Answer:
binomial
Step-by-step explanation:
A binomial is a polynomial with 2 terms
5a+2b has two terms
Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase? 1.29x + 0.85y < 5 1.29x + 0.85y > 5 0.85x + 1.29y > 5 0.85x + 1.29y < 5
Answer:
0.85x + 1.29y < 5
Step-by-step explanation:
0.85x of potatoes
1.29 y of grapes
0.85x+1.29y<5 is required equation
Inequality represents purchase of x pounds of potatoes for [tex]$0.85[/tex] per pound and y pounds of grapes for [tex]\$1.29[/tex] per pound with total cost was less than [tex]\$5[/tex] is equal to [tex]0.85x + 1.29y < 5.[/tex]
What is linear inequality?" Linear inequality is defined as the relation between variables with highest exponent one is related with sign of inequality >, < , ≤, ≥."
According to the question,
'x' pounds represents the weight of potatoes
'y' pounds represents the weight of grapes
Cost of potatoes per pound = [tex]\$0.85[/tex]
Cost of grapes per pound = [tex]\$1.29[/tex]
Total cost used to purchase the items = [tex]\$5[/tex]
Substitute the values to represents the relation of linear inequality,
[tex]0.85x + 1.29y < 5[/tex]
Hence, linear inequality represents Dan purchase is [tex]0.85x + 1.29y < 5.[/tex]
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Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice. She finds the unit rate of each brand and rounds to the nearest cent. Which statement about the unit rates is true?
Answer:
"Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce."
In order to find the rounded cost per one item (in this case, per one ounce) Susan needs to divide the total price between the number of units and after that, round the result obtained up to the nearest cent.
Therefore:
Brand A
2.55$/12 ounces= 0.2125 $/ounce
As the third decimal digit, 2, is closer to 0 than to 9, then we maintain the second decimal digit as 1.
The price per unit of brand A after rounding it up is 0.21 $ per ounce
Brand B
1.45$/8 ounces= 0.1812
As the third decimal digit, 1, is closer to 0 than to 9, then we maintain the second decimal digit as 8.
The price per unit of brand B after rounding it up is 0.18 $ per ounce
What is the slope of the line graphed below?
th
(2, 3)
(1,-2)
Answer:
slope:5
Step-by-step explanation:
Answer: y = x + 5
Step-by-step explanation:
If it's perpendicular the slope is the opposite inverse of the other line,
The slope of line y = x + 5 is 1, because it's the number before x, so, the opposite inverse would be -1/1 = -1.
The graph of the function f(x)=x^2-4x+6 is shown here. What is it’s axis of symmetry
Answer:
x = 2
Step-by-step explanation:
Since you didn't attach an image of the graph I'll have to do this the long way and use a strategy called "completing the square" to find the vertex. The x-coordinate of the vertex is the axis of symmetry.
x² - 4x + 6
= (x - 2)² - 4 + 6
= (x - 2)² + 2, therefore the vertex is (2, 2) so the axis of symmetry is x = 2.
The surface areas of two similar triangular prisms are 132 m2 and 297 m2. The volume of the smaller prism is 264 m3. What is the volume of the larger prism?
Answer:
Step-by-step explanation:
There is a specific order in which these dimensions exist.
Perimeter-->Area-->Volume
Perimeter is one-to-one,
Area is the one-to-one squared, and
Volume is the one-to-one cubed.
We are given area and the volume of one of the objects. In order to find the volume of the other object, we first need to determine the one-to-one ratio and then take it from there. If the areas exist in a
[tex]\frac{132}{297}[/tex] ratio, to find the one-to-one, we have to take the square roots of those numbers. That gives us a one-to-one of
[tex]\frac{\sqrt{132} }{\sqrt{297} }=\frac{2\sqrt{33} }{3\sqrt{33} }=\frac{2}{3}[/tex]
The ratio of the volumes now is that one-to-one cubed:
[tex]\frac{(2)^3}{(3)^3}=\frac{8}{27}[/tex]
Using that ratio along with the given volume we can solve for the unknown volume:
[tex]\frac{8}{27} =\frac{264}{x}[/tex] and cross multiply:
8x = 7128 so
x = 891
please answer all 3 percentages questions below
Answer:
a). 16% of £50
= 16/100 ×50
= 8
= £8
b). 44% of 781g
= 44/100 × 781
= 343.64
= 343.64g
c). 92% of 1050km
= 92/100 × 1050
= 996
= 996km
Hope this helps.
2 3 4 5 6 7 8 9 10 TIME REMAINING 01:30:28 Angelica’s bouquet of a dozen roses contains 5 white roses. The rest of the roses are pink. What fraction of the bouquet is pink roses? There are 12 roses in a dozen.
