Answer:
24
Step-by-step explanation:
We can deduce that Jada's current age from her babysitter's age is 6 years.
Word problems in algebra?Word problems in algebra involve our ability to discern abstract concepts and define variables that can be used to solve them algebraically. We do so by writing out an equation using variables and solving the equation.
From the given problem;
If Jada's current age = xThen Jada Babysitter = 4xSo, x + 4x = 1
In five years' time;
Jada Babysitter's age = 5(4x)Jada current age [tex]\mathbf{=\dfrac{5(4x)}{2}}[/tex]So, we can have the equation:
[tex]\mathbf{\rightarrow \ 5(4x) + \dfrac{5(4x)}{2} = 5}[/tex]
20x + 10x = 5
30x = 5
x = 0.6
Therefore, Jada's current age is [tex]\mathbf{=\dfrac{5(4(0.6))}{2} = 6 years }[/tex]
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Scott's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls that
have a radius of 6 in. If copper costs $0.75 per in, how much will the copper cost to make one ball?
Use 3.14 for I, and do not round your answer.
7/3 =q+2/3 what is q?
Answer: q=5/3
Step-by-step explanation:
Let's take our equation
7/3=q+2/3
-2/3 -2/3
5/3=q
q=5/3
Answer: q = 5/3
Step-by-step explanation: Step 1: Flip the equation.
q + 2/3 = 7/3
Step 2: Subtract 2/3 from both sides.
q + 2/3 - 2/3 = 7/3 - 2/3
Find all solutions to the equations:
y^2=14y-24
x^4-81=0
Answer:
y2=14y-24
y2-14y+24=0
y2-2y-12y+24=0
yx(y-2)-12(y-2)=0
(y-2)x(y-12)=0
y-2=0
y-12=0
y=2
y=12
y1=2,y2=12
x4-81=0
x4=81
x=+3
x=-3
x=3
x1=-3.x=3
what is 2/3(9+x)=-5(4-x)
Answer:
x=78
Step-by-step explanation:
2/3(9+x)=-5(4-x)
6+2/3=-20+x
6=-20+1/3x
x=78
Answer:
x=6
Step-by-step explanation:
Distribute.
2/3 * 9 = 6
2/3 * x = 2/3x
Distribute other side.
-5*4 = -20
-5 * -x = 5x
Rewrite.
6 + 2/3x = -20 + 5x
Subtract 5x from both sides.
-13/3x + 6 = -20
Subtract 6 from both sides.
-13/3x = -26
Multiply -3/13 to both sides.
x=6
find the measure of angle P
Answer:
i dont see the picture clearly
Step-by-step explanation:
Which of the points labeled shows the solution to the system of equations? (A, B, C, D, or E)
Answer:
E
Step-by-step explanation:
When is comes to a system of equations, the point where the lines intercept is the answer.
Someone help I don’t understand
Answer:
2052
Step-by-step explanation:
19 times 18=342
342 times 6=2052
How many pints are in 6.5 gallons?
Answer:
52 pints in 6.5 gallons.
Step-by-step explanation:
6.5 *8= 52
Answer:
52 pints
Step-by-step explanation:
6.5 * 8 = 52
(*8 because there are 8 pints in a gallon)
In ΔVWX, w = 680 cm, ∠X=80° and ∠V=32°. Find the area of ΔVWX, to the nearest 10th of a square centimeter
Answer:
56
Step-by-step explanation:
Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
The area of the triangle.
= 1/2 x base x height
The area of the triangle is 105760 cm².
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
In ΔVWX.
w = 680 cm
∠X=80°
∠V=32°
This means,
∠W + ∠X + ∠V = 180
∠W = 180 - 112
∠W = 68°
This means,
68° = 680
1° = 10
Now,
∠X=80°
x = 800 cm
∠V=32°
v = 320 cm
Now,
V
/ | \
(x) / | \ (w)
/ | \
W M X
(v)
680² = VM² + (320/2)²
462400 = VM² + 25600
VM² = 436800
VM = 661 cm
Thus,
The area of the triangle.
= 1/2 x base x height
= 1/2 x 320 x 661
= 160 x 661
= 105760 cm²
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Solve for x.
4x - 6 = 30
Answer:
x = 9
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
The solution to the equation 4x - 6 = 30 is x = 9.
What is the solution to the equation?Given the equation in the question:
4x - 6 = 30
To solve the equation 4x - 6 = 30, first, isolate the term with the variable:
4x - 6 = 30
Add 6 to both sides of the equation to isolate the term with the variable:
4x - 6 + 6 = 30 + 6
Add -6 and 6
4x + 0 = 30 + 6
4x = 30 + 6
Add 30 and 6
4x = 36
Divide both sides of the equation by 4 to solve for x:
(4x)/4 = 36/4
x = 36/4
x = 9
Therefore, the value of x is 9.
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how many different ways can you find for 7 coins totaling 95 cents?
Answer:
one way
Step-by-step explanation:
2 quarters
4 dimes
1 nickel
Simplify the following fraction: 6/9
A group of friends really love to go bowling together. Here are a set of final scores from a recent bowling trip: 147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110 What is the median
Answer:
110
Step-by-step explanation:
The first step is to rearrange the number from smallest to the biggest
62, 76, 80, 83, 90, 110, 110, 121, 147, 160, 164
Median is described as the middle number
Hence the median is 110
please help MATHEMATICS
Answer:
area is 26.75 units^2
Step-by-step explanation:
Top Triangle area is (3.5*9)/2=15.75
Square area is 2*2=4
Left bottom triangle is (2*2)/2=2
bottom right triangle is (2*5)/2=5
15.75+4+2+5=26.75
PLEASE!! trigonometry
A= 61 degrees a=5 cm b=12 cm
Answer:
problem is undefined meaning there is no triangle
A small liberal arts college in the Northeast has 350freshmen. One hundred five of the freshmen are female. Suppose sixty freshmen are randomly selected (without replacement).Step 2 of 2:Find the standard deviation of the number of females in the sample. Round your answer to two decimal places, if necessary.
Answer:
The standard deviation of the number of females in the sample is 3.21.
Step-by-step explanation:
For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.
Standard deviation of the hypergeometric distribution:
We have that:
N is the population size.
n is the sample size.
s is the number of successes in the sample.
The standard deviation is given by:
[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]
A small liberal arts college in the Northeast has 350freshmen.
This means that [tex]N = 350[/tex]
One hundred five of the freshmen are female.
This means that [tex]s = 105[/tex]
Suppose sixty freshmen are randomly selected
This means that [tex]n = 60[/tex]
Find the standard deviation of the number of females in the sample.
[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]
The standard deviation of the number of females in the sample is 3.21.
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Tutoring ABC charges $50 sign up fee plus $12 an hour . HW helps charge a $38 sign up fee plus $15 an hour . After how many hours will the total for each company be the same
Answer:
Step-by-step explanation:
Tutoring ABC - $50 sign up and $12 an hour
HW helps- $38 sign up and $15 an hour
50 38
+12 +15
62 53
+12 +15
74 68 Four months
+12 + 15
86 83
+12 +15
98 98
What is the inverse operation needed to isolate the variable 4 = p - 8
Answer:
To do this you need to add both sides by 8. yw
Step-by-step explanation:
6) The Delphi method used for forecasting: A) uses a single measure that weights multiple indicators and provides a measure of overall expectation. B) obtains forecasts through a comparative analysis with a previous situation. C) uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires. D) uses measures that are believed to influence the behavior of a variable that the researcher wishes to forecast.
Answer:
C) uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Systematic sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Opportunity or convenience sampling.
The Delphi method is a structured communication framework or technique that is typically used as an interactive forecasting method to arrive at a group decision or opinion by relying on the feedback from a panel of experts. The individual opinions of the panel of experts are modified to ensure anonymity and are mainly an unbiased exchange of ideas, so as to produce a convergence of opinions.
Hence, the Delphi method used for forecasting uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.
does this graph show a function? explain how you know.
A baker is experimenting with a new brand of yeast. He bakes his first batch of bread using the old brand of yeast that he usually uses and a second batch using the new brand of yeast. After baking both batches of bread, he compares the height, texture, and taste of each batch.
Answer:
control group: second batch
explanatory variable: new brand of yeast
response variable: height, texture, and taste
Step-by-step explanation:
Answer:
Explanatory variable = new brand of yeast
Response variable = height, texture, and taste
Control group = first batch
**See screenshot of graded answer
PLSS HELP THIS IS DUE TODAY
Answer:[tex]\frac{1}{42}[/tex]
Step-by-step explanation:
1 out of 7 times 1 out of 6
[tex]\frac{1}{7} *\frac{1}{6} = \frac{1}{42}[/tex]
The length of a rectangle is 2 units more than the width. The area of the rectangle is
35 units. What is the width, in units, of the rectangle?
if there are only 2 of a particular stamp remaining out of 5000 originally printed, what percent remains today?
Answer:
0.04%
Step-by-step explanation:
To find a percentage, we want to create a ratio of a portion by the total.
Our portion is 2.
Our total is 5000.
Let's create the ratio by dividing the numbers.
2/5000
Divide.
= 0.0004
Multiply this by 100 to find the percentage.
0.04%
This is your answer.
Check your answer by plugging it into a percentage equation.
0.04/100 of 5000 = 2
0.0004 • 50000 = 2
2 = 2
Your answer is correct.
Hope this helps!
In a major city is 7% find the total cost including the tax change on a purchase of $400 the total cost including sales tax is how much money
Answer:
$428, with the sales tax being $28.
Step-by-step explanation:
400 x 7/100 = 28
400+28=428
Enter an algebraic expression for the word expression.
The quotient of -5 and y
The expression is
9514 1404 393
Answer:
-5/y
Step-by-step explanation:
The wording "the quotient of A and B" is used to signify A/B.
Here, we want the quotient of -5 and y:
-5/y
What value of k makes the equation below true 33k=1,716
Answer:
Given:
33k=1,716
k=1716/33
k=52
Don't we just love geometry! Speaking of that, I need some help!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
23.3 milesStep-by-step explanation:
Use the law of sines:
a / sin A = b / sin B = c / sin CApply to the given triangle:
AC / sin 39 = 32 / sin 60AC / 0.629 = 32 / 0.866AC = 0.6293*32/0.866AC = 23.3 (rounded)5th grade math. Correct answer will be marked brainliest.