Answer:
Option no C
Step-by-step explanation:
Given:
Price of crackers $ 9 for 3 boxes
Price of Granola Bars $6 for 3 boxes
Total bought $ 20 worth of snacks
To find the equation
Solution:
Price of cracker $ 9 for 3 boxes
price of one box of a cracker = $ 9 / 3
=$ 3 per box
Price of granola bars $ 6 for 3 boxes
price of one box of a granola bars = $ 6 / 3
=$ 2 per box
Let total crackers bought are x
price of x crackers will be 3x
Let granola bars bought are y
price of y granola bars will be 2y
as total price is 20
so price of x crackes + y granolas = 20
which will be
3x + 2y = 20
which will be option no C
Which of the images above represents a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem.
Answer:
The image with 25, 144 and 169 represents proof of the Pythagorean Theorem.
Step-by-step explanation:
The Pythagorean Theorem is used to find the missing side of a right triangle. The formula is a^2 + b^2 = c^2, where 'a' and 'b' represent the legs of the triangle (the ones the form the 90 degree angle) and 'c' represents the hypotenuse (the diagonal across from the 90 degree angle). In the case of the three squares, the area of each square is given. The area of a square is simply the base multiplied by the height, which in the case of a square those dimensions are the same. So, taking the square root of 25 = 5, the square root of 144 =12 and the square root of 169 = 13. If we apply the Pythagorean Theorem formula, we get 5^2 + 12^2 = 13^2, or 25 + 144 = 169. This image proves the Pythagorean Theorem holds true.
Write each equation in slope intercept form. Identify the rate of change and the Y intercept ( write in coordinate form). Show work!!
Please make sure to include the equation!!
The equation of the given straight line in slope-intercept form is y = 3x + 9. The y-intercept or the point at which the line crosses the y-axis (0,9), and the rate of change or slope of the line is 3.
Explanation:The equation of a line in slope-intercept form is expressed as y = mx + b where m represents the slope of the line, and b represents the y-intercept.
Given the information from the figure, the slope m is 3 and the y-intercept b is 9. Therefore, the equation of the line in slope-intercept form can be written as y = 3x + 9.
The line intersects the y-axis at (0,9) which is the y-intercept in coordinate form. The rate of change, represented by the slope, is 3, which means for every increase of 1 unit on the x-axis, the y-value increases by 3 units.
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12x+7<−11 OR 5x−8>40. Solve for the inequality
To solve the inequality 12x+7<−11 OR 5x−8>40, isolate x in each equation. The solutions are x < -1.5 and x > 9.6.
Explanation:To solve for the inequality 12x+7<−11 OR 5x−8>40, we first need to simplify each equation separately i.e isolate x in each separate equation.
For the inequality 12x + 7 < -11: Subtract 7 from both sides, which gives 12x < -18. Then divide by 12 which will yield x < -1.5.
For the inequality 5x - 8 > 40: Add 8 to both sides, which gives 5x > 48. Then dividing both sides by 5, we get x > 9.6.
Our answer is therefore x < -1.5 OR x > 9.6. This means that any x value satisfying either of these conditions will satisfy the original inequality.
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To solve the compound inequality 12x + 7 < -11 OR 5x - 8 > 40, solve each inequality separately to find x < -1.5 or x > 9.6. This means x can be any value less than -1.5 or greater than 9.6.
To solve for x in the given compound inequality, we need to handle each inequality separately.
Step-by-Step Solution:
First, solve the inequality 12x + 7 < -11:Subtract 7 from both sides: 12x < -18Divide both sides by 12: x < -1.5Second, solve the inequality 5x - 8 > 40:Add 8 to both sides: 5x > 48Divide both sides by 5: x > 9.6Therefore, the solution to the compound inequality is x < -1.5 OR x > 9.6.
This means x can be any number less than -1.5 or greater than 9.6.
Evaluate for a = 7
8a - 4 = _____
8 (7) - 4 =
56 - 4 = 52
I hope this helps! Have a good night!
The tax on a $400 painting is $34. What shiuld be the tax on a $700 painting.
