x = 6.5
Explanation:
[tex]\sf 23 - 2x = 10[/tex]
subtract 23 from both sides
[tex]\rightarrow \sf 23-2x-23=10-23[/tex]
simplify the following
[tex]\rightarrow \sf -2x=-13[/tex]
divide both sides by -2
[tex]\rightarrow \sf \dfrac{-2x}{-2}=\dfrac{-13}{-2}[/tex]
simplify
[tex]\rightarrow \sf x=\dfrac{13}{2}[/tex]
in decimals
[tex]\sf \rightarrow x = 6.5[/tex]
Recheck the following
[tex]\hookrightarrow \mathrm{23 - 2(6.5) = 10}[/tex]
[tex]\hookrightarrow \mathrm{23 -13 = 10}[/tex]
[tex]\hookrightarrow \mathrm{10 = 10}[/tex]
L.H.S = R.H.S thus. x = 6.5
At an archery competition, Jamie and Marshall's team tied Shawna and Wyatt's team for the top team score. Team scores are determined by adding the two teams members individual scores. Marshall scores 12 less than Jamie. Shawna scored twice as much as Marshall. Wyatt scored 4 less than Shawna. What was each person's individual score?
Given:
Jamie and Marshall's team tied Shawna and Wyatt's team for the top team score.
Marshall scores 12 less than Jamie. Shawna scored twice as much as Marshall. Wyatt scored 4 less than Shawna.
To find:
The individual score of each person.
Solution:
Let x be the score of Jamie.
Marshall scores 12 less than Jamie.
Marshall score = x-12
Shawna scored twice as much as Marshall.
Shawna score = 2(x-12)
Wyatt scored 4 less than Shawna.
Wyatt score = 2(x-12)-4
Now,
Score of Jamie and Marshall's team [tex]=x+(x-12)[/tex]
Score of Shawna and Wyatt's team [tex]=2(x-12)+2(x-12)-4[/tex]
Jamie and Marshall's team tied Shawna and Wyatt's team
[tex]x+(x-12)=2(x-12)+2(x-12)-4[/tex]
[tex]x+x-12=2x-24+2x-24-4[/tex]
[tex]2x-12=4x-52[/tex]
Isolate x.
[tex]2x-4x=-52+12[/tex]
[tex]-2x=-40[/tex]
Divide both sides by -2.
[tex]x=\dfrac{-40}{-2}[/tex]
[tex]x=20[/tex]
So, Jamie score = 20
Marshall score = 20-12
= 8
Shawna score = 2(20-12)
= 2(8)
= 16
Wyatt score = 2(20-12)-4
= 2(8)-4
= 16-4
= 12
Therefore, the scores of Jamie, Marshall, Shawna and Wyatt are 20, 8, 16 and 12 respectively.
Juan writes the expression below to determine the total cost of 1 sandwich and n side dishes. 10 . 50 + 1 . 50 ( n − 1 ) Juan orders a sandwich and the same number of side dishes each of the five days this week. All together, Juan pays $75 for these 5 lunches. Write an equation that can be used to find the number of side dishes Juan orders for lunch this week.
Answer:
She has n= 4 side dishes.
Total side dishes ordered = 5n = 20
Step-by-step explanation:
The total cost is given by
TC= 10 . 50 + 1 . 50 ( n − 1 )
She orders same 5 lunches for $ 75
$ 75= 5{ 10 . 50 + 1 . 50 ( n − 1 ) }
Or
Cost of 1 lunch would be $ 15
$ 75/5 = { 10 . 50 + 1 . 50 ( n − 1 ) }
or
$ 15 = 10 . 50 + 1 . 50 ( n − 1 )
$ 15-$ 10 . 50 = 1 . 50 ( n − 1 )
$ 4.5/ 1.5= n-1
$ 3= n-1
3+1= n
n= 4
She has n= 4 side dishes.
Total side dishes ordered = 5n = 20
She spent
$ 1.50 ( 4-1) = $ 4.5 each day or $22.5 on side dishes for 5 days.
ANSWER ASAP What is true for naming a ray? (6 points)
A ray must be named by first its endpoint and then another point the ray goes through.
More than two points can be used to name a ray.
A ray is named by two random points.
No matter the direction of the ray, the ray is named by the left point first.
Answer:
a ray must be named by its endpoint first then an another point it that the ray goes through
Step-by-step explanation:
a ray has 1 endpoint and it goes through an infinite number of points but you name a ray by naming it's endpoint than a other point which the ray goes through hopes this helps have a nice day and good luck
The measures of the angles of a triangle are shown in the figure below . Solve for x
Answer: x = 23
Step-by-step explanation:
The sum of interior angles in a triangles is equal to 180°, therefore:
(2x - 1) + 110 + 25 = 180
1. Get rid of parentheses.
2x - 1 + 110 + 25 = 180
2. Add the number up in the left side.
2x + 134 = 180
3. Subtract 134 from both sides.
2x = 46
4. Divide by 2 from both sides.
x = 23
Quadrilateral DEFG is dilated by a factor of 0.5 with the center (0,0) what are the new coordinates of point D?
Answer:
-3,-2
Step-by--step explanation:
if answered please explain because this is really hard
This is really simple, all you have to do is establish a new relation which describes this particular case;
For example if i wanted to find the area of the full circle (360°), i would use the equation which states that;
[tex]a = \pi \: r {}^{2} [/tex]
[tex]a = \pi \: 8 {}^{2} [/tex]
[tex]a = 3.14 \times 64[/tex]
[tex]a = 201.06 \: inches {}^{2} [/tex]
But do i really wan the full 360 degrees?
In reality i only need a 70 degree circle (in a sense).
If 360 makes a full circle
How many circles is 70?
Use the triple rule to find that;
[tex]x = \frac{70}{360} = 0.1945 \: cirles[/tex]
So that area would be;
[tex] \alpha = 0.1945 \times 201.06 = 39.0617 \: [/tex]
That is your area. a=39 inches² rounded to the nearest tenth.
5 in
5 in
4.3 in
14 in
5 in
Can you help me find out the surface area
Answer:
SA=231.5 in^2
Step-by-step explanation:
2(1/2[5x4.3])+3(5x14)
2(1/2x21.5)+3x70
2(10.75)+3x70
21.5+3x70
21.5+210
231.5
Problem is in the image
Answer:
0 < c < 1
Step-by-step explanation:
Descarte's rule of signs tells you the quadratic will have two or zero positive real roots when the sign of c is positive. (c > 0)
The discriminant tells you the quadratic will have real roots when ...
b² -4ac > 0 . . . . . . where a, b, c are the coefficients of ax² +bx +c = 0
(-2)² -4(1)c > 0
1 -c > 0
c < 1
The equation will have two positive real roots when 0 < c < 1.
Which of the following logarithmic expressions have been evaluated correctly?
A. ln 1=0
B. log2 9=3
C. log 1/100=12
D. log3 (−1)=1/3
E. log5 1/125=−3
The correctly evaluated logarithmic expressions are expressions that are true on both sides of the equation, and the expression is ln 1=0
How to determine the correctly evaluated expressionsA. ln 1=0As a general rule, ln 1 = 0
B. log2 9=3Express 9 as 3^2
[tex]\log_2(3^2) =3[/tex]
Apply the law of logarithm
[tex]2\log_2(3) = 3[/tex]
Evaluate
[tex]3.17 = 3[/tex]
The above is not true
C. log 1/100=12Express 1/100 as 10^-1
[tex]\log(10^{-2}) = 12[/tex]
Apply law of logarithm
[tex]-2\log(10) = 12[/tex]
Evaluate
[tex]-2 = 10[/tex]
The above is not true
Options (d) and (e) are also false
Hence, the correctly evaluated logarithmic expressions is ln 1=0
Read more about logarithmic expressions at:
https://brainly.com/question/10727370
What statements about dilations are true? Check all that apply.
A dilation preserves side lengths.
A dilation preserves angle measures.
A dilation preserves the direction that the shape faces.
A dilation is a type of isometric transformation.
The side lengths of a dilated image are proportional to the side lengths of the pre-image.
Answer:
B, C, E
Step-by-step explanation:
Edg 2021
A dilation preserves angle measures. A dilation preserves the direction that the shape faces. The side lengths of a dilated image are proportional to the side lengths of the pre-image.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure by a factor k, hence the side lengths of a dilated image are proportional to the side lengths of the pre-image.
Dilation does not preserve the side lengths but it preserves the angle measures. Dilation also preserves the orientation (i.e. the direction that the shape faces).
Dilation is not an isometric transformation.
Find out more at: https://brainly.com/question/13176891
I have tried this question for several times but i cant
help me please
Answer:
a) Rs. 2425.55, Rs. 2626.36 (2 d.p.)
b) Rs. 1320
Step-by-step explanation:
Please see the attached pictures for the full solution.
Answer:
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Line M passes through points (2,-5) and (4, -3). Line N passes through points (-4, -8) and (-6,-6). Are lines M and N perpendicular? Explain.
A. No, the lines are not perpendicular because the product of their slopes equals -1.
B. Yes, the lines are perpendicular because the product of their slopes equals-1.
C. No, their lines are not perpendicular because the product of their slopes does not equal-1.
D. Yes, the lines are perpendicular because the product of their slopes does not equal -1.
Answer:
Yes, the lines are perpendicular because the product of their slopes equals -1 ⇒ B
Step-by-step explanation:
The product of the slopes of the perpendicular lines is -1
So to prove that the lines are perpendicular let us find their slopes
The rule of the slope is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex] , where (x1, y1) and (x2, y2) are two points on the line
∵ Line M passes through points (2, -5) and (4, -3)
∴ x1 = 2 and x2 = 4
∴ y1 = -5 and y2 = -3
→ By using the rule of the slope above
∴ [tex]m=\frac{-3-(-5)}{4-2}=\frac{-3+5}{2}=\frac{2}{2}[/tex]
∴ The slope of line M is 1
∵ Line N passes through points (-4, -8) and (-6, -6)
∴ x1 = -4 and x2 = -6
∴ y1 = -8 and y2 = -6
→ By using the rule of the slope above
∴ [tex]m=\frac{-6-(-8)}{-6-(-4)}=\frac{-6+8}{-6+4}=\frac{2}{-2}[/tex]
∴ The slope of line N is -1
∵ 1 × -1 = -1
∴ The product of the slopes of lines M and N is -1
∴ Lines M and N are perpendicular
∴ Yes, the lines are perpendicular because the product of their
slopes equals -1.
The Square Root Property is used in solving incomplete quadratic equations where b is equal to _______.
A. Zero B. One C. Two D. Three
Answer: A. Zero
Step-by-step explanation: If the quadratic equation is incomplete, b will always equal 0.
The Square Root Property is used in solving incomplete quadratic equations where b is equal to zero. Then the correct option is A.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
If the value of the a is zero, then the equation will be linear, So the value of the variable a can not be zero.
But the value of the b and c can be zero for a quadratic equation, but the number of the terms will be missing, so the quadratic equation is incomplete.
The Square Root Property is used in solving incomplete quadratic equations where b is equal to zero. Then the correct option is A.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
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Train A leaves New York for California at the same time Train B leaves California for New York. They are 2900 miles apart. They both travel at an average speed of 120 mph. A. What is the velocity of train A? B. What is the velocity of train B? C. How long will it take before they meet? Show your work.
Answer:
(A) 120 mph
(B) -120 mph
(C) 12 hours 5 minutes.
Step-by-step explanation:
Given that,
New York and California are 2900 miles apart,
Both the trains A as well as B travel at an average speed of 120 mph.
Assuming that the path between the starting point in New York and the ending point in California is straight, so the given distance of 2900 miles is actually the shortest distance which is the displacement between the source and destination.
So, the given speed on the straight path is actually the velocity.
Assuming that the velocity is positive in the direction from New York towards California.
(A) So, the velocity of train A (towards California) = 120 mph.
(B) The velocity of train B (towards New York) = -120 mph.
(C) Bothy are moving towards each other, so the relative velocity between them is 120+120=240 mph, and the initial distance between them is 2900 miles.
When they meet, the displacement between them becomes zero, displacement covered= 2900-0=2900 miles.
So, the time, t, taken to cover the displacement 2900 miles with a relative velocity of 240 mph is
[tex]t=\frac{2900}{240}[/tex] [as time= displacement / relative velocity]
[tex]\Rightarrow t=12\frac{1}{12}[/tex] hours
=12 hours 5 minutes.
A triangle has a base of 3 and a height of 10.
What is it's area?
Answer:
15 square units
Step-by-step explanation:
Equation
Area of a triangle = 1/2 × base × height
Given values:
base = 3 unitsheight = 10 unitsSubstitute given values into the equation:
⇒ Area = 1/2 × 3 × 10
= 15 square units
Answer:
15
Step-by-step explanation:
area=1/2hb
=1/2×10×3
=15
pls brainliest
Which equation can be used to solve the problem
below?
If four times a number is increased by 15,
the result is three less than the result is three less than six times the number. Find the number. Is it A, B, C, or D?
A. 4(x + 15) = 6x - 3
B. 4x + 15 = 6(x - 3)
C. 4x + 15 = 6x - 3
D. 4x + 15 = 3 - 6x
Answer: D. 4x + 15 = 3 - 6x
Step-by-step explanation:
Factor the polynomial by pulling out the GCF, Factor: 3x^2+6
Answer:
3([tex]x^{2}[/tex]+2)
Step-by-step explanation:
3 is the GCF between 3 and 6
Place 3 outside parenthesis then
divide each term by the GCF
A farmer sells 6.8 kilograms of pears and apples at the farmer's market.
3
4
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
1.7 kg
Step-by-step explanation:
3/4 of 6.8 is 1.7 kg so that means the farmer sold 1.7 kg of apples
17.Tickets for this prom cost $20 for a single ticket and $35 for a couple of tickets.
Ticket sales are totaled $2845 and 128 tickets were purchased. With a system of
equations that can model the situation and then solve it by any method. *A. Write
a system of equations to model this situation. . *B. Solve the system of equations.
How many single tickets [blank] couple tickets sold [blank]
20s + 35c = 2845
20s + 35c + 128
Step-by-step explanation:
Let S be the number of single tickets sold.
Let C be the number of couple tickets sold.
[tex]20s + 35c = 2845[/tex]
[tex]s + c = 128[/tex]
Multiplying the lower system by -20 we get;
[tex]20s + 35c = 2845[/tex]
[tex] - 20s - 20c = - 2560[/tex]
Adding the two systems i get;
[tex]35c - 20c = 2845 - 2560[/tex]
[tex]15c = 285[/tex]
[tex]c = \frac{285}{15} = 19[/tex]
Substituting C=19 in s+c=128,
we get that;
[tex]s + 19 = 128[/tex]
[tex]s = 128 - 19[/tex]
[tex]s = 117[/tex]
yes
Who hates french class and now wants to learn italian or spanish
Answer:
im scared
Step-by-step explanation:
I hose french for middle school and i feel like im gonna die
PLEASE HELP!!
Which sentence is the best example of direct address?
A. Parents and kids, listen to what I have to say about destroying
your thirst.
B. When hunger calls, people must obey; we've got just what hunger
demands.
C. If one free shipment is all it takes to be popular forever, why get
left behind?
D. Life in the city can be lonely, but one app brings friends together
instantly
Answer:
A
Step-by-step explanation:
A is the answer because it gives direct address to parents and kids. All the others don't give a direct subject, unlike A that says parents and kids.
If p/q = 3 and p + q = 8, then pq = ?
A. 2
B. 6
C. 8
D. 10
E. 12
SHOW EXPLANATION
Answer:
E. 12
Step-by-step explanation:
1. p÷q=3. p+q=8 We know that p and q are positive, as dividing by a negative number gives a negative product.
2. 4÷4 does not equal to 3, so neither p nor q can equal 4.
3. As 6÷2=3, p=6 and q=2, or it could be the other way around.
4. Since p=6 and q=2, 6x2=12.
5. pq=12.
Hope the explanation helps you!
Which expression is equivalent to this polynomial expression?
(2x^5 + 3y^4)(-4x^2 + 9y^4)
Answer:
-8x^7+18x^5y^4-12x^2y^4+27y^8
Step-by-step explanation:
PLATO
Answer:
[tex]-8x^{6} +18y^{4} x^{4}-12x^{2} y^{4} +27y^{8}[/tex]
Step-by-step explanation:
I did the test and this is the correct answer!
(b) A private club grew by 9 members each week for 81 weeks. What was the total change in the
club's size?
Answer:
729
Step-by-step explanation:
number of members increased by ❌ number of weeks
i need help ASAP will give brainliest if correct please show your work:
.Ava’s gym membership costs $50 each month plus a one-time $100 fee. Mark’s gym
membership costs $60 each month plus a one-time $50 fee. At how many months will
Ava and Mark pay the same amount for a gym membership?
Answer:
5 Months
Step-by-step explanation:
For Avas its 50 dollars times 5 months which equals 250 plus the 100 dollar fee makes 350
For Mark its 60 times 5 equals 300 plus the 50 dollar fee makes also 350
Answer:the correct answer would be 5 months
Step-by-step explanation:
What is the value of x?
Answer:
its 68mm
Step-by-step explanation:
Determine the slope from the following order pairs:
(1,3) (0,1)
Answer:2/1
Step-by-step explanation:
Y1-y2/ x1-x2= 2/1
10. The longest fish Dave caught was 2 ft. 7in. long. His brother caught a fish which was 33 inches long. Who caught the longest fish?
Answer:
his brother
Step-by-step explanation:
because 2 foot 7 inches in inches is 31 inches so therefore his brother has the longer fish.
1 foot = 12 inches.
2 feet x 12 = 24 inches + 7 = 31 inches.
Daves fish was 31 inches.
his brothers fish was bigger.
Fractor 32V - 72
Write your answer as a prouduct with a whole number greater than the number 1 ?
This is a Chalange you will resieve 25 gold coins if you answer this Question weather it is right or wrong. You will also resive a thanks heart and poupularity heart and a friend request.
Answer:
Answer:::::1 only ...I think
Solve for x.
−34x−(−3)=6
A
-3
B
3
C
-4
D
-12
Answer:
B
Step-by-step explanation:
-34x-(-3)=6
-34x+3=6
-34x+3-3=6-3
-34x/-34=3/-34
x=3