Answer:
3a² + 13ab - 10b²
Step-by-step explanation:
(3a - 2b)(a + 5b)
Each term in each bracket multiplies each term in the other bracket.
3a(a + 5b) -2b(a + 5b)
3a² + 15ab - 2ab - 10b²
3a² + 13ab - 10b²
12
Jack burned 150 calories on the elliptical and
210 calories on the treadmill. What is the ratio
of calories burned on the elliptical to calories
burned on the treadmill? Write the ratio on
simplest form.
please help !!
Answer:
5:7
Step-by-step explanation:
150:210
50:70
5:7
(Ratio has been simplified)
Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. Long and 8 ft. High. Two walls each have one door, and both doors measure 3 ft. By 7 ft. One wall has a window that is 3 ft. By 5 ft. The doors and window do not have to be painted. A gallon of paint can cover 300 ft.2. A hired painter claims that he will need three gallons to paint the one room. Is the estimate correct?
Answer:
The estimate is not correct?
Step-by-step explanation:
Given data
Area of wall = 18*8
=144ft^2
=4*144
=576ft^2
Area of doors
=3*7
=21ft^2
=2*21
=42ft^2
Area of window
=3*5
=15ft^2
Hence the total surface area of the room
=576-42-15
=519ft^2
The amount of paint needed= 519/300= 1.73
Approximately 2 gallons
We are told that 1 gallon will cover 300ft^2
Hence 3 gallons will cover 300*3= 900ft^2
Therefore the painter overestimated the amount of paint needed
As 2 gallons will do the job
i don't get Benchmark question #4
Answer:
C
Step-by-step explanation:
4 quartz per gallon
4 x 22 = 88 Containers
Answer:
c
Step-by-step explanation:
What is the value of x in the equation below?
X + ¼ = - ⅝
Answer:
Step-by-step explanation:
Subtract 1/4 from both sides. (Change 1/4 to 2/8 so that it can be subtracted from 5/8)
X+ 1/4 = -5/8
X = -5/8 - 2/8
X= -7/8
What would be the first step in simplifying the expression 27 ÷ (4 + 5)⋅6?
Select one:
A. Divide the 27 by the 4.
B. Multiply the 5 and the 6.
C. Add the 4 and the 5.
D. Divide the 27 by the 6.
Answer:
Step-by-step explanation:
40+40×0+1
a) 1
b)41
c)82
??
Answer:
the law of bodmas multiplication first so
40+(40*0)+1
40+1
41
i need help, lmk if you can do them..
Answer:
25) cos X = 12/37 cos X = 0.3243 X = 71.08 degrees
26) tan C = 32/24 tan C = 1.3333 C = 53.13 degrees
27) sin Z = 15/25 sin Z = 0.6 Z = 36.87 degrees
28) sin A = 32/40 sin A = 0.8 A = 53.13 degrees
29) sin Z = 40/50 sin Z = 0.8 Z = 53.13 degrees
Answer:
25) 0.3243
26) 1.3333
27) 0.6000
28) 0.8000
29) 0.8000
Step-by-step explanation:
sin = opp/hyp
cos = adj/hyp
tan = opp/adj
25) cos X = 12/37 = 0.324324324
26) tan C = 32/24 = 1.33333333
27) sin Z = 15/25 = 0.6
28) sin A = 32/40 = 0.8
29) sin Z = 40/50 = 0.8
Find the slope of (3,-9) (-4, 5)
Answer:
Check pdf
Step-by-step explanation:
Michael takes a sip of water every 20 minutes while playing soccer. He took his first sip at 3:05. When did he take his sixth sip?
Answer:
Michael took his 6th sip at 4 : 05
Step-by-step explanation:
Duration in which Michael takes a sip of water = 20 minutes
Therefore, he will take his sixth sip after (20 × 6) = 120 minutes Or after 2 hours
If he takes first sip of water at 3 : 05
Then he will take his sixth sip at ( 3 : 05 + 2 : 00)
Time at his sixth sip = 5 : 05
A number line going from 12 to 20. An open circle is at 17. Everything to the right of the circle is shaded. Which inequality does the graph represent? x > 17 x <17 x Less-than-or-equal-to 17 x Greater-than-or-equal-to 17
Answer:
x > 17
Step-by-step explanation:
x > 17
The open circle means that it is not equal to 17. The shaded area to the right represents that it can be larger than or greater than 17.
