Answer:
x=4
Step-by-step explanation:
5x-2.5=17.5
5x=17.5+2.5
5x=20
x=20/5
x=4
The solution of the given equation is x=4
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We are given the equation as;
5x-2.5=17.5
Solving for x;
5x=17.5+2.5
5x=20
x=20/5
x=4
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An angle measures 9.4° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
x = one angle
90 - x = complementary angle {complementary angles add up to 90�}
x = 90 - x + 86 {one angle is 86� more than its complementary angle}
x = -x + 176 {combined like terms on right}
2x = 176 {added x to each side}
x = 88 {divided each side by 2}
90 - x = 2 {substituted 88, in for x, into 90 - x}
one angle is 88�
the complementary angle is 2�
Step-by-step explanation:
Charles has his teammates how many hours they practice swimming during the week he recorded his data in the table below and use the shaded columns to calculate the three sample means what is the range of values for the
Answer:
B or 2, I took this test.
Step-by-step explanation:
Answer: B
Step-by-step explanation: 2
___
H is the midpoint of IJ and IH = 0.75 find HJ
Do any of you know how to rewrite the equation
X+y=3
Into something where it has x= or y= instead of it =3?? I have to graph it on a graph but don’t know how to do it with the equation set up like this.
HELP ME PLEASE I DO NOT KNOW THIS! WILL GIVE BRAINLIEST
Answer:
8 is the answer
Step-by-step explanation:
Pls mark me the brainliest ☺☺
Mia and her friends are planning a trip to the movies. They can go to the movies on Friday, Saturday, or Sunday, and there are 10 different movies at the theater. Which expression represents the number of different combinations of day and movie Mia and her friends can choose?
Answer:
30
Step-by-step explanation:
There are 3 days, and 10 movies.
3 x 10 = 30
ABCD is a parallelogram. If m/CDA = 63, then m/ABC = ? . The diagram is not to scale
it’s 63 because the sides are equal on both sides
find the highest common factor using prime factorization for 27y and 54y³
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get
[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]
[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]
Now, the common prime factors are 3, 3, 3 and y. So,
[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]
[tex]HCF=27y[/tex]
Therefore, the highest common factor of the given terms is 27y.
Sylvia has $30 to spend on three gifts she spent 11 9/10 the dollars on gift a and 4 3/5 dollars on gift b how much money does she have left for gift c
Answer:
$13.50
Step-by-step explanation:
30 - (11.90 + 4.60) = 30 - 16.50 = 13.50
In rectangle ABCE, AC is the diagonal. BD⟂AC at O. AB = 13, OA=5. Find the length of OD and OB
plz answer with explanation
Answer:
ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?
The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.
The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5
Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So
[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5
= [7.5*1.5*2*4]^0.5
= 90^0.5 sq cm
Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or
2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get
4*90 = [s1(s1-p)(s1-q)(s1-r)]
360 = s1(s1–11)(s1–6)(s1-AD) … (1)
2s1 = AD + 11 + 6 = AD + 17, or
s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get
360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)
360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)
360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)
= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)
= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)
360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or
-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or
0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or
0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or
AD^3 - 168.5 AD^2 + 6492.5 = 0, or
By trial and error, AD = 6.3272
Check: AD^3 - 168.5 AD^2 + 6492.5
6.3272^3 - 168.5*6.3272^2 + 6492.5
253.3- 6745.6 + 6492.5 = 0.2 as against 0
Hence AD = 6.3272 cm.
Answer:
Assuming you really mean the rectangle is ABCD, not ABDE:
Since DB is perpendicular to AC, it must be square.
If OA = 5, then OB = OC = OD = 5
This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.
5^2 + 5^2 =AB^2 = 7.07, not 13
4. Which of the following numbers is not a solution of the inequality 3x – 5 > 4x – 3?
a. -1
b. -2
c. -3
d. -5
Options c and d are correct.
What is inequality?A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
What is solution for inequality?A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement.
According to the given question
We have an inequality
3x - 5 > 4x - 3
⇒ 3x - 4x > -3 + 5
⇒ -x > 2
⇒ x < -2
Hence, those numbers which are less than -2 will be the the solutions of the given inequality 3x - 5 > 4x - 3. Therefore options c and d are correct.
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Four crayons are packaged in a row, three primary colors are touching. If neither is red or blue, which crayon is first
Answer:
yellow
Step-by-step explanation:
Megan’s TV had a base price of $189 and the sales tax was 6.88%. Over the next four years, the TV consumed an average of $0.06 of electricity every day. It also needed repairs twice, costing $29 each time. After four years, Megan got a new TV. What was the lifetime cost of Megan’s TV? (Remember that one in every four years is a leap year.)
a.
$357.68
b.
$318.66
c.
$347.66
d.
$351.65
Answer:
Step-by-step explanation:
price of tv and sales tax = 1.0688×$189 = $202.0032 ≅ $202.00
4 years = 3×365 days + 366 days = 1461 days
cost of electricity = 1461 days × $0.06/day = $87.66
lifetime cost = purchase price + electricity + repairs
= $202.00 + $87.66 + 2·$29
= $347.66
Answer:
347.66 is your answer
Step-by-step explanation:
glad to help btw the answer is on edge 2021.
The area of Ms. Anderson’s office floor measures 120
square feet. She puts down a carpet that covers 40%
of the floor. What is the area of Ms. Anderson’s floor not covered by the carpet?
Answer:
72 square feet not covered
Step-by-step explanation:
100%-40% = 60%
60% of 120 = 0.6x120 = 72
Answer:
72
Step-by-step explanation:
because i know
2, 3,6
Write the fact family formed by these numbers.
Answer:
♀️
Step-by-step explanation:
villian
Answer:
2, 3, and 6:
2 X 3 = 6,
3 X 2 = 6,
6 � 2 = 3
6 � 3 = 2.
Hope it helps
Please mark me as the brainliest
Thank you
If a movie theater sells 400 tickets for a total of
$6800, how much would they make if they sold 1500
tickets?
Answer:
they would make $25,500
Step-by-step explanation:
6,800/400=17
1,500*17=25,500
answer :$25,500
Which variable is most important to the following problem? After two hours, Kaylee measured the temperature of a mixture to be 62.7°F. She noticed it was 3:47 p.m. At 4:58 p.m., the temperature reached its peak at 89.4°F. How much did the temperature of the mixture increase between 3:47 and 4:58?
Pls help I’ll brainlest ASAP and add extra points
Answer:
3 to 6 making 9 multiply by 4 giving 36
add 3 by 4 = 36
same
lmk of u hv questions
does the table represent a proportional relationship?
x 3 6 9 12
y 7 13 19 25
Answer:
x does y does not
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!
3. The nth term of a Sequence is given by an =
n/n+2
If the Domain of the Sequence is {1,2,3,4,5} choose the correct range of the Sequence
Answer:
answer b :) i hope this helps
You enter an elevator and go down 7 floors you exit on the 10th floor. Write an equation you can use to find the floor where you entered the elevator
What is 1/7 divided by -2 and 2/3
Answer:
Step-by-step explanation:
1/7 divided by -2 2/3
= 1/7 divided by -8/3 (changed the mixed number to an improper fraction!)
= 1/7 MULTIPLIED by -3/8 (when you divide a fraction, you must switch the sign opposite to what you are doing, in this case dividing, so the opposite of that is multiplying. You also flip the fraction that you are dividing by so -8/3 becomes -3/8)
= -3/56 (a positive times a negative number will result in a negative number!)
I hope this helps, if this is wrong, please specify so I can help :)
Find the area of the triangle
The area is =
(Simplify your answer)
Answer:
52.5 yd²
Step-by-step explanation:
1/2(10)(10.5)=52.5
How do I do simple fractions
Answer:
i forgot just look it up that is what i do sometimes i look up videos
Step-by-step explanation:
Find the value of x.
12
12
x = [?]
Step-by-step explanation:
step 1. The segment x is made up of 2 equal lines which are connected in the middle to another segment 12 units long.
step 2. the intersection of these two segments must create a 90° angle because the two lines are equal.
step 3. The lower segments are identical to the upper segments.
step 4. therefore x = 11(2) = 22.
A utility line runs underground through Ursula's rectangular backyard. Ursula is not allowed to dig within 4 feet of the utility line. The diagram below shows the dimensions of Ursula's backyard in feet. The dashed line represents the utility line.
Answer:
it's 272 feet square because if it is the area then you can dig it
A = bh
A = 22(17) -6(17)
A = 272
Simplify: 7^6 divided 7^2
Answer:
The answer is 1/3
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
~Hoped this helped~
help please!!! thanks
Answer:
27
Step-by-step explanation:
first we can simplify by dividing by r
[tex] \frac{9 {r}^{2} }{r} = \frac{9 \times r \times r}{r} = 9 \times r \times 1 = 9r[/tex]
the r on the bottom of the fraction will cancel out one of the r's on top, this happens because anything divided by itself is 1, thus r divided by r is 1
finally we can evaluate when r =3,
9r = 9(3) = 27
solve for n.
1.) 7.26 × 0.22=n
2.) 17.92 × 0.64=n
3.) 7.65 × 0.65=n
4.) 36.20 × 0.05=n
5.) 31.86 × 0.92=n
Answer:
1.) 1.5972
2.) 11.4688
3.) 4.9725
4.) 1.81
5.) 29.3112
4x^2-19x-5=0
Solve by factoring
Answer:
x= −1/4 or x = 5
Step-by-step explanation:
Step 1: Factor left side of equation.
(4x+1)(x−5)=0
Step 2: Set factors equal to 0.
4x+1=0 or x−5=0
Answer:
x= −1/4 or x = 5
The factored form of the equation 4x²- 19x - 5 = 0 is (4x+1)(x-5).
The given equation is 4x²- 19x - 5 = 0.
To factor the quadratic expression on the left-hand side into two binomials.
The binomial factors will have the form (ax + b)(cx + d).
We need to find two numbers whose product is equal to ac (the coefficient of x² term) multiplied by d (the constant term), which is (4)(-5) = -20, and whose sum is equal to the coefficient of the x term, -19.
After considering different factor pairs of -20, we find that -20 and +1 satisfy the requirements.
(4x² - 20x) + (x - 5) = 0.
4x(x - 5) + (x - 5) = 0.
(4x+1)(x-5)=0
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