Joshua deposited
(a). $12.85 in coins
(b). $77.14 in checks
Linear equation in one variable?
The linear equation in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
Joshua deposited checks worth six times the value of the coins he deposited.
Let Joshua deposit the value of coins be x. Then the value of x will be 6x
There is total deposit of $90.
⇒ x + 6x = 90
⇒ 7x = 90
⇒ [tex]x = \frac{90}{7}[/tex] =$12.85
Therefore,
[tex]6x = \frac{90(6)}{7} =\frac{540}{7}[/tex] = $77.14
Hence, he deposit total $12.85 in coins and $77.14 in checks.
Learn more about linear equation here:
https://brainly.com/question/11897796
#SPJ2
how do you solve the equation 8-5w= -37
Answer:
w=25/4=6.50
Step-by-step explanation:
in 2015, Oklahoma experienced 907 perceptible earthquakes (far surpassing California), for an average of about 2.5 perceptible earthquakes per day. Consider perceptible earthquakes that occur independently with a constant daily rate of 2.5 What is the probability that a given day would have 1 perceptible earthquake?
What is the answer to 245 = 125 +15w
w=
Answer:
245-125=15w
120=15w
120÷15=w
w=8
There are two whole numbers which whe
multiplied by itself gives the same number. Wh
are they
8. A taxi driver filled his petrol tank with 40 litres
petrol on one day and 45 litres of petrol on the
next day. If the cost of petrol is * 54 per litre,
the amount spent on petrol in these two days
9. A dairy supplies 40 litres of milk in the morn
and 50 litres of milk in the evening. If the
of milk ist 24 per litre, find the total sa
rupees.
8)
Petrol filled on Monday = 40 liters
Petrol filled on next day = 50liters
Total petrol filled = 90liters
Now, Cost of 1 liter petrol = Rs. 44
Cost of 90 liters petrol = 44 x90
= 44 x (100 – 10)
= 44 x 100 – 44 x10
= 4400 – 440
= Rs. 3960
Therefore, he spent Rs. 3960 on petrol.9
9)
Milk supplied in morning =40 liters
Milk supplied in evening =50 liters
Total milk supplied in one day = 90 liters
Cost of 1 litre milk =24 rupees
Cost of 90 liters milk=24 ×90
=2,160 ruees.
HOPE IT WILL HELP YOU.
PLEASE MARK IT AS BRILLIANT ANSWER.
Junior Achievement USA and the Allstate Foundation surveyed teenagers aged 14 to 18 and asked at what age they think they will become financially independent. The responses of 944 teenagers who answered this survey question as follows:
Age Financially Independent Number of Responses
16 to 20 151
21 to 24 487
25 to 27 244
28 or older 62
Consider the experiment of randomly selecting a teenager from the population of teenagers aged to 14 to 18.
Required:
a. Compute the probability of being financially independent for each of the four age categories.
b. What is the probability of being financially independent before the age of 25?
c. What is the probability of being financially independent after the age of 24?
Answer:
(a) Shown below
(b) 0.68
(c) 0.32
Step-by-step explanation:
The frequency distribution is:
Age Group Financially Independent Number of Responses
16 to 20 151
21 to 24 487
25 to 27 244
28 or older 62
Total 944
(a)
Compute the probability of being financially independent for each of the four age categories as follows:
[tex]P(\text{16 to 20})=\frac{151}{944}=0.159958\approx 0.16\\\\P(\text{21 to 24})=\frac{487}{944}=0.515890\approx 0.52\\\\P(\text{25 to 27})=\frac{244}{944}=0.258475\approx 0.26\\\\P(\text{28 or older})=\frac{62}{944}=0.065678\approx 0.06[/tex]
(b)
Compute the probability of being financially independent before the age of 25 as follows:
P (Financially Independent before 25) = P (16 to 20) + P (21 to 24)
= 0.16 + 0.52
= 0.68
Thus, the probability of being financially independent before the age of 25 is 0.68
(c)
Compute the probability of being financially independent after the age of 24 as follows:
P (Financially Independent after 24) = P (25 to 27) + P (28 or older)
= 0.26 + 0.06
= 0.32
Thus, the probability of being financially independent after the age of 24 is 0.32.
Provide steps to the equation. :)
Answer:
C. 90°Step-by-step explanation:
Angle ABC is the sum of angles ABD and DBC as per angle addition postulate
As per given we have isosceles triangles ABD and BCD
ADC is straight angle, therefore:
2x + x = 180°3x = 180°x = 60°Triangle ABD∠BAD = ∠ABD = 1/2(180° - 2x) = 1/2(180° - 120°) = 1/2(60°) = 30°Triangle BCD∠BDC =∠ BCD = x = 60°∠DBC = 180° - 2*60° = 180° - 120° = 60°So the angle ABC∠ABC = ∠ABD + ∠DBC∠ABC = 30° + 60° = 90°convert a repeating decimal to a fraction
Answer:
Step-by-step explanation:
Convert a Repeating Decimal to a Fraction
Create an equation such that x equals the decimal number.
Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.
Subtract the second equation from the first equation.
Solve for x.
Reduce the fraction.
Answer:
2/3 = 0.66 repeated
Step-by-step explanation:
Casey buys a bracelet. She pays for the bracelet and pays $0.72 sales tax. The sales tax rate is 6%, percent.
What is the original price of the bracelet, before tax?
Answer:
12$
Step-by-step explanation: 100/6 then multiply it by .72=12$
Answer
$12
Step-by-step explanation:
theres a picture on how I did it that I linked.
answerrr pleaseeeeeeeeeeeee
Jenn swam ⅕ mile in ¼ hour. What is her unit rate in miles per hour?
Answer:
1/2 mile/1/5 hour = 5/2 mph = 2 1/2 mph
Step-by-step explanation:
Answer:
0.80mph
Step-by-step explanation:
If 1/5 = 1/4, then:
she swims 1/5 miles for every 1/4 (fourth) of an hour
per hour means 1 hour
we must covert 1/4 to 4/4 (one mile)
1/4 × 4/1 = 4/4
if we multiply by 4/1 to get to 4/4, then we must also multiply by 4/1 for 1/5 miles
1/5 × 4/1 = 4/5
Her unit rate in miles per hour is 4/5 per 1 miles, or 0.80mph
*0.80 = 4/5 because 4 × 20 = 80 and 5 × 20 = 100; 80/100 = 0.80*
The Indian Ocean covers 2.808 x 10^7 square miles. Colorado covers 1.04 x 10^5 square miles. How many times bigger than Colorado is the Indian Ocean?
Approximately 2.7 times bigger
Approximately 27 times bigger
Approximately 270 times bigger
Approximately 27000 bigger
Answer:
Approximately 27 times bigger
Step-by-step explanation:
8 vanilla cones, 15 strawberry cones, and 25 chocolate cones in one evening. What percent of the cones sold were strawberry?
Answer:
33 1/3%
Step-by-step explanation:
01:37:35
What is the difference between the largest prime number less than 50 and the smallest composite number greater than 10
Answer:
35
Step-by-step explanation:
47-12=35
Use the Distributive Property to write an expression equivalent to 5 x (3 + 4)
Answer:
15 + 20
Step-by-step explanation:
Step 1: Write expression
5 × (3 + 4)
Step 2: Distribute 5 to each term
5(3) + 5(4)
Step 3: Simplify
15 + 20
Write an equation for the line that goes through the point (7,1) and has a slope of -1
Answer: y = -x + 8
Step-by-step explanation:
Use the slope given and Substitute the y and x-values from the given coordinate into the equation and solve for b
y = mx + b
1 = -1(7) + b
1 = -7 + b
8 = b
Rewrite the equation without the y and x values, substitute the value of b
y = -x + 8
(1 disappears, as 1 is implied in multiplication but keep the negative sign)
find the equation of the linear function represented by the table below in slope-intercept form. picture of table is below
Answer:
y = 3x + 2
Step-by-step explanation:
First you want to know what the slope intercept form is. y = mx + b. Now take two points from the table and put them in the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] and get the slope of 3. Now we have y = 3x + b. To find b we need to plug in any point into the equation. I chose (-1, -1). -1 = 3(-1). Solve and you get 2. Now we are left with y = 3x + 2
The equation of the line is given by: [tex]y = 3x + 2[/tex]
----------------------------
The equation of a line, in slope-intercept formula, has the following format:
[tex]y = mx + b[/tex]
In which
m is the slope, that is, how much y changes when x changes by 1.b is the y-intercept, that is, the value of y when x = 0.----------------------------
Given two points (x,y), the slope is the change in y divided by the change in x.We have points (-1, -1) and (3,11). Thus:[tex]m = \frac{11 - (-1)}{3 - (-1)} = \frac{12}{4} = 3[/tex]
Then
[tex]y = 3x + b[/tex]
----------------------------
Point (-1,-1) means that when [tex]x = -1, y = -1[/tex], and we use this to find b.
[tex]y = 3x + b[/tex]
[tex]-1 = 3(-1) + b[/tex]
[tex]b = -1 + 3 = 2[/tex]
Thus
[tex]y = 3x + 2[/tex]
A similar problem is given at https://brainly.com/question/13251894
Vertical Angles: Vertical angles are angles that are opposite of each other when two straight lines cross. In
the diagram in #5, ZGEF and ZMEH are a pair of vertical angles while ZFEM and ZHEG are also.
(a) Given the results of your calculations in #5, what can you say about the measure of vertical angles?
(b) Why do you think this occurs?
9514 1404 393
Answer:
vertical angles are congruentboth are supplementary to the same angleStep-by-step explanation:
Given the results of #5 are ...
∠GEF = 120, 150, 155, 135
∠FEM = 60, 30, 25, 45
∠MEH = 120, 150, 155, 135
∠HEG = 60, 30, 25, 45
__
(a) We can see that vertical angles are congruent.
(b) Each of a pair of vertical angles is supplementary to the same angle.
∠GEF and ∠MEH are both supplementary to ∠FEM and to ∠HEG
∠FEM and ∠HEG are both supplementary to ∠GEF and to ∠MEH
A rectangle has length 4 yards more than its width. The area of the rectangle is 96 square yards. Find the
length and the width.
Answer:
Length = 12
Width = 8
Step-by-step explanation:
Area of a Rectangle = l x w
12 x 8 = 96
At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 8 and children are seated at tables of exactly 18. What is the minimum number of children attending?
Answer:
LCD=72, but technically 0 because who said any kids were attending
Step-by-step explanation:
You are finding the Least common denominator I assume,
So, keep multiplying 18 by a number until you can find 8 multipled by a different number that matches the answer
18*4=72
8*9=72, hurray you done did it
The minimum number of children attending the dinner party will be 72.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
At a dinner party with an equal number of adults and children, adults are seated at tables of exactly 8, and children are seated at tables of exactly 18.
Let 'x' and 'y' be the number of tables for adults and children. Then we have
8x = 18y
x / y = 18 / 8
x / y = 9 / 4
The minimum number of children attending the dinner party will be given as,
⇒ 4 x 18
⇒ 72
The minimum number of children attending the dinner party will be 72.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
BRAINLIEST TO FIRST ONE THATS CORRECT ANSWER!!
Find the area of the patio
15,077,500
Area= W * H
In this case area would be 1850 * 8150 which equals 15,077,500
A rectangular kitchen is 11 ft by 17 ft. How many square tiles, each with a perimeter 24 inches, are needed to cover the floor?
Answer:
7.7916
Step-by-step explanation:
Multiply 11 by 17 which equals 187,
do 187 / 24 which equals 7.7916 tiles.
Hope this helps!
Which number is the coefficient in the following equation
300x + 45 = 760
Answer:
300
Step-by-step explanation:
The number that is the coefficient in the equation 300x + 45 = 760 is 300
How to determine the coefficient?The equation is given as:
300x + 45 = 760
Consider the following expression:
bx + a
b in bx represents the coefficient, x represents the variable, and a represents a term
Using the above as a guide in 300x + 45 = 760;
The coefficient in the equation 300x + 45 = 760 is 300
Read more about coefficient at:
https://brainly.com/question/2972832
#SPJ9
What is the least common denominator for 1/2 & 2/3 ?
Answer: 6
Step-by-step explanation:
1/2 = 3/6
2/3 = 4/6
Please help!!
If KL NM and KN ≈ KM, find NM and mMKN.
A. NM = 6; mK=70°
B. NM = 9; mK=35°
C. NM = 12; mK=55
D. NM = 12; mK=70
Answer:
It's D. NM = 12; mK=70
Step-by-step explanation:
i just did it on edge but this for people who need it now. bc it's been a year 4 u.
Multiply each pair of factors. Type the product in
the space provided
(6 + 3)(6 - 31)
(4-57)(4+ 5) -
(-387)(-3 - 81) -
Answer:
I hope this help
The answer is 24
Answer:
45. Second part is -36 then -4+28i
41
72
Step-by-step explanation:
Just did on edg 2021
(4x3) x 6= (2x3) x is what
Answer:
4 x 3 = 12 x 6 = 72
2 x 3 = 6 x 12 = 72
x = 12
Step-by-step explanation:
The answer is at the top
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is t = 1/500d. How long will it take the airplane to travel 800 miles? 400 miles? 200 miles?
please refer to this...............
y = −x2 − 8x − 15 vertex
Answer: The vertex is (-4,1)
Explanation: I used -b/2a to find the x, then plugged in -4 to find the y, which is 1.
A truck driver earns $51.20 driving an 80-mile route. The driver’s next route is 120 miles long and is billed at the same rate.
How much does the driver earn on this next route?
Answer:
$76.80
Step-by-step explanation:
120/80 equals how many times the next route is larger than the first one. Which is 1.5 times larger.
Take the first earning of 51.20 and multiply by 1.5 to get 76.80
120/80=1.5
51.20*1.5=76.8
On the next route the truck driver earns $76.80.
Answer:
The truck driver will be making $76.80 on his next route.
Step-by-step explanation:
First, you calculate the amount of money he makes per mile by dividing $51.20 by 80 miles. Then you take that pay rate, and multiply by 120 miles.
The area of a square is 36 square inches. What is the perimeter of half the square?
The formula for the perimeter of a square is P = 4s, where s is the length of one of the four (4) congruent sides of the square.
The formula for the area of a square is A = s², and we're given that the area of a square, whose perimeter we're trying to find, is 36 sq. units; therefore, we have:
A = s²
36 sq. units = s²
√(36 sq. units) = √s²
6 units = s (Note: We used the positive square root (6) rather than the negative square root (-6) since you physically can't have a negative length!)
Therefore, ...
P = 4s
P = 4(6 units)
P = 24 units is the perimeter of a square whose area is 36 square units