Answer:
-5 + 3(7.2 - 3.2) equals 7.
Step-by-step explanation:
The order of operations states the order in which different mathematical operations should be done first, you can use the mnemonic PEMDAS to remember the order to complete each operation. PEMDAS states that the order must be followed as Parenthesis, Exponents, Multiplication/Division, and Addition/Subtraction. In the expression -5 + 3(7.2 - 3.2), the three mathematical operations being used are subtraction, multiplication, and parenthesis, so based on PEMDAS, the order to complete them is parenthesis, multiplication, and subtraction. -5 + 3(7.2 - 3.2) = -5 + 3(4) = -5 + 12 = 7, so that is your final answer.
[tex]\displaystyle\bf -5+3(7.2-3.2)=7\\\\1)\:7.2-3.2=4\\\\2)\:4\cdot3=12\\\\3)\:12-5=7[/tex]
A local hamburger shop sold a combined total of 688 hamburgers and cheeseburgers on Thursday. There were 62 fewer cheeseburgers sold than hamburgers How many hamburgers were sold on Thursday?
Answer:
626
Step-by-step explanation:
So 62 fewer right so 688 combined- 62 cheeseburger =626 hamburger
If US=52, ST=30, UT=40, VW=27, and XW=36, find the perimeter of ΔVWX. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
Answer:
The perimeter is 109.8
Step-by-step explanation:
As we can see here, the angles of the triangles are congruent so we can say that both triangles are congruent
When two triangles are congruent, the ratio of their corresponding sides are equal
So we can get the scale factor here by looking at the sides facing each specific angle in both triangles
In the bigger triangle,
The side facing 34 degrees has a length of 30
In the smaller triangle,
The side facing 34 degree has a length of 27
So the scale factor to get the smaller from the bigger is 27/30 = 9/10 or 0.9
Likewise the side facing 51 degrees in the bigger is 40 while for the smaller, it is 36
So the ratio still stands at 36/40 = 9/10 or 0.9
In essence, the smaller triangle will have a perimeter that is 0.9 times that of the bigger
The perimeter of the bigger is simply the sum of the side lengths
We have this as;
(52 + 30 + 40) = 122
so that of the smaller would be;
122 * 0.9 = 109.8
4 t-shirts and a hat costs £26.00
A t-shirt and a hat costs £8.00.
How much does a t-shirt cost?
How much does a hat cost?
Write the recurring decimal 0.18 as a fraction in its lowest terms
Answer:
Hence, the answer is 2/11.
Step-by-step explanation:
Let's begin by setting x equal to our repeating fraction. x= 0.18181818.
As a reduced (simplified) positive proper fraction 9/50 As a percentage 18%.
Martin was selling tickets for a basketball game in a high school. He sold
1,250 tickets and the total amount collected for the game was $2,750. The
student tickets cost $2 each, and adult tickets cost $3 each. How many
student and adult tickets were sold?
Answer:
1,000 student tickets.250 adult tickets.Step-by-step explanation:
2x + 3y = 2750
x + y = 1250
where x is student tickets and y is adult tickets
x = 1250 – y
2x = 2500 – 2y
→
(2500 – 2y) + 3y = 2750
2500 + y = 2750
y = 250 →
x + y = 1250
x = 1000
15,000 ones 1,500 tens 15 thousands 15,000 15 ten thousands which is odd one out explain how you now
Answer:
15 ten thousands
Step-by-step explanation:
15,000 ones is 15,000 * 1 = 15,000
1,500 tens is 1,500 * 10 = 15,000
15 thousands is 15 * 1000 = 15,000
15,000 is 15,000 '-'
15 TEN thousands is 15 * 10,000 = 150,000
It could be 1.5 ten thousands. 1.5 ten thousands is 15,000.
Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia. Después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres. ¿Cuántos años cumplidos vivió Augusto?
Answer:
Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.
Step-by-step explanation:
Dado que Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia, y después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres, para determinar cuántos años cumplidos vivió Augusto se debe realizar el siguiente cálculo:
Nacimiento: 23/09/63 AC
Primer año: 23/09/62 AC
Tercer año: 23/09/60 AC
Sesenta y dos años: 23/09/01 AC
Sesenta y tres años: 23/09/01 DC
Setenta y tres años: 23/09/11 DC
Setenta y cinco años: 23/09/13 DC
Así, Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.
If f(x) = 3x - 2 and g(x) = x2 +1, find (f +9)(x).
Answer:
A. x² + 3x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 3x - 2
g(x) = x² + 1
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = 3x - 2 + x² + 1Combine like terms: (f + g)(x) = x² + 3x - 1Answer:
D. x² + 3x + 1
Step-by-step explanation:
Given :- f ( x ) = 3x - 2 ɑnd g( x) = x² + 1
Find :- ( f + g ) ( x )
Solution :-
plug 3x + 2 ɑs f ɑnd x² + 1 ɑs g in the functions.( f + g ) ( x ) = ( ( 3x - 2 ) + ( x² + 1))
remove unnecessɑry pɑrɑntheses( f + g ) ( x ) = ( 3 x - 2 + x² + 1 )
combine like terms( f + g ) ( x ) = ( x² + 3x - 1 )
If A - B = {2,4,6}, B - A = {0,1,3}, and A∪B = {0,1,2,3,4,5,6,7,8}. What is A∩B?
Answer:
{5,7,8}
Step-by-step explanation:
A-B = {2,4,6} => A={2,4,6}
B - A = {0,1,3} => B= {0,1,3}
A∪B = {0,1,2,3,4,5,6,7,8}
=> A = {2,4,5,6,7,8}
B= {0,1,3,5,7,8}
=> A∩B = {5,7,8}
A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked it's taste.
Answer:
yes
Step-by-step explanation:
Here is the complete question :
A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie. Is it an example of descriptive statistics?
Descriptive statistics are used to summarise the features or characteristics of a data or sample. It provides information on the features of sample collected.
Types of descriptive statistics
1. Measures of central tendency :
They include mean, median and mode
Mode refers to a value that appears most frequently in a data set.
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
2. Measures of variation : It includes range, standard deviation and variance
3. Measure of position ; percentile and quartiles
4. Measure of frequency : count, percentage
The following table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Answer:
it is 1:5
Step-by-step explanation:
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:
Paint Color
Quarts of Red Paint Quarts of White Paint
4 20
5 25
7 35
8 40
Which statement is true about the
ratio of red paint to white paint in the paint color?
it is 1:16
it is 16:1
it is 5:1
it is 1:5
Ratio of red paint to white paint in the paint color = 4 : 20
= 4/20
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 1 : 5
Ratio of red paint to white paint in the paint color = 5 : 25
= 5/25
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 7 : 35
= 7/35
= 1/5
= 1 : 5
Ratio of red paint to white paint in the paint color = 8 : 40
= 8/40
= 1/5
= 1 : 5
Please help me ASAP! Worth 11 points
Answer:
x axis, then translate x+6, y+1
the temperature of a city was 26 degrees celsius on Monday the temperature rise by 2 degrees celsius on everyday upto thrusday and fell by 5 degree Celsius on Friday what was the temperature of the city on Friday
Answer: 29 degrees Celsius
Step-by-step explanation:
On Monday, Tuesday, Wednesday, and Thursday, the temperature increased by 2 degrees for a total increase of 8 degrees. Then, on Friday, the temperature decreased by 5 degrees. Since 8 - 5 = 3, the total temperature change is +3 degrees, so the answer is 26 + 3 = 29 degrees
find the inverse matrix or type none use decimals [3 2
4 1]
Answer:
none
Step-by-step explanation:
accellus
The inverse matrix or type none of the given matrix is given as [tex]\rm A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex].
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrix is given below.
[tex]A = \begin{bmatrix}3& 2\\4 & 1 \\\end{bmatrix}[/tex]
Then the transpose of a will be
[tex]\rm adj \ A = \begin{bmatrix}a_{11} & a_{21} \\a_{12} & a_{22} \\\end{bmatrix}\\\\\rm adj \ A = \begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}[/tex]
Then the value of matrix A will be
[tex]\rm \left| A \right|= \begin{vmatrix}3& 2\\4 & 1\end{vmatrix}\\\\\left| A \right|= 3*1 - 4*2\\\\|A| = -5[/tex]
Then the inverse matrix is defined as
A⁻¹ = Adj A / |A|
Then we have
[tex]\rm A^{-1} = \dfrac{\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}}{-5}\\\\\\A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex]
More about the matrix link is given below.
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what is the value of x?
When a pair of parallel lines is intersected by a transversal, then
Interior opposite angles are equal.
So, (3x + 4)° = 115°
=> 3x + 4 = 115
=> 3x = 115 - 4
=> 3x = 111
=> x = 111/3
=> x = 37
Answer:
37
Step-by-step explanation:
So, if you got two parallel line, which are crossed by another line, the conterminal angles are gonna be as big as each other.
what we get outta this explanation is
3X+4=115===> 3X=111===> X=37
Stacy is building a candy house. She
worked on it 3 hours before lunch and
6 hours after lunch. How many total
hours did Stacy spend working on the
candy house?
Answer:
9 hours
Step-by-step explanation:
You have to add both hours to get the total amount. So 3+6=9
Answer:
9 hours
Step-by-step explanation:
Stacy worked on the house 9 hours because she worked 3 hours before lunch and 6 hours after lunch. 6+3=9
please someone help me!!
Answer:
x = 6[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Here we need to use the Pythagorean Theorem
Pythagorean Theorem: a^2 + b^2 = c^2
STEP 1: Define your variables
The legs of the triangle are a and b, and the hypotenuse is c.
a = x
b = 4
c = 14
STEP 2: Plug your variables into the equation and solve
x^2 + 4^2 = 14^2
x^2 + 16 = 196
x^2 + 16 - 16 = 196 - 16
x^2 = 180
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{180}[/tex]
STEP 3: Simplify
Since the question asks you to put the equation in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{180}[/tex]
x = [tex]\sqrt{36}[/tex] * [tex]\sqrt{5}[/tex]
x = 6[tex]\sqrt{5}[/tex]
3( + 4) + 8 = —3
solve
Which expression is equivalent to the given expression.assume the denominator does not equal zero
Answer:
you did not apply an expression
Step-by-step explanation:
HELP CONGRUENCE BY SAS AND SSS WILL GIVE BRAINLIEST IF CORRECT
Answer:
1. Cong SSS 2.Cong SSS 3.Not Cong 4.Not Cong 5.Cong SAS 6.Cong SSS 7.Cong SAS 8.Cong SSS 9.Cong SSS 10.Cong SAS 11.d 12.a 13.a 14.b 15.a
Step-by-step explanation:
given that O is the center of the circle, find the measure of angle BAC of arc DC = 120
Answer:
30 degrees.
Step-by-step explanation:
DC is given as 120, so start off by finding arc BC.
180-120= Semicircle-DC=60.
BC=60.
Inscribed angles are half of their arcs.
60/2=30.
Which of the following has the same ratio as sin A?
A student winds a strip of paper eight times around a cylindrical pencil of diameter 7mm use the value 22/7 as pie to find the length of the paper
Answer:
176mm
Step-by-step explanation:
Given
Diameter of the pencil = 7mm
First, we need to find the length of one roll of paper
Circumference of one roll = πd
Circumference of one roll = 22/7 *7
Circumference of one roll = 22mm
Since a student winds a strip of paper eight times around a cylindrical pencil, then the length of the paper = 8 * 22 = 176mm
Il y a 5ans Thomas avait 5 fois l'âge de benoit aujourd'hui Thomas a 3 fois l âge de Benoît quel est l'âge de benoit
Répondre:
Benoit a 10 ans
Explication étape par étape :
Laisser :
Âge de Thomas = x
Benoit age = y
il y a 5 ans :
x - 5 = 5 (y - 5)
x - 5 = 5y - 25 - - (1)
Aujourd'hui :
x = 3y - - (2)
Mettez x = 3y dans (1)
3 ans - 5 = 5 ans - 25
Recueillir des termes similaires
3 ans - 5 ans = - 25 + 5
-2a = - 20
Diviser les deux côtés par - 2
y = 10
[tex]solve : - \\ \\ ( \sqrt{100 - 64)} [/tex]
Answer:
[tex] \sqrt{100 - 64} \\ = 36 \\ = {6}^{2} [/tex]
Compute the simple interest on a $1000 loan at 16.75 % for five years.
Answer:
$837.5
Step-by-step explanation:
here given
Principal (P)= $ 1000
Rate. (R)= 16.75%
time. (T)= 5year
we know
Simple interest (S.I)= PTR/100
1000*5*16.75/100
= $837.5
An online store increased the price of a shirt by 17% and charged $3 to ship the shirt to a customer. The customer paid $43 for the shirt. What was the original price of the shirt?
Please explain thoroughly how to get the answer. 15 points
Answer:
Check explanation
Step-by-step explanation:
Let
x = original price
Percentage increase in price = 17%
New price = original price + Percentage increase in price
= x + 17% of x
= x + 0.17 * x
= x + 0.17x
= 1.17x
Shipping cost = $3
Total cost = $43
Total cost = New price + Shipping cost
43 = 1.17x + 3
43 - 3 = 1.17x
40 = 1.17x
x = 40 / 1.17
x = $34.188034188034
Approximately,
x = $34.2
I need help please!!!
Answer:
Isosceles triangle
Complete the similarity statement for the two triangles shown
40 m
15 m
30 m
25 m
>H
Enter your answer in the box
20 m
50 m
S
F
ACHS ~A
Answer:
TFY
Step-by-step explanation:
let's start with the 90 degrees angle.
this is C in the first, and T in the second triangle.
so, C and T must be aligned.
and the we go around.
F ~ H
and then
Y ~ S
The simple interest on certain principal is 1/5 of the amount in 5 years, find the rate of interest.
a. 5%
b. 80%
c 6 2/3
d 10%
The rate is 4% per year.
It is required to find the rate of interest.
What is simple interest ?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that:
Let, principal is P,
so, interest is P/5 in 5 yrs.
As from the formula of simple interest,
So, P/5 = P× R ×5/ 100 (R = rate)Or, R = 4%
So, rate is 4% per year.
Learn more about simple interest here:
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The missing option is e. 4%