Answer:
Step-by-step explanation:
I assume you mean "if the ratio of 7 less than a number and 7 more than the number is 2".
Let x be the number.
Ratio is division.
(x-7)/(x+7)=2
Multiply by (x+7) on each side:
x-7=2(x+7) = 2x+14
Add 7 on each side
x=2x+21
Subtract 2
-x=21
x=-21
Please help with this math problem for trig. A 6 m ladder is leaning against a wall. The base of the ladder is 1.5 m from the wall. Calculate how high up the wall the ladder reaches.
Answer:
a = 5.81 m
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2
where b= 1.5 and c= 6
a^2 +1.5^2 = 6^2
a^2 +2.25 = 36
Subtract 2.25 from each side
a^2 +2.25-2.25 = 36-2.25
a^2 = 33.75
Take the square root of each side
sqrt(a^2) = sqrt(33.75)
a = 5.809475019
We only take the positive root because length must be positive
A system of equations is graphed on a coordinate plane.
Which coordinates are the best estimate of the solution to the system of equations?
(6, 0)
(0, 5)
(1, 4)
(1, 5)
Answer:
Option C is correct.
(1, 4)
Step-by-step explanation:
A system of equation is given :
2x + 3y =12 .....[1]
4x + 2y =10 .....[2]
Multiply equation [1] by 2 both sides we get;
[tex]2(2x+3y) = 2(12)[/tex]
Using distributive property i,e [tex]a \cdot(b+c) = a\cdot b+ a\cdot c[/tex]
4x + 6y = 24 .....[3]
Subtract equation [2] from [3] to eliminate x we get;
4x + 6y - 4x - 2y= 24 - 10
Combine like terms;
4y = 14
Divide both sides by 4 we get;
y = 3.5
Substitute the value of y in equation [1] we have;
2x + 3(3.5) =12
2x + 10.5 = 12
or
2x = 12 -10.5
2x = 1.5
Divide both sides by 2 we get;
x = 0.75
Solution = (0.75 , 3.5)
Best estimate solution = (1, 4)
Therefore, the best estimate solution of the given system of equation is, (1, 4)
Answer:
1,4 is the best estimate.
Step-by-step explanation:
PLZ HELP!!!!!!!!!!!!!!!!! Pick either one prime number or one composite number and create a rectangle diagram to show that it is prime or composite. You can draw the image by hand on a grid and photograph it, make a slide, or use other software to create your diagram. Post your diagram to the discussion board. B. Review posts from two other students. Choose a post that has no responses or only one response first. In your comment, assign the original poster a new number to diagram. Be sure to switch it up between prime and composite numbers!
Answer:
your answers are 2,and 18
Step-by-step explanation:
graph the equation y=2x-3 using slope and y-intercept
Answer: The slope of the graph is 2x. In other words, rise over run: move up 2 and move to the right 1 because it is 2 over 1. The y-intercept is -3, which means you move down 3 on the y-axis.
9x-6a=-7,find x when a =-7
Answer:
Step-by-step explanation:
Plug in -7 for the variable a.
9x - 6(-7) = -7
Follow PEMDAS. Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.
Multiply -6 with -7
9x - 6(-7) = -7
9x + 42 = -7
Isolate the variable x. Subtract 42 from both sides
9x + 42 (-42) = -7 (-42)
9x = -49
Divide 9 from both sides
(9x)/9 = (-49)/9
x = (-49)/9
x = ~5.44 (rounded)
~
A recipe for one batch of KFC buttermilk biscuits calls for 1 ½ cups all-purpose flour, 1 teaspoon salt, 1 tablespoon sugar, 1 tablespoon baking powder, 1/3 cup vegetable shortening, and ⅔ cup buttermilk.
What happens when we double the recipe?
Cup all-purpose flour _____
Teaspoon salt _____
tablespoon sugar ______
Baking Powder _______
Answer:
See below.
Step-by-step explanation:
Original Doubled Ingredient
1½ c ⟶ 3 c all-purpose flour (2×1½ = 2×1 + 2×½ = 2+1 = 3)
1 tsp ⟶ 2 tsp salt
1 Tbsp ⟶ 2 Tbsp sugar
1 Tbsp ⟶ 2 Tbsp baking powder
⅓ c ⟶ ⅔ c vegetable shortening
⅔ c ⟶ 1⅓ c buttermilk (2×⅔ = ⁴/₃ = 1⅓)
2 Emma buys 33 yards of blue fabric and some yellow fabric at a store. She buys a total of 53 yards of fabric. The equation 1 2 5333can be used to represent this situation, where y is the number of yards of yellow fabric she buys. How much yellow fabric does she buy?
Step-by-step explanation:
your answer is 99
PLZ DO ASAP NEED LIKE NOW HELP ME PLZ
What is the equation of this graphed line? y = mx + b m is the slope b is the y intercept (where does the line cross the y - ordered pair) x and y can be a point on the line m = y2 - y1/x2 - x1 A graph with a line running through coordinates (-4, -6) and coordinates (2, 6) Enter your answer in slope-intercept form in the box.
Answer:
y = 2x+2
Step-by-step explanation:
When we have 2 points, we can find the slope from
m = (y2-y1)/(x2-x1)
= (6--6)/(2--4)
= (6+6)/(2+4)
= 12/6
= 2
The slope is 2
We can use the point slope form of the equation for a line
y-y1 = m(x-x1)
y-6 = 2(x-2)
We need to get this in slope intercept form
Distribute the 2
y-6 = 2x-4
Add 6 to each side
y-6+6 = 2x-4+6
y = 2x+2
Answer:
y = 2x + 2
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + b ( m is the slope and b the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 6) and (x₂, y₂ ) = (2, 6)
m = [tex]\frac{6+6}{2+4}[/tex] = [tex]\frac{12}{6}[/tex] = 2, hence
y = 2x + b is the partial equation
to find b substitute either of the 2 points into the partial equation
using (2, 6), then
6 = 4 + b ⇒ b = 6 - 4 = 2
y = 2x + 2 ← equation in slope-intercept form
1.4 divided by 0.7 in a model
Answer:
Step-by-step explanation:
Can someone help me please
Sierra sells book .This month she sold 683 books,which is 96 books more than she sold last month .Which equation can be be used to find the number of books she sold last month
help me on this math question thank you
Answer:
C for question 1 A for question 2Step-by-step explanation:
First Question
What you need to do here is pick an answer that will result in a decrease. If you have something like 1.3 * e ^ (0.038 * t), what will happen when t = 20
P = 1.3 * e^(0.038*20) = 1.3*e^0.76 = 2.77 which is getting bigger not smaller.
So what you want is something like 1.3 * e^-0.76 = 0.67
So which question is configured that way?
It's either C or D. but which one? It cannot be D. 0.38 is far too big: it does not represent 3.8%
C does represent 3.8% as a decimal. It is the correct answer.
Answer: C
Second Question
Every time she sells a ticket, the total that she gets is 4 more than what she had before.
The variation is a direct one. It is y = k*x. But what is k? Is it 4 or is it 1/4?
Read the first sentence above. She gets 4 dollars more, not 1/4 of a dollar.
C and D are both wrong because those equations think she is getting 1/4 more.
B is wrong because it says that the relationship is inverse. It is not. It is direct.
The answer is A
Simplify the expression
3(2+q)+15 simplified is
What is the slope of the following?
9x + 4y = -36
Answer: The slope to the equation 9x + 4y = -36 is m=-9/4
Use the slope intercept form to find the slope, and the form being y=mx+b.
Hope this helps! :)
Which exponential expression represents the numerical expression 7.7.7.7 ?
Answer:
7^4
Step-by-step explanation:
We are multiplying 7 together 4 times
7*7*7*7
The exponent represents how many times we are multiplying it together.
7^4
Answer:
[tex]7^4[/tex]
Step-by-step explanation:
A mathematical expression written in the form [tex]a^x[/tex] is said to be an exponential expression where [tex]a[/tex] is a constant called the base and [tex]x[/tex] is a variable.
Here we are given a numerical expression 7.7.7.7 which can also be converted into an exponential expression where base would be 7 while the value of its exponent will be 4 since the number 7 is occurring 4 time.
Therefore, the exponential expression will be [tex]7^4[/tex]
A train leaves train station A and heads due west for 105 miles to reach train station B. Another train leaves train station A at the same time and travels 85 miles to train station C in a direction 45 north of west from station A. To the nearest mile, how far is train station C from train station B? 75 miles 109 miles 135 miles 176 miles
Answer:
135 Miles
Step-by-step explanation:
Answer:
At the nearest mile, stations B and C are 75 miles apart.
Step-by-step explanation:
In the attached image we can see all the three stations. The closest distance between stations B and C would be a straight line that can be calculate using the Cosine Rule:
[tex](BC)^2=(AB)^2+(AC)^2-2(AB)(BC)cos(\alpha)[/tex]}
Where:
AB is the distance between stations A and B
AC is the distance between stations A and C
α is the angle formed between the AC and AB railway lines
[tex](BC)^2=(105)^2+(85)^2-2(105)(85)cos(45)[/tex]
[tex]BC=75.02 miles[/tex]
So, at the nearest mile, stations B and C are 75 miles apart.
George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money. 15 - 9 + 2.65 + 1.35 + 2(1.74) Use the order of operations to simplify this expression.
Answer:
13.48
Step-by-step explanation:
No, George do not have enough money for his plan of watching movie and purchase the items. So, the numerical expression is 15 - (9+2.65+2(1.35)+2(1.74)).
Given that, George has $15.
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.
The numerical expression for the given situation is
15 - (9+2.65+2(1.35)+2(1.74))
= 15 - (9+2.65+2.7+3.48)
= 15 - 17.83
= -2.83
No, George do not have enough money for his plan of watching movie and purchase the items. So, the numerical expression is 15 - (9+2.65+2(1.35)+2(1.74)).
To learn more about an expression visit;
https://brainly.com/question/28170201.
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1. find the product and write it in simplest form: 1 1/3 x 3/8 =
a. 1/2
b. 3 5/9
c. 7/24
d. 1 1/3
2. find the quotient and write it in simplest form: 1 2/3 ÷ 2 1/2
a. 4 1/6
b. 2/3
c. 3 2/6
d. 10/15
3. find the quotient and write it in simplest form: 4/9 ÷ 9/4
a. 1
b. 8/9
c. 4/9
d. 16/81
4. the number 7 is the multiplicative inverse of which number?
a. 1/7
b. 7
c. - 1/7
d. - 7
5. simplify using the order of operations 3 x 7² + 4
a. 151
b. 445
c. 625
d. 159
6. using the order of operations, which operation should be performed first? 3(7+2²) - 5
a. 7 + 2
b. 2²
c. 3 x 7 and 3 x 2
d. 11 - 5
7. which operation should be performed immediately after evaluating exponents using the order of operations?
a. addition & subtraction in order from left to right
b. multiplication & division in order from left to right
c. parentheses
d. powers
Answer:
The answer to number 1 is A.
Step-by-step explanation:
To find this answer, I made 1 1/3 into one big fraction. I multiplied the denominator by the whole number (3x1) and then added that product to the numerator. (3+1). The new fraction is now 4/3 (you keep the denominator the same). The next step is to multiply 4/3 by 3/8. When multiplying fractions, you multiply straight across (the numerator by the numerator, and the denominator by the denominator). Your answer is now 12/24. The final step is to simplify the answer. Since 12 is half of 24, the answer is 1/2.
van someone please help me with this i dont need an explaination i just need a. b. c. or d. please and thank you
Answer:
option C
[tex]f(x)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
we have
[tex]f(x)=-2\sqrt{x-3}+8[/tex]
using a graphing tool
see the attached figure N[tex]1[/tex]
The range is the interval--------> (-∞,8]
[tex]y\leq 8[/tex]
case A) [tex]f(x)=\sqrt{x-3}-8[/tex]
using a graphing tool
The range is the interval--------> [-8,∞)
[tex]y\geq -8[/tex]
case B) [tex]f(x)=\sqrt{x-3}+8[/tex]
using a graphing tool
The range is the interval--------> [8,∞)
[tex]y\geq 8[/tex]
case C) [tex]f(x)=-\sqrt{x+3}+8[/tex]
using a graphing tool
The range is the interval--------> (-∞,8]
[tex]y\leq 8[/tex]
case D) [tex]f(x)=-\sqrt{x-3}-8[/tex]
using a graphing tool
The range is the interval--------> (-∞,-8]
[tex]y\leq -8[/tex]
The cost of going to the big playland park for a family is given by C = 15x + 50, where C represents the cost and x represents the number of family members. How much would it cost for 10 family members to go?
A) $3
B) $4
C) $100
D) $200
Find (12x+12)−(−5x+8). step by step answers please.
Answer:
Step-by-step explanation:
First add 5x to 12x which becomes 17x and subtract 8 from 12 which becomes 4. So the answer is 17x+4!
Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference. How many rotations does each wheel make while Shawn is coasting down the ramp?
Answer: About 16
Step-by-step explanation:
Given : The length of the ramp = 500 cm
The circumference of the wheel = 32 cm
We know that the number of rotations made by a wheel is given by :-
[tex]\text{No. of rotations}=\text{Length of the ramp}\div\text{ Circumference of wheel}[/tex]
Therefore , the number of rotations made by each wheel = [tex]500\div32[/tex]
[tex]=15.625\approx16[/tex] [Rounded to the nearest integer.]
Hence, each wheel will make about 16 rotations while Shawn is coasting down the ramp.
what % is 9 of 27? I am really, really, really confused about this question
To find the percent, divide 9 by 27 to get a decimal, then multiply the decimal by 100 to get the percent:
9 / 27 = 0.333
0.333 x 100 = 33.3%
Answer:
33.33%
Step-by-step explanation:
9/27*100
=0.3333*100
=33.33%
Rafael's art class is 6 hours long. How long is his class in minutes?
Answer:
360 Minutes Long
Step-by-step explanation:
There are 60 minutes in an hour. Multiply 60*6, and you get 360 minutes.
Answer:
The art class would be 360 mins long.
Step-by-step explanation:
Jack makes W dollars an hour. He will get a $2 an hour raise. Write an expression for his new hourly wage
Answer:
2w
Step-by-step explanation:
you multiply 2 by how many hours you have worked (w)
A clerk has 1/2 book of stamps on Monday. On Tuesday, he used 1/10 of the book of stamps. How much of the book of stamps is left?
A 3/10 of the book
B 2/5 of the book
C 3/5 of the book
D 9/10 of the book
Answer: B. 2/5 of the book.
Is my answer correct
Answer:
yes
Step-by-step explanation:
the box would typically be closer to the left than in the middle
Answer:
Yes you are correct because the box plot's data is skewed left
Step-by-step explanation:
Your welcome and don't forget to say Thanks
A hot air balloon rose from ground level to 1000 feet in order to pass over a mountain. The balloon then descended 800 feet to a cruising height.
Answer:
200ft.
Step-by-step explanation:
It's 200ft because you just do 1000 - 800 = 200ft
Answer:
200
Step-by-step explanation:
-3 (e - 6)= 39 please show work
Hey there!
[tex]-3(e-6)= 39[/tex]
First, [tex]distribute[/tex][tex]-3(e)[/tex] [tex]+[/tex] [tex]-3(-6)[/tex] [tex]= 39[/tex]
[tex]-3(e) = -3e[/tex][tex](-3)(-6 = 18)[/tex] [tex]\boxed{-3e+18=39}[/tex]Second, [tex]subtract[/tex] by [tex]18[/tex] on each of your sides [tex]-3e + 18[/tex] [tex]-18[/tex] [tex]= 39- 18[/tex][tex]Cancel: 18 - 18[/tex] because it gives you the result of [tex]0[/tex][tex]Keep: 39 - 18[/tex] because it helps us get closer to our answer ( is a step to find our answer) [tex]39-18=[/tex][tex]21[/tex][tex]\boxed{-3e = 21}[/tex]Third, [tex]divide[/tex] by [tex]-3[/tex] on each of your sides[tex]\frac{-3e}{-3}[/tex][tex]= \frac{21}{-3}[/tex][tex]Cancel: \frac{-3e}{-3}[/tex] because it gives you the result of [tex]-1[/tex][tex]Keep: \frac{21}{-3}[/tex] because it gives you the result of [tex]e[/tex][tex]\Boxed{\frac{21}{-3}= -7 }[/tex]Forth, your [tex]answer[/tex][tex]\Boxed{Answer: e = -7}[/tex]Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
Identify the angle that is vertical to angle 1 choose all answers that are correct.
Answer:
WTH IDOT SCR*W YOU
Step-by-step explanation: