Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange​ paint, he needs 7 ounces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange​ paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.
a. Arnie buys a​ 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange​ paint? Explain.
Yes.
The 3 cups of dark orange paint require
21
21 ​ounce(s) of red​ paint, and the 3 cups of light orange paint require
9
4.5 ​ounce(s) of red paint. Arnie needs
30
25.5 ​ounce(s) of red paint in​ total, so the​ 32-oz can is
enough.
​(Type integers or​ decimals.)
b. Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he​ need?
Arnie needs
4216
nothing ​ounce(s) of yellow paint. The 3 cups of dark orange require
3
3 ​ounce(s) of yellow​ paint, and the 3 cups of light orange require
391313
nothing ​ounce(s) of yellow paint.
​(Type integers or​ decimals.)

Answer:

x is greater than negative 4, and less than or equal to 5

Step-by-step explanation:

Answer: X is greater than negative 4 and less than 5

Step-by-step explanation: The line is from -4 to 5, the unfilled dot on top of -4 means the number can't be 4, it must be greater and the filled in dot on 5 means it is equal to or less than 5.

Answer: c = 3

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.

Step 1: Subtract 4 from both sides.

-17 - 4 = -7c

Step 2: Simplify -17 - 4 to -21.

-21 = 7c

Step 3: Divide both sides by -7.

[tex]\frac{-21}{-7}[/tex] = c

Step 4: Two negatives make a positive.

[tex]\frac{21}{7}[/tex] = c

Step 5: Simplify [tex]\frac{21}{7}[/tex] to 3.

3 = c

Step 6: Switch sides.

c = 3

~I hope I helped you! :)~

Answer:

yes, because it is an even number

Step-by-step explanation:

Answer:

So the square of 48 is not perfect square

Step-by-step explanation:

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{15 \: ft}}}}[/tex]

Step-by-step explanation:

[tex] \text{Given} : [/tex]

[tex] \rm{Area \: of \: a \: rectangular \: garden \: = 105 \: {ft}^{2} }[/tex]

[tex] \rm{Width\: of \: a \: rectangular \: garden \: = \: 7 \: ft}[/tex]

[tex] \underline{ \rm{Finding \: the \: length \: of \: a \: rectangular \: garden}} : [/tex]

[tex] \boxed{ \rm{Area \: of \: a \: rectangle \: = \: Length \: \times \: Width}}[/tex]

[tex] \rm{➳ \: 105 = 7 \: Length}[/tex]

[tex] \rm{➳ \: 7 \: Length \: = 105}[/tex]

[tex] \rm{➳ \: \frac{7 \:Length}{7} = \frac{105}{7} }[/tex]

[tex] ➳ \boxed{ \rm{ \: Length \: = \: 15 \: ft}}[/tex]

[tex] \text{The \: Length \: of \: a \: rectangular \: garden \: is \boxed{ \rm15 \: ft}}.[/tex]

[tex] \text{Hope \: I\: helped!}[/tex]

[tex] \rm{Best \: regards!}[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

Answer:

I think it might be C im not sure tho

Answer:

-34

Step-by-step explanation:

Answer:

1.18

Step-by-step explanation:

Given the Magnitude of an earth quake model :

M = log(x/c)

x = measured amplitude ; c = reference amplitude

Amplitude of seismic wave in first earthquake = 15 amplitude of seismic wave in second

Let amplitude of seismic wave in first earthquake = x1

amplitude of seismic wave in second earthquake = x2

x1 = 15 * x2 = 15x2

Hence ;

1st earthquake magnitude :

M1 = log(a/c)

2nd earthquake magnitude :

M2 = log(15a/c)

M1 - M2

Log(x1/c) - log(x2/c)

Using the quotient rule

Log(x1) - log(c) - [log(x2) - log(c)]

Log(x1) - log(c) - log(x2) + log(c)

Log(x1) - log(x2)

Substituting x1 = 15x2

Log(x1) = log(15x2)

Seperating using product rule:

Log(x1) = log(15*x2) = log(15) + log(x2)

Hence,

log(15) + log(x2) - log(x2)

Log(15) - 0

= 1.1760

= 1.18 (nearest hundredth)

Answer:

2 1/2

Step-by-step explanation:

−45+3310=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(-4/5, 33/10) = 10

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(−45×22)+(33/10×11)=?

Complete the multiplication and the equation becomes

−8/10+33/10=?

The two fractions now have like denominators so you can add the numerators.

Then:

−8+33/10=25/10

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 25 and 10 using

GCF(25,10) = 5

25÷5/10÷5=5/2

The fraction

52

is the same as

5÷2

Convert to a mixed number using

long division for 5 ÷ 2 = 2R1, so

52=212

Therefore:

−4/5+33/10= 2 1/2

Answer:

can u help me then i will help u:/

Step-by-step explanation:

Answer:

y=10x+35

so for 4 yoga classes, it is $75

so for 8 yoga classes, it is $115

so for 12 yoga classes, it is $155

Step-by-step explanation:

So 35 is only a one-time payment and it is over so we just add 35, but $10 is the rate of change depending on how much yoga class you have been into so the equation will be y=10x+35

Explanation for 4 yoga classes: y=10(4)+35 which is 75

Explanation for 8 yoga classes: y=10(8)+35 which is 115

Explanation for 12 yoga classes: y=10(12)+35 which is 155

Hope this helps!

Answer:

67% or 0.67

Step-by-step explanation:

Given that:

P(1 child under age 21) = 55%

P(2 children under age 21) = 22%

P(3 children under age 21) = 15%

P(4 children under age 21) = 5%

P(5 or more children under age 21) = 3%

If a family is selected at random, what is the probability the family has 1 or 3 children under the age of 21?

P(1 or 3 children under age 21):

Either the selected family has 1 child under 21 years of age OR the selected family has 3 children under 21 years of age ;

P(1 child under age 21) + P(3 children under age 21)

= 55% + 15%

= 67% = 0.67

Answer:

There will be 2 bags of chips sold

Step-by-step explanation:

A system of equation is a collection of one or more equation involving the same variables.

Now , according to question :

since , he had sold 26 lollipop , then total money he made from lollipop is : 26 * $1 = $26

Let us assume he sold x number of chips

money made from chips = $ 1.50 * x

Total money made : $30                          (Given )

equation according to question will be

26 + 1.50 x = 30

x= 2.7

Since , number of packets  can never be in decimal hence, rounding off to 2 packets

x= 2

Learn more about system of equation:

https://brainly.com/question/21620502?referrer=searchResults

#SPJ2

Answer:

i think your answer would be $8.49 for a pair of gloves.

Step-by-step explanation:

50.94 / 6 = 8.49

Answer:

[tex]\frac{5}{18}[/tex]

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus

4 parts = 4 × £60 = £240 ← Alvin's share

5 parts = 5 × £60 = £300 ← Simon's share

[tex]\frac{1}{2}[/tex] × £240 = £120

[tex]\frac{1}{10}[/tex] × £300 = £30

Theo receives £120 + £30 = £150 , which as a fraction is

[tex]\frac{150}{540}[/tex] ( divide numerator/ denominator by 30 )

= [tex]\frac{5}{18}[/tex] ← in simplest form

Answer: It's slope is zero

Step-by-step explanation:

Answer:

the slope is zero

Step-by-step explanation:

it is going straight

Equation Given:

6⁴×6³

Step by step explanation:

Step 1:

[tex] {6}^{4} \times {6}^{3} [/tex]

Step 2:

[tex] = 1296 \times 216[/tex]

Step 3:

[tex] = 279936✓[/tex]

Answer:

[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]

[tex]{6}^{4} \times {6}^{3} [/tex]

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

[tex] {6}^{4} \times {6}^{3}\\

=>{6}^{(4 + 3)} \\

=>{6}^{7}\\

=>6×6×6×6×6×6×6\\

=>36×36×36×6\\

=>279936\ is\ answer..[/tex]

Answer:

RT = 8

Step-by-step explanation:

The given parameters for the triangle are;

The vertices of the given triangle = RSQ

The point on the perpendicular bisector = Pont S and T

The length of the line segment RT = x

The length of the line segment TQ = 8

The length of the line segment QS = 10

The length of the line segment RS = 10

Given that I is a perpendicular bisector that passes through the vertex S, we have;

The line I bisects the segment RQ at point T into equal segments TQ and TR

Therefore, TQ ≅ TR and we have TQ = TR = 8

TR = 8

TR = RT (reflexive property)

Therefore; RT = 8.

Answer:

RS = 12

Step-by-step explanation:

if your question is asking for RS

Answer:

Slope intercept form:

[tex]y = \frac{2}{3}x - \frac{9}{7}[/tex]

Answer:

y = 2/3x - 9/7

Step-by-step explanation:

If you want the slope intercept form:

y = 2/3x - 9/7

       ^         ^

   slope   y-intercept

Answer:

y = x/2 + 4

Step-by-step explanation:

When you are trying to find the line which is parallel to the first line, remember that the second line would have the SAME GRADIENT as the first line.

Slope can be calculated using the formula: m= [tex]\frac{y2 - y1}{x2 - x1}[/tex]

y1/x1 represents the first number in the bracket

y2/x2 represents the second number in the bracket

Calculation

m = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

m =[tex]\frac{4 - (-2)}{(-9)-3}[/tex]

m= 6/-12

m= -0.5 or -1/2

Therefore, the answer is B.

Answer:

m = slope = -2

Step-by-step explanation:

[tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{10-2}{-1-3} = \frac{8}{-4} = -2[/tex]

Hope this helped! :)

Answer:

8 chairs

Step-by-step explanation:

5 quarts= 40/8 quarts

1 chair= 5/8 quarts

40/8-5/8x=0

(-40/8)/(-5/8)=x

8 chairs

Answer:

The measure of the indicated angles is 62°.

Reason: vertical angles

Step-by-step explanation:

a)2^8=256

2^5*2^x=2^8

5+x=8

x=8-5

x=3

b)(1/3)^6

(1/3)^2*(1/3)^x=(1/3)^6

2+x=6

x=6-2

x=4

therefore the value of x in a is 3

and the value of x in b is 4

hope it helps u...pls mark it as the brainliest answer..

a) The value of x is 3

b) The value of x is 5

Given the expression [tex]2^5\cdot 2^x = 256[/tex]

Using the law of indices, the equation becomes;

[tex]2^{5+x} = 2^8\\5 + x = 8\\x = 8 -5 \\x = 3[/tex]

Hence the value of x is 3

b)

[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = (\frac{1}{729})\\(\frac{1}{3})^{2+x} =(\frac{1}{729}) \\(\frac{1}{3})^{2+x} =(\frac{1}{3^7}) \\3^{-(2+x)}=3^{-7}\\-2-x = -7\\x = 5[/tex]

Hence the value of x is 5

Learn more on indices here: https://brainly.com/question/10339517

Answer:

Option (K)

Step-by-step explanation:

From the figure attached,

Coordinates of the point T(x, y),

x-coordinate shows the distance (ST) of point T horizontally from origin and y-coordinate show the vertical distance (OS) of point T from the origin.

If OS = ST, x and y coordinates should be same in measure.

For the point (k, 5),

OS = 5 and ST = k

Since, OS = ST,

Therefore, k = 5

Option (K) will be the correct option.

Answer:

2/8, 4,16

Step-by-step explanation:

Answer:

5×5×5=5³

Step-by-step explanation:

Answer:

A power, or exponent, represents how many times the term, in this case 5, is multiplied by itself. So multiply 5 by itself until you get 125. Then write your answer as 5ˣ where x is the number of times you multiplied 5 by itself.

Hopefully this helped. Please don't use this platform as a way to get free homework answers. You don't learn anything that way.

Answer:

-2/3+1/3= - 1/3

Step-by-step explanation:

if you look at the number line you just go once to the right