Answer:
The answer is 4.75
Step-by-step explanation:
Since six months is 28.50 then 1 month is equal to x
28.50: 6 months
x : 1 month
After this you cross multiple so u divide by 6 both side to get 4.75
6x/6: 28.50/6
x=4.75
find the matrices of
[tex]\huge{\sf \left[{x-2y\atop 6x-2z}\:\:\:{4y-3\atop 2y-z}\right]=\left[{-3\atop 4}\:\:\:{5\atop 3}\right]}[/tex]
Creating equations
[tex]\\ \sf\longmapsto x-2y=-3\dots(1)[/tex]
[tex]\\ \sf\longmapsto 4y-3=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 6x-2z=4\dots(3)[/tex]
[tex]\\ \sf\longmapsto 2y-z=3\dots(3)[/tex]
From eq(2)[tex]\\ \sf\longmapsto 4y-3=5[/tex]
[tex]\\ \sf\longmapsto 4y=5+3[/tex]
[tex]\\ \sf\longmapsto 4y=8[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto y=2[/tex]
Put the value in eq(1)[tex]\\ \sf\longmapsto x-2y=-3[/tex]
[tex]\\ \sf\longmapsto x=-3+2y[/tex]
[tex]\\ \sf\longmapsto x=-3+2(2)[/tex]
[tex]\\ \sf\longmapsto x=-3+4[/tex]
[tex]\\ \bf\longmapsto x=1[/tex]
Put the value in eq(4)[tex]\\ \sf\longmapsto 2y-z=3[/tex]
[tex]\\ \sf\longmapsto z=2y-3[/tex]
[tex]\\ \sf\longmapsto z=2(2)-3[/tex]
[tex]\\ \sf\longmapsto z=4-3[/tex]
[tex]\\ \bf\longmapsto z=1[/tex]
Use the diagram to the right to name the following.
a) A line containing point F.
b) Another name for line k.
c) A plane containing point A.
d) An example of three non- collinear points.
e) The intersection of plane M and line k.
a) A line containing point F-DF
b) Another name for line k-BC
c) A plane containing point A-M
d) An example of three non- collinear points.-(B,A)
e) The intersection of plane M and line k-C
Help anyone can help me do the question,I will mark brainlest.
Step-by-step explanation:
h) p^2+b^2=h^2
5^2+x^2=8^2
25+x^2=64
x^2=64-25
x^2=39
x=√39
x=6.244998
We know that
p² + b² = h²
Part a
5² + x² = 8²
x² = 64 - 25
x = √39
Part B
4² + 6² = x²
16+36 = x²
√52 = x
√2×2×13 = x
x = 2√13
Must click thanks and mark brainliest
what is the area in square inches of the shape below. 3.9 in. 9.6 in. HELP QUICK
[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: base \: \times \: height }}}}}\end{gathered}[/tex]
Base = 9.6 inHeight = 3.9 in[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: 9.6 \:in \: \times \: 3.9 \: in[/tex]
[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: 37.44 \: {inches}^{2} [/tex]
[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{ \cancel2} \: \times \: \cancel{37.44} \: {inches}^{2} \: \: ^{\bf{\red{ 18.72 \: {inches}^{2} }}} [/tex]
[tex] \rm \large \longrightarrow \: Area \: of \: triangle \: = \: 18.72 \: {inches}^{2} [/tex]
I needed help on this
Answer:
Step-by-step explanation:
Let Freda's sum = x
Donnie has 3/4 x
He spends 63 dollars. His sum is now
3/4x - 63
Now the equation looks like this
6(3/4x - 63) = x Remove the brackets
6*3/4 x - 378 =x
6 * 3/4 = 4 1/2
4 1/2 x - 378 = x Add 378 to both sides
4 1/2 x = x + 378 Subtract x from both sides
3.5 x = 378 Divide by 3.5
x = 378 /3.5
x = 108
Since x = 108, that's how much Freda had. (She spent nothing).
A plumber gave an estimate for the renovation of a kitchen. Her hourly rate is $55 per hour and the parts for the renovation will cost $234.
If her total estimate is $509.00, how long does she expect the job to take?
hours
a.6 hours
b.7 hours
c.4 hours
d.5 hours
Answer:
12 houra
Step-by-step explanation:
404-80=27x
324=27x
x=324/27
x=12 hours.
The job is expected to take 5 hours, Option d.
What is unitary method?
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
According to the given problem,
Cost for parts = $234
Total estimate = $509.00
Amount left from total estimate after spending for parts = $( 509 - 234 )
= $275
Hourly rate for renovation = $55
Total hours = [tex]\frac{275}{55}[/tex] hours
= 5 hours.
Hence, we can conclude that she with $275, 5 hours of job can be afforded.
Learn more about unitary method here: https://brainly.com/question/19423643
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PLEASE HELP I GIVE BRAINLIEST!! Find the value of x
Answer: x = 24
Step-by-step explanation:
There are two triangles here; all angles in a triangle add up to 180, so in the first triangle we have two angles.
We add 94 and 41 together, and this gives us 135.
Now, we find the third angle of this triangle and the angle of the inner triangle by doing 180 - 135.
This gives us 45, and now we can calculate for x using the same method we used above.
111 + 45 = 156
180 - 156 = 24
Thus, x is equal to 24 degrees.
Opal can make 9 beaded bracelets per hour, and Lynette can make 6 per hour. Together how many hours should it take them to make 45 beaded bracelets?
Answer:
I'm pretty sure it is 3 hours.
Step-by-step explanation:
Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D
help me guys it's important
Answer:
Does the answer help you?
Answer:
36 cm³
Step-by-step explanation:
Volume of R1 :
length = 5 cm
Width = 2 cm
Height = 2 cm
Volume = 5 * 2 * 2 = 20 cm³
Volume of R2:
length = 4 cm
Width = 2 cm
Height = 2 cm
Volume = 4 * 2 * 2 = 16 cm³
Volume of the figure = 20 + 16 = 36 cm³
Store I offers a pair of shoes Karen wants for 25% off their regular price of $12.00. Store J sells the same pair of shoes for $10, before a $2.00 mail-in rebate. Where should Karen purchase her shoes? Explain your reasoning. (Be sure to consider the cost of postage, as well as the time and effort required to mail in the rebate request in your response.)
Store I 12 x 0.25=$3 12-3=9
Store j
Answer:
This is already solved half-way.
Store I, 25% off:
$12 - 25% = $12 * (1 - 0.25) = $12 * 075 = $9Store J, $2 off:
$10 - $2 = $8A pair of shoes cost $9 in store I and $8 in store J.
Karen should purchase her shoes from the store J as it costs $1 less.
The discount:-
[tex]\\ \sf\longmapsto 12\times 25\%[/tex]
[tex]\\ \sf\longmapsto 12\times \dfrac{25}{100}[/tex]
[tex]\\ \sf\longmapsto \$ 3[/tex]
Cost of shoe
[tex]\\ \sf\longmapsto 12-3[/tex]
[tex]\\ \sf\longmapsto \$ 9[/tex]
In store J:-The Cost of shoe :-
[tex]\\ \sf\longmapsto 10-2[/tex]
[tex]\\ \sf\longmapsto \$ 8[/tex]
Karen should purchase shoes from store J
Find the length of the third side. If necessary, write it in simplest radical form.
Answer:
a = sqrt(7)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
a^2 +3^2 = 4^2
a^2 +9 = 16
a^2 = 16-9
a^2 = 7
Taking the square root
a = sqrt(7)
For the parabola y = (x+14)^2 -4, The value of the y coordinate of the vertex is?
Answer:
-4
Step-by-step explanation:
y = (x+14)^2 -4
The equation is in vertex form
y = a(x-h)^2 + k where (h,k) is the vertex
The y coordinate of the vertex is k = -4
Answer:
y - coordinate = - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = (x + 14)² - 4 ← is in vertex form
with vertex = (- 14, - 4 )
The y- coordinate of the vertex = - 4
The hypotenuse of a right angled triangle is 8 cm more than its shortest side. The third side is 1 cm shorter than the hypotenuse. Find the three sides of ths is triangle.
Answer:
hypotenuse = 13
shortest side = 5
third side = 12
Step-by-step explanation:
Given sides a, b, and c, with c representing the hypotenuse of a right triangle, we can say that
a²+b² = c² using the Pythagorean Theorem.
We are given that the hypotenuse (c) = 8 cm more than the shortest side. Representing the shortest side as a, we can say that c= 8 + a. Then, the third side, which we can represent as b, is 1cm shorter than the hypotenuse, so c-1 = b
c= 8+a
c-1 = b
a²+b² = c²
One thing we can do is to solve for everything in terms of c and solve the third equation from there
c= 8+a
subtract 8 from both sides
c-8 = a
a²+b² = c²
(c-8)²+b² =c²
b = c-1
(c-8)² + (c-1)² = c²
expand
c²-16c + 64 + c² - 2c + 1 = c²
2c² - 18c + 65 = c²
subtract c² from both sides to make this an equation that we can more easily solve
c² - 18c + 65 = 0
To factor, we can find two numbers that add to (-18) and multiply to 65. Two numbers that work at 13 and 5, so we have
c²-13c-5c + 65 = 0
c(c-13) -5(c-13) = 0
(c-5)(c-13) = 0
Therefore, the hypotenuse, or c, is 5 or 13. Because a=c-8, if c=5, a would be negative 3. This is not possible, so c cannot be 5. Therefore, c=13, a=c-8=5, and b=c-1= 12
Help???
Find the value of x.
A.74
B.84
C.48
D.148
Answer:
A
Step-by-step explanation:
The tangent- tangent angle x is half the difference of the measures of the intercepted arcs.
minor arc = 360° - 254° = 106° , then
x = [tex]\frac{1}{2}[/tex] (254 - 106)° = [tex]\frac{1}{2}[/tex] × 148° = 74° → A
The value of angle x will be 74°. Then the correct option is A.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
We know that the sum of the minor arc and major arc made by a tangent in a circle will be 360 degrees.
Then the measure of the minor arc will be
⇒ 360° - 254°
⇒ 106°
We know that the angle made by the tangent is half of the major arc to the minor arc.
x = (254° - 106°) / 2
x = 148° / 2
x = 74°
The value of angle x will be 74°.
Then the correct option is A.
More about the circle link is given below.
https://brainly.com/question/11833983
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Which distance measures 5 units?
W
х
Y
NO
-
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
the distance between points W and X
the distance between points X and Y
the distance between points X and Z
the distance between points Y and Z
The distance between points W and X is exactly 5 units.
Which distance measures 5 units?
To know this, we need to see between which pair of two points we have 5 units.
By looking at the number line, we can see that the pair of points that is 5 units apart is W and X.
We have:
W = -8X = -3Taking the difference, we get: X - W = -3 - (-8) = 5
If you want to learn more about distances:
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Thomas is making fruit punch for a party. The recipe calls for 5/8 gallon of orange juice to make a full pitcher of punch.
How many full pitchers of punch can Thomas make with 2 gallons of orange juice
Answer:
3 remainder 1
Step-by-step explanation:
We have 2 gallons of orange juice and for each pitcher we need 5/8 of a gallon 1 gallon is = to a whole number so in this case 8/8 but because we have 2 gallons we can put it down at 16/8. 5 goes into 16, 3 times with 1 left over we can mark that as a Reminder
Which expressions are equivalent to 2 (5x - 3/4)? click two or more answers
A) -2 (5x) + (-2) (-3/4)
B) -10x - 3/4
C) -10x + 6/2
D) -10x + 3/2
E) -10x - 6/2
Is this relation a function?
Answer:
A
Step-by-step explanation:
for it to be a function every x value must have at most 1 y value, therefore it is option A as this requirement is met
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
300 yd³
Step-by-step explanation:
Volume = lwh
l = 6
w = 5
h = 10
so, 6×5×10 = 300 yd³
pls help asap !!!!!!!
Answer:
I think that the answer is 1 to1
Help on this pls if you don’t mind
Answer:
(B) 3
Step-by-step explanation:
Remember that a parallel lines always have the same slope!
Look at this sphere:
If the radius is doubled, then which of the following statements about its surface area will be true?
In the equation for surface area the radius is squared ( r^2)
If the radius is doubled, the radius would be 2^2 more which equals 4
The surface area would be 4 times the old surface area.
Name the marked angle in 2 different ways.
Answer:
∠ RQP or ∠ PQR
Step-by-step explanation:
When naming the angle the vertex always goes in the middle of the 2 legs
Answer:
∠Q
∠RQP
∠PQR
Step-by-step explanation:
Brainliest, please!
find the radius of a circle for which an arc 6 cm long subtends an angle of 1/3 radians at the center?
plz some one can help to solve the question??
Step-by-step explanation:
Eueydhhdgdgdbdbddbdbhd
Answer:
Hello,
[tex]R=\dfrac{18}{\pi}\ (cm)[/tex]
Step-by-step explanation:
[tex]Formula: \ L=\theta*R\\[/tex]
[tex]R=\dfrac{6}{\dfrac{\pi}{3} } =\dfrac{6*3}{\pi} =\dfrac{18}{\pi}\ (cm)[/tex]
Please help explanation if possible
HELP PLZ!! Convert 80 mph (miles per hour) to feet per second.
Answer:
117.33333 feet per second
Step-by-step explanation:
find the least number which is exactly divisible by 15 , 20, 25
explain step by step
Answer:
ans is 300Step-by-step explanation:
you need to take LCM of 15,20,25 and their LCM Will be 300I'M NOT PRETTY SURE ABOUT IT. ...Answer:
300
Step-by-step explanation:
5/15,20,25
3,4,5
5*4*3*5
300
In a group of 60 numbers, average of
the first 35 numbers is 18, that of next
15 numbers is 10 and that of the
remaining is 30. What is the average
of the entire group of numbers?
a)
16
b)
17
c)
18
d)
19
Answer:
c. 18
Step-by-step explanation:
First, you would find the total sum of the 60 numbers. The average is always the sum of the numbers divided by the number of numbers.
35*18=630
15*10=150
Now we do not know how many numbers the last group has. However, we can find it out doing 60-35-15 to see how many numbers are left. There would be 10 numbers left
10*30=300
630+150+300=1080
1080/60=18
Hence, the answer is C(18)
5x-2x = 11+14
find the the variable that makes the equation true.
Answer:
x=25/3
Step-by-step explanation:
I put it into photo math
what is 8 to the 4thpower
8 to the fourth power is:
8² · 8² =
64 · 64 =
4096
