Answer:
x-3
Step-by-step explanation:
f(x) = 3x - 2
g(x) = 2x + 1,
(f- g)(x) = 3x - 2 - ( 2x+1)
Distribute
= 3x -2 -2x-1
Combine like terms
x-3
Terry is saving up for a bike which costs £403.50 So far he has saved up £265.90 How much more money does he need to be able to get the bike?
Answer:
Cost of bicycle. £403.50
His present savings. £265.90
Amount required. £137.60
Answer:137.60
Step-by-step explanation:
Is (1, 2) a solution of the system y>2x and x+y<3?
Answer:
no
Step-by-step explanation:
Let's check the first statement. 1 > 2 * 2 becomes 1 > 4. This is a false statement so the answer is no.
It is not a solution. 2x=2 and 2 is not bigger than 2 (which is y).
x+y = 1+2=3. # is not bigger than 3.
If the m∠SRW = 85°, what are the measures of ∠VRU and ∠URW?
Answer:
∠VRU = 80°
∠URW = 15°
Step-by-step explanation:
Given that,
∠TRV = ∠SRW ( vertical opposite angle)
2x + 15 = 85
2x = 70
x = 35
So,
∠VRU = 2x + 10
∠VRU = (2×35) + 10
∠VRU = 70 + 10
∠VRU = 80°
∠URW = 180 - ∠VRU - ∠SRW
∠URW = 180 - 85 - 80
∠URW = 15°
Answer:
80 and 15
Step-by-step explanation:
3x2 + 2x - 5 and -4 + 7x2
Answer:
3×2+2x-5
6-5+2x
1+2x
-4+7×2
-4+14
10
Alhondro wants to determine the average shoe size of all of male students in his school
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog Three-fifths milligram of the medicine, which equation relates the weight, w, and the dosage, d? d = StartFraction 1 Over 50 EndFraction w d = three-fifths w d = 18 w d = 50 w
Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.
[tex]\frac{3}{5} =k(30)[/tex]
Divide both sides by 1/30 to get k alone.
[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and
[tex]k=\frac{1}{50}[/tex]
Our model then is
[tex]d=\frac{1}{50}w[/tex]
This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.
Answer:
A
Step-by-step explanation:
Can anybody help me with this and show work ?? :)
Answer: C.
Step-by-step explanation:
If ABCD gets rotated 180ᴼ, you will be able to see the reflection of ABCD to A’B’C’D’. Then just reflect across the x-axis (horizontal) to transform ABCD onto A’B’C’D’.
What are lines called in Riemann's spherical geometry?
O A. segments
O B. great circles
O C. diameters
O D. great lines
Answer:
B
Step-by-step explanation:
Great circles are the largest possible circles that can be drawn around a sphere and are the lines called in Riemann's spherical geometry.
Simon makes 30 cakes He gives 1/5 of the cakes to sali He gives 10% of the cake to Jane What fraction of 30 does he have left
Answer:
7/10 or 0.7 or 70% left.
Step-by-step explanation:
Since he gives 1/5 of the cake to Sali, he gave 1/5 * 30 = 6 cakes away to Sali. Since 10% is 1/10, he gave away 1/10 * 30 = 3 cakes away to Jane. He has a total of 30 - 3 - 6 = 21 cakes left. 21/30 = 7/10, or 0.7, or 70% left.
Answer: 21/30
Explanation this is because 1/5of 30 is 6 and 10 percent of 30 is 3
6+3=9
30-9=21
Therefore Simon has 21/30 cakes left
I hope it helps
Correct answer gets marked as Brainliest!!! (A1) is the question
Answer:
See attached:
Unit Test Review
Active
2
4
5
Six hundred pictures are taken at a photo shoot. Twelve percent of the pictures are black and white. Which equation can be
used to find the number of black and white photos?
600-6 100
12+
62
О
12 x 6 72
100x6600
600-12 50
800-1006
O
600+12 612
O 100+ 12 " 112
g
4:49 PM
6/27/2020
Answer:
The answer is : 0.12 x 600 = 72 or the equivalent : 600 x 12/100 = 72
Your list of possible answers ended up a bit scrambled for me to identify which one it is.
