income if she earns 32040 per month
Answer:
384,480
Step-by-step explanation:
32040 x 12 = 384,480
Mrs. Chaukes annual income is 384,480.
Data
Monthly Income = 32,040Annual income = ?What is Annual IncomeThis is the total amount earned in a given year. It is often calculated as the sum of your monthly income throughout the 12 known months in a calendar year.
To find Mrs. Chaukes annual income, we simply need to multiply her monthly income by 12 to get that answer.
[tex]32040 * 12 = 384480[/tex]
Mrs. Chaukes annual income is 384,480.
Learn more on annual income here;
https://brainly.com/question/13793671
anything will help please
The way that I memorised how to do sin, cos, and tan is by the following: SOH, CAH, TOA
SOH = Sin is OPPOSITE / HYPOTENUSE
CAH = Cos is ADJACENT / HYPOTENUSE
TOA = Tan is OPPOSITE / ADJACENT
For example if we were to solve question 5
Sin T = 6 root 2 / 19
Cos T = 17 / 19
Tan T = 6 root 2 / 17
Repeat the steps for question 6
For the rest of the questions (7,8,9) you have to take the information given and figure out if you should us Sin, cos, or Tan. then plug the numbers in the calculator and while doing sin ^ -1, cos ^ -1, tan ^ -1
for example on question 7, to find the angle x they have given you the hypotenuse and the adjacent side so
cos x = 9 / 18
to find x plug: cos^-1 (9/18) in the calculator
Can a triangle have sides with the given lengths?
(a) 4, 7, 10
(b) 8, 9, 17
Answer:
yes it can be scaline triangle
Antonio, Pedro y Juan quieren comprar una tienda de campaña. Pedro tiene el triple de dinero que Juan y
Antonio tiene la mitad de lo que tiene Pedro. Si entre todos tienen $2 200.00, ¿cuánto tiene cada uno?
Ecuación
Resultado
Datos
Answer:
DO you speak english
Step-by-step explanation:
Pedro has 1200.00
Juan has 400.00
Antonio has 600.00
If you deposit $8300 earning 2% interest compounded continously, how much would you have after 6 years?
What is the equation for the line in slope-intercept form?
Answer:
the equation is y = 8x
Step-by-step explanation:
so rn we know that the y-intercept 0 so we can write:
y = mx
now to find the slope we need to use the equation y2 - y1/ x2 - x1
lets use the points
(2, 16) and (-2, -16) sooo
16 - (-16) / 2 - (-2)
32/4
8
Trey weighs 7 pounds less than his brother. Together they weigh 119 pounds. How much does Trey weigh?
Answer:
56
Step-by-step explanation:
T+B = 119
T=B-7
B-7 + B = 119
2B = 126
B = 63 years old
T= 63-7 = 56 years old
HELP PLEASEㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
A. B ⇔ Y
Step-by-step explanation:
The names of congruent triangles list corresponding vertices in the same order. Here, when we say ΔABC ≅ ΔXYZ, we mean the triangles have corresponding vertices ...
A ⇔ X
B ⇔ Y . . . . . . answer choice A.
C ⇔ Z
1) -8^2
2) (-8)^2
3) (-7)^2
Answer:
-64
64
49
Step-by-step explanation:
you didn't give any directions so i assume i am supposed to evaluate
The question is in the image, so please help me. I don't understand it.
Answer
I think its 'cant be done'
Step-by-step explanation:
The car drove at a speed of 444.8 miles in
8 hours. How fast does this car drive per hour?
If y varies inversely as x and x=5 when y=20, then what is the constant of variation, k?
Answer:
k=100
y the varies inversely as x
[tex]y \alpha {x}^{ - 1} [/tex]
that is y is equal to inverse of x
introducing a constant k, you have
[tex] k = x \times y \\ 5 \times 20 \\ 100[/tex]
1+1 x 12+1348 please help
Answer:
1,372
Step-by-step explanation:
Because what is 1 + 1
1 + 1=2 what is 2 x 12
12 x 2=24 what is 1,348 + 24
1,348 + 24 =1,372
Hope this helps have a great day:)
Answer:
1361Step-by-step explanation:
1+1 x 12+1348 please help
PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. For any expression, all exponents should be simplified first, followed by multiplication and division from left to right and, finally, addition and subtraction from left to right.
1 + 1 * 12 + 1348 =
1 + 12 + 1348 =
13 + 1348 =
1361