Answer:
Part A
y =($50 - ($23 × 2 + $5)+ $22)
y = $21
Part B
Clay can get his balance to zero by withdrawing or writing another check for $21
Step-by-step explanation:
Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22.
Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46
Let his final Account Balance = y
y =($50 - ($23 × 2 + $5)+ $22)
y =$72 - $51
y = $21
Part B: Explain in words, what Clay should do to get his account balance to zero?
Clay can get his balance to zero by withdrawing or writing another check for $21
= $21 - $21
= $0
The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?
Answer:
[tex]S_g= 33.333cm[/tex]
Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation
[tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]
Mathematically solving for total distance traveled we have
[tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]
[tex]S_g=\frac{30}{0.9}[/tex]
Therefore the total distance traveled by the pendulum after 5 swings
[tex]S_g= 33.333cm[/tex]
Write the equation of the line with the given slope and y intercept.
m = 0.25 b = 6
Answer:
y=−2x+6
Step-by-step explanation:
the equation of a line in slope-intercept form is. y=−2x+6 is the equation.
What is the answer? Please help
what 6666666666+999999999999999+676767676=
Answer:
1.00000734E15
Step-by-step explanation:
Answer:
1.000001343 x 10^15
Step-by-step explanation:
Please gimme brainliest
A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB
Please help
Thank you
Given:
A line AB joins the points A (3,4) and B (5,8).
To find:
The midpoint of the line AB.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is
[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]
[tex]Midpoint=\left(4,6\right)[/tex]
Therefore, the midpoint of the line AB is (4,6).
Which of the following is the equation of the line that passes through the given point and has the given slope?
Answer:
The first choice
Step-by-step explanation:
y = mx+b
y = -3x+b
4 = -3*-1 + b
4 = 3 + b
b = 1.
Write an integer (positive or negative whole number) to represent each description.
Integer Vocabulary
The football player had a 5-
yard loss on the play.
17 units to the left of -6 on a number
line.
Answer:
Football player= -5
Number line= -23
Step-by-step explanation:
Loss means negative
Left on a number line is subtraction
I need help with math work pls explain
Answer:
0.1 % first question
0 second question
Pentagon ABCDE is dilated according to the rule DO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph. On a coordinate plane, pentagon A prime B prime C prime D prime E prime has points (negative 3, 6), (negative 0.5, 8), (2, 6), (1, 3), and (negative 2, 3). What are the coordinates of point A of the pre-image?
Answer:The coordinates of point A are (-1, 2).
Step-by-step explanation:
Edge
Answer:
-1/2
Step-by-step explanation:
yes
what is the geometric mean of 0.5 and 2
Answer:
5
Step-by-step explanation:
4 • (6 – 4) 2 ÷ 2
Cary says the value of this expression is 40. Is he right? If not, give the correct answer
ez question, just kinda distracted and need to get by it.
Answer:
Cary is wrong
Step-by-step explanation:
4* (6-4)= 4* 2=8
I think it is saying (8*2) divided by to, which in that case is 8,
but if it is asking 8 (2/2) then that would also be 8 I believe. I really hope this is correct and you have a great day :)
Answer:
Cary is inncorrect. It is 4.
-14-8x=-2(-3x+7) one solution,no solution,or infinite
Can somebody please help me this is all I need
please answer this, thank you
Answer:
3
Step-by-step explanation:
I have showed the steps in the attached image.
I could really use some help !! Thank you !!
(The question is in the photo)
Answer:
1
Step-by-step explanation:
1. Temperature: Which number from the following list of temperatures (in
degrees fahrenheit) is the coldest?
17
15
27
Name the vertical angles in the diagram below:
Hey there!
The vertical angles in the diagram shown are 2 and 3, and 1 and 4, because they are formed by 2 intersecting lines and are across from eachother.
Hope it helps and have a good day!
Which of these factions are greater than 11/20
Pls help :(
Clare and Han are discussing how to find the missing lengths. Clare says she is using similarity. Han says he is using the Pythagorean Theorem.
Find the missing sides
Answer:
similarity
Step-by-step explanation:
look , dude
the two triangles have the following features:
the angle B= angle C = 90 degree
the angle A= the angle F
so the third angle in the first triangle = the third angle in the second triangle
so you have one condition of similarity which is the three angles are equal
to get the answer for lengths :
ab/fe= constant of proportionality
thus ab/fe=2.5/5=.5
so ac/13=.5 thus ac=6.5
and 6/de=.5 so de=12
Both similarity and Pythagorean theorem can be used to find the missing lengths as AC = 6.5 and DE = 12.
What are Similar Triangles?Similar triangles are those triangles which has the same shape but different size.
The length of sides and angles are proportional in similar triangles.
Pythagorean theorem states that for a right angled triangle,
Hypotenuse² = Base² + Altitude²
AC² = BC² + AB²
AC² = 6² + 2.5²
AC² = 42.25
AC = √(42.25) = 6.5
Similarly,
DF² = DE² + EF²
13² = DE² + 5²
DE² = 13² - 5²
DE² = 144
DE = √(144) = 12
If we are using the concept of similarity, ratio of corresponding sides are equal for similar triangles.
AB / EF = BC / DE = AC / DF
2.5 / 5 = 6 / DE = AC / 13
Consider 2.5 / 5 = 6 / DE
Then DE = (6 × 5) / 2.5 = 12
Consider AB / EF = AC / DF
2.5 / 5 = AC / 13
AC = (2.5 / 5) × 13 = 6.5
Hence the missing lengths are AC = 6.5 and DE = 12.
To learn more about Similar Triangles, click :
https://brainly.com/question/14926756
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What is one of the greatest problems in Brazil?
O education
O language
O transportation
Answer:
c transportation
Step-by-step explanation:
How does 10 x (-3)^24 simplify to positive 10 x 3^24 and not negative 10 x 3^24 ?
Answer:
Below.-
Step-by-step explanation:
Because when a negative is taken to an even power the results is positive.
So (-3)^24 is positive as 24 is even, and is the same as 3^24, and so the whole expression
10 * (-3)^24 = 10 ^ 3^24.
HELP PLEASE! DELTA MATH! THANKS!
Last year at a certain high school, there were 140 boys on the honor roll and 68 girls on the honor roll. This year, the number of boys on the honor roll increased by 5% and the number of girls on the honor roll increased by 25%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Answer:
11.5
Step-by-step explanation:
Find new values:
140(1+0.05)=147
68(1+0.25)=85
Last Year This Year
Boys 140 147
Girls 68 85
Total 208 232
Find overall increase:
208(1+r)=232
1+r=1.115385
r=0.115385
Final Answer: 11.5%
The total number of students on the honor roll increased by 11.5%.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The percentage increase in the number of boys on the honor roll is 5%, which means that the number of boys on the honor roll this year is 1.05 times the number of boys on the honor roll last year:
1.05 x 140 = 147
The percentage increase in the number of girls on the honor roll is 25%, which means that the number of girls on the honor roll this year is 1.25 times the number of girls on the honor roll last year:
1.25 x 68 = 85
Therefore, the total number of students on the honor roll this year is:
147 + 85 = 232
The percentage increase in the total number of students on the honor roll is:
((232 - 208) / 208) x 100% = 11.5385%
Rounding to the nearest tenth gives an answer of 11.5%.
Therefore, the total number of students on the honor roll increased by 11.5%.
Learn more about percentages here:
brainly.com/question/24159063
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In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)
∘
, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)
∘
, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)
∘
. What is the value of x?x?
Answer:
x=11
Step-by-step explanation:
Using the Exterior Angle Theorem. . .
(3x+8) + (2x+9) = (8x-16)
Solve to get x = 11
Fatima used a coupon to pay for a pair of jeans. The original price of the jeans was $25. The coupon reduced the price to $16. Which equation can you use to help you find the value of the coupon? *
Answer:
16+c=25
Step-by-step explanation:
Find WZY. (helpp fast)
Answer:
[tex]m\angle WZY = 24^\circ[/tex]
Step-by-step explanation:
Angles and Lines
The figure shows two triangles WXZ and WYZ. Considering:
* Angles WXZ and WYZ are right (90°)
* Sides XW and YW are congruent (red marker on both)
* They share the side WZ.
We can conclude they are congruent. Thus, angles XZW and YZW are congruent or have the same measure:
5x + 4 = 6x
Subtracting 5x:
4 = x
Or, x =4
Thus:
[tex]m\angle WZY = 6x = 24^\circ[/tex]
[tex]\mathbf{m\angle WZY = 24^\circ}[/tex]
a porcupine has a mass of 27 kg. A.
cat has a mass of 6,300 g. Which
animal has the greater mass?
Answer:
porcupine
Step-by-step explanation:
6300g = 6.3 kg
Step-by-step explanation:
the porcupine has more mass
Find the area of this parallelogram.
Step by step explanation :
❃ [tex] \underline{ \underline{ \sf{Given} }}: [/tex]
Base length ( b ) = 21 cmVertical height ( h ) = 9 cm Slant height = 12 cm { Ignore the slant height as it is not required while finding the area }❃ [tex] \underline{ \underline{ \sf{To \: find}} }: [/tex]
Area of the given parallelogram✑ [tex] \bold{ \red{ \boxed{ \sf{Area \: of \: a \: parallelogram \: = bh}}}}[/tex]
Substitute the known values :
⇝ [tex] \sf{21 cm \times 9 \: cm}[/tex]
⇝ [tex] \boxed{ \bold{ \sf{189 \: {cm}^{2} }}}[/tex]
☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer : \bold{ 189 \: {cm}^{2} }}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ツ
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please help if you can
Answer:
Lets solve it
4x-3 <5
4x<5+3
4x<8
x<8/4
x<2
So yes, two is a solution
Step-by-step explanation:
Answer:
[tex]4(2) - 3 \leqslant 5 \\ \: \: 8 - 3 \leqslant 5 \\ 5 \leqslant 5[/tex]
I believe the answer is
[tex]yes[/tex]
Step-by-step explanation:
i hope this helps!
Please answer this question
Answer:
Properties of operations help a lot in solving problems related to integers and rational numbers. Step-by-step explanation: ... These properties are used to solve problems involving rational numbers as well as integers. These properties are associative,commutative, distributive and identity.
Step-by-step explanation:
pls give me brainliest
Plz help me i need it BRAINLIEST AND GOOD RATING IMMEDIATLY
Marcus and Lily are running at the school track. The graphs below represent the distance in miles each person has run as function of time in minutes. Select all the statements that are true based on the graphs shown.