Step-by-step explanation:
The number of black and white pictures can be obtained by multiplying the total number of pictures taken (600) by the decimal form of 12% = 12/100 = 0.12. That is:
Number of B&W pictures = 0.12 x 600 = 72
Solve the pair of simultaneous equation 4x+6y=21 and 7x-3y=3
Answer:
X=1.5,y=2.5
Step-by-step explanation:
By elimination method
U have to make either x or y values equal and then eliminate it
The y values have a common value 12
By multiplying 6×2 and 3×4
2(4x+6y)=(21)2
4(7x-3y)=(3)4
8x+12y=42
+
28x-12y=12
36x=54
X=54/36=1.5
Substitute x with 1.5
Y=2.5
The solution to the simultaneous equation is x = 3/2 and y = 5/2.
What is a system of equations?A system having more than two equations is known as a system of equations
The given pair of equations is:
4x + 6y = 21 (1)
7x - 3y = 3 (2)
Multiply equation (2) by 2 and add into equation (1):
4x + 6y + 14x -6y = 21 + 6
18x = 27
x = 27/18
x = 3/2
Substitute x = 3/2 into equation (1):
4(3/2) + 6y = 21
6 + 6y = 21
6y = 15
y = 15/6
y = 5/2
Hence, the solution to the simultaneous equation is x = 3/2 and y = 5/2.
Learn more about the system of equations:
https://brainly.com/question/24065247
#SPJ2
Find the quotient of `((5+2i)(6-4i))/((2+i))`, and express it in the simplest form.
Answer:
4 ²/3
Step-by-step explanation:
( 5+2) ×( 6-4) / ( 2+1 )
= (7)×(2) / 3
= 4 ²/3
Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A= -2.3t – 7
How fast did Mr. Mole descend?
Answer:
He's descending at a pace of 2.3 meters per minute.
Step-by-step explanation:
This is because the equation shows us the slope or the speed he's going at.
A= -2.3t - 7
A= Altitude
-2.3 = Slope
- 7 is his starting altitude in meters
But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.
And you graph it to see the progression in slope.
quick plz....When √98- √128 is simplified it is equal to:
A,15√2
B, -√30
C. -√2
D. 10√3
Answer:
[tex]-\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{98} -\sqrt{128}[/tex]
[tex]\sqrt{49 \times 2} -\sqrt{64 \times 2}[/tex]
[tex]\sqrt{49} \sqrt{2} -\sqrt{64} \sqrt{2}[/tex]
[tex]7\sqrt{2}-8\sqrt{2}[/tex]
[tex]=-\sqrt{2}[/tex]
How long is 139.5 minutes
Answer:
[tex]\mathrm{2.325 \: hours}[/tex]
Step-by-step explanation:
[tex]\frac{139.5}{60}=2.325[/tex]
[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]
Find 310% of 150. a number blank
Answer:
465
Step-by-step explanation:
Of means multiply
310% * 150
Change to decimal form
3.10 * 150
465
Answer:
465
Step-by-step explanation:
1 percent of 150 is 1.5.
Multiply 1.5 by 310 to 465
The cost of 3 cans of pineapple at Superway Store is $2.25, and the cost of 6
cans of the same kind of pineapple is $4.80 at Grocery Giant. Which store
has the better price for the pineapple?
Answer:
Grocery Giant has the better price for the pineapple.
Step-by-step explanation:
Superway Store
3 cans of pineapple is 2.25
Grocery Giant
6 cans of pineapple is 4.80
Superway Store 6 cans is 2.25 + 2.25 = 4.50
Which means that Superway Store is cheaper by 30 cents
Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.
Is this a reasonable answer?
Answer:
yes
Step-by-step explanation:
15.3-7.9=7.4
Miguel can use all or part of his $25 gift card to make a music purchase. Each song costs $1.50, and there is a $1.00 per account activation fee. Which inequalities can represent this situation if m is the number of songs he can buy? Select two options. 1 + 1.5 m less-than-or-equal-to 25 1 + 1.5 m greater-than 25 25 greater-than 1 + 1.5 m 1 + 1.5 m less-than 25 25 greater-than-or-equal-to 1 + 1.5 m
Answer:
1 + 1.5 m less-than-or-equal-to 25
25 greater-than-or-equal-to 1 + 1.5 m
Step-by-step explanation:
Available amount $25
Cost of a song= $1.5
One of fee= $1
Number of songs= m
25 ≥ 1+1.5mor
1 + 1.5m ≤ 25is the required inequality
-----------
Correct answer choices:
1 + 1.5 m less-than-or-equal-to 25 25 greater-than-or-equal-to 1 + 1.5 mAnswer:
1.00+1.50m ≤ 25 (1+1.5 m less than or equal to 25)
OR
25 ≥ 1.00+1.50m (25 greater than or equal to 1+1.5m)
Step-by-step explanation:
Activation Fee = $1.00
Cost of each song = $1.50
Since we are given that he can buy m songs .
