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Rainbow [258]
4 years ago
13

There are five more blue blocks than green blocks. Three times the number of green blocks, increased by double the number of blu

e, equals 95. How many of each colour are there?
Mathematics
1 answer:
KonstantinChe [14]4 years ago
7 0

Answer:

22 blue blocks

17 green blocks

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

There are five more blue blocks than green blocks.

So, the number of blue blocks (b) is equal to the number of green blocks (g) plus 5.

  • b = g+5

Three times the number of green blocks (3g), increased by double the (+2b) number of blue, equals 95.  

  • 3g+2b =95

The system is  

b = g+5

3g+2b =95

Replacing b=g+5 in the second equation:

3g + 2 (g+5)=95

Solving for g:

3g +2g+10 =95

5g = 95-10

5g=85

g= 85/5

g= 17

Replacing g=17 in the first equation:

b = g+5

b = 17 +5

b=22

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Answer:

Your answer is 55

Step-by-step explanation:

11% of 500 is 55

hope it helps :)

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8 0
3 years ago
Solve for x <br><br>x- 5/3=1​
Tasya [4]

Answer:

x = 8/3 or 2 2/3

Step-by-step explanation:

x - 5/3 = 1

x - 5/3 + 5/3 = x

1 + 5/3 = 8/3 or 2 2/3

x = 8/3 or 2 2/3

4 0
3 years ago
Read 2 more answers
For the functions h and g, which statement is true if h(x) = x and g(x) = (x + 14)?
pickupchik [31]

Answer:

For the functions h and g, which statement is true if h(x) = x and g(x) = (x + 14)?

(F) The graph of g is the result of the graph of h being translated right 14 units.

(G) The graph of g is the result of the graph of h being translated left 14 units.

(H) The graph of g is steeper than the graph of h.

(J) The graph of g is less steep than the graph of h.

Step-by-step explanation:

For the functions h and g, which statement is true if h(x) = x and g(x) = (x + 14)?

(F) The graph of g is the result of the graph of h being translated right 14 units.

(G) The graph of g is the result of the graph of h being translated left 14 units.

(H) The graph of g is steeper than the graph of h.

(J) The graph of g is less steep than the graph of h.

8 0
3 years ago
Avery has a total of $12.50 in her piggy bank at home. Each week she takes out $1.25 to ride the city bus. Write an equation rep
NISA [10]
The the number of weeks would be 10 weeks
6 0
4 years ago
Read 2 more answers
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The
KonstantinChe [14]

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis is:

H_o: \mu = 8

The alternative hypothesis is:

H_1 : \mu \ne 8

The sample size n = 35

Sample mean = 7.91

variance = 0.03

Standard deviation = \sqrt{0.03}  = 0.173

The t-test statistics is computed as:

t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}

t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}

t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}

t = - 3.0741

Degree of freedom:

df = n - 1

df = 35 - 1

df = 34

Level of significance = 1 - C.I

= 1 - 0.99

= 0.01

The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:

t_{critical} = -2.728 \ and \ 2.728

Decision rule: To reject H_o if  t< -2.728 \ or \ t > 2.728

As t_{statistics} fails the rejection region, we reject H_o

Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.

3 0
3 years ago
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