Answer:
x = 7
Step-by-step explanation:
The equation of a vertical line has equation of the form
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (7, - 3) with x- coordinate 7 , thus
x = 7 ← equation of vertical line
im a lil stuck on this :v
Answer:
C-----> x<-7
Step-by-step explanation:
first u do this to turn x in positive and consequently change the > to an <:
(-1).(-4x)>28.(-1)
so:
4x<-28
x<-7
# when multiplying each side by (-1), you have to change the symbol (>) to an (<), or (<) to an (>)
3. The total cost after tax to repair Deborah's computer is represented by , where h represents the number of hours it takes to repair Deborah's computer. a. What part of the expression represents the amount of tax Deborah has to pay? Explain. (3 pts) b. What would the expression be if the company charged Deborah $45 per hour to repair the computer (plus tax)? (3 pts)
Complete question :
Answer:
Kindly check explanation
Step-by-step explanation:
Given the expression :
Total cost after tax = 0.08(50h) + 50h
a. What part of the expression represents the amount of tax Deborah has to pay? Explain
0.08(50h) represents Tha amount of tax Deborah has to pay. This can be interpreted as :
Recall;
Tax amount = tax rate * cost
Cost of repair = 50h = 50 per hour
Tax rate = 0.08 = 8% of the total cost;
Hence; 0.08(50h) = tax Deborah has to pay.
What would the expression be if the company charged Deborah $45 per hour to repair the computer (plus tax)?
If she was charged $45 per hour plus tax. Expression becomes ;
Total cost after tax = 0.08(45h) + 45h
= 3.6h + 45h
= 48.6h
Which of the following statements correctly justifies the steps in the solution below?
Given
Step 1
Step 2
Step 3
Step 4
6(3x 4) - 26 40
18x - 24 - 26 40
18x - 50 40
18x = 90
X = 5
0 The Division Property is used to create Step 4.
The Associative Property is used to create Step 1.
The Distributive Property is used to create Step 3.
The Subtraction Property is used to create Step 2.
Answer:
The Division Property is used to create Step 4.
Step-by-step explanation:
i might be incorrect, but here's the whole equation just in case:
6(3x−4)−26=40
6(3x−4)−26=40
(6)(3x)+(6)(−4)+−26=40(Distribute)
18x+−24+−26=40
(18x)+(−24+−26)=40(Combine Like Terms)
18x+−50=40
18x−50=40
18x−50+50=40+50
18x=90
18x/18 = 90/18
x=5
PLZZZZZZZ ANSWERRR!!! I"LL BUY YOU CHOCOLATEEE!!!!!!!!(WHATEVER KING YOU WANT!!!!!
What is the value of the expression 9×8+2^4
Answer:
88
Step-by-step explanation:
9 × 8 + 16
72 + 16
88
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Complete the equations with powers of 101010. 720{,}800 \div {}720,800÷720, comma, 800, divided by =7.208=7.208equals, 7, point, 208 720{,}800 \div {}720,800÷720, comma, 800, divided by =72.08=72.08equals, 72, point, 08 720{,}800 \div {}720,800÷720, comma, 800, divided by =720.8=720.8
Answer:
Step-by-step explanation:
Given the expression [tex]\frac{720,800}{x} = 7.208[/tex], we are to find the value of with powers of 10.
From the equation:
[tex]\frac{720,800}{x} = 7.208[/tex]
cross multiply
[tex]720,800 = 7.208x\\7.208x = 720,800[/tex]
divide both sides by 7.208
[tex]\frac{7.208x}{7.208} = \frac{720,800}{7.208} \\x = 100,000[/tex]
express x in powers of 10
[tex]x = 10 * 10 * 10 * 10* 10\\x = 10^5[/tex]
Similarly given the equation [tex]\frac{720,800}{y} = 72.08[/tex]
From the equation:
[tex]\frac{720,800}{x} = 72.08[/tex]
cross multiply
[tex]720,800 = 72.08x\\72.08x = 720,800[/tex]
divide both sides by 7.208
[tex]\frac{72.08x}{72.08} = \frac{720,800}{72.08} \\x = 10,000[/tex]
express x in powers of 10
[tex]x = 10 * 10 * 10 * 10\\x = 10^4[/tex]
For the equation [tex]\frac{720,800}{z} = 720.8[/tex]
From the equation:
[tex]\frac{720,800}{z} = 720.8[/tex]
cross multiply
[tex]720,800 = 720.8z\\720.8z = 720,800[/tex]
divide both sides by 7.208
[tex]\frac{72.08z}{720.8} = \frac{720,800}{720.8} \\z = 1,000[/tex]
express x in powers of 10
[tex]z = 10 * 10 * 10\\z = 10^3[/tex]
The dividing 720,800 by 101010 successively four times in the parentheses results in 720.8
To complete the equations using powers of 101010:
720,800 ÷ (720,800 ÷ 720,800) = 7.208 = 7.208 equals 7.208
Explanation: Dividing 720,800 by 720,800, and then dividing the result by 720,800, yields 7.208.
720,800 ÷ (720,800 ÷ (720,800 ÷ 101010)) = 72.08 = 72.08 equals 72.08
Explanation: Dividing 720,800 by 101010, and then dividing 720,800 by the result, and finally dividing 720,800 by the new result, gives us 72.08.
720,800 ÷ (720,800 ÷ (720,800 ÷ (720,800 ÷ 101010))) = 720.8 = 720.8 equals 720.8
To know more about parentheses here
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There are 130 people in a sport centre. 65 people use the gym. 51 people use the swimming pool. 44 people use the track. 15 people use the gym and the pool. 14 people use the pool and the track. 10 people use the gym and the track. 1 person uses all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?
Answer:
0.285
Step-by-step explanation:
Total peoples are, n=130
Number of people who use gym =65
Number of people who use swimming pool =51
Number of people who use the track =44
Number of people who use the gym and the pool =15
Number of people who use the pool and the track =14
Number of people who use the gym and the track =10
Number of people who use the gym, the pool, and the track =1
So, the number of people who use the gym and the pool =15-1=14
The number of people who use the pool and the track =14-1=13
The number of people who use the gym and the track =10-1=9
Now, the people who use at least two facilities are the people who use 2 or 3 facilities, which is 14+13+9+1=37.
So, the number of favorable outcomes =37
Total number of sample space, n=130
Hence, the probability, P, that the 1 randomly selected person uses at least 2 facilities is as follows:
[tex]P=\frac{37}{130}=0.285[/tex]
On a recent survey, 60% of those surveyed indicated that they preferred walking over running. If 540 people preferred walking, what EQUATION would be used to find how many were surveyed?
Answer:
.6x=540, x= number surveyed
Step-by-step explanation:
.6×=540
x=number surveyed
60% of number surveyed is 540
multiply where "of" is and "is" is the equal sign
i need the answer to 14+3c=35
Answer:
c = 7
Step-by-step explanation:
14 + 3c = 35
Move the constants to the right.
3c = 35 - 14
Calculate.
3c = 21
Divide both sides.
c = 7
If f(x) = x^3 + 6, what is the value of f(3)?
A=4ℼR2 solve for R
SHOW ALL STEPSSSSSSSSS
Answer:
[tex]R=\frac{1}{2} \sqrt{\frac{A}{\pi }}[/tex]
Step-by-step explanation:
To solve an equation for one of its value
Underline the variable you need to solve for itSeparate this variable on one side and other terms on the other sideMake its coefficient equal to 1∵ A = 4πR²
→ Underline R
∴ A = 4πR²
→ Move 4π to the other side by dividing both sides by 4π
∵ [tex]\frac{A}{4\pi }=\frac{4\pi R^{2} }{4\pi }[/tex]
∴ [tex]\frac{A}{4\pi }=R^{2}[/tex]
→ To find R take √ for both sides
∴ [tex]\sqrt{\frac{A}{4\pi }}=\sqrt{R^{2} }[/tex]
→ You can simplify [tex]\sqrt{\frac{1}{4}}[/tex] to [tex]\frac{1}{2}[/tex]
∴ [tex]\frac{1}{2} \sqrt{\frac{A}{\pi }}=R[/tex]
→ Switch the two sides
∴ [tex]R=\frac{1}{2} \sqrt{\frac{A}{\pi }}[/tex]
Use the equation to answer the following question.
y = 12x – 48
Which of the following phrases describes characteristics for the graph of the equation?
Question 1 options:
a line with a positive slope that crosses the x-axis at a positive value.
a line with a positive slope that crosses the y-axis at a negative value.
a line with a negative slope that crosses the y-axis at a positive value.
a line with a negative slope that crosses the x-axis at a negative valu
Answer:
A line with a positive slope that crosses the x-axis at a positive value
Step-by-step explanation:
it would be A because it would be going through quadrant 1 and 5 which has positive values as there divider
(-1-7f)to the power of 2
please explain
Answer:
The product to this problem is simplified to: [tex]1+14f+49f^{2}[/tex]
Step-by-step explanation:
1) First place out what was given:
[tex](-1 -7f)^{2}[/tex]
Squared is the same thing as multiply to itself, so you would create a pair of
[tex](-1 -7f)^{2}[/tex]
(For example, if you said: [tex]x^{2}[/tex] it is the same as saying or putting: x · x)
2) Then create your pair which would look like:
[tex](-1 -7f)(-1 -7f)[/tex]
3) Next step is to do the FOIL method
(The FOIL method is where you do First, Outside, Inside, an Last)(Like how it is shown in the picture, we will do this method and create one whole expression!)
4) Creating and combining your expression into one whole problem, by using the foil method.
[tex](-1 -7f)(-1 -7f)[/tex]
First - F: [tex]1[/tex]
Outside - O: [tex]7f[/tex]
Inside - I: [tex]7f[/tex]
Last: [tex]49f^{2}[/tex]
This will be:
[tex]1+14f+49f^{2}[/tex]
And this will be your answer!
ab + cd = e
solve for c
Answer:
c= e/d-ab/d
Step-by-step explanation:
The equation ab + cd = e is solved for the variable 'c' will be c = (e + ab) / d.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
ab + cd = e
Simplify the equation for c, then we have
ab + cd = e
cd = e + ab
c = (e + ab) / d
The equation ab + cd = e is solved for the variable 'c' will be c = (e + ab) / d.
More about the solution of the equation link is given below.
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A local store sells bags of game pieces with various colors. four out of every 19 pieces are red. The store sold a bag with 76 game pieces. What number of the game pieces are red?
There are 16 game pieces are red.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Given:
Total game pieces = 76
Four out of every 19 pieces are red.
So, number of rounds
= 76/19
= 4
Then, number of red pieces= 4x4=16
Hence, there is 16 red pieces.
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I need help with this please I’m dumb
Answer:
For number 2 the answer is X=5,-2
and for number 3 the answer is there is no solution
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (1, -3) and (-7, -7).
Answer:
y= 3/2 x −11
Step-by-step explanation:
Kendra is choosing bouquets of flowers for table centerpieces.
She decides to buy 40 bouquets for $120 because she thinks that price is a better value than 40 bouquets for $2.50 each.
Explain Kendra’s error
Answer:
She messed up because if a bouquet costs $2.50 then 2.50 times 40 is $100 so she could have saved 20 more dollars
Answer:
Sample Response: To find the unit cost for her choice, divide $120 by 40 to get $3.00 per bouquet. This unit cost is more than the other deal.
Step-by-step explanation:
it was on edg and it told me that it was the right ↑↑
hope it helps :b
PLZ TELL ME IF THIS IS RIGHT!!! THX
Answer:
correct
Step-by-step explanation:
x means up and down and it is at -3
y means side to side and it is at -7
A company sells phone cases for $15 each. At the end of the week, they have sold $570 worth of phone cases. How many phone cases did they sell? Write and solve an equation to find the answer.
a. What is the equation that represents this problem?
b. How many phone cases did they sell?
Answer:
They sold 38 phone cases.
Step-by-step explanation:
The equation I used to solve is
[tex]570 \div 15[/tex]
What force is necessary to accelerate a 1250 kg car at a rate of 40 m/s2?
Answer:
F=ma
F=1250*40
F=50000N
Please help !!!!!!!
Find the sum of the interior Angle measures of the polygon.
pls help
8(t + 2) - 3(t - 4) = 6(t - 7) + 8
what is t?
Answer: t = 62
**look at attachment for explanation
25x10 to the power of 6 in standard form
Answer:
25000000
Step-by-step explanation:
10 * 10 * 10 * 10 * 10 * 10 * 10
25 * 10^6 = 25 * 1000000
I think.
what is the square root of 9/36
Answer:
Exact Form:
1/2
Decimal Form:
0.5
Step-by-step explanation:
which ratio is greater than 11/16
Answer:
3:4
Step-by-step explanation:
because in a simplified ratio, it tells us that in any set of whatever number (total of 3 and 4), there will be a quantity in simplification of 3 on one side.
3:4 is also a simplified ratio which can be reversed to a higher fraction than 11/16 (which would be 11:16 in ratio form fue to the inability to simplify) therefore making it a greater ratio.Tres amigos quieren rentar una cuatrimoto la cual cuesta $400 por una hora cada uno pone las siguientes cantidades Adriana 50 Luis 160 y Ramiro el resto cuánto tiempo debe subirse cada quien de acuerdo a las recupero con operaciones por favor y una explicación
Answer:
Adriana debe subirse durante 7.5 minutos, Luis durante 24 minutos y Ramiro 28.5 minutos.
Step-by-step explanation:
Asumamos en primer lugar que los tres amigos rentan la cuatrimoto durante una hora, entonces cada persona utiliza la cuatrimoto en proporción al dinero. A continuación, obtenemos el tiempo estimado por cada usuario a partir de una regla de tres simple:
[tex]\Delta t = \frac{c_{a}}{c_{r}}\cdot (60\,min)[/tex]
Donde:
[tex]\Delta t[/tex] - Tiempo de uso de la cuatrimoto, medido en minutos.
[tex]c_{a}[/tex] - Dinero aportado por el usuario, medido en pesos.
[tex]c_{r}[/tex] - Coste de renta de la cuatrimoto, medido en pesos.
Entonces calculamos el tiempo correspondiente a cada amigo:
Adriana ([tex]c_{a} = \$\,50[/tex], [tex]c_{r} = \$\,400[/tex])
[tex]\Delta t = \frac{\$\,50}{\$\,400}\times 60\,min[/tex]
[tex]\Delta t = 7.5\,min[/tex]
Luis ([tex]c_{a} = \$\,160[/tex], [tex]c_{r} = \$\,400[/tex])
[tex]\Delta t = \frac{\$\,160}{\$\,400}\times 60\,min[/tex]
[tex]\Delta t = 24\,min[/tex]
Ramiro ([tex]c_{a} = \$\,190[/tex], [tex]c_{r} = \$\,400[/tex])
[tex]\Delta t = \frac{\$\,190}{\$\,400}\times 60\,min[/tex]
[tex]\Delta t = 28.5\,min[/tex]
Adriana debe subirse durante 7.5 minutos, Luis durante 24 minutos y Ramiro 28.5 minutos.
Find the first four terms of the sequence an = 5n-1.
Answer:
let's see what to do buddy...
Step-by-step explanation:
" First four terms " means :
t(1) , t(2) , t(3) , t(4)
[tex]t(1) = a(1) = 5(1) - 1 = 5 - 1 = 4 \\ t(2) = a(2) = 5(2) - 1 = 10 - 1 = 9 \\ t(3) = a(3) = 5(3) - 1 = 15 - 1 = 14 \\ t(4) = a(4) = 5(4) - 1 = 20 - 1 = 19 \\ \\ t(1) = 4 \\ t(2) = 9 \\ t(3) = 14 \\ t(4) = 19[/tex]
So the first four terms
are : 4 , 9 , 14 , 19
Alan has 6 water bottles in her desk. In how many different ways can he choose 2 water bottles?
Answer:
15 ways
Step-by-step explanation:
The answer would be 6 choose 2, which is:
[tex]\frac{6!}{2!4!} = \frac{6\cdot5\cdot4!}{4!2!}=\frac{6\cdot5}{2}=15[/tex]
Therefore, there are 15 ways to choose 2 of the 6 water bottles Alan has.
By the way, if this helps, could you please give me brainliest? :)
can i get help determining the value of x
Answer:
i think its the first one
Step-by-step explanation:
SORRY if you get it wrong
Beth is designing a business card. She makes a scale drawing of her old business card by using a scale factor of Five-fourths. Her scale drawing is a 2 and one-half-inch by 5-inch rectangle. The print shop says that the scale drawing is a reduction of the original card because the original card must be 3 and StartFraction 1 over 8 EndFraction inches by 6 and one-fourth inches. Which explains the print shop's error and gives the correct dimensions of Beth's original card?
Answer:
The width and length of the old card are 2 inches and 4 inches respectively.
Step-by-step explanation:
The given scale factor, [tex]C=\frac{5}{4}[/tex]
She draws is a rectangle by using the scale factor of C.
The width of her drawing, [tex]b=2\frac{1}{2}[/tex] [tex]=\frac{5}{2}[/tex] inch, and
the length of the drawing, [tex]a=5[/tex] inch.
Let [tex]a'[/tex] and [tex]b'[/tex] be the length and width of her reference business card (the old one as mentioned).
[tex]\text{Scale factor}=\frac{\text{New dimension}}{\text{Reference dimention}}[/tex]
Here, the dimension is the length of the sides of rectangular cards.
So, [tex]C=\frac{a}{a'}[/tex] and [tex]C=\frac{b}{b'}[/tex]
[tex]\Rightarrow \frac{5}{4}=\frac{5}{a'}[/tex]
[tex]\Rightarrow a'=4[/tex] inch
and [tex]\frac{5}{4}=\frac{5/2}{b'}[/tex]
[tex]\Rightarrow b'=2[/tex] inch
So, the old business card is of the dimensions 2 inches by 4 inches, which are the correct dimensions.
Actually, the print shop multiplied he scale-factor, C, with the new scaled length to get the reference length (lengths of original old card), which was the error. In, fact, as already described earlier, the new dimensions can be obtained by multiplying the scale-factor, C, with the reference dimensions.
Answer:
C. The scale factor is a fraction so the scale drawing is a reduction, and the original card is 2 inches by 4 inches.
Step-by-step explanation: