Answer:
The equation represents this situation and its solution are m + 68 = 185; m = 117 ⇒ A
Step-by-step explanation:
Let us solve the question
∵ Joanna is driving 185 miles to visit her family
∴ The total distance she is driving = 185 miles
∵ She drives 68 miles in the morning
∴ d[tex]_{M}[/tex] = 68 miles
∵ She stops for lunch and then drives the rest of the distance
∵ m represents the number of miles she drove after lunch
∴ d[tex]_{L}[/tex] = m miles
∵ d[tex]_{L}[/tex] + d[tex]_{M}[/tex] = the total distance she is driving
∴ m + 68 = the total distance she is driving
∵ The total distance she is driving = 185 miles
∴ m + 68 = 185
∴ The equation represents this situation is m + 68 = 185
→ To solve the equation subtract 68 from both sides
∵ 68 - 68 + m = 185 - 68
∴ m = 117 miles
∴ The solution is m = 117
x * 2/3 < 2/3
Solve for x
Answer:
x<1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. Hope this helps!
Answer:x<1
Step-by-step explanation:
The graphs of f(x) = 10' and its translation, g(x), are
What is
shown.
O g(x
g(x)
у
460
fa)
go
O g(x)
O g(x)
120
100
(2. 100)
(5, 100)
80
60
40
20
(391) (4.10)
6
1 2 3
5
6
х
140
(1.10)
60
Answer:
The first option
Step-by-step explanation:
The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]
Option A is the correct answer.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and size.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
From the graph, we see that,
The coordinates in the line g(x) are (5, 100) and (4, 10).
Now,
g(x) = [tex]10^{x - 3[/tex] ______(1)
Substituting (5, 100) and (4, 10) in (1)
We get,
g(5) = [tex]10^{5 - 3[/tex] = 100
g(4) = [tex]10^{4 - 3[/tex] = 10
This is true.
Thus,
The equation of g(x) is g(x) = [tex]10^{3 - x[/tex]
Learn more about translation here:
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ANSWER FAST ILL GIVE BRAINLIEST!!
Find the surface area of the pyramid to the nearest whole number.
Given:
A square base pyramid whose base length is 10 in. and height of triangular surface is 4 in.
To find:
The surface area of the pyramid to the nearest whole number.
Solution:
A square base pyramid contains square base with edge 10 in. and 4 congruent triangles with base 10 in. and height 4 in.
Area of a square is
[tex]A_1=(edge)^2[/tex]
[tex]A_1=(10)^2[/tex]
[tex]A_1=100[/tex]
So, area of square base is 100 sq. in.
Area of a triangle is
[tex]A_2=\dfrac{1}{2}\times base\times height[/tex]
[tex]A_2=\dfrac{1}{2}\times 10\times 4[/tex]
[tex]A_2=20[/tex]
So, area of each triangular surface is 20 sq. in.
Now, the total surface area of the pyramid is
Total area = Area of square base + Area of 4 congruent triangles.
[tex]A=A_1+4\times A_2[/tex]
[tex]A=100+4\times 20[/tex]
[tex]A=100+80[/tex]
[tex]A=180[/tex]
Therefore, the area of the pyramid is 180 sq. in.
Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answer:
again i can not see the given point
Step-by-step explanation:
Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?
Answer: 172.8
Step-by-step explanation:
Find the Missing side length for #8
Answer:
A
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{LM}{QR}[/tex] = [tex]\frac{KL}{PQ}[/tex] , substitute values
[tex]\frac{x}{15}[/tex] = [tex]\frac{28}{21}[/tex] ( cross- multiply )
21x = 420 ( divide both sides by 21 )
x = 20 → A
help please this has to be done
Answer:
100
Step-by-step explanation:
a triangle is 180, so 180-58-22 is your answer
Which equation best represents the line on
the graph?
3
y
B.
-
A. y--3-4
y
-x-4
C. y ---4
D. y-r+4
Answer:
B. y=3/2x - 4
Step-by-step explanation:
As you see in the graph the y intercept was lying on -4 and you rise 3 time and run 2 time to get to your next point.
Solve?? Wat is it plss?
Write the equation of the line with the given slope and y Intercept.
m=0 b = -11
Question 5 of 5
Find the length of side a.
13
a
12
O A. 1
O B. 313
O C. 25
O D. 5
Answer:
It's D. 5
Step-by-step explanation:
A^2 + B^2 = C^2
The third length of the right triangle is 5 units. Then the correct option is D.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
We have
P = a
B = 12
H = 13
Then
13² = a² + 12²
169 = a² + 144
a² = 169 – 144
a² = 25
a = 5
Then the correct option is D.
More about the Pythagoras theorem link is given below.
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A 9-yard roll of white paper costs $1.98. What is the unit price?
Answer:
$0.22
Step-by-step explanation:
divide $1.98 by 9 to get the unit price
Combine like terms : 10a+11x+3+10-9a-9+2+6x
Answer:
a+17x+6
Step-by-step explanation:
For the following expressions, match them up with their correct factored form
The expression (x+6)² is simplified as x²+12x+36.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
A) (3x-2)(x+5)
= 3x²-2x+15x-10
= 3x²+13x-10
B) (3x-8)(3x+8)
= (3x)²-8²
= 9x²-64
C) 5x(x-1)(x+7)
= (5x²-5x)(x+7)
= 5x²(x+7)-5x(x+7)
= 5x³+35x²-5x²-35x
= 5x³+30x²-35x
D) (x+6)²
= x²+12x+36
E) (x-2)(x-8)
= x(x-8)-2(x-8)
= x²-8x-2x+16
= x²-10x+16
So, A→2, B→5, C→1, D→3, E→4
Therefore, the expression (x+6)² is simplified as x²+12x+36.
To learn more about an expression visit;
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Last year, the average monthly revenue at the Westford Times newspaper was $54,460.70. This year, the average monthly revenue so far has been $70,798.91. What is the percent of increase in the average monthly revenue?
9514 1404 393
Answer:
30% increase
Step-by-step explanation:
The percentage change can be computed from ...
percent change = ((new value)/(old value) -1) × 100%
= (70798.91/54460.7 -1) × 100% = (1.30 -1) × 100%
= 30%
The average monthly revenue increased by 30% from last year.
P(Red Blue) =
Probability
The coach of a track team is standing on
the outside of a circular track. What is the
maximum distance he can be from one of
his track teammates if the distance from the
coach to the center of the track is 52.4
· feet? Explain how you know your answer is
correct.
,.....................
PlZ DO ALL question A B AND C ARE different question BRAINLY POINTS
Answer:
A is a, B is X=5 and y=6, C is B
Step-by-step explanation:
Because MATH!
Solve for x
CAN SOMEONE PLEAAAAAAAAAAAAAAAAAAAAAAAASE HELP ME
Answer:
x= 12
Step-by-step explanation:
First, we can note that the angles in a pentagon add up to 540°
We can, using the image below, conclude that angles a+b+c+d+f=540
Furthermore, a is on a straight line with 7x+4, and so on, so
180-(7x+4)= a
176-7x=a
180-(4x+1) = b
179-4x = b
180-(9x-6) = c
186 - 9x = c
180 - (4x+9) = d
171 - 4x = d
180 - (5x+4) = f
176 - 5x = f
a+b+c+d+f = 540
176-7x + 179-4x + 186 - 9x + 171 - 4x + 176 - 5x = 540
888 - 29x = 540
348 = 29x
x = 12
please help me on this question
Answer:
The answer is A
Step-by-step explanation:
[tex] \frac{1 \times 3}{2 \times 3} = \frac{3}{6} \\ \\ \frac{2 \times 2}{3 \times 2} = \frac{4}{6} [/tex]
Which expression is equivalent to 2(3+a)?
Answers:
A.) : 2a
B.) : 2a+6
C.) 6a+2
D.) 6+a
Answer:
the answer is b
Step-by-step explanation:
here you go mate
step 1
2(3+a) equation/question
step 2
2(3+a) simplify
(2)(3+a)
step 3
(2)(3)+(2a) add them up
answer
6+2a
A) QS = 5, SR = 6
B) QS = 8, SR = 9.6
C) QS = 9.6, SR = 8
D) QS = 2, SR = 8
Answer:c
Step-by-step explanation:
i need help with a question.
What is the measure of ZABC?
A
/(x + 45)
(3x)
(6x + 5)º
B
С
D
Enter the correct answer in the box.
Please help!! :)
Answer:
I think <ABC is 83° but I am not sure sorry if is wrong
What is 1/4 X 3/5= ?
Answer:
1/4 x 3/5 = 3/ 20
decimal form = 0.15
26) One third of the students earned an A on the test. If 9 of the students earned an A, how many students are there in total?
Answer:
27
Step-by-step explanation:
9 students = 1/3, 9 students = 1/2, 9 students = 1/3 so 9 x 3 =27
Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!
Answer: did you ever get the answer?
Step-by-step explanation:
Answer:
Step-by-step explanation:
?
what is the median of these numbers 12 13 15 16 19 32
Answer:
15 1/2 or 15.5
Step-by-step explanation:
the median is just the numer in the middle (numerical order) so, because you end up with both 15 and 16, the rational number between them is 15.5
Cesar, Carmen, and Dalila raised $95.34 for their tennis team. Carmen raised $12.12 less than Cesar, and Cesar raised $35 more than Dalila.
If x = the amount raised by Carmen, choose the expressions that represent the amount each other player raised.
Let Cesar's, Carmen's and Dalila's amount be represented by x, y and z respectfully.
Since they're money sum up to $95.34, the first expression will be;
x+y+z=95.34
Carmen_y_ is $12.12 less than cesar_x, so the equation will be ;
y=x-12.12
Cesar_x_raised $35more than Dalila_z. So the equation will be;
x=z+35
making z the subject, z=x-35 .
Substituting the Second equation into the first one, we get;
x+x-12.12+z=95.34
Subtracting the third equation into the new equation we get;
x+x-12.12+x-35=95.34
Simplifying, we get 3x- 47.12= 95.34.
3x=142.46
If a=2 and b=-1 the expression 3ab^2 is equal to