Answer:
She will need 1/6 of a cup of sugar to make 1/4 of the recipe.
Step-by-step explanation:
Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:
1 recipe 2/3 cup
------------- = -------------
1/4 recipe x
Cross multiplying gives us:
1x = (1/4)(2/3), or
x =2/12 or 1/6
She will need 1/6 of a up of sugar to make 1/4 of the recipe.
What effect does decreasing the temperature of a room have on a lifespan of a battery?
Which variable is highlighted in red, bolded tex?
This question is incomplete. There are options in the question (from reference) and no highlight in the red bolded text in the question.
What effect does decreasing the temperature of a room have on a lifespan of a battery?
Which variable is highlighted in red, bolded tex?
a . Independent
b . Dependent
c . Control
d . None
But the answer to both the independent and dependent variables will be provided and explained in detail.
Answer:
Independent variable: decrease in temperature
Dependent variable: lifespan of battery
Step-by-step explanation:
The independent variable in an experiment is defined as the variable that can be changed or manipulated in order to find an outcome while the dependent variable is defined as the variable that is influenced by the changes in the independent variable.
In the given example, a decrease in temperature is the dependent variable as it is changing and the lifespan of battery is the dependent variable as it is responding to the independent variable ?9decrease in temperature).
Please help me with this!
A group of experimenters has 60 wasps in a large container and needs to assign 15 to each of four groups labeled A, B, C, and D for an experiment. They can capture the wasps one at a time when the wasps enter a side chamber in the container that is baited with food. Which of the following methods is most likely to result in four comparable groups of 15 wasps each? (4 points) a- Place each wasp in its own numbered container (numbered from 1−60) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D. b- Label the first 15 wasps caught as group A, the second 15 caught as group B, the third 15 caught as group C, and the fourth 15 caught as group D. c- Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Pick another slip and assign the next 15 wasps caught to that group. Assign the remaining wasps to the remaining group. d- When each wasp is caught, roll a die. If the die shows an even number, the wasp is labeled A. If the die shows an odd number, the wasp is labeled B. When 15 wasps have been labeled A and 15 have been labeled B, split the remaining 30 wasps into groups C and D. e- When each wasp is caught, roll a die. If the die shows a 1 or 2, the wasp is labeled A. If the die shows a 3 or 4, the wasp is labeled B. If the die shows a 5 or 6, the wasp is labeled C. Repeat this process for 45 wasps. Assign the remaining 15 wasps to group D.
Answer:
The correct answer is:
a-
Place each wasp in its own numbered container (numbered from 160) in the order that it was caught. Write the numbers from 1 to 60 on slips of paper, put the slips in a jar, and mix them well. Pick 15 numbers out of the jar. Assign the wasps in the containers with those numbers to group A. Pick 15 more numbers for group B. Pick 15 more numbers for group C. Assign the remaining 15 wasps to group D.
Step-by-step explanation:
Each other answer is affected by the order in which wasps were caught, which may be due to a confounding variable.
(I also got this question right on my test :) Please rate this answer to help others. If you believe I am incorrect please rate 1 star so that others will know).
2x+4=8x-2 i don’t know
Answer:
x = 1
Step-by-step explanation:
2x+4=8x-2
2x - 8x = -4 -2
-6x = -6
x = 1
Steps to solve:
2x + 4 = 8x - 2
~Subtract 4 to both sides
2x = 8x - 6
~Subtract 8x to both sides
-6x = -6
~Divide -6 to both sides
x = 1
Best of Luck!
Given A (-3,5) and B (6,7) find AB
Answer:2/9
Step-by-step explanation:
AB=[tex]\frac{7-5}{6+3}[/tex]
=[tex]\frac{2}{9}[/tex]
Solve the equation.
t + 25 = 26
Answer: t = 1
Step-by-step explanation:
Subtract 25 on both sides. t = 1The solution to the equation t + 25 = 26 is t = 1.
The given equation is,
t + 25 = 26
To solve this equation,
Isolate the variable t,
Which means we need to get rid of the 25 on the left side of the equation.
To do that, Subtract 25 from both sides of the equation,
since what we do to one side, we must do to the other to keep the equation balanced.
So,
t + 25 - 25 = 26 - 25.
Simplifying this, we have t = 1.
Therefore, the solution to the equation t + 25 = 26 is t = 1.
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rewrite 1/4 books over 1/3 hour as a unit rate. A. 1 1/3 bookss/hour B. 1/12 books/hour C. 3/4 books/hour D. 12 books/hour
Answer:
The Answer would be option C. 3/4 books per hour
Step-by-step explanation:
You would flip 1/3 to 3/1 which makes it a whole number. then multiply
1/4 and 3.
Therefore your answer is 3/4
I hope this helped you,
I need help with this math problem please
Answer:
65 -3x = 55 -2.5x20 periods$5Step-by-step explanation:
The value of the first card starts at $65 and decreases by $3 for each of x periods. Its value is ...
65 -3x
The value of the second card starts at $55 and decreases by $2.50 for each of x periods. Its value is ...
55 -2.5x
The equation that can be used to find x that makes the values equal is ...
65 -3x = 55 -2.5x
__
The solution can be found by adding 3x-55 to both sides of this equation.
10 = 0.5x
Multiplying by 2 gives ...
20 = x
After 20 30-day periods. the cards will have the same value.
__
The value after 20 periods is ...
65 -3×20 = 65 -60 = 5
Both cards will have a value of $5 when they have the same value.
a woman buys a plot of land of area 0.36hectares she pays $8.50 per square meter for the land what is it's total cost
Answer:
$30,600
Step-by-step explanation:
1 hectare = 10,000 [tex]m^2[/tex]
0.36 hectare = 0.36 * 10000 [tex]m^2[/tex] = 3600 [tex]m^2[/tex]
She pays $8.50 per square meter. Thus, the total cost is:
[tex]3600 * 8.50 = \$30,600[/tex]
Answer: $30,600
2p +5q = 21
3p-2q=-16
Answer:
p =− 2
q = 5
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
p =− 2
q = 5
Answer:
q = 5
p = -2
Step-by-step explanation:
I'm gonna use elimination
2p + 5q = 21 Multiply 3 ------> 6p +15q = 63
3p - 2q = -16 Multiply 2 -------> 6p -4q = -32
6p +15q = 63
6p -4q = -32 -__________
19q = 95
q = 5
To find P use any of the equations and substitute q to 5
3p -2(5) = -16
3p -10 = -16
3p = -6
p = -2
What is the quotient of StartFraction 6 Over 7 EndFraction and StartFraction 3 Over 14 EndFraction?
(A) 1/4
(B) 2
(C) 3 1/3
(D) 4
Answer:
The correct answer is (D) 4
Step-by-step explanation:
Hopes this helps!
Answer:
(D) 4
Step-by-step explanation:
6/7
÷
3/14
=
6/7
×
14/3
=
6 × 14
7 × 3
=
84/21
=
84 ÷ 21
21 ÷ 21
= 4
9
Find the value of a*
(1 Point)
If the line y = 2ax + 3 is parallel to the line y = 4 - 6
Answer:
u can use desmos
Step-by-step explanation:
this is integrated math2, help plzzzz. i’m so lost idk what this is:/
I remember doing the last question.
If you recall, x = 29
Just plug 29 into x for each angle
A = 3(29) = 87
B = 2(29) + 1 = 59
C = 29 + 5 = 34
Answer:
The value of angle C is 34°
Step-by-step explanation:
2x+1°+x+5°+3x° = 180° { the sum of angle of triangle is 180°}
or, 6x + 6° = 180°
or, 6x = 180° - 6°
or, x = 174°/6
or, x = 29°
now,
value of angle C = x+5°
= 29°+5°
= 34°
4x plus 1 divided by 3 equals x minus 5 divided 2
After solving the equation, the value obtained for x will be equal to -17/5.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given statement in the question,
The equation for the given statement will be,
(4x + 1)/3 = (x - 5)/2
8x + 2 = 3x - 15
8x - 3x = -15 - 2
Solve the equation for x.
5x = -17
x = -17/5
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How can I Solve this ?
a line has a slope of 9 and includes the points (2,a) and (4,9.) What is the value of a?
Answer:
my guess would have to be a= -9 (negative nine)
Step-by-step explanation:
sorry, i tried solving the problem otherwise and couldn't get an answer, good luck
The temperature at 2:00 pm is 27 degrees at 2 :00 the temperature has fallen to -4 degrees what is the difference in temperature from 2:00 pm to 2:00 am ?
Answer:
31 degrees
Step-by-step explanation:
Difference in temperature from 2:00 pm to 2:00 am = 27 - (-4) = 27 + 4 = 31 degrees
Ratio of wins to losses in 42 games with 35 wins.
oh wait no nvm sorry i got t wrong im so sorry dont listen to me im trash
The intersection of two streets forms a parallelogram. One street is 40 feet wide. The height of the parallelogram formed is 25 ft. What is the area of the intersection?
Answer:
1000 feet²
Step-by-step explanation:
Given that,
Width of a parallelogram is 40 feet
Height of the parallelogram is 25 feet
We need to find the area of the intersection that forms a parallelogram. The formula for the area of a parallelogram is given by :
A = base × height
A = 40 × 25
A = 1000 feet²
So, the area of the parallelogram is 1000 feet²
Find the slope “m” and the y-intercept “b”. a. y = 3x − 4 b. 4x − 5y = 15
Step-by-step explanation:
Equation of a line is y = mx + b
where
m is the slope
b is the y intercept
First question
a.)y = 3x - 4
Comparing with the general equation above
Slope / m = 3
The y intercept / b = - 4
Second question
b).4x - 5y = 15
First we must write the equation in the general equation above by making y the subject
That's
5y = 4x - 15
Divide both sides by 5
That's
[tex] \frac{5y}{5} = \frac{4}{5} x - \frac{15}{5} [/tex]
We have
[tex]y = \frac{4}{5} x - 3[/tex]
Comparing with the general equation above
Slope = 4/5
Y intercept = - 3
Hope this helps you
State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2
Answer:
they are not inverses
Step-by-step explanation:
f(1) = 1/1 +3 = 1 +3 = 4
g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1
If the functions were inverses, we would have g(f(1)) = 1, which we do not.
The given functions are not inverses.
_____
The same would be true if your functions were
f(x) = 1/(x+3) and g(x) = 4/(x+2)
f(1) = 1/(1+3) = 1/4
g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1
A brother and a sister want to split 300 dolars by the ratio of their age.How much money does each get if the brother is 14 and the sister is 11?
Answer:
Brother: $168.00
Sister: $132.00
Step-by-step explanation:
14 + 11 = 25
300/25=12
Brother gets (12*14) $168.00
Sister gets (12*11) $132.00
Find the lowest common multiple (LCM) of 30 and 42
Answer:
2-30,42
3-15,21
5-5,7
7-1,7
-1,1
LCM of 30 and 42 is 210
Answer:
210
Step-by-step explanation:
30*42 by HCF of 30,42
1260 by 6 =210
which words name the shape ?
Answer:
D
Step-by-step explanation:
It's these shapes because:
Rectangle- A quadrilateral with 2 pairs of congruent sides and only 90° angles is a rectangle.
Parallelogram- A quadrilateral with 2 pairs of parallel sides is a parallelogram.
Answer:
The fourth one
Step-by-step explanation: The fourth one because a parallelogram has four sides that are equal which makes a parallelogram and the second thing is it's a rectangle.
There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using decimal form that can be used to find the amount of years,y, it will take for there to be approximately 450 deer on the island.
An equation is shown below:
−2(4x − 1) − 7 = 5
Which statement shows a correct next step in solving the equation?
Answer:
Distribute -2 into (4x-1) to get rid of the parenthesis.
Step-by-step explanation:
The first thing you should to in solving for 'x' is to get rid of the parentheses by distributing.
[tex]-2(4x-1)-7=5\\\\-8x-2-7=5[/tex]
Of course, you would also combine like terms to completely simplify the equation to solve for x.
[tex]-8x-9=5[/tex]
Hope this helps.
3. Burns has a bank account with a balance of $65.00. Burns paid $35.00 to
his credit card and he spends $40.00 for a hamburger. What would Burns's
bank balance be, after both debits were paid?
I NEED HELP ASAP PLEASEEEE
Evaluate the expression for w = 9.
2w − 2 =
Answer:
2w-2=16
Step-by-step explanation:
w=9
2w-2
2(9)-2
18-2
16
Answer:
16
Step-by-step explanation:
When we have an expression and we are given the value of the variable, we can substitute inside the expression and find it’s value.
[tex]2w-2[/tex], we know [tex]w=9[/tex] so:
[tex](2\cdot 9) - 2[/tex]
[tex]2\cdot9=18[/tex]
[tex]18-2\\\\16[/tex]
Hope this helped!
i’m confused. someone pls help (＋_＋)
2. d - 2.5
4. 2n
6. 4(x + 1/2)
8. 2k + (s - 2)
10. 5(m / 2)
What is the equation of the line that has a slope of -4 and goes through (-1,6)
Answer:
y = -4x + 2
Step-by-step explanation:
We know that the equation of slope is y = mx + bWe also know that the slope is -4 given in this problem So:y = -4x + bUsing the point (-1, 6), we can substitute this point into the above equation to solve for b. (6) = -4(-1) + b6 = 4 + bb = 2Therefore the equation of the line is y = -4x + 2