Answer:
Elga is 32 years old.
Step-by-step explanation:
Let Alvin's age = A
Let Elga's age = E
Alvin is 10 years younger than Elga, so A = E - 10
The sum of their ages is 54, so A + E = 54
Replace the A in the second equation with E - 10, then solve for E.
A + E = 54 becomes (E - 10) + E = 54
Combine like terms
2E - 10 = 54
Add 10 to both sides
2E = 64
Divide both sides by 2
E = 32
Ayana and Victor have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Ayana earns a base wage of $12 per hour, as well as $1 for every subscription that she sells. Victor gets $4 per subscription sold, in addition to a base wage of $6 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How many subscriptions would that be? How much would each one earn?
Answer:
2
$14
Step-by-step explanation:
Let x = number of subscriptions sold
Total income of Ayana per hour = $12 + $1x
Total income of Victor per hour = $6 + $4x
To find the number of subscriptions that would equate their incomes :
$12 + $1x = $6 + $4x
Collect like terms
$12 - $6 = $4x - $1x
$6 = $3x
Solve for x
x = $2
The subscription that would equate their income would be $2.
The income each would earn = $12 + $1(2) = $14
The ple chart shows the favourite sports of a group of students,
For each statement below, decide if it is
True (A), False (B) or Impossible to say (C)
Other
Tennis
a) None of the students chose Netball
10
Football
b) More students opted for Football than Tennis,
Rugby
c) Hall of the students did not choose Rugby
(1)
Answer: the answer would be C
Enter the ordered pair for the vertices for 180°,0)(QRST).
Q
o
S
IR
O Q' = (-1,-3) R' = (-3,3 ) S'= (0,2)T' =(2, -1)
OQ' = (-1,3) R' = (-3,-3) S'=(0, -2)T' =(2, 1)
Q' = (1, -3) R' =(3,3) S' = (0,2)T' = (-2,-1)
Answer:
The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is given as follows;
Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1)
Step-by-step explanation:
The coordinates of he vertices of the triangle QRST are;
Q(1, 3), R(3, -3), S(0, -2), T(-2, 1)
A rotation of a point with coordinates (x, y) 180° about the origin gives;
The coordinate of the point of the preimage before the rotation = (x, y)
The coordinate of the point of the image after the rotation = (-x, -y)
Therefore we have;
The image of point Q(1, 3) after 180° rotation = Q'(-1, -3)
The image of point R(3, -3) after 180° rotation = R'(-3, 3)
The image of point S(0, -2) after 180° rotation = S'(0, 2)
The image of point T(-2, 1) after 180° rotation = T'(2, -1)
The ordered pair for the vertices for r₍₁₈₀ ₀₎(QRST), is therefore, Q'(-1, -3), R'(-3, 3), S'(0, 2), and T'(2, -1);
Q' = (-1, -3) R' = (-3, 3) S' = (0, 2) T' = (2, -1).
what is 2(3x-5) + 3(2x+3)
Answer:
12x - 1
Step-by-step explanation:
Distribute the 2 and 3:
2(3x - 5) + 3(2x + 3)
(6x - 10) + (6x + 9)
Add like terms:
12x - 1
So, the answer is 12x - 1
The value of x in the equation 161 - 6 - 26 is
Answer:
129
161-6=155-26=129 so x is 129
Answer:
x= 129
Step-by-step explanation:
161-6-26=x
161-6= 155
155-26= 129
x=129
Each figure is composed of large squares and small squares. The side length of the
large square is x. Write an expression for the area of the shaded part of each figure.
Figure A
Figure B
** Please help!!
Hey, did you get the expressions for both figure A and B? If so could you pls write them down below.
9514 1404 393
Answer:
A. x² -4
B. 2x² +8
Step-by-step explanation:
The area of the larger square is the square of its side length, so is x².
A. The area of each of the smaller squares is 1² = 1. There are 4 of them, so their total area is 4×1 = 4. The shaded area is that much less than the area of the larger square, so is ...
x² - 4
__
B. The smaller squares have side length 2, so their area is 2² = 4. There are two of them, so the total area of the smaller squares is 2×4 = 8.
The two large squares have a total area of ...
2 · x² = 2x²
So, the total shaded area is ...
2x² + 8
Ayuda porfavor urgenteee
15 puntos!!!
Answer:
x=11
z=16
Step-by-step explanation:
5x+3z=70
3x+4z=64
2x-z=6
z=2x-6
5x+3(2x-6)=70
11x=88
x=11
z=2(11)-6
=16
Find the product of (x − 8)2 and explain how it demonstrates the closure property of multiplication.
A. x2 − 64; is a polynomial
B. x2 − 16x + 64; is a polynomial
C. x2 − 64; may or may not be a polynomial
D. x2 − 16x + 64; may or may not be a polynomial
Answer:
B
Step-by-step explanation:
(x-8)^2=(x-8)(x-8)=x^2-8x-8x+64=x^2-16x+64
Answer:
x2 − 16x + 64; is a polynomial
I need help and would greatly appreciate anyone who could help me ): !
Answer:
∠Q≅∠T, RS≅UV, ∠V≅∠S, VT≅SQ
Step-by-step explanation:
You can find the corresponding angles and sides by matching up the letters from both congruent triangles.
Dan was thinking of a number. Dan adds 10 to it, then doubles it and gets an answer of 56.6. What was the original number
Answer:
23.3 is the answer to this question
heyy could you help me out with this problem???
Answer:
not sure
Step-by-step explanation:
sorry :/
Indicate below whether the equation in the box is true or false.4/8 = to 6/10
Answer:
Not equal. So, false.
Step-by-step explanation:
Just cross multiply
40 and 48
so no, they're are not equal.
Answer:
False
Step-by-step explanation:
please help me ASAP this is very important explain for brainlist.
Answer:
A= 320 in^2
Step-by-step explanation:
A = 1/2 (d1)(d2)
A = 1/2(20)(32)
A= 320 in^2
11.) A radioactive material has a half-life of 1 day. The material decays
(?)
5008
according to the equation M = 1000 Mass Mis measured in
grams and time t is measured in days.
a) What is the mass of the sample after 1 day? 2 days? 10 days?
b) Use a calculator with an exponent key to compute the mass of the
sample after 1 year. Explain what the answer means.
Answer:
UHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Step-by-step explanation:
thats what u did to me before it deleted
Pleaseeee help meeeee
Answer:
x=-8
Step-by-step explanation:
1) remove the constant(number without variable) to do this, we must use the opposite operation(in our case, subtraction)
so
4x+1=-31
a) 4x+1-1=-31-1
4x=-32
b) remove the coefficient by doing the opposite operation(division in our case)
x=-8
Is x = 5 a solution to the equation 3(x + 1) = 3x + 3?
Answer: Yes
Step-by-step explanation:
3(5+1)= 3(5)+3
3(6)=15+3
18=18
YES it works
3(5+1)=3x +3
hope it helps
What is the value of y?
72°
A. 1080
B. 540
C. 36°
D. 720
Answer:
B. 54
Explanation:
Take 72 from 180.
180 - 72 = 108.
Since there are two y's AND they're congruent, divide 108 by two and get 54.
Here is the sales tax on the same items in City 3.
What is the tax rate in this city? Show work on the
sketch. (Remember to round to the nearest penny.)
Sales tax percentage
Check
For the sales tax on the laundry soap, Kiran says it
should be $0.84. Lin says it should be $0.87. Do you
agree with either of them? Explain your reasoning.
I agree with Kiran
I agree with Lin
I don't agree with either of them
Explain your thinking.
cause your multiplying the numbers
Edit my response
Answer:
This needs more detail.
Step-by-step explanation:
Look at this set of ordered pairs:
(9,8)
(12, 15)
(5, 7)
(4,9)
Is this relation a function?
yes
no
Answer:
Yes, the given relation is a function.
Step-by-step explanation:
As given,
(4, 9)
(5, 7)
(9, 8)
(12, 15)
x y
4 9
5 7
9 8
12 15
As each input has different and unique output values.
So, the given relation is a function.
what is slop intercept from
Answer:
Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line. Watch this video to learn more about it and see some examples.
Step-by-step explanation:
Please answer this and show your work!:)
Answer:
Hope this helps
Step-by-step explanation:
WILL GIVE BRAINLIEST
I dont know how to do this. Could someone help me with the answer and the steps?
Step-by-step explanation:
(23)2-5=6
23 3 =6
so it goanna be 2raise to power 3x equal6
Answer:
[tex]Note:\\If~x^{a}=b,~then~x=log_a(b)\\We have,\\23^{2x-5}=6\\or, 2x-5 = log_{23}6\\or, 2x = log_{23}6 +5\\\\or, x =0.5({log_{23}6+5} )[/tex]
Mark me as brainlist
15.50 + 1.50r =26 r = ?
Answer:
R = 7
Step-by-step explanation:
15.50 + 1.50r =26 r =
En un día de febrero, una ciudad de Estados Unidos registró una temperatura mínima de 9° bajo cero y una temperatura máxima de 13°C. ¿De cuántos grados fue el intervalo de temperaturas registradas?
Answer:
La cantidad de grados del intervalo de temperaturas registradas en el día de febrero mencionado es de:
5Step-by-step explanation:
En estadística, cuando se utilizan intervalos como valores para identificar datos cuantitativos, como en este caso temperaturas registradas, deben tomarse todos los valores, en este caso enteros, desde el límite inferior (temperatura mínima) hasta el límite superior (temperatura máxima), por lo cual no se puede restar el valor máximo al valor mínimo, sino que debes identificar todos los valores y después contarlos. En el caso del ejercicio dado, los grados en el intervalo mencionado son:
9°C10°C11°C12°C13°CComo puedes ver, los grados en el intervalo de temperaturas registradas serían 5.
Leola ran in a 10-kilometer race. About how many miles did she run
The answer is that Leola ran 6.2
Tanya wants to sew her own jean jacket. She found a sewing pattern for her size and realized she
needs 4 yards of fabric. She goes to the store and finds the denim fabric she likes, which is priced
at $7.50 per yard. She also needs to buy buttons to put on the jean jacket. She finds a pack of
buttons priced at $6.99. How much will Tanya spend at the store on her fabric and buttons?
Answer:
$36.99
Step-by-step explanation:
Fabrics per yard = $7.50
Pack of buttons = $6.99
Fabrics needed = 4 yards
How much will Tanya spend at the store on her fabric and buttons?
Total cost of fabric and button = cost of 4 yards of fabric + pack of buttons
= 4(7.50) + 6.99
= 30 + 6.99
= 36.99
Total cost of fabric and button = $36.99
Help please I will mark you the Brainiest
Answer:
-1 and 4/5
Step-by-step explanation:
Your welcome
True or false, The triangles shown below must be congruent.
what is the area of the triangle when the sides are 6 7 and X
Answer:
firgure it out yourself because no one helps me
Step-by-step explanation:
.
allel...
10. If the midpoints of the sides of AEFG shown below were connected with line segments, what would be the
perimeter of the resulting triangle? Explain how you arrived at your answer.
allel...
E
arall...
of a T...
170 mm
83 mm
110 mm
Answer:
Perimeter of triangle PQR = 181.5 mm
Step-by-step explanation:
Midsegment theorem states that,
"Midsegment connecting the midpoints of the two sides of a triangle is parallel and half of the length of the third side"
From the figure attached,
PQ = [tex]\frac{1}{2}(EF)[/tex]
= [tex]\frac{83}{2}[/tex]
= 41.5 mm
PR = [tex]\frac{1}{2}(GF)[/tex]
= [tex]\frac{110}{2}[/tex]
= 55 mm
QR = [tex]\frac{1}{2}(GE)[/tex]
= [tex]\frac{170}{2}[/tex]
= 85 mm
Perimeter of triangle PQR = PQ + QR + PR
= 41.5 + 55 + 85
= 181.5 mm