Answer:
t=-p/5+20
Step-by-step explanation:
p=100−5t
Swap sides so that all variable terms are on the left hand side.
100−5t=p
Subtract 100 from both sides.
−5t=p−100
Divide both sides by −5.
−5t/5 = p - 100/-5
Dividing by −5 undoes the multiplication by −5.
t = p - 100/-5
Divide p−100 by −5.
t=-p/5+20
Q. Abby lives in a home worth $115,000. She has a mortgage of $98,000. she owes $5,200 on her car that is worth $11,000. she has a credit card balance of $2,300. she also has a checking account with a balance of $900 and $300 in gift cards. What is Abby's net worth?
A. 127,200
B. 105,500
C. 232,700
D. 21,700
At a farmers' market. Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items, while Alice spent $1. Could the girls have bought the same number of loaves of bread and spent the same total amount?
1. Let x represent the number of loaves of bread. Fill in the boxes to write a system of equations for the total amounts spent.
Karen: y = x +
Alice: y = x +
2. What are the slopes of the lines represented by the equations?
3. What are the y-intercepts of the lines represented by the equations?
4. Do the lines intersect?
5. How many solutions are there to this system of equations?
math6. Can Karen and Alice have bought the same number of loaves of bread and spent the same total amount?
Answer:
(1)
Karen: [tex]y = 2x +3[/tex]
Alice: [tex]y = 2x +1[/tex]
(2): Slope is 2
(3) y intercept
[tex]b = 3[/tex] --- For Karen
[tex]b = 1[/tex] --- For Alice
(4) They do not intersect
(5) No solution
(6) No
Step-by-step explanation:
Given
[tex]x = loaves[/tex]
[tex]y = amount[/tex]
Solving (1): Complete the equation.
For Karen:
[tex]m = 2[/tex] --- the rate
[tex]b = 3[/tex] --- additional spendings
For Alice:
[tex]m = 2[/tex] --- the rate
[tex]b = 1[/tex] --- additional spendings
The general equation is;
[tex]y = mx +b[/tex]
For Karen, it becomes
[tex]y = 2x +3[/tex]
For Alice, it is:
[tex]y = 2x +1[/tex]
(2): The slopes.
In (1), we have:
[tex]m = 2[/tex] --- the rate (for both Karen and Alice).
This rate implies the slope.
Hence, the slope is 2
(3): The y intercept.
The additional spendings in (1) means the y intercept.
So, we have:
[tex]b = 3[/tex] --- For Karen
[tex]b = 1[/tex] --- For Alice
(4) Because they have the same slope, they do not intersect
(5) Number of solutions.
[tex]y = 2x +3[/tex]
[tex]y = 2x +1[/tex]
Subtract both equations
[tex]y-y = 2x-2x +3-1[/tex]
[tex]0 = 2[/tex]
This means there is no solution
(6) Can they spend the same amount on the same number of loaves
In (5), the equations have no solution
Hence, it is not possible to spend the same amount for the same number of loaves
Two angles of a triangle have measures of 55° and 65°.
Which could not be a measure of an exterior angle of the
triangle?
A. 120
B.125
C.130
D.115
Answer:
C
Step-by-step explanation:
an exterior angle is supplementary to the adjacent interior angle.
So 180 - 55 = 125
180 - 65 = 115
The third angle of your triangle is 180 - 55 - 65 = 60
180 - 60 = 120
C is the only value that cannot be the measure of an exterior angle.
someone know which company a or b has a greater percent per window???
Answer:
b
Step-by-step explanation:
rate of change in a 25
"" in b is 40
Please only answer if you know the answer.
What does FOIL Stand for when multiplying polynomial.
Answer:
F=First
O=Outer
I=Inner
L=Last
Answer:
F = First,
O = Outer,
I = Inner,
L = Last
Step-by-step explanation:
Is there enough information shown on the triangles to say that the
two triangles are congruent?
(A) No. All three angles must be congruent to one another or the
two triangles aren't congruent.
(B) No. The corresponding angles aren't congruent, which means
that the triangles aren't congruent.
(C) Yes. All pairs of corresponding angles are congruent; therefore,
the two triangles are congruent.
(D) No. The corresponding pairs of sides must also be marked
congruent to determine that the triangles are congruent.
Answer: (D) No. The corresponding pairs of sides must also be marked congruent to determine that the triangles are congruent.
==================================================
Explanation:
The arc markings tell us how the angles pair up, and which pairs are congruent. Eg: The double-arc angles are the same measure.
Despite knowing that all three pairs of angles are congruent, we don't have enough information to conclude the triangles are congruent overall. We can say they are similar triangles (due to the AA similarity theorem), but we can't say they are congruent or not. We would need to know if at least one pair of sides were congruent, so that we could prove the triangles congruent.
The list of congruent theorems is
SSSASAAAS (or SAA)SASHLLLMuch of these involve an "S", to indicate "side" (more specifically "pair of sides). Both HL and LL involve sides as well. They are special theorems dealing with right triangles only.
------------
So in short, we don't have enough info. We would have to know information about the sides. This is why choice D is the answer.
Answer this pleaseee
Answer:
do i need to answer them all
Step-by-step explanation:
10 points
Howie planted a tree in his front yard three months, one week, and two days ago. If today is May 15th, what day did Howie plant the tree in his yard? A. February 6 B. February 15 C. August 15 D. August 24
Answer:
February 6th
Step-by-step explanation:
3 months before may 15 is February 15. Subtract 9 from 15 (1 week and 2 days) and you get 6 which leads you to your answer.
Answer:
FEB 16
Step-by-step explanation:
Find an equivalent expression using the Distributive Property. 0.25(8r−4m)
Answer:
2r-m
Step-by-step explanation:
0.25(8r - 4m)= multiply the parentheses by o.25 then calculate 0.25x8r- 0.25x4m
counting numbers greater than 110
Answer:
x>110; 111. 112 , 113, 114, 115, ...
Step-by-step explanation:
Write as a single log:
2ln x + 2ln 4
Answer:
2ln 4x or ln (4x)²Step-by-step explanation:
Use properties:
log a + log b = log abn log a = log aⁿSimplify:
2ln x + 2ln 4 = 2(ln x + ln 4) =2ln 4x = ln (4x)²Which is smaller 7/8 or 3/4
Answer:
3/4
Step-by-step explanation:
3/4 is equal to 6/8, and 6/8 is smaller than 7/8
Answer:
7/8
Step-by-step explanation:
3/4 is equal to 6/8 wich is smaller than 7/8.
What is the tan A?
No random answers pls
Answer:
I think its 3/4.
Step-by-step explanation:
Express Tan x as function of sin only
Answer:
Tan x = sin x / √[1 - sin²θ]
Step-by-step explanation:
We know that;
Tanx = Sinx / cosx
Squaring both side
Tan²x = Sin²x / cos²x
[cos²θ = 1 - sin²θ]
So,
Tan²x = Sin²x / [1 - sin²θ]
Taking root both side
Tan x = sin x / √[1 - sin²θ]
A website sells custom messenger bags in 5 sizes. For each size, there are 52 color/fabric combinations. Any of these 52 can be chosen for the left, center, and right panel. In addition, there are 18 different choices of binding color, 26 choices of logo color, 12 choices of liner color, and 49 choices of strap pad color. There are 2 choices for the interior style. The bag can be right- or left-handed. It can be ordered with or without a grab strap, a chiller insert, a camera insert, and a water bottle pocket. How many different bags are possible?
Answer:
1.238 * 10^13
Step-by-step explanation:
Number of sizes = 5
Color combination per size = 52
Panel option for each combination = 3
Binding color = 18 choices
Logo color = 26 choices
Liner color = 12 choices
Strap pad color = 49 choices
Interior style = 2 choices
Right or led handed = 2 choices
Chiller or not = 2 choices
Grab strap or not = 2 choices
Camera insert or not = 2 choices
Water bottle pocket or not = 2 choices
(5 x 52^3 * 18 * 26 * 12 * 49 * 2^6)
= 12381782999040
= 1.238 * 10^13 choices
What is the value of x?
Answer:
98%
Step-by-step explanation:
Find slope of the line if it is defined through (5,10) and (5,-6)
Answer:
Undefined
Step-by-step explanation:
The slope is undefined as both points have the same x value.
Answer:
Undefined
Step-by-step explanation:
5 , 10
5 +0 = 5 <-- 5 , -6 <-- 10 - 16 = -6
m = [tex]\frac{y}{x}[/tex]
m = [tex]\frac{-16}{0}[/tex] <-- Doesn't sense. So the slope will be undefined
Jason planted 11 packs of seed in his 4 gardens. he Planted the same amount of seed in each garden. how many packs of Seed Were planted in each were planted in each garden?
2.75 packs
Step-by-step explanation:
11 packs ÷4 gardens =2.75 packs per garden
seventy-eight times n is at least 312. write your solution in interval notation
What is the solution of the equation below?
− 34.1 = 44.5
Group of answer choices
m = 10.4
m = 14.4
m = 70.6
m = 78.6
Answer:
Add 34.1 to both sides of the equation and get m=78.6
Hurry pls
10pts
Tell whether the slope of the line
Answer: negative A.
Step-by-step explanation:
the slope of the line is going down so its negative. hope it helps!
A thrift store owner claims that 65% of the clothes in stock are brand new and have never been worn. To verify this claim, a shopper inspects 75 articles of clothing in the store. Only 45 (60%) of these articles are brand new. If 65% of all articles in this thrift shop really are brand new, what is the probability of obtaining an SRS of 75 articles of clothing in which 60% or less are brand new
Answer: B- 0.18. Because the probability is not very small, it is plausible that the 65% claim of the owner is correct.
Step-by-step explanation:
solve each proportion
Answer: x=8
Step-by-step explanation: 2x+5 /10 = 42 /20
(2x+5)(20)=(42)(10)
40x+100−100=420−100
40x /40 = 320 /40
x=8
I WILL MARK BRINLIEST
Harbor Bike Shop has 35 bicycles and tricycles with a total of 81 wheels. How many bicycles and how many tricycles are in the shop?
a
22 bikes and 11 tricycles
b
20 bikes and 7 tricycles
c
26 bikes and 13 tricycles
d
22 bikes and 13 tricycles
e
11 bikes and 22 tricycles
f
24 bikes and 11 tricycles
Answer:
f
bicycle 24 x2= 48
tricycle 11 x3= 33
48+33=81
Step-by-step explanation:
Express 13/3 as mixed fraction
Answer:
4*1/3
Step-by-step explanation:
easy we know for each 3/3 == 1
so:
3*4 == 12
1/3 is left over so,
4*1/3
Answer:
the answer is 4 1/3, i recommend using the app mathaway
Explain how to find the mean of a data set
Answer:
First, add the numbers in the data set. Then, divide the sum by the number of numbers. The quotient is the mean.
I hope this helps!
x is a positive integer.
33 + x is a positive integer.
Work out the four possible values of X,.
Answer:
Step-by-step explanation:
An integer is a number without decimal part i.e a whole number. Since x is a positive integer, it could be replaced by any positive integer. So that 33 + x would also be a positive integer.
Four possible values of x are:
i. Let x = 10, then;
33 + x = 33 + 10
= 43
ii. Let x = 2, then;
33 + x = 33 + 2
= 35
iii. Let x = 25, then;
33 + x = 33 + 25
= 58
iv. Let x = 30, then;
33 + x = 33 + 30
= 63
Ashley saves $32 from her weekly paycheck for her college education. This is 1/5 of her weekly salary. Write an equation to find out how much does she earn each week?
Answer: 32 divided by 1/5
Step-by-step explanation:
.2 = 1/5
32/.2 = 160
160 x .2 = 32
Please help with this question
Answer:
[tex]9\frac{6}{12}[/tex]
Step-by-step explanation:
[tex]6\frac{2}{6} \cdot 1\frac{1}{2} = \frac{38}{6} \cdot \frac{3}{2} = \frac{114}{12}=9\frac{1}{2}[/tex], which is also equal to [tex]9\frac{6}{12}[/tex].
Triangle ABC is shown below.
What is the cosine of angle B?
The cosine of angle ∠B will be 3 / 5. Then the correct option is C.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.
cos θ = base / hypotenuse
Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.
Then the cosine of the angle ∠B will be given as,
cos θ = base / hypotenuse
cos B = 3 / 5
The cosine of angle ∠B will be 3 / 5. Then the correct option is C.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
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