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(Angles A and B are equal, and all 3 angles add up to 180.)
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Baseball cards come in packages of 8 and 12. Brighton bought some of each type for a total of 72 baseball cards. How many of each package did he buy?
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3 x 8 = 24
4 x 12 = 48
24 + 48 = 72
Determine the x- and y-intercepts of the graph of y=1/4x−2 .
Then plot the intercepts to graph the equation.
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0=1/4x-2
2=1/4x
8=x
The x-intercept is 8. The point is (8, 0).
To find the y-intercept, put in 0 for the x.
y=1/4(0)-2
y=0-2
y=-2
The y-intercept is -2. The point is (0, -2).
To graph, find the points on a coordinate plane and draw a straight line through them.
Hope this helps!
The x- and y-intercepts are (8, 0) and (0, -2), respectively. and the graph is attached
Graphing the function using the x- and y-interceptsFrom the question, we have the following parameters that can be used in our computation:
y = 1/4x - 2
To find the x-intercept, set y to 0 and solve for x:
0 = 1/4x -2
1/4x = 2
x = 8
So the x-intercept is (8, 0).
To find the y-intercept, set x to 0 and solve for y:
y = 1/4 * 0 - 2
y = -2
So the y-intercept is (0, -2).
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Four people share 2/3 pound of peanuts. What fraction of a pound of peanuts does each person receive?
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2/3(1/4)
2/12= 1/6
Each person receive 1/6 pound of peanuts.
Hope this helps!
Jared used 1 2/5 bags of soil for his garden. He is digging another garden that will need 1/5 as much soil as the original. How much will he use total?
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Now we add 1 2/5 + 1 2/25 = 2 12/25
Now add 1 2/5 + 2 12/25 = 3 (22/25)
Answer:
[tex]1\frac{17}{25} \\[/tex] bags
Step-by-step explanation:
Number of bags used by Jared for his garden
[tex]= 1\frac{2}{5} \\= \frac{7}{5}\\[/tex]-------------------------- Eq (A)
Number of bags of soil required for new garden
[tex]= \frac{1}{5} * \frac{7}{5} \\= \frac{7}{25} \\[/tex]-------------------------- Eq (B)
Total number of bags that will be used
[tex]= Eq (A) + Eq (B)\\= \frac{7}{5} + \frac{7}{25} \\= \frac{42}{25} \\= 1 \frac{17}{25}[/tex]
If you divide a fraction by 1/2, and the result was a mixed numbers. Was the original fraction less or greater than 1/2
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Hope this helps!
Wilson goes hiking every 9 days and swimming every 6 days .He did both of the kind of exercise today how many days from now will you go both hiking and swimming again LCM
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Multiples of 6: 0, 6, 12, 18, 24, 30, 36
Multiples of 9: 0, 9, 18, 27, 36, 45
The first multiple they have in common is 18, so that is the amount of days until he will hike and swim on the same day. Note that both lists have 36, but this is not the answer since it is not the smallest multiple that they have in common.
Another recipe mr c likes is for a chocolate chip pancakes the recipe calls for 3/4 of a cup of chocolate chips, 1/6 of a cup of butter and 3 eggs if he decides to make pancakes for his whole family using five cups of chocolate chips how many cups of butter and how many eggs would he need do that they still taste the same
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Tell me then I could solve. :)
Your job pays $6 per hour. Write a variable expression for your pay in dollars for working h hours. What is your pay if you work 30 hours? (A) 6; $174 (B) 6h; $180 (C) 6h; $186 (D) 7h; $180
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Answer:
(B) 6h; $180
Step-by-step explanation:
Let h represents the number of hour.
Given,
Payment for an hour = $ 6,
So, the payment for h hours = 6h dollars,
Where, h is a variable.
Thus, the required variable representation is 6h.
If h = 30,
Thus, the total payment for 30 hours
= 6 ( 30 )
= $ 180
Hence, option B is correct.
A thermostat is set so that the temperature in laboratory freezer stays within 2.5 degrees F of 2 degrees F. Write and solve an absolute value equation to find the maximum and minimum temperatures in the freezer.
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2.5 = I d - 2I
The values of d can be calculated through,
2.5 = d - 2
d = 4.5
Also,
-2.5 = d - 2
-2.5 + 2 = d
d = -0.5
Thus, the maximum value of the temperature is 4.5 and the minimum value of the temperature is -0.5.
1. Refer to Expression 1 and Expression 2.
Expression 1 6 ⋅ 7- 3/2⋅9+4/3
Expression 2 5+4⋅2+6-2⋅2-1
(a) What is the value of Expression 1?
(b) Insert parentheses in Expression 2 so that it has a value of 19. Then show why your expression has a value of 19.
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25
with expression 2 5+4*2+6-2*2-1
just put parethhesis around the 5 and 4 so it looks like this (5+4)*2+6-2*2-1
it has this vaule now because you add 5+4 first now which changes the pemdas ordor around because before additon was the last thing but with parethisis it is the first
im using the * for multiplication
Answer:
a) Expression 1 = 29.833
b) (5+4) * 2 + 6 -2 * 2 - 1
Step-by-step explanation:
In expression 1 we have to know that the order to solve operations is:
First parenthesis, then multiplication and division and then addition and subtraction.
So we have the expression:
6*7-3/2*9+4/3
We first solve multiplications and divisions:
42-1.5*9+1.34
42-13.5+1.34 = 29.84
b) The parenthesis is the operation that goes first so if we insert the parenthesis in 5+4 we will get the next result:
(5+4) * 2 + 6 - 2 * 2 - 1
We have to solve parenthesis first, then multiplication and division and then addition and subtraction:
(9) * 2 + 6 - 4 - 1
18+6-4-1 = 19
We get the number 19.
Add using the number line.
1.4+(−0.8)
Select the location on the number line to plot the point.
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Adding a negative is the same as subtracting a positive! :)
Answer : The location on the number line to plot the point is shown below.
Step-by-step explanation :
Number line : It is defined as a straight line with the numbers that are placed at equal intervals along its length.
As we move from zero to the right the numbers are positive.
As we move from zero to the left the numbers are negative.
The given expression is:
1.4 + (-0.8)
By solving the expression, we get:
⇒ 1.4 - 0.8
⇒ 0.6
Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour. How much time passes until the second bus catches up with the first bus?
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How do you know whether an estimate of a product is an overestimate or an underestimate? Explain Please.
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2016 repayment limitation single taxpayer income is at 350% poverty level
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If the pattern is 3ª¯², what is the value if a = 5?
Question 5 options:
81
27
9
3
Save
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Why have all the rates of change in this assignment been negative? Explain.
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The problems have involved going down a waterslide.
To model a slide, you start at the highest point and then decrease as you move down the slide.
The rate of change has compared a drop or decrease in vertical height to an increase in either time or horizontal distance.
The rates of change is negative because the assignment involved the model of a waterslide with a downward slope.
Negative Rate of ChangeA negative rate of change would occur if the output decreases as the input increases, and vice versa.
For a model slide, the highest point is plotted first, and going down the waterslide shows a negative slope.
Therefore, the rates of change is negative because the assignment involved the model of a waterslide with a downward slope.
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The country fair charges $8.50 to get in and $2 per ride. If you have $50.50 in your pocket, write an equation to find out how many rides you can go on.
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There are many different ways to write this, but this was the first to come to mind, and easiest to understand.
A house and a lot are appraised at $158,100. If the value of the house is five times the value of the lot, how much is the house worth?
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s=price of lot
h+s=158,100
h=5s
(5s)+s=158,100
6s=158,100
s=26,350
h=5(26,350)
h=$131,750
Make a conjecture given that points A,B,C are collinear and AC+ CB=AB
1. C is between A and B
2. A is between B and C
3. B is between A and C
4. ABC is equilateral
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From that, we can conclude that C is between A and B. Because if you split AB, C will appear (AB = AC + CB).
Hope this helps! :)
The points A, B, C cannot be both collinear and form an equilateral triangle simultaneously. This is proven by applying the Pythagorean theorem and trigonometry laws for triangles, which show that the distances and angles do not match the requirements for an equilateral triangle if the points are collinear (on a straight line).
Explanation:
Given that points A,B,C are collinear and you've stated a variety of scenarios about the positioning of these points. Combining all these restrictions, however, leads to a contradiction. An equilateral triangle's points cannot all be collinear as you've mentioned in your last point. A collinear set of points exists on the same straight line. The points of an equilateral triangle do not fall on the same line. Therefore, it's impossible for points A,B,C to be collinear and also form an equilateral triangle ABC.
Applying the Pythagorean theorem to the positions of these points, we see that the distances on the sides of the triangle will not be equivalent if they are positioned in a straight line. Similarly, with the use of trigonometry laws for triangles, such as the ones for vector equations, the same result is found. The vector equations for collinear points lack the trigonometric components found in equilateral triangles.
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the temperature at noon was -27 degrees . the temperature increased by 13 degrees by 2pm . what was the temperature at 2pm
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-27 + 13
Now, all you would have to do is solve it.
-27 + 13 = -14
By 2 pm the temperature was -14 degrees.
I hope this helps!
-27 + 13 = -14
approximately 9 out of 10 smokers began smoking before the age of 21. In a group of 400 smokers, about how many of them started before they reached their 21st birthday?
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You can create an equation to solve for x:
[tex]9/10=x/400[/tex]
Cross Multiply.
[tex]9*400=10*x[/tex]
[tex]3600=10x[/tex]
Divide both sides by 10.
[tex](3600)/10=(10x)/10[/tex]
The Answer Is:
[tex]360=x[/tex]
Out the 400 smokers, approximately 360 of them started smoking before age 21.
Hope this helps.
-Benjamin
There are 360 smokers in group of 400 smokers began smoking before they reached their 21st birthday.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Approximately 9 out of 10 smokers began smoking before the age of 21.
Now,
Let number of smokers in group of 400 = x
Since, approximately 9 out of 10 smokers began smoking before the age of 21.
Hence, Number of smokers in group of 400 is,
⇒ 9 / 10 = x / 400
Solve for x as;
⇒ 9 × 400 / 10 = x
⇒ 9 × 40 = x
⇒ x = 360
Thus, There are 360 smokers started before they reached their 21st birthday.
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Identify The set of numbers that best describe each situation explain your choice the amount of money in a bank account and the exact temperature of a glass of water in degrees Celsius
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Answer:
The bank would be real and rational and the glass of water would be real and rational
Step-by-step explanation:
the guy above just wanted points
Write each Percent as a decimal and as a mixed number or fraction in simplest form
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[tex] p\%=\dfrac{p}{100}\\\\225\%=\dfrac{225}{100}=2\dfrac{25}{100}=2.25=2\dfrac{1}{4}\\\\550\%=\dfrac{550}{100}=\dfrac{55}{10}=5\dfrac{5}{10}=5.5=5\dfrac{1}{2}\\\\0.8\%=\dfrac{0.8}{100}=\dfrac{0.8\cdot10}{100\cdot10}=\dfrac{8}{1,000}=0.008=\dfrac{1}{125}\\\\0.06\%=\dfrac{0.06}{100}=\dfrac{0.06\cdot100}{100\cdot100}=\dfrac{6}{10,000}=0.0006=\dfrac{3}{5,000}[/tex]
logan mader 4 stacks of wooden blocks, the first tackswas 6 blocks tall,the second stacks was 2 blocks taller than the first, the third stack was 2 blocks shorter than the second stack, and the last stack was 10 blocks taller than the third stack. how many blocks did loganuse in all?
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because why not use it all????/??/?/??///
What's 5258 divided by 47
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5258/47 is 111.872
The answer to the question 5258 divided by 47 is approximately 111.87. This is solved using the mathematical operation of division.
Explanation:To solve the question 5258 divided by 47, we need to use the division operation. Division is one of the four basic operations in mathematics, along with addition, subtraction, and multiplication. In this case, we are dividing 5258 (the dividend) by 47 (the divisor).
Step 1: Start by placing 5258 under the division bar and 47 outside to the left.
Step 2: Divide 5258 by 47. This may be done manually, or by using a calculator. The answer you get is approximately 111.87 when rounded off to the nearest hundredth.
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The total number of cupcakes Carmen can bake depends on the amount of time she spends baking. Carmen can bake 84 cupcakes in 1.6 h. How many can she bake in 2 h?
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We are given that Carmen can bake 84 cakes in 1.6 hours, therefore, to know the number of cakes that she can bake in 2 hours, all you have to do is cross multiplication as follows:
number of cakes = (2*84) / 1.6 = 105 cakes
a veteran need to know an animal weight in kilograms if 20 lb is about 9 kilograms and the dog weight 30 lb find how much the dog weigh in kilograms explain your reasoning
what is the difference between ratio, unit rate and rate
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jane has 2 apples john takes one of her apples how many apples does jane have left
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This means Jane only has 1 apple left.
Which choice represents the best rational approximation for 35?
A) 5.9
B) 6.2
C) 6.7
D) 7.1
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because when you square 35 it comes up as 5.916
In the theory we are rounding to the nearest whole number;
A: 5.9, would be closer to 6 and 6 does not multiply into 35
B: 6.2, would be six, and would not multiple to 35
C: 6.7, would round to 7 and 7 fits into the multiple of 35
D: 7.1, Would round to 7, and fits into multiple of 35.
I hope this helps!
A dress is 10 marked down by 20% and placed on a clearance rack on which is posted a sign take an extra 40% off already reduced merchandise. What fraction of the original price is the final sales price of the dress?
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The final sales price of the dress is a fraction 12/25 of the original price after successive discounts of 20% and 40%.
To determine the final sales price of the dress after multiple discounts, we can apply each discount successively. Let's assume the original price of the dress is $10, as mentioned in the premise, although this might be a typo or an example figure since a dress would typically cost more.
First discount: 20% off the original price, which is 0.20 x 10 = $2. So the new price after the first discount is $10 - $2 = $8.
Second discount: An additional 40% off on the already reduced price of $8. The additional discount is 0.40 x 8 = $3.20. Therefore, the final sales price after the second discount is $8 - $3.20 = $4.80.
To find the fraction of the original price that the final sales price represents, we divide the final price by the original price: $4.80 / $10 = 0.48. Thus, the fraction of the original price is [tex]\frac{48}{100}[/tex] or 24/50 after simplification, which further simplifies to 12/25