Monica originally had $1.50
Data;
Let x represent the initial amount she hadWord ProblemTo solve this, we have to write the word problem in an equation which we can solve.
Assuming she had x amount of money and she gave half to her brother, we can write an equation for that
[tex]x - \frac{x}{2} = x- 0.5x[/tex]
But she also lost 25 cents and she have 50 cents left, let's put this in an equation.
[tex]x-0.5x-0.25 = 0.50[/tex]
let's collect like terms and solve for x
[tex]x-0.5x-0.25=0.50\\0.5x=0.5+0.25\\0.5x= 0.75\\\frac{0.5x}{0.5} =\frac{0.75}{0.5}\\ x = 1.5[/tex]
From the calculations above, Monica originally had $1.50
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There are 20 people in a room. What percent of the room is filled if it has a capacity of 160
people?
high points pls help
kayla wants to find the width, AB, of a river. she walks along the edge of the river 150 ft and marks point c. then she walks 32 ft further and marks point D. she turns 90° and walks until her location, point A, and point C are collinear. she marks point E at this location, as show.
Answer:
32 x 150 = A = 2 x 2 = c + b = 254
Step-by-step explanation:
The temperature is 20 degrees below zero. What numerical value represents the temperature?
Answer:
-20
Step-by-step explanation:
A ROUND-TRIP bus ticket to NYC costs $10.45. A pack of ten single-trip tickets for the same trip is $39.40. This pack is good for 20 days, counting the day purchased.
1. If Singh purchases a ten-trip ticket pack on Thursday, July 7, by what day must he use this last trip?
2. How much does he save by buying the ten-trip packet?
Consider AABC with vertices A B C (3,1), (1, 2),and (4, 2) as shown in the accompanying diagram.
Is the triangle a right triangle? Justfify.
Answer:
yes; AB ⊥ BC
Step-by-step explanation:
If the triangle is to be a right triangle, the slopes of two sides must be opposite reciprocals. The slope is the ratio of rise to run.
mAB = rise/run = -3/4
mBC = rise/run = 4/3
These slopes, -3/4 and 4/3 are opposite reciprocals (their product is -1), so ...
AB ⊥ BC . . . the triangle is a right triangle
oranges sell for $0.38 per pound. How much will 192 oranges cost?
$0.38×192=$72.96
So the answer is $72.96
Question 11
The mean of five numbers is 16.
When two extra numbers are included the mean of the seven numbers is 20.
Find the mean of the two extra numbers.
Answer:
30
Step-by-step explanation:
The mean of 5 numbers is 16 => the sum is 16 x 5 = 80
The mean of 7 numbers is 20 => the sum is 20 x 7 = 140
So, the sum of the 2 extra numbers is 140 - 80 = 60
And the mean will be 60 : 2 = 30
Hope it helps :D
15. The ticket price for a concert in a historic music hall cost $11.20 for the concert with a program and a
hall restoration fee of d dollars. The price for 11 tickets comes to $128.15. What equation could
represent this situation? What is the cost of the hall restoration fee?
What is the measure of angle C in the following pentagon?
Answer:
122
Step-by-step explanation:
The sum of interior angles of a pentagon is 540. The angles we have are 105, 86, 137, and 90. This means that if you subtract those from 540, you get 122.
can someone help me with this please
Answer:
A.1: ∠BAC ≅ ∠BDC ≅ ∠EDF, ∠ACD ≅ ∠ABD ≅ ∠BDE ≅ ∠CDF
A.2: ∠1 ≅ ∠4, ∠2 ≅ ∠3 ≅ ∠5 ≅ ∠6
A.3: ∠2 ≅ ∠3
B.1: ∠ACD ≅ ∠CAB, ∠CDA ≅ ∠ABC, ∠DAC ≅ ∠BCA
B.2: ∠1 ≅ ∠3 ≅ ∠5, ∠2 ≅ ∠4 ≅ ∠6
see "additional comment" regarding listing pairs
Step-by-step explanation:
There are a number of ways angles can be identified as congruent. In each case, the converse of the proposition is also true.
opposite angles of a parallelogram are congruentcorresponding angles where a transversal crosses parallel lines are congruentalternate interior angles where a transversal crosses parallel lines are congruentvertical angles are congruentany two angles with the same measure are congruentIn these exercises, pairs of angles need to be examined to see which of these relations may apply.
__
ALeft
ABCD is a parallelogram, so the congruent angles are opposite angles and any that are vertical or corresponding:
∠BAC ≅ ∠BDC ≅ ∠EDF ≅ 110° (3 pairs)
∠ACD ≅ ∠ABD ≅ ∠BDE ≅ ∠CDF ≅ 70° (6 pairs)
Center
∠1 ≅ ∠4 ≅ 66° (1 pair) . . . . vertical angles
∠2 ≅ ∠3 ≅ ∠5 ≅ ∠6 ≅ 57° (6 pairs) . . . . marked with the same measure, and their vertical angles
Right
Assuming that lines appearing to go in the same direction actually do go in the same direction, the only pair of congruent angles in the figure is ...
∠2 ≅ ∠3
__
BLeft
Corresponding angles in congruent triangles are congruent. Here, the congruent triangles are ΔACD ≅ ΔCAB. So, the pairs of congruent angles are ...
∠ACD ≅ ∠CAB (30°)
∠CDA ≅ ∠ABC (90°)
∠DAC ≅ ∠BCA (60°)
Right
The corresponding angles and any vertical angles are congruent. This means all the odd-numbered angles in the figure are congruent, and all the even-numbered angles in the figure are congruent. The marked 72° angles show the "horizontal" segments are parallel by the converse of the corresponding angles theorem.
∠1 ≅ ∠3 ≅ ∠5 (72°) (3 pairs)
∠2 ≅ ∠4 ≅ ∠6 (108°) (3 pairs)
_____
Additional comment
The question asks you to list pairs of congruent angles. When 3 things are congruent, they can be arranged in 3 pairs:
a ≅ b ≅ c ⇒ (a≅b), (a≅c), (b≅c)
Similarly, when 4 things are congruent, they can be arranged in 6 pairs:
a ≅ b ≅ c ≅ d ⇒ (a≅b), (a≅c), (a≅d), (b≅c), (b≅d), (c≅d)
In the above, we have elected not to list all of the pairs, but to list the set of congruences from which pairs can be chosen.
What is the volume of a square
pyramid with the base length of
24in and a height of 18in?
Answer:
V=3456
Step-by-step explanation:
V=[tex]a^{2}[/tex][tex]\frac{h}{3\\}[/tex]
Which figure shows the correct dimensions of a 310 scale drawing of the given figure?
Answer: the scale copy of the given figure is the fourth answer
Step-by-step explanation:
the question is confusing....
Answer:
[tex]c=35r+10[/tex]
Step-by-step explanation:
We need to create a linear equation in the form: c = mr + b
(where m is the slope and b is the y-intercept)
Choose two ordered pairs from the table: (2, 80) and (4, 150)
Let [tex](r_1,c_1)[/tex] = (2, 80)
Let [tex](r_2,c_2)[/tex] = (4, 150)
Calculate the rate of change (slope of linear equation) by dividing the change in c by the change in r:
[tex]\textsf{slope} \ m=\dfrac{c_2-c_1}{r_2-r_1}=\dfrac{150-80}{4-2}=35[/tex]
Now use point-slope form of linear equation to create final equation:
[tex]c-c_1=m(r-r_1)[/tex]
[tex]\implies c-80=35(r-2)[/tex]
[tex]\implies c=35r+10[/tex]
DeShawn is 38 years old and is married with 3 children, ages 2, 4, and 6. He makes $45,000 a year and is planning to retire when he turns 60. From the following three options, DeShawn decides to buy the $900,000 20 year term policy. Given DeShawn’s scenario, assess whether DeShawn made a wise decision. Annual life insurance premium (per 1,000 dollars of face value) for age 38. A 20-year term for male is 15 dollars and 38 cents, and for female is 14 dollars and 88 cents. Whole life: for male is 22 dollars and 40 cents, female is 20 dollars and 4 cents. 20-year endowment: male is 30 dollars and 5 cents and female is 29 dollars and 63 cents. A. DeShawn would be safer buying whole life policy. B. DeShawn would have more money in the long run if he invested in the 20-year endowment. C. DeShawn’s current policy will cover his family for an adequate period of time at his current salary. D. DeShawn’s current policy has too high of a face value and does not cover his family long enough. Please select the best answer from the choices provided A B C D.
Answer is C I took the quiz
The correct answer to Deshawn's decision is; C: DeShawn's current policy will cover his family for an adequate period of time at his current salary.
What is the benefit of the pension Policy?From the scenario in the question about the policy chosen by DeShawn, we can say that DeShawn made a good decision. This is because his current policy will cover his family for an adequate period of time at his current salary.
Now, it must be noted that the premiums are nominal and as such he will earn a good salary which will help to cover all the expenses and premiums.
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A side of the triangle below has been extended to form an exterior angle of 79°. Find the value of x. ??????
- 100 point question
Answer:
x = 101 °
Step-by-step explanation:
Here give ∠ ACD exterior angles 79 °
[Angle Addition Postulate and definition of straight angle: ]
∠ACD + ∠ACB = 180
79 + n = 180
n =180-79=101
n = 101
[RevyBreeze]
Apply supplementary angle theorem
They have sum 180°[tex]\\ \rm\rightarrowtail x+79=180[/tex]
[tex]\\ \rm\rightarrowtail x=180-79[/tex]
[tex]\\ \rm\rightarrowtail x=101[/tex]
What is true about the cell cycle? Select all that apply.
ALL cells divide during the cell cycle.
it is the repeating stage of a cell, including cell division
cytoplasm divides during cytokinesis
Mitosis occurs during the mitotic phase
The true statement about the cell cycle is that all cells divide during the cell cycle and the Cytoplasm divides during cytokinesis.
What are the stages of the cell cycle?The cell cycle is known to be made up of 3 main stages. They are;
Interphasemitosis Cytokinesis.In the interphase stage of the cell cycle, the cell often grows and organelles such as mitochondria and ribosomes are known to be formed.
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Help! Pls answer this question.PANICK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
i think x=36
Step-by-step explanation:
3x + 2x = 5x = 180
x = 180÷5 =36
Check the picture below.
hong has been saving $6 each week. Today he spent $90 of the savings, and he now has $48 left. For how many weeks has he been saving? HELP ASAP PLSSS!!
Answer:
he has been saving for 98 weeks
Step-by-step explanation:
well 90 + 48 / 6 = 98
If 6 men can dig 4 ditches in an hour.how many men would be required to dig 6 ditches
Answer:
8 men
Step-by-step explanation:
Translate 1 unit right and 2 units up
Answer:
Step-by-step explanation:
It basically means move from the spot you are at 1 step/square right. Moving up means to go two steps/squares up/forwards.
Let f(x)=−2x+3f(x)=-2x+3. Find each of the following:
f(a)=f(a)=
2f(a)=2f(a)=
f(2a)=f(2a)=
f(a+2)=f(a+2)=
f(a)+f(2)=f(a)+f(2)=
Answer:
1. f(a) = -2a + 3
2. 2f(a) = -4a + 6
3. f(2a) = -4a + 3
4. f(a+2) = -2a - 1
5. f(a) + f(2) = -2a + 2
Step-by-step explanation:
for each one, just plug whatever is inside the parentheses inside the equation as x. For example, f(a) = -2(a) + 3. The a replaces all the x's
Which is NOT an improper fraction that is equal to 8 ????
Answer:
There are many improper fraction equal to eight, they include: 8/1, 16/2, 24/3, 32/4, 40/5, 48/6, 56/7, 64/8, 72/9 etc.When a multiple of eight is divided by the other factor with with when multiplied to eight gives the multiple, the result will be eight
(SHOW UR WORK) 98.73 ÷ 15 = ?
Answer:
3291÷500 or 6.582
Step-by-step explanation:
98.73 divide by 15 = 6.582
The product of 5 and the sum of x+6
The value of y is
one-fourth
the value of x. Why is it addiction
Answer:
Ummm because its not a negative sign in front of it
Step-by-step explanation:
i d k t b h
Use the graph to write a linear function that relates y to x
The volume of a rectangular prism with base area B and height h is Bh. Jayla bought a rabbit cage shaped like a rectangular prism. The area of its base is 12 square feet and it is 2.25 feet high.
Answer:
5.3 repeating
Step-by-step explanation:
The regular price of a shirt is $24.99. This week, the shirt is marked 10%
off. About how much money would you save if you bought the shirt this
week?
Answer:
You would pay $22.49
You would save $2.50
Step-by-step explanation:
Answer:
22.49 dollars
Step-by-step explanation:
….
What is the total surface area of this rectangular prism?
Round your answer to the nearest tenth.
1 mm
1 mm
7 mm
Ray hired a moving company to help him move to a new apartment. The equation below.
represents the relationship between the number of hours it takes to move (x) and the total cost
to move (y).
- 100 = 240x - 2y
What is the cost per hour?
Answer:
$120/hr
Step-by-step explanation:
if x is hours to move and y is total cost, let's rearrange the equation so that it is easier to understand. I'd say isolate y (total cost) and see what it is equal to:
- 100 = 240x - 2y
2y = 240x + 100
y = 120x + 100
What I see is: Total Cost = 240*(Hours to move) + 100
That tells us that each hour is $120. It also discloses that there appears to be an upfront charge of $100, before any work is done( even at 0 hours). [If the movers come to the apartment, but you've changed your mind, then it still costs $100].
It also tells us that the charge per hour is $120. [If I had a pickup, I'd do it for $100/hour, but my tiny Honda Accord trunk barely holds the spare tire.]