Answer:
179.78
Step-by-step explanation:
Let's count how much Abe has exactly:
32 one-dollar bills: $32
4 five-dollar bills: $20
32 quarters: $8
25 dimes : $2.50
82 pennies : $0.82
First check: $43.56
Second check: $122.90
Total = $229.78
And he wants a $50 bill... so he'll deposit $179.78 ($229.78 - $50).
Final answer:
Abe Cassidy will deposit $179.78 into his savings account.
Explanation:
Let's calculate how much Abe Cassidy will deposit into his savings account, considering he wants to receive a $50.00 bill in cash. To do this, we need to add up all the various types of money he has and then subtract the $50 he wishes to keep in cash.
32 one-dollar bills = $324 five-dollar bills = $2032 quarters = $8 (since 4 quarters = $1)25 dimes = $2.50 (since 10 dimes = $1)82 pennies = $0.82 (since 100 pennies = $1)1 check for $43.561 check for $122.90Adding all these amounts gives us a total of $229.78 before removing the $50 he wants in cash.
To find the amount he will deposit, we subtract the $50 from the total amount:
$229.78 - $50 = $179.78
Hence, Abe Cassidy will deposit $179.78 into his savings account.
Find the area of the trapezoid to the nearest tenth.
plz help :(
Check the picture below.
[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\ \cline{1-1} a=0.5\\ b=1.3\\ h=\frac{1.1}{\sqrt{2}} \end{cases}\implies A=\cfrac{\frac{1.1}{\sqrt{2}}(0.5+1.3)}{2} \\\\\\ A=\cfrac{~~\frac{1.1(1.8)}{\sqrt{2}}~~}{\frac{2}{1}}\implies A=\cfrac{1.98}{2\sqrt{2}}\implies A=\cfrac{0.99}{\sqrt{2}}\implies A\approx 0.7[/tex]
Please help me with probability!
What’s your question
The plate consists of 70 (7*10) squares with dimensions 1x1 square mm. Let [tex]w[/tex] be the number of white squares and [tex]b[/tex] the number of black squares. Then
[tex]b+w=70[/tex]
We're told there are 2 more black squares than white, so
[tex]b=2+w[/tex]
Then
[tex](2+w)+w=2+2w=70\implies1+w=35\implies w=34[/tex]
so there are 34 white squares and 36 black squares. The probability that Crystal is looking at a white square is
[tex]\dfrac{34}{70}=\dfrac{17}{35}[/tex]
Nelly runs a 10 mile race in 88 minutes. At this rate, how long would it take him to run 6.5 mile race.
Answer:
57.2 minutes
Step-by-step explanation:
One way in which to solve this problem is to write and solve an equation of ratios:
6.5 mi x
------------ = -----------
10 mi 88 min
Cross-multiplying, we get:
10x = 572
Then x = 57.2 minutes (to run this 6.5 mile race)
An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2/7 of all eggs are green, 1/4 of all are blue and the rest 26 eggs are red.
