Answer:
3.60
Step-by-step explanation:
3c=7m
c=m+12 solve for m
To obtain the value of one unknown quantity linear equation in one variable can be formed. The cost of one mug is given as $21.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
Given that,
The cost of 3 calculators = The cost of 7 mugs.
The cost of each calculator is $12 more than each mug.
Suppose, cost of each mug be x.
And, cost of each calculator is x + 12.
As per the question the following equation can be made,
7 ×(x + 12) = 3x
=> 7x - 3x = 84
=> 4x = 84
=> x = 21.
Hence, the cost for one mug is $21.
To know more about linear equation click on,
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You buy a car in 2017 for $25,000. The value decreases by 16% each year. How much will the car be worth
in 2022? Round your answer to the nearest penny, 2 decimal places.
Answer:
The appropriate answer is "10,455.29856".
Step-by-step explanation:
According to the question,
The time will be:
⇒ t = [tex]2022-2017[/tex]
⇒ = [tex]5[/tex]
On applying formula, we get
⇒ [tex]f(t)=25000(1-.16)^t[/tex]
On substituting the value of "t", we get
⇒ [tex]f(5)=25000(1-.16)^5[/tex]
⇒ [tex]=25000(0.84)^5[/tex]
On solving the power, we get
⇒ [tex]=25000\times 0.4182119424[/tex]
⇒ [tex]=10,455.29856[/tex]
A steel bridge is 1000m lang at 20 degrees celsius. The bridge will expand or contract by .10m when the temperature changes by 1 degree celsius. How long would the bridge be at 24 degrees celsius? *
Answer:
1000.4m
Step-by-step explanation:
Objects usually expand when the temperature is warmer
Each degree celsius higher, the bridge expands by .10m
If the temperature goes from 20 to 24, it increases by 4 degrees which will be 0.4m
1000m+0.4m=1000.4m
True or False: Tamika is having 5 friends over for a birthday party. Each serving of ice cream is of a cup. She would like to double that amount for each serving and have enough ice cream for her and her friends. 4 cups is enough
Answer:
TRUE
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
False
If you have her and 5 friends that is 6 people.
And her doubled serving is 2 cups.
Enough ice cream would be 12 cups
(6 x 2 = 12)
She only has 4 which is not enough ice cream for everyone given these servings.
I hope this helps.
If you have any questions or concerns please comment or message me. :)
a water cooler shaped like a rectangular prism has length of 80 centimeters a width of 40 centimeters and height of 100 centimeters what volume of water is needed to fill the water cooler
[tex]volume = lwh[/tex]
[tex]volume = (80)(40)(100)[/tex]
[tex]volume = 320000 \: {cm}^{3} [/tex]
You need a volume of 320000 cm³ of water to fill the water cooler.
While working at a soup kitchen, Roxanne made a pot of vegetable soup to serve 25 people. She made 10 quarts of soup, and gave each person an equal portion.
How much soup did each person get?
Write your answer as a proper fraction or mixed number.
Answer:
2.5 quarts or 5/2
Step-by-step explanation:
Answer:
2/5 quarts or 0.4 quarts
Step-by-step explanation:
there are 25 persons
she made 10 quarts soup
10 quarts / 25 persons = 2/5 quarts = 0.4 quarts
How many solutions does this equation have?
-7p - 16 = -17p + 8 + 12p
•no solution
•one solution
•infinitely many solutions
Answer:
One solution
Step-by-step explanation:
-7p - 16 = -17p + 8 + 12p
-7p-16=-5p+8
-7p+5p=8+16
-2p=24
p=-12
10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial
Answer:
what is the question? probably describe the polynomial. okay. the polynomial 10v^2 + 50 is a quadratic (it is to the 2nd power) and a binomial (has 2 terms).
Simplify the expression
Answer:
-9.8n + 10.9
Step-by-step explanation:
2.9 + 8 = 10.9
-4n + -5.8n = -9.8n
(1) One apple weighs 75 grams and one orange weighs 40 grams. The weight of x apples and y oranges, is
Answer:
Given,
Weight of each apple =75 gm
Weight of each orange =40 gm
So,
Weight of x apples =75x gm
Weight of y oranges =40y gm
Thus,
Weight of x apples and y oranges =(75x+40y) gm
I hope it's helpful!
use the distributive property to rewrite the algebraic expression below
4 (x + 2)
Your family is on the way to Disneyland! On the freeway you have driven for 120 minutes at a constant speed of 65 miles per hour before you stop for lunch. After lunch you get back on the freeway with a bit of traffic and drive at a constant speed of 40 miles per hour for 30 minutes before stopping for gas. How far did you drive in all? Use a ratio method.
Answer:
150 miles
Step-by-step explanation:
HELP HELP I NEED HELP ASAP
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George's older brother weigh?
write a linear equation of a line that goes through (8,0) and (-6,7)
Answer:
Line equation: y=−0.5x+4
Slope: -0.5
Intercept: 4
Step-by-step explanation:
Having trouble solving this:
Answer:
option c.
1/100
.........................
Answer:
0.01= [tex]\frac{1}{100}[/tex]
Edward wants to take his friends bowling at a bowling alley that charges $5.50 per person for unlimited bowling plus a $3.50 basic lane fee. He doesn´t want to spend more than $44. How many friends can he invite without going over budget?
Answer:
He can invite 7 friends
Step-by-step explanation:
44 divided by 5.50=8 BUT!
remember the lane fee so only 7 friends can come
the point P = (x, -5/7) lies on the unit curcle shown below. What is the value of x in the simplest form?
Answer:
[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]
Step-by-step explanation:
The question has missing details as the unit circle is not shown, However, I'll solve on a general terms.
Given
[tex]P = (x,-\frac{5}{7})[/tex]
Required
Determine the possible value of x
Since point p lies on the unit circle, we'll solve this question using the following unit circle formula:
[tex]x^2 + y^2 = 1[/tex]
Substitute -5/7 for y
[tex]x^2 + (-\frac{5}{7})^2 = 1[/tex]
[tex]x^2 + \frac{25}{49} = 1[/tex]
Collect Like Terms
[tex]x^2 =1- \frac{25}{49}[/tex]
Take LCM
[tex]x^2 =\frac{49 -25}{49}[/tex]
[tex]x^2 =\frac{24}{49}[/tex]
Take the square root of both sides
[tex]x =\± \sqrt{\frac{24}{49}}[/tex]
[tex]x = \±\frac{\sqrt{24}}{7}[/tex]
[tex]x = \±\frac{\sqrt{4*6}}{7}[/tex]
Split
[tex]x = \±\frac{\sqrt{4}*\sqrt{6}}{7}[/tex]
[tex]x =\± \frac{2*\sqrt{6}}{7}[/tex]
[tex]x =\± \frac{2\sqrt{6}}{7}[/tex]
Tito builds a model of the solar system. In his model, the diameter of the sphere representing Jupiter is 7
inches. What is the circumference of a cross section through the center of the model of Jupiter? Use 3.14
for π
Answer:
21.99
Step-by-step explanation:
C = 2 * Pi * (r)
Diameter = 7
Radius = 3.5
Pi
21.99
Solve 2(x - 5) = 6(x - 1)
Answer:
60
Step-by-step explanation:
so first you multiply 2 times 5 =15 and the we do 15 times six which is 90 and then subtract one and keep subtracting util you get to 60
Answer:
x=-1
Step-by-step explanation:
2(x-5)=6(x-1)
2x-10=6x-6
-4x-10=-6
-4x=4
x=-1
BRAINLIEST!!
You survey the students in your class to find out what kinds of movies they
like to watch. The students were given the following choices: Comedy (C),
Horror (H), Drama (D), Action (A), Romance (R).
The following were the results of your survey:
C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R, H, H, H, C, H, A, R, D, D, D, D, H, R
b. What is the relative frequency of the people that chose comedies? Show your calculation.
c. What is the relative frequency of the people that chose horror? Show your calculation.
Answer:
13.33 %
23.33 %
Step-by-step explanation:
Simple probability question.
The relative frequency of people who chose comedies, would be 4/30 => 4/30*100 = 13.33 %
The relative frequency of people that chose horror, would be 7/30 => 7/30*100 = 23.33 %
what is six and eight seven thousandths as a decimal
Answer:
6.087
Step-by-step explanation:
0.000
^ones
^tenths
^hundredths
^thousandths
P = 100 - 20 cos (8πt/3) That's (8 pi t /3) where t is the time (in seconds). What is the period of the model? Discuss what the period represents in the context of this model.
Answer:
The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.
Step-by-step explanation:
Cosine is a trigonometric function and trigonometric functions are characterized by having a periodical behavior. The period is the time needed for the function to cover an angle of [tex]2\pi[/tex] radians. By this approach we find that:
[tex]\frac{8\pi\cdot t}{3} = \frac{2\pi\cdot t}{T}[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]T[/tex] - Period, measured in seconds.
Then, we solve (1) for [tex]T[/tex]:
[tex]\frac{8}{3} = \frac{2\pi}{T}[/tex]
[tex]T = \frac{6\pi}{8}\,s[/tex]
[tex]T = \frac{3\pi}{4}\,s[/tex]
The period of the model is [tex]\frac{3\pi}{4}[/tex] seconds. The period represents the time needed for the function to complete one cycle.
If ADEF = AJKL, DE = 18, EF = 23, DF = 9x - 23, JL = 7x-11, and JK = 3y - 21, find the
values of x and y.
Answer:
x = 6
y = 13
Step-by-step explanation:
since DE and JK are congruent, they are both 18
to find 'y':
3y - 21 = 18
3y = 39
y = 13
DF and JL are diagonals that are congruent so:
9x - 23 = 7x - 11
2x = 12
x = 6
Which is the simplified version of:
7x + 12 + 3x = -6 (x - 7) + 9x
A. 5x = -30
B. 7x = -54
C. 7x = 30
D. 7x = -19
PLEASE DON’T GUESS :(
Will mark brainliest if your rightƪ(˘⌣˘)ʃ
Answer:
The answer is letter D
Step-by-step explanation:
Answer:
7x+3x=10x
-6(x-7)= -6x+42
then 10x+12=-6x+42+9x
10x+12=3x+42
10-3=42_12
7x=30
then the correct answer is C
O
What is the slope of the line passing through the points (4,-2) and (-5, 4)?
-3/2
-2/3
3/2
2/3
Answer:
B.) -⅔
Step-by-step explanation:
Subtract each variable
y¹-y
x¹-x
-2-4 = -6
4-(-5) = 9 -6/9 = -⅔
Two angles of an isosceles triangle are X and (X+10) .find two possible values of X.
Answer:
Step-by-step exp
X+x+(x+10)=180
3x+10=180
3x=180-170
x=56.666666degrees.
Case 2
x+(x+10)+(x+10)=180
3x+20=180
3x=160
X=53.333333
i hope the answer is help ful
When two angles of an isosceles triangle are given in the form of x, then the value of a single angle can have two possible outcomes those are:
X can be [tex]56.66^\circ[/tex]X can be [tex]53.33^\circ[/tex]Given,
Two angles: X and [tex]\rm{X}+10[/tex]
As we know in an Isosceles triangle, the sum of all the angles is equal to[tex]180^\circ[/tex] and any of the two angles can be equal.
There can be two possible outcomes:
Case 1. When the two equal angles are X
[tex]\begin{aligned}\text{X}+\text{X}+(\text{X+10})&=180\\3\text{X}+10&=180\\3\text{X}&=180-10\\\text{X}&=\dfrac{170}{3}\\\text{X}&=56.66^\circ\end{aligned}[/tex]
Case 2: When the two equal angles are [tex]\rm{X}+10[/tex]
[tex]\begin{aligned}\text{X}+(\text{X}+10)+(\text{X}+10)&=180\\3\text{X}+20&=180\\3\text{X}&=180-20\\\text{X}&=\dfrac{160}{3}\\\text{X}&=53.33^\circ\end{aligned}[/tex]
Therefore, the two possible values of X can be [tex]56.66^\circ[/tex] and [tex]53.33^\circ[/tex]
To know more about the angles of the isosceles triangle, refer to the link:
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70√201 please give me your answer
Answer:
992.42
Step-by-step explanation:
please help! I will give brainlist
Answer:
A= Yes, it's the equation
B= it's what the problem equals
Step-by-step explanation:
I think this is right I'm not to sure but I think it is
hope this helps :)
Step-by-step explanation:
the process shown in the picture.
Which of the following is a polynomial?
A. X^4+ x^-4+ 16
B. 1/2+ 2
C. x2-1
D. (x^6- 2)
(x^4 +3)
Write an algebraic expression for three times the quantity q minus eleven
5 circles lie on the same plane.What is the maximum number of intersection points the circles can have?
the answer is 10 pts bc the maximum number of points of intersection when 5 lines are drawn in a plane, as shown, is 10 points.
Answer:20
Step-by-step explanation: The rule you use for the problems is the same you use for finding the sum of patterned numbers: n*(n+1). n is equivalent to the number of circles. Thus, 5 *(5-1)= 5*4=20
Hope it helps!