Answer:
$59.50
Step-by-step explanation:
34/400=x/700
400x=23,800
x=59.5
Answer:
see below Please give brainliest
Step-by-step explanation:
To find the tax rate:
$34 ÷ $400 = 0.085 = 8.5%
To figure amount of tax:
$700 x .085 (8.5%) = $59.50 is the amount of tax to be paid
The location of four buildings are on a coordinate grid are as follows: bank at (3, −3) post office at (−2, −3) dry cleaner at (−2, 6) pizza shop at (3, 6) Liza begins at the bank and then walks to the post office, then to the dry cleaner, and then to the pizza shop. Then she walks to the bank again, where she left her cell phone. The path between each building is a straight line. One unit on the coordinate grid equals 400 yards. What is the total distance Liza walked?
Answer:
11,200 yards
Step-by-step explanation:
First, plot all the points on a graph. Then draw Liza's path. Add them all up and multiply by 400.
28 · 400 = 11,200.
Liza walked 11,200 yards.
My graph is attached. The blue line is Liza's path and each coordinate point is labeled.
I hope this helps u!!
:)
Answer:
11,200 yards.
Step-by-step explanation:
Distance between two points is;
Distance = √(x²+y²)
Distance between Bank and post office = √(5²+0)
= 5
Distance between post office and dry cleaner = √(0+9²)
= 9
Distance between Dry cleaner and pizza shop = √(0+5²)
= 5
Distance between Bank and pizza shop = √(9²-0)
= 9
Total distance = 5+9+5+9
= 28 units
1 unit ⇒ 400 yards
28 units ⇒ (28×400)
⇒ 11,200 Units
Because of its conversation and easy access to ATMs ___ is the most common form of payment today.
Because of its convenience and easy access to ATMs, debit cards are the most common form of payment today.
Debit cards are linked to your bank account and will allow you to access those available funds. If you swipe your debit card it will automatically remove funds from your bank account to pay for your items. You are also able to use it at an ATM to withdraw cash. Most debit cards have an allowed amount of money you can withdraw from an ATM in a day.
Answer:
Step-by-step explanation:
a Debit card
apex
Enter the value of a and b that complete the sum: 3/x + 5/x^2 = ax+b/x^2
Answer:
a=[tex]\frac{3}{x^{2} }[/tex]
b=5
Step-by-step explanation:
we are given
[tex]\frac{3}{x} }[/tex]+[tex]\frac{5}{x^{2} }[/tex]=ax+[tex]\frac{b}{x^{2} }[/tex]
we will compare both sides of equaion
[tex]\frac{b}{x^{2} }[/tex]=[tex]\frac{5}{x^{2} }[/tex]
comparing both sides we get
b=5
and
[tex]\frac{3}{x} }[/tex]=ax
a=[tex]\frac{3}{x^{2} }[/tex]
hence
a=[tex]\frac{3}{x^{2} }[/tex]
and b=5
Answer:
a=3
b=5
Step-by-step explanation:
answers on edge
( 4 over 4 )x = 4/32 what is the value of x
4 over 4 (4/4) is equal to 1.
The equation can be rewritten as X = 4/32
4/32 can be simplified to 1/8
So you have X = 1/8
Answer:
1/8
Step-by-step explanation:
to simplify 4/32, you just have to see how many times 4 goes into 32, in this case the answer is 8. A good rule of thumb is if the smaller number is on the top of the fraction, you will get a fraction for an answer, so the 4 turns into 1 and the 32 turns into 8.
What’s the value of x?
Answer: C: 10
Step-by-step explanation: You need to use the equation a^2+b^2=c^2. So it's 6^2+8^2=x^2.
36+64=100
Square root of 100 is 10
10^2 = 100
Which measures have the dotted quarter note and single eighth note so that they sound like syncopation?
Question 5 options:
Measures 1, 2, 3, and 4
Measures 2 and 4
Measures 1 and 3
Measure 2
Answer:
Measures 1 and 3
Step-by-step explanation:
Eighth notes appear as a quarter note with flag on the end. Dotted quarter notes are quarter notes with a dot.
Outliers are always in which quartile(s) of a box and whisker plot?
A. First quartile
B. Second and third quartiles
C. First and fourth quartiles
D. Second and fourth quartiles
Answer:
C. First and fourth quartiles
Step-by-step explanation:
Let's see what outliers are.
If a data value is very far away from the quartiles (either much less than Q1 or much greater than Q3 ), it is sometimes designated an outlier .
Therefore, from the above definition.
Outliers are always in " first and fourth quartiles"
Answer: C. First and fourth quartiles.
Thank you.
