Answer:
x = teaspoon of soda needed = 2 teaspoons of baking soda for 1 teaspoon of salt
y = teaspoons of baking soda needed = 1/2 teaspoons of salt needed for 1 teaspoon of baking soda
Step-by-step explanation:
Teaspoon of salt : Teaspoon of soda
1/8 : 1/4
How much baking soda is needed for 1 teaspoon of salt?
Let
x = teaspoon of soda needed
Teaspoon of salt : Teaspoon of soda
1 : x
Equate both proportion
Teaspoon of salt : Teaspoon of soda
1/8 : 1/4 = 1 : x
1/8 ÷ 1/4 = 1/x
1/8 × 4/1 = 1/x
4/8 = 1/x
Cross product
4*x = 8*1
4x = 8
x = 8/4
= 2
x = 2 teaspoons of
x = teaspoon of soda needed = 2 teaspoons for 1 teaspoon of salt
2. How much salt is needed for 1 teaspoon of baking soda?
Let y = teaspoons of baking soda needed
Teaspoon of salt : Teaspoon of soda = y : 1
Equate the proportion
1/8 : 1/4 = y : 1
1/8 ÷ 1/4 = y / 1
1/8 × 4/1 = y / 1
4/8 = y / 1
Cross product
4 * 1 = 8 * y
4 = 8y
y = 4/8
= 1/2
y = 1/2 teaspoons of baking soda
y = teaspoons of baking soda needed = 1/2 teaspoons needed for 1 teaspoon of baking soda
4. What is the factored form of the expression 49x2 + 20?
A (7x + 215)(7x - 2/5)
B (7x + 2iV5) (7x - 2i75)
C (7xi + 275) (7xi - 215)
D (7xi +2175) (7xi - 2175
The factored form of the expression would be; (7x + 2√5) (7x - 2√5)
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to factor the expression form 49x² + 20
Therefore, 49 is a perfect square,
This expression could also be given as;
(7x)²- (2√5)²
Now, we know that:
a²- b² = (a + b) (a - b)
Now plug the values then we have:
(7x)²- (2√5)² = (7x + 2√5) (7x - 2√5)
Hence, the factored form of the expression would be; (7x + 2√5) (7x - 2√5)
Learn more about expression here;
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The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ 49x² + 20
The expression can be written as,
⇒ 49x² - 20i²
Simplify the expression, then we have
⇒ 49x² - 20i²
⇒ (7x)² - (2i√5)²
⇒ (7x - 2i√5)(7x + 2i√5)
The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
More about the Algebra link is given below.
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Tell whether the lines through the given points are parallel, perpendicular or neither. You must have a work that supports your answer
roast me!!!!!!!!!!!11
Answer:
bread
Step-by-step explanation:
cuz why not
haha stinky hahaha hahahahha
please help i am desperate.
Answer:
3y +9 = perimeter
Step-by-step explanation:
Answer:
4y+9
Step-by-step explanation:
To find the perimeter , you have to add up all the 4 sides
so y + y+2 + y+4 + y+3 = 4y+ 9
hope it helps
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.
Answer:
So he can buy 15 + he will have on his card left 0.65$
Step-by-step explanation:
20 / 1.29 = 15 song's
20 - 19.39 = 0.65
So he can buy 15 + he will have on his card left 0.65$
the person above me is correct.
Last one I need help on, I'm in 4th and on my sisters account she's at school, I will give brainliest if it's correct
2 1/4 x 1 1/3 = 9/4 x 4/3 = 3/1 x 1/1 = 3/1 or 3
Key: Keep, change, flip
Answer:
2 4/12 or if simplified 2 1/3
Step-by-step explanation:
2 (4x-2)- 5x=-18
HELP!!
Answer:
x = -14/3
Step-by-step explanation:
2 (4x-2) - 5x = -18
8x - 4 - 5x = -18
8x - 5x = -18 + 4
3x = -14
x = -14/3
I'm not sure if this is what you were asking for but, ya..
“Explain or show why 4:3 and 3:4 are not equivalent ratios.” Pls this is due today at 12:00 p.m
find the value of x , this like similar right triangles and geometric means and stuff
Answer:
16
Step-by-step explanation:
We can calculate the value of x using Euclidean theorem
15^2 = 9 × (x+9)
225 = 81 + 9x subtract 81 from both sides
144 = 9x divide both sides by 9
16 = x
Help me please......
Answer:
Approx. 73°
Step-by-step explanation:
What fraction is 20 min of 3 hours? Answer in simplest form
Answer:
1/9
Step-by-step explanation:
given f(x)=x^2-3x+10 find f(-2)
Answer:
there is the answer....
...
What is the discounted price of a $150 gaming chair with a discount of
15%?
due in 5 minutes
Who would have first made this statement while observing cork under a microscope?
"The cork looks like little rooms, or cells.”
A Hooke
B Schleiden
C Leeuwenhoek
D Virchow
Answer:
Hooke
Hope This Helps!
Answer:
Hooke
Step-by-step explanation:
pls dont get mad if im wrong im just here to help :)
Draw the solution for 4(2+10) when using the distributive
property.
Edward hoppers oil painting nighthawks had a length of 60 inches and a width of 30 inches . A print of the original has a length of 2.5 inches. What is the width of the print in inches ?
Answer: 1.25 in.
Step-by-step explanation: 60:30 (L:W) if you simplify you will get 2:1, but simplify to 1:0.5 for convenience. you’ll multiply both by 2.5 (so you can get the length of 2.5) so now you have 2.5 : 1.25
Width of the print of original oil painting in inches = 1.25 inches
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given,
Length of the original painting = 60 inches
width of the original painting = 30 inches
Ratio of length to width = 60/30 = 2/1
Length of the print of original = 2.5 inches
Width of the print = ?
Ratio of length to width = 2.5/width of print = 2/1
⇒ width of print = 2.5/2
⇒ width of print = 1.25 inches
Hence, 1.25 inches is the width of the print of original painting.
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In the equation 9x2 - 4 = (px - t)(px + t), p and t are constants. What is the value of p + t?
Answer: 2
Step-by-step explanation:
Write the equation of the line that has a slope of 5 and a y-intercept of 9.
SOMEONE I NEED HELP NOWWWWWW!
Answer:
Realmente no lo se.
Step-by-step explanation:
Realmente no lo se. no sé. así que sí, lo siento, no puedo ayudar.
Yoko is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $40.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Yoko has been adding money. Write an
equation relating S to W. Then use this equation to find the total amount of money in the savings account after 18 weeks.
Answer:
s=40w+350; s=$1,070
Step-by-step explanation:
Our equation looks like this:
s=40w+350
Next we plug in 18 for w, our number of weeks.
s=40(18)+350
Multiply the 40 and 18.
s=720+350
Add the 350 and 720.
s=1,070
Add a dollar sign to say that the amount is in dollars.
s=$1,070
HTH :)
The equation relating the total amount of money in the savings account, S and the number of weeks Yoko has been adding the money, W is given by S = 350 + 40W.
Total amount of money in the savings account after 18 weeks is
What is an Equation?An equation is a statement in mathematics which includes two algebraic expressions or numbers relating with an equal sign.
There are left hand side and right hand side for every equation and may or may not include variables.
S is the total amount of money in the savings account of Yoko.
W is the number of weeks Yoko has been adding money.
Initial money = 350
After 1 week total money = 350 + (1 × 40)
After 2 weeks, total money = 350 + (2 × 40)
It goes on like this until the last week.
So after W weeks total money = 350 + (W × 40)
Total amount of money in the savings account after W weeks, S = 350 + 40W.
After 18 weeks, S = 350 = (40 × 18) = $1070
Hence the equation relating W and S is, S = 350 + 40W.
Total amount of money after 18 weeks = $1070
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What is the solution to this equation?
X-15
5
O A. x=3
O B. x = 10
O C. x= 20
O D. x = 75
how to turn a fraction into a decimal, help
A fraction is really just another way to write a division problem without dividing. So all you have to do is divide, then round to whichever decimal place your teacher wants.
no clue what to do lol
Answer:
Thanks for the free points
Answer:
So, the answer for b is 20.
The way to figure this out is:
angle N is congruent to angle S
angle M is congruent to angle M
side NM is 10
because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)
Hope that helps! Let me know if it does! ;P
How much money must be deposited to earn $219 in simple interest in 8 years at an annual rate of 6.2%?
Answer: $1,147.20.
Step-by-step explanation:
The total amount accrued for principal plus interest in the calculation simple interest
= principal * (1+ rate * number of years)
= $800 *(1+ 6.2% * 7)
= $1,147.20.
Hopefully his helped, if not HMU and I will try my best to get u a better answer! :)
WILL GIVE BRAINLIEST!! NEED ANSWERS!!
1. -12x = -6
2. -15x=5
3. X+4= -13
4. -x+6= -3
5. -2x+4 = -10
6. -18x-2= 6
7. 20x-4= -2
8. 2(4x-2) = -2
9. -2 ( 3x+4) = -2
10. - (x+3) = -10
1. x=-6+12 = 6
2. x=5+15 = 20
3.x =-13-4= -17
4. -x= -3-6 = -9
x=9
5. 2x = -10-4
2x = -14
x =-14/2 =-7
6. -18x=6+2
-18x =8
x=8+18 = 26
7. 20x =-2+4
20x =2
x=2/20 =1/10
8. 8x -4 =-2
8x = -2+4
8x =2
x =2/8 = 1/4
9. -6x - 8 =-2
-6x = -2+8
-6X = 6
X = 6/-6 = 1/-1
10. -X - 3 =-10
-X = -10 +3
-x = -7
x = 7
4 out of 5 dentists prefer Crest. If they asked 30 dentists what tooth paste they prefer, how many did NOT PREFER Crest.
Answer:
24 would prefer CREST
6 woul NOT prefer Crest
Step-by-step explanation:
4:5=x:30
The cheerleading squad sold 480 spirit ribbons, collecting a total of $360.00. What was the cost of each ribbon?
Answer:
1.33
Step-by-step explanation:
480 divided by 360 gets you 1.33
Answer:
Each ribbon costs $0.75.
Step-by-step explanation:
All you need to do solve the problem is divide 360/480 = 0.75.
To check your answer, multiply 0.75 by the number of ribbons sold:
0.75 x 480 = 360
I hope this helped! If it did, please consider rating my answer and pressing thanks. Have a fantastic day!
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3 kid's meal for his little brother. Charlie has $27. How much can he spend on each sandwich if they are all the same price?
Answer:
$4
Step-by-step explanation:
27 - 3 = 24
24 ÷ 6 = 4
have a goodnight! :)
Answer:
a) Answer: $4 or less
b) Inequality: 6x + 3 ≤ 27
Step-by-step explanation: took the quiz and got it right!
The price of n tickets to a concert is is 9n + 6 dollars. What is the cost, in dollars, for 8 tickets to the play?
The cost for 8 tickets to the play is
Answer:
78
Step-by-step explanation:
do 9 x 8= 72
then 72 + 6= 78
I give Brainliest!
Determine whether the following statements are sometimes, always or never true.
Equilateral triangles are also right triangles.
All angles of an equilateral triangle are congruent.
Answer: Equilateral triangles are also right triangles sometimes. All angles of an equilateral are congruet sometimes.
Holly stops to drink 5 ounces of water every two miles she
runs. The further that Holly runs, the more she drinks water.
Complete the table by writing two equivalent ratios
Answer:
the amount of water she drinks is x, the mileage is y:
x y
2 miles 5 oz
4 miles 10 oz
6 miles 15 oz
the ratios would be 4/10 and 6/15
Step-by-step explanation:
for every 2 miles Holly runs, she drinks 5 oz of water, right? the ratio is 5:2, so if you were to come up with other numbers that match the ratio, they have to be divisible by the parts of the ratio. so if she runs 2 miles, she drinks 5 oz. if she runs 4 miles, then she drinks 10 oz.
think of a ratio like a fraction (in this case it would be 2/5). if you were to make equivalent ratios, then the two fractions would have to be equal, right? well, when you simplify all of the numbers listed in the table above after making them into fractions, they would all go back to 2/5, so the numbers i came up with above are equivalent ratios, meaning they have the same value when simplified.
hopefully that helps and isn't too confusing! if you need other help, let me know! :)
