Answer:
1. x + 23 = 41
2. x = 18; solution is 18
Step-by-step explanation:
We can translate the question into an equation. Because the question is asking to find a specific number we don't know the value of, let that unknown number be a variable; x. We know, from the information given in the question, that x added to 23 is equal to 41. When we're adding a number to another number, we use the + symbol. So far, we have x + 23. Now, the last part says "equals 41". We can imply when something equals another thing, we use the = sign. Then, we're left with the equation: x + 23 = 41.
To solve for this equation:
x + 23 = 41
Subtract 23 from both sides:
x + 23 - 23 = 41 - 23
x = 18
Therefore, our solution is 18.
T is directly proportional to x2. If T=36 and x=3 find the value of t when x = 5
Answer:
[tex]{ \bf{T \: \alpha \: {x}^{2} }} \\ { \tt{T = k {x}^{2} }} \\ { \tt{36 = (k \times {3}^{2}) }} \\ { \tt{k = 4}} \\ \\ { \tt{T = 4 {x}^{2} }} \\ { \tt{T = (4 \times {5}^{2}) }} \\ { \bf{T = 100}}[/tex]
rút gọn √(6-3(√(2+√3)-√(2+√(2+√3)
Answer:
10
Step-by-step explanation:
not sure please verify
5x + 4 < X-5, when X belongs to Z
Answer:
Step-by-step explanation:
5x+4<x-5
5x-x<-5-4
4x<-9
x<-9/4
x=(-∞,...,-4,-3]
Answer:
Step-by-step explanation:
5X + 4 < X - 5
5x - x < -5-4
4x<-1
4x/4 > -1/4
x>-1/4
PLZ CAN SOMEONE ANSWER THIS !!
Solve the following system of equations
5x + 2y = -16
3x + 7y = 2
**please show work if you can**
thank you in advance :)
Answer:
(-4,2)
Step-by-step explanation:
First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.
Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.
Before:
5x + 2y = -16
3x + 7y = 2
After:
15x + 6y = -48 <----------Now we solve for y
-15x + -35y = -10
+----------------------
-29y = -58
-29 -29
y = 2
Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.
3x + 7y = 2
3x + 7(2) = 2
3x + 14 = 2
-14 -14
----------------------
3x = -12
3 3
x = -4
Therefore our final answer is (-4,2)
8x - 12
6x + 8
x = [?]
Answer:
x = 10
Step-by-step explanation:
8x-12 = 6x+ 8
or, 8x -6x = 8 + 12
or, 2x = 20
or, x = 20/2
so, x = 10
Answer:
10
there is a problem with the question...
IF it was : 8x - 12 = 6x + 8
then the answer would be: 2x = 20 .... x = 10
Step-by-step explanation:
asap please help! and explain how you got the answer!
Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?
Answer:
8 1/4 kg
Step-by-step explanation:
Add the weight of the fruits together
3 1/2 + 4 3/4
Get a common denominator of 4
3 2/4 + 4 3/4
7 5/4
7 4/4 + 1/4
8 1/4 kg
On a coordinate plane, a triangle has points A (negative 2, negative 2), B (1, negative 5), and C (negative 5, negative 5).
If a translation of T2, –7(x, y) is applied to ΔABC, what are the coordinates of B'?
Answer:
The answer is number 2. hope that helps
Answer:
(3,-12)
Step-by-step explanation:
the triangle has points A(-2,-2) B(1,-5) and C(-5,-5) the translation of (2 horizontally,-7 vertically) will cause B to translate to coordinates (3, -12)
Find x and explain how you found it
Answer:
42 degrees
Step-by-step explanation:
Since m and n are parallel, that is a transversal
So 24=(x-18) because of exterior angle property
so x - 18 = 24
We bring - 18 to the other side so it becomes + 18
x = 24 + 18
x = 42
Harley graphs a polygon that is located entirely inside quadrant I. He rotates the figure clockwise 90degree about the origin and then reflects the rotated figure over the x-axis. He translates the resulting figure 3 units to the left and 3 units up. Which best describes the location of the final image?
quadrant I
quadrant II
above the x-axis
left of the y-axis
Answer:
D
Step-by-step explanation:
Got it from the person above me
Find EH , given that line HF is the perpendicular bisector of EG
Answer:
EH = 5
Step-by-step explanation:
HF is the perpendicular bisector of EG , then
EH = HG = 5
Pythagorean Theron can someone help me with this
Answer:
Step-by-step explanation: This means the hypothenuse and the Adjacent are equal b= x thus the double lines indicates and they are opposite to 6
What is the solution to the system of equations graphed below? PLSSS HELP
Answer:
C (-2,0)
Step-by-step explanation:
Find the point where they intersect. It's (-2,0) on the graph
Answer:
C
Step-by-step explanation:
Looking at the graph, the solution is (-2, 0).
This is because on the x axis, the point is 2 units to left (negative number) and does not move on the y axis (leaving it at 0).
Another way to see this is by plugging in these coordinates into the system of equations:
0 = -2(-2) - 4
0 = 4 - 4
0 = 0
0 = -2 + 2
0 = 0
These are both correct, once again proving the solution is (-2, 0).
From the given figures, find the length of unknowns sides of Pythagorean theorem. (In solution)
Answer:
61cm
Step-by-step explanation:
A right angled triangle is given to us with two sides as 11cm and 60 cm .We need to find out the length of the third side . Here , since it is a right angle triangle we can apply the Pythagoras theorem .
Pythagoras Theorem :- In a right angle triangle sum of squares of perpendicular and base is equal to the square of hypotenuse.
[tex]\rm\implies hypontenuse^2 = base^2+perpendicular^2[/tex]
As we can see that here ,
Base = 11cm
Perpendicular = 60cm.
[tex]\rm\implies Hypontenuse^2 = Perpendicular^2+Base^2 [/tex]
Substitute the respective values ,
[tex]\rm\implies h^2 = (11cm)^2+(60cm)^2 [/tex]
Simplifying ,
[tex]\rm\implies h^2 = 121cm^2+3600cm^2 [/tex]
Add the numbers on RHS ,
[tex]\rm\implies h^2= 3721 [/tex]
Take squareroot on both sides ,
[tex]\rm\implies h =\sqrt{61\times 61}[/tex]
Simplify the squareroot ,
[tex]\rm\implies \boxed{\blue{\rm Hypontenuse= 61 cm }}[/tex]
Hence the hypontenuse of the triangle is 61cm .
A grocery store recently sold 12 cans of soup, 6 of which were black bean soup. Based on experimental probability, how many of the next 20 cans sold should you expect to be black bean soup?
Answer:
10
Step-by-step explanation:
P(black bean soup) = cans of black bean / total = 6/12 =1/2
out of the next 20
20 *P(black bean)
20 * 1/2 = 10
Jamar has 90 cents in his pocket. One coin is a quarter, and the others are
nickels. How many nickels does he have?
A. 23
B. 65
C. 13
D. 15
Answer:
C. 13
Step-by-step explanation:
Quarters are worth 25 cents each
Nickels are worth 5 cents each
Let n be the number of nickels that Jamar as in his pocket.
We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:
5n + 25 = 90
5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.
We have to isolate the n so we can subtract 25 from both sides to get:
5n = 65
After that we can get n by dividing 5 from both sides:
n = 13
Therefore there are 13 nickels in his pocket.
Let me know if I did anything incorrectly.
The number of nickels he has is 13. The correct option is C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that quarters are worth 25 cents each and nickels are worth 5 cents each.
Let n be the number of nickels that Jamar has in his pocket.
We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:
5n + 25 = 90
5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.
We have to isolate the n so we can subtract 25 from both sides to get:
5n = 65
After that we can get n by dividing 5 from both sides:
n = 13
Therefore, the number of nickels he has is 13. The correct option is C.
To know more about expression follow
brainly.com/question/723406
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The functions f and g are defined as follows.
Answer:
f(4) = -14
g(-2) = 22
Step-by-step explanation:
f(x) = -4x+2
Let x = 4
f(4) = -4*4 +2
= -16+2
= -14
g(x) = -3x^3 -2
Let x = -2
g(-2)= -3(-2)^3-2
= -3(-8)-2
= 24-2
=22
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
Here,
f(x)=-4x+2
we have to find the value of f(4)
[tex]\sf{f(4)=-4(4)+2=-16+2=-14 }[/tex]g(x)=[tex]{-3x^3-2 }[/tex]
we have to find the value of g(-2)
[tex]\sf{g(-2)=-3(-2)^3-2 }[/tex] [tex]\sf{ g(-2)=-3(-8)-2 }[/tex] [tex]\sf{g(-2)=24-2=22 }[/tex] More information:-[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c} \\\\{\bf {f(4)}} & {\bf {-14}} \\ \\\\ \text{g(-2)} & \sf{22} \end {array}}}\end{gathered}[/tex]
f (x+2)=4x+3, find f(x) and f (2)
.......19 is the answer need any explanation????
Solve the formula A = lw for /
Answer:
A/w = l
Step-by-step explanation:
A = lw
Divide each side by w
A/w = lw/w
A/w = l
Anybody know? Because I don’t
Answer:
B
Step-by-step explanation:
(4x^-2)^4
256x^-8
256 * 1/x^8
256/x^8
B
A
8 cm
4cm
Two solid shapes, A and B, are mathematically similar.
The base of shape A is a circle with radius 4 cm
The base of shape B is a circle with radius 8 cm.
The surface area of shape A is 80 cm”,
(a)
Work out the surface area of shape B.
Answer:
(a) 320 cm²
(b) 75 cm³
Step-by-step explanation:
The scale factor from A to B is 8/4 = 2.
The scale factor of the areas is 2² = 4.
The scale factor of the volumes is 2³ = 8.
(a)
80 cm² * 4 = 320 cm²
(b)
600 cm / 8 = 75 cm³
The required surface area of shape B is 320 cm² and the volume of shape A is 75 cm³.
Given that,
The base of shape A is a circle with a radius of 4 cm
The base of shape B is a circle with a radius of 8 cm.
Surface area is defined as the area of the surface that is uncovered.
Here,
1)
The scale factor of area = 8²/4² = 4
The surface area of shape B = 4 surface area of shape A.
The surface area of shape B = 4 * 80
= 320 cm²
2)
The scale factor of volume = 8³ / 4³ = 8
The volume of shape B = 8 * the volume of shape A.
The volume of shape A = 600 / 8
The volume of shape A = 75 cm³
Thus, the required surface area of shape B is 320 cm² and the volume of shape A is 75 cm³.
Learn more about the surface area here: https://brainly.com/question/2835293
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Las dimensiones de un paquete de galletas son 2 cm x 0.75 cm x 25 cm. Cuántos paquetes de galletas caben en una caja cuyas dimensiones son 2 cm de ancho, 75 cm de largo y 2.5 cm de alto?
peter paid $45 for 3 pizzas; victor paid 135 for 8 pizzas and george paid 32 for 2 pizzas. whose pizza cost more
Answer:
The answer is victor
peter paid : 15 for 1 pizza
victor paid : 16.875
George paid : 16
Hope it helps
Answer:
Victors pizza
Step-by-step explanation:
Peter paid 45 for 3 pizzas if we divide that it gives us 15 for each pizza
George paid 32 for 2 pizzas which if we divide it 16 for each pizza
Finally for Victor we just divide 135 by 8 and that gives us 16.875 for each pizza.
If we compare those values the highest is for sure Victors at 16.875 or 16.88 per pizza.
Hope this helps
:)
14. The following solution contains errors. Identify the errors and explain why they are incorrect.
Explain what should have been done to answer the question properly.
if there are 90 calories in 3/4 cup of yogurt, how many calories are in 3 cups of yogurt?
Answer:
360 calories: 90/(3/4)=120
Step-by-step explanation:
I think sorry if im wrong
For problems 1 - 4, write a two-column proof.
Answer:
Solution given:
1:
<5=<6
<5+<4=180°[co interior angle]
Substituting value of<5
<6+<4=180°[it shows a property of co interior angle]
So
l || m
2:
<1=90°[ l is perpendicular to t]
<2=90°[m is perpendicular to t]
since
<1=<2[shows property of corresponding angle]
:.
l || m.
3:
<1=<2
<1=<3
substituting value of<1 in second one
<2=<3[which shows property of alternate Angel]
So
Segment ST || segment UV.
4:
<RSP=<PQR......[I]
<QRS+<PQR=180°.....[ii]
from equation I and ii we get
<RSP+<QRS=180°[which shows property of co interior angle ]
So
Segment PS || segment QR
These pictures are the questions given in the pdf, let's get the solutions.
1) Solution
It is given that,
→ <5 = <6
Then the co interior angles,
→ <5+ <4 = 180°
Now substituting value of <5,
→ <6+ <4 = 180°
This shows property of co interior angle.
Therefore, L II m.
2) Solution
Take it as,
→ <1= 90°
In above eq. L is perpendicular to t.
→ <2 = 90°
In above eq. m is perpendicular to t.
Then it will be,
→ <1 = <2
It shows property of corresponding angle.
Therefore, L II m.
3) Solution
It is given that,
→ <1 = <2 and <1 = <3
Now substitute,
The value of <1 in second one,
→ <2 = <3
This shows property of alternate angle.
Therefore, ST II UV.
4) Solution
It is given that,
→ <RSP = <PQR --- (1)
→ <QRS + <PQR = 180° --- (2)
Now from the equation (1) and (2),
→ <RSP + <QRS = 180°
It shows property of co interior angle.
Therefore, PS II QR.
6. What is the area of APQRbelow?
a) 15.8 m
b) 31.2m
c) 66.4m
d) 16.6m
Answer:
its letter c
Step-by-step explanation:
I hope this help
a box has a length of 6x inches the width equals one third the length and the height equals half the length. if the volume equals 972 cubic inches, what does x equal will give 100 points and brainly
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]
a box has a length of 6x inches
l=6xthe width equals one third the length
w=[tex]\sf{\dfrac{1}{3}×6x }[/tex] w=2xthe height equals half the length.
h=[tex]\sf{\dfrac{1}{2}×6x }[/tex] h=3xwe know that,
Volume of a rectangle box=l×w×h
According to the question,
if the volume equals 972 cubic inches,
l×w×h=volume6x × 3x × 2x=972 36x^3=972 cubic unitx=972/36x=27Therefore:-
The value of x is 27.
a box has a length of 6x inches
so,
l=6xBut,the width equals one third the length
[tex]w=\dfrac{1}{3}×6x[/tex]w=2xagain,the height equals half the length.
[tex]h=\dfrac{1}{2}×6x[/tex]h=3xwe knows:-Volume of a rectangle box=l×b×h
From the question,
if the volume equals 972 cubic inches,
l×w×h=volume6x × 3x × 2x=97236x^3=972 cubic unitx=972/36x=27Final answer.°.The value of x is 27.
can someone help me understand this.
Answer:
easy-peasy
Step-by-step explanation:
Perimeter:
P=2(a+b)
P=2(50+70)
P=2(120
P=240
Area:
A=50*70
A=3,500
I really hope it helped:)
Answer:
Step-by-step explanation:
Perimeter is the measure around the outside of the field while area is a measure of what's inside the field. The field has 2 long straight lengths of 120 m each, so now we just need to find the circumference of the whole circle that is made by sticking each of the 2 rounded ends together. The circumference of the whole circle (both rounded ends stuck together) is
C = πd and
C = (3.1415)(50) so
C = 157.075
Now we add in the 2 straight edges of the field to get the perimeter:
P = 120 + 120 + 157.075 and
P = 397.075 m
The area requires that we find the composite area: that is, the area made up by the rectangle measuring 120 x 50, and the area of the circle that is made up of the 2 rounded ends.
The area of the rectangle is length times width: A = 120(50) so A = 6000
The area of the circle is [tex]A=\pi r^2[/tex] so [tex]A=(3.1415)(25)^2[/tex] and the area of the circle is 1963.495.
Add these 2 areas together to get the area of the whole field:
6000 + 1963.495 = 7963.495 meters squared
may i have some help with 9? thanks :)
#9. C
A negative sign on the outside of the function indicates a reflection in the y-axis.
A negative sign on the inside of the function (attached to the x) indicates a reflection in the x-axis.
Hope this helps!