Answer:
7/12
Step-by-step explanation:
Answer:
7/12
Step-by-step explanation:
12-5=7
7/12
Write a function rule for the table. f(x) = x + 4 f(x) = –4x f(x) = 4x f(x) = x – 4
f(x) = –4x is a function rule for the table.
The area of the square is 25 square feet. Question To the nearest tenth, what is the diameter of the circle?
Answer:
191.1
Step-by-step explanation:
the area of a circle is pi times radius squared witch pi time 4.4 equals radius = 13. something and that squared = 191.0755... so it would be rounded to 191.1
Answer: 5.6 ft
Step-by-step explanation: equation to solve for diamter when given the area:
d= 2√A/π
if thats too confsuing the equation will look like in the picture attatched.
So than you fill it in
put 25 where the A is and than solve
your answer will be: 5.641895835, round to the nearset tenth and you will get: 5.6 ft
hope this helps!
the radius of wheel of a bicycle is 40 cm. taking pie =3.14, a)find tthe circumference of the wheel.b) find the distance covered by the bicycle in 200 complete revolution of the wheel.please ans this question. i beg you
Answer:
a)=251.2 cm b)=50240 cm
Step-by-step explanation:
a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.
Therefore, C = 2 * 40 * 3.14 = 251.2 cm
b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.
Which process contributes to the formation of tornados? a. water droplets freeze, giving off energy b. the storm begins to rotate around a central eye c. warm air rises, resulting in a decrease in air pressure. d. a cold, dry air mass interacts with a warm, moist air mass
Answer:
D. A cold, dry air mass interacts with a warm, moist air mass.
Step-by-step explanation:
Tornadoes are very scary and kind of cool to look at. They have a great scientific reason behind them which we can easily understand. First, a funnel cloud forms that reaches down to the ground (you probably have seen this in video as a cloud that is heavily densed and circling). Then , warm air rises, resulting in a decrease in air pressure and finally, a cold, dry air mass interacts with a warm, moist air mass.
Answer:C. I think please don't get mad if it's wrong
Step-by-step explanation:
Hope this helps!
Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7?
Answer:
its a on edge
Step-by-step explanation:
what is 20 sqare in math please tell us
Answer:
400
Step-by-step explanation:
20 squared
20x20
400
A semicircle is inscribed in an isosceles triangle with base 16 and height 15 so that the
diameter of the semicircle is contained in the base of the triangle as shown. What is the
radius of the semicircle?
Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059
2. The price of a shirt is 100 dollars. The store manager gives a discount of 50 dollars. A man
and his brother bought 4 shirts and then share the cost with his brother. Write a numerical
expression to represent this situation and then find the price paid by each brother.
Answer:
100 each
Step-by-step explanation:
100 dollars - 50 dollars = 50 dollars
50 dollars × 4 shirts = 200 dollars
200 dollars ÷ 2 person = 100 dollars
each brother paid 100 dollars for 4 shirts
The formula v = square root of 64h gives the velocity v in feet per second of an object that has fallen h feet. find the velocity of an object that has fallen 84 feet. round to the nearest hundredth.
Answer:
22.63
Step-by-step explanation:
v = √64 * h
= √64 * 8
= √64 * √8
= 8 * 2√2
= 16√2 = 22.63
Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?
Answer:
1st Option
Step-by-step explanation:
When we solve the equation for x, we get x ≥ -5
This means that x has to be equal to or greater that -5, so positive values. The arrow would be pointing to the right.
The answer is A. this is in Usa test prep right?
solve for n n + 1 equals 4(n - 8)
Answer:
n = 11
Step-by-step explanation:
Step 1: Distribute
n + 1 = 4n - 32
Step 2: Isolate n
1 = 3n - 32
3n = 33
n = 11
And we have our final answer!
This is my last one please help you need to explain it just tell me the right answer thank you
Answer:
i might be 25
Step-by-step explanation:
Please answer it quickly... i will give brianliest
Q2(i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line “r”.
Answer:
2 and - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y = 6x + 9 ( divide all terms by 3 )
y = 2x + 3 ← in slope- intercept form
with slope m = 2
(i)
Parallel lines have equal slopes, thus
the slope of line t is 2
(ii)
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex], thus
the slope of line r is - [tex]\frac{1}{2}[/tex]
Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be the length of his path to the nearest tenth of a foot?
Answer:
≈37.7 feet
Step-by-step explanation:
I'm assuming he goes diagonally.
We can form a triangle with legs 20 feet and 32 feet.
Using the Pythagorean Theorem, we get:
[tex]20^2+32^2=c^2\\400+1024=c^2\\1424=c^2\\c^2=1424\\c=\sqrt{1424}\\[/tex]
c≈37.7
Answer: 37.7 ft
Step-by-step explanation:
20^2 + 32^2 = C^2 where c squared is the distance of the diagonal distance that he wants to walk.