The sum of three consecutive odd integers is 951 What are the integers
Answer:
315, 317, and 319
Step-by-step explanation:
So first we have to set the equation up. Since it is odd, we would write
[tex](x-2)+x+(x+2)=951[/tex]
where x is the middle integer. This gets you
[tex]3x=951[/tex]
Solving for x we get
[tex]x=317[/tex]
Since x was the middle, we subtract 2 and add 2 and put them together in ascending order, or 315, 317, and 319.
How do I solve this ?
Look at the picture.
ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:
[tex]\dfrac{DC}{ZX}=\dfrac{DY}{ZY}[/tex]
DC = x
ZX = 16
DY = a
ZY = a + a = 2a
Substitute:
[tex]\dfrac{x}{16}=\dfrac{a}{2a}[/tex]
[tex]\dfrac{x}{16}=\dfrac{1}{2}[/tex] multiply both sides by 16
[tex]\boxed{x=8}[/tex]
Answer: CD = 8russell , sarah and terry share money in the ratio 2:5:8 , russell gets 120 pound less than terry. how much money do they get each
Answer:
Russell: 40 pounds; Sarah: 100 pounds; and Terry: 160 pounds.
Step-by-step explanation:
The three different amounts of money are 2x, 5x and 8x, or 15x.
Terry gets 8x, whereas Russell gets 2x, and 8x - 2x = 120 pounds.
Solving for x, 6x = 120 pounds, and so x = 20 pounds.
Russell gets 2(20 pounds); Sarah gets 5(20 pounds); and Terry gets 8(20 pounds), or 40 pounds, 100 pounds and 160 pounds. Note that 40 pounds is 120 pounds less than 160 pounds, as required by the problem.
In this ratio problem, the total money is split into 15 portions. Each portion is worth 20 pounds. Russell gets 40 pounds, Sarah gets 100 pounds and Terry gets 160 pounds.
Explanation:The subject of this question is ratios and its application to practical problems. In this problem, Russell, Sarah and Terry share money in the ratio 2:5:8, meaning the total money is shared in 15 portions (2+5+8). As we know that Russell gets 120 pound less than Terry, which would be 6 portions (8 portions for Terry - 2 portions for Russell).
Therefore, each portion of money is equal to 120 pound divided by 6, which is 20 pound. So, Russell receives 2 portions which equals 40 pound (2 x 20), Sarah receives 5 portions which equals 100 pound (5 x 20) and Terry receives 8 portions which equals 160 pound (8 x 20).
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14. A line that passes through the point (5,7) has a slope of 3. Which other point is on that line?
There are no answer choices, so I will just list a few. But first, we need to create the equation.
Plugging in (5,7) into the equation y=mx+b, we can solve for b since all of the other variables are known, with m=3 as the slope.
So, 7=3*5+b
7=15+b
b = -8
y=3x-8 is your equation.
So, you can plug in any value of x you get a certain value of y.
(1,-5), (2,-2), (3,1), (4,4), (5,7), (6,10), (7,13)
Answer:
(6, 10)
Step-by-step explanation:
slope = [tex]\frac{change in y}{change in x}[/tex] = [tex]\frac{3}{1}[/tex]
to find another point on the line add 3 to the y-coordinate and add 1 to the x-coordinate
(5, 7) → (5 + 1, 7 + 3) → (6, 10) ← other point on line
continue to do this for other points
(6, 10) → (6 + 1, 10 + 3) → (7, 13)
Can someone please help me write a story problem to match the equation above?
Answer:
There was 36 apples and it had to be divided between five friends and they all had to get the exact same number of apples. However, the number o people was odd and the number of apples was even. At the end, how many apples would each kid get and how many would be left.
Step-by-step explanation:
36/5 = 7.2
7 apples X 5 kids = 35 apples in total
36 - 35 = 1 apple left
7 R1
Last week Juan worked 20.5 hours. This week he works 1.5 times as many hours as he did last. How many hours does Juan work this week?
Answer:
30.75 hours
Step-by-step explanation:
Let
x----> the number of hours worked last week
y ----> the number of hours that Juan work this week
we know that
To find out how many hours does Juan work this week, multiply the number of hours worked last week by 1.5
so
[tex]y=1.5x[/tex]
we have
x=20.5 hours
substitute
[tex]y=1.5(20.5)=30.75\ hours[/tex]
A humidifier uses 30 gallons of water in 8 hours. If the total amount of water available is 45 gallons, how many gallons of water would be left after 7 hours?
Answer:
18.75 PLEASE GIVE BRAINLIEST
Step-by-step explanation:
8 hours = 30 gallons
30 ÷ 8 = 3.75 gallons of water used per hour
3.75 x 7 = 26.25 gallons used in 7 hours
45 - 26.25 = 18.75 gallons left after 7 hours
what is -3/4 × -8 ?
Question
what is -3/4 × -8 ?
Answer:
6Step-by-step explanation:
-3/4 * (-8) =
-3 * (-2) =
6
Help ASAP! Math!! <3
Answer:
y = 13x
Step-by-step explanation:
identify the two irrational numbers
the table below shows the relationship between the number of hours a computer programming project takes and the cost charged by a programmer.
Hours(x) 4 6 8 10
Cost(y) $725 $975 $1225 $1475
Write a linear equation in slope- intercept form that describes the relationship form that describes the relationship in terms of x and y.
How much does the programmer charger per hour?
How much does the programmer charge for a 25-hour long project?
Answer:
y = 125x+225
The programmer chargers a flat fee of 225 and then $125 per hour.
The charge for a 25 hour project is $3350
Step-by-step explanation:
To find the slope (y2-y1)/(x2-x1)
m = (1475-725)/(10-4)
= 750/6
=125
The slope is $125
Using the point slope form of the equation for a line
y-y1 = m(x-x1)
y-725 = 125(x-4)
Distribute the 125
y-725 =125x-500
Add 725 to each side
y-725+725 = 125x-500+725
y = 125x+225
The programmer chargers a flat fee of 225 and then $125 per hour.
If you have a 25 hour long project, let x =25
y = 125(25) + 225
y= 3125+225
y = 3350
Simplify.
1.567 + 2.345 - 1.83(5)
A) -2,082
B) -5.238
C) 2.082
D) 5.742
Hey there!
In order for you to solve this equation, you could do PEMDAS
[tex][P]arentheses[/tex][tex][E]xponents[/tex][tex][M]ultiplication[/tex][tex][D]ivision[/tex][tex][A]ddition[/tex][tex][S]ubtraction[/tex]~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]1.567+2.345-1.83(5)[/tex]
[tex]1.567+2.345= 3.912[/tex]
[tex]3.912- 1.83(5)[/tex]
[tex]1.83(5) = 9.15[/tex]
[tex]3.912 -9.15 = -5.238[/tex]
[tex]\boxed {AnswerB: -5,238}[/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Answer:
-5.238
Step-by-step explanation:
Remember your order of operations. Multiplication happens before subtraction.
3.912 - 9.15
-5.238
Mark bought a concert ticket for $88, then sold it for $121. By what percent did he mark the ticket up?
Answer:
27.27%
Step-by-step explanation:
Formula:
%= 100*(revenue-cost)/ revenue
%= 100* (121-88)/121
By 27.27% the ticket price mark up.
What is Percentage increase?The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
Given:
Mark bought a concert ticket for $88.
Mark sold it for $121.
Change in amount= 121- 88 = $33.
So, the percent increase
= (121- 88) / 88 x 100
= 33/121 x 100
= 3/11 x 100
= 27.27%
Hence, the percent mark up is 27.27%.
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After walking 1/4 mile from home, ham is 1/3 of his way to school. What is the distance between his home in school?
Answer:
3/4
Step-by-step explanation:
If he is 1/3 of the way to school, then the total distance he has to walk is 3 times what he has walked so far:
3*(1/4) -3/4
The distance from home to school is 3/4 mile.
Let n be even number, then the next even number greater than n is
Answer:
If N is 38, next even number would be 40
Step-by-step explanation:
Any number ending with 0 2 4 6 8 is even, sorry if this ins't what you were asking I didn't understand completely
You are going to spend &47.50 to play games at the fair. Each game costs 0.50$ per play. Which of those equations best shows how much money you have left as you play the games?
what is the equation of a line that has a slope of 3 and a y-intercept of -3
Answer:
y = 3x-3
Step-by-step explanation:
y = mx+b
m is your slope and b is your y-intercept
plug those numbers in
y = 3x-3
The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
We have m = 3 and b = -3. Substitute:
y = 3x - 3Rachel decided to have bouncy balls as a party favor. She determines that her ratio of bouncy ballsTwo guest is 9:3. Explain how to find the number of balls needed for30 guest
Answer: 90
Step-by-step explanation:because if you times 10 to get 30 so you also times it by 9 so 9 x 10 = 90