Answer:
15/28
Step-by-step explanation:
2/7 plus 1/4 plus 26 is 15/28
Answer:
Total number of eggs in basket = 56
Step-by-step explanation:
Let z be the total number of eggs
Green eggs = [tex]\frac{2}{7}[/tex] × z ........1
Blue eggs = [tex]\frac{1}{4}[/tex] × z .......2
Rest of eggs = 26 ........3
The addition of 1, 2 and 3 is equal to z
[tex]\frac{2}{7}[/tex] × z + [tex]\frac{1}{4}[/tex] + 26 = z
[tex]\frac{8z + 7 z}{28}[/tex] + 26 = z ∵GCF for 4 and 7 is 28
[tex]\frac{15z}{28}[/tex] + 26 = z
15z + (26 × 28) = 28z ∵ multiply both sides by 28
15z + 728 = 28z
28z - 15z = 728 .......... rearranging above equation
13z = 728 ⇒ z = [tex]\frac{728}{13}[/tex] ⇒ z = 56
Total number of eggs = z = 56
PLEASE HELP Which expression is equivalent? 8 − 5(3x − 7)
A) 15x + 43 B) 9x − 21 C) −9x + 21 D) −15x + 43
Which expression is equivalent? 6(2x + 3) − 4(5x + 2)
A) 8x + 10 Eliminate B) 8x − 10 C) −8x + 10 D) −8x − 10 Which is equivalent to the expression? 4(x + 5) + 4x + 8
A) 4(2x + 7) B) 5x + 17 C) 8(x + 4) D) 8x + 13
Answer:
Q1. D) -15x + 43Q2. C) -8x + 10Q3. A) 4(2x + 7)Step-by-step explanation:
[tex]Q1:\\8-5(3x-7)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=8-(5)(3x)+(-5)(-7)=8-15x+35=-15x+(8+35)\\=\boxed{-15x+43}[/tex]
[tex]Q2:\\6(2x+3)-4(5x+2)\qquad\text{use the distributive property}\\\\=(6)(2x)+(6)(3)+(-4)(5x)+(-4)(2)=12x+18-20x-8\\\\\text{combine like terms}\\\\=(12x-20x)+(18-8)=\boxed{-8x+10}[/tex]
[tex]Q3.\\4(x+5)+4x+8\qquad\text{use the distributive property}\\\\=(4)(x)+(4)(5)+4x+8=4x+20+4x+8\\\\\text{combine like terms}\\\\=(4x+4x)+(20+8)=\boxed{8x+28}=(4)(2x)+(4)(7)=\boxed{4(2x+7)}[/tex]
The scores on an exam are normally distributed, with a mean of 75 and a standard deviation of 5. What percent of the scores are less than 80?
A. 50%
B. 84%
C. 13.5%
D. 16%
Answer:
B. 84%
Step-by-step explanation:
Given
Mean= π=75
Standard Deviation= σ=5
As we have to calculate the percentage of score less than 80, we will find the z-score of 80
z=(x-μ)/σ
= (80-75)/5
=5/5
=1
The z-score table value for 1 is 0.8413.
For converting this value into percentage, the value will be multiplied by 100.
So,
Percentage of students whose score is less than 80 = 0.8413*100
=84.13%
Rounding off gives us : 84%
So option B is the correct answer..
Write and solve the equation and then check your answer.
A number increased by twenty-six is forty-two.
Which statements are correct? Check all that apply.
This is an addition problem.
This is a subtraction problem
The correct equation is s + 26 = 42.
The correct equation is s – 26 = 42.
To solve the equation, add 26 to both sides.
To solve the equation, subtract 26 from both sides.
Answer:
(statements listed below are correct)
this is an addition problem.correct equation is s + 26 = 42.to solve the equation, subtract 26 from both sides.Step-by-step explanation:
The correct statements are Option(A), Option(C) and Option(F).
What is an equation?A mathematical statement that consists of an equal symbol between two algebraic expressions with the same value is known as an equation.
Let the number be = S
When it is increased by 26 it becomes 42
S + 26 = 42( Option(A) and Option(C))
Subtract 26 from both the sides (Option(F))
S + 26 - 26 = 42 - 26
S = 16
Hence, it is proved that Option(A), Option(C) and Option(F) are correct.
Learn more about equation on:
https://brainly.com/question/2972832
#SPJ2
Which expression is equal to (f - g)(x)?
ANSWER
[tex](f-g)(x) = 11 |x| - 32[/tex]
EXPLANATION
The functions are:
[tex]f(x) = 10 |x| + 26[/tex]
[tex]g(x) = 58 - |x| [/tex]
[tex](f-g)(x) = f(x) - g(x)[/tex]
Plug in the functions:
[tex](f-g)(x) = 10 |x| + 26 - (58 - |x| )[/tex]
[tex](f-g)(x) = 10 |x| + 26 - 58 + |x| [/tex]
[tex](f-g)(x) = 10 |x| + |x| + 26 - 58[/tex]
[tex](f-g)(x) = 11 |x| - 32[/tex]
The correct choice is A
Answer:
11|x|-32 hope this helps :D
Step-by-step explanation:
10|x|+26-(58-|x|)
10|x|+26-58+|x|
10|x|+|x|+26-58
11|x|-32
suppose a triangle has sides a,b, and c, and that a²+b²>c². Let theta be the measure of the angle opposite the side of length of C
Answer:
The triangle is not a right triangle
[tex](\theta)[/tex] is an acute angle
[tex]cos(\theta) > 0[/tex]
Step-by-step explanation:
we know that
If a²+b²>c²
then
Is an acute triangle
therefore
angle theta must be less than 90 degrees
Hence
The triangle is not a right triangle
[tex]cos(\theta) > 0[/tex]
[tex](\theta)[/tex] ---> is an acute angle
Select all the correct answers
I would say B and D are correct.
Which of the following are necessary when proving that the opposite angles of a parallelogram are congruent? A. Opposite sides are perpendicular B. Opposite sides are congruent C. Angle addition postulate D. Segment Addition postulate
Answer:
The statements that are necessary when proving that the opposite angles of a parallelogram are congruent are:
B. Opposite sides are congruent - This has to be true as opposite sides should be similar.
C. Angle Addition Postulate. It states that if a point lies on the interior of an angle, that angle is the sum of two smaller angles with legs that go through the given point.
The options that are necessary when proving that the opposite angles of a parallelogram are congruent are:
Opposite sides are congruent.Angle addition postulate.What is needed to prove that opposite angles of a parallelogram?A parallelogram is known to be a quadrilateral tat is said to have two pairs of parallel sides.
Note that triangles ΔABD and ΔCDB are said to be congruent due to the fact that the angle-side-angle are congruent. parallelogram is said to have opposite sides are congruent sue to the fact that they have opposite sides that are similar.
Learn more about parallelogram from
https://brainly.com/question/970600
Timothy's box holds 5 kilograms of magazines and 27 kilograms of books.What is the total mass of the magazines and books
Answer:
31
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
you multiply 5 times 27 equals 135
A fast food restaurant sells burgers, chicken sandwiches, and entree salads. If a customer buys a burger, the probability they buy french fries is 0.80. Fifty percent of customers who purchase a chicken sandwich also buy fries, but only 10% of those buying an entree salad buy fries. Of all customers, 65% buy a burger, 20% a chicken sandwich, the rest buy an entree salad.
What proportion of customers get a burger and fries?
Answer:
52%
Step-by-step explanation:
We are told that, of all customers 65% buy a burger. This would imply that the proportion of customers who buy a burger is 0.65.
Moreover, if a customer buys a burger, the probability they buy french fries is 0.80. This implies that the proportion of customers who buy fries given that they bought a burger is 0.8.
Therefore, the proportion of customers who get a burger and fries is simply the product of the two probabilities;
= 0.65*0.8
= 0.52
Therefore, 52% of all customers get a burger and fries
An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X. The angle at city X created by the paths of the two planes moving away from city X measures 60°. What is the distance between the two airplanes to the nearest mile? Assume that the planes are flying at the same altitude.
Answer:
The distance between the two airplanes (to the nearest mile) is 1058 miles.
Step-by-step explanation:
An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.
Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.
The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.
In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.
Using law of cosines:-
AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).
AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).
AB² = 640000 + 1440000 - 2 * 960000 * 1/2
AB² = 2080000 - 960000
AB² = 1120000
AB = √(1120000) = 1058.300524
Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.
Read more on Brainly.com - https://brainly.com/question/12103659#readmore
A triangle has angles measuring 15 degrees and 45 degrees what is the measure of the 3rd triangle’s 3rd angle?
Answer:
60
Step-by-step explanation:
15+45-180
120-180
60
Side 3=60
Answer:
120
Step-by-step explanation:
15+45=60
180-60=120
Suppose that y varies inversely with x. Write an equation for the inverse variation. y=6 when x=8
Answer:
y = 48/x
Step-by-step explanation:
"Inverse variation" means y is proportional to the inverse of x. If the constant of proportionality is represented by k, then ...
y = k/x
Multiplying by x, we find k to be ...
xy = k
So, the given values tell us k is ...
8·6 = k = 48
and the desired equation is ...
y = 48/x
Answer:
i think y = 48/x
Step-by-step explanation:
The figure below shows trapezoid ABCD on a coordinate plane. Which following expressions represents the area of the figure EBCD in square units
The answer is 74 square units so B
Hope this helps you
Have a great day
☆ Dont forget to mark brainliest ☆
Answer:
EBCD=55.5 square units
Step-by-step explanation:
Since EBCD is a trapezoid you would plug in the lengths of the sides into the formula. First I will give you the side lengths.
BC=√37
EB=√37
CD=√74
ED=2√37
To solve for the area of EBCD we have to plug the numbers into the trapezoid formula 2√37+√37 divided by 2 times √37 =111/2 which that equals 55.5 square units.
I also know this is correct because I just took the assignment myself.
The two triangular pyramids are similar. The smaller pyramid has a volume of 52 inches3. What is the volume of the larger pyramid? Round to the nearest tenth. in.3
Answer:
the volume of the larger pyramid = 175.5 inches³
Step-by-step explanation:
* Lets revise the similar
- If two solids are similar,then the ratio between each two
corresponding dimensions are qual
- Their perimeters have the same ratio
- Their areas have the square of the equal ratio
- Their volumes have the cube of the equal ratio
* Lets solve the problem
- The two triangular pyramids are similar
- The perimeter of the base of the small one = 14 inches
- The perimeter of the base of the big one = 21 inches
∴ The ratio of the similarity = 14/21 = 2/3
∴ The ratio between their volumes is (2/3)³ = 8/27
∵ The volume of the small one = 52 inches³
- W will us the cub of the ratio to find the larger volume
∴ 52/V = 8/27 ⇒ by using the cross multiplication
∴ 52 × 27 = 8 × V
∴ 1404 = 8V ⇒ divide both sides by 8
∴ V = 175.5 inches³
Answer:
175.5 on edge
Step-by-step explanation:
hope it helps
This week laptops are 25% off. If a laptop costs $340, what is its sale price?
____________________________________________________
Answer:
Your answer would be $255
____________________________________________________
Step-by-step explanation:
To solve these kind of problems, what we have to do is find how much of 340 is 25%, and then subtract that number to the original price.
Let's give you some important information in the text:
25% off$340With the information above, we can solve our problem.
First, we would need to find how much of 340 is 25%, and to do that, we would multiply 340 by 0.25:
[tex]340*0.25 = 85[/tex]
When you solve, you should get 85. But, you're not done yet, we need to find out how much the sales price is, not how much of it is discounted.
In order to find the sales price, we would get our original number (the number it originally cost), and subtract it with the amount of money it's removing (85).
In this case, we would subtract 340 by 85.
[tex]340-85=255[/tex]
Your FINAL answer should be 255
The sales price of the laptop would be $255.
____________________________________________________
Add (6x^2-3x)+(5x-7)
No problem.
The answer is 31x.
Hope this helped
6x^2+2x-7 is the answer to that problem
Select the three sums equivalent to 13/8.
Answer:
26/16, 39/24, 52/32
Step-by-step explanation:
Answer: can you give me answer choises so i can answer?
What type of association does the following scatter plot represent?
A. Positive linear association
B. Negative linear association
C. Positive nonlinear association
D. Negative nonlinear association
B negative linear association
you randomly choose a natural number from 1 to 20. what id the probability that you will choose 8 or a multiple of 4?
Answer:
20%
Step-by-step explanation:
The elements or numbers are 1,2,3,4....20
And the probability you looking for is 4 and 8...thus only two elements... Counting them individually out of the total elements... Hence this gives... 2/20=1/10
What is the value of f^-1 (2)
Answer:
2/f is the correct answer.
The value of f^-1(2) refers to the value of x in the original function f(x) that corresponds to f(x) = 2. Essentially, it is asking what value of x, when substituted into the original function, would provide an answer of 2.
Explanation:The value of f^-1(2) is the pre-image, or the value of the variable x in the original function f(x), that corresponds to f(x) = 2 in the original function. An inverse function undoes the operation of the original function. For instance, if you have a function f(x) = y, the inverse function, denoted f^-1, would give you back x when you input y. Therefore, f^-1(2) asks for the value of x that would result in f(x) = 2 in the original function.
Learn more about Inverse Functions here:https://brainly.com/question/35491336
#SPJ3
50+ POINTS AND BRAINLIEST! PLEASE BE CORRECT!
What is the surface area of the prism?
Answer:
=234 mm^2
Step-by-step explanation:
The surface area of a rectangular prism is given by
SA = 2 (lw +lh +hw) where l is the length, w is the width and h is the height
SA = 2 ( 15*3 + 15*4 + 3*4)
= 2( 45+60+12)
= 2(117)
=234 mm^2
which is a prime number 7 63 33 27
The answer is seven
Justin made a scale drawing of a rectangular playground. he used the scale 2 inches: 3 feet. His drawing is 18 inches by 24 inches. What is the actual area of the playground?
Answer:-Steps-
1.)Divide 18 by 2
(18/2=9)
2.)Divide 24 by 2
(24/2=12)
3.)Multiply 18 and 3
(18 x 3 = 54)
4.)Multiply 24 and 3
(24 x 3 = 72)
5.) Now multiply 54 and 72
(54 x 72 = 3888)
The answer is 3888 feet or 118056 centimeters.
Step-by-step explanation:
The actual area of the playground is determined by converting the scale drawing dimensions to real-life measurements using the provided scale, resulting in a playground area of 972 square feet.
Justin has created a scale drawing of a playground using the scale 2 inches: 3 feet. To find the actual area of the playground, we first convert the dimensions of the drawing to real-life dimensions. The scale factor is found by dividing the scale's drawing unit by the real unit. This gives us a factor of 1 inch being equivalent to 1.5 feet since 2 inches represent 3 feet (2 inches / 3 feet = 1 inch / 1.5 feet).
The drawing dimensions are 18 inches by 24 inches. We multiply each dimension by our conversion factor (1.5 feet per inch) to get the real-life measurements:
Real length = 18 inches * 1.5 feet/inch = 27 feetReal width = 24 inches * 1.5 feet/inch = 36 feetTo find the actual area, we multiply the length by the width:
Area = length * width = 27 feet * 36 feet = 972 square feet
The actual area of the playground is 972 square feet.
Draw an angle of negative pie over three in
Standard position.
Check the picture below.
recall that negative angles go "clockwise".
Someone help me please
i think this is the answer
Step-by-step explanation: So i think the answer is 2 : 3 and another one is
3 to 2
Divide -3x3 - 2x2 - x - 2 by x – 2.
Answer:
The answer..,
Step-by-step explanation:
Let me know if you wanted the steps (:
ANSWER
[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]
EXPLANATION
We want to divide
[tex] - 3 {x}^{3} - 2 {x}^{2} - x - 2[/tex]
by
[tex]x - 2[/tex]
We perform synthetic division to obtain:
The remainder to be -36.
The quotient is
[tex] - 3 {x}^{2} - 8x - 17[/tex]
Therefore,
[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]