So, Cost of m songs = $1.50 m
So, total cost = Activation charge + Cost of m songs = $1.00+$1.50 m
Since we are also given that Miguel can use all or part of his $25 gift card to make a music purchase.
So, the inequality becomes :
=> 1.00 + 1.50m ≤ 25
=> 1.50m ≤ 25-1
=> 1.50m ≤ 25
=> m ≤ 25/1.50
=> m ≤ 16
Hence the inequality that can represent the situation is
1.00+1.50m ≤ 25
OR
25 ≥ 1.00+1.50m
Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answer:B
Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero
Answer: I believe it’s B
Step-by-step explanation:
An AP has 15 terms and a common
difference of - 3. Find its first and last terms
if its sum is
b 15
d -120
a 120
Answer:
Step-by-step explanation:
Sum =n/2{2a+(n-1)d
When sum=15 and d=-3
15=15/2{2a+(15-1)-3}
15=7.5{2a+(14)-3}
15=7.5{2a+(-42)}
15=7.5(2a-42)
15=15a-315
15+315=15a
330=15a
a=330/15
=22
a=22
Last term=a+(n-1)d
=22+(15-1)-3
=22+(14)-3
=22-42
= -20
When sum=120
Sum=n/2{2a+(n-1)d
120=15/2{2a+(15-1}-3
120=7.5{2a+(14)-3}
120=7.5{2a+(-42)}
120=7.5(2a-42)
120=15a-315
120+315=15a
435=15a
a=435/15
=29
a=29
Last term=a+(n-1)d
=29+(15-1)-3
=29+(14)-3
=29-42
= -13
When sum= -120
Sum=n/2{2a+(n-1)d
-120=15/2{2a+(15-1)-3
-120=7.5{2a+(14)-3}
-120=7.5{2a+(-42)}
-120=7.5(2a-42)
-120=15a-315
-120+315=15a
195=15a
a=195/15
a=13
Last term=a+(n-1)d
=13+(15-1)-3
=13-42
= -29
*Will mark brainliest*
Answer:
B
Step-by-step explanation:
The perimeters of the square and the regular pentagon are equal. A square with side lengths of 3x + 3. A pentagon with side lengths of x + 8.
Answer:
60
Step-by-step explanation:
Since the perimeters are equal then:
(3x + 3) * 4 = (x + 8) * 5
12x + 12 = 5x + 40
7x = 28
x =4
Perimeter of square = (3*4 + 3) * 4 =
(12 + 3) * 4 = 60
Perimeter of pentagon = (4 + 8) * 5 =
(12) * 5 = 60
The answer is 60
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.
h=-16(t-) + 49,
Does the marshmallow reach its maximum height?
I need help pls i have to be done by 2
Answer:
ASA postulate: 1 side, 2 angles equal
Step-by-step explanation:
ASA postulate: 1 side, 2 angles equal
Which linear inequality is graphed with y > –x – 2 to create the given solution set? y > x + 1 y x – 1 y < x + 1
Answer:
D
Step-by-step explanation:
I took the test, dont listen to the person above me:)
Answer:
y<x+1
Step-by-step explanation:
1) a × a 2) a × a × a 3) b × b × b × b 4) a × a × b × b 5) a × a × a × b × b 6) a × a × b × a 7) a × b × a × a × b 8) b × a × a × a × b
Answer:
1) [tex]a^2[/tex]
2) [tex]a^3[/tex]
3) [tex]b^4[/tex]
4) [tex]a^2b^2[/tex]
5) [tex]a^3b^2[/tex]
6) [tex]a^3b[/tex]
7) [tex]a^3b^2[/tex]
8) [tex]a^3b^2[/tex]
Step-by-step explanation:
1) a × a = [tex]a^2[/tex]
2) a × a × a = [tex]a^3[/tex]
3) b × b × b × b = [tex]b^4[/tex]
4) a × a × b × b = [tex]a^2b^2[/tex]
5) a × a × a × b × b = [tex]a^3b^2[/tex]
6) a × a × b × a = [tex]a^3b[/tex]
7) a × b × a × a × b = [tex]a^3b^2[/tex]
8) b × a × a × a × b = [tex]a^3b^2[/tex]
Answer:
What is the question?
Step-by-step explanation:
Can somebody help me with this ?? :)
Answer:
A.
Step-by-step explanation:
We have AC = DF, ∠A =∠D, so
we need AB = DE.
We get SAS congruence.