Answer:
x > 17 your welcome
Step-by-step explanation:
i don't know i just know it
On the bookshelf there are 16 paper bags and 20 hardback books what is the ratio of the hardbacks to paperbacks
slove: x = 3y - 7
4x + 5y =- 11
show steps
Answer:
1.1 Solve x-3y+7 = 0
recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x-3y+7 = 0 and calculate its properties
Step-by-step explanation:
The anser is in the screenshots
Answer: Solution: (-4, 1)
Step-by-step explanation:
x = 3y - 7
4x + 5y = -11
Substitute x for 3y - 7
4x + 5y = -11
4 (3y - 7) + 5y = -11
12y - 28 + 5y = -11
17y - 28 = -11
Add 28 to both sides
17y = 17
y = 1
x = 3y - 7
x = 3(1) - 7
x = 3 - 7
x = -4
Solution: (-4, 1)
Please help this is timed
Answer:
The last one (f) hope u still have time
25 points to 50 points find the percent of change
Answer:
The percent of change 200%.
Hope that helps！
Step-by-step explanation:
Answer:
Its a 200% change i believe, hope you have a nice day!
please help
"A power line must be laid to connect two towns, A and B. They are situated on opposite sides of a broad river that is 1 kilometre wide.
Town B is 5 kilometres down the river from a point C, directly across the river from town A, as shown on the diagram ATTACHED.
The cost of installing the power line is estimated at $20 000 per kilometre under water and $10 000 per kilometre on dry land. The proposed budget to install the lines is $64 000."
Where should the powerlines meet the bank of the river to have the lowest cost??
Answer:
hope this helps
Step-by-step explanation:
When a small group of farmers in eastern China looked at their watermelon fields one spring morning in 2011, they had quite a shock. The fields were not full of a bumper crop like that shown in this picture. Instead, the fields were full of shattered watermelons. The melons looked like they had been blown apart.
A row of watermelons in a field.
Field of ripe watermelons
The problem was limited to about 45 acres (18 hectare) of melons near Danyang. Experts concluded a chemical called forchlorfenuron was at fault. This chemical makes fruits and vegetables grow faster and larger than normal. In fact, they can grow 20 percent bigger!
China’s Watermelon Crop
China grows more watermelons than any other country. All parts of the watermelon are used in traditional Chinese medicine. Farmers see benefits in increasing the size of each melon. Bigger melons bring bigger profits. Melons that grow faster also get to market more quickly. As a result, several farmers had treated their watermelon crop. But the melons grew much faster than anyone expected—in fact, so fast that they burst apart.
Scientists who studied the situation stated that several important things went wrong. First, the type of watermelon these farmers grow is fairly thin-skinned. Under the best conditions, it would be more likely than other types of melon to split. Adding the growth stimulant made that result even more likely.
Watermelons are also more likely to split when the amount of water they receive fluctuates. Watermelons are 92 percent water. During drier weather, their skin tightens. If a heavy rain follows, the plant must absorb a lot of water very fast. The result is cracking. In this case, farmers applied the chemical before a period of heavy rain. The pressure from the water plus the growth stimulant caused the melons to burst.
Chemical Use—Good and Bad
Farmers use many chemicals on crops. That is especially true in a country like China where many people make a living as farmers, and where agriculture is an important part of the economy. The chemical used on the watermelons was a growth stimulant. It makes each acre more productive. Farmers also use pesticides. These chemicals kill pests such as insects or rodents that destroy crops. They use other chemicals to control weeds or kill organisms that spread disease.
Much of China’s farmland has been used for a long time. Fertilizers are needed to add nutrients to soil that years of use have pulled out. China’s farmers also raise livestock and poultry under conditions where many animals are crowded together. Antibiotics are widely used to control the spread of disease.
The goal of heavy chemical use is to boost farm productivity. In fact, China is the world’s largest user of agricultural chemicals. It uses 30 percent of the world total on just 9 percent of the world’s farmland. They do help China produce more food. But chemicals can also cause problems—and not just exploding watermelons.
Some chemicals can be harmful to people or the environment. Most of China’s farms are small—fewer than 5 acres (2 hectares). Studies show that small farms are more likely to use chemicals inefficiently. They may use them in way that can be harmful to the environment. Small farms are also less likely to use innovations in technology that reduce the need for chemicals.
Still, China knows the harm these chemicals are doing to the land. It has set a goal of no further growth in the use of these chemicals by 2020. That means farmers will have to cut back on the chemicals they spray onto their crops. And that should also mean no more exploding watermelons.
two equialent ration of 3:8
Answer:
1/2 3/4 5/6
Step-by-step explanation:
56565476544356754345676543265432
Answer:
6/16
Step-by-step explanation:
What is the equation of the line with a slope of 2 through (-4, 6) in point-slope form?
O y = 2x + 14
Oy-6 = 2 (x +4)
Oy= 2x – 14
Oy+6 = 2 (x – 4)
Answer:
y - 6 = 2(x + 4)
Step-by-step explanation:
Point slope form is y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex]).
[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that they give you in the problem, which is (-4, 6), and m is the slope, which is 2.
When you plug everything in, you should get
y - 6 = 2(x + 4).
Which rational number is NOT greater than point A?
Step-by-step explanation:
) Every positive rational number is greater than 0.
(ii) Every negative rational number is less than 0.
(iii) Every positive rational number is greater than every negative rational number.
(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left.
(v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right
A football jersey that originally sells for $75 is on sale for 25% off the original price. What is the SALE PRICE of the football jersey? *
$18.75
$74.75
$56.25
$50.00
Answer:
Step-by-step explanation:
All you do is multiply 75 x .25 = 18.75
Subtract 75 - 18.75 = $56.25
pls help me with this question
Answer:
Step-by-step explanation:
3x and 8x
Help me please
Which of the following best describes π?
A. The ratio of the radius of a circle to its diameter
B. The ratio of the circumference of a circle to its radius
C. The ration of the circumference of a circle to its diameter
D. The ratio of the diameter of a circle to its radius
Answer:
Step-by-step explanation:
The ratio of the circumference to its diameter.
the proportion can be written this way
Circumference / diameter = pi / 1
FOURTY POINTS please help with linear
Answer:
y=x is the equation also represents that relationship.
Answer:
[tex]y=x^{2}[/tex]
Step-by-step explanation:
This is a quadratic function. 2x2=4, (-2)x(-2)=4, (-1)x(-1)=1, and 1x1=1. So, the function represented by the graph is y=[tex]x^{2}[/tex]
What is the measure of
a) 66°
b) 33°
c) 228°
d) 114°
Answer:
the answer is D your welcome
25. Write the elements of the given set A A= { x|x is a square number less than 5}
1) 2
2) 4
3) 1
Answer:
A = (1, 4)
Step-by-step explanation:
Given :
Square numbers include : 1², 2², 3², 4²,...
x|x square numbers less than 5
1² = 1
2² = 4
3² = 9 (not applicable)
Square numbers less than 5 are ; 1, 4
Hence,
Set A = (1, 4) where, x|x square numbers less than 5
A = (1, 4)
hiii help pls! tysmmm!
. CDEF is a trapezium
. ABCF is a rectangle
. BD = 9cm
. AB = 6cm
. EF = 3cm
. perimeter of ABCF = 20cm
9514 1404 393
Answer:
24 cm²
Step-by-step explanation:
To find the area of the trapezium, we must know the length CD. That means we must know the length BC. Fortunately, the perimeter of ABCF is given, so we have ...
P = 2(AB +BC)
BC = (P/2) -AB = (20 cm)/2 - 6 cm = 4 cm
Then CD is ...
CD = BD -BC = 9 cm -4 cm = 5 cm
The area of the trapezium is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)(5 cm + 3 cm)(6 cm) = 24 cm²
The area of trapezium CDEF is 24 cm².
What is the value of x?
3
6
8
4
I believe x=4
and the y=3
Answer:
x = 4
y = 3
Step-by-step explanation:
2 × 4 = 8
8 + 10 = 18
2 × 3 = 6
6 + 4 = 10
Solve the equation 2 = -6 – 20x for x.
Answer:
x = - 2/5
Step-by-step explanation:
1.) add six on both sides, the six on the right will cancel out
2.) divide both sides by -20
3.) this will cancel the -20 on the right out which will give your answer for x on the left side
therefore, x should equal - 2 / 5 once simplified
Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function, and rank the functions based on their axis of symmetry (from smallest to largest).
9514 1404 393
Answer:
f, h, g
Step-by-step explanation:
The axis of symmetry for a vertically-opening parabola is the line ...
x = constant
where the constant is the x-coordinate of the vertex.
__
h(x)
The equation of f(x) is given in vertex form ...
f(x) = a(x -h)² +k . . . . . vertex: (h, k)
where (h, k) = (-4, 1).
The axis of symmetry of f(x) is x = -4.
__
g(x)
The equation of g(x) is given in standard form ...
g(x) = ax² +bx +c
The line of symmetry for this parabola is ...
x = -b/(2a) = -(-16)/(2(2)) = 16/4 = 4
The axis of symmetry of g(x) is x = 4.
__
h(x)
The x-coordinate of the vertex can be read from the graph:
x = 1
The axis of symmetry of h(x) is x = 1.
__
From smallest to largest, the rank is f(x), h(x), g(x).
James ran 3 kilometers after school. How many meters did James run?
Answer:
3000meters
Step-by-step explanation:
3×1000= 3000
Answer: 3000 Meters
Step-by-step explanation:
There are 1000 meters in a kilometer.
Multiply that by 3 and get 3000