Answer:
x = 12, y = 20
Step-by-step explanation:
Given
4a - 2b
= 4[tex]\left[\begin{array}{ccc}4\\7\\\end{array}\right][/tex] - 2[tex]\left[\begin{array}{ccc}2\\4\\\end{array}\right][/tex] ← multiply each component by the scalar
= [tex]\left[\begin{array}{ccc}4(4)\\4(7)\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}2(2)\\2(4)\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}16\\28\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4\\8\\\end{array}\right][/tex] ← subtract corresponding components
= [tex]\left[\begin{array}{ccc}16-4\\28-8\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}12\\20\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]
with x = 12 and y = 20
Explain how to solve the equation 21 = m +14. What is the value of m?
Enter your explanation and answer in the space provided.
Answer:
m = 7
Step-by-step explanation:
21 = m + 14
21 - 14 = m
m = 7
It takes Serina 0.25 hours to drive to school. Her route is 16 km long. What is Serina’s average speed on her drive to school?
Answer:
64 km/hr
Step-by-step explanation:
The zoo is building a new hippo pool that will
measure 55 feet by 75 feet. What is the area of the
poole
Step-by-step explanation:
We know to find the area of a rectangle we need to multiply the length times the height.
In other words,
[tex]a = l \times w[/tex]
We know our length is 75 and our height is 55, so lets multiply it.
[tex]75 \times 55 = 4125[/tex]
So our final answer is:
4125 sq. ft
Hope this Helps!:)
Camille's birthday party will cost $32 if she invites 16 guests. How many guests can there be, at most, if Camille can afford to spend a total of $48 on her birthday party? Assume the relationship is directly proportional.
Answer:
I think its gon be 24 guests
Answer:
24 people can be there at most :)
Step-by-step explanation:
$32 divided by 16(guests) is $2
so its $2 per person
so 48$ divided by $2 is 24
So Camille can invite 24 people at the cost of 48$ being her total at most :)
A jacket is reduced by 12% to £66 in a sale.
Find the original price.
Answer:
£75
Step-by-step explanation:
100-12=88
88÷88=1%
66÷88=0.75
1%=0.75
times by 100
100%=£75
5x+4y=16 -2x-4y=-4
Show your step by step process.
Solve the system of linear equations.
Answer:
x=1 and y= 5[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
To solve this, lets take the first equation and find the x value.
Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.
5x+4y=16
-5x -5x
4y=-5x+16
÷4 ÷4 ÷4
y=[tex]\frac{-5}{4}[/tex]+4
or
y=-1[tex]\frac{1}{4}[/tex]+4
or
y= 5[tex]\frac{1}{4}[/tex]
Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:
5x+4([tex]\frac{-5}{4}[/tex]+4)=16
5x-5+16=16
5x+11=16
-11 -11
5x=5
÷5 ÷5
x=1 and y= 5[tex]\frac{1}{4}[/tex]
HELP I WILL GIVE LOTS OF POINTS FOR IT
Answer:
(1,3)
Step-by-step explanation:
because that is where they intersect
Answer:
y=4x-1y=−x+4
Step-by-step explanation:
The top one I need help with
A number n increased by 4 is -19
Answer:
n=23
Step-by-step explanation:
4-23=19
meme
Answer:
-23
Step-by-step explanation:
-23+4= -19
NEED HELP ASAP
A quarterback’s pass-completion percentage is 70%. Eight of his passes are randomly selected. What is the probability that 6 of them were successful passes?
0.06
0.08
0.12
0.30
Answer:0.08
The answer is b i always got your back
Step-by-step explanation:
Answer:
.30
Step-by-step explanation:
find the product of (x-3)^2
Answer:
x^2 - 6x + 9
Step-by-step explanation:
(x-3)^2
(x-3)(x-3)
x^2 -3x -3x + 9
x^2 - 6x + 9
^2 means (x - 3) times itself twice.
(x - 3)(x - 3) multiplying polynomials- Firsts, Outs, Inners, Lasts (FOIL)
Firsts (x* x) Outs (x*-3) Inners (-3 * x) Lasts (-3*-3)
xx -3x -3x +9 Combine like terms.
-3x -3x Adding/subtracting integers- same signs means you add
and keep the sign.
x^2 -6x + 9
The permeters of the triangles shown are equal. Find the side lengths of each triangle
AB=
BC =
AC=
PQ=
QR=
PR=
Answer:
AB = 51
BC = 50
AC = 42
PQ = 42
QR = 42
PR = 59
Step-by-step explanation:
Perimeter of ∆ ABC = Perimeter of ∆ PQR
3x + 9 + 3x + 8 + 3x = 3x + 3x + 4x + 3
9x + 17 = 10x + 3
17 - 3 = 10x - 9x
14 = x
.: x = 14
AB = 3x +9 = 3×14+9 = 42+9 = 51
BC = 3x +8 = 3×14+8 = 42+8 = 50
AC = 3x = 3×14 = 42
PQ = 3x = 3×14 = 42
QR = 3x = 3×14 = 42
PR = 4x +3 = 4×14+3 = 56+3 = 59
5. Solve the system, show all work. (3 points)
+
s y=x+7
y = 6x + 2
Solution:
How do you solve this
Step-by-step explanation:
y=x+7........eqni
y=6x+2.....eqnii
putting the value of x in eqnii
y=6x+2
or, x+7=6x+2
or, 7-2=6x-x
or 5= 5x
hence,x=1
sbstutuung the value of x in eqni,
y= x+7
=1+7
=8
hence the value of y is 8
Please Help. Im stuck on this question and i cant figure it out
Answer:
Where is it?
Step-by-step explanation:
Where is the question exactly?
Can I get help on this math problem makes makes no sense
pls help me i only have 5 minutes
Give instructions about sound, lighting etc
102 = 1.2 x w
what is w?
Answer:
122.4
Step-by-step explanation:
Just Divide.
Answer:
85
Step-by-step explanation:
1x2 x 85 = 102
In a sale all the prices are reduced by 30%. Calculate the sale price of the following items
a bike that cost £250
b. a pair of gloves that cost £3.20
Answer:
A: 26.89
B: 0.96
Step-by-step explanation:
70 percent of 250 is 26.89. 70 percent out of 3.20 is 0.96.
Ali has invited 18 adults and 6 children to a cookout.
Mo, Ali’s best friend, suggests that Ali seat an equal number of adults and an equal number of children at each table.
What is the greatest number of tables Ali could use? How many adults and how many children would be seated at each table? Explain.
Answer:
Ali could use 6 tables. There would be 3 adults
and 1 child seated at each table.
Step-by-step explanation:
GCF to find the number of tables:
18: 1, 2, 3, 6 , 9, 18;
6: 1, 2, 3, 6 .
7. What is the slope of the line that passes through the points (14, -18) and (5, -12)?
Answer:
slope =[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:
[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]
Thus, the slope is [tex]-\frac{2}{3}[/tex].
-7m²-10m+17
common factor
Answer:
Greatest common factor of 17
So, the prime factors of 45 are 3, 3, and 5. The Greatest Common Factor is the greatest number that is common (that is, in both lists). It is 17. Since 17 is a factor of itself and of 51 -- which is 3 x 17 -- then the greatest possible common factor is 17!
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
- (m - 1 )( 7m + 17 )
simplify this equation: 2^-4 (2√3)^2
Answer:
download photo math you can take pictures of math problems and will solve them.
How do solve for x in supplementary ,complementary and vertical angles
PLEASE GUYSSSSSSSSSSSSSSSSS
Answer: (hopefully I didn't make a mistake :D )
y=-3+21
Step-by-step explanation: (I can't sketch the graph for you)
First you need to find the slope of the line passing through the points (5,4) and (-7,0). This can be done using the point-slope form of a line.
Point 1: (-7,0)
Point 2: (5,4)
y2-y1=m(x2-x1)
m= (y2-y1)/(x2-x1) = (4-0)/(5-(-7)) = 4/12= 1/3
Now, when two lines are perpendicular, they are negative recopricols. So the slope of the line would be -3.
Since the equation of the line you are trying to find passes through the point (4,9), using point-slope formula again and solve for y.
y-9=-3(x-4)
y= -3x+12+9
y=-3x+21
What is the solution set for –1 ≤ –2f + 1 ≤ 9?
it is 212.5°C outside when the temperature starts increasing by 2.5°C each hour. How long will it take for the temperature to reach 25°C?
Answer: 75 hours
Step-by-step explanation:
Assuming you meant decreasing... you find out the span between 212.5 and 25 which is 187.5 and then divide it by 2.5 (which is the change)
if you could anwser the second question that would be great caus e i only get to do this proble once :) no explanation needed
Angle 1 and 2 are equal because of correspondence angle
so , (78-2x) = (89-3x)
x = 89 - 78
x = 11
hence angle 1 = ( 78 - 2*11) = 56
and angle 2 = ( 89-3*11) = 56
So, both of angle is 56
hope it help and your day will full of happiness
Evaluate the algebraic expression x^2 - 20 for x = 7 and for x = 9
Answer:
29
61
Step-by-step explanation:
x^2 - 20
x = 7 and 9
Evaluate
___________
We know the values of x, let's substitute them with the x in the problem :
(7)^2 - 20
49 - 20
29
(9)^2 - 20
81 - 20
61
PLEASEEEE HELP ME!!
The area of a rectangular poster board can be represented by the expression
64x²y. If the width is 16xy, which expression represents the length of the poster
board?
A = length * width
Answer:
Step-by-step explanation:
A = length * width
Length = A ÷ width
[tex]= \frac{64x^{2}y}{16xy}\\\\= 4*x^{2-1}*y^{1-1}\\\\= 4x^{1}*y^{0}\\\\= 4x*1\\=4x[/tex]
If f(1) = 9 and f(n) = 4f(n − 1) then find the value of f(4).
Answer:
576
Step-by-step explanation:
f(2) = 4f(1) = 4*9 = 36
f(3) = 4f(2) = 4 * 36 = 144
f(3) = 4f(3) = 4 * 144 = 576