Answer:
x= 4
The number is 4
Step-by-step explanation:
Make it into an equation
1/4x + 3 = 4
1/4 = 4-3
1/4x = 1
x= 1 × 4
x= 4
Heather Johnson bought a new set of tires for $436.00 and a car seat for $22.85. The state tax rate is 6%, the county tax rate is 1.5%, and the city tax rate is 0.5%. What is the total purchase price?
Answer:
$495.56
Step-by-step explanation:
Tax increases the price paid for a good or service. So, the total price paid for the goods would increase by the total amount of tax
Sum of the three taxes = 6% + 1.5% + 0.5% = 8%
Total cost of items purchased = $436 + $22.85 = $485.85
Total purchase price = Total cost of items purchased x (1 + total tax)
$485.85 x (1.08) = $495.56
The equation h = -16t 2+ 53x + 8 gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked. What is the maximum height the football reaches?
Answer: The maximum height the football reaches = 51.89 feet.
Step-by-step explanation:
Given: The equation [tex]h = -16t^2+ 53t + 8[/tex] gives the height h, in feet, of a football as a function of time t, in seconds, after it is kicked.
Differentiate the given equation, we get
[tex]h'=-(2)16t+53=-32t+53[/tex] (i)
Put [tex]h'=0[/tex]
[tex]\Rightarrow\ -32t+53=0\\\\\Rightarrow\ t=\dfrac{53}{32}\approx1.65625[/tex]
Differentiate (i) w.r.t. t, we get
[tex]h''=-32[/tex] < 0 i.e. h is maximum at t= 1.65625
The value of h at t= 1.65625 will be [tex]-16(1.65625)^2+53(1.65625)+8=51.890625\approx51.89\text{ feet}[/tex]
Hence, the maximum height the football reaches = 51.89 feet.
select the equation slope- intercept for 2x + y = 7
Answer:−2
Step-by-step explanation:
Answer:
slope is -2 and y intercept is (0,7)
Step-by-step explanation:
find the value for m
-10 + 59 = 5m = 7 + 3m
-10+59=5m=7+3m
49=5m=7+3m
49-7=5m-3m
m=42/2
m=21
Answer:
21
Step-by-step explanation:
-10+59 = 5m = 7 + 3m
49 = 5m = 7 + 3m
49 - 7 = 5m - 3m
42 = 2m
42/2 = m
m= 21
. For what value of x do the expressions 2x +2 and 3x – 6 have the same value?
Answer:
x = 8
Step-by-step explanation:
To find the solution, equate the 2 expressions, that is
3x - 6 = 2x + 2 ( subtract 2x from both sides )
x - 6 = 2 ( add 6 to both sides )
x = 8
As a check
2x + 2 = 2(8) + 2 = 16 + 2 = 18
3x - 6 = 3(8) - 6 = 24 - 6 = 18
Both expressions have the same value when x = 8
4. Jill math score on her test last year 7th grade was 650. Her math teacher told her that her test level went up by 2586. What was Jill's test score level in 6 grade? answer
PLS HELP!!! WILL AWARD BRAINLIEST!
Rewrite this equation without using absolute value.
Answer:
0.127
Step-by-step explanation:
|√15-5+1 |
|√15-4 |
|3.873-4 |
|-0.127|
0.127
Fractions equivalent to 6/12 choose all correct 1)1/2 2)2/4 3)3/9 4)1/6 5)4/10
Answer:
1 and 2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
6/12 =1/2
I hope this helps
A beachball has a radius of 10 inches. Find the volume of the beachball, in cubic inches.
Round your answer to the nearest whole number.
Answer:
4189 cubic inches
Step-by-step explanation:
Use the formula for the volume of a sphere: V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
Plug in the radius as r, and simplify:
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](10³)
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](1000)
V = 4188.79
Round to the nearest whole number
= 4189
So, the volume of the beachball is 4189 cubic inches
Blank plus 1/5 equals 1/2
Answer:
2/10 + ___ = 1/2
Step-by-step explanation:
2/10 + 3/10 = 1/2
Help me with this pls
Answer:
180
Step-by-step explanation:
guessed the answer
that was the easiest
The back of the park bench is the shape of a irregular trapizoid,as shown in the figure. What shapes can the trapizoid be divided into to find the area?
The diameter of a circle is 18 cm. Find its circumference in terms of pie
im sorry but can you show more so i can help you Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf C = 18 \pi \ cm}[/tex]
Step-by-step explanation:
Diameter = 18 cm
Radius = D / 2 = 18 / 2 = 9 cm
Circumference = 2πr
C = 2π (9)
C = 18 π cm
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Special Cases
(Y+3)(y-3)
Answer:
Y^2-9
Step-by-step explanation:
t/12 = 4
solve for the solution
SOMEONE PLEASE HELP. !! ASAP!! NO BULL ANSWERS !!
Answer: does this count as a bull answer
Step-by-step explanation:
Answer:
(3,-3)
Step-by-step explanation:
I hope this helps you on your journey to success.
help me i don't get math 17 points
Answer:
805.92
Step-by-step explanation:
I’ll really appreciate it if you help me out on this one .
Answer:
A
Step-by-step explanation:
This is because from the data we can tell its increasing 1.50$ per 5 goldfish.
1.50/5=.30
When factoring this equation 5x2 + 2x-3, the first step is to place values in the X. In the X in this problem, you need to find two numbers that multiply to be ______ and add to be ______.
Answer:
10x+x
Step-by-step explanation:
HELP DUE IN 60 MINS!
21. What should go in Reason 1?
22. What should go in Reason 2?
23. What should go in Reason 3?
These are the choices for the 3 reasons: Given, Alternate Interior Angles Theorem, AA Postulate, SAS Postulate, Reflexive Property of Congruence, SSS Postulate, Vertical Angles Theorem, Substitution Property.
Answer:
corresponding angle , Reflexive Property of CongruenceAA APostulate,Melody Pond and a tree cast a shadow at the same time of day. Melody is 5.6 feet tall and casts a 10-foot shadow. If the length of the tree's shadow is 62 feet, what is the height of the tree?
Answer:
34.72 feets
Step-by-step explanation:
Using the relation :
Length of tree / shadow of tree = height of melody / shadow of melody
From the details given in the question :
Let height of tree = h
h / 62 = 5.6 / 10
Cross multiply
h * 10 = 62 * 5.6
h = 347.2 / 10
h = 34.72 feets
Hence, the height of tree is 34.72 feets
PLZ HELP!!!!!!!!!!!!!
Answer:
Move the decimal point 3 times to the left.
Step-by-step explanation:
The graph models the amount of radioactive element present over the course of a 10-minute experiment.
What is the average rate of change of the amount of the element over the 10-minute experiment?
A.
-2.0 g/min
B.
-5.0 g/min
C.
-0.2 g/min
D.
-1.8 g/min
Answer:
D is the answer - 1.8 g/min
Step-by-step explanation:
If 3 x/4 +2 =56.8, what is the value of x?
A) x≈ −2.891
B) x≈ 6.708
C) x≈ −4.323
D) x≈ −2.059
Answer:
the value of the x is 73.07
Step-by-step explanation:
The computation of the value of the x is shown below:
Given that
3x ÷ 4 + 2 = 56.8
3x + 8 ÷ 4 = 56.8
3x + 8 = 56.8 × 4
3x + 8 = 227.2
3x = 227.2 - 8
3x = 219.2
x = 73.07
Hence, the value of the x is 73.07
This is the answer but the given options are incorrect
I WILL GIVE OUT BRAINELIST Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the graph of h(x) is 12 units above the vertex of the graph of g(x) .
Which pair of functions could have been used to create the graphs of g(x) and h(x)?
h(x)=(x+12)2 and g(x)=x2
h(x)=x2−12 and g(x)=x2
h(x)=x2+12 and g(x)=x2
h(x)=(x−12)2 and g(x)=x2
Answer:
h(x)=(x-12)2 and g(x)=2
A gardener has 100 feet of fencing in order to enclose a rectangular garden. The equation A(x)=x(50−x) gives the area of the garden whose width is x feet. What is a reasonable domain for this function? Explain.
Answer:
the answer is a
Step-by-step explanation:
A reasonable domain would be
−∞<x<∞
because
A(x)
is defined for all real numbers.
Rationalize the denominator. I just don't get it. Please help.
∛(5x/3y)
Answer:
Uh, this isnt solvable, you sure u got the right problem???
Step-by-step explanation:
A triangle has angles that measure 106° and 59°.
What is the measure of the third angle?
74º
121°
15°
47°
Find the area of both of these trapeziods using the formula (b1 + b2) • h ÷ 2.
Calculate the difference in areas of the two trapeziods.
Answer:
Area of trapezoid 1: 128
Area of trapezoid 2: 24
Step-by-step explanation:
Trapezoid 1:
(18 + 14)8/2
32*8/2
256/2
128
Trapezoid 2:
(9 + 7)3/2
16*3/2
48/2
24
How many different 4-digit PIN codes are there that only include the digits 4, 5, 6, 7, 8 and 9
if each of those digits is only allowed to be used once?
Answer:
ecall that 6 + 6 + 6 = 6 × 3
Instead of adding 6 three times, you can multiply 6 by 3 and get 18, the same answer.
Similarly,
6 + 6 + 6 + 6 + 6 + 6 + 6 = 6 × 7 = 42
Still by the same token,
2 + 2 + 2 + 2 = 2 × 4
In algebra, 2 × 4 can be written as (2)(4)
You can think of this as four groups of 2.
This situation is shown in the number line below.
You basically start at 0 and count by 2's until you have put four 2's on the number line. You end up at 8 and 8 is positive.
Step-by-step explanation:
