Mathematics Middle School

Solve the perimeter formula for an isosceles triangle, p=2a+b, solve for b.

Answers

Answer 1

minus 2a from both sides
p-2a=b

Answer 2

Answer:

b= (p)/(2a)

Step-by-step explanation:

Related Questions

A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = - 16t^2 + 576t. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit.

Answers

We have to find te vertex of this parabola.
Given a square function:
F(x)=ax²+bx+c
The vertex of this parabola will be the point (-b/2a, f(-b/2a)

In this case:
h(t)=-16t²+576t
a=-16
b=576
-b/2a=-576/-32=18
h(18)=-16(18)²+576(18)=-5184+10368=5184
The vertex will be: (18, 5184)

Because a is negative we have a maximum, if a were positive we have a minimum.
Then we have a minimum at t=18 s; and the maximum heigth would be 5184 m

Answer: The projectile take to reach its maximum heigth in 18 s, and the maximum height would be 5184 m.

h(t) = -16t^2 + 640t This is a "quadratic" (think parabola) and because the coefficient associated with the t^2 term is NEGATIVE, we know it opens downward. Therefore, the vertex is the maximum. . The time (secs) when it reaches the max is: t = -b/(2a) t = -640/(2(-16)) t = -640/(-32) t = 20 seconds

a phone company charges a base fee of $10.00 per month

Answers

Not sure what the question is but ill try an explain. $10.00 a month means $1200.00 a year. if you ever need to find out the amount it will cost for x months then this is the equation M = $10(x) M is the total amount it costs, 10 is the 10 dollars you pay every month and (x) is how many months. so lets say you need to know how much it will cost for 3 months, then all you do is plug 3 into the x's spot and solve the equation. Hope this helps! Need anything else just ask!

Store ABC sells 8 lbs. of oranges for $6.00. Store XYZ sells 14 lbs. or oranges for $11.20. Which store is less expensive, and by how much per pound? 1. ABC is less expensive by $.50 per pound 2. XYZ is less expensive by $.50 per pound 3. ABC is less expensive by $.05 per pound 4. XYZ is less expensive by $.05 per pound

Answers

ABC-
8:6

XYZ-
14:11.20

ABC (unit rate)-
Divide both sides by 8...
1:0.75

XYZ (unit rate)-
Divide both sides by 14...
1:0.80

ABC is less, 0.80>0.75. The difference between the two is 0.05; 0.80-0.75=0.05.

So the answer is:
3. ABC is less expensive by $0.05 per pound.

Jonathan purchased 30 bags of mulch to spread in his garden. The graph shows points representing the number of bags of mulch left to spread at several different times while Jonathan is working.

A function graph of a line segment having three points (0,30), (1,21) and (2, 12) with an x axis of zero to four Hours and a y axis of zero to thirty five Bags of mulch left

Select from the drop-down menus to complete the equation, in standard form, that represents the relationship between the number of bags of mulch left to spread, y, and the time, x, Jonathan has spent mulching.

Answers

it shounld be -9x+y=30

Final answer:

The equation that represents the relationship between the number of bags of mulch left to spread, y, and the time, x, Jonathan has spent mulching, is y = -9x + 30.

Explanation:

To find the equation that represents the relationship between the number of bags of mulch left to spread, y, and the time, x, Jonathan has spent mulching, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we can find the slope, m, by using the formula m = (y2 - y1) / (x2 - x1). Using the points (0,30) and (1,21), the slope is (21 - 30) / (1 - 0) = -9.

Next, we can choose one of the points, (0,30), and substitute the values into the equation to find the y-intercept, b. Plugging in x = 0 and y = 30, we get 30 = -9(0) + b, which simplifies to 30 = b.

Therefore, the equation that represents the relationship is y = -9x + 30, in standard form.

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Number 5 says: a punch recipe that serves 24 people calls for 4 liters of lemon-lime soda,2 pints of sherbet and 6 cups of ice. A .Complete a ratio table to represent this situation B. How much of each ingredient would you need to make an identical recipe that serves 12 people?36 people?

Answers

A. 2 liters lemon lime soda 1 pint ice cream 3 cups of ice

B. 6 liters lemon lime:3 pint ice cream:9 cups ice

write a real-world problem that could be solved using a proportion

Answers

What proportion of the pie did my mom eat if 1/2 is left? - That's a question you could use. Hope I helped!!!!!

The required real-world problem is given as "7/10 of the proportion of the earth is water. What is the proportion of earth is land?"

Given that,
A question is to be written which is based of real life as well as proportion based.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
A proportion relation is defined as the quantity of the matter or entity with respect to the composite quality of the matter and quantity.

Thus, a real-world problem can be given as " 7/10 of the proportion of the earth is water. What is the proportion of earth is land?."

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How do you do this. I really need help.

Answers

7 * sqroot (x-5) = 12 -4
sqroot (x-5) = 8/7
x-5 = (8/7)^2
x= (8//7)^2+5

A geologist visits 60 volcanoes in Alaska and California. 15% of the volcanoes are in California. How many volcanoes did the geologist visit in California and how many are in Alaska?

Answers

To solve this, first find out how many volcanoes were in California. As 15% were in California, you can multiply the total number of volcanoes by the percent IN DECIMAL FORM. To convert it to decimal form, divide it by 100, so 15/100=.15. Now multiply by your total to get the number of volcanoes in California (C), C=60*.15=9 volcanoes in California. To get the volcanoes in Alaska, yous subtract your volcanoes in California from your total, so 60-9=51 volcanoes in Alaska.

maddie's bank account the time(hours) and Amount in account($) the order paris are (0,40),(1,49),(2,58),(3,67) what is the rate

Answers

$9 an hour
that 20% of a penny a second, okayyy!

Sarah,Juan, are on the track team. Last week, Sarah ran 8.25 miles, Juan ran 11.8 miles, and Larry ran 9.3 miles. How many miles did they run altogether?

Answers

Add them all together. You get 29.35 miles.

add all the numbers 8.25+11.8+9.3=29.35

What number must multiply each side of the equation 2/3x = 16 to produce the equivalent equation x = 24?

- 2/3

2/3

- 3/2

3/2

Answers

3/2 because the 2/3 gets converted to the other side and flips the whole fraction.

Applying the multiplication property of equality, the number that both sides of the equation must be multiplied by is: D. 3/2.

What is the Multiplication Property of Equality?The multiplication property states that to balance an equation, both sides of the equation should be multiplied by the same value to solve an equation.

Given, 2/3x = 16

Multiply both sides by 3/2

2/3x × 3/2 = 16 × 3/2

x = 24

Therefore, applying the multiplication property of equality, the number that both sides of the equation must be multiplied by is: D. 3/2.

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Amery drives 50 miles in one hour. How many miles does he drive in 2.25 hours?

Answers

So if he drives 50 miles in 1 hour, then he must drive 100 miles in 2 hours. 0.25 is another way of writing 1/4, and to find 1/4 you divide by 4, so 50 ÷ 4 = 12.5 miles. Then you can add this to 100 and get your answer as 112.5 miles.
If you have a calculator, or if you're allowed a calculator, then a simpler way is to just do 2.25 × 50 = 112.5
Hope this helps!

What is the value of x in this proportion, 6/9 = x/12

Answers

the right answer is x=8.

Lines AB and CD are parallel. If 1 measures 131°, what is the measure of 4?
A.
141°
B.
59°
C.
49°
D.
131°

Answers

The answer is D. 131

Write two different ways to find the difference for 12 - 3

Answers

Hey there! Hello!

There are a few different ways you could represent subtraction. One of which is by using a circle or other shape to represent each number in your problem, which is 12, then cross out the number you want to take away. You can see this in the higher portion of my attachment.

Another method you could use is a number line. In the lower portion of the attachment, you can see how I start at 12 then move towards zero three times.

In both instances, you can see that 12 – 3 is equal to nine.

Hope this helped you out! Feel free to ask any additional questions if you have any. :-)

Final answer:

There are two different ways to find the difference for 12 - 3: using the subtraction method or the addition method. Both methods will give you the same result of 9.

Explanation:

There are two different ways to find the difference for 12 - 3:

Subtraction Method: Subtract the smaller number (in this case, 3) from the larger number (in this case, 12).
12 - 3 = 9Addition Method: Start with the smaller number (3) and keep adding until you reach the larger number (12). Count the number of steps or additions it takes to reach 12.
3 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 9

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Heather works in a clothes shop where she earns a commission of 5% and no weekly salary. What will heather's weekly sales have to be for her to earn $375.00 in a week?

Answers

Heather's weekly sales must be $7500 in order to earn $375.00 in weekly salary.

What is the commission?A commission is a fee charged by a broker or investment advisor for handling a client's securities purchases and sales or for providing financial advice.There are significant distinctions between commissions and fees, at least in the context of professional advisors in the financial services sector.A commission-based advisor or broker earns money by selling investment products such as mutual funds and annuities as well as engaging in financial transactions with clients' funds.

Therefore,

Commission / commission rate = sale

Commission = $ 375.00 in a week

Commission rate = 5%

∴ 0.05

Then simplifying we get,

⇒ 375/0.05

= 7,500

Hence, Heather's weekly sales have to be $7500 to earn $375.00 in a weekly salary.

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. If x = 5 units, y = 17 units, and z = 4 units, then what is the surface area of the rectangular prism shown above? A. 340 units2 B. 346 units2 C. 414 units2 D. 173 units2

Answers

We would need to see the picture but add up all of these three numbers and there should be 1 number given. I think that would give you surface area.

It -10 Fahrenheit in Minneapolis then in Chicago select all the values they could represent the temperature of Minneapolis

Answers

High °F Low °F City High °C Low °C
84 64 Chicago, Illinois 29 18

Final answer:

If it's -10 Fahrenheit in Minneapolis and a cold front drops the temperature by 40 degrees, the new temperature would be -50 Fahrenheit.

Explanation:

If the temperature is -10 Fahrenheit in Minneapolis, and a cold front drops the temperature by 40.0 Fahrenheit degrees, we need to calculate the new temperature. This would mean subtracting 40 degrees from the current temperature of -10 degrees.

Starting with -10, we subtract 40 degrees:
-10 − 40 = -50

Therefore, the value that could represent the temperature in Minneapolis after the cold front is -50 Fahrenheit.

Hubert is stacking canned vegetables on shelves in a warehouse. Eight cans of corn are packed in each box.If Hubert puts 56 boxes of corn and 92 boxes of beets on the shelves , how many cans of vegetables are on the shelves?

Answers

148 is the correct answer

the correct answer is 148

15-(m+p);use m=3,and p=10

Answers

15 - (m + p)
Substitute for m = 3 & p = 10

15 - ( 3+10)
15 - 13 = 2

So, your final answer is 2

Hope this helps!

Lynnette can wash 95 cars in 5 days. How many cars can Lynnette wash in 11 days?

Answers

Hello! To solve this problem, we are going to write a unit rate, which will be the number of cars she washes per day. 95/5 = 19/1 Lynette can wash 19 cars per day. 19 x 11 = 209 Hope this helps! :)

95 / 5 = 19.
19 cars=1 day
19 x 11 209 cars

2/3n + 5 greater than 12

Answers

2/3n + 5 > 12
2/3n > 12 - 5
2/3n > 7
n > 7 * 3/2
n > 21/2 or 10 1/2

The answer would be yes

6/9 in simplest form

Answers

6/9 divide both numerator and denominator by 3 to get 2/3

The answer is 2/3.

If this helped you and if you don't mind can you mark me as the brainliest please.

What is the range of the function on the graph?

A.all real numbers
B.all real numbers greater than or equal to 0
C.all real numbers greater than or equal to 1
D.all real numbers greater than or equal to 2

Answers

the answer will be D

your answer is d hope it helps

evaluate 3/7r + 5/8s when r = 14 and s = 8.

Answers

3/7 (14) + 5/8 (8)

= 6 + 5

=11<answer

Answer:

[tex]11[/tex]

Step-by-step explanation:

we have

[tex]\frac{3}{7}r+\frac{5}{8}s[/tex]

Substitute the values of [tex]r=14[/tex] and [tex]s=8[/tex] in the expression to evaluate

[tex]\frac{3}{7}(14)+\frac{5}{8}(8)[/tex]

[tex]=3*2+5[/tex]

[tex]=6+5[/tex]

[tex]=11[/tex]

Write 39,083 in word form

Answers

Thirty nine thousand, eighty three

Janette went to Tire Mart and paid $122.57 per tire for 4 tires and a flat rate fee for installation for a total of $555.28 before taxes. Monique went to Fast Wheels and paid $136.71 per tire for 4 tires and a flat rate fee for installation for a total of $585.34 before taxes. The difference in the amount that they paid in installation charges is $.

Answers

122.57 ×4=490.28 Total was 555.28 which would be a difference of 65.00 136.71 ×4=546.84 Total was 585.34 which would be a difference of 38.50 Subtract the two differences which is $26.50

Answer:

Step-by-step explanation:

26.50

Jakie liczby należy wpisać w miejsce a b oraz c wyposażeniu kostki suma liczb na przeciwległych ścianach po a równa 40

Answers

117.69615 is correct. it would be 118 to the nearest whole number

Josie spent 4/7 of the money in her purse on some books, and the rest of the money on 18 markers. Each marker cost $1.20. How much money was in Josie's purse to begin with?

Answers

1.20 x 18=21.6 Therefore 3/7 is equal to $21.6. So 21.6/3= 7.2 which is equal to 1/7. If 7.2 is 1/7 that means that 7.2 x 7 which is 50.4 is your answer. So she had $50 and 40 cents. PLEASE MARK BRAINLIEST ANSWER :)

-84(-3 - 5p)=-176 help please

Answers

-84 = 3(5n + 2)

Multiply everything in the parenthesis.

-84 = 3(5n + 2)
3*5n + 3*2

-84 = 15n + 6
Subtract 6 from both sides

-84 = 15n + 6
-6 -6

-90 = 15n
Divide 15 from both sides

-90 = 15n
--------------
15 15

-6 = n

-6 is your answer.

First divide both sides by the coefficient, -84, to leave (-3 - 5p) = -176/-84 = 176/84

Then add 3 to both sides, which gives -5p = (176/84) + 3 = 62/21 + 3

Now divide both sides by the coefficient -5:

p = (125/21)/-5 = -25/21

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