20^2 +32^2 =c^2
400 +1024 =c^2
1424 = c^2
c= 37.7359 rounded to the nearest tenth of a foot is 37.7
which sets of values belong to the domain and range of a relation
Answer: x values is domain. y values is range
Step-by-step explanation:
The domains of a function is all the allowed x values
The range of the function is the y values that the x input gives you
Simplify: -8y-(x-4x) + 3y
Answer:
-5y+3x
Step-by-step explanation:
-8y-(x-4x) + 3y
= -5y-(x-4x)
= -5y+3x
Answer: -5y+3x
Step-by-step explanation:
A shipment of 24 electric typewriters are rejected if 3 are checked for defects and at least 1 is found to be defective. Find the probability that the shipment will be returned if there are actually 6 typewriters that are defective.
Answer:
You keep them if you test 3 and all pass.
There are 18 good ones and 6 bad (making 24)
Chance of first passing is 18/24
If it passes, there are now one less good and one less total.
Chance of second passing is 17/23
If it passes, there are now one less good and one less total.
Chance of second passing is 16/22
Total is (16 x 17 x 18) / (22 x 23 x 24) = about 0.4 (0.403162055 is you really want to know).
So probability all are ok is 0.4
Thus probability you find at least one bad one is 0.6
Hope this helps you out!
David, Malachy and Paul share some sweets in the ratio 4:3:3. David gets 24 sweets. How many did Paul get?
If David, Malachy and Paul share some sweets in the ratio 4:3:3 then Paul get 7.2 number of sweets
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that David, Malachy and Paul share some sweets in the ratio 4:3:3
All three shared 24 sweets together.
Let x be the number of sweets
4x+3x+3x=24
Add the like terms
10x=24
Divide both sides by 10
x=2.4
Now paul has 3x sweets so 3×2.4=7.2
Hence, Paul get 7.2 number of sweets
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Find the measure of angle x in the figure below: A.) 35° B.) 48° C.) 69° D.) 78°
Answer:
B
Step-by-step explanation:
From supplementary angles, y = 180 - 52 - 59 = 69. From sum of angles in a triangle, x = 180 - 63 - 69 = 48.
Answer:
x = 48
Step-by-step explanation:
First find y
52+y+59 = 180 since they from a straight line
y = 180-59-52
y = 69
Then we know the angles of a triangle add to 180
x+y+63 = 180
x+69+63 = 180
x = 180-69-63
x =48
Please answer quickly! A. There are no errors. All of the expressions are equivalent. B. Expression 1. Sarah can’t apply the Distributive Property if there are three addends. C. Expression 2. Sarah can’t combine -4 and -6. She must combine -4 with 8. D. Expression 3. Sarah applied the Distributive Property but incorrectly multiplied [tex]\frac{1}{2}[/tex] (-6).
Answer:
Option D
Step-by-step explanation:
All the other expressions are correct but in Expression 3 , Sarah incorrectly multiplied 1/2(-6) while destroyed whole of her answer. She forgot to make 3 negative.
Aiden calculated the area of triangle QRS below by finding half the product of 1.5 and 1.1. Triangle Q R S has a base of 5.4 and a height of 1.1. Another side has a length of 1.5. What error did Aiden make? Aiden should have found half the product of 1.1 and 1.2 because the 1.5 line is not a dotted line in the figure. Aiden should have found half the product of 1.1 and 5.4 because the 1.5 line is not perpendicular to the 1.1 line. Aiden should have found half the product of 1.5 and 1.2 because the 1.1 line is not perpendicular to the 1.5 line. Aiden should have found half the product of 1.5 and 5.4 because the 1.1 line is a dotted line and not part of the figure.
Answer:
B
Step-by-step explanation:
Edge 2020
Hope this helps!
Answer:
B) Aiden should have found half the product of 1.1 and 5.4 because the 1.5 line is not perpendicular to the 1.1 line.
Step-by-step explanation:
Edge. 2020
Just make sure you add the additional 0.9 to 4.5 to get the 5.4.
I am really struggling with this question. please help.
Answer:
y = 4/5x - 1
Step-by-step explanation:
Step 1: Find slope
(4+1)/(5-0) = 4/5
Step 2: Find b
-1 = 4/5(0) + b
b = -1
Step 3: Put it all together
y = 4/5x - 1
And we have our equation for the line in slope-intercept form!
Evaluate piecewise functions
Answer:
The answer is 150.
Step-by-step explanation:
Eliminate the second and third piece of the function, because they do not include t= -10 in their range. Now, input t= -10 in the first piece. That will give you f(-10)= (-10)^2 - 5(-10)= 150.
