One fourth the sum of x and ten is identical to x minus 4."
Answer and Step-by-step explanation:
We are given the word format of an equation.
Let's right it out in numerical form.
[tex]\frac{1}{4} (x + 10) = x - 4[/tex]
The first part says One fourth the sum of x and 10
The sum of x and 10 would be shown as x + 10, and one fourth of that means that [tex]\frac{1}{4}[/tex] is multiplying (x + 10).
In this case, identical would mean equal to.
So, [tex]\frac{1}{4}[/tex](x + 10) would be = to something.
It says that it is identical to x minus 4 (x - 4).
[tex]\frac{1}{4} (x + 10) = x - 4[/tex] is the equation.
#teamtrees #PAW (Plant And Water)
Help me please answer thanks
Answer:
(-10,6)
Step-by-step explanation:
Domain only refers to x values so for this problem you would simply put (-10,6) since -10 is the lowest value and 6 is highest value.
The two prisms below are similar. What is the value of x?
Answer:4
Step-by-step explanation:
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
7z^4– 6z- 6z^2
Standard form: 7z^4-6z^2-6z
This IS a polynomial, it's degree is 4 and has 3 terms
Find the 11th term of the geometric sequence 6, -18, 54, ...
Answer:
354294
Step-by-step explanation:
Use the formula
[tex]a_{n} = a_{1} r^{n - 1}[/tex]
In your problem [tex]a_{1}[/tex] = 6 r = -3 n = 11
11th term = [tex]a_{11}[/tex] = [tex]6(-3)^{11 - 1} = 6(-3)^{10}[/tex] = 6(59049)
= 354294
Hey i need help wit ths=is Let f(x)=3x2+5.
The quadratic function g(x)isf(x)translated 3 units up.
Enter the equation for g(x)in the box.
and also im down need freinds to talk to just broke up...
Wanderella Skimpole has a dish that is a right rectangular prism. Its width is 10 inches, and its length is 16 inches. If the volume of the dish is 1,120 in3 , what must be its height?
Given:
Width of a rectangular prism = 10 inches
Length of the rectangular prism = 16 inches
Volume of the rectangular prism = 1,120 cubic inches
To find:
The height of the rectangular prism.
Solution:
We know that the volume of a rectangular prism is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]l=10,w=16,V=1120[/tex] in the above formula, we get
[tex]1120=10\times 16\times h[/tex]
[tex]1120=160\times h[/tex]
[tex]\dfrac{1120}{160}=h[/tex]
[tex]7=h[/tex]
Therefore, the height of the rectangular prism is 7 inches.
Henry had $22 and Ben had $17. Henry spent twice as much as Ben and was left with half as much as Ben. The amount of money that Ben spent is $____.
Answer:
Ben spent 9$
Step-by-step explanation:
Ben=x Henry=2x
17-x= 2(22-2x)
17-x=44-4x
-x+4x=44-17
3x=27
x=27/3
x=9 $ Ben spent
PLSSS HELP!!!!!!
Use a calculator to find the measure of
Answer:
A) 44.1
Step-by-step explanation:
I used omnicalculator. Should count because it's still a calculator.
Find the measure of the indicated arc
Answer:
m(WXY) = 224°
Step-by-step explanation:
<C is an inscribed angle.
Arc(WXY) is an intercepted arc whose end points are on <C.
Thus:
m(WXY) = 2(m<C)
Substitute
m(WXY) = 2(112°)
m(WXY) = 224°
A simple random sample from a population with a normal distribution of 103 body temperatures has x = 98.30°F and s = 0.61°F. Construct a 95% confidence interval estimate of the standard deviation of body temperature of all healthy humans.
Answer:
(98.2884 ; 98.3116)
Step-by-step explanation:
Given :
x = 98.30°F and s = 0.61°F
Sample size. n = 103
Zcritical at 95% = 1.96
Using the confidence interval relation :
x ± margin of error
Margin of Error :
Zcritical * s/√n
1.96 * 0.61/√103 = 0.0116
Lower boundary = (98.30 - 0.0116) = 98.2884
Upper boundary = (98.30 + 0.0116) = 98.3116
(98.2884 ; 98.3116)
A teacher likes to bake cookies and she regularly brings some to school to share with both students and teachers. One day, the teacher brought 72 cookies and distributed 32 to the students and the remaining number to the teachers. Given the scenario above, determine the ratio of teacher cookies to student cookies. Write your ratio with integers in reduced form.
Answer:
students 4:9
teachers 5:9
Step-by-step explanation:
students 32:72 = 4:9
teachers 40:72 = 5:9
find the measure of each angle if C D
Answer:
1=72 , 2=108 , 3= 72 , 4=108
Step-by-step explanation:
c parallel to d means that 108 and 1 are adjacent angles , sum 180
therefore ang 1 = 180-108=72
2=108, corresponding angles,
same as above for 3, angle 3= 180-108 =72
2 and 4 are vertically opposite and are equal.
A circular patio has a radius of 4 yards. The patio is expanded so that the radius increases by 2 yards.
