Answers
Answer:
x = 60°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
A box on an angle signifies a 90° angleAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
x° + 90° + 30° = 180°
Step 2: Solve for x
Combine like terms: x + 120 = 180Subtract 120 on both sides: x = 60°Related Questions
Determine whether a quadratic model exists for each set of values. If so, write the model.
f(-2)=16, f(0)=0, f(1)=4
Answers
Answer:
[tex]f(x)=4x^2[/tex]
Step-by-step explanation:
Quadratic Model
The quadratic function can be expressed in the form:
[tex]f(x)=ax^2+bx+c[/tex]
Where a,b, and c are constants to be determined using the points through which the function passes.
We have the points (-2,16) (0,0) (1,4). To find the values of a,b,c we just substitute the values of x and y and solve the system of equations.
Point (0,0):
[tex]f(0)=a*0^2+b*0+c=0[/tex]
It follows that
c=0
Point (-2,16):
[tex]f(0)=a*(-2)^2+b*(-2)+c=16[/tex]
Operating:
[tex]a*(4)+b*(-2)+c=16[/tex]
Since c=0:
[tex]4a-2b=16[/tex]
Divide by 2:
[tex]2a-b=8\qquad\qquad [1][/tex]
Point (1,4):
[tex]f(1)=a*(1)^2+b*(1)+c=4[/tex]
[tex]a*(1)+b*(1)+c=4[/tex]
Since c=0:
[tex]a+b=4\qquad\qquad [2][/tex]
Adding [1] + [2]:
2a+a=12
3a=12
a=12/3=4
a=4
From [2]
b=4-a
b=4-4=0
b=0
The model is:
[tex]\boxed{f(x)=4x^2}[/tex]
Elias’s teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale factor of 8/3. Elias says that will be a reduction because the scale factor is a fraction. Is he correct?
Answers
Answer:
Yes
Step-by-step explanation:
Because for every 8 feet of the original rectangles, it will be 3 feet on the scale model, therefore it is reducing.
Answer:
Elias is not correct, A scale factor of 8/3 is an enlargement because it is greater than 1.
A reduction has a scale factor between
0 and 1.
(Verified answer)
Based on what you've read, decide which of the four basic operations you need to use. Then, solve the problems.
1. On a trip to Florida, Santina drove 203 miles and Carole drove 189 miles. How many more miles did Santina drive than Carole?
2. A restaurant uses 80 pounds of potatoes per week. The restaurant owner buys the potatoes in 10-pound bags from a local farmer. How many bags will the owner need to buy this week?
3. Six-packs of cola were on sale at a grocery store. John bought the limit, which was 8 six-packs. How many individual cans of cola is this?
4. Lori is reading The Grapes of Wrath for her American literature class. She read 85 pages last weekend, 135 pages during the week, and 98 pages this weekend. What is the total number of pages she has read so far?
5. A football team scored 34 points in their first game, 21 points in their second game, 9 points in their third game, and 28 points in their fourth game. What is the team’s average score for the season so far?
6. Reuben chews four pieces of chewing gum a day. The gum is sold in packages containing seven pieces. How many packages of gum will he need to buy this week?
7. Apply the rules of order of operations to solve the following problems.
52 – 6 × 7 = ?
108 ÷ 9 × 5 = ?
(54 + 42) ÷ 12 =?
183 – [(12 + 7) × 4] = ?
8. Chan wants to buy a used car that costs $8,500. He took out a loan for the cost of the car, and his payments are $209 per month for four years. At the end of four years, how much more than the car’s original price will he have paid? (Remember, there are twelve months in one year.)
9. Linda commutes a total of 54 miles to and from work every day. She needs a new car, and good gas mileage is important to her. She’s considering two models. The first model averages 30 miles per gallon, and the second averages 27 miles per gallon. How many gallons of gas will she save in a five-day work week if she buys the first car instead of the second car?
10. A waitress earned the following tips during one hour: $4.50, $3.00, $5.00, and $3.75. She gave each of the two busboys working with her $2.50. In addition to tips, the restaurant pays her $4.25 per hour. How much did she earn during that one hour of work?
11. Juan went out to lunch with five friends. They decided to divide the bill evenly among them. Juan estimated that his lunch cost $5.25. The entire bill came to $37.20. Would Juan’s lunch have cost more or less if he paid for it separately? How much more or less?
Answers
Answer:
try this!!
1. 14
2. 8
3. 48
4. 318
5. 23
6. 4
7. a) 10 b) 60 c) 8 d) 107
8. $1,532
9. 1
10. $15.50
11. .95
Step-by-step explanation:
Answer:
1. 14
2. 8
3. 48
4. 318
5. 23
6. 4
7. a) 10 b) 60 c) 8 d) 107
8. $1,532
9. 1
10. $15.50
11. .95
Step-by-step explanation:
Penn Foster
What will happen to the graph of the line y = -54x + 3 if you change -54 to 54?
Answers
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept: ( 0 , 0 ) x y 0 0 1 1
Solve the Inequality:
Answers
Answer:
z > 4
Step-by-step explanation:
- 2z - 3 < 5
- 2z < 5 + 3
- 2z < 8
z > - 4
Answer:
z > -4
Step-by-step explanation:
Please see the following attachment for step by step
Tamara sold 92 cold drinks during her 2-hours shift a festival food stand. If she sold same number of drinks each hour , how many cold drinks did she sell each hour?
Answers
92/2 drinks = 1 hr
46 drinks = 1 hr
Answer:
92/2= 46/h
46 and hour is the answer
Walter chrysler sells car engines. He receives a 11% commission on the first $50,000 in sales and 17% on anything over $50000. He had a good month and sold $225,000 worth of engines.(btw walter chrysler was a machinist who founded chrysler) How big was his check for the month? A. 35250 B. 41522 C. 64000 D. 220000
Answers
A
Explanation
What is (1.7x10^4)x(8.5x10^-2) in standard form
Answers
Answer:
1.445 × 10³
Step-by-step explanation:
Standard form is a way of writing a small number or a large number easily.
We should give the final answer in standard form.
1) (1.7 × 10⁴) × (8.5 × 10⁻²)
We enter this directly into the calculator to obtain a solution.
= 1445
We write this in standard form we have :
1.445 × 10³
Answer:
1.445 × 10³ hope it helped goodluck!
Choose an answer and tell me why u chose it
Answers
9514 1404 393
Answer:
(D) (170 -4x)°
Step-by-step explanation:
Angles 1 and 5 are corresponding, so are congruent. Angle 6 forms a linear pair with angle 5, so is its supplement. That is, angle 6 is the supplement of angle 1:
∠6 = 180° -(4x +1)° = (180 -1)° -4x°
∠6 = (179 -4x)° . . . . matches choice D
Which equations are true?
Choose all answers that apply:
Α)
-X = -x + 3 +0
B)
-X = 0 +(-x)
с)
None of the above
Answers
Answer:
B
Step-by-step explanation:
Any value of x would make the equation true.
15 is what percent of 90
Answers
Factor a trinomial of the form x^2+bx+c
Answers
Answer:
[tex]\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)[/tex]
Step-by-step explanation:
Let us assume the trinomial of the form [tex]x^2+bx+c[/tex]
[tex]x^2+5x+6[/tex]
Break the expression into the groups
[tex]=\left(x^2+2x\right)+\left(3x+6\right)[/tex]
Factor out 'x' from [tex]x^2+2x[/tex]
i.e.
[tex]\:x^2+2x=x\left(x+2\right)[/tex]
Factor out '3' from 3x+6
i.e.
3x+6 = 3(x+2)
so the expression becomes
[tex]\:x^2+2x=x\left(x+2\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x+2[/tex]
[tex]=\left(x+2\right)\left(x+3\right)[/tex]
Hence,
[tex]\mathrm{Factor}\:x^2+5x+6:\quad \left(x+2\right)\left(x+3\right)[/tex]
Find the measure of angle b.
Answers
Answer:
angle b=36
Step-by-step explanation:
angle b = 90-54=36 (given b+54+90)
Billy plotted −3 4 and −1 4 on a number line to determine that −3 4 is smaller than −1 4 . A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. A point is 1 mark to the right of negative 1, and another point is 1 mark to the left of 0. Is he correct? Explain why or why not.
Answers
Answer:
Sample Response: Yes, Billy is correct. The fractions are placed on the correct tick marks. The smaller fraction is located to the left of the larger fraction.
Step-by-step explanation:
three examples of equations where there will be no solution.
Answers
Answer:
5x = 3x
4+8t-y=y-t+8
98/r=34t
Step-by-step explanation:
hope this helps!
mark me brainliest plz!
An estimate for - ✓ 72 is
A.- 8.1
b. - 8.5
c. -9.1
d. -9.5
Answers
2) Zoe was practicing for a marathon. She practiced for six days, running
four miles each day. How many miles did Zoe run altogether?
Answers
Answer: zoe ran 24 miles
HELPPP . sorry for cracked. screen.. Identify w as either rational or irrational
, and approximate to the tenths place. (4
points)
Answers
Answer:
Irrational: √2 = 1.4
Step-by-step explanation:
Zach has a basic cell phone plan that does not include texting. He is going to add a texting package to his cell phone plan. He has two choices of texting packages, A and B. Package A charges $0.15 per text with no monthly fees for the texting package. Package B charges $0.10 per text, but has a $10 monthly fee for the texting package. Write an equation that represents the total cost for each texting package if any amount of texts are sent. Be sure to define the variables you are using for your equation.
Answers
Answer:
bababoeybababoey
Step-by-step explanation:
Answer: STUPID
Step-by-step explanation:
Jeremy's password is the combination of letters and numbers shown below. He
wants to know the ratio of letters to numbers in this password. Use Jeremy's
password to write the ratio THREE different ways. (Hint: think about the different
formats) 27 R Q A58 E 3 (plz help I know the problem mightseem long but not really)
Answers
Answer:
numbers:letters
5:4 (numbers:letters form)
Step-by-step explanation:
There are 5 numbers in the password and 4 letters
Hopefully this helps :)
I NEED HELP ASAP!!!! PLS HELP ME. WILL MARK THE FIRST ANSWER BRAINLIEST!!!
Answers
Answer:
I am too young for this type of math, but I suggest you try M-a-t-h w-a-y
greatest common factor of 24, 36, and 50
Answers
Answer:
The greatest common factor of 24, 36, and 50 is 2.
Step-by-step explanation:
Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 50 are 1, 2, 5, 10, 25, 50
Therefore the GCF is 2.
We can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2
For us to get the greatest common factor of 24, 36, and 50, we need to get their individual factor first as shown:
24 = 2 * 12
36 = 2 * 18
50 = 2 * 25
From all the factors, we can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2
Learn more: https://brainly.com/question/219464
Order the numbers from greatest to least 0.7 0.007 1.7 0.17
Answers
Answer:
1.7,0.7,0.17,0.007 is the answer
Given the function f(x) = 4 - 2x: If the domain is {-4,0, 5), find the range.
A)
{-4, 4,-6)
B)
{-4, 4, 14)
C)
{12, 4, -6}
D)
{12, 4, 14)
Answers
Answer:
C) -4,4,-6
Step-by-step explanation:
domain is x so plug the domain numbers into the function
4-2(-4)=12
4-2(0)=4
4-2(5)=-6
Therefore Range is (-4,4,-6)
If Katarina runs at a pace of 5 mph, how many miles can she run in 4 hours? A. 22 miles B. 20 miles C. 21 miles D. 19 miles
Answers
Answer:
20 miles
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
a stock has a price of $58.63. This is $5.92 less than the price of stock yesterday. Write and solve an equation to find the price p (in dollars) of the stock yesterday.
Answers
Answer:
$52.71
Step-by-step explanation:
Today's price= $58.63
Yesterday's price= y
Difference= $5.92
y+5.92 = 58.63
y = 58.63 - 5.92
= $52.71
3(x-1) – 1= - 7x
2 3
I need help please
Answers
-3x. -7x
-1-1=-14x
-2=-14x
X=7
PLS HELP THX PLS jrkdkekmc
Answers
Answer: No
Step-by-step explanation:
The c kind of cut off, but you can use slopes to figure it out. The rule for a perpendicular slope is the opposite reciprocal. Assuming that C is the right angle, since right triangles typically work that way, we can figure out the slopes for ac and bc. The slopes are not reciprocals:
AC= -5/2
BC= -1/3
This isn't a right triangle because the lines are not perpendicular.
The width of a rectangle is 3 cm less than twice its length. If the perimeter of the
rectangle is 18 cm, find its dimensions.
Answers
Answer:
length=4
Width=2×4-3=5
Step-by-step explanation:
Let length =X
Width =2x-3
Perimeter=18
2(length+width)=18
2(X+2x-3)=18
3x-3=9
3x=12
X=12/3
X=4
So length=4
Width=2×4-3=5
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{Length \: = \: 4 \: cm}}}}[/tex]
[tex] \huge{ \boxed{ \bold{ \sf{Width = 5 \: cm}}}}[/tex]
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☯ Question :
The width of a rectangle is 3 cm less than twice its length. If the perimeter of the rectangle is 18 cm, find its dimensions.☯ Step - by - step explanation :
✒ First, Let length of a rectangle be ' L '.
✑ Given :
Width of a rectangle = 3 cm less than twice its length ( i.e W = 2L - 3 )Perimeter of a rectangle ( P ) = 18 cm☞ Finding value of length of a rectangle :
[tex] \boxed{ \sf{Perimeter \: of \: a \: rectangle = 2(L + W)}}[/tex]
Plug the values and solve for L
➺ [tex] \sf{18 = 2(L+ 2L - 3)}[/tex]
➺ [tex] \sf{18 = 2(3L - 3)}[/tex] { Add : 2L and L )
➺ [tex] \sf{18 = 6L - 6}[/tex] { Distribute 2 through the parentheses )
➺ [tex] \sf{6L - 6 = 18}[/tex] { Swipe the sides of the equation }
➺ [tex] \sf{6L = 18 + 6}[/tex] { Move 6 to right hand side and change it's sign )
➺ [tex] \sf{6L = 24}[/tex] { Add the numbers : 18 and 6 }
➺ [tex] \sf{ \frac{6L}{6} = \frac{24}{6}} [/tex] { Divide both sides by 6 }
➺ [tex] \boxed{ \sf{length \: ( \: L\: ) \: = \: 4 \: cm}}[/tex]
☞ Now , Evaluating 2L - 3 when L = 4 cm in order to find the value of width of a rectangle : [tex] \sf{2l - 3}[/tex]
➺ [tex] \sf{2 \times 4 - 3}[/tex] { Plug the value of length }
➺ [tex] \sf{8 - 3}[/tex] { Multiply 2 by 4 }
➺ [tex] \boxed{ \sf{Width \: ( \: W \: ) \: = \: 5 \: cm}}[/tex]
Hence ,
Length of a rectangle ( L ) = 4 cmWidth of a rectangle ( W ) = 5 cmHope I helped!
Have a wonderful day! ツ
~TheAnimeGirl ♡
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How to solve m(2x-5) = 9x-k STEP BY STEP