Answer:
The value of the larger number is
[tex]x=24[/tex]
Step-by-step explanation:
A number, x, is 4 times another number, y.
[tex]x=4y[/tex] --------- (1)
The difference between the two numbers is 18.
[tex]x-y=18[/tex] -------(2)
Re-arranging equation (2) yields
[tex]-y=18-x\\y=x-18[/tex]------------- (3)
Substitute y=x-18 in equation (1)
[tex]x=4 (x-18)[/tex]
[tex]x=4x-72\\x-4x=-72[/tex]
[tex]-3x=-72\\x=\frac{72}{3}\\x=24[/tex]
Substitute x=24 in equation (3)
[tex]y=24-18\\y=6[/tex]
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high.
What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?
A
[tex]1\frac{3}{4}[/tex] feet
B
[tex]2\frac{3}{4}[/tex] feet
C
[tex]5\frac{1}{4}[/tex] feet
D
8 feet
Answer:
A is the answer
Step-by-step explanation:
I think
H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.
Answer:
H in terms of c is H = 5c³.
Step-by-step explanation:
Given that:
H = 40 and c = 2
H varies directly to the cube of c.
Which means that,
H ∝ c³
Let,
k be the proportionality constant.
H = kc³
Putting H=40 and c=2
[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]
Dividing both sides by 8,
[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]
Now,
H in terms of c.
H = 5c³
Hence,
H in terms of c is H = 5c³.
A bag contains 5 red marbles, 3 green marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 50 times. What is a reasonable prediction for the number of times a red or green marble will be drawn? a. 5 b. 40 c. 8 d. 20
Answer:
i think option b is correct
Step-by-step explanation:
y = –2x2 + 8x - 3
help :c
Answer:
8x-7
Step-by-step explanation:
-4+8x-3
8x-4-3
8x-7
Name two planes that intersect in SW in the
figure to the right
Plane XTS and Plane VRS
A option
The Ferrer family is taking a vacation. During their vacation they will drive a total of 686 miles per hour. Which equation best describes how many, m, miles are left after driving, h, hours?
?????????????????????????????
Answer:
73°
Step-by-step explanation:
Angles on a straight line add up to 180°
angle ABC= 180-146= 34°
Angles in a traingle add up to 180°
180-34= 146°
y= 146÷2= 73°
hope it helps! please mark me brainliest
thank you! have a good day ahead
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Answer:
Option D (73°)
Step-by-step explanation:
According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.
So, according to the question -
[tex]y + y = 146[/tex]
[tex] = > 2y = 146[/tex]
[tex] = > y = \frac{146}{2} = 73[/tex]
the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)
Answer:
h = 14.5 ft
Step-by-step explanation:
Apply trigonometric ratio formula to find h:
reference angle = 46°
Opposite side = h
Adjacent side = 14 ft
Thus:
Tan 46 = h/14
Multiply both sides by 14
14*tan 46 = h
h = 14.4974243
h = 14.5 (nearest tenth)
The function f(x)f(x) is graphed below. Determine whether the degree of the function is even or odd and whether the function itself is even or odd.
Answer:
The degree is even and the function is even.
Step-by-step explanation:
The graph is a parabola, indicating that the degree is even.
The defintion of an even function is that f(x)=f(-x), and by observing the graph of the function, we will be able to verify that f(x)=f(-x). It is therefore an even function.
The degree of the function is even and the function will be even.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is graphed below.
The graph of the function is parabolic whose vertex is at (0, -30). And the curve is passing through the x-axis.
Then the equation of the curve will be
f(x) = ax² - 30
Where a is the leading coefficient.
Then the degree of the function is even and the function will be even.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
h(n) = 3^n+3; Find h (3n)
Answer:
The option which you chose is absolutely right.
Step-by-step explanation:
h(n) = 3^ n + 3
h(3n) = 3 ^3n + 3
Hope it will help :)
hi, can you please do these? thanks for helping!
Answer:
i will answer you other if u rate me brainliest
Answer: (A) 1/10: 5 9/10 :5/6
(B) 3 3/4: -2 7/50
(C) 8 5/8 : 4/9
(D)2 2/5: 2 67/210: -2 2/3
(E)-1 1/2 : 81/128
Step-by-step explanation:
hopes this helps
i bet nobody will anser this =P. Solve 52.425 divided by 0.5
Answer:
104.85
Step-by-step explanation:
c:
Answer:
104.85
Step-by-step explanation:
52.425/0.5=104.85
10.8 as a fraction please answer
Answer:
1 2/8 or 10/8
Answer: 54/5
Step-by-step explanation:
if the mean of 6 7 13 and 10 is 8 find rangeif the mean of 67 13 and 10 is 8 find range
Answer:
The range is: 7
Step-by-step explanation:
Given the data set
6, 7, 13, 10
Sorting in ascending order
6, 7, 10, 13
We know that the range is the difference between the highest and lowest values in a set of numbers.
Here:
Highest Value = 13Lowest Value = 6Thus,
Range = Highest Value - Lowest Value
= 13 - 6
= 7
Therefore, the range is: 7
hii can someone help with this pls :)
i think it’s (0.6,2.8) but i’m not sure so can someone confirm
Answer:
[tex]R(x,y) = (0.8,-1.2)[/tex]
Step-by-step explanation:
The coordinates of QS are:
[tex]Q(x_1,y_1) = (-2,-6)[/tex]
[tex]S(x_2,y_2) = (5,6)[/tex]
The ratio is represented as:
[tex]R_{m:n} = 2:3[/tex]
Required
Find the coordinates of R
The coordinates of R is calculated by:
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Substitute values for m, n, x's and y's
[tex]R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})[/tex]
[tex]R(x,y) = (\frac{4}{5},\frac{-6}{5})[/tex]
[tex]R(x,y) = (0.8,-1.2)[/tex]
None of the options is correct
20b<300 solve the inequality and graph the solution
Answer: b<15
Step-by-step explanation: Divide each term by
20 and simplify inequality form: b<15
A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days
9514 1404 393
Answer:
60 inches
Step-by-step explanation:
The total amount of rain received was ...
(2 in/day)(3 day) = 6 in
The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...
(6 in rain) × (10 in snow)/(1 in rain) = 60 in snow
The city would have received 60 inches of snow.
subtract -2x from -8x.
Answer:-6x
Step-by-step explanation:
=-8x-(-2x)
=-6x
Hope it helped you.
Plz mark me brainliest.
Answer:
-6x
Step-by-step explanation:
-8x - (-2x)
-8x + 2x
-6x
. What is the value of x in the equation .5(x-2) = 3(x-4) - 14?
Answer: -8
Step-by-step explanation:
Solve for x
5 (x − 2) = 3 (x − 4) − 14
5x − 10 = 3 (x − 4) − 14
5x − 10 = 3x − 12 − 14
5x − 10 − 3x = −26
2x = −26 + 10
2x = −16
x = −8
Answer:
answer of this equation is (-8)
:-))
Solve for p.
p - 879 = -284
p =
In the circle, O is the centre and AB is a diameter.
a) Work out the size of angle a.
b) Work out the size of angle b.
Answer:
Step-by-step explanation:
Answer:
a). m∠a = 62°
b). m∠b = 118°
Step-by-step explanation:
a). Since, an angle inscribed in a semicircle is a right angle,
m∠ACB = 90°
By triangle sum theorem in ΔABC,
m∠CAB + m∠ACB + m∠ABC = 180°
28° + 90° + m∠ABC = 180°
118° + m∠ABC = 180°
m∠ABC = 180°- 118°
a = 62°
b). Since, quadrilateral ABCD is a cyclic quadrilateral,
m∠ADC + m∠ABC = 180°
b + a = 180°
b + 62° = 180°
b = 180° - 62°
b = 118°
3h+5 when h =4 23 points
Answer:
3*4= 12 12+5=17
Step-by-step explanation:
hav a great day :P
Answer:
17
Step-by-step explanation:
3h + 5 h=4
plug in 4 for h
3(4) + 5
12 + 5
17
Hope this Helps!!!
Times it by 6 and take away 10 and the result is 44
Answer:
(for your second question) 23.69
Step-by-step explanation:
Help foR 100 pointttttttt
Answer:
nothing is here you'd have to put something to see if people can help
Answer:
ye
Step-by-step explanation:
3x + 2z - 4y - 6 + 4z + 7y
x = 2, y = 1, z = -3
plz help me with this. this is a substitution question. plz show all steps to this question. Thank You!
Answer:
3x(2z+4z)+(−4y+7y)−6
Step-by-step explanation:
1 Collect like terms.
3x+(2z+4z)+(−4y+7y)−6
2 Simplify.
3x+(2z+4z)+(−4y+7y)−6
3x+6z+3y−6
Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.
Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet
Which function shows a fabric with a price of $1.25 per square yard?
Answer:
D
Step-by-step explanation:
Write the equation of the function on the graph.
Answer:
[tex] \huge \boxed {y = |x| + 3}[/tex]
Step-by-step explanation:
Similar to Parabola, except this is Modulus Function.
[tex] \boxed {y = a |x - h| + k} \\ a \: = slope \\ h = move \: \: to \: \: x - axis \\ k = move \: \: to \: \: y - axis[/tex]
From the graph. The graph doesn't have any movement/transformation to x-axis, only y-axis. The graph only shifts up 3 units from y = |x|.
Both slopes are also 1 (from rise/run)
Hence, the answer is
[tex]y = |x| + 3[/tex]
7. Find the area of a rectangle if has a length the size of (x - 7) and a width the size of
(5x + 3).
Answer:
Area of a rectangle (A)= length(l) *Width(w)
l=(x-7)
w=(5x+3)
:. A= (x-7)(5x+3)
=5x(x-7)+3(x-7)
A=5x^2-35x+3x-21
A=5x^2 -32x -21
The area is in algebraic expression
Step-by-step explanation:
annyone wanna help 9x-14=22
Answer:
4
Step-by-step explanation: