Answer:
The midpoint is 5
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two numbers is
[tex]M=(\frac{x1+x2}{2})[/tex]
we have
[tex]x1=-2, x2=12[/tex]
substitute
[tex]M=(\frac{-2+12}{2})[/tex]
[tex]M=(\frac{10}{2})[/tex]
[tex]M=5[/tex]
therefore
The midpoint is 5
The sum of 8 times a number and 6 is equal to 7 times the number
Answer:
8x + 6 = 7x
x = -6
Step-by-step explanation:
this is the solution
Fill in the blanks to make the statement true
2t - t +4= 0
Solving this equation will result in a [quadratic/linear]
equation that
[Can/cannot]
be solved by factoring.
Answer:
[tex]2t-t+4=0[/tex] gives me [tex]t=-4[/tex]
This is a linear equation.
Did you really mean [tex]2t-t+4=0[/tex]? I just want to make sure since you said something about a quadratic in your question.
Step-by-step explanation:
[tex]2t-t+4=0[/tex] can be simplified to [tex]t+4=0[/tex].
This is a linear equation since the exponent on all the variables we have is 1.
To solve [tex]t+4=0[/tex] for t we are going to subtract 4 on both sides:
[tex]t+4-4=0-4[/tex]
[tex]t=-4[/tex]
the ratio of 1/2 to 3 is equal to the ratio of 5 to what number
plz halp ;(
Answer:
5 : 30
Step-by-step explanation:
Note that [tex]\frac{1}{2}[/tex] × 10 = 5
Thus 3 × 10 = 30
Hence
[tex]\frac{1}{2}[/tex] : 3 = 5 : 30
Ratios are used to relate quantities of different measurement
The ratio is equal to the ratio of 5 andThe ratio is given As
[tex]Ratio = \frac 12 : 3[/tex]
Represent the new numbers with P1 and P2.
So, we have:
[tex]P1 : P2 = \frac 12 : 3[/tex]
The second number is 5 So, we have:
[tex]5 : P2 = \frac 12 : 3[/tex]
Multiply the ratio by 10
[tex]5 : P2 = \frac 12 \times 10: 3 \times 10[/tex]
[tex]5 : P2 = 5: 30[/tex]
By comparison
[tex]P2 = 30[/tex]
Hence, the ratio is equal to the ratio of 5 and
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one positive number is 2 more than another. The sum of their squares is 34. Find the smaller number.
Answer:
the numbers are 3 and 5
Step-by-step explanation:
x = first number
y = second number
a. x+2 = y
b. x^2 + y^2 = 34
Replace y from equation a into equation b:
x^2 + (x+2)^2 = 34
Expand it
x^2 + x^2 + 4x + 4 = 34
2*x^2 + 4x = 30
2x^2 + 4x - 30=0
solving x:
x = -5 and x =3 , it says it is a positive number, then it is x is 3
and the second number, y = x + 2
y = 5
Lets test it!
3^2 + 5^ 2 = 9 + 25 = 34
ASAP!!!! Which is an algebraic expression for 5 more than z?
a 5z
b z + 5
c 5z + 5
d 5 – z
Answer: b. Z+5
Step-by-step explanation:
B. Z+5
Let’s say z was 9
The only equation that would work to find 5 more that 9 is 9+5
After a snow storm, michael measured 6 7/8 inches of snow. What is this amount as a decimal????? URGENTTTTT!!
Answer:
The answer is 6.875 inches.
Step-by-step explanation:
After a snow storm, Michael measured [tex]6\frac{7}{8}[/tex] inches of snow.
We will convert this to improper fraction and then solve.
[tex]6\frac{7}{8}=\frac{55}{8}[/tex]
Now we can divide 55 by 8 to get decimal value.
This becomes 6.875 inches.
x + 8 = -7 help me our only got 5 more minutes !
x + 8 = -7
move +8 to the other side
sign changes from +8 to -8
x+8-8= -7-8
x=-7-8
Answer:
x= -15
Answer:
x=-15
Step-by-step explanation:
Subtract 8
x-8+8=-7-8
x=-7-8
x=-15
19. Select other ways to write 50,897. Mark all that apply.
A
(5 X 10,000) + (8 X 100) + (9 X 10) + (7 X 1)
50,000 + 800 + 90 +7
5,000 + 800+90 +7
D
fifty thousand, eight hundred ninety-seven
Answer:
Step-by-step explanation:50,897 is in standard form.
Expanded form is adding all your place values which is 50,000+800+90+7. There was a 0 in the thousand place so you do not add anything for that place value.
So (5×10,000) + (8×100) +(9×10)+(7×1) which is each number times it place value then add them all up.
Written form would be fifty thousand, eight hundred and ninety seven. So your answer is A, B, D
7(5t - 4) – (2 +15t) < 60
Answer:
Step-by-step explanation:
Which ordered pair is part of the solution set of the inequality 12 + y ≤ –3x? Question 11 options: a) (3, –16) b) (4, –1) c) (–16, 3) d) (1, 4)
Answer:
C (-16, 3)
Step-by-step explanation:
[tex] 12 + 3 \leqslant - 3 \times - 16 \\ 15 \leqslant 48[/tex]
replace x and y
Answer:
c) (-16,3)
Step-by-step explanation:
Given: inequality [tex]12+\text{y}\leq -3\text{x}[/tex]
To Find: Which ordered pair is part of the solution set of the inequality
Solution:
Simplifying inequality,
[tex]12+\text{y}\leq -3\text{x}[/tex]
[tex]12}\leq -3\text{x}-\text{y[/tex]
now,
putting ordered pairs from options
a) [tex](3,-16)[/tex]
[tex]-3\times3-(-16)[/tex][tex]16-9=7[/tex]
as [tex]7<12[/tex], it does not satisfy inequality
b) [tex](4,-1)[/tex]
[tex]-3\times4-(-1)[/tex][tex]1-12=-11[/tex]
as [tex]-11<12[/tex], it does not satisfy inequality
c) [tex](-16,3)[/tex]
[tex]-3\times(-16)-(3)[/tex][tex]48-3=45[/tex]
as [tex]45>12[/tex], it satisfy inequality
d) [tex](1,4)[/tex]
[tex]-3\times1-(4)[/tex][tex]-3-4=-7[/tex]
as [tex]-7<12[/tex], it does not satisfy inequality
So, from above only option c is part of the solution set of inequality.
Intr-o clasa sunt 27 de elevi. Daca din clasa ar pleca 3 fete si 4 baieti atunci numarul fetelor ar fii egal cu triplul nr. baietiilor. Cati baieti sunt in casa
The number of boys in class is 9.
How to determine the number of boys in classLet the number of boy = b and girls = g
We can create the following equations from the parameters
b + g = 27 ____(1)
g - 3 = 3(b - 4) ___ (2)
From (1)
g = 27 - b ___(3)
Substitute (3) into (2)
27 - b - 3 = 3(b - 4)
24 - b = 3b - 12
collect like terms
-b - 3b = -12 - 24
-4b = -36
b = 9
Hence, the number of boys is 9
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Which graph represents a function with direct variation? A coordinate plane with a line passing through (negative 4, 0) and (0, negative 2). A coordinate plane with a line passing through (negative 5, 4) and (0, 3). A coordinate plane with a line passing through (negative 4, negative 6) and (0, 3). A coordinate plane with a line passing through (negative 1, negative 4), (0, 0) and (1, 4).
A function with direct variation is a linear function that passes through the origin (0, 0) and has a constant rate of change, the slope. Only the line passing through (negative 1, negative 4), (0, 0), and (1, 4) from the given options fulfills these conditions.
Explanation:In Mathematics, a function with direct variation is a linear function that passes through the origin (0, 0). It can be represented as the equation y = mx, where m is the slope of the line. The slope of the line determines if it is a direct variation. If it's a positive slope, y increases as x increases. If it's a negative slope, y decreases as x increases.
From the given options, only the coordinate plane with a line passing through (negative 1, negative 4), (0, 0), and (1, 4) represents a function with direct variation as it's a straight line passing through the origin.
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write and solve a word problem that matches the diagram shown
Answer: look below
Step-by-step explanation:
Write: -7-(-3)=-4
Solve: -7-(-6)=-1
8.
f(x) = -0.75x
find the inverse function f-1(x) for the given functions f(x)
The inverse function of f(x) = -0.75x is [tex]\(f^{-1}(x) = -\frac{4}{3}x\)[/tex].
What is the inverse of the function?To find the inverse function [tex]\( f^{-1}(x) \)[/tex]for the given function f(x) = -0.75x , you can follow these steps:
1. Start with the original function:
f(x) = -0.75x
2. Replace f(x) with y:
y = -0.75x
3. Swap x and y to solve for x:
x = -0.75y
4. Solve for y:
Divide both sides by -0.75:
[tex]\( y = \frac{x}{-0.75} )\\ \( y = -\frac{4}{3}x \)[/tex]
5. Replace y with [tex]\( f^{-1}(x) \)[/tex]:
[tex]\( f^{-1}(x) = -\frac{4}{3}x \)[/tex]
So, the inverse function for f(x) = -0.75x is [tex]\( f^{-1}(x) = -\frac{4}{3}x \)[/tex].
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Final answer:
The response provides the inverse function of f(x) = -0.75x step-by-step.
Explanation:
Given: f(x) = -0.75x
To find the inverse function f-1(x):
Replace f(x) with y: y = -0.75x
Swap x and y: x = -0.75y
Solve for y: y = x/-0.75 = -4/3x
Therefore, f-1(x) = -4/3x
Use the formula A = Ibh find the height to the nearest tenth of a triangle with a base of 15 and an area of 200.
Answer:
26.7Step-by-step explanation:
The formula of an area of a triangle:
[tex]A=\dfrac{1}{2}bh=\dfrac{bh}{2}[/tex]
b - base
h - height
We have b = 15, A = 200.
Substitute:
[tex]200=\dfrac{15h}{2}[/tex]
[tex]200=7.5h[/tex] divide both sides by 7.5
[tex]\dfrac{200}{7.5}=\dfrac{7.5h}{7.5}[/tex]
[tex]h\approx26.7[/tex]
#43. find (e). also please explain it.
Who was a painter, sculptor, architect, engineer, scientist, philosopher, and a visionary? This person was commissioned by the duke of Milan to create a huge bronze statue of his father on a horse.
A Lorenzo Ghiberti
B Sandro Botticelli
C Leonardo da Vinci
D Donatello
Leonardo Da Vinci was a painter, sculptor, architect, engineer, scientist, philosopher, and a visionary. He was also commissioned to create a bronze statue nicknamed "Leonardo's Horse".
Evaluate 4(3 - 1)2
ОА. 32
Ов. 64
Ос. 16
Op. 128
In order to get this answer you will have to use PEMDAS and solve the expression step by step.
[tex]4(3-1)2[/tex]
Using PEMDAS:
[tex]3-1=2[/tex]
[tex]4\times2\times2[/tex]
[tex]2\times4=8[/tex]
[tex]8\times2[/tex]
[tex]8\times2=16[/tex]
[tex]=16[/tex]
Therefore your answer is option C "16."
Hope this helps.
Answer:
C. 16
Step-by-step explanation:
basically the order of operations states you deal with parentheses first then indices then either division/multiplication and then addition/subtraction
So when you deal with 3- 1=2
the only operation left is multiplication(something in parenthesis stuck on another mathematical term without any other operation attached to it signals multiplication and it is commutative so it can be done in any pair. so u have 4×2×2=16
Seventeen less than eight times a number is equal to 11 more than six times the number.
What is the number?
Answer:
the answer is 14
Step-by-step-explanation
the first equation is 8x-17
the second one is 6x+11
do some simple calculations to find x on both and compare.
Answer:
its 14
Step-by-step explanation:
the first equation is 8x-17
the second one is 6x+11
do some simple calculations to find x on both and compare.
just did it on a Quiz i hop this helped :D
Two planes , which are 2445 miles apart fly toward each other. Their speed differ by 65mph. If they pass each other in 3 hours , what is the speed of each?
The speed of each planes are 375 mph and 415 mph.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now,
Let x be the speed of the slower plane, in mph.
Then, the speed of the other plane is x +40 mph.
Hence, The distance between two planes decreases at the rate;
⇒ x + (x+40)
⇒ 2x + 40 mph.
So, we can write equation as;
⇒ 3950 / (2x+40) = 5
⇒ 3950 = 10x + 200
⇒ 10x = 3750
⇒ x = 375
Thus, The speed of the slower plane = x
= 375 mph.
And, The speed of the other plane = x +40
= 375 + 40
= 415 mph.
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Final answer:
To solve the problem, we use the concept of relative speed and set up an equation with the combined distance traveled by both planes. Solving the equation reveals that the speed of the slower plane is 375 mph and the faster plane is 440 mph.
Explanation:
The problem of two planes flying toward each other with a speed difference and meeting after a certain amount of time is a typical algebra question in relative speed and motion. We can let the slower plane's speed be x mph and the faster plane's speed be x + 65 mph. Since they meet after 3 hours and are 2445 miles apart, the sum of their distances traveled will equal 2445 miles.
Using the equation d = rt, where d denotes distance, r the rate, and t the time, we set up two expressions for the distances each plane travels:
Distance by slower plane: 3xDistance by faster plane: 3(x + 65)We then add these expressions and set the sum equal to the total distance:
3x + 3(x + 65) = 2445
Solving for x, we get:
6x + 195 = 2445
6x = 2445 - 195
6x = 2250
x = 375
Therefore, the speed of the slower plane is 375 mph and the speed of the faster plane is 375 + 65 = 440 mph.
1. Laura gave the clerk $20 for purchases of a
$4.25 notebook and a $3.59 set of markers.
How much change did she receive?
A $12.16
B $12.26
© $13.16
D $13.26
Answer:
A
Step-by-step explanation:
1. 3.59 + 4.25 =7.84
2. 20.00 - 7.84 =12.16
what is the absolute value of -1/3 as a mixed fraction
Answer:
Step-by-step explanation:
/ -1/3 / = 1/3
jonathan went for a jog. every time he stops to tie his shoelaces, his jog lasts 2 1/2 minutes longer. if he stops to tie his shoelaces four times, how much longer does his jog take
Final answer:
When Jonathan stops to tie his shoelaces four times, each adding 2 1/2 minutes, his jog takes an extra 10 minutes in total.
Explanation:
Jonathan stops to tie his shoelaces four times during his jog. Each time he stops, it adds 2 1/2 minutes to his total jog time. To find out how much longer his jog takes, we need to multiply the number of stops by the additional time per stop.
Let's calculate this step by step:
Convert the additional time per stop to an improper fraction, which is 5/2 minutes or 2.5 minutes.Multiply the number of stops, which is 4, by the additional time per stop, which is 2.5 minutes.The total additional time is 10 minutes (2.5 minutes/stop x 4 stops).So, if Jonathan stops to tie his shoelaces four times, his jog will take an extra 10 minutes in total.
Identify the x-intercept.
1) y= 1/5x + 3
2) y= 6x - 7
3) y= -8/3x + 9
The Cooking Club made some pies to sell
at a basketball game to raise money for the
new math books. The cafeteria
contributed three pies to the sale. Each
pie was then cut into five pieces and sold.
There were a total of 40 pieces to sell.
How many pies did the club make?
Division the action of separating something into the parts. It is a basic mathematics operation. The number of pies made by the cooking club to sell at a basketball game to raise money for the new math books is 2.
Given-The cafeteria contributed three pies to the sale.
Each pie was then cut into five pieces and sold.
There were a total of 40 pieces to sell.
What is division?Division the action of separating something into the parts. It is a basic mathematics operation.
Total 40 pieces are there to sell. Each pie was cut into five pieces. Hence the total pie in 40 pieces were,
[tex]=\dfrac{40}{8}[/tex]
[tex]=5[/tex]
Thus total 5 pies was made.
Now as the cafeteria contributed three pies to the sale but we have total 5 pieces was made. For find out the number of pies made by the cooking club we have to subtract the total pies made to the pies contributed by the cafeteria.Thus the number of pies made by the cooking club,
[tex]=5-3[/tex]
[tex]=2[/tex]
Hence the number of pies made by the cooking club to sell at a basketball game to raise money for the new math books is 2.
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If a thermometer is represented by a vertical number line, locate the temperatures that are 4 degrees from 0°C
Answer:
Step-by-step explanation:
The two temperatures that will be located as shown in the vertical number line representing a thermometer will be:
4°C and -4°C
Given that the vertical number line is to be used to represent a thermometer.
If 0 represents 0°C on the vertical number line, therefore:
4 degrees from 0°C will be either be 4 units upwards from 0 on the number line, or 4 units below 0 on the number line.Therefore, the two temperatures that will be located as shown in the vertical number line representing a thermometer will be:
4°C and -4°C
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21. (4pts) Please answer in a complete sentence in Spanish.
¿Te gusta jugar videojuegos?
22. (4pts) Please write your answer in a complete sentence in Spanish using the vocabulary from your course. List at least 2 activities from our course to answer the question.
¿Qué te gusta hacer?
23. (4pts) Answer the following question in a complete sentence in Spanish. List at least 2 activities from our course to answer the question.
¿Qué no te gusta hacer?
24. (4pts) Using your course vocabulary what are two ways to agree with someone in Spanish? Hint: These are the ways to say “Me too” and “Me either” in Spanish.
25. (4pts) Answer the following question in a complete sentence in Spanish.
¿Qué te gusta más, esquiar o nadar?
This answer provides complete sentences in Spanish to answer the questions, along with examples of activities and ways to agree in Spanish.
Explanation:21. Sí, me gusta jugar videojuegos. (Yes, I like playing video games.)
22. Me gusta leer y practicar deportes. (I like reading and practicing sports.)
23. No me gusta hacer ejercicio y estudiar matemáticas. (I don't like exercising and studying math.)
24. Dos formas de estar de acuerdo en español son: 1) A mí también, 2) Yo tampoco. (Two ways to agree in Spanish are: 1) Me too, 2) Me either.)
25. Me gusta más nadar que esquiar. (I like swimming more than skiing.)
Learn more about Spanishhttps://brainly.com/question/32661884#SPJ1248 less than 4 times a number is equal to the number
Answer:
Step-by-step explanation:
4x - 48 = x there is the equation
Answer:
x = 48/5
Step-by-step explanation:
Let x = number, then:
[tex]48 - 4x = x[/tex]
By adding 4x on each side:
[tex] 48 - 4x + 4x = x + 4x[/tex], which is [tex] 48 = 5x [/tex]
Then, divide by 5 on both sides:
[tex]\frac{48}{5} = \frac{5x}{5}[/tex]
Simplifying x = 48 / 5
Find the area of the figure. (Sides meet at right angles.)
Answer:
The area of the figure is 48 cm^2
Step-by-step explanation:
Break it into 3 different quadrilaterals and find the area of each one.
Find the volume of the earth if the diameter is 7917.5 miles.
Final answer:
The volume of the earth is approximately 1.0839 x 10¹⁵ cubic miles.
Explanation:
To find the volume of the earth, we can use the formula for the volume of a sphere: V = (4/3)πr³. Since we are given the diameter of the earth, we can calculate the radius by dividing the diameter by 2. In this case, the diameter is 7917.5 miles, so the radius is 3958.75 miles. Now, we can substitute the radius into the formula to find the volume:
V = (4/3)π(3958.75 miles)³
V ≈ 1.0839 x 10¹⁵ cubic miles.