The correct value for z that makes the algebraic expression true is equal to 12
Algebraic expressionIn mathematics, an algebraic expression is an expression which is made up of variables and constants, along with algebraic basic operations such as addition, subtraction, multiplication and division.
we first open the bracket
10 + z - 4 = 18
z + 10 - 4 = 18
z + 6 = 18
subtract 6 from both sides of the equation
z + 6 - 6 = 18 - 6
z = 12
Therefore, 12 is the value of z that makes the algebraic expression true.
Know more about algebraic expression here:https://brainly.com/question/4541471
#SPJ1
In a softball league, 4 coaches are needed for every 28 players. If 84 players sign up for softball, how many coaches are needed?
Answer:
12 coaches
Step-by-step explanation:
If for every 28 players, 4 coaches are needed, for 84 (triple the amount) players, 12 coaches would be needed (triple the amount)
While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and mound-shaped to justify using the 68-95-99.7 rule. Suppose the distribution of calories in a Chipotle meal can be considered symmetric and mound-shaped with mean 1060 calories and standard deviation 291 calories.
Required:
a. What is the approximate percentage of the Chipotle meals that have more than 469 calories?
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
c. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?
Answer:
97.9% ; 12.4% ; 771
Step-by-step explanation:
The approximate percentage who have more Than 469 calories :
P(x > 469)
Mean, m = 1060
Standard deviation, s = 291
Z = (x - mean) / standard deviation
Z = (469 - 1060) / 291
Z = −2.030927
P(Z > - 2.031) = 1 - P(Z < - 2.031)
P(Z > - 2.031) = 1 - 0.0211
P(Z > - 2.031) = 0.9788 = 97.9%
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
[(1673 - 1060) / 291] - [(1372 - 1060) / 291]
P(Z <2.106) - P(Z < 1.072)
0.9824 - 0.85814
= 0.12426 = 12.4%
c. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal
The Zscore at 16 percentile = -0.994
Zscore = (score - mean) / standard deviation
-0.994 * 291 = score - 1060
−289.254 = score - 1060
Score = −289.254 + 1060
Score = 770.746
Approximately 771
2x-3y = -2
X + 24 = 15
Answer:
No
Step-by-step explanation:
2x-3y= 6xy
Marna is playing a game where you score -5 points each time you guess the correct answer the goal is to get the lowest score to win the game Marna Needs to have a score less than -80 point how many correct answers does my need to win the game
_:7 = 24 : 56
A.2 B.3 C.4 D.5
Answer:
The answer is 3 : 7 .
Hope it helped
All the best !!
The hikers could only hope that they would soon be
(52)
The drone of a helicopter's engines on 8 February 2018 must have been music to the
(53)
of Mr Dominick Tan and Ms Lum Jie. The rescue of the duo ended a search-and-rescue
(54)
that started on the evening of 5 February 2018. It
of a team of 90 police officers, park
(55)
rangers, firefighters and volunteers.
Answer:
(52) rescued.
(53) ears
(54) mission
(55) consisted
Step-by-step explanation:
1. Which quadrilaterals always have opposite
angles that are congruent?
Parallelograms
Rectangles
Rhombi
Squares
Answer:
The quadrilaterals which have opposite angles congruent are parallelograms.
Hope it will help :)
The quadrilaterals always have opposite angles that are congruent should be parallelograms.
What are quadrilaterals?In terms of geometry, a quadrilateral should be represent the closed, two-dimensional shape that contain 4 straight sides. The polygon should contain the four vertices or corners.
So based on this, we can say that The quadrilaterals always have opposite angles that are congruent should be parallelograms.
Learn more about quadrilaterals here: https://brainly.com/question/18057835
Please I need help (>^<)ゞ
Katie and Elizabeth went to the store so Katie could return
some headphones. All DVDs were on sale for the same
price. Katie returned a set of headphones and purchased 3
DVDs, costing her an additional $5.
Elizabeth purchased 2 sets of the same headphones Katie
returned and a DVD for $67.
What is the cost of each item?
o Headphones $11; DVD $28
o Headphones $28; DVD $11
o Headphones $15; DVD $26
o Headphones $26; DVD $15
Answer:
Step-by-step explanation:
D
ILL MARK U BRAINLEST Find the circumference of the circle. Use 3.14 for 1. Round to the nearest hundredth, if necessary.
is
9 in.
The circumference of the circle is about
inches.
1
Answer:
The answer is either 56.55in or 28.27
Step-by-step explanation:
This is the formula that I used
C=2πr
Circumference = 2·π·4.5 ≈ 28.27433 or
Circumference = 2·π·9 ≈ 56.54867
The answer can be either one. It depends on if 9 is the radius or the diameter of this circle. If 9 is the radius, then the answer would be 56.55in. If the radius isn't 9 but 9 is the diameter, then your radius would be 4.5 and the answer would be 28.27in.
Hope that helps :)
The circumference of the circle will be 56.52 inches.
The circumference of a circle can be found using the formula:
Circumference = 2πr
Where r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14159.
If the radius of the circle is 9 inches, then we can substitute this value into the formula to find the circumference:
Circumference = 2π(9 inches)
Circumference = 18π inches
We can leave the answer in terms of π or approximate it using a decimal approximation for π. Using the value of π rounded to 3.14, we have:
Circumference ≈ 56.52 inches
Therefore, the circumference of a circle with a radius of 9 inches is approximately 56.52 inches or exactly 18π inches.
To know more about circumference follow
https://brainly.com/question/20489969
#SPJ2
find the minimum angle of rotation of the given figure a. 40* b. 60* c. 45* d. 8*
Answer:
45 degrees
Step-by-step explanation:
Help needed with this
Answer:
el 3
Step-by-step explanation:
Step-by-step explanation:
step 1. a function must only have a single y value for each x value.
step 2. for the input x, there can only be one output or result y.
step 3. #1 is a function because for each x there is only one y.
step 4. #2 and #3 are functions also.
step 5. #4 is not a function because (1, 1) and (1, -1) says x is 1 but the y is both 1 and -1 (2 values)
step 6. (2, 2) and (2, -2) also makes #4 not a function.
if the height and radius of a cylinder tank are equal and it's curved surface area is 308cm^2,find it's height
Let height be x, then radius is also x.
We know that,
C.S.A. = 2πrh
=> 308cm² = 2πxx
=> 308cm² = 2πx²
=> 308cm² = 2(22/7)x²
=> 308cm² = (44/7)x²
=> 308cm² × (7/44) = x²
=> 2156/44 cm² = x²
=> 49cm² = x²
=> √(49cm²) = x
=> 7cm = x
So, height and radius are 7cm each.
Sixteen is divided by the sum of the number q and 1. The result is four. What is the number.
Answer:
The number is 3.
Step-by-step explanation:
Ok, so here we're solving for a variable. The equation would be:
16 ÷ (q + 1) = 4
We can rewrite this as:
4(q + 1) = 16
First, you need to isolate q + 1. To do that, you to the inverse of the operation. IN this case, division is the inverse of multiplication. So:
4(q + 1) = 16
÷4 ÷4
q + 1 = 4
Alright, now we isolate q. The inverse of addition is subtraction, so we do this:
q + 1 = 4
- 1 - 1
q = 3
Now for our check:
16 ÷ (q + 1) = 4
16 ÷ (3 + 1) = 4
16 ÷ 4 = 4
4 = 4
q = 3
A vet borrows $12,000 for 4 years. The total interest paid was $875. What was the interest rate on the loan?
Answer:
1
Step-by-step explanation:
14x² - 21x³ + 49x⁴
ayudenme porfavor
no se
sólo lo hago esto para poder preguntar
Simplify to a single power of 5
Answer:
7
Step-by-step explanation:
multiplying exponents adds them together... 5+2=7
In the following question, the domain of discourse is a set of students at a university. Define the following predicates: E(x): x is enrolled in the class T(x): x took the test Translate the following English statements into a logical expression with the same meaning.
a. Someone took the test who is enrolled in the class.
b. All students enrolled in the class took the test.
c. Everyone who took the test is enrolled in the class.
d. At least one student who is enrolled in the class did not take the test.
Answer:
From the examples given below:
E(x): x is enrolled in the class T(x): x took the test ,
The following sentences can be translated into something similar like:
1 E(x): All students enrolled in the class.
T(x): All students took the test.
2. E(x): Someone took the test
T(x): Someone are enrolled in the class.
3. E(x): Everyone took the test
T(x): Everyone is enrolled in the class.
4. E(x): At least one student is enrolled in the class
T(x): At least one student did not take the test.
Step-by-step explanation:
I think I got the answer but I need someone to help
9 points
7) What is the Unit Rate? $12.84 for 4 cookies. *
O $3.21
O $4.20
O $5.19
O $2.50
Answer:
$3.21
Step-by-step explanation:
Please let me know if you want me to write an explanation for my answer :)
Calcular la energía cinética de un coche de masa 1500 Kg que circula con una velocidad de 90 km/h.
Answer:
468750 esta es la energia cinética
6The table below represents the charges for using the Internet at a cafe. 3 Number of Minutes Amount Charged (in dollars) 7.5 30 R. 120 12 220 Write an equation in slope-intercept form that describes the relationship between the number of minutes, x, and the amount charged, y.
Answer:
Step-by-step explanation:
y=mx+b
m=(y2-y1)/((x2-x1)
m=(12-7.5)/(120-30)
m=0.05
y=0.05x+b, using point (30,7.5)
7.5=0.05(30)+b
7.5=1.5+b
b=6
y=0.05x+6
Mark buys $45 worth of office supplies. He uses a 15% off coupon. What will be the new price?
Answer:
38 dollars and 25 cents
Step-by-step explanation:
15% off is the same as saying 85% of the original price, because 100%-15%=85%.
We can do 85% · 45=0.85 · 45=38.25
Answer:
$38.25
Step-by-step explanation:
Which number is the same distance from 0 as −14?
Answer: 14
Step-by-step explanation:
0-14 is -14 0+14 is 14
The correct number which is the same distance from 0 as - 14 is,
⇒ d = 14
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
To find the same distance from 0 as −14.
Now, We can formulate;
The correct number which is the same distance from 0 as - 14 is,
⇒ d = | 0 - (- 14)|
⇒ d = 14
Thus, The correct number which is the same distance from 0 as - 14 is,
⇒ d = 14
Learn more about the subtraction visit:
https://brainly.com/question/17301989
#SPJ3
What is the answer to this?
Answer:
17
Step-by-step explanation:
85/5=17
NEED HELP ASAP !!! Mr. Sanchez's class sold fruit pies for $1.65 each and Mr. Kelly's class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school. (a) Write and solve a system of equations that model the problem. Show all your work (b) Which class earned more money? (c) How much more money did that class earn?
Answer:
Mr. Kelly's class old more and 11.455 more then the other class
Step-by-step explanation:
i used a calutor
Some one already answered this, heres the link to the answer:
brainly.com/question/19662350?referrer=searchResults&exp=25-1
an arfican elephant weighs 6 tons what is the weight of the elephant in pounds? 2000 pounds = 1 ton
Grayson took out a loan for $900. In 18 months, he paid $54 in simple interest. What was the interest rate on Grayson's loan?
Answer:
.
Step-by-step explanation:
4. Look at the first example (a).
Now write the other numbers in expanded notation.
a. 654 = 600 + 50 + 4
b. 203 =
C. 2015 =
d. 8 002 =
e. 7 605 =
Find the inverse function of f(x)=4x-8
Answer:
f^-1(x)=1/4x+2
Step-by-step explanation:
y=4x-8
change x and y
x=4y=8
switch sides
4y-8=x
add 8
4y=x+8
divide both sides by 4
y=1/4x+2
substitute f^-1(x) for y
f^-1(x)=1/4x+2
Pls help asap 15 POINTS
For what value of c are the factors of x2 + cx + 121 the same?
The value of c is [blank]?
Answer:
22
Step-by-step explanation:
Using the expression to determine the value of c
121 = (c/2)²
find c
121 = c²/4
c² = 121 * 4
c = √121*4
c = √484
c = 22
Hence the value of c is 22