1) What is the area of the original patio? (blank)
Square yards
2) What is the area of the new patio? (blank)(
Square yards
3) By how many square yards does the area of the patio increase? (blank)
Square yards
Answer:
50.29 yards^2
113.14 yards^2
62.85 yards^2
Step-by-step explanation:
Area of a circle = πr²
π = pi = 22/7
r = radius
original area
(22/7) x 4² = 50.29 yards²
New area
radius = 4 + 2 = 6
(22/7) x 6² = 113.14 yards²
Increase in the area of the patio = 113.14 yards² - 50.29 yards²=62.85
how to do this question plz answer
There are 144 pencils in a box. If each member of the class gets 8 pencils, there will be no pencils left over. How many members of the class are there? Write an equation to represent the situation. Then solve the equation to answer the problem.
Pls help ASAP ILL GIVE BRAINLIST
Answer:18
Step-by-step explanation:
Let x and y be the numbers represented on the number line.
1. Ifp is the product of x and y, what point can represent p on the number line?
2. Use the information from (1) to find the point representing qon the number line if q is the
quotient of x and y. Explain your reasoning.
HELP DUE IN 15 MINS!
Y=??
Answer:
y = 70 degree's
Step-by-step explanation:
180 is a straight line therefore the equation would read ...
180 = 110 + y
subtract 110 from both sides ...
70 = y
Answer:
y = 70
Step-by-step explanation:
This is a supplementary angle so:
y + 110 = 180
y = 180 - 110
y = 70
Simplify this expression below as much as possible.
(7+4i)+(9+5i)-(2+5i)
Answer:
7+4i+9+5i-2-5i
7+4i+9-2
4i+7+9-2
4i+14
Answer: 14 + 4i
Step-by-step explanation:
(7 + 4i) + (9 + 5i) - (2 + 5i)
Group the real part and the imaginary part of the complex number
(a + bi) ± (c + di) = (a ± c) + (b ± d)i
(7 + 9 - 2) + (4 + 5 - 5)i
7+9-2=14 and 4+5-5=4
Therefore, (7+4i)+(9+5i)-(2+5i) is equal to 14 + 4i
Fill the blank space in the pattern.
1,5,25,-,625
Answer:
-125,-626
Step-by-step explanation:
please mark brainliest
please help solve, riding on the dirt path from the Jones Beach tower to Tovah is 0.34 Miles
Answer:
ik information jkvhov kdgon
WILL MARK BRAINLIEST!!
Answer:
area of hexagon = 600√3 m²
explanation:
apothem² = 20² - 10² = 400 - 100 = 300
apothem of hexagon = √300 = 10√3 m²
area of hexagon = 1/2(6 x 20)(10√3) = 600√3 m²
Answer:
Step-by-step explanation:
One way to find the area of the hexagon is to use the formula [tex]A=\frac{1}{2}ap[/tex], where p is the perimeter and a is the apothem (distance from the center to the midpoint of one side).
The problem says the side length is 20, so the perimeter is 6 x 20 = 120.
The apothem is the distance marked by the dotted line. The rectangles height is [tex]20\sqrt{3}[/tex], so the apothem is half of that, [tex]10\sqrt{3}[/tex].
The area is [tex]\frac{1}{2}\cdot 10\sqrt{3} \cdot 120=600\sqrt{3}[/tex]
Expand 3(x + 4)
Don’t really understand it pls help
Answer: 3x +12
Step-by-step explanation:
It is asking to multiply everything is the parenthesis by 3
So 3x + 12
3x+12 Hope this helps :D
Answer this pls
DONT SEND A LINK
1/3 2/3 3/3
1/4 2/4 3/4 4/4
PLEASE HELP WILL GIVE BRAINLIEST. DUE TODAY
Step-by-step explanation:
AB = AC ( Given)
angle BAD = angle DAC. (AD bisects BAC)
AD = AD. ( common side )
abd is congruent to adc. ( SAS Axiom)
Find the geometric mean between 3 and 15(Round to 1 decimal place)
Answer:
6.7
Step-by-step explanation:
Let x = the geometric mean
Then, 3/x = x/ 15
[tex]x^{2}[/tex] = 45
x = [tex]\sqrt{45}[/tex] = 6.7
Will give brainliest to whoever answers the quickest
Answer:
12.71in
step explanation:
The Length of an arc given is expressed as;
A = theta/360 * 2πr
10 = 45/360 * 2 * 3.14r
10 = 1/8 * 6.28r
Cross multiply
10 * 8 = 6.28r
80 = 6.28r
r = 80/6.28
r = 12.74in
Hence the radius is 12.71in
Bell ringer
Which number below does NOT represent an integer?
А -4
B 1
C -6
D 0.25
Answer:
D.) 0.25
Step-by-step explanation:
Because it is not a whole number and decimals don't count as integers
The equation of the scatter plot trend line is y = -1700x + 32000 where y is the value of the car in dollars and x is the age of cars in years. Use the trend line equation to predict the value of a car after 7 years.
Answer:
20100
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Given equation
y = -1700x + 32000
Where x is the age of car and y is the value of the car.
Then value after 7 years can be calculated as follows,
y = -1700 (7) + 32000
y = -11900 + 32000
y = 20,100
So, the value of car after 7 years will be 20100.
four students can wash a car in 15 minuets.if the time varies inversely with the number of students washing the car, how many minutes will it take three students to coplete that same job
Answer:
20
Step-by-step explanation: