Solve for the variable in the following proportion.
1/4 is to 1 1/4 as 2 is to b
B =
Can someone give an explanation?
Answers
Answer: b = 10
Step-by-step explanation:
We want a ratio of b/2 that is equal to the ratio of 1/4 to 1 1/4 (or 5/4).
Ratio of (1/4)/(5/4):
(1/4)/(5/4) = (1/4)*(4/5) = 4/20 = 1/5 or 0.2
We want 2/b = 1/5 or 0.20
2/b = 0.20
b = 2/0.20
b = 10
--
Check: Does 10/2 = (1/4)/(5/4)?
Yes
b is 10
Related Questions
plss help me with this:((((
Answers
Step-by-step explanation:
what is a square ? or is a number or term/expression for which the square root creates a clean result without any endless positions after the decimal point or non-integer exponents.
for the first problem a is already the right answer.
14b⁴ is not a square term, although b⁴ itself is one (= b²×b²), because 14 is not a square (its square root is an endless number).
1 is actually a square (= 1×1).
b² and y⁴ are squares (b×b and y²×y²).
16b² and 49 are squares (4b×4b and 7×7).
(b+1)⁴ and 4b⁶ are squares ((b+1)²×(b+1)² and 2b³×2b³).
factors of x² + 5x - 6
you know how generic factor multiplication works ?
(x + a)(x + b) = x² + ax + bx + ab
so by comparing, we see that
ax + bx is 5x
therefore
a + b = 5
and
ab = -6
now we could solve this ultimately quadratic problem or (much simpler) use the answer options and see which one fits.
and the right answer is c :
-1 + 6 = 5 (that fits)
-1×6 = -6 (that fits too, so this answer is correct).
given the numbers -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6, which are rational numbers?
Answers
Answer:
-100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6
All the numbers
Step-by-step explanation:
A rational number is a number that can be expressed as in a fraction or decimal (m/n form)
All numbers above can be defined.
A rational number is a number that c\an be written in the form of p/q where q is not equal to zero.
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
What is a rational number?A rational number is a number that can be written in the form of p/q where q is not equal to zero.
We have,
-100, -14.5, -2, -2/3, 0, 19, 15, 20, 1/6
-100 = -100/1
It is in the form of p/q.
It is a rational number.
-14.5 = -145/10
It is in the form of p/q.
It is a rational number.
-2 = -2/1
It is in the form of p/q.
It is a rational number.
-2/3 = -2/3
It is in the form of p/q.
It is a rational number.
0 = 0/1
It is in the form of p/q.
It is a rational number.
19 = 19/1
It is in the form of p/q.
It is a rational number.
15 = 15/1
It is in the form of p/q.
It is a rational number.
20 = 20/1
It is in the form of p/q.
It is a rational number.
1/6
It is in the form of p/q.
It is a rational number.
We see that all the numbers given are rational numbers.
Thus,
The rational numbers are -100, -14.5, -2, -2/3, 0, 10, 15, 20 1/6.
Learn more about rational numbers here:
https://brainly.com/question/24398433
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Teresa received a $90 gift card for a coffee store. She used it buying some coffee that cost $8.59 per pound. After buying the coffee, she had $38.46 left on her card. How many pounds of coffee did she buy?
Answers
Answer:
6 pounds of coffee
Step-by-step explanation:
Given Teresa's $90 gift card for a coffee store, and a balance of $38.46 on her card:
Subtract the remaining balance of $38.46 from the $90 original balance on Teresa's card, to determine how much she spent on coffee.
$90.00 - $38.46 = $51.54
Next, divide the amount that she spent at the coffee store by the $8.59 cost per pound to find out how many pounds of coffee she purchased from the store:
$51.54 ÷ $8.59 per pound = 6 pounds
Therefore, she bought 6 pounds of coffee worth $51.54 from the store.
Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?
f(x) = 6x – 1
f(x) = 8x – 6
f(x) = 4x – 14
f(x) = 4x – 10
Answers
Answer:
483/798-5458+7429=19035674846 :))
Step-by-step explanation:
what do you call two guys that like math B)
Answers
Answer:
Step-by-step explanation:
Math nerds, algebros?
If your restaurant bill was $24.67 and there is a 7% tax, how much total would you have to pay? (round to nearest hundredth)
Answers
Answer:
1.73
Step-by-step explanation:
A class is collecting aluminum cans. Every Monday each student brings in a bag with 10 cans. They put 10 bags into a box. How many boxes do they need to hold 1000 cans
Answers
Answer:
the answer is 100.
Step-by-step explanation:
divide 1000 by 10
The number of boxes required to hold 1000 cans is 100 bags.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, every Monday each student brings in a bag with 10 cans.
They put 10 bags into a box.
So, number of boxes required to hold 1000 cans
= 1000/10
= 100 bags
Therefore, the number of boxes required to hold 1000 cans is 100 bags.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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ANSWER QUESTION 2 PLEASE? OR EXPLAIN IT?
Answers
Answer:
Step-by-step explanation:
Answer: The length of the third side is greater than 4 ft and less than 20 ft.
Step-by-step explanation: Given that two sides of a triangle have lengths 8 ft and 12 ft.
We are to describe the possible lengths of the third side.
Let x ft be the length of the third side of the triangle.
We know that
the sum of the lengths of any two sides of a triangle is always greater than the third side.
So, we must have
Also,
and
From inequalities (i), (ii) and (iii), we get
Thus, the length of the third side is greater than 4 ft and less than 20 ft.
What function represents the next graph?
Answers
[tex](x {}^{2} - 4) {}^{2} [/tex]
Brainliest me please please
ples help meeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
po 989r9 vcmc cohol,j
Step-by-step explanation:
If 12 inches = 1 foot, and 3 feet = 1 yard, how many inches are there in 2.5 yards? step by step
Answers
2.5 yards = 7.5ft
12inch x 7.5 = 90
ANSWER: 90 inches
Pre-Algebra simple question
Answers
Step-by-step explanation:
multiplication
yep that is the answer
Answer:
multiplication should be used
Is w = 4 a solution to the inequality below? w < 11 5 yes no
Answers
Answer:
yes
Step-by-step explanation:
just sub in the 4 for the w and see if the equation can be solved. if it can, then w=4 is a solution.
since 4 IS less than 11 5, w=4 can be a solution.
Brainliest please!!! Have a good day!!!!
Dr. Smith purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for license plates, and $40 for a state safety and emissions inspection. How much does she need to pay for these extra charges, not including the price of the car?
Answers
Answer:
999
Step-by-step explanation:
Answer:
999
Step-by-step explanation:
8% of 11,325 is 906
53 plus 40 is 93
906 plus 93 is 999
HELPPPPPPP ME ASAPPPPPP
Answers
Answer:
D
Step-by-step explanation:
Perpendicular lines intersect to create right angles. That rules out A and B because both have a right angle in them. C has two lines that are parallel. The only one left is D which is neither parralell or perpendicualar.
Helpppp!!
Drag each image to the correct location on the graph. Each image can be used more than once.
The following list shows the grams of fiber per serving for each flavor of oatmeal at a grocery store.
3, 6, 3, 4, 2, 4, 4
3, 5, 2, 1, 4, 1, 2
Create a histogram that correctly displays the data.
Answers
Answer:
The answer is 2, 6, 5, 1 for the Grams of Fiber.
Step-by-step explanation:
divide 75 liters in the ratio 12 8 5
Answers
Answer:
According to the question,
[tex]12x + 8x + 5x = 75[/tex]
_____________________
[tex]12x + 8x + 5x = 75[/tex]
[tex]25x = 75[/tex]
[tex]x = \frac{75}{25} [/tex]
[tex]x = 3[/tex]
Now,
[tex]12x = 36[/tex]
[tex]8x = 24[/tex]
[tex]3x = 15[/tex]
So,
75 in the ratio of 12 : 8 : 5 is
36, 24 and 15
Answer:
36 : 24 : 15
Step-by-step explanation:
sum the parts of the ratio, 12 + 8 + 5 = 25 parts
Divide the quantity by 25 to find the value of one part of the ratio
75 l ÷ 25 = 3 l , then
12 parts = 12 × 3 = 36 l
8 parts = 8 × 3 = 24 l
5 parts = 5 × 3 = 15 l
Evaluate (x + 3)? – 6 when x = 4.
Answers
Answer:
D. 43
Step-by-step explanation:
1. To evaluate the expression, we plug in the value of 4 into x and simplify.
[tex](4+3)^2-6[/tex] [tex](7)^2-6[/tex] [tex]49-6[/tex] [tex]43[/tex]Therefore, the answer is D. 43.
Answer:
43
Step-by-step explanation:
(4 + 3)^2 - 6
7^2 - 6
49 - 6
43
( 1 - 7n) times 5
What are the steps to solving it?
Answers
Answer:
5 - 35n.
Step-by-step explanation:
5(1 - 7n)
Using the Distributive Law:
= 5*1 + 5 *-7n
= 5 - 35n.
for g(x)=2x^2-8x-10 find each value
g(2)
g(5)+12
g(8)-18
g(-3)-g(4)
Answers
Answer: ask your teacher duh
Step-by-step explanation:
PLEASE HELP ASAP
A shop sells a washing machine for £236.25, making a profit of 5%. At what wholesale price did the shop buy the washing machine?
Original price = £
Answers
Answer:
£225
Step-by-step explanation:
The relationship between the cost price (cp) and the selling price (sp) is ...
cp + 5% × cp = sp
cp(1.05) = sp . . . . . . collect terms
cp = sp/1.05 . . . . . . divide by 1.05
cp = £236.25/1.05 = £225
The original wholesale price was £225.
help me!
A
B
C
D
E
F
Answers
Answer: g
Step-by-step explanation:
Given f(x) = 8x + 1 and g(x) = f(x - 2), which equation represents g?
O A. g(x) = 6x + 1
O B. g(x) = 6x - 1
O C. g(x) = 8x + 15
O D. g(x) = 8x - 15
Answers
Answer:Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g substitute x-2 for x in f(x). we have. g(x)=8(x-2)+1. =8x-16+1. =8x-15.
Step-by-step explanation:
what is the x-intercept of a line that passes through the point (3,4) and has a slope of 2?
Answers
Answer:
(1,0)
Step-by-step explanation:
Hi there!
We want to find the x intercept of the line that passes through the point (3,4) and has a slope of 2
First, let's find the line
We are given both a slope, and a point. We can write the equation of the line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
We do have everything needed to write the equation, let's just label everything to avoid confusion:
m=2
[tex]x_1=3[/tex]
[tex]y_1[/tex]=4
Now substitute those values as the variables that they represent into the equation:
[tex]y-y_1=m(x-x_1)[/tex]
y-4=2(x-3)
Now we have the equation in slope-point form
The x intercept of the line is the value in which the line passes through the x axis. The value of y at this point is 0
So we can substitute y as 0 in the equation to find out the value of x:
y-4=2(x-3)
0-4=2(x-3)
Multiply
0-4=2x-6
Add 6 to both sides
0+2=2x
Simplify the left
2=2x
Divide both sides by 2
1=x
So the value of the x intercept is 1, also written as the point (1,0)
Hope this helps!
What is mZ2 + m 3? А 1 2 3 4 D m22 + m 23 =
Answers
Answer:
link
Step-by-step explanation:
Solve the equation below 2(t+4)=7+5(t-4)
Answers
Answer:
t= 7
Step-by-step explanation:
2(t +4)= 7 +5(t -4)
Expand:
2t +2(4)= 7 +5t +5(-4)
2t +8= 7 +5t -20
2t +8= 5t -13
Bring constants to one side, t terms to the other:
5t -2t= 13 +8
Simplify:
3t= 21
Divide both sides by 3:
t= 21 ÷3
t= 7
Tucker rings up an item that costs $35. After sales tax, the total is $37.80. What is the sales tax percentage?
Answers
Answer:
3 PERCENT
Step-by-step explanation:
I DID THE QUIZ
What is 7536 to 1 significant figure
Answers
Answer:
8000
Step-by-step explanation:
Evaluate the expression-3 x + 4 when x = 2.
Answers
Answer:
-2
Step-by-step explanation:
-3x + 4
-3(2) + 4
-6 + 4
-2
Substitute in 2 for x, and solve.
help me pleaseeeeeeeeeeee
Answers
Answer:
Step-by-step explanation:
a) 6305/65= 97
b) 94+94= 188
306-188= 118
Answer:
a. 87 b. 59
Step-by-step explanation:
typing bc I need to have 20 letters