Emma's grandmother sent her an $80 bookstore gift card for her birthday. Emma wants to make sure that her purchases don't exceed the amount of her gift card. So far, she has selected books that cost $8.95, $11.95, $22.25, and $24.95. She has also found a calendar she likes for $8.25. Round each item up to the next dollar to overestimate the total cost of the items in Emma's shopping basket.
Answer: total cost of the estimated items = $76
Step-by-step explanation:
Step 1
Rounding up each item to the next dollar
Book 1 = $8.95 ≈ $9.00
Book 2 = $11.95≈ $12.00
Book 3 = $22.25≈$22.00
Book 4 = $24.95≈$25.00
Calendar = $8.25 ≈$8.00
Step 2
The total estimated cost of items in Emma's shopping basket =$9.00+$12.00+$22.00+$25.00+$8.00
=$76 which did not exceed the amount of bookstore gift card of $80 sent by her grandmother.
Answer: 78$
Actual Estimate
$8.95 --------------------------$9.00
$11.95--------------------------$12.00
22.25--------------------------$23.00
$24.95------------------------$25.00
$8.25--------------------------$9.00
Then add the estimate numbers to get $78
ten divided by three
Answer:
3.333333
Step-by-step explanation:
thats what it is my guy
Use the provided ruler to find the scale and the scale factor of the drawing. The scale measures 4 centimeters equal to 120 meters. The scale factor is ?
Answer:
1 : 3000
Step-by-step explanation:
Given that:
Scale measurement as following:
4 centimeters are equal to 120 meters.
To find:
The scale factor = ?
Solution:
First of all, let us learn about the definition of scale factor.
Scale factor means 1 unit on scale is equal to what length of actual measurement.
We are given that 4 cm on scale is equal to 120 meters of actual length.
We need to find nothing but how much 1 cm of scale is equal to actual length.
4 cm of scale = 120 meters or 12000 cm of actual length
Dividing by 4 on both sides, we get:
[tex]\frac{4}{4}[/tex] = 1 cm of scale = [tex]\frac{12000}{4}[/tex] = 3000 cm of actual length
Therefore, the scale factor is 1 : 3000
The scale factor is 1; 3000.
Given
The scale measures 4 centimeters equal to 120 meters.
What is the scale factor?The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.
Scale factor means 1 unit on the scale is equal to what length of actual measurement.
4 cm of scale = 120 meters or 12000 cm of actual length.
1 cm of scale = 4/4
Then,
[tex]= \dfrac{12000}{4}\\\\=3000[/tex]
Hence, the scale factor is 1; 3000.
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Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25 1.How much money did Bruce spend in all? 2. How much change did he get back?
Answer:
1. $13.7
2. $6.3
Step-by-step explanation:
Bruce used a $20 to pay for a movie ticket for $7.50, popcorn for $3.95,and a drink for $2.25
1. How much money did Bruce spend in all?
$7.50 + $3.95 + $2.25
=$13.7
2. How much change did he get back?
= $20 - $13.7
= $6.3
Does this graph show a function? Explain how you know.
5
-5
5
-6
A. Yes; the graph passes the vertical line test.
B. No; there are y-values that have more than one x-value.
C. Yes, there are no y values that have more than one x-value.
D. No; the graph fails the vertical line test.
Answer:
D. No; the graph fails the vertical line test
The correct option is D. No, the graph fails the vertical line test.
What is vertical line test?The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.
In the given graph, the graph of a function intersects the y axis twice.
Any vertical line in the x y plane must intersect the graph of a function at most once.
Thus, the correct option is D.
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ASAP!!! Will give brainliest!!! Solve for X
Answer:
h=√p^2+b^2
13 = √x^2+(x+7)^2 now you can solve
Answer:
x = 5
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + (x + 7)² = 13² ← expand and simplify left side
x² + x² + 14x + 49 = 169 ( subtract 169 from both sides )
2x² + 14x - 120 = 0 ( divide through by 2 )
x² + 7x - 60 = 0 ← in standard form
(x + 12)(x - 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 12 = 0 ⇒ x = - 12
x - 5 = 0 ⇒ x = 5
But x > 0 , thus x = 5
What are the x and y Intercepts for the equation / graph 2x + 5y = 10
Answer:
y-intercept: 2
x-intercept: 5
Step-by-step explanation:
2x + 5y = 10
Let x = 0
2(0) + 5y = 10
y = 2
y-intercept: 2
Let y = 0:
2x + 5(0) = 10
2x = 10
x = 5
x-intercept = 5
Mi-Young makes 24 cups of seafood kalguksu.This is 60% of the total kalguksu she makes.
Complete question :
Mi-Young makes 24 cups of seafood kalguksu.This is 60% of the total kalguksu she makes. Total kalguksu made is?
Answer:
40 cups
Step-by-step explanation:
Given that :
24 cups = 60% of total made
Let total kalguksu made = x
Hence,
24 cups = 0.6x
24 = 0.6x
Divide both sides by 0.6
24/0.6 = x
x = 40
Hence, total seafood Kalguksu made = 40 cups
If you can help that would be great!!!!
Answer:
1 and four
Step-by-step explanation:
Answer:
1 and 4
Step-by-step explanation:
A vertical angle is one of two opposite and equal angles formed by the intersection of two lines.
1 and 4
2 and 3
5 and 8
6 and 7
are all answers
Hiram takes an Uber from his house to the alrport. The Uber driver charges $3.50 initial fee plus
$7.25 per mile. Write the equation that can be used to find y, the total cost of the trip, If x
represents the number of miles in the trip? (Do not include $ in your equation).
Answer:
y = 7.25x + 3.50
2/5k - 3 1/2. K= 15
EVALUATE
Answer:
Solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]
Step-by-step explanation:
We need to solve the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] and find value of k
Solving:
[tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex]
Convert mixed fraction into improper fraction
[tex]\frac{2}{5}K-\frac{7}{2}K =15[/tex]
Taking LCM of 5 and 2 we get 10
[tex]\frac{2*2K-7*5K}{10} =15\\\frac{4K-35K}{10} =15\\\frac{-31K}{10} =15[/tex]
Divide both sides by -31/10
[tex]\frac{-31K}{10}*\frac{-10}{31}=15* \frac{-10}{31}\\K=\frac{-150}{31} \\K=-4\frac{26}{31}[/tex]
So, solving the expression: [tex]\frac{2}{5}K-3\frac{1}{2}K =15[/tex] we get [tex]\mathbf{K=\frac{-150}{31} \ or \ \ K=-4\frac{26}{31} }[/tex]
Evaluate this expression when x is 50
-6x+150
Answer:
-150
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
-6x + 150
x = 50
Step 2: Evaluate
Substitute in x: -6(50) + 150Multiply: -300 + 150Add: -15016an - 19an +8b +9an +12 b
Answer:
16an - 19an + 9an + 8b + 12b
6an + 20b
Answer:
6an+20b I believe
Step-by-step explanation:
It’s late! Please help me asap!
Answer:
D. x = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify Variables
Leg a = 8
Leg b = x
Hypotenuse c = 10
Step 2: Solve for x
Substitute [PT]: 8² + x² = 10²Isolate x term: x² = 10² - 8²Exponents: x² = 100 - 64Subtract: x² = 36Isolate x: x = 6Answer:
x=6
Step-by-step explanation:
According to Pythagoras theorem
x²+y²=z²
x²+8²=10²
x=√10²-8²
x=√100-64
x=√36
x=6
WORTH ALOT OF POINTS PLEASE SHOW WORK!!!!
Write four sets of values that represent y = 4Xin the table below.
Answer:
Step-by-step explanation:
y = 4 * x
you can replace y and x with any values, but it has to be correct. you can say 15 = 4 * 3, but that isn't correct. but you can say 16 = 4 *4
The value of the equation is y = 4x
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
y = 4x be equation (1)
On simplifying the equation , we get
when x = 1
y = 4 ( 1 )
y = 4
when x = 2
y = 4 ( 2 )
y = 8
when x = 3
y = 4 ( 3 )
y = 12
when x = 4
y = 4 ( 4 )
y = 16
Therefore , the values of y are { 4 , 8 , 12 , 16 }
Hence , the equation is y = 4x
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Help me increase 91 by 3/7
Answer:
130
Step-by-step explanation:
First calculate 3/7 of 91
- 91 / 7 * 3 = 39
Then add your answer on to 91
- 91 + 39 = 130
Answer:
The answer is 130
Step-by-step explanation:
Hope this helped have an amazing day!
Are the triangles congruent? and why?
Answer: ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.
1) The roots of the equation 9x2 + 3x – 4 = 0 are
A) real, irrational, and unequal
B) real, rational, and unequal
C) imaginary
I
D) real, rational, and equal
Answer:
D.
Step-by-step equation:
I don't know but i think this is the answer.
The roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.
What is a quadratic equation?A quadratic equation is a polynomial which has the highest degree equal to two. It is a second-degree equation of the form ax² + bx + c = 0, where a, b, are the coefficients, c is the constant term, and x is the variable.
For the given situation,
The equation is 9x^2 + 3x – 4 = 0
The roots of the equation can be found by the formula,
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]x=\frac{-b-\sqrt{b^{2}-4ac } }{2a}[/tex]
here, a = 9, b = 3 and c = -4
Substitute the above values,
⇒ [tex]x=\frac{-3+\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex] or [tex]x=\frac{-3-\sqrt{3^{2}-4(9)(-4) } }{2(9)}[/tex]
⇒ [tex]x=\frac{-3+\sqrt{9+144 } }{18}[/tex] or [tex]x=\frac{-3-\sqrt{9+144 } }{18}[/tex]
⇒ [tex]x=\frac{-3+\sqrt{153 } }{18}[/tex] or [tex]x=\frac{-3-\sqrt{153 } }{18}[/tex]
⇒ [tex]x=\frac{-3+12.36 }{18}[/tex] or [tex]x=\frac{-3-12.36 }{18}[/tex]
⇒ [tex]x=\frac{9.37}{18}[/tex] or [tex]x=\frac{-15.37}{18}[/tex]
⇒ [tex]x=0.5205[/tex] or [tex]x=-0.8538[/tex]
Hence we can conclude that the roots of the equation are x = 0.5205 and x = -0.8538. These roots are real, rational and unequal, thus option (B) is the correct answer.
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a scientist mixes water (containing no salt) with a solution that contains 30% salt. she wants to obtain 210 ounces of a mixture that is 5% salt. how many ounces of water and how many ounces of the 30% salt solution should she use?
Answer:
er n4356463
Step-by-step explanation:
Solve 4x- c= k for x.
A. x = 4(k+ c)
B. x = k +c / 4
C. x = k-c/4
D. x = 4(k - c)
Answer:
The answer would be x= C+K/ 4
find the slope of the line that passes through (48,44) and (6,9)
y’all i need help on the last one
Answer:
Step-by-step explanation:
Kindly share the exact question
Kaitlyn start a job that pays $8.50 per hour Caitlin's manager says that if her job reviews were favourable she can expect annual pay rate increases of $0.75 which equation represents the relationship between years on the job and pay for our
Given:
Initial pay rate = $8.50 per hour
Increase in pay rate = $0.75 per year
To find:
The equation that represents the relationship between years on the job and pay for hour.
Solution:
Let x be the number of years and y be the pay rate after x years.
According to the question,
Increase in pay rate in 1 year = $0.75
Increase in pay rate in x year = $0.75x
So, variable pay rate = $0.75x
Initial pay rate = $8.50
So, the total pay rate is
Total pay rate = Initial pay rate + Variable pay rate
[tex]y=8.50+0.75x[/tex]
Therefore, the required equation is [tex]y=8.50+0.75x[/tex].
Please help I’m being timed
Four points are shown
D (-2, 1)
E (1, 5)
F (4, 9)
G (7, -3)
which three points are contained by the same line?
A: D, E, F
B: E, F, G
C: D, E, G
D: D, F, G
What is an adjective that starts with t and means sweet? Okay, here's context, I'm making a u s e r n a m e, and one of the adjectives is "taro" If not, what are just some good u s e r n a m e s
Treat
The question confuses me but treat starts with t, is an adjective, and rhymes with sweet
What equation in slope intercept form represents the line that passes through the two points? (5, 6), (9, –2)
Anwsers
A. Y=2x- 16
B. Y= -1/2x- 16
C. Y= 1/2x+ 16
D. Y= -2x+ 16
On Saturday, Alicia ran 2 miles. This was 0.3 miles farther than Henry ran. Write and solve an
an addition equation to find out how many miles Henry ran.
Answer: a - 0.3.
Step-by-step explanation;
Let a represent the number of miles that Alicia ran. The equation will be this: a - 0.3. You will subtract 0.3 from the number of miles that Alicia ran because her amount is 0.3 miles farther than what Henry ran.
Y= -2x+4 by graphing
Answer:
See attached file.
Step-by-step explanation:
This can be graphed by plugging in two distinct x values and solving each for y. That will give you two x,y coordinates to draw on the graph, which will let you trace the line defined by them.
You can get the points where the line intersects the axis by solving either variable for zero. Try giving x a value of 2 or 0 to find those.
Combine like terms in (3x+5)+(4x-30
Answer:
The answer is 7x-25
Step-by-step explanation:
(3x+5)+(4x-30)
=3x+4x+5-30
=7x-25
Answer:
(3x+4x) + (5-30)
Step-by-step explanation:
For this problem which is all addition and subtraction it is simply having you combine like terms or rather terms with same variables (3x and 4x). You just need to be careful with the signs when you rewrite the problem so when you solve you get the correct answer. Example if you were to solve this one you would combine your numbers with variable of x and then the numbers without the variable:
(3x+4x) +(5-30)
7x + -25 or 7x-25
2. List the first four terms of the geometric sequence with a, = 5 and r = -2.
Answer:
[tex]5,~ -10,~ 20,~ -40[/tex]
.
Step-by-step explanation:
Geometric sequence
[tex]Un = ar^{n - 1}[/tex]
.
We know that
a = 5 and r = -2
.
So
[tex]U_1 = 5(-2)^{1 - 1} = 5(-2)^0 = 5[/tex]
[tex]U_2 = 5(-2)^{2 - 1} = 5(-2)^1 = -10[/tex]
[tex]U_3 = 5(-2)^{3 - 1} = 5(-2)^2 = 20[/tex]
[tex]U_4 = 5(-2)^{4 - 1} = 5(-2)^3 = -40[/tex]
.
Happy to help :)
Answer:
the aswers is 5, -10